CINXE.COM
Flat optics with designer metasurfaces | Nature Materials
<!DOCTYPE html> <html lang="en" class="grade-c"> <head> <title>Flat optics with designer metasurfaces | Nature Materials</title> <link rel="alternate" type="application/rss+xml" href="https://www.nature.com/nmat.rss"/> <script id="save-data-connection-testing"> function hasConnection() { return navigator.connection || navigator.mozConnection || navigator.webkitConnection || navigator.msConnection; } function createLink(src) { var preloadLink = document.createElement("link"); preloadLink.rel = "preload"; preloadLink.href = src; preloadLink.as = "font"; preloadLink.type = "font/woff2"; preloadLink.crossOrigin = ""; document.head.insertBefore(preloadLink, document.head.firstChild); } var connectionDetail = { saveDataEnabled: false, slowConnection: false }; var connection = hasConnection(); if (connection) { connectionDetail.saveDataEnabled = connection.saveData; if (/\slow-2g|2g/.test(connection.effectiveType)) { connectionDetail.slowConnection = true; } } if (!(connectionDetail.saveDataEnabled || connectionDetail.slowConnection)) { createLink("/static/fonts/HardingText-Regular-Web-cecd90984f.woff2"); } else { document.documentElement.classList.add('save-data'); } </script> <link rel="preconnect" href="https://cmp.nature.com" crossorigin> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <meta name="applicable-device" content="pc,mobile"> <meta name="viewport" content="width=device-width,initial-scale=1.0,maximum-scale=5,user-scalable=yes"> <meta name="360-site-verification" content="5a2dc4ab3fcb9b0393241ffbbb490480" /> <script data-test="dataLayer"> window.dataLayer = [{"content":{"category":{"contentType":"review article","legacy":{"webtrendsPrimaryArticleType":"reviews","webtrendsSubjectTerms":"metamaterials","webtrendsContentCategory":null,"webtrendsContentCollection":"International Year of Light 2015","webtrendsContentGroup":"Nature Materials","webtrendsContentGroupType":null,"webtrendsContentSubGroup":"Review Article","status":null}},"article":{"doi":"10.1038/nmat3839"},"attributes":{"cms":null,"deliveryPlatform":"oscar","copyright":{"open":false,"legacy":{"webtrendsLicenceType":null}}},"contentInfo":{"authors":["Nanfang Yu","Federico Capasso"],"publishedAt":1390435200,"publishedAtString":"2014-01-23","title":"Flat optics with designer metasurfaces","legacy":null,"publishedAtTime":null,"documentType":"aplusplus","subjects":"Metamaterials"},"journal":{"pcode":"nmat","title":"nature materials","volume":"13","issue":"2","id":41563,"publishingModel":"Hybrid Access"},"authorization":{"status":false},"features":[{"name":"furtherReadingSection","present":true}],"collection":{"id":"kwhbfh"}},"page":{"category":{"pageType":"article"},"attributes":{"template":"mosaic","featureFlags":[{"name":"nature-onwards-journey","active":false}],"testGroup":null},"search":null},"privacy":{},"version":"1.0.0","product":null,"session":null,"user":null,"backHalfContent":true,"country":"SG","hasBody":true,"uneditedManuscript":false,"twitterId":["o3xnx","o43y9","o3ef7"],"baiduId":"d38bce82bcb44717ccc29a90c4b781ea","japan":false}]; window.dataLayer.push({ ga4MeasurementId: 'G-ERRNTNZ807', ga360TrackingId: 'UA-71668177-1', twitterId: ['3xnx', 'o43y9', 'o3ef7'], baiduId: 'd38bce82bcb44717ccc29a90c4b781ea', ga4ServerUrl: 'https://collect.nature.com', imprint: 'nature' }); </script> <script> (function(w, d) { w.config = w.config || {}; w.config.mustardcut = false; if (w.matchMedia && w.matchMedia('only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark)').matches) { w.config.mustardcut = true; d.classList.add('js'); d.classList.remove('grade-c'); d.classList.remove('no-js'); } })(window, document.documentElement); </script> <style>@media only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark) { .c-article-editorial-summary__container .c-article-editorial-summary__article-title,.c-card--major .c-card__title,.c-card__title,.u-h2,.u-h3,h2,h3{-webkit-font-smoothing:antialiased;font-family:Harding,Palatino,serif;font-weight:700;letter-spacing:-.0117156rem}.c-article-editorial-summary__container .c-article-editorial-summary__article-title,.c-card__title,.u-h3,h3{font-size:1.25rem;line-height:1.4rem}.c-reading-companion__figure-title,.u-h4,h4{-webkit-font-smoothing:antialiased;font-weight:700;line-height:1.4rem}html{text-size-adjust:100%;box-sizing:border-box;font-size:100%;height:100%;line-height:1.15;overflow-y:scroll}body{background:#eee;color:#222;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1.125rem;line-height:1.76;margin:0;min-height:100%}details,main{display:block}h1{font-size:2em;margin:.67em 0}a,sup{vertical-align:baseline}a{background-color:transparent;color:#069;overflow-wrap:break-word;text-decoration:underline;text-decoration-skip-ink:auto;word-break:break-word}b{font-weight:bolder}sup{font-size:75%;line-height:0;position:relative;top:-.5em}img{border:0;height:auto;max-width:100%;vertical-align:middle}button,input,select{font-family:inherit;font-size:100%;line-height:1.15;margin:0}button,input{overflow:visible}button,select{text-transform:none}[type=submit],button{-webkit-appearance:button}[type=checkbox]{box-sizing:border-box;padding:0}summary{display:list-item}[hidden]{display:none}button{border-radius:0;cursor:pointer;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}h1{-webkit-font-smoothing:antialiased;font-family:Harding,Palatino,serif;font-size:2rem;font-weight:700;letter-spacing:-.0390625rem;line-height:2.25rem}.c-card--major .c-card__title,.u-h2,.u-h3,h2{font-family:Harding,Palatino,serif;letter-spacing:-.0117156rem}.c-card--major .c-card__title,.u-h2,h2{-webkit-font-smoothing:antialiased;font-size:1.5rem;font-weight:700;line-height:1.6rem}.u-h3{font-size:1.25rem}.c-card__title,.c-reading-companion__figure-title,.u-h3,.u-h4,h4,h5,h6{-webkit-font-smoothing:antialiased;font-weight:700;line-height:1.4rem}.c-article-editorial-summary__container .c-article-editorial-summary__article-title,.c-card__title,h3{font-family:Harding,Palatino,serif;font-size:1.25rem}.c-article-editorial-summary__container .c-article-editorial-summary__article-title,h3{-webkit-font-smoothing:antialiased;font-weight:700;letter-spacing:-.0117156rem;line-height:1.4rem}.c-reading-companion__figure-title,.u-h4,h4{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1.125rem;letter-spacing:-.0117156rem}button:focus{outline:3px solid #fece3e;will-change:transform}input+label{padding-left:.5em}nav ol,nav ul{list-style:none none}p:empty{display:none}.sans-serif{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}.article-page{background:#fff}.c-article-header{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;margin-bottom:40px}.c-article-identifiers{color:#6f6f6f;display:flex;flex-wrap:wrap;font-size:1rem;line-height:1.3;list-style:none;margin:0 0 8px;padding:0}.c-article-identifiers__item{border-right:1px solid #6f6f6f;list-style:none;margin-right:8px;padding-right:8px}.c-article-identifiers__item:last-child{border-right:0;margin-right:0;padding-right:0}.c-article-title{font-size:1.5rem;line-height:1.25;margin:0 0 16px}@media only screen and (min-width:768px){.c-article-title{font-size:1.875rem;line-height:1.2}}.c-article-author-list{display:inline;font-size:1rem;list-style:none;margin:0 8px 0 0;padding:0;width:100%}.c-article-author-list__item{display:inline;padding-right:0}.c-article-author-list svg{margin-left:4px}.c-article-author-list__show-more{display:none;margin-right:4px}.c-article-author-list__button,.js .c-article-author-list__item--hide,.js .c-article-author-list__show-more{display:none}.js .c-article-author-list--long .c-article-author-list__show-more,.js .c-article-author-list--long+.c-article-author-list__button{display:inline}@media only screen and (max-width:539px){.js .c-article-author-list__item--hide-small-screen{display:none}.js .c-article-author-list--short .c-article-author-list__show-more,.js .c-article-author-list--short+.c-article-author-list__button{display:inline}}#uptodate-client,.js .c-article-author-list--expanded .c-article-author-list__show-more{display:none!important}.js .c-article-author-list--expanded .c-article-author-list__item--hide-small-screen{display:inline!important}.c-article-author-list__button,.c-button-author-list{background:#ebf1f5;border:4px solid #ebf1f5;border-radius:20px;color:#666;font-size:.875rem;line-height:1.4;padding:2px 11px 2px 8px;text-decoration:none}.c-article-author-list__button svg,.c-button-author-list svg{margin:1px 4px 0 0}.c-article-author-list__button:hover,.c-button-author-list:hover{background:#069;border-color:transparent;color:#fff}.c-article-info-details{font-size:1rem;margin-bottom:8px;margin-top:16px}.c-article-info-details__cite-as{border-left:1px solid #6f6f6f;margin-left:8px;padding-left:8px}.c-article-metrics-bar{display:flex;flex-wrap:wrap;font-size:1rem;line-height:1.3}.c-article-metrics-bar__wrapper{margin:16px 0}.c-article-metrics-bar__item{align-items:baseline;border-right:1px solid #6f6f6f;margin-right:8px}.c-article-metrics-bar__item:last-child{border-right:0}.c-article-metrics-bar__count{font-weight:700;margin:0}.c-article-metrics-bar__label{color:#626262;font-style:normal;font-weight:400;margin:0 10px 0 5px}.c-article-metrics-bar__details{margin:0}.c-article-main-column{font-family:Harding,Palatino,serif;margin-right:8.6%;width:60.2%}@media only screen and (max-width:1023px){.c-article-main-column{margin-right:0;width:100%}}.c-article-extras{float:left;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;width:31.2%}@media only screen and (max-width:1023px){.c-article-extras{display:none}}.c-article-associated-content__container .c-article-associated-content__title,.c-article-section__title{border-bottom:2px solid #d5d5d5;font-size:1.25rem;margin:0;padding-bottom:8px}@media only screen and (min-width:768px){.c-article-associated-content__container .c-article-associated-content__title,.c-article-section__title{font-size:1.5rem;line-height:1.24}}.c-article-associated-content__container .c-article-associated-content__title{margin-bottom:8px}.c-article-body p{margin-bottom:24px;margin-top:0}.c-article-section{clear:both}.c-article-section__content{margin-bottom:40px;padding-top:8px}@media only screen and (max-width:1023px){.c-article-section__content{padding-left:0}}.c-article-authors-search{margin-bottom:24px;margin-top:0}.c-article-authors-search__item,.c-article-authors-search__title{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}.c-article-authors-search__title{color:#626262;font-size:1.05rem;font-weight:700;margin:0;padding:0}.c-article-authors-search__item{font-size:1rem}.c-article-authors-search__text{margin:0}.c-article-license__badge,c-card__section{margin-top:8px}.c-code-block{border:1px solid #eee;font-family:monospace;margin:0 0 24px;padding:20px}.c-code-block__heading{font-weight:400;margin-bottom:16px}.c-code-block__line{display:block;overflow-wrap:break-word;white-space:pre-wrap}.c-article-share-box__no-sharelink-info{font-size:.813rem;font-weight:700;margin-bottom:24px;padding-top:4px}.c-article-share-box__only-read-input{border:1px solid #d5d5d5;box-sizing:content-box;display:inline-block;font-size:.875rem;font-weight:700;height:24px;margin-bottom:8px;padding:8px 10px}.c-article-share-box__button--link-like{background-color:transparent;border:0;color:#069;cursor:pointer;font-size:.875rem;margin-bottom:8px;margin-left:10px}.c-article-editorial-summary__container{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem}.c-article-editorial-summary__container .c-article-editorial-summary__content p:last-child{margin-bottom:0}.c-article-editorial-summary__container .c-article-editorial-summary__content--less{max-height:9.5rem;overflow:hidden}.c-article-editorial-summary__container .c-article-editorial-summary__button{background-color:#fff;border:0;color:#069;font-size:.875rem;margin-bottom:16px}.c-article-editorial-summary__container .c-article-editorial-summary__button.active,.c-article-editorial-summary__container .c-article-editorial-summary__button.hover,.c-article-editorial-summary__container .c-article-editorial-summary__button:active,.c-article-editorial-summary__container .c-article-editorial-summary__button:hover{text-decoration:underline;text-decoration-skip-ink:auto}.c-article-associated-content__container .c-article-associated-content__collection-label{font-size:.875rem;line-height:1.4}.c-article-associated-content__container .c-article-associated-content__collection-title{line-height:1.3}.c-context-bar{box-shadow:0 0 10px 0 rgba(51,51,51,.2);position:relative;width:100%}.c-context-bar__title{display:none}.c-reading-companion{clear:both;min-height:389px}.c-reading-companion__sticky{max-width:389px}.c-reading-companion__scroll-pane{margin:0;min-height:200px;overflow:hidden auto}.c-reading-companion__tabs{display:flex;flex-flow:row nowrap;font-size:1rem;list-style:none;margin:0 0 8px;padding:0}.c-reading-companion__tabs>li{flex-grow:1}.c-reading-companion__tab{background-color:#eee;border:1px solid #d5d5d5;border-image:initial;border-left-width:0;color:#069;font-size:1rem;padding:8px 8px 8px 15px;text-align:left;width:100%}.c-reading-companion__tabs li:first-child .c-reading-companion__tab{border-left-width:1px}.c-reading-companion__tab--active{background-color:#fff;border-bottom:1px solid #fff;color:#222;font-weight:700}.c-reading-companion__sections-list{list-style:none;padding:0}.c-reading-companion__figures-list,.c-reading-companion__references-list{list-style:none;min-height:389px;padding:0}.c-reading-companion__references-list--numeric{list-style:decimal inside}.c-reading-companion__sections-list{margin:0 0 8px;min-height:50px}.c-reading-companion__section-item{font-size:1rem;padding:0}.c-reading-companion__section-item a{display:block;line-height:1.5;overflow:hidden;padding:8px 0 8px 16px;text-overflow:ellipsis;white-space:nowrap}.c-reading-companion__figure-item{border-top:1px solid #d5d5d5;font-size:1rem;padding:16px 8px 16px 0}.c-reading-companion__figure-item:first-child{border-top:none;padding-top:8px}.c-reading-companion__reference-item{border-top:1px solid #d5d5d5;font-size:1rem;padding:8px 8px 8px 16px}.c-reading-companion__reference-item:first-child{border-top:none}.c-reading-companion__reference-item a{word-break:break-word}.c-reading-companion__reference-citation{display:inline}.c-reading-companion__reference-links{font-size:.813rem;font-weight:700;list-style:none;margin:8px 0 0;padding:0;text-align:right}.c-reading-companion__reference-links>a{display:inline-block;padding-left:8px}.c-reading-companion__reference-links>a:first-child{display:inline-block;padding-left:0}.c-reading-companion__figure-title{display:block;margin:0 0 8px}.c-reading-companion__figure-links{display:flex;justify-content:space-between;margin:8px 0 0}.c-reading-companion__figure-links>a{align-items:center;display:flex}.c-reading-companion__figure-full-link svg{height:.8em;margin-left:2px}.c-reading-companion__panel{border-top:none;display:none;margin-top:0;padding-top:0}.c-cod,.c-reading-companion__panel--active{display:block}.c-cod{font-size:1rem;width:100%}.c-cod__form{background:#ebf0f3}.c-cod__prompt{font-size:1.125rem;line-height:1.3;margin:0 0 24px}.c-cod__label{display:block;margin:0 0 4px}.c-cod__row{display:flex;margin:0 0 16px}.c-cod__row:last-child{margin:0}.c-cod__input{border:1px solid #d5d5d5;border-radius:2px;flex-basis:75%;flex-shrink:0;margin:0;padding:13px}.c-cod__input--submit{background-color:#069;border:1px solid #069;color:#fff;flex-shrink:1;margin-left:8px;transition:background-color .2s ease-out 0s,color .2s ease-out 0s}.c-cod__input--submit-single{flex-basis:100%;flex-shrink:0;margin:0}.c-cod__input--submit:focus,.c-cod__input--submit:hover{background-color:#fff;color:#069}.c-pdf-download__link .u-icon{padding-top:2px}.c-pdf-download{display:flex;margin-bottom:16px;max-height:48px}@media only screen and (min-width:540px){.c-pdf-download{max-height:none}}@media only screen and (min-width:1024px){.c-pdf-download{max-height:48px}}.c-pdf-download__link{display:flex;flex:1 1 0%}.c-pdf-download__link:hover{text-decoration:none}.c-pdf-download__text{padding-right:4px}@media only screen and (max-width:539px){.c-pdf-download__text{text-transform:capitalize}}@media only screen and (min-width:540px){.c-pdf-download__text{padding-right:8px}}.c-context-bar--sticky .c-pdf-download{display:block;margin-bottom:0;white-space:nowrap}@media only screen and (max-width:539px){.c-pdf-download .u-sticky-visually-hidden{clip:rect(0,0,0,0);border:0;height:1px;margin:-100%;overflow:hidden;padding:0;position:absolute!important;width:1px}}.c-pdf-container{display:flex;justify-content:flex-end}@media only screen and (max-width:539px){.c-pdf-container .c-pdf-download{display:flex;flex-basis:100%}}.c-pdf-container .c-pdf-download+.c-pdf-download{margin-left:16px}.c-article-extras .c-pdf-container .c-pdf-download{width:100%}.c-article-extras .c-pdf-container .c-pdf-download+.c-pdf-download{margin-left:0}@media only screen and (min-width:540px){.c-context-bar--sticky .c-pdf-download__link{align-items:center;flex:1 1 183px}}@media only screen and (max-width:320px){.c-context-bar--sticky .c-pdf-download__link{padding:16px}}.article-page--commercial .c-article-main-column .c-pdf-button__container .c-pdf-download{display:none}@media only screen and (max-width:1023px){.article-page--commercial .c-article-main-column .c-pdf-button__container .c-pdf-download{display:block}}.c-status-message--success{border-bottom:2px solid #00b8b0;justify-content:center;margin-bottom:16px;padding-bottom:8px}.c-recommendations-list__item .c-card{flex-basis:100%}.c-recommendations-list__item .c-card__image{align-items:baseline;flex:1 1 40%;margin:0 0 0 16px;max-width:150px}.c-recommendations-list__item .c-card__image img{border:1px solid #cedbe0;height:auto;min-height:0;position:static}@media only screen and (max-width:1023px){.c-recommendations-list__item .c-card__image{display:none}}.c-card__layout{display:flex;flex:1 1 auto;justify-content:space-between}.c-card__title-recommendation{-webkit-box-orient:vertical;-webkit-line-clamp:4;display:-webkit-box;font-size:1rem;font-weight:700;line-height:1.4;margin:0 0 8px;max-height:5.6em;overflow:hidden!important;text-overflow:ellipsis}.c-card__title-recommendation .c-card__link{color:inherit}.c-card__title-recommendation .c-card__link:hover{text-decoration:underline}.c-card__title-recommendation .MathJax_Display{display:inline!important}.c-card__link:not(.c-card__link--no-block-link):before{z-index:1}.c-article-metrics__heading a,.c-article-metrics__posts .c-card__title a,.c-article-recommendations-card__link{color:inherit}.c-recommendations-column-switch .c-meta{margin-top:auto}.c-article-recommendations-card__meta-type,.c-meta .c-meta__item:first-child{font-weight:700}.c-article-body .c-article-recommendations-card__authors{display:none;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;line-height:1.5;margin:0 0 8px}@media only screen and (max-width:539px){.c-article-body .c-article-recommendations-card__authors{display:block;margin:0}}.c-article-metrics__posts .c-card__title{font-size:1.05rem}.c-article-metrics__posts .c-card__title+span{color:#6f6f6f;font-size:1rem}p{overflow-wrap:break-word;word-break:break-word}.c-ad{text-align:center}@media only screen and (min-width:320px){.c-ad{padding:8px}}.c-ad--728x90{background-color:#ccc;display:none}.c-ad--728x90 .c-ad__inner{min-height:calc(1.5em + 94px)}@media only screen and (min-width:768px){.js .c-ad--728x90{display:none}}.c-ad__label{color:#333;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;font-weight:400;line-height:1.5;margin-bottom:4px}.c-author-list{color:#6f6f6f;font-family:inherit;font-size:1rem;line-height:inherit;list-style:none;margin:0;padding:0}.c-author-list>li,.c-breadcrumbs>li,.c-footer__links>li,.js .c-author-list,.u-list-comma-separated>li,.u-list-inline>li{display:inline}.c-author-list>li:not(:first-child):not(:last-child):before{content:", "}.c-author-list>li:not(:only-child):last-child:before{content:" & "}.c-author-list--compact{font-size:.875rem;line-height:1.4}.c-author-list--truncated>li:not(:only-child):last-child:before{content:" ... "}.js .c-author-list__hide{display:none;visibility:hidden}.js .c-author-list__hide:first-child+*{margin-block-start:0}.c-meta{color:inherit;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;line-height:1.4;list-style:none;margin:0;padding:0}.c-meta--large{font-size:1rem}.c-meta--large .c-meta__item{margin-bottom:8px}.c-meta__item{display:inline-block;margin-bottom:4px}.c-meta__item:not(:last-child){border-right:1px solid #d5d5d5;margin-right:4px;padding-right:4px}@media only screen and (max-width:539px){.c-meta__item--block-sm-max{display:block}.c-meta__item--block-sm-max:not(:last-child){border-right:none;margin-right:0;padding-right:0}}@media only screen and (min-width:1024px){.c-meta__item--block-at-lg{display:block}.c-meta__item--block-at-lg:not(:last-child){border-right:none;margin-right:0;padding-right:0}}.c-meta__type{font-weight:700;text-transform:none}.c-skip-link{background:#069;bottom:auto;color:#fff;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;padding:8px;position:absolute;text-align:center;transform:translateY(-100%);z-index:9999}@media (prefers-reduced-motion:reduce){.c-skip-link{transition:top .3s ease-in-out 0s}}@media print{.c-skip-link{display:none}}.c-skip-link:link{color:#fff}.c-status-message{align-items:center;box-sizing:border-box;display:flex;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem;position:relative;width:100%}.c-card__summary>p:last-child,.c-status-message :last-child{margin-bottom:0}.c-status-message--boxed{background-color:#fff;border:1px solid #eee;border-radius:2px;line-height:1.4;padding:16px}.c-status-message__heading{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem;font-weight:700}.c-status-message__icon{fill:currentcolor;display:inline-block;flex:0 0 auto;height:1.5em;margin-right:8px;transform:translate(0);vertical-align:text-top;width:1.5em}.c-status-message__icon--top{align-self:flex-start}.c-status-message--info .c-status-message__icon{color:#003f8d}.c-status-message--boxed.c-status-message--info{border-bottom:4px solid #003f8d}.c-status-message--error .c-status-message__icon{color:#c40606}.c-status-message--boxed.c-status-message--error{border-bottom:4px solid #c40606}.c-status-message--success .c-status-message__icon{color:#00b8b0}.c-status-message--boxed.c-status-message--success{border-bottom:4px solid #00b8b0}.c-status-message--warning .c-status-message__icon{color:#edbc53}.c-status-message--boxed.c-status-message--warning{border-bottom:4px solid #edbc53}.c-breadcrumbs{color:#000;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1rem;list-style:none;margin:0;padding:0}.c-breadcrumbs__link{color:#666}svg.c-breadcrumbs__chevron{fill:#888;height:10px;margin:4px 4px 0;width:10px}@media only screen and (max-width:539px){.c-breadcrumbs .c-breadcrumbs__item{display:none}.c-breadcrumbs .c-breadcrumbs__item:last-child,.c-breadcrumbs .c-breadcrumbs__item:nth-last-child(2){display:inline}}.c-card{background-color:transparent;border:0;box-shadow:none;display:flex;flex-direction:column;font-size:14px;min-width:0;overflow:hidden;padding:0;position:relative}.c-card--no-shape{background:0 0;border:0;box-shadow:none}.c-card__image{display:flex;justify-content:center;overflow:hidden;padding-bottom:56.25%;position:relative}@supports (aspect-ratio:1/1){.c-card__image{padding-bottom:0}}.c-card__image img{left:0;min-height:100%;min-width:100%;position:absolute}@supports ((-o-object-fit:cover) or (object-fit:cover)){.c-card__image img{height:100%;object-fit:cover;width:100%}}.c-card__body{flex:1 1 auto;padding:16px}.c-card--no-shape .c-card__body{padding:0}.c-card--no-shape .c-card__body:not(:first-child){padding-top:16px}.c-card__title{letter-spacing:-.01875rem;margin-bottom:8px;margin-top:0}[lang=de] .c-card__title{hyphens:auto}.c-card__summary{line-height:1.4}.c-card__summary>p{margin-bottom:5px}.c-card__summary a{text-decoration:underline}.c-card__link:not(.c-card__link--no-block-link):before{bottom:0;content:"";left:0;position:absolute;right:0;top:0}.c-card--flush .c-card__body{padding:0}.c-card--major{font-size:1rem}.c-card--dark{background-color:#29303c;border-width:0;color:#e3e4e5}.c-card--dark .c-card__title{color:#fff}.c-card--dark .c-card__link,.c-card--dark .c-card__summary a{color:inherit}.c-header{background-color:#fff;border-bottom:5px solid #000;font-size:1rem;line-height:1.4;margin-bottom:16px}.c-header__row{padding:0;position:relative}.c-header__row:not(:last-child){border-bottom:1px solid #eee}.c-header__split{align-items:center;display:flex;justify-content:space-between}.c-header__logo-container{flex:1 1 0px;line-height:0;margin:8px 24px 8px 0}.c-header__logo{transform:translateZ(0)}.c-header__logo img{max-height:32px}.c-header__container{margin:0 auto;max-width:1280px}.c-header__menu{align-items:center;display:flex;flex:0 1 auto;flex-wrap:wrap;font-weight:700;gap:8px 8px;line-height:1.4;list-style:none;margin:0 -8px;padding:0}@media print{.c-header__menu{display:none}}@media only screen and (max-width:1023px){.c-header__menu--hide-lg-max{display:none;visibility:hidden}}.c-header__menu--global{font-weight:400;justify-content:flex-end}.c-header__menu--global svg{display:none;visibility:hidden}.c-header__menu--global svg:first-child+*{margin-block-start:0}@media only screen and (min-width:540px){.c-header__menu--global svg{display:block;visibility:visible}}.c-header__menu--journal{font-size:.875rem;margin:8px 0 8px -8px}@media only screen and (min-width:540px){.c-header__menu--journal{flex-wrap:nowrap;font-size:1rem}}.c-header__item{padding-bottom:0;padding-top:0;position:static}.c-header__item--pipe{border-left:2px solid #eee;padding-left:8px}.c-header__item--padding{padding-bottom:8px;padding-top:8px}@media only screen and (min-width:540px){.c-header__item--dropdown-menu{position:relative}}@media only screen and (min-width:1024px){.c-header__item--hide-lg{display:none;visibility:hidden}}@media only screen and (max-width:767px){.c-header__item--hide-md-max{display:none;visibility:hidden}.c-header__item--hide-md-max:first-child+*{margin-block-start:0}}.c-header__link{align-items:center;color:inherit;display:inline-flex;gap:4px 4px;padding:8px;white-space:nowrap}.c-header__link svg{transition-duration:.2s}.c-header__show-text{display:none;visibility:hidden}.has-tethered .c-header__heading--js-hide:first-child+*{margin-block-start:0}@media only screen and (min-width:540px){.c-header__show-text{display:inline;visibility:visible}}.c-header__dropdown{background-color:#000;border-bottom:1px solid #2f2f2f;color:#eee;font-size:.875rem;line-height:1.2;padding:16px 0}@media print{.c-header__dropdown{display:none}}.c-header__heading{display:inline-block;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:1.25rem;font-weight:400;line-height:1.4;margin-bottom:8px}.c-header__heading--keyline{border-top:1px solid;border-color:#2f2f2f;margin-top:16px;padding-top:16px;width:100%}.c-header__list{display:flex;flex-wrap:wrap;gap:0 16px;list-style:none;margin:0 -8px}.c-header__flush{margin:0 -8px}.c-header__visually-hidden{clip:rect(0,0,0,0);border:0;height:1px;margin:-100%;overflow:hidden;padding:0;position:absolute!important;width:1px}.c-header__search-form{margin-bottom:8px}.c-header__search-layout{display:flex;flex-wrap:wrap;gap:16px 16px}.c-header__search-layout>:first-child{flex:999 1 auto}.c-header__search-layout>*{flex:1 1 auto}.c-header__search-layout--max-width{max-width:720px}.c-header__search-button{align-items:center;background-color:transparent;background-image:none;border:1px solid #fff;border-radius:2px;color:#fff;cursor:pointer;display:flex;font-family:sans-serif;font-size:1rem;justify-content:center;line-height:1.15;margin:0;padding:8px 16px;position:relative;text-decoration:none;transition:all .25s ease 0s,color .25s ease 0s,border-color .25s ease 0s;width:100%}.u-button svg,.u-button--primary svg{fill:currentcolor}.c-header__input,.c-header__select{border:1px solid;border-radius:3px;box-sizing:border-box;font-size:1rem;padding:8px 16px;width:100%}.c-header__select{-webkit-appearance:none;background-image:url("data:image/svg+xml,%3Csvg height='16' viewBox='0 0 16 16' width='16' xmlns='http://www.w3.org/2000/svg'%3E%3Cpath d='m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z' fill='%23333' fill-rule='evenodd' transform='matrix(0 1 -1 0 11 3)'/%3E%3C/svg%3E");background-position:right .7em top 50%;background-repeat:no-repeat;background-size:1em;box-shadow:0 1px 0 1px rgba(0,0,0,.04);display:block;margin:0;max-width:100%;min-width:150px}@media only screen and (min-width:540px){.c-header__menu--journal .c-header__item--dropdown-menu:last-child .c-header__dropdown.has-tethered{left:auto;right:0}}@media only screen and (min-width:768px){.c-header__menu--journal .c-header__item--dropdown-menu:last-child .c-header__dropdown.has-tethered{left:0;right:auto}}.c-header__dropdown.has-tethered{border-bottom:0;border-radius:0 0 2px 2px;left:0;position:absolute;top:100%;transform:translateY(5px);width:100%;z-index:1}@media only screen and (min-width:540px){.c-header__dropdown.has-tethered{transform:translateY(8px);width:auto}}@media only screen and (min-width:768px){.c-header__dropdown.has-tethered{min-width:225px}}.c-header__dropdown--full-width.has-tethered{padding:32px 0 24px;transform:none;width:100%}.has-tethered .c-header__heading--js-hide{display:none;visibility:hidden}.has-tethered .c-header__list--js-stack{flex-direction:column}.has-tethered .c-header__item--keyline,.has-tethered .c-header__list~.c-header__list .c-header__item:first-child{border-top:1px solid #d5d5d5;margin-top:8px;padding-top:8px}.c-header__item--snid-account-widget{display:flex}.c-header__container{padding:0 4px}.c-header__list{padding:0 12px}.c-header__menu .c-header__link{font-size:14px}.c-header__item--snid-account-widget .c-header__link{padding:8px}.c-header__menu--journal{margin-left:0}@media only screen and (min-width:540px){.c-header__container{padding:0 16px}.c-header__menu--journal{margin-left:-8px}.c-header__menu .c-header__link{font-size:16px}.c-header__link--search{gap:13px 13px}}.u-button{align-items:center;background-color:transparent;background-image:none;border:1px solid #069;border-radius:2px;color:#069;cursor:pointer;display:inline-flex;font-family:sans-serif;font-size:1rem;justify-content:center;line-height:1.3;margin:0;padding:8px;position:relative;text-decoration:none;transition:all .25s ease 0s,color .25s ease 0s,border-color .25s ease 0s;width:auto}.u-button--primary{background-color:#069;background-image:none;border:1px solid #069;color:#fff}.u-button--full-width{display:flex;width:100%}.u-display-none{display:none}.js .u-js-hide,.u-hide{display:none;visibility:hidden}.u-hide:first-child+*{margin-block-start:0}.u-visually-hidden{clip:rect(0,0,0,0);border:0;height:1px;margin:-100%;overflow:hidden;padding:0;position:absolute!important;width:1px}@media print{.u-hide-print{display:none}}@media only screen and (min-width:1024px){.u-hide-at-lg{display:none;visibility:hidden}.u-hide-at-lg:first-child+*{margin-block-start:0}}.u-clearfix:after,.u-clearfix:before{content:"";display:table}.u-clearfix:after{clear:both}.u-color-open-access{color:#b74616}.u-float-left{float:left}.u-icon{fill:currentcolor;display:inline-block;height:1em;transform:translate(0);vertical-align:text-top;width:1em}.u-full-height{height:100%}.u-list-reset{list-style:none;margin:0;padding:0}.u-sans-serif{font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif}.u-container{margin:0 auto;max-width:1280px;padding:0 16px}.u-justify-content-space-between{justify-content:space-between}.u-mt-32{margin-top:32px}.u-mb-8{margin-bottom:8px}.u-mb-16{margin-bottom:16px}.u-mb-24{margin-bottom:24px}.u-mb-32{margin-bottom:32px}.c-nature-box svg+.c-article__button-text,.u-ml-8{margin-left:8px}.u-pa-16{padding:16px}html *,html :after,html :before{box-sizing:inherit}.c-article-section__title,.c-article-title{font-weight:700}.c-card__title{line-height:1.4em}.c-article__button{background-color:#069;border:1px solid #069;border-radius:2px;color:#fff;display:flex;font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Oxygen-Sans,Ubuntu,Cantarell,Helvetica Neue,sans-serif;font-size:.875rem;line-height:1.4;margin-bottom:16px;padding:13px;transition:background-color .2s ease-out 0s,color .2s ease-out 0s}.c-article__button,.c-article__button:hover{text-decoration:none}.c-article__button--inverted,.c-article__button:hover{background-color:#fff;color:#069}.c-article__button--inverted:hover{background-color:#069;color:#fff}.c-header__link{text-decoration:inherit}.grade-c-hide{display:block}.u-lazy-ad-wrapper{background-color:#ccc;display:none;min-height:137px}@media only screen and (min-width:768px){.u-lazy-ad-wrapper{display:block}}.c-nature-box{background-color:#fff;border:1px solid #d5d5d5;border-radius:2px;box-shadow:0 0 5px 0 rgba(51,51,51,.1);line-height:1.3;margin-bottom:24px;padding:16px 16px 3px}.c-nature-box__text{font-size:1rem;margin-bottom:16px}.c-nature-box .c-pdf-download{margin-bottom:16px!important}.c-nature-box--version{background-color:#eee}.c-nature-box__wrapper{transform:translateZ(0)}.c-nature-box__wrapper--placeholder{min-height:165px}.c-pdf-download__link{padding:13px 24px} } </style> <link data-test="critical-css-handler" data-inline-css-source="critical-css" rel="stylesheet" href="/static/css/enhanced-article-nature-branded-d54f9178e8.css" media="print" onload="this.media='only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark)';this.onload=null"> <noscript> <link rel="stylesheet" type="text/css" href="/static/css/enhanced-article-nature-branded-d54f9178e8.css" media="only print, only all and (prefers-color-scheme: no-preference), only all and (prefers-color-scheme: light), only all and (prefers-color-scheme: dark)"> </noscript> <link rel="stylesheet" type="text/css" href="/static/css/article-print-122346e276.css" media="print"> <link rel="apple-touch-icon" sizes="180x180" href=/static/images/favicons/nature/apple-touch-icon-f39cb19454.png> <link rel="icon" type="image/png" sizes="48x48" href=/static/images/favicons/nature/favicon-48x48-b52890008c.png> <link rel="icon" type="image/png" sizes="32x32" href=/static/images/favicons/nature/favicon-32x32-3fe59ece92.png> <link rel="icon" type="image/png" sizes="16x16" href=/static/images/favicons/nature/favicon-16x16-951651ab72.png> <link rel="manifest" href=/static/manifest.json crossorigin="use-credentials"> <link rel="mask-icon" href=/static/images/favicons/nature/safari-pinned-tab-69bff48fe6.svg color="#000000"> <link rel="shortcut icon" href=/static/images/favicons/nature/favicon.ico> <meta name="msapplication-TileColor" content="#000000"> <meta name="msapplication-config" content=/static/browserconfig.xml> <meta name="theme-color" content="#000000"> <meta name="application-name" content="Nature"> <script> (function () { if ( typeof window.CustomEvent === "function" ) return false; function CustomEvent ( event, params ) { params = params || { bubbles: false, cancelable: false, detail: null }; var evt = document.createEvent( 'CustomEvent' ); evt.initCustomEvent( event, params.bubbles, params.cancelable, params.detail ); return evt; } CustomEvent.prototype = window.Event.prototype; window.CustomEvent = CustomEvent; })(); </script> <!-- Google Tag Manager --> <script data-test="gtm-head"> window.initGTM = function() { if (window.config.mustardcut) { (function (w, d, s, l, i) { w[l] = w[l] || []; w[l].push({'gtm.start': new Date().getTime(), event: 'gtm.js'}); var f = d.getElementsByTagName(s)[0], j = d.createElement(s), dl = l != 'dataLayer' ? '&l=' + l : ''; j.async = true; j.src = 'https://www.googletagmanager.com/gtm.js?id=' + i + dl; f.parentNode.insertBefore(j, f); })(window, document, 'script', 'dataLayer', 'GTM-MRVXSHQ'); } } </script> <!-- End Google Tag Manager --> <script> (function(w,d,t) { function cc() { var h = w.location.hostname; if (h.indexOf('preview-www.nature.com') > -1) return; var e = d.createElement(t), s = d.getElementsByTagName(t)[0]; if (h.indexOf('nature.com') > -1) { if (h.indexOf('test-www.nature.com') > -1) { e.src = 'https://cmp.nature.com/production_live/en/consent-bundle-8-74.js'; e.setAttribute('onload', "initGTM(window,document,'script','dataLayer','GTM-MRVXSHQ')"); } else { e.src = 'https://cmp.nature.com/production_live/en/consent-bundle-8-74.js'; e.setAttribute('onload', "initGTM(window,document,'script','dataLayer','GTM-MRVXSHQ')"); } } else { e.src = '/static/js/cookie-consent-es5-bundle-cb57c2c98a.js'; e.setAttribute('data-consent', h); } s.insertAdjacentElement('afterend', e); } cc(); })(window,document,'script'); </script> <script id="js-position0"> (function(w, d) { w.idpVerifyPrefix = 'https://verify.nature.com'; w.ra21Host = 'https://wayf.springernature.com'; var moduleSupport = (function() { return 'noModule' in d.createElement('script'); })(); if (w.config.mustardcut === true) { w.loader = { index: 0, registered: [], scripts: [ {src: '/static/js/global-article-es6-bundle-c8a573ca90.js', test: 'global-article-js', module: true}, {src: '/static/js/global-article-es5-bundle-d17603b9e9.js', test: 'global-article-js', nomodule: true}, {src: '/static/js/shared-es6-bundle-606cb67187.js', test: 'shared-js', module: true}, {src: '/static/js/shared-es5-bundle-e919764a53.js', test: 'shared-js', nomodule: true}, {src: '/static/js/header-150-es6-bundle-5bb959eaa1.js', test: 'header-150-js', module: true}, {src: '/static/js/header-150-es5-bundle-994fde5b1d.js', test: 'header-150-js', nomodule: true} ].filter(function (s) { if (s.src === null) return false; if (moduleSupport && s.nomodule) return false; return !(!moduleSupport && s.module); }), register: function (value) { this.registered.push(value); }, ready: function () { if (this.registered.length === this.scripts.length) { this.registered.forEach(function (fn) { if (typeof fn === 'function') { setTimeout(fn, 0); } }); this.ready = function () {}; } }, insert: function (s) { var t = d.getElementById('js-position' + this.index); if (t && t.insertAdjacentElement) { t.insertAdjacentElement('afterend', s); } else { d.head.appendChild(s); } ++this.index; }, createScript: function (script, beforeLoad) { var s = d.createElement('script'); s.id = 'js-position' + (this.index + 1); s.setAttribute('data-test', script.test); if (beforeLoad) { s.defer = 'defer'; s.onload = function () { if (script.noinit) { loader.register(true); } if (d.readyState === 'interactive' || d.readyState === 'complete') { loader.ready(); } }; } else { s.async = 'async'; } s.src = script.src; return s; }, init: function () { this.scripts.forEach(function (s) { loader.insert(loader.createScript(s, true)); }); d.addEventListener('DOMContentLoaded', function () { loader.ready(); var conditionalScripts; conditionalScripts = [ {match: 'div[data-pan-container]', src: '/static/js/pan-zoom-es6-bundle-464a2af269.js', test: 'pan-zoom-js', module: true }, {match: 'div[data-pan-container]', src: '/static/js/pan-zoom-es5-bundle-98fb9b653b.js', test: 'pan-zoom-js', nomodule: true }, {match: 'math,span.mathjax-tex', src: '/static/js/math-es6-bundle-23597ae350.js', test: 'math-js', module: true}, {match: 'math,span.mathjax-tex', src: '/static/js/math-es5-bundle-6532c6f78b.js', test: 'math-js', nomodule: true} ]; if (conditionalScripts) { conditionalScripts.filter(function (script) { return !!document.querySelector(script.match) && !((moduleSupport && script.nomodule) || (!moduleSupport && script.module)); }).forEach(function (script) { loader.insert(loader.createScript(script)); }); } }, false); } }; loader.init(); } })(window, document); </script> <meta name="robots" content="noarchive"> <meta name="access" content="No"> <link rel="search" href="https://www.nature.com/search"> <link rel="search" href="https://www.nature.com/opensearch/opensearch.xml" type="application/opensearchdescription+xml" title="nature.com"> <link rel="search" href="https://www.nature.com/opensearch/request" type="application/sru+xml" title="nature.com"> <script type="application/ld+json">{"mainEntity":{"headline":"Flat optics with designer metasurfaces","description":"Metamaterials are artificially fabricated materials that allow for the control of light and acoustic waves in a manner that is not possible in nature. This Review covers the recent developments in the study of so-called metasurfaces, which offer the possibility of controlling light with ultrathin, planar optical components. Conventional optical components such as lenses, waveplates and holograms rely on light propagation over distances much larger than the wavelength to shape wavefronts. In this way substantial changes of the amplitude, phase or polarization of light waves are gradually accumulated along the optical path. This Review focuses on recent developments on flat, ultrathin optical components dubbed 'metasurfaces' that produce abrupt changes over the scale of the free-space wavelength in the phase, amplitude and/or polarization of a light beam. Metasurfaces are generally created by assembling arrays of miniature, anisotropic light scatterers (that is, resonators such as optical antennas). The spacing between antennas and their dimensions are much smaller than the wavelength. As a result the metasurfaces, on account of Huygens principle, are able to mould optical wavefronts into arbitrary shapes with subwavelength resolution by introducing spatial variations in the optical response of the light scatterers. Such gradient metasurfaces go beyond the well-established technology of frequency selective surfaces made of periodic structures and are extending to new spectral regions the functionalities of conventional microwave and millimetre-wave transmit-arrays and reflect-arrays. Metasurfaces can also be created by using ultrathin films of materials with large optical losses. By using the controllable abrupt phase shifts associated with reflection or transmission of light waves at the interface between lossy materials, such metasurfaces operate like optically thin cavities that strongly modify the light spectrum. Technology opportunities in various spectral regions and their potential advantages in replacing existing optical components are discussed.","datePublished":"2014-01-23T00:00:00Z","dateModified":"2014-01-23T00:00:00Z","pageStart":"139","pageEnd":"150","sameAs":"https://doi.org/10.1038/nmat3839","keywords":["Metamaterials","Materials Science","general","Optical and Electronic Materials","Biomaterials","Nanotechnology","Condensed Matter Physics"],"image":["https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig1_HTML.jpg","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig2_HTML.jpg","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig3_HTML.jpg","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig4_HTML.jpg","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig5_HTML.jpg","https://media.springernature.com/lw1200/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig6_HTML.jpg"],"isPartOf":{"name":"Nature Materials","issn":["1476-4660","1476-1122"],"volumeNumber":"13","@type":["Periodical","PublicationVolume"]},"publisher":{"name":"Nature Publishing Group UK","logo":{"url":"https://www.springernature.com/app-sn/public/images/logo-springernature.png","@type":"ImageObject"},"@type":"Organization"},"author":[{"name":"Nanfang Yu","affiliation":[{"name":"Columbia University","address":{"name":"Department of Applied Physics and Applied Mathematics, Columbia University, New York, USA","@type":"PostalAddress"},"@type":"Organization"}],"email":"ny2214@columbia.edu","@type":"Person"},{"name":"Federico Capasso","affiliation":[{"name":"School of Engineering and Applied Sciences, Harvard University","address":{"name":"School of Engineering and Applied Sciences, Harvard University, Cambridge, USA","@type":"PostalAddress"},"@type":"Organization"}],"email":"capasso@seas.harvard.edu","@type":"Person"}],"isAccessibleForFree":false,"hasPart":{"isAccessibleForFree":false,"cssSelector":".main-content","@type":"WebPageElement"},"@type":"ScholarlyArticle"},"@context":"https://schema.org","@type":"WebPage"}</script> <link rel="canonical" href="https://www.nature.com/articles/nmat3839"> <meta name="journal_id" content="41563"/> <meta name="dc.title" content="Flat optics with designer metasurfaces"/> <meta name="dc.source" content="Nature Materials 2014 13:2"/> <meta name="dc.format" content="text/html"/> <meta name="dc.publisher" content="Nature Publishing Group"/> <meta name="dc.date" content="2014-01-23"/> <meta name="dc.type" content="ReviewPaper"/> <meta name="dc.language" content="En"/> <meta name="dc.copyright" content="2014 Springer Nature Limited"/> <meta name="dc.rights" content="2014 Springer Nature Limited"/> <meta name="dc.rightsAgent" content="journalpermissions@springernature.com"/> <meta name="dc.description" content="Metamaterials are artificially fabricated materials that allow for the control of light and acoustic waves in a manner that is not possible in nature. This Review covers the recent developments in the study of so-called metasurfaces, which offer the possibility of controlling light with ultrathin, planar optical components. Conventional optical components such as lenses, waveplates and holograms rely on light propagation over distances much larger than the wavelength to shape wavefronts. In this way substantial changes of the amplitude, phase or polarization of light waves are gradually accumulated along the optical path. This Review focuses on recent developments on flat, ultrathin optical components dubbed 'metasurfaces' that produce abrupt changes over the scale of the free-space wavelength in the phase, amplitude and/or polarization of a light beam. Metasurfaces are generally created by assembling arrays of miniature, anisotropic light scatterers (that is, resonators such as optical antennas). The spacing between antennas and their dimensions are much smaller than the wavelength. As a result the metasurfaces, on account of Huygens principle, are able to mould optical wavefronts into arbitrary shapes with subwavelength resolution by introducing spatial variations in the optical response of the light scatterers. Such gradient metasurfaces go beyond the well-established technology of frequency selective surfaces made of periodic structures and are extending to new spectral regions the functionalities of conventional microwave and millimetre-wave transmit-arrays and reflect-arrays. Metasurfaces can also be created by using ultrathin films of materials with large optical losses. By using the controllable abrupt phase shifts associated with reflection or transmission of light waves at the interface between lossy materials, such metasurfaces operate like optically thin cavities that strongly modify the light spectrum. Technology opportunities in various spectral regions and their potential advantages in replacing existing optical components are discussed."/> <meta name="prism.issn" content="1476-4660"/> <meta name="prism.publicationName" content="Nature Materials"/> <meta name="prism.publicationDate" content="2014-01-23"/> <meta name="prism.volume" content="13"/> <meta name="prism.number" content="2"/> <meta name="prism.section" content="ReviewPaper"/> <meta name="prism.startingPage" content="139"/> <meta name="prism.endingPage" content="150"/> <meta name="prism.copyright" content="2014 Springer Nature Limited"/> <meta name="prism.rightsAgent" content="journalpermissions@springernature.com"/> <meta name="prism.url" content="https://www.nature.com/articles/nmat3839"/> <meta name="prism.doi" content="doi:10.1038/nmat3839"/> <meta name="citation_pdf_url" content="https://www.nature.com/articles/nmat3839.pdf"/> <meta name="citation_fulltext_html_url" content="https://www.nature.com/articles/nmat3839"/> <meta name="citation_journal_title" content="Nature Materials"/> <meta name="citation_journal_abbrev" content="Nature Mater"/> <meta name="citation_publisher" content="Nature Publishing Group"/> <meta name="citation_issn" content="1476-4660"/> <meta name="citation_title" content="Flat optics with designer metasurfaces"/> <meta name="citation_volume" content="13"/> <meta name="citation_issue" content="2"/> <meta name="citation_publication_date" content="2014/02"/> <meta name="citation_online_date" content="2014/01/23"/> <meta name="citation_firstpage" content="139"/> <meta name="citation_lastpage" content="150"/> <meta name="citation_article_type" content="Article"/> <meta name="citation_language" content="en"/> <meta name="dc.identifier" content="doi:10.1038/nmat3839"/> <meta name="DOI" content="10.1038/nmat3839"/> <meta name="size" content="228754"/> <meta name="citation_doi" content="10.1038/nmat3839"/> <meta name="citation_springer_api_url" content="http://api.springer.com/xmldata/jats?q=doi:10.1038/nmat3839&api_key="/> <meta name="description" content="Metamaterials are artificially fabricated materials that allow for the control of light and acoustic waves in a manner that is not possible in nature. This Review covers the recent developments in the study of so-called metasurfaces, which offer the possibility of controlling light with ultrathin, planar optical components. Conventional optical components such as lenses, waveplates and holograms rely on light propagation over distances much larger than the wavelength to shape wavefronts. In this way substantial changes of the amplitude, phase or polarization of light waves are gradually accumulated along the optical path. This Review focuses on recent developments on flat, ultrathin optical components dubbed 'metasurfaces' that produce abrupt changes over the scale of the free-space wavelength in the phase, amplitude and/or polarization of a light beam. Metasurfaces are generally created by assembling arrays of miniature, anisotropic light scatterers (that is, resonators such as optical antennas). The spacing between antennas and their dimensions are much smaller than the wavelength. As a result the metasurfaces, on account of Huygens principle, are able to mould optical wavefronts into arbitrary shapes with subwavelength resolution by introducing spatial variations in the optical response of the light scatterers. Such gradient metasurfaces go beyond the well-established technology of frequency selective surfaces made of periodic structures and are extending to new spectral regions the functionalities of conventional microwave and millimetre-wave transmit-arrays and reflect-arrays. Metasurfaces can also be created by using ultrathin films of materials with large optical losses. By using the controllable abrupt phase shifts associated with reflection or transmission of light waves at the interface between lossy materials, such metasurfaces operate like optically thin cavities that strongly modify the light spectrum. Technology opportunities in various spectral regions and their potential advantages in replacing existing optical components are discussed."/> <meta name="dc.creator" content="Yu, Nanfang"/> <meta name="dc.creator" content="Capasso, Federico"/> <meta name="dc.subject" content="Metamaterials"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Controlling electromagnetic fields; citation_author=JB Pendry, D Schurig, DR Smith; citation_volume=312; citation_publication_date=2006; citation_pages=1780-1782; citation_doi=10.1126/science.1125907; citation_id=CR1"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Optical conformal mapping; citation_author=U Leonhardt; citation_volume=312; citation_publication_date=2006; citation_pages=1777-1780; citation_id=CR2"/> <meta name="citation_reference" content="citation_title=Optical Metamaterials: Fundamentals and Applications; citation_publication_date=2009; citation_id=CR3; citation_author=W Cai; citation_author=V Shalaev"/> <meta name="citation_reference" content="citation_title=Metamaterials: Physics and Engineering Explorations; citation_publication_date=2006; citation_id=CR4; citation_author=N Engheta; citation_author=RW Ziolkowski"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Experimental verification of a negative index of refraction; citation_author=RA Shelby, DR Smith, S Shultz; citation_volume=292; citation_publication_date=2001; citation_pages=77-79; citation_id=CR5"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Sub-diffraction-limited optical imaging with a silver superlens; citation_author=N Fang, H Lee, C Sun, X Zhang; citation_volume=308; citation_publication_date=2005; citation_pages=534-537; citation_id=CR6"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Metamaterial electromagnetic cloak at microwave frequencies; citation_author=D Schurig; citation_volume=314; citation_publication_date=2006; citation_pages=977-980; citation_id=CR7"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Light propagation with phase discontinuities: Generalized laws of reflection and refraction; citation_author=N Yu; citation_volume=334; citation_publication_date=2011; citation_pages=333-337; citation_id=CR8"/> <meta name="citation_reference" content="citation_journal_title=IEEE Antennas Propagat. Mag.; citation_title=An overview of the theory and applications of metasurfaces: The two dimensional equivalents of metamaterials; citation_author=CL Holloway; citation_volume=54; citation_publication_date=2012; citation_pages=10-35; citation_id=CR9"/> <meta name="citation_reference" content="citation_journal_title=Nature Mater.; citation_title=Nanometre optical coatings based on strong interference effects in highly absorbing media; citation_author=MA Kats, R Blanchard, G Patrice, F Capasso; citation_volume=12; citation_publication_date=2013; citation_pages=20-24; citation_id=CR10"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Planar photonics with metasurfaces; citation_author=AV Kildishev, A Boltasseva, VM Shalaev; citation_volume=339; citation_publication_date=2013; citation_pages=1232009; citation_id=CR11"/> <meta name="citation_reference" content="citation_journal_title=IEEE J. Sel. Top. Quant. Electron.; citation_title=Flat optics: Controlling wavefronts with optical antenna metasurfaces; citation_author=N Yu; citation_volume=19; citation_publication_date=2013; citation_pages=4700423; citation_id=CR12"/> <meta name="citation_reference" content="citation_journal_title=Adv. Opt. Photon.; citation_title=Optical antennas; citation_author=P Bharadwaj, B Deutsch, L Novotny; citation_volume=1; citation_publication_date=2009; citation_pages=438-483; citation_id=CR13"/> <meta name="citation_reference" content="citation_journal_title=Nature Photon.; citation_title=Antennas for light; citation_author=L Novotny, N van Hulst; citation_volume=5; citation_publication_date=2011; citation_pages=83-90; citation_id=CR14"/> <meta name="citation_reference" content="citation_journal_title=Appl. Phys. Lett.; citation_title=Layered chiral metallic microstructures with inductive coupling; citation_author=Y Svirko, N Zheludev, M Osipov; citation_volume=78; citation_publication_date=2001; citation_pages=498-500; citation_id=CR15"/> <meta name="citation_reference" content="citation_journal_title=Opt. Express; citation_title=Dielectric resonator nanoantennas at visible frequencies; citation_author=L Zou; citation_volume=21; citation_publication_date=2013; citation_pages=1344-1352; citation_id=CR16"/> <meta name="citation_reference" content="citation_journal_title=Adv Mater.; citation_title=Spatial and spectral light shaping with metamaterials; citation_author=B Walther; citation_volume=24; citation_publication_date=2012; citation_pages=6300-6304; citation_id=CR17"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Polarization-controlled tunable directional coupling of surface plasmon polaritons; citation_author=J Lin; citation_volume=340; citation_publication_date=2013; citation_pages=331-334; citation_id=CR18"/> <meta name="citation_reference" content="citation_title=Frequency Selective Surfaces: Theory and Design; citation_publication_date=2000; citation_id=CR19; citation_author=BA Munk"/> <meta name="citation_reference" content="citation_title=Frequency Selective Surface and Grid Array; citation_publication_date=1995; citation_id=CR20; citation_author=TK Wu"/> <meta name="citation_reference" content="citation_journal_title=IEEE Trans. Antenna Propag.; citation_title=Design of millimeter wave microstrip reflectarrays; citation_author=DM Pozar, SD Targonski, HD Syrigos; citation_volume=45; citation_publication_date=1997; citation_pages=287-295; citation_id=CR21"/> <meta name="citation_reference" content="citation_journal_title=IEEE Antennas Propag. Mag.; citation_title=Research and development on phase-shifting surfaces; citation_author=N Gagnon, A Petosa, DA McNamara; citation_volume=55; citation_publication_date=2013; citation_pages=29-48; citation_id=CR22"/> <meta name="citation_reference" content="citation_journal_title=Appl. Phys. Lett.; citation_title=Ultra-thin perfect absorber employing a tunable phase change material; citation_author=MA Kats; citation_volume=101; citation_publication_date=2012; citation_pages=221101; citation_doi=10.1063/1.4767646; citation_id=CR23"/> <meta name="citation_reference" content="citation_title=Optics; citation_publication_date=2001; citation_id=CR24; citation_author=E Hecht"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=Super-resolution without evanescent waves; citation_author=FM Huang, NI Zheludev; citation_volume=9; citation_publication_date=2009; citation_pages=1249-1254; citation_id=CR25"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=Near-field polarization shaping by a near-resonant plasmonic cross antenna; citation_author=P Biagioni; citation_volume=80; citation_publication_date=2009; citation_pages=153409; citation_id=CR26"/> <meta name="citation_reference" content="citation_journal_title=Sci. Rep.; citation_title=Tailoring dispersion for broadband low-loss optical metamaterials using deep-subwavelength inclusions; citation_author=ZH Jiang; citation_volume=3; citation_publication_date=2013; citation_pages=1571; citation_id=CR27"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=& Alù, A. Full control of nanoscale optical transmission with a composite metascreen; citation_author=F Monticone, NM Estakhri; citation_volume=110; citation_publication_date=2013; citation_pages=203903; citation_id=CR28"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Metamaterial Huygens' surfaces: Tailoring wave fronts with reflectionless sheets; citation_author=C Pfeiffer, A Grbic; citation_volume=110; citation_publication_date=2013; citation_pages=197401; citation_id=CR29"/> <meta name="citation_reference" content="citation_title=Plasmonics: Fundamentals and Applications; citation_publication_date=2007; citation_id=CR30; citation_author=SA Maier"/> <meta name="citation_reference" content="citation_title=The Feynman Lectures on Physics; citation_publication_date=1970; citation_id=CR31; citation_author=RP Feynman; citation_author=RB Leighton; citation_author=M Sands"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=Out-of-plane reflection and refraction of light by anisotropic optical antenna metasurfaces with phase discontinuities; citation_author=F Aieta; citation_volume=12; citation_publication_date=2012; citation_pages=1702-1706; citation_id=CR32"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Broadband light bending with plasmonic nanoantennas; citation_author=X Ni, NK Emani, AV Kildishev, A Boltasseva, VM Shalaev; citation_volume=335; citation_publication_date=2012; citation_pages=427; citation_id=CR33"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=A broadband, background-free quarter-wave plate based on plasmonic metasurfaces; citation_author=N Yu; citation_volume=12; citation_publication_date=2012; citation_pages=6328-6333; citation_id=CR34"/> <meta name="citation_reference" content="citation_journal_title=Proc. Natl Acad. Sci. USA; citation_title=Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy; citation_author=MA Kats; citation_volume=109; citation_publication_date=2012; citation_pages=12364-12368; citation_id=CR35"/> <meta name="citation_reference" content="citation_journal_title=Opt. Lett.; citation_title=Reconciliation of generalized refraction with diffraction theory; citation_author=S Larouche, DR Smith; citation_volume=37; citation_publication_date=2012; citation_pages=2391-2393; citation_id=CR36"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=High-efficiency broadband anomalous reflection by gradient meta-surfaces; citation_author=S Sun; citation_volume=12; citation_publication_date=2012; citation_pages=6223-6229; citation_id=CR37"/> <meta name="citation_reference" content="citation_journal_title=Nature Mater.; citation_title=Gradient-index meta-surfaces as a bridge linking propagating waves and surface waves; citation_author=S Sun; citation_volume=11; citation_publication_date=2012; citation_pages=426-431; citation_id=CR38"/> <meta name="citation_reference" content="citation_journal_title=Opt. Lett.; citation_title=Birefringent reflectarray metasurface for beam engineering in infrared; citation_author=M Farmahini-Farahani, H Mosallaei; citation_volume=38; citation_publication_date=2013; citation_pages=462-464; citation_id=CR39"/> <meta name="citation_reference" content="citation_journal_title=IEEE Trans. Microwave Theory Tech.; citation_title=Phased arrays - part 1: Theory and architectures; citation_author=D Parker, DC Zimmermann; citation_volume=50; citation_publication_date=2002; citation_pages=678-687; citation_id=CR40"/> <meta name="citation_reference" content="citation_journal_title=IEEE Trans. Microwave Theory Tech.; citation_title=Phased arrays-part II: Implementations, applications, and future trends; citation_author=D Parker, DC Zimmermann; citation_volume=50; citation_publication_date=2002; citation_pages=688-698; citation_id=CR41"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces; citation_author=F Aieta; citation_volume=12; citation_publication_date=2012; citation_pages=4932-4936; citation_id=CR42"/> <meta name="citation_reference" content="citation_journal_title=Light: Sci. Appl.; citation_title=Ultra-thin, planar, Babinet-inverted plasmonic metalenses; citation_author=X Ni, S Ishii, AV Kildishev, VM Shalaev; citation_volume=2; citation_publication_date=2013; citation_pages=e27; citation_id=CR43"/> <meta name="citation_reference" content="citation_journal_title=Opt. Lett.; citation_title=Array of planar plasmonic scatterers functioning as light concentrator; citation_author=B Memarzadeh, H Mosallaei; citation_volume=36; citation_publication_date=2011; citation_pages=2569-2571; citation_id=CR44"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=Broadband focusing flat mirrors based on plasmonic gradient metasurfaces; citation_author=A Pors, MG Nielsen, RL Eriksen, SI Bozhevolnyi; citation_volume=13; citation_publication_date=2013; citation_pages=829-834; citation_id=CR45"/> <meta name="citation_reference" content="citation_journal_title=Appl. Phys. Lett.; citation_title=Ultra-thin plasmonic optical vortex plate based on phase discontinuities; citation_author=P Genevet; citation_volume=100; citation_publication_date=2012; citation_pages=013101; citation_id=CR46"/> <meta name="citation_reference" content="citation_journal_title=Proc. R. Soc. Lond. A; citation_title=Dislocations in wave trains; citation_author=JF Nye, MV Berry; citation_volume=336; citation_publication_date=1974; citation_pages=165-190; citation_id=CR47"/> <meta name="citation_reference" content="citation_journal_title=Phys. Today; citation_title=Light's orbital angular momentum; citation_author=M Padgett, J Courtial, L Allen; citation_volume=57; citation_publication_date=2004; citation_pages=35-40; citation_id=CR48"/> <meta name="citation_reference" content="citation_journal_title=J. Appl. Phys.; citation_title=Aperiodic arrays of active nanopillars for radiation engineering; citation_author=N Lawrence, J Trevino, L Dal Negro; citation_volume=111; citation_publication_date=2012; citation_pages=113101; citation_id=CR49"/> <meta name="citation_reference" content="citation_journal_title=Proc. Indian Acad. Sci. Sect. A; citation_title=Generalized theory of interference, and its applications. Part I. Coherent pencils; citation_author=S Pancharatnam; citation_volume=44; citation_publication_date=1956; citation_pages=247-262; citation_id=CR50"/> <meta name="citation_reference" content="citation_journal_title=Proc. R. Soc. London A; citation_title=Quantal phase factors accompanying adiabatic changes; citation_author=MV Berry; citation_volume=392; citation_publication_date=1984; citation_pages=45-57; citation_id=CR51"/> <meta name="citation_reference" content="citation_journal_title=J. Opt. Soc. Am. B; citation_title=Twisted vector field from an inhomogeneous and anisotropic metamaterial; citation_author=M Kang, J Chen, X-L Wang, H-T Wang; citation_volume=29; citation_publication_date=2012; citation_pages=572-576; citation_id=CR52"/> <meta name="citation_reference" content="citation_title=Optical Electronics in Modern Communications; citation_publication_date=1997; citation_id=CR53; citation_author=A Yariv"/> <meta name="citation_reference" content="citation_journal_title=Opt. Express; citation_title=Wave front engineering from an array of thin aperture antennas; citation_author=M Kang, T Feng, H-T Wang, J Li; citation_volume=14; citation_publication_date=2012; citation_pages=15882-15890; citation_id=CR54"/> <meta name="citation_reference" content="citation_journal_title=Nature Commun.; citation_title=Dual-polarity plasmonic metalens for visible light; citation_author=X Chen; citation_volume=3; citation_publication_date=2012; citation_pages=1198; citation_id=CR55"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=Dispersionless phase discontinuities for controlling light propagation; citation_author=L Huang; citation_volume=12; citation_publication_date=2012; citation_pages=5750-5755; citation_id=CR56"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=Optical spin Hall effects in plasmonic chains; citation_author=N Shitrit, I Bretner, Y Gorodetski, V Kleiner, E Hasman; citation_volume=11; citation_publication_date=2011; citation_pages=2038-2042; citation_id=CR57"/> <meta name="citation_reference" content="citation_journal_title=Opt. Comm.; citation_title=The surface plasmon resonance effect in holography; citation_author=JJ Cowan; citation_volume=5; citation_publication_date=1972; citation_pages=69-72; citation_id=CR58"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Surface-plasmon holography with white-light illumination; citation_author=M Ozaki, J-I Kato, S Kawata; citation_volume=332; citation_publication_date=2011; citation_pages=218-220; citation_id=CR59"/> <meta name="citation_reference" content="citation_journal_title=New J. Phys.; citation_title=Dipolar modeling and experimental demonstration of multi-beam plasmonic collimators; citation_author=J-P Tetienne; citation_volume=13; citation_publication_date=2011; citation_pages=053057; citation_id=CR60"/> <meta name="citation_reference" content="citation_journal_title=Nature Commun.; citation_title=Holographic detection of the orbital angular momentum of light with plasmonic photodiodes; citation_author=P Genevet, J Lin, MA Kats, F Capasso; citation_volume=3; citation_publication_date=2012; citation_pages=1278; citation_id=CR61"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Surface-plasmon holographic beam shaping; citation_author=I Dolev, I Epstein, A Arie; citation_volume=109; citation_publication_date=2012; citation_pages=203903; citation_id=CR62"/> <meta name="citation_reference" content="citation_journal_title=IEEE Trans. Antenna Propag.; citation_title=Scalar and tensor holographic artificial impedance surfaces; citation_author=BH Fong, JS Colburn, JJ Ottusch, JL Visher, DF Sievenpiper; citation_volume=58; citation_publication_date=2010; citation_pages=3212-3221; citation_id=CR63"/> <meta name="citation_reference" content="citation_journal_title=IEEE Trans. Antenna Propag.; citation_title=Spiral leaky-wave antennas based on modulated surface impedance; citation_author=G Minatti, F Caminita, M Casaletti, S Maci; citation_volume=59; citation_publication_date=2011; citation_pages=4436-4444; citation_id=CR64"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging; citation_author=MM Qazilbash; citation_volume=318; citation_publication_date=2007; citation_pages=1750-1753; citation_id=CR65"/> <meta name="citation_reference" content="citation_journal_title=Opt. Express; citation_title=Strong absorption and selective emission from engineered metals with dielectric coatings; citation_author=W Streyer, S Law, G Rooney, T Jacobs, D Wasserman; citation_volume=21; citation_publication_date=2013; citation_pages=9113-9122; citation_id=CR66"/> <meta name="citation_reference" content="citation_journal_title=Nature Mater.; citation_title=Resonant light trapping in ultrathin films for water splitting; citation_author=H Dotan; citation_volume=12; citation_publication_date=2013; citation_pages=158-164; citation_id=CR67"/> <meta name="citation_reference" content="citation_journal_title=Opt. Lett.; citation_title=Photonic device fabrication in glass by use of nonlinear materials processing with a femtosecond laser oscillator; citation_author=K Minoshima, AM Kowalevicz, I Hartl, EP Ippen, JG Fujimoto; citation_volume=26; citation_publication_date=2001; citation_pages=1516-1518; citation_id=CR68"/> <meta name="citation_reference" content="citation_journal_title=Chem. Mater.; citation_title=Inkjet printing for materials and devices; citation_author=P Calvert; citation_volume=13; citation_publication_date=2001; citation_pages=3299-3305; citation_id=CR69"/> <meta name="citation_reference" content="citation_journal_title=Opt. Mater.; citation_title=New wafer-scale fabrication method for stacked optical waveguide interconnects and 3D micro-optic structures using photoresponsive (inorganic–organic hybrid) polymers; citation_author=U Streppel; citation_volume=21; citation_publication_date=2002; citation_pages=475-483; citation_id=CR70"/> <meta name="citation_reference" content="citation_journal_title=Appl. Phys. Lett.; citation_title=Three-dimensional face-centered-cubic photonic crystal templates by laser holography: fabrication, optical characterization, and band-structure calculations; citation_author=YV Miklyaev; citation_volume=82; citation_publication_date=2003; citation_pages=1284-1286; citation_id=CR71"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Gold helix photonic metamaterial as broadband circular polarizer; citation_author=JK Gansel; citation_volume=325; citation_publication_date=2009; citation_pages=1513-1515; citation_id=CR72"/> <meta name="citation_reference" content="citation_title=Digital Diffractive Optics: An Introduction to Planar Diffractive Optics and Related Technology; citation_publication_date=2000; citation_id=CR73; citation_author=BC Kress; citation_author=P Meyrueis"/> <meta name="citation_reference" content="citation_journal_title=Proc. Natl Acad. Sci. USA; citation_title=Switchable electro-optic diffractive lens with high efficiency for ophthalmic applications; citation_author=G Li; citation_volume=103; citation_publication_date=2006; citation_pages=6100-6104; citation_id=CR74"/> <meta name="citation_reference" content="citation_journal_title=Appl. Opt.; citation_title=Coherent laser addition using binary phase gratings; citation_author=JR Leger, GJ Swanson, WB Veldkamp; citation_volume=26; citation_publication_date=1987; citation_pages=4391-4399; citation_id=CR75"/> <meta name="citation_reference" content="citation_journal_title=IEEE J. Sel. Top. Quantum Electron.; citation_title=Microelectromechanical deformable mirrors; citation_author=TG Bifano, J Perreault, RK Mali, MN Horenstein; citation_volume=5; citation_publication_date=1999; citation_pages=83-89; citation_id=CR76"/> <meta name="citation_reference" content="citation_journal_title=J. Lightwave Technol.; citation_title=Optical MEMS for lightwave communication; citation_author=MC Wu, O Solgaard, JE Ford; citation_volume=24; citation_publication_date=2006; citation_pages=4433-4454; citation_id=CR77"/> <meta name="citation_reference" content="citation_journal_title=J. Micro-Nanolithogr. MEMS MOEMS; citation_title=Design, fabrication, and characterization of a full complex-amplitude modulation diffractive optical element; citation_author=LG Neto, PSP Cardona, GA Cirino, RD Mansano, P Verdonck; citation_volume=2; citation_publication_date=2003; citation_pages=96-104; citation_id=CR78"/> <meta name="citation_reference" content="citation_journal_title=Proc. SPIE; citation_title=E-beam lithography — an efficient tool for the fabrication of diffractive and microoptical elements; citation_author=E-B Kley, B Schnabel, UD Zeitner; citation_volume=3008; citation_publication_date=1997; citation_pages=222-232; citation_id=CR79"/> <meta name="citation_reference" content="citation_journal_title=Proc. SPIE; citation_title=Pulsed laser ablation for volume micro-optical arrays on large area substrates; citation_author=JEA Pedder, AS Holmes, R Allott, K Boehlen; citation_volume=6462; citation_publication_date=2007; citation_pages=64620W-1-64620W-7; citation_id=CR80"/> <meta name="citation_reference" content="citation_journal_title=Proc. SPIE; citation_title=Fabrication of continuous-relief micro-optical elements by direct laser writing in photoresist; citation_author=MT Gale, M Rossi, H Schütz; citation_volume=2045; citation_publication_date=2005; citation_pages=54-62; citation_id=CR81"/> <meta name="citation_reference" content="citation_journal_title=Appl. Opt.; citation_title=Gray-scale masks for diffractive-optics fabrication: I. Commercial slide imagers; citation_author=TJ Suleski, DC O'Shea; citation_volume=34; citation_publication_date=1995; citation_pages=7507-7517; citation_id=CR82"/> <meta name="citation_reference" content="citation_journal_title=Appl. Opt.; citation_title=Gray-scale masks for diffractive-optics fabrication: II. Spatially filtered halftone screens; citation_author=DC O'Shea, WS Rockward; citation_volume=34; citation_publication_date=1995; citation_pages=7518-7526; citation_id=CR83"/> <meta name="citation_reference" content="citation_journal_title=Opt. Lett.; citation_title=Three-dimensional microfabrication with two-photon-absorbed photopolymerization; citation_author=S Maruo, O Nakamura, S Kawata; citation_volume=22; citation_publication_date=1997; citation_pages=132-134; citation_id=CR84"/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=Two-photon polymerization initiators for three-dimensional optical data storage and microfabrication; citation_author=BH Cumpston; citation_volume=398; citation_publication_date=1999; citation_pages=51-54; citation_id=CR85"/> <meta name="citation_reference" content="citation_journal_title=Appl. Phys. Lett.; citation_title=Fabrication of disconnected three dimensional silver nanostructures in a polymer matrix; citation_author=K Vora, S Kang, S Shukla, E Mazur; citation_volume=100; citation_publication_date=2012; citation_pages=063120; citation_id=CR86"/> <meta name="citation_reference" content="citation_journal_title=Appl. Opt.; citation_title=Graded-index Fresnel lenses for integrated optics; citation_author=T Suhara, K Kobayashi, H Nishihara, J Koyama; citation_volume=21; citation_publication_date=1982; citation_pages=1966-1971; citation_id=CR87"/> <meta name="citation_reference" content="citation_journal_title=Opt. Lett.; citation_title=Diffractive phase elements based on two-dimensional artificial dielectrics; citation_author=FT Chen, HG Craighead; citation_volume=20; citation_publication_date=1995; citation_pages=121-123; citation_id=CR88"/> <meta name="citation_reference" content="citation_journal_title=Opt. Lett.; citation_title=Binary subwavelength diffractive-lens design; citation_author=JN Mait, DW Prather, MS Mirotznik; citation_volume=23; citation_publication_date=1998; citation_pages=1343-1345; citation_id=CR89"/> <meta name="citation_reference" content="citation_journal_title=Nature Mater.; citation_title=An optical cloak made of dielectrics; citation_author=J Valentine, J Li, T Zentgraf, G Bartal, X Zhang; citation_volume=8; citation_publication_date=2009; citation_pages=568-571; citation_id=CR90"/> <meta name="citation_reference" content="citation_journal_title=Opt. Express; citation_title=Design of thin–film photonic metamaterial Lüneburg lens using analytical approach; citation_author=H Gao, B Zhang, SG Johnson, G Barbastathis; citation_volume=20; citation_publication_date=2012; citation_pages=1617-1628; citation_id=CR91"/> <meta name="citation_reference" content="citation_title=Micro-Optics: Elements, Systems and Applications; citation_publication_date=1997; citation_id=CR92; citation_author=HP Herzig"/> <meta name="citation_reference" content="citation_journal_title=ACS Nano; citation_title=A technique to transfer metallic nanoscale patterns to small and non-planar surfaces; citation_author=EJ Smythe, MD Dickey, GM Whitesides, F Capasso; citation_volume=3; citation_publication_date=2009; citation_pages=59-65; citation_id=CR93"/> <meta name="citation_reference" content="citation_journal_title=Appl. Phys. Lett.; citation_title=Strong absorption and selective thermal emission from a midinfrared metamaterial; citation_author=JA Mason, S Smith, D Wasserman; citation_volume=98; citation_publication_date=2011; citation_pages=241105; citation_id=CR94"/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=Active terahertz metamaterial devices; citation_author=H-T Chen; citation_volume=444; citation_publication_date=2006; citation_pages=597-600; citation_id=CR95"/> <meta name="citation_reference" content="citation_journal_title=Nature Nanotech.; citation_title=Graphene plasmonics for tunable terahertz metamaterials; citation_author=L Ju; citation_volume=6; citation_publication_date=2011; citation_pages=630-634; citation_id=CR96"/> <meta name="citation_reference" content="citation_journal_title=Science; citation_title=Transformation optics using graphene; citation_author=A Vakil, N Engheta; citation_volume=332; citation_publication_date=2011; citation_pages=1291-1294; citation_id=CR97"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. B; citation_title=Design of tunable biperiodic graphene metasurfaces; citation_author=A Fallahi, J Perruisseau-Carrier; citation_volume=86; citation_publication_date=2012; citation_pages=195408; citation_id=CR98"/> <meta name="citation_reference" content="citation_journal_title=Appl. Phys. Lett.; citation_title=Tunable graphene reflective cells for THz reflectarrays and generalized law of reflection; citation_author=E Carrasco, M Tamagnone, J Perruisseau-Carrier; citation_volume=102; citation_publication_date=2013; citation_pages=104103; citation_id=CR99"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=Broad electrical tuning of graphene-loaded plasmonic antennas; citation_author=Y Yao; citation_volume=13; citation_publication_date=2013; citation_pages=1257-1264; citation_id=CR100"/> <meta name="citation_reference" content="citation_journal_title=Appl. Phys. Lett.; citation_title=Modulation of mid-infrared light using graphene-metal plasmonic antennas; citation_author=Z Li, N Yu; citation_volume=102; citation_publication_date=2013; citation_pages=131108; citation_id=CR101"/> <meta name="citation_reference" content="citation_journal_title=ACS Nano; citation_title=Gated tunability and hybridization of localized plasmons in nanostructured graphene; citation_author=Z Fang; citation_volume=7; citation_publication_date=2013; citation_pages=2388-2395; citation_id=CR102"/> <meta name="citation_reference" content="citation_journal_title=Opt. Lett.; citation_title=Thermal tuning of mid-infrared plasmonic antenna arrays using a phase change material; citation_author=MA Kats; citation_volume=38; citation_publication_date=2013; citation_pages=368-370; citation_id=CR103"/> <meta name="citation_reference" content="citation_journal_title=Nature Commun.; citation_title=Active control of electromagnetically induced transparency analogue in terahertz metamaterials; citation_author=J Gu; citation_volume=3; citation_publication_date=2012; citation_pages=1151; citation_id=CR104"/> <meta name="citation_reference" content="citation_journal_title=Phys. Rev. Lett.; citation_title=Metamaterials controlled with light; citation_author=IV Shadrivov, PV Kapitanova, SI Maslovski, YS Kivshar; citation_volume=109; citation_publication_date=2012; citation_pages=083902; citation_id=CR105"/> <meta name="citation_reference" content="citation_journal_title=Nature Phys.; citation_title=Interference-induced terahertz transparency in a magneto-plasma in a semiconductor; citation_author=X Wang, AA Belyanin, SA Crooker, DM Mittleman, J Kono; citation_volume=6; citation_publication_date=2010; citation_pages=126-130; citation_id=CR106"/> <meta name="citation_reference" content="citation_journal_title=Nano Lett.; citation_title=Highly strained compliant optical metamaterials with large frequency tunability; citation_author=IM Pryce, K Aydin, YA Kelaita, RM Briggs, HA Atwater; citation_volume=10; citation_publication_date=2010; citation_pages=4222-4227; citation_id=CR107"/> <meta name="citation_reference" content="citation_journal_title=Nature; citation_title=Large-scale nanophotonic phased array; citation_author=J Sun, E Timurdogan, A Yaacobi, ES Hosseini, MR Watts; citation_volume=493; citation_publication_date=2013; citation_pages=195-199; citation_id=CR108"/> <meta name="citation_author" content="Yu, Nanfang"/> <meta name="citation_author_institution" content="Department of Applied Physics and Applied Mathematics, Columbia University, New York, USA"/> <meta name="citation_author" content="Capasso, Federico"/> <meta name="citation_author_institution" content="School of Engineering and Applied Sciences, Harvard University, Cambridge, USA"/> <meta name="access_endpoint" content="https://www.nature.com/platform/readcube-access"/> <meta name="twitter:site" content="@NatureMaterials"/> <meta name="twitter:card" content="summary_large_image"/> <meta name="twitter:image:alt" content="Content cover image"/> <meta name="twitter:title" content="Flat optics with designer metasurfaces"/> <meta name="twitter:description" content="Nature Materials - Metamaterials are artificially fabricated materials that allow for the control of light and acoustic waves in a manner that is not possible in nature. This Review covers the..."/> <meta name="twitter:image" content="https://media.springernature.com/full/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig1_HTML.jpg"/> <meta property="og:url" content="https://www.nature.com/articles/nmat3839"/> <meta property="og:type" content="article"/> <meta property="og:site_name" content="Nature"/> <meta property="og:title" content="Flat optics with designer metasurfaces - Nature Materials"/> <meta property="og:description" content="Metamaterials are artificially fabricated materials that allow for the control of light and acoustic waves in a manner that is not possible in nature. This Review covers the recent developments in the study of so-called metasurfaces, which offer the possibility of controlling light with ultrathin, planar optical components."/> <meta property="og:image" content="https://media.springernature.com/m685/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig1_HTML.jpg"/> <script> window.eligibleForRa21 = 'true'; </script> </head> <body class="article-page"> <noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-MRVXSHQ" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript> <div class="position-relative cleared z-index-50 background-white" data-test="top-containers"> <a class="c-skip-link" href="#content">Skip to main content</a> <div class="c-grade-c-banner u-hide"> <div class="c-grade-c-banner__container"> <p>Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.</p> </div> </div> <div class="u-hide u-show-following-ad"></div> <aside class="c-ad c-ad--728x90"> <div class="c-ad__inner" data-container-type="banner-advert"> <p class="c-ad__label">Advertisement</p> <div id="div-gpt-ad-top-1" class="div-gpt-ad advert leaderboard js-ad text-center hide-print grade-c-hide" data-ad-type="top" data-test="top-ad" data-pa11y-ignore data-gpt data-gpt-unitpath="/285/materials.nature.com/article" data-gpt-sizes="728x90" data-gpt-targeting="type=article;pos=top;artid=nmat3839;doi=10.1038/nmat3839;subjmeta=1015,399,624,639;kwrd=Metamaterials"> <noscript> <a href="//pubads.g.doubleclick.net/gampad/jump?iu=/285/materials.nature.com/article&sz=728x90&c=1616699478&t=pos%3Dtop%26type%3Darticle%26artid%3Dnmat3839%26doi%3D10.1038/nmat3839%26subjmeta%3D1015,399,624,639%26kwrd%3DMetamaterials"> <img data-test="gpt-advert-fallback-img" src="//pubads.g.doubleclick.net/gampad/ad?iu=/285/materials.nature.com/article&sz=728x90&c=1616699478&t=pos%3Dtop%26type%3Darticle%26artid%3Dnmat3839%26doi%3D10.1038/nmat3839%26subjmeta%3D1015,399,624,639%26kwrd%3DMetamaterials" alt="Advertisement" width="728" height="90"></a> </noscript> </div> </div> </aside> <header class="c-header" id="header" data-header data-track-component="nature-150-split-header" style="border-color:#e40428"> <div class="c-header__row"> <div class="c-header__container"> <div class="c-header__split"> <div class="c-header__logo-container"> <a href="/nmat" data-track="click" data-track-action="home" data-track-label="image"> <picture class="c-header__logo"> <source srcset="https://media.springernature.com/full/nature-cms/uploads/product/nmat/header-80d384455b83ea3c6394c62ec2bf3e14.svg" media="(min-width: 875px)"> <img src="https://media.springernature.com/full/nature-cms/uploads/product/nmat/header-80d384455b83ea3c6394c62ec2bf3e14.svg" height="32" alt="Nature Materials"> </picture> </a> </div> <ul class="c-header__menu c-header__menu--global"> <li class="c-header__item c-header__item--padding c-header__item--hide-md-max"> <a class="c-header__link" href="https://www.nature.com/siteindex" data-test="siteindex-link" data-track="click" data-track-action="open nature research index" data-track-label="link"> <span>View all journals</span> </a> </li> <li class="c-header__item c-header__item--padding c-header__item--pipe"> <a class="c-header__link c-header__link--search" href="#search-menu" data-header-expander data-test="search-link" data-track="click" data-track-action="open search tray" data-track-label="button"> <svg role="img" aria-hidden="true" focusable="false" height="22" width="22" viewBox="0 0 18 18" xmlns="http://www.w3.org/2000/svg"><path d="M16.48 15.455c.283.282.29.749.007 1.032a.738.738 0 01-1.032-.007l-3.045-3.044a7 7 0 111.026-1.026zM8 14A6 6 0 108 2a6 6 0 000 12z"/></svg><span>Search</span> </a> </li> <li class="c-header__item c-header__item--padding c-header__item--snid-account-widget c-header__item--pipe"> <a class="c-header__link eds-c-header__link" id="identity-account-widget" data-track="click_login" data-track-context="header" href='https://idp.nature.com/auth/personal/springernature?redirect_uri=https://www.nature.com/articles/nmat3839?error=cookies_not_supported&code=7356615e-7ad7-4583-aa51-b2071829a9a5'><span class="eds-c-header__widget-fragment-title">Log in</span></a> </li> </ul> </div> </div> </div> <div class="c-header__row"> <div class="c-header__container" data-test="navigation-row"> <div class="c-header__split"> <ul class="c-header__menu c-header__menu--journal"> <li class="c-header__item c-header__item--dropdown-menu" data-test="explore-content-button"> <a href="#explore" class="c-header__link" data-header-expander data-test="menu-button--explore" data-track="click" data-track-action="open explore expander" data-track-label="button"> <span><span class="c-header__show-text">Explore</span> content</span><svg role="img" aria-hidden="true" focusable="false" height="16" viewBox="0 0 16 16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" transform="matrix(0 1 -1 0 11 3)"/></svg> </a> </li> <li class="c-header__item c-header__item--dropdown-menu"> <a href="#about-the-journal" class="c-header__link" data-header-expander data-test="menu-button--about-the-journal" data-track="click" data-track-action="open about the journal expander" data-track-label="button"> <span>About <span class="c-header__show-text">the journal</span></span><svg role="img" aria-hidden="true" focusable="false" height="16" viewBox="0 0 16 16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" transform="matrix(0 1 -1 0 11 3)"/></svg> </a> </li> <li class="c-header__item c-header__item--dropdown-menu" data-test="publish-with-us-button"> <a href="#publish-with-us" class="c-header__link c-header__link--dropdown-menu" data-header-expander data-test="menu-button--publish" data-track="click" data-track-action="open publish with us expander" data-track-label="button"> <span>Publish <span class="c-header__show-text">with us</span></span><svg role="img" aria-hidden="true" focusable="false" height="16" viewBox="0 0 16 16" width="16" xmlns="http://www.w3.org/2000/svg"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" transform="matrix(0 1 -1 0 11 3)"/></svg> </a> </li> <li class="c-header__item c-header__item--pipe c-header__item--hide-lg-max"> <a class="c-header__link" href="/nmat/subscribe" data-track="click" data-track-action="subscribe" data-track-label="link" data-test="menu-button-subscribe"> <span>Subscribe</span> </a> </li> </ul> <ul class="c-header__menu c-header__menu--hide-lg-max"> <li class="c-header__item"> <a class="c-header__link" href="https://idp.nature.com/auth/personal/springernature?redirect_uri=https%3A%2F%2Fwww.nature.com%2Fmy-account%2Falerts%2Fsubscribe-journal%3Flist-id%3D57%26journal-link%3Dhttps%253A%252F%252Fwww.nature.com%252Fnmat%252F" rel="nofollow" data-track="click" data-track-action="Sign up for alerts" data-track-label="link (desktop site header)" data-track-external> <span>Sign up for alerts</span><svg role="img" aria-hidden="true" focusable="false" height="18" viewBox="0 0 18 18" width="18" xmlns="http://www.w3.org/2000/svg"><path d="m4 10h2.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-3.08578644l-1.12132034 1.1213203c-.18753638.1875364-.29289322.4418903-.29289322.7071068v.1715729h14v-.1715729c0-.2652165-.1053568-.5195704-.2928932-.7071068l-1.7071068-1.7071067v-3.4142136c0-2.76142375-2.2385763-5-5-5-2.76142375 0-5 2.23857625-5 5zm3 4c0 1.1045695.8954305 2 2 2s2-.8954305 2-2zm-5 0c-.55228475 0-1-.4477153-1-1v-.1715729c0-.530433.21071368-1.0391408.58578644-1.4142135l1.41421356-1.4142136v-3c0-3.3137085 2.6862915-6 6-6s6 2.6862915 6 6v3l1.4142136 1.4142136c.3750727.3750727.5857864.8837805.5857864 1.4142135v.1715729c0 .5522847-.4477153 1-1 1h-4c0 1.6568542-1.3431458 3-3 3-1.65685425 0-3-1.3431458-3-3z" fill="#222"/></svg> </a> </li> <li class="c-header__item c-header__item--pipe"> <a class="c-header__link" href="https://www.nature.com/nmat.rss" data-track="click" data-track-action="rss feed" data-track-label="link"> <span>RSS feed</span> </a> </li> </ul> </div> </div> </div> </header> <nav class="u-mb-16" aria-label="breadcrumbs"> <div class="u-container"> <ol class="c-breadcrumbs" itemscope itemtype="https://schema.org/BreadcrumbList"> <li class="c-breadcrumbs__item" id="breadcrumb0" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"><a class="c-breadcrumbs__link" href="/" itemprop="item" data-track="click" data-track-action="breadcrumb" data-track-category="header" data-track-label="link:nature"><span itemprop="name">nature</span></a><meta itemprop="position" content="1"> <svg class="c-breadcrumbs__chevron" role="img" aria-hidden="true" focusable="false" height="10" viewBox="0 0 10 10" width="10" xmlns="http://www.w3.org/2000/svg"> <path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill="#666" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/> </svg> </li><li class="c-breadcrumbs__item" id="breadcrumb1" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"><a class="c-breadcrumbs__link" href="/nmat" itemprop="item" data-track="click" data-track-action="breadcrumb" data-track-category="header" data-track-label="link:nature materials"><span itemprop="name">nature materials</span></a><meta itemprop="position" content="2"> <svg class="c-breadcrumbs__chevron" role="img" aria-hidden="true" focusable="false" height="10" viewBox="0 0 10 10" width="10" xmlns="http://www.w3.org/2000/svg"> <path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill="#666" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/> </svg> </li><li class="c-breadcrumbs__item" id="breadcrumb2" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"><a class="c-breadcrumbs__link" href="/nmat/articles?type=review-article" itemprop="item" data-track="click" data-track-action="breadcrumb" data-track-category="header" data-track-label="link:review articles"><span itemprop="name">review articles</span></a><meta itemprop="position" content="3"> <svg class="c-breadcrumbs__chevron" role="img" aria-hidden="true" focusable="false" height="10" viewBox="0 0 10 10" width="10" xmlns="http://www.w3.org/2000/svg"> <path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill="#666" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/> </svg> </li><li class="c-breadcrumbs__item" id="breadcrumb3" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem"> <span itemprop="name">article</span><meta itemprop="position" content="4"></li> </ol> </div> </nav> </div> <div class="u-container u-mt-32 u-mb-32 u-clearfix" id="content" data-component="article-container" data-container-type="article"> <main class="c-article-main-column u-float-left js-main-column" data-track-component="article body"> <article lang="en"> <div class="c-article-header"> <header> <ul class="c-article-identifiers" data-test="article-identifier"> <li class="c-article-identifiers__item" data-test="article-category">Review Article</li> <li class="c-article-identifiers__item">Published: <time datetime="2014-01-23">23 January 2014</time></li> </ul> <h1 class="c-article-title" data-test="article-title" data-article-title="">Flat optics with designer metasurfaces</h1> <ul class="c-article-author-list c-article-author-list--short" data-test="authors-list" data-component-authors-activator="authors-list"><li class="c-article-author-list__item"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Nanfang-Yu-Aff1" data-author-popup="auth-Nanfang-Yu-Aff1" data-author-search="Yu, Nanfang" data-corresp-id="c1">Nanfang Yu<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-mail-medium"></use></svg></a><sup class="u-js-hide"><a href="#Aff1">1</a></sup> & </li><li class="c-article-author-list__item"><a data-test="author-name" data-track="click" data-track-action="open author" data-track-label="link" href="#auth-Federico-Capasso-Aff2" data-author-popup="auth-Federico-Capasso-Aff2" data-author-search="Capasso, Federico" data-corresp-id="c2">Federico Capasso<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-mail-medium"></use></svg></a><sup class="u-js-hide"><a href="#Aff2">2</a></sup> </li></ul> <p class="c-article-info-details" data-container-section="info"> <a data-test="journal-link" href="/nmat" data-track="click" data-track-action="journal homepage" data-track-category="article body" data-track-label="link"><i data-test="journal-title">Nature Materials</i></a> <b data-test="journal-volume"><span class="u-visually-hidden">volume</span> 13</b>, <span class="u-visually-hidden">pages </span>139–150 (<span data-test="article-publication-year">2014</span>)<a href="#citeas" class="c-article-info-details__cite-as u-hide-print" data-track="click" data-track-action="cite this article" data-track-label="link">Cite this article</a> </p> <div class="c-article-metrics-bar__wrapper u-clear-both"> <ul class="c-article-metrics-bar u-list-reset"> <li class=" c-article-metrics-bar__item" data-test="access-count"> <p class="c-article-metrics-bar__count">80k <span class="c-article-metrics-bar__label">Accesses</span></p> </li> <li class="c-article-metrics-bar__item" data-test="altmetric-score"> <p class="c-article-metrics-bar__count">132 <span class="c-article-metrics-bar__label">Altmetric</span></p> </li> <li class="c-article-metrics-bar__item"> <p class="c-article-metrics-bar__details"><a href="/articles/nmat3839/metrics" data-track="click" data-track-action="view metrics" data-track-label="link" rel="nofollow">Metrics <span class="u-visually-hidden">details</span></a></p> </li> </ul> </div> </header> <div class="u-js-hide" data-component="article-subject-links"> <h3 class="c-article__sub-heading">Subjects</h3> <ul class="c-article-subject-list"> <li class="c-article-subject-list__subject"><a href="/subjects/metamaterials" data-track="click" data-track-action="view subject" data-track-label="link">Metamaterials</a></li> </ul> </div> </div> <div class="c-article-body"> <section aria-labelledby="Abs2" data-title="Abstract" lang="en"><div class="c-article-section" id="Abs2-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Abs2">Abstract</h2><div class="c-article-section__content" id="Abs2-content"><p>Conventional optical components such as lenses, waveplates and holograms rely on light propagation over distances much larger than the wavelength to shape wavefronts. In this way substantial changes of the amplitude, phase or polarization of light waves are gradually accumulated along the optical path. This Review focuses on recent developments on flat, ultrathin optical components dubbed 'metasurfaces' that produce abrupt changes over the scale of the free-space wavelength in the phase, amplitude and/or polarization of a light beam. Metasurfaces are generally created by assembling arrays of miniature, anisotropic light scatterers (that is, resonators such as optical antennas). The spacing between antennas and their dimensions are much smaller than the wavelength. As a result the metasurfaces, on account of Huygens principle, are able to mould optical wavefronts into arbitrary shapes with subwavelength resolution by introducing spatial variations in the optical response of the light scatterers. Such gradient metasurfaces go beyond the well-established technology of frequency selective surfaces made of periodic structures and are extending to new spectral regions the functionalities of conventional microwave and millimetre-wave transmit-arrays and reflect-arrays. Metasurfaces can also be created by using ultrathin films of materials with large optical losses. By using the controllable abrupt phase shifts associated with reflection or transmission of light waves at the interface between lossy materials, such metasurfaces operate like optically thin cavities that strongly modify the light spectrum. Technology opportunities in various spectral regions and their potential advantages in replacing existing optical components are discussed.</p></div></div></section> <noscript> <div class="c-nature-box c-nature-box--side " data-component="entitlement-box"> <div class="js-access-button"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fnmat3839" class="c-article__button" data-test="ra21"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-buy-button"> <a href="#access-options" class="c-article__button c-article__button--inverted" data-test="ra21"> <span>Buy or subscribe</span> </a> </div> </div> </noscript> <div class="js-context-bar-sticky-point-mobile" data-track-context="article body"> </div> <div class="c-article-access-provider u-mb-32 u-mt-0"> <p class="c-article-access-provider__text u-sans-serif">This is a preview of subscription content, <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fnmat3839" data-track="click_institution_login" data-track-context="article body link" data-track-action="institution access preview subscription" data-track-label="link">access via your institution</a></p> </div> <h2 class="c-article-section__title u-h2 u-mb-24" id="access-options">Access options</h2> <noscript> <div class="c-nature-box c-nature-box--side " data-component="entitlement-box"> <div class="js-access-button"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fnmat3839" class="c-article__button" data-test="ra21"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> </div> </noscript> <div class="c-nature-box c-nature-box--side u-display-none u-hide-print" aria-hidden="true" data-component="entitlement-box" id=entitlement-box-main-column-unentitled data-force-hide-buy-button="true" data-unsubscribe-media-query-change="true" > <p class="c-nature-box__text js-text u-display-none" aria-hidden="true"></p> <div class="js-access-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fnmat3839" class="c-article__button" aria-hidden="true" data-test="ra21" data-track="click_institution_login" data-track-context="article body button" data-track-action="institution access above buybox" data-track-label="button"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use xlink:href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-change-institution-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fnmat3839" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="change institution above buybox" data-track-label="button"> <span class="c-article__button-text">Change institution</span> </a> </div> <div class="js-buy-button u-display-none"> <a href="#access-options" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="buy or subscribe" data-track-label="button"> <span>Buy or subscribe</span> </a> </div> </div> <div class="LiveAreaSection"><style type="text/css">/* style specs start */ /* style specs end */</style><section class="BuyBoxSection"><div class="subscribe-buybox"> <div class="box-inner"> <p class="title-buybox">Subscribe to this journal</p> <p class="access-buybox"> Receive 12 print issues and online access </p> <div> <p class="price-buybox" id="subscription-price">251,40 € per year</p> <p class="issue-buybox">only 20,95 € per issue</p> </div> <div class="button-container"> <a href="/nmat/subscribe" class="Button-1078489254" data-track="click" data-track-action="subscribe" data-track-label="link" data-track-category="article body" ><span class="ButtonLabel-3296148077">Learn more</span></a > </div> </div> </div><div class="readcube-buybox"> <div class="box-inner"> <p class="title-readcube">Buy this article</p> <ul> <li class="link-usp"><span>Purchase on SpringerLink</span></li> <li class="link-usp"> <span>Instant access to full article PDF</span> </li> </ul> <div class="button-container"> <a href="//link.springer.com/article/10.1038/nmat3839?utm_source=nature&utm_medium=referral&utm_campaign=buyArticle" class="btn-secondary Button-2737859108" data-track="click" data-track-action="Go to SL article page" data-track-label="link" data-track-category="article body" rel="noreferrer" ><span class="btn-secondary-label ButtonLabel-1636778223" >Buy now</span ></a > </div> </div> </div><p class="tax-buybox">Prices may be subject to local taxes which are calculated during checkout</p></section><style type="text/css"> /* style specs start */ style { display: none !important; } .LiveAreaSection * { align-content: stretch; align-items: stretch; align-self: auto; animation-delay: 0s; animation-direction: normal; animation-duration: 0s; animation-fill-mode: none; animation-iteration-count: 1; animation-name: none; animation-play-state: running; animation-timing-function: ease; azimuth: center; backface-visibility: visible; background-attachment: scroll; background-blend-mode: normal; background-clip: borderBox; background-color: transparent; background-image: none; background-origin: paddingBox; background-position: 0 0; background-repeat: repeat; background-size: auto auto; block-size: auto; border-block-end-color: currentcolor; border-block-end-style: none; border-block-end-width: medium; border-block-start-color: currentcolor; border-block-start-style: none; border-block-start-width: medium; border-bottom-color: currentcolor; border-bottom-left-radius: 0; border-bottom-right-radius: 0; border-bottom-style: none; border-bottom-width: medium; border-collapse: separate; border-image-outset: 0s; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-inline-end-color: currentcolor; border-inline-end-style: none; border-inline-end-width: medium; border-inline-start-color: currentcolor; border-inline-start-style: none; border-inline-start-width: medium; border-left-color: currentcolor; border-left-style: none; border-left-width: medium; border-right-color: currentcolor; border-right-style: none; border-right-width: medium; border-spacing: 0; border-top-color: currentcolor; border-top-left-radius: 0; border-top-right-radius: 0; border-top-style: none; border-top-width: medium; bottom: auto; box-decoration-break: slice; box-shadow: none; box-sizing: border-box; break-after: auto; break-before: auto; break-inside: auto; caption-side: top; caret-color: auto; clear: none; clip: auto; clip-path: none; color: initial; column-count: auto; column-fill: balance; column-gap: normal; column-rule-color: currentcolor; column-rule-style: none; column-rule-width: medium; column-span: none; column-width: auto; content: normal; counter-increment: none; counter-reset: none; cursor: auto; display: inline; empty-cells: show; filter: none; flex-basis: auto; flex-direction: row; flex-grow: 0; flex-shrink: 1; flex-wrap: nowrap; float: none; font-family: initial; font-feature-settings: normal; font-kerning: auto; font-language-override: normal; font-size: medium; font-size-adjust: none; font-stretch: normal; font-style: normal; font-synthesis: weight style; font-variant: normal; font-variant-alternates: normal; font-variant-caps: normal; font-variant-east-asian: normal; font-variant-ligatures: normal; font-variant-numeric: normal; font-variant-position: normal; font-weight: 400; grid-auto-columns: auto; grid-auto-flow: row; grid-auto-rows: auto; grid-column-end: auto; grid-column-gap: 0; grid-column-start: auto; grid-row-end: auto; grid-row-gap: 0; grid-row-start: auto; grid-template-areas: none; grid-template-columns: none; grid-template-rows: none; height: auto; hyphens: manual; image-orientation: 0deg; image-rendering: auto; image-resolution: 1dppx; ime-mode: auto; inline-size: auto; isolation: auto; justify-content: flexStart; left: auto; letter-spacing: normal; line-break: auto; line-height: normal; list-style-image: none; list-style-position: outside; list-style-type: disc; margin-block-end: 0; margin-block-start: 0; margin-bottom: 0; margin-inline-end: 0; margin-inline-start: 0; margin-left: 0; margin-right: 0; margin-top: 0; mask-clip: borderBox; mask-composite: add; mask-image: none; mask-mode: matchSource; mask-origin: borderBox; mask-position: 0 0; mask-repeat: repeat; mask-size: auto; mask-type: luminance; max-height: none; max-width: none; min-block-size: 0; min-height: 0; min-inline-size: 0; min-width: 0; mix-blend-mode: normal; object-fit: fill; object-position: 50% 50%; offset-block-end: auto; offset-block-start: auto; offset-inline-end: auto; offset-inline-start: auto; opacity: 1; order: 0; orphans: 2; outline-color: initial; outline-offset: 0; outline-style: none; outline-width: medium; overflow: visible; overflow-wrap: normal; overflow-x: visible; overflow-y: visible; padding-block-end: 0; padding-block-start: 0; padding-bottom: 0; padding-inline-end: 0; padding-inline-start: 0; padding-left: 0; padding-right: 0; padding-top: 0; page-break-after: auto; page-break-before: auto; page-break-inside: auto; perspective: none; perspective-origin: 50% 50%; pointer-events: auto; position: static; quotes: initial; resize: none; right: auto; ruby-align: spaceAround; ruby-merge: separate; ruby-position: over; scroll-behavior: auto; scroll-snap-coordinate: none; scroll-snap-destination: 0 0; scroll-snap-points-x: none; scroll-snap-points-y: none; scroll-snap-type: none; shape-image-threshold: 0; shape-margin: 0; shape-outside: none; tab-size: 8; table-layout: auto; text-align: initial; text-align-last: auto; text-combine-upright: none; text-decoration-color: currentcolor; text-decoration-line: none; text-decoration-style: solid; text-emphasis-color: currentcolor; text-emphasis-position: over right; text-emphasis-style: none; text-indent: 0; text-justify: auto; text-orientation: mixed; text-overflow: clip; text-rendering: auto; text-shadow: none; text-transform: none; text-underline-position: auto; top: auto; touch-action: auto; transform: none; transform-box: borderBox; transform-origin: 50% 50%0; transform-style: flat; transition-delay: 0s; transition-duration: 0s; transition-property: all; transition-timing-function: ease; vertical-align: baseline; visibility: visible; white-space: normal; widows: 2; width: auto; will-change: auto; word-break: normal; word-spacing: normal; word-wrap: normal; writing-mode: horizontalTb; z-index: auto; -webkit-appearance: none; -moz-appearance: none; -ms-appearance: none; appearance: none; margin: 0; } .LiveAreaSection { width: 100%; } .LiveAreaSection .login-option-buybox { display: block; width: 100%; font-size: 17px; line-height: 30px; color: #222; padding-top: 30px; font-family: Harding, Palatino, serif; } .LiveAreaSection .additional-access-options { display: block; font-weight: 700; font-size: 17px; line-height: 30px; color: #222; font-family: Harding, Palatino, serif; } .LiveAreaSection .additional-login > li:not(:first-child)::before { transform: translateY(-50%); content: ""; height: 1rem; position: absolute; top: 50%; left: 0; border-left: 2px solid #999; } .LiveAreaSection .additional-login > li:not(:first-child) { padding-left: 10px; } .LiveAreaSection .additional-login > li { display: inline-block; position: relative; vertical-align: middle; padding-right: 10px; } .BuyBoxSection { display: flex; flex-wrap: wrap; flex: 1; flex-direction: row-reverse; margin: -30px -15px 0; } .BuyBoxSection .box-inner { width: 100%; height: 100%; padding: 30px 5px; display: flex; flex-direction: column; justify-content: space-between; } .BuyBoxSection p { margin: 0; } .BuyBoxSection .readcube-buybox { background-color: #f3f3f3; flex-shrink: 1; flex-grow: 1; flex-basis: 255px; background-clip: content-box; padding: 0 15px; margin-top: 30px; } .BuyBoxSection .subscribe-buybox { background-color: #f3f3f3; flex-shrink: 1; flex-grow: 4; flex-basis: 300px; background-clip: content-box; padding: 0 15px; margin-top: 30px; } .BuyBoxSection .subscribe-buybox-nature-plus { background-color: #f3f3f3; flex-shrink: 1; flex-grow: 4; flex-basis: 100%; background-clip: content-box; padding: 0 15px; margin-top: 30px; } .BuyBoxSection .title-readcube, .BuyBoxSection .title-buybox { display: block; margin: 0; margin-right: 10%; margin-left: 10%; font-size: 24px; line-height: 32px; color: #222; text-align: center; font-family: Harding, Palatino, serif; } .BuyBoxSection .title-asia-buybox { display: block; margin: 0; margin-right: 5%; margin-left: 5%; font-size: 24px; line-height: 32px; color: #222; text-align: center; font-family: Harding, Palatino, serif; } .BuyBoxSection .asia-link, .Link-328123652, .Link-2926870917, .Link-2291679238, .Link-595459207 { color: #069; cursor: pointer; text-decoration: none; font-size: 1.05em; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 1.05em6; } .BuyBoxSection .access-readcube { display: block; margin: 0; margin-right: 10%; margin-left: 10%; font-size: 14px; color: #222; padding-top: 10px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection ul { margin: 0; } .BuyBoxSection .link-usp { display: list-item; margin: 0; margin-left: 20px; padding-top: 6px; list-style-position: inside; } .BuyBoxSection .link-usp span { font-size: 14px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .access-asia-buybox { display: block; margin: 0; margin-right: 5%; margin-left: 5%; font-size: 14px; color: #222; padding-top: 10px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .access-buybox { display: block; margin: 0; margin-right: 10%; margin-left: 10%; font-size: 14px; color: #222; opacity: 0.8px; padding-top: 10px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .price-buybox { display: block; font-size: 30px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; padding-top: 30px; text-align: center; } .BuyBoxSection .price-buybox-to { display: block; font-size: 30px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; text-align: center; } .BuyBoxSection .price-info-text { font-size: 16px; padding-right: 10px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .price-value { font-size: 30px; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .price-per-period { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .price-from { font-size: 14px; padding-right: 10px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 20px; } .BuyBoxSection .issue-buybox { display: block; font-size: 13px; text-align: center; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 19px; } .BuyBoxSection .no-price-buybox { display: block; font-size: 13px; line-height: 18px; text-align: center; padding-right: 10%; padding-left: 10%; padding-bottom: 20px; padding-top: 30px; color: #222; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; } .BuyBoxSection .vat-buybox { display: block; margin-top: 5px; margin-right: 20%; margin-left: 20%; font-size: 11px; color: #222; padding-top: 10px; padding-bottom: 15px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: 17px; } .BuyBoxSection .tax-buybox { display: block; width: 100%; color: #222; padding: 20px 16px; text-align: center; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; line-height: NaNpx; } .BuyBoxSection .button-container { display: flex; padding-right: 20px; padding-left: 20px; justify-content: center; } .BuyBoxSection .button-container > * { flex: 1px; } .BuyBoxSection .button-container > a:hover, .Button-505204839:hover, .Button-1078489254:hover, .Button-2737859108:hover { text-decoration: none; } .BuyBoxSection .btn-secondary { background: #fff; } .BuyBoxSection .button-asia { background: #069; border: 1px solid #069; border-radius: 0; cursor: pointer; display: block; padding: 9px; outline: 0; text-align: center; text-decoration: none; min-width: 80px; margin-top: 75px; } .BuyBoxSection .button-label-asia, .ButtonLabel-3869432492, .ButtonLabel-3296148077, .ButtonLabel-1636778223 { display: block; color: #fff; font-size: 17px; line-height: 20px; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Oxygen-Sans, Ubuntu, Cantarell, "Helvetica Neue", sans-serif; text-align: center; text-decoration: none; cursor: pointer; } .Button-505204839, .Button-1078489254, .Button-2737859108 { background: #069; border: 1px solid #069; border-radius: 0; cursor: pointer; display: block; padding: 9px; outline: 0; text-align: center; text-decoration: none; min-width: 80px; max-width: 320px; margin-top: 20px; } .Button-505204839 .btn-secondary-label, .Button-1078489254 .btn-secondary-label, .Button-2737859108 .btn-secondary-label { color: #069; } .uList-2102244549 { list-style: none; padding: 0; margin: 0; } /* style specs end */</style><div></div></div> <nav class="c-access-options"> <h3 class="c-access-options__heading">Additional access options:</h3> <ul class="c-access-options__list"> <li> <a href="https://idp.nature.com/authorize/natureuser?client_id=grover&redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fnmat3839" data-track="click" data-track-action="login" data-track-category="article body" data-track-label="link">Log in</a> </li> <li> <a href="https://www.springernature.com/gp/librarians/licensing/license-options" data-track="click" data-track-action="learn-subscription" data-track-category="article body" data-track-label="link">Learn about institutional subscriptions</a> </li> <li> <a href="https://support.nature.com/en/support/home" data-track="click" data-track-action="read our faqs" data-track-category="article body" data-track-label="link">Read our FAQs</a> </li> <li> <a href="https://www.springernature.com/gp/contact" data-track="click" data-track-action="contact customer support" data-track-category="article body" data-track-label="link">Contact customer support</a> </li> </ul> </nav> <div class="u-display-none"> <div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-1"><figure><figcaption><b id="Fig1" class="c-article-section__figure-caption" data-test="figure-caption-text">Figure 1: Generalized laws of refraction and reflection.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig1_HTML.jpg?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig1_HTML.jpg" alt="" loading="lazy" width="312" height="221"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-2"><figure><figcaption><b id="Fig2" class="c-article-section__figure-caption" data-test="figure-caption-text">Figure 2: Planar devices based on metasurfaces.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig2_HTML.jpg?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig2_HTML.jpg" alt="" loading="lazy" width="312" height="154"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-3"><figure><figcaption><b id="Fig3" class="c-article-section__figure-caption" data-test="figure-caption-text">Figure 3: Complex wavefront shaping based on metasurfaces.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig3_HTML.jpg?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig3_HTML.jpg" alt="" loading="lazy" width="312" height="169"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-4"><figure><figcaption><b id="Fig4" class="c-article-section__figure-caption" data-test="figure-caption-text">Figure 4: Variation of the polarization state of light is associated with a geometrical phase change (that is, the Pancharatnam–Berry phase).</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig4_HTML.jpg?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig4_HTML.jpg" alt="" loading="lazy" width="312" height="141"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-5"><figure><figcaption><b id="Fig5" class="c-article-section__figure-caption" data-test="figure-caption-text">Figure 5: Hologram-based flat optics.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig5_HTML.jpg?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig5_HTML.jpg" alt="" loading="lazy" width="312" height="183"></picture></div></div></figure></div><div class="c-article-section__figure js-c-reading-companion-figures-item" data-test="figure" data-container-section="figure" id="figure-6"><figure><figcaption><b id="Fig6" class="c-article-section__figure-caption" data-test="figure-caption-text">Figure 6: Thin-film flat optics.</b></figcaption><div class="c-article-section__figure-content"><div class="c-article-section__figure-item"><picture><source type="image/webp" srcset="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig6_HTML.jpg?as=webp"><img src="//media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fnmat3839/MediaObjects/41563_2014_Article_BFnmat3839_Fig6_HTML.jpg" alt="" loading="lazy" width="312" height="168"></picture></div></div></figure></div> </div> <section aria-labelledby="inline-recommendations" data-title="Inline Recommendations" class="c-article-recommendations" data-track-component="inline-recommendations"> <h3 class="c-article-recommendations-title" id="inline-recommendations">Similar content being viewed by others</h3> <div class="c-article-recommendations-list"> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3A10.1038%2Fs41578-020-0203-3/MediaObjects/41578_2020_203_Fig1_HTML.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://www.nature.com/articles/s41578-020-0203-3?fromPaywallRec=true" data-track="select_recommendations_1" data-track-context="inline recommendations" data-track-action="click recommendations inline - 1" data-track-label="10.1038/s41578-020-0203-3">Flat optics with dispersion-engineered metasurfaces </a> </h3> <div class="c-article-meta-recommendations" data-test="recommendation-info"> <span class="c-article-meta-recommendations__item-type">Article</span> <span class="c-article-meta-recommendations__date">19 June 2020</span> </div> </div> </article> </div> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3A10.1038%2Fs41377-020-0287-y/MediaObjects/41377_2020_287_Fig1_HTML.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://www.nature.com/articles/s41377-020-0287-y?fromPaywallRec=true" data-track="select_recommendations_2" data-track-context="inline recommendations" data-track-action="click recommendations inline - 2" data-track-label="10.1038/s41377-020-0287-y">Low-loss metasurface optics down to the deep ultraviolet region </a> </h3> <div class="c-article-meta-recommendations" data-test="recommendation-info"> <span class="c-article-meta-recommendations__item-type">Article</span> <span class="c-article-meta-recommendations__access-type">Open access</span> <span class="c-article-meta-recommendations__date">09 April 2020</span> </div> </div> </article> </div> <div class="c-article-recommendations-list__item"> <article class="c-article-recommendations-card" itemscope itemtype="http://schema.org/ScholarlyArticle"> <div class="c-article-recommendations-card__img"><img src="https://media.springernature.com/w215h120/springer-static/image/art%3A10.1038%2Fs41467-023-41123-x/MediaObjects/41467_2023_41123_Fig1_HTML.png" loading="lazy" alt=""></div> <div class="c-article-recommendations-card__main"> <h3 class="c-article-recommendations-card__heading" itemprop="name headline"> <a class="c-article-recommendations-card__link" itemprop="url" href="https://www.nature.com/articles/s41467-023-41123-x?fromPaywallRec=true" data-track="select_recommendations_3" data-track-context="inline recommendations" data-track-action="click recommendations inline - 3" data-track-label="10.1038/s41467-023-41123-x">Off-axis metasurfaces for folded flat optics </a> </h3> <div class="c-article-meta-recommendations" data-test="recommendation-info"> <span class="c-article-meta-recommendations__item-type">Article</span> <span class="c-article-meta-recommendations__access-type">Open access</span> <span class="c-article-meta-recommendations__date">12 September 2023</span> </div> </div> </article> </div> </div> </section> <script> window.dataLayer = window.dataLayer || []; window.dataLayer.push({ recommendations: { recommender: 'semantic', model: 'specter', policy_id: 'NA', timestamp: 1740136214, embedded_user: 'null' } }); </script> <div class="u-mt-32"> <div id="MagazineFulltextArticleBodySuffix"><section aria-labelledby="Bib1" data-title="References"><div class="c-article-section" id="Bib1-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Bib1">References</h2><div class="c-article-section__content" id="Bib1-content"><div data-container-section="references"><ol class="c-article-references" data-track-component="outbound reference" data-track-context="references section"><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="1"><p class="c-article-references__text" id="ref-CR1">Pendry, J. B., Schurig, D. & Smith, D. R. Controlling electromagnetic fields. <i>Science</i> <b>312</b>, 1780–1782 (2006).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1126/science.1125907" data-track-item_id="10.1126/science.1125907" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1126%2Fscience.1125907" aria-label="Article reference 1" data-doi="10.1126/science.1125907">Article</a> <a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD28XmtVSnt74%3D" aria-label="CAS reference 1">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 1" href="http://scholar.google.com/scholar_lookup?&title=Controlling%20electromagnetic%20fields&journal=Science&doi=10.1126%2Fscience.1125907&volume=312&pages=1780-1782&publication_year=2006&author=Pendry%2CJB&author=Schurig%2CD&author=Smith%2CDR"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="2"><p class="c-article-references__text" id="ref-CR2">Leonhardt, U. Optical conformal mapping. <i>Science</i> <b>312</b>, 1777–1780 (2006).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD28XmtVSntrc%3D" aria-label="CAS reference 2">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 2" href="http://scholar.google.com/scholar_lookup?&title=Optical%20conformal%20mapping&journal=Science&volume=312&pages=1777-1780&publication_year=2006&author=Leonhardt%2CU"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="3"><p class="c-article-references__text" id="ref-CR3">Cai, W. & Shalaev, V. <i>Optical Metamaterials: Fundamentals and Applications</i> (Springer, 2009).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 3" href="http://scholar.google.com/scholar_lookup?&title=Optical%20Metamaterials%3A%20Fundamentals%20and%20Applications&publication_year=2009&author=Cai%2CW&author=Shalaev%2CV"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="4"><p class="c-article-references__text" id="ref-CR4">Engheta, N. & Ziolkowski, R. W. <i>Metamaterials: Physics and Engineering Explorations</i> (Wiley-IEEE, 2006).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 4" href="http://scholar.google.com/scholar_lookup?&title=Metamaterials%3A%20Physics%20and%20Engineering%20Explorations&publication_year=2006&author=Engheta%2CN&author=Ziolkowski%2CRW"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="5"><p class="c-article-references__text" id="ref-CR5">Shelby, R. A., Smith, D. R. & Shultz, S. Experimental verification of a negative index of refraction. <i>Science</i> <b>292</b>, 77–79 (2001).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3MXis1GrsL8%3D" aria-label="CAS reference 5">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 5" href="http://scholar.google.com/scholar_lookup?&title=Experimental%20verification%20of%20a%20negative%20index%20of%20refraction&journal=Science&volume=292&pages=77-79&publication_year=2001&author=Shelby%2CRA&author=Smith%2CDR&author=Shultz%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="6"><p class="c-article-references__text" id="ref-CR6">Fang, N., Lee, H., Sun, C. & Zhang, X. Sub-diffraction-limited optical imaging with a silver superlens. <i>Science</i> <b>308</b>, 534–537 (2005).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD2MXjtlOjtrs%3D" aria-label="CAS reference 6">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 6" href="http://scholar.google.com/scholar_lookup?&title=Sub-diffraction-limited%20optical%20imaging%20with%20a%20silver%20superlens&journal=Science&volume=308&pages=534-537&publication_year=2005&author=Fang%2CN&author=Lee%2CH&author=Sun%2CC&author=Zhang%2CX"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="7"><p class="c-article-references__text" id="ref-CR7">Schurig, D. et al. Metamaterial electromagnetic cloak at microwave frequencies. <i>Science</i> <b>314</b>, 977–980 (2006).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD28XhtFyqtLnP" aria-label="CAS reference 7">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 7" href="http://scholar.google.com/scholar_lookup?&title=Metamaterial%20electromagnetic%20cloak%20at%20microwave%20frequencies&journal=Science&volume=314&pages=977-980&publication_year=2006&author=Schurig%2CD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="8"><p class="c-article-references__text" id="ref-CR8">Yu, N. et al. Light propagation with phase discontinuities: Generalized laws of reflection and refraction. <i>Science</i> <b>334</b>, 333–337 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3MXhtlahsr3M" aria-label="CAS reference 8">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 8" href="http://scholar.google.com/scholar_lookup?&title=Light%20propagation%20with%20phase%20discontinuities%3A%20Generalized%20laws%20of%20reflection%20and%20refraction&journal=Science&volume=334&pages=333-337&publication_year=2011&author=Yu%2CN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="9"><p class="c-article-references__text" id="ref-CR9">Holloway, C. L. et al. An overview of the theory and applications of metasurfaces: The two dimensional equivalents of metamaterials. <i>IEEE Antennas Propagat. Mag.</i> <b>54</b>, 10–35 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 9" href="http://scholar.google.com/scholar_lookup?&title=An%20overview%20of%20the%20theory%20and%20applications%20of%20metasurfaces%3A%20The%20two%20dimensional%20equivalents%20of%20metamaterials&journal=IEEE%20Antennas%20Propagat.%20Mag.&volume=54&pages=10-35&publication_year=2012&author=Holloway%2CCL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="10"><p class="c-article-references__text" id="ref-CR10">Kats, M. A., Blanchard, R., Patrice, G. & Capasso, F. Nanometre optical coatings based on strong interference effects in highly absorbing media. <i>Nature Mater.</i> <b>12</b>, 20–24 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38XhsV2rsL7F" aria-label="CAS reference 10">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 10" href="http://scholar.google.com/scholar_lookup?&title=Nanometre%20optical%20coatings%20based%20on%20strong%20interference%20effects%20in%20highly%20absorbing%20media&journal=Nature%20Mater.&volume=12&pages=20-24&publication_year=2013&author=Kats%2CMA&author=Blanchard%2CR&author=Patrice%2CG&author=Capasso%2CF"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="11"><p class="c-article-references__text" id="ref-CR11">Kildishev, A. V., Boltasseva, A. & Shalaev, V. M. Planar photonics with metasurfaces. <i>Science</i> <b>339</b>, 1232009 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 11" href="http://scholar.google.com/scholar_lookup?&title=Planar%20photonics%20with%20metasurfaces&journal=Science&volume=339&publication_year=2013&author=Kildishev%2CAV&author=Boltasseva%2CA&author=Shalaev%2CVM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="12"><p class="c-article-references__text" id="ref-CR12">Yu, N. et al. Flat optics: Controlling wavefronts with optical antenna metasurfaces. <i>IEEE J. Sel. Top. Quant. Electron.</i> <b>19</b>, 4700423 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 12" href="http://scholar.google.com/scholar_lookup?&title=Flat%20optics%3A%20Controlling%20wavefronts%20with%20optical%20antenna%20metasurfaces&journal=IEEE%20J.%20Sel.%20Top.%20Quant.%20Electron.&volume=19&publication_year=2013&author=Yu%2CN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="13"><p class="c-article-references__text" id="ref-CR13">Bharadwaj, P., Deutsch, B. & Novotny, L. Optical antennas. <i>Adv. Opt. Photon.</i> <b>1</b>, 438–483 (2009).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 13" href="http://scholar.google.com/scholar_lookup?&title=Optical%20antennas&journal=Adv.%20Opt.%20Photon.&volume=1&pages=438-483&publication_year=2009&author=Bharadwaj%2CP&author=Deutsch%2CB&author=Novotny%2CL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="14"><p class="c-article-references__text" id="ref-CR14">Novotny, L. & van Hulst, N. Antennas for light. <i>Nature Photon.</i> <b>5</b>, 83–90 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3MXhtlOjtrs%3D" aria-label="CAS reference 14">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 14" href="http://scholar.google.com/scholar_lookup?&title=Antennas%20for%20light&journal=Nature%20Photon.&volume=5&pages=83-90&publication_year=2011&author=Novotny%2CL&author=van%20Hulst%2CN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="15"><p class="c-article-references__text" id="ref-CR15">Svirko, Y., Zheludev, N. & Osipov, M. Layered chiral metallic microstructures with inductive coupling. <i>Appl. Phys. Lett.</i> <b>78</b>, 498–500 (2001).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3MXltlSmsQ%3D%3D" aria-label="CAS reference 15">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 15" href="http://scholar.google.com/scholar_lookup?&title=Layered%20chiral%20metallic%20microstructures%20with%20inductive%20coupling&journal=Appl.%20Phys.%20Lett.&volume=78&pages=498-500&publication_year=2001&author=Svirko%2CY&author=Zheludev%2CN&author=Osipov%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="16"><p class="c-article-references__text" id="ref-CR16">Zou, L. et al. Dielectric resonator nanoantennas at visible frequencies. <i>Opt. Express</i> <b>21</b>, 1344–1352 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 16" href="http://scholar.google.com/scholar_lookup?&title=Dielectric%20resonator%20nanoantennas%20at%20visible%20frequencies&journal=Opt.%20Express&volume=21&pages=1344-1352&publication_year=2013&author=Zou%2CL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="17"><p class="c-article-references__text" id="ref-CR17">Walther, B. et al. Spatial and spectral light shaping with metamaterials. <i>Adv Mater.</i> <b>24</b>, 6300–6304 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38XhsFSntrrP" aria-label="CAS reference 17">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 17" href="http://scholar.google.com/scholar_lookup?&title=Spatial%20and%20spectral%20light%20shaping%20with%20metamaterials&journal=Adv%20Mater.&volume=24&pages=6300-6304&publication_year=2012&author=Walther%2CB"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="18"><p class="c-article-references__text" id="ref-CR18">Lin, J. et al. Polarization-controlled tunable directional coupling of surface plasmon polaritons. <i>Science</i> <b>340</b>, 331–334 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXlvVKhtbs%3D" aria-label="CAS reference 18">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 18" href="http://scholar.google.com/scholar_lookup?&title=Polarization-controlled%20tunable%20directional%20coupling%20of%20surface%20plasmon%20polaritons&journal=Science&volume=340&pages=331-334&publication_year=2013&author=Lin%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="19"><p class="c-article-references__text" id="ref-CR19">Munk, B. A. <i>Frequency Selective Surfaces: Theory and Design</i> (Wiley, 2000).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 19" href="http://scholar.google.com/scholar_lookup?&title=Frequency%20Selective%20Surfaces%3A%20Theory%20and%20Design&publication_year=2000&author=Munk%2CBA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="20"><p class="c-article-references__text" id="ref-CR20">Wu, T. K. <i>Frequency Selective Surface and Grid Array</i> (Wiley, 1995).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 20" href="http://scholar.google.com/scholar_lookup?&title=Frequency%20Selective%20Surface%20and%20Grid%20Array&publication_year=1995&author=Wu%2CTK"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="21"><p class="c-article-references__text" id="ref-CR21">Pozar, D. M., Targonski, S. D. & Syrigos, H. D. Design of millimeter wave microstrip reflectarrays. <i>IEEE Trans. Antenna Propag.</i> <b>45</b>, 287–295 (1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 21" href="http://scholar.google.com/scholar_lookup?&title=Design%20of%20millimeter%20wave%20microstrip%20reflectarrays&journal=IEEE%20Trans.%20Antenna%20Propag.&volume=45&pages=287-295&publication_year=1997&author=Pozar%2CDM&author=Targonski%2CSD&author=Syrigos%2CHD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="22"><p class="c-article-references__text" id="ref-CR22">Gagnon, N., Petosa, A. & McNamara, D. A. Research and development on phase-shifting surfaces. <i>IEEE Antennas Propag. Mag.</i> <b>55</b>, 29–48 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 22" href="http://scholar.google.com/scholar_lookup?&title=Research%20and%20development%20on%20phase-shifting%20surfaces&journal=IEEE%20Antennas%20Propag.%20Mag.&volume=55&pages=29-48&publication_year=2013&author=Gagnon%2CN&author=Petosa%2CA&author=McNamara%2CDA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="23"><p class="c-article-references__text" id="ref-CR23">Kats, M. A. et al. Ultra-thin perfect absorber employing a tunable phase change material. <i>Appl. Phys. Lett.</i> <b>101</b>, 221101 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="10.1063/1.4767646" data-track-item_id="10.1063/1.4767646" data-track-value="article reference" data-track-action="article reference" href="https://doi.org/10.1063%2F1.4767646" aria-label="Article reference 23" data-doi="10.1063/1.4767646">Article</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 23" href="http://scholar.google.com/scholar_lookup?&title=Ultra-thin%20perfect%20absorber%20employing%20a%20tunable%20phase%20change%20material&journal=Appl.%20Phys.%20Lett.&doi=10.1063%2F1.4767646&volume=101&publication_year=2012&author=Kats%2CMA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="24"><p class="c-article-references__text" id="ref-CR24">Hecht, E. <i>Optics</i> 4th edn (Addison-Wesley, 2001).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 24" href="http://scholar.google.com/scholar_lookup?&title=Optics&publication_year=2001&author=Hecht%2CE"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="25"><p class="c-article-references__text" id="ref-CR25">Huang, F. M. & Zheludev, N. I. Super-resolution without evanescent waves. <i>Nano Lett.</i> <b>9</b>, 1249–1254 (2009).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD1MXht1agt70%3D" aria-label="CAS reference 25">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 25" href="http://scholar.google.com/scholar_lookup?&title=Super-resolution%20without%20evanescent%20waves&journal=Nano%20Lett.&volume=9&pages=1249-1254&publication_year=2009&author=Huang%2CFM&author=Zheludev%2CNI"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="26"><p class="c-article-references__text" id="ref-CR26">Biagioni, P. et al. Near-field polarization shaping by a near-resonant plasmonic cross antenna. <i>Phys. Rev. B</i> <b>80</b>, 153409 (2009).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 26" href="http://scholar.google.com/scholar_lookup?&title=Near-field%20polarization%20shaping%20by%20a%20near-resonant%20plasmonic%20cross%20antenna&journal=Phys.%20Rev.%20B&volume=80&publication_year=2009&author=Biagioni%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="27"><p class="c-article-references__text" id="ref-CR27">Jiang, Z. H. et al. Tailoring dispersion for broadband low-loss optical metamaterials using deep-subwavelength inclusions. <i>Sci. Rep.</i> <b>3</b>, 1571 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 27" href="http://scholar.google.com/scholar_lookup?&title=Tailoring%20dispersion%20for%20broadband%20low-loss%20optical%20metamaterials%20using%20deep-subwavelength%20inclusions&journal=Sci.%20Rep.&volume=3&publication_year=2013&author=Jiang%2CZH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="28"><p class="c-article-references__text" id="ref-CR28">Monticone, F., Estakhri, N. M. & Alù, A. Full control of nanoscale optical transmission with a composite metascreen. <i>Phys. Rev. Lett.</i> <b>110</b>, 203903 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 28" href="http://scholar.google.com/scholar_lookup?&title=%26%20Al%C3%B9%2C%20A.%20Full%20control%20of%20nanoscale%20optical%20transmission%20with%20a%20composite%20metascreen&journal=Phys.%20Rev.%20Lett.&volume=110&publication_year=2013&author=Monticone%2CF&author=Estakhri%2CNM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="29"><p class="c-article-references__text" id="ref-CR29">Pfeiffer, C. & Grbic, A. Metamaterial Huygens' surfaces: Tailoring wave fronts with reflectionless sheets. <i>Phys. Rev. Lett.</i> <b>110</b>, 197401 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 29" href="http://scholar.google.com/scholar_lookup?&title=Metamaterial%20Huygens%27%20surfaces%3A%20Tailoring%20wave%20fronts%20with%20reflectionless%20sheets&journal=Phys.%20Rev.%20Lett.&volume=110&publication_year=2013&author=Pfeiffer%2CC&author=Grbic%2CA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="30"><p class="c-article-references__text" id="ref-CR30">Maier, S. A. <i>Plasmonics: Fundamentals and Applications</i> (Springer, 2007).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 30" href="http://scholar.google.com/scholar_lookup?&title=Plasmonics%3A%20Fundamentals%20and%20Applications&publication_year=2007&author=Maier%2CSA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="31"><p class="c-article-references__text" id="ref-CR31">Feynman, R. P., Leighton, R. B. & Sands, M. <i>The Feynman Lectures on Physics</i> (Addison Wesley Longman, 1970).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 31" href="http://scholar.google.com/scholar_lookup?&title=The%20Feynman%20Lectures%20on%20Physics&publication_year=1970&author=Feynman%2CRP&author=Leighton%2CRB&author=Sands%2CM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="32"><p class="c-article-references__text" id="ref-CR32">Aieta, F. et al. Out-of-plane reflection and refraction of light by anisotropic optical antenna metasurfaces with phase discontinuities. <i>Nano Lett.</i> <b>12</b>, 1702–1706 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38XitlWgu7c%3D" aria-label="CAS reference 32">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 32" href="http://scholar.google.com/scholar_lookup?&title=Out-of-plane%20reflection%20and%20refraction%20of%20light%20by%20anisotropic%20optical%20antenna%20metasurfaces%20with%20phase%20discontinuities&journal=Nano%20Lett.&volume=12&pages=1702-1706&publication_year=2012&author=Aieta%2CF"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="33"><p class="c-article-references__text" id="ref-CR33">Ni, X., Emani, N. K., Kildishev, A. V., Boltasseva, A. & Shalaev, V. M. Broadband light bending with plasmonic nanoantennas. <i>Science</i> <b>335</b>, 427 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38XhtFajsLc%3D" aria-label="CAS reference 33">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 33" href="http://scholar.google.com/scholar_lookup?&title=Broadband%20light%20bending%20with%20plasmonic%20nanoantennas&journal=Science&volume=335&publication_year=2012&author=Ni%2CX&author=Emani%2CNK&author=Kildishev%2CAV&author=Boltasseva%2CA&author=Shalaev%2CVM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="34"><p class="c-article-references__text" id="ref-CR34">Yu, N. et al. A broadband, background-free quarter-wave plate based on plasmonic metasurfaces. <i>Nano Lett.</i> <b>12</b>, 6328–6333 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38Xhs1aktbjJ" aria-label="CAS reference 34">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 34" href="http://scholar.google.com/scholar_lookup?&title=A%20broadband%2C%20background-free%20quarter-wave%20plate%20based%20on%20plasmonic%20metasurfaces&journal=Nano%20Lett.&volume=12&pages=6328-6333&publication_year=2012&author=Yu%2CN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="35"><p class="c-article-references__text" id="ref-CR35">Kats, M. A. et al. Giant birefringence in optical antenna arrays with widely tailorable optical anisotropy. <i>Proc. Natl Acad. Sci. USA</i> <b>109</b>, 12364–12368 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38XhtleqsrjJ" aria-label="CAS reference 35">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 35" href="http://scholar.google.com/scholar_lookup?&title=Giant%20birefringence%20in%20optical%20antenna%20arrays%20with%20widely%20tailorable%20optical%20anisotropy&journal=Proc.%20Natl%20Acad.%20Sci.%20USA&volume=109&pages=12364-12368&publication_year=2012&author=Kats%2CMA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="36"><p class="c-article-references__text" id="ref-CR36">Larouche, S. & Smith, D. R. Reconciliation of generalized refraction with diffraction theory. <i>Opt. Lett.</i> <b>37</b>, 2391–2393 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 36" href="http://scholar.google.com/scholar_lookup?&title=Reconciliation%20of%20generalized%20refraction%20with%20diffraction%20theory&journal=Opt.%20Lett.&volume=37&pages=2391-2393&publication_year=2012&author=Larouche%2CS&author=Smith%2CDR"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="37"><p class="c-article-references__text" id="ref-CR37">Sun, S. et al. High-efficiency broadband anomalous reflection by gradient meta-surfaces. <i>Nano Lett.</i> <b>12</b>, 6223–6229 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38XhslequrzI" aria-label="CAS reference 37">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 37" href="http://scholar.google.com/scholar_lookup?&title=High-efficiency%20broadband%20anomalous%20reflection%20by%20gradient%20meta-surfaces&journal=Nano%20Lett.&volume=12&pages=6223-6229&publication_year=2012&author=Sun%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="38"><p class="c-article-references__text" id="ref-CR38">Sun, S. et al. Gradient-index meta-surfaces as a bridge linking propagating waves and surface waves. <i>Nature Mater.</i> <b>11</b>, 426–431 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38XkvVGntro%3D" aria-label="CAS reference 38">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 38" href="http://scholar.google.com/scholar_lookup?&title=Gradient-index%20meta-surfaces%20as%20a%20bridge%20linking%20propagating%20waves%20and%20surface%20waves&journal=Nature%20Mater.&volume=11&pages=426-431&publication_year=2012&author=Sun%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="39"><p class="c-article-references__text" id="ref-CR39">Farmahini-Farahani, M. & Mosallaei, H. Birefringent reflectarray metasurface for beam engineering in infrared. <i>Opt. Lett.</i> <b>38</b>, 462–464 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 39" href="http://scholar.google.com/scholar_lookup?&title=Birefringent%20reflectarray%20metasurface%20for%20beam%20engineering%20in%20infrared&journal=Opt.%20Lett.&volume=38&pages=462-464&publication_year=2013&author=Farmahini-Farahani%2CM&author=Mosallaei%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="40"><p class="c-article-references__text" id="ref-CR40">Parker, D. & Zimmermann, D. C. Phased arrays - part 1: Theory and architectures. <i>IEEE Trans. Microwave Theory Tech.</i> <b>50</b>, 678–687 (2002).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 40" href="http://scholar.google.com/scholar_lookup?&title=Phased%20arrays%20-%20part%201%3A%20Theory%20and%20architectures&journal=IEEE%20Trans.%20Microwave%20Theory%20Tech.&volume=50&pages=678-687&publication_year=2002&author=Parker%2CD&author=Zimmermann%2CDC"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="41"><p class="c-article-references__text" id="ref-CR41">Parker, D. & Zimmermann, D. C. Phased arrays-part II: Implementations, applications, and future trends. <i>IEEE Trans. Microwave Theory Tech.</i> <b>50</b>, 688–698 (2002).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 41" href="http://scholar.google.com/scholar_lookup?&title=Phased%20arrays-part%20II%3A%20Implementations%2C%20applications%2C%20and%20future%20trends&journal=IEEE%20Trans.%20Microwave%20Theory%20Tech.&volume=50&pages=688-698&publication_year=2002&author=Parker%2CD&author=Zimmermann%2CDC"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="42"><p class="c-article-references__text" id="ref-CR42">Aieta, F. et al. Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces. <i>Nano Lett.</i> <b>12</b>, 4932–4936 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38Xht1Siur%2FF" aria-label="CAS reference 42">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 42" href="http://scholar.google.com/scholar_lookup?&title=Aberration-free%20ultrathin%20flat%20lenses%20and%20axicons%20at%20telecom%20wavelengths%20based%20on%20plasmonic%20metasurfaces&journal=Nano%20Lett.&volume=12&pages=4932-4936&publication_year=2012&author=Aieta%2CF"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="43"><p class="c-article-references__text" id="ref-CR43">Ni, X., Ishii, S., Kildishev, A. V. & Shalaev, V. M. Ultra-thin, planar, Babinet-inverted plasmonic metalenses. <i>Light: Sci. Appl.</i> <b>2</b>, e27 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 43" href="http://scholar.google.com/scholar_lookup?&title=Ultra-thin%2C%20planar%2C%20Babinet-inverted%20plasmonic%20metalenses&journal=Light%3A%20Sci.%20Appl.&volume=2&publication_year=2013&author=Ni%2CX&author=Ishii%2CS&author=Kildishev%2CAV&author=Shalaev%2CVM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="44"><p class="c-article-references__text" id="ref-CR44">Memarzadeh, B. & Mosallaei, H. Array of planar plasmonic scatterers functioning as light concentrator. <i>Opt. Lett.</i> <b>36</b>, 2569–2571 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 44" href="http://scholar.google.com/scholar_lookup?&title=Array%20of%20planar%20plasmonic%20scatterers%20functioning%20as%20light%20concentrator&journal=Opt.%20Lett.&volume=36&pages=2569-2571&publication_year=2011&author=Memarzadeh%2CB&author=Mosallaei%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="45"><p class="c-article-references__text" id="ref-CR45">Pors, A., Nielsen, M. G., Eriksen, R. L. & Bozhevolnyi, S. I. Broadband focusing flat mirrors based on plasmonic gradient metasurfaces. <i>Nano Lett.</i> <b>13</b>, 829–834 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXht1Knu78%3D" aria-label="CAS reference 45">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 45" href="http://scholar.google.com/scholar_lookup?&title=Broadband%20focusing%20flat%20mirrors%20based%20on%20plasmonic%20gradient%20metasurfaces&journal=Nano%20Lett.&volume=13&pages=829-834&publication_year=2013&author=Pors%2CA&author=Nielsen%2CMG&author=Eriksen%2CRL&author=Bozhevolnyi%2CSI"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="46"><p class="c-article-references__text" id="ref-CR46">Genevet, P. et al. Ultra-thin plasmonic optical vortex plate based on phase discontinuities. <i>Appl. Phys. Lett.</i> <b>100</b>, 013101 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 46" href="http://scholar.google.com/scholar_lookup?&title=Ultra-thin%20plasmonic%20optical%20vortex%20plate%20based%20on%20phase%20discontinuities&journal=Appl.%20Phys.%20Lett.&volume=100&publication_year=2012&author=Genevet%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="47"><p class="c-article-references__text" id="ref-CR47">Nye, J. F. & Berry, M. V. Dislocations in wave trains. <i>Proc. R. Soc. Lond. A</i> <b>336</b>, 165–190 (1974).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 47" href="http://scholar.google.com/scholar_lookup?&title=Dislocations%20in%20wave%20trains&journal=Proc.%20R.%20Soc.%20Lond.%20A&volume=336&pages=165-190&publication_year=1974&author=Nye%2CJF&author=Berry%2CMV"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="48"><p class="c-article-references__text" id="ref-CR48">Padgett, M., Courtial, J. & Allen, L. Light's orbital angular momentum. <i>Phys. Today</i> <b>57</b>, 35–40 (2004).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD2cXksVWgtLs%3D" aria-label="CAS reference 48">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 48" href="http://scholar.google.com/scholar_lookup?&title=Light%27s%20orbital%20angular%20momentum&journal=Phys.%20Today&volume=57&pages=35-40&publication_year=2004&author=Padgett%2CM&author=Courtial%2CJ&author=Allen%2CL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="49"><p class="c-article-references__text" id="ref-CR49">Lawrence, N., Trevino, J. & Dal Negro, L. Aperiodic arrays of active nanopillars for radiation engineering. <i>J. Appl. Phys.</i> <b>111</b>, 113101 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 49" href="http://scholar.google.com/scholar_lookup?&title=Aperiodic%20arrays%20of%20active%20nanopillars%20for%20radiation%20engineering&journal=J.%20Appl.%20Phys.&volume=111&publication_year=2012&author=Lawrence%2CN&author=Trevino%2CJ&author=Dal%20Negro%2CL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="50"><p class="c-article-references__text" id="ref-CR50">Pancharatnam, S. Generalized theory of interference, and its applications. Part I. Coherent pencils. <i>Proc. Indian Acad. Sci. Sect. A</i> <b>44</b>, 247–262 (1956).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 50" href="http://scholar.google.com/scholar_lookup?&title=Generalized%20theory%20of%20interference%2C%20and%20its%20applications.%20Part%20I.%20Coherent%20pencils&journal=Proc.%20Indian%20Acad.%20Sci.%20Sect.%20A&volume=44&pages=247-262&publication_year=1956&author=Pancharatnam%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="51"><p class="c-article-references__text" id="ref-CR51">Berry, M. V. Quantal phase factors accompanying adiabatic changes. <i>Proc. R. Soc. London A</i> <b>392</b>, 45–57 (1984).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 51" href="http://scholar.google.com/scholar_lookup?&title=Quantal%20phase%20factors%20accompanying%20adiabatic%20changes&journal=Proc.%20R.%20Soc.%20London%20A&volume=392&pages=45-57&publication_year=1984&author=Berry%2CMV"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="52"><p class="c-article-references__text" id="ref-CR52">Kang, M., Chen, J., Wang, X.-L. & Wang, H.-T. Twisted vector field from an inhomogeneous and anisotropic metamaterial. <i>J. Opt. Soc. Am. B</i> <b>29</b>, 572–576 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38XkvFyhtrw%3D" aria-label="CAS reference 52">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 52" href="http://scholar.google.com/scholar_lookup?&title=Twisted%20vector%20field%20from%20an%20inhomogeneous%20and%20anisotropic%20metamaterial&journal=J.%20Opt.%20Soc.%20Am.%20B&volume=29&pages=572-576&publication_year=2012&author=Kang%2CM&author=Chen%2CJ&author=Wang%2CX-L&author=Wang%2CH-T"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="53"><p class="c-article-references__text" id="ref-CR53">Yariv, A. <i>Optical Electronics in Modern Communications</i> 5th edn (Oxford Univ. Press, 1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 53" href="http://scholar.google.com/scholar_lookup?&title=Optical%20Electronics%20in%20Modern%20Communications&publication_year=1997&author=Yariv%2CA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="54"><p class="c-article-references__text" id="ref-CR54">Kang, M., Feng, T., Wang, H.-T. & Li, J. Wave front engineering from an array of thin aperture antennas. <i>Opt. Express</i> <b>14</b>, 15882–15890 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 54" href="http://scholar.google.com/scholar_lookup?&title=Wave%20front%20engineering%20from%20an%20array%20of%20thin%20aperture%20antennas&journal=Opt.%20Express&volume=14&pages=15882-15890&publication_year=2012&author=Kang%2CM&author=Feng%2CT&author=Wang%2CH-T&author=Li%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="55"><p class="c-article-references__text" id="ref-CR55">Chen, X. et al. Dual-polarity plasmonic metalens for visible light. <i>Nature Commun.</i> <b>3</b>, 1198 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 55" href="http://scholar.google.com/scholar_lookup?&title=Dual-polarity%20plasmonic%20metalens%20for%20visible%20light&journal=Nature%20Commun.&volume=3&publication_year=2012&author=Chen%2CX"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="56"><p class="c-article-references__text" id="ref-CR56">Huang, L. et al. Dispersionless phase discontinuities for controlling light propagation. <i>Nano Lett.</i> <b>12</b>, 5750–5755 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38XhsV2qs7bN" aria-label="CAS reference 56">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 56" href="http://scholar.google.com/scholar_lookup?&title=Dispersionless%20phase%20discontinuities%20for%20controlling%20light%20propagation&journal=Nano%20Lett.&volume=12&pages=5750-5755&publication_year=2012&author=Huang%2CL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="57"><p class="c-article-references__text" id="ref-CR57">Shitrit, N., Bretner, I., Gorodetski, Y., Kleiner, V. & Hasman, E. Optical spin Hall effects in plasmonic chains. <i>Nano Lett.</i> <b>11</b>, 2038–2042 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3MXltFGnu7w%3D" aria-label="CAS reference 57">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 57" href="http://scholar.google.com/scholar_lookup?&title=Optical%20spin%20Hall%20effects%20in%20plasmonic%20chains&journal=Nano%20Lett.&volume=11&pages=2038-2042&publication_year=2011&author=Shitrit%2CN&author=Bretner%2CI&author=Gorodetski%2CY&author=Kleiner%2CV&author=Hasman%2CE"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="58"><p class="c-article-references__text" id="ref-CR58">Cowan, J. J. The surface plasmon resonance effect in holography. <i>Opt. Comm.</i> <b>5</b>, 69–72 (1972).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 58" href="http://scholar.google.com/scholar_lookup?&title=The%20surface%20plasmon%20resonance%20effect%20in%20holography&journal=Opt.%20Comm.&volume=5&pages=69-72&publication_year=1972&author=Cowan%2CJJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="59"><p class="c-article-references__text" id="ref-CR59">Ozaki, M., Kato, J.-I. & Kawata, S. Surface-plasmon holography with white-light illumination. <i>Science</i> <b>332</b>, 218–220 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3MXksV2qt7w%3D" aria-label="CAS reference 59">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 59" href="http://scholar.google.com/scholar_lookup?&title=Surface-plasmon%20holography%20with%20white-light%20illumination&journal=Science&volume=332&pages=218-220&publication_year=2011&author=Ozaki%2CM&author=Kato%2CJ-I&author=Kawata%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="60"><p class="c-article-references__text" id="ref-CR60">Tetienne, J.-P. et al. Dipolar modeling and experimental demonstration of multi-beam plasmonic collimators. <i>New J. Phys.</i> <b>13</b>, 053057 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 60" href="http://scholar.google.com/scholar_lookup?&title=Dipolar%20modeling%20and%20experimental%20demonstration%20of%20multi-beam%20plasmonic%20collimators&journal=New%20J.%20Phys.&volume=13&publication_year=2011&author=Tetienne%2CJ-P"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="61"><p class="c-article-references__text" id="ref-CR61">Genevet, P., Lin, J., Kats, M. A. & Capasso, F. Holographic detection of the orbital angular momentum of light with plasmonic photodiodes. <i>Nature Commun.</i> <b>3</b>, 1278 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 61" href="http://scholar.google.com/scholar_lookup?&title=Holographic%20detection%20of%20the%20orbital%20angular%20momentum%20of%20light%20with%20plasmonic%20photodiodes&journal=Nature%20Commun.&volume=3&publication_year=2012&author=Genevet%2CP&author=Lin%2CJ&author=Kats%2CMA&author=Capasso%2CF"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="62"><p class="c-article-references__text" id="ref-CR62">Dolev, I., Epstein, I. & Arie, A. Surface-plasmon holographic beam shaping. <i>Phys. Rev. Lett.</i> <b>109</b>, 203903 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 62" href="http://scholar.google.com/scholar_lookup?&title=Surface-plasmon%20holographic%20beam%20shaping&journal=Phys.%20Rev.%20Lett.&volume=109&publication_year=2012&author=Dolev%2CI&author=Epstein%2CI&author=Arie%2CA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="63"><p class="c-article-references__text" id="ref-CR63">Fong, B. H., Colburn, J. S., Ottusch, J. J., Visher, J. L. & Sievenpiper, D. F. Scalar and tensor holographic artificial impedance surfaces. <i>IEEE Trans. Antenna Propag.</i> <b>58</b>, 3212–3221 (2010).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 63" href="http://scholar.google.com/scholar_lookup?&title=Scalar%20and%20tensor%20holographic%20artificial%20impedance%20surfaces&journal=IEEE%20Trans.%20Antenna%20Propag.&volume=58&pages=3212-3221&publication_year=2010&author=Fong%2CBH&author=Colburn%2CJS&author=Ottusch%2CJJ&author=Visher%2CJL&author=Sievenpiper%2CDF"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="64"><p class="c-article-references__text" id="ref-CR64">Minatti, G., Caminita, F., Casaletti, M. & Maci, S. Spiral leaky-wave antennas based on modulated surface impedance. <i>IEEE Trans. Antenna Propag.</i> <b>59</b>, 4436–4444 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 64" href="http://scholar.google.com/scholar_lookup?&title=Spiral%20leaky-wave%20antennas%20based%20on%20modulated%20surface%20impedance&journal=IEEE%20Trans.%20Antenna%20Propag.&volume=59&pages=4436-4444&publication_year=2011&author=Minatti%2CG&author=Caminita%2CF&author=Casaletti%2CM&author=Maci%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="65"><p class="c-article-references__text" id="ref-CR65">Qazilbash, M. M. et al. Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging. <i>Science</i> <b>318</b>, 1750–1753 (2007).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD2sXhsVWhu7nK" aria-label="CAS reference 65">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 65" href="http://scholar.google.com/scholar_lookup?&title=Mott%20transition%20in%20VO2%20revealed%20by%20infrared%20spectroscopy%20and%20nano-imaging&journal=Science&volume=318&pages=1750-1753&publication_year=2007&author=Qazilbash%2CMM"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="66"><p class="c-article-references__text" id="ref-CR66">Streyer, W., Law, S., Rooney, G., Jacobs, T. & Wasserman, D. Strong absorption and selective emission from engineered metals with dielectric coatings. <i>Opt. Express</i> <b>21</b>, 9113–9122 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXmsVOju7w%3D" aria-label="CAS reference 66">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 66" href="http://scholar.google.com/scholar_lookup?&title=Strong%20absorption%20and%20selective%20emission%20from%20engineered%20metals%20with%20dielectric%20coatings&journal=Opt.%20Express&volume=21&pages=9113-9122&publication_year=2013&author=Streyer%2CW&author=Law%2CS&author=Rooney%2CG&author=Jacobs%2CT&author=Wasserman%2CD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="67"><p class="c-article-references__text" id="ref-CR67">Dotan, H. et al. Resonant light trapping in ultrathin films for water splitting. <i>Nature Mater.</i> <b>12</b>, 158–164 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC38Xhs1Ckt7rI" aria-label="CAS reference 67">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 67" href="http://scholar.google.com/scholar_lookup?&title=Resonant%20light%20trapping%20in%20ultrathin%20films%20for%20water%20splitting&journal=Nature%20Mater.&volume=12&pages=158-164&publication_year=2013&author=Dotan%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="68"><p class="c-article-references__text" id="ref-CR68">Minoshima, K., Kowalevicz, A. M., Hartl, I., Ippen, E. P. & Fujimoto, J. G. Photonic device fabrication in glass by use of nonlinear materials processing with a femtosecond laser oscillator. <i>Opt. Lett.</i> <b>26</b>, 1516–1518 (2001).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BD2sjhtFagsQ%3D%3D" aria-label="CAS reference 68">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 68" href="http://scholar.google.com/scholar_lookup?&title=Photonic%20device%20fabrication%20in%20glass%20by%20use%20of%20nonlinear%20materials%20processing%20with%20a%20femtosecond%20laser%20oscillator&journal=Opt.%20Lett.&volume=26&pages=1516-1518&publication_year=2001&author=Minoshima%2CK&author=Kowalevicz%2CAM&author=Hartl%2CI&author=Ippen%2CEP&author=Fujimoto%2CJG"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="69"><p class="c-article-references__text" id="ref-CR69">Calvert, P. Inkjet printing for materials and devices. <i>Chem. Mater.</i> <b>13</b>, 3299–3305 (2001).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3MXms1equ7Y%3D" aria-label="CAS reference 69">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 69" href="http://scholar.google.com/scholar_lookup?&title=Inkjet%20printing%20for%20materials%20and%20devices&journal=Chem.%20Mater.&volume=13&pages=3299-3305&publication_year=2001&author=Calvert%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="70"><p class="c-article-references__text" id="ref-CR70">Streppel, U. et al. New wafer-scale fabrication method for stacked optical waveguide interconnects and 3D micro-optic structures using photoresponsive (inorganic–organic hybrid) polymers. <i>Opt. Mater.</i> <b>21</b>, 475–483 (2002).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 70" href="http://scholar.google.com/scholar_lookup?&title=New%20wafer-scale%20fabrication%20method%20for%20stacked%20optical%20waveguide%20interconnects%20and%203D%20micro-optic%20structures%20using%20photoresponsive%20%28inorganic%E2%80%93organic%20hybrid%29%20polymers&journal=Opt.%20Mater.&volume=21&pages=475-483&publication_year=2002&author=Streppel%2CU"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="71"><p class="c-article-references__text" id="ref-CR71">Miklyaev, Y. V. et al. Three-dimensional face-centered-cubic photonic crystal templates by laser holography: fabrication, optical characterization, and band-structure calculations. <i>Appl. Phys. Lett.</i> <b>82</b>, 1284–1286 (2003).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD3sXhtlyhtbc%3D" aria-label="CAS reference 71">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 71" href="http://scholar.google.com/scholar_lookup?&title=Three-dimensional%20face-centered-cubic%20photonic%20crystal%20templates%20by%20laser%20holography%3A%20fabrication%2C%20optical%20characterization%2C%20and%20band-structure%20calculations&journal=Appl.%20Phys.%20Lett.&volume=82&pages=1284-1286&publication_year=2003&author=Miklyaev%2CYV"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="72"><p class="c-article-references__text" id="ref-CR72">Gansel, J. K. et al. Gold helix photonic metamaterial as broadband circular polarizer. <i>Science</i> <b>325</b>, 1513–1515 (2009).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD1MXhtFanur3J" aria-label="CAS reference 72">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 72" href="http://scholar.google.com/scholar_lookup?&title=Gold%20helix%20photonic%20metamaterial%20as%20broadband%20circular%20polarizer&journal=Science&volume=325&pages=1513-1515&publication_year=2009&author=Gansel%2CJK"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="73"><p class="c-article-references__text" id="ref-CR73">Kress, B. C. & Meyrueis, P. <i>Digital Diffractive Optics: An Introduction to Planar Diffractive Optics and Related Technology</i> (Wiley, 2000).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 73" href="http://scholar.google.com/scholar_lookup?&title=Digital%20Diffractive%20Optics%3A%20An%20Introduction%20to%20Planar%20Diffractive%20Optics%20and%20Related%20Technology&publication_year=2000&author=Kress%2CBC&author=Meyrueis%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="74"><p class="c-article-references__text" id="ref-CR74">Li, G. et al. Switchable electro-optic diffractive lens with high efficiency for ophthalmic applications. <i>Proc. Natl Acad. Sci. USA</i> <b>103</b>, 6100–6104 (2006).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD28XktFanu7c%3D" aria-label="CAS reference 74">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 74" href="http://scholar.google.com/scholar_lookup?&title=Switchable%20electro-optic%20diffractive%20lens%20with%20high%20efficiency%20for%20ophthalmic%20applications&journal=Proc.%20Natl%20Acad.%20Sci.%20USA&volume=103&pages=6100-6104&publication_year=2006&author=Li%2CG"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="75"><p class="c-article-references__text" id="ref-CR75">Leger, J. R., Swanson, G. J. & Veldkamp, W. B. Coherent laser addition using binary phase gratings. <i>Appl. Opt.</i> <b>26</b>, 4391–4399 (1987).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BC3cvhsFahsQ%3D%3D" aria-label="CAS reference 75">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 75" href="http://scholar.google.com/scholar_lookup?&title=Coherent%20laser%20addition%20using%20binary%20phase%20gratings&journal=Appl.%20Opt.&volume=26&pages=4391-4399&publication_year=1987&author=Leger%2CJR&author=Swanson%2CGJ&author=Veldkamp%2CWB"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="76"><p class="c-article-references__text" id="ref-CR76">Bifano, T. G., Perreault, J., Mali, R. K. & Horenstein, M. N. Microelectromechanical deformable mirrors. <i>IEEE J. Sel. Top. Quantum Electron.</i> <b>5</b>, 83–89 (1999).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK1MXhsFyluro%3D" aria-label="CAS reference 76">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 76" href="http://scholar.google.com/scholar_lookup?&title=Microelectromechanical%20deformable%20mirrors&journal=IEEE%20J.%20Sel.%20Top.%20Quantum%20Electron.&volume=5&pages=83-89&publication_year=1999&author=Bifano%2CTG&author=Perreault%2CJ&author=Mali%2CRK&author=Horenstein%2CMN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="77"><p class="c-article-references__text" id="ref-CR77">Wu, M. C., Solgaard, O. & Ford, J. E. Optical MEMS for lightwave communication. <i>J. Lightwave Technol.</i> <b>24</b>, 4433–4454 (2006).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 77" href="http://scholar.google.com/scholar_lookup?&title=Optical%20MEMS%20for%20lightwave%20communication&journal=J.%20Lightwave%20Technol.&volume=24&pages=4433-4454&publication_year=2006&author=Wu%2CMC&author=Solgaard%2CO&author=Ford%2CJE"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="78"><p class="c-article-references__text" id="ref-CR78">Neto, L. G., Cardona, P. S. P., Cirino, G. A., Mansano, R. D. & Verdonck, P. Design, fabrication, and characterization of a full complex-amplitude modulation diffractive optical element. <i>J. Micro-Nanolithogr. MEMS MOEMS</i> <b>2</b>, 96–104 (2003).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 78" href="http://scholar.google.com/scholar_lookup?&title=Design%2C%20fabrication%2C%20and%20characterization%20of%20a%20full%20complex-amplitude%20modulation%20diffractive%20optical%20element&journal=J.%20Micro-Nanolithogr.%20MEMS%20MOEMS&volume=2&pages=96-104&publication_year=2003&author=Neto%2CLG&author=Cardona%2CPSP&author=Cirino%2CGA&author=Mansano%2CRD&author=Verdonck%2CP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="79"><p class="c-article-references__text" id="ref-CR79">Kley, E.-B., Schnabel, B. & Zeitner, U. D. E-beam lithography — an efficient tool for the fabrication of diffractive and microoptical elements. <i>Proc. SPIE</i> <b>3008</b>, 222–232 (1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK2sXjtFOht7g%3D" aria-label="CAS reference 79">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 79" href="http://scholar.google.com/scholar_lookup?&title=E-beam%20lithography%20%E2%80%94%20an%20efficient%20tool%20for%20the%20fabrication%20of%20diffractive%20and%20microoptical%20elements&journal=Proc.%20SPIE&volume=3008&pages=222-232&publication_year=1997&author=Kley%2CE-B&author=Schnabel%2CB&author=Zeitner%2CUD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="80"><p class="c-article-references__text" id="ref-CR80">Pedder, J. E. A., Holmes, A. S., Allott, R. & Boehlen, K. Pulsed laser ablation for volume micro-optical arrays on large area substrates. <i>Proc. SPIE</i> <b>6462</b>, 64620W-1–64620W-7 (2007).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 80" href="http://scholar.google.com/scholar_lookup?&title=Pulsed%20laser%20ablation%20for%20volume%20micro-optical%20arrays%20on%20large%20area%20substrates&journal=Proc.%20SPIE&volume=6462&pages=64620W-1-64620W-7&publication_year=2007&author=Pedder%2CJEA&author=Holmes%2CAS&author=Allott%2CR&author=Boehlen%2CK"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="81"><p class="c-article-references__text" id="ref-CR81">Gale, M. T., Rossi, M. & Schütz, H. Fabrication of continuous-relief micro-optical elements by direct laser writing in photoresist. <i>Proc. SPIE</i> <b>2045</b>, 54–62 (2005).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 81" href="http://scholar.google.com/scholar_lookup?&title=Fabrication%20of%20continuous-relief%20micro-optical%20elements%20by%20direct%20laser%20writing%20in%20photoresist&journal=Proc.%20SPIE&volume=2045&pages=54-62&publication_year=2005&author=Gale%2CMT&author=Rossi%2CM&author=Sch%C3%BCtz%2CH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="82"><p class="c-article-references__text" id="ref-CR82">Suleski, T. J. & O'Shea, D. C. Gray-scale masks for diffractive-optics fabrication: I. Commercial slide imagers. <i>Appl. Opt.</i> <b>34</b>, 7507–7517 (1995).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BC3cblsl2mtA%3D%3D" aria-label="CAS reference 82">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 82" href="http://scholar.google.com/scholar_lookup?&title=Gray-scale%20masks%20for%20diffractive-optics%20fabrication%3A%20I.%20Commercial%20slide%20imagers&journal=Appl.%20Opt.&volume=34&pages=7507-7517&publication_year=1995&author=Suleski%2CTJ&author=O%27Shea%2CDC"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="83"><p class="c-article-references__text" id="ref-CR83">O'Shea, D. C. & Rockward, W. S. Gray-scale masks for diffractive-optics fabrication: II. Spatially filtered halftone screens. <i>Appl. Opt.</i> <b>34</b>, 7518–7526 (1995).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BC3cblsl2mtQ%3D%3D" aria-label="CAS reference 83">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 83" href="http://scholar.google.com/scholar_lookup?&title=Gray-scale%20masks%20for%20diffractive-optics%20fabrication%3A%20II.%20Spatially%20filtered%20halftone%20screens&journal=Appl.%20Opt.&volume=34&pages=7518-7526&publication_year=1995&author=O%27Shea%2CDC&author=Rockward%2CWS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="84"><p class="c-article-references__text" id="ref-CR84">Maruo, S., Nakamura, O. & Kawata, S. Three-dimensional microfabrication with two-photon-absorbed photopolymerization. <i>Opt. Lett.</i> <b>22</b>, 132–134 (1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK2sXpt1Citw%3D%3D" aria-label="CAS reference 84">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 84" href="http://scholar.google.com/scholar_lookup?&title=Three-dimensional%20microfabrication%20with%20two-photon-absorbed%20photopolymerization&journal=Opt.%20Lett.&volume=22&pages=132-134&publication_year=1997&author=Maruo%2CS&author=Nakamura%2CO&author=Kawata%2CS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="85"><p class="c-article-references__text" id="ref-CR85">Cumpston, B. H. et al. Two-photon polymerization initiators for three-dimensional optical data storage and microfabrication. <i>Nature</i> <b>398</b>, 51–54 (1999).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DyaK1MXhvFaltLg%3D" aria-label="CAS reference 85">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 85" href="http://scholar.google.com/scholar_lookup?&title=Two-photon%20polymerization%20initiators%20for%20three-dimensional%20optical%20data%20storage%20and%20microfabrication&journal=Nature&volume=398&pages=51-54&publication_year=1999&author=Cumpston%2CBH"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="86"><p class="c-article-references__text" id="ref-CR86">Vora, K., Kang, S., Shukla, S. & Mazur, E. Fabrication of disconnected three dimensional silver nanostructures in a polymer matrix. <i>Appl. Phys. Lett.</i> <b>100</b>, 063120 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 86" href="http://scholar.google.com/scholar_lookup?&title=Fabrication%20of%20disconnected%20three%20dimensional%20silver%20nanostructures%20in%20a%20polymer%20matrix&journal=Appl.%20Phys.%20Lett.&volume=100&publication_year=2012&author=Vora%2CK&author=Kang%2CS&author=Shukla%2CS&author=Mazur%2CE"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="87"><p class="c-article-references__text" id="ref-CR87">Suhara, T., Kobayashi, K., Nishihara, H. & Koyama, J. Graded-index Fresnel lenses for integrated optics. <i>Appl. Opt.</i> <b>21</b>, 1966–1971 (1982).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BC3c3mtVKgsQ%3D%3D" aria-label="CAS reference 87">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 87" href="http://scholar.google.com/scholar_lookup?&title=Graded-index%20Fresnel%20lenses%20for%20integrated%20optics&journal=Appl.%20Opt.&volume=21&pages=1966-1971&publication_year=1982&author=Suhara%2CT&author=Kobayashi%2CK&author=Nishihara%2CH&author=Koyama%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="88"><p class="c-article-references__text" id="ref-CR88">Chen, F. T. & Craighead, H. G. Diffractive phase elements based on two-dimensional artificial dielectrics. <i>Opt. Lett.</i> <b>20</b>, 121–123 (1995).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BD1MjhslKmsg%3D%3D" aria-label="CAS reference 88">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 88" href="http://scholar.google.com/scholar_lookup?&title=Diffractive%20phase%20elements%20based%20on%20two-dimensional%20artificial%20dielectrics&journal=Opt.%20Lett.&volume=20&pages=121-123&publication_year=1995&author=Chen%2CFT&author=Craighead%2CHG"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="89"><p class="c-article-references__text" id="ref-CR89">Mait, J. N., Prather, D. W. & Mirotznik, M. S. Binary subwavelength diffractive-lens design. <i>Opt. Lett.</i> <b>23</b>, 1343–1345 (1998).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:STN:280:DC%2BD2sjltlamuw%3D%3D" aria-label="CAS reference 89">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 89" href="http://scholar.google.com/scholar_lookup?&title=Binary%20subwavelength%20diffractive-lens%20design&journal=Opt.%20Lett.&volume=23&pages=1343-1345&publication_year=1998&author=Mait%2CJN&author=Prather%2CDW&author=Mirotznik%2CMS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="90"><p class="c-article-references__text" id="ref-CR90">Valentine, J., Li, J., Zentgraf, T., Bartal, G. & Zhang, X. An optical cloak made of dielectrics. <i>Nature Mater.</i> <b>8</b>, 568–571 (2009).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD1MXnsFOqtL8%3D" aria-label="CAS reference 90">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 90" href="http://scholar.google.com/scholar_lookup?&title=An%20optical%20cloak%20made%20of%20dielectrics&journal=Nature%20Mater.&volume=8&pages=568-571&publication_year=2009&author=Valentine%2CJ&author=Li%2CJ&author=Zentgraf%2CT&author=Bartal%2CG&author=Zhang%2CX"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="91"><p class="c-article-references__text" id="ref-CR91">Gao, H., Zhang, B., Johnson, S. G. & Barbastathis, G. Design of thin–film photonic metamaterial Lüneburg lens using analytical approach. <i>Opt. Express</i> <b>20</b>, 1617–1628 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 91" href="http://scholar.google.com/scholar_lookup?&title=Design%20of%20thin%E2%80%93film%20photonic%20metamaterial%20L%C3%BCneburg%20lens%20using%20analytical%20approach&journal=Opt.%20Express&volume=20&pages=1617-1628&publication_year=2012&author=Gao%2CH&author=Zhang%2CB&author=Johnson%2CSG&author=Barbastathis%2CG"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="92"><p class="c-article-references__text" id="ref-CR92">Herzig, H. P. <i>Micro-Optics: Elements, Systems and Applications</i> (Taylor & Francis, 1997).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 92" href="http://scholar.google.com/scholar_lookup?&title=Micro-Optics%3A%20Elements%2C%20Systems%20and%20Applications&publication_year=1997&author=Herzig%2CHP"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="93"><p class="c-article-references__text" id="ref-CR93">Smythe, E. J., Dickey, M. D., Whitesides, G. M. & Capasso, F. A technique to transfer metallic nanoscale patterns to small and non-planar surfaces. <i>ACS Nano</i> <b>3</b>, 59–65 (2009).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD1MXivA%3D%3D" aria-label="CAS reference 93">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 93" href="http://scholar.google.com/scholar_lookup?&title=A%20technique%20to%20transfer%20metallic%20nanoscale%20patterns%20to%20small%20and%20non-planar%20surfaces&journal=ACS%20Nano&volume=3&pages=59-65&publication_year=2009&author=Smythe%2CEJ&author=Dickey%2CMD&author=Whitesides%2CGM&author=Capasso%2CF"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="94"><p class="c-article-references__text" id="ref-CR94">Mason, J. A., Smith, S. & Wasserman, D. Strong absorption and selective thermal emission from a midinfrared metamaterial. <i>Appl. Phys. Lett.</i> <b>98</b>, 241105 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 94" href="http://scholar.google.com/scholar_lookup?&title=Strong%20absorption%20and%20selective%20thermal%20emission%20from%20a%20midinfrared%20metamaterial&journal=Appl.%20Phys.%20Lett.&volume=98&publication_year=2011&author=Mason%2CJA&author=Smith%2CS&author=Wasserman%2CD"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="95"><p class="c-article-references__text" id="ref-CR95">Chen, H.-T. et al. Active terahertz metamaterial devices. <i>Nature</i> <b>444</b>, 597–600 (2006).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BD28Xht1KjurnP" aria-label="CAS reference 95">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 95" href="http://scholar.google.com/scholar_lookup?&title=Active%20terahertz%20metamaterial%20devices&journal=Nature&volume=444&pages=597-600&publication_year=2006&author=Chen%2CH-T"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="96"><p class="c-article-references__text" id="ref-CR96">Ju, L. et al. Graphene plasmonics for tunable terahertz metamaterials. <i>Nature Nanotech.</i> <b>6</b>, 630–634 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3MXhtFWrsr7L" aria-label="CAS reference 96">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 96" href="http://scholar.google.com/scholar_lookup?&title=Graphene%20plasmonics%20for%20tunable%20terahertz%20metamaterials&journal=Nature%20Nanotech.&volume=6&pages=630-634&publication_year=2011&author=Ju%2CL"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="97"><p class="c-article-references__text" id="ref-CR97">Vakil, A. & Engheta, N. Transformation optics using graphene. <i>Science</i> <b>332</b>, 1291–1294 (2011).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3MXntVGlt7Y%3D" aria-label="CAS reference 97">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 97" href="http://scholar.google.com/scholar_lookup?&title=Transformation%20optics%20using%20graphene&journal=Science&volume=332&pages=1291-1294&publication_year=2011&author=Vakil%2CA&author=Engheta%2CN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="98"><p class="c-article-references__text" id="ref-CR98">Fallahi, A. & Perruisseau-Carrier, J. Design of tunable biperiodic graphene metasurfaces. <i>Phys. Rev. B</i> <b>86</b>, 195408 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 98" href="http://scholar.google.com/scholar_lookup?&title=Design%20of%20tunable%20biperiodic%20graphene%20metasurfaces&journal=Phys.%20Rev.%20B&volume=86&publication_year=2012&author=Fallahi%2CA&author=Perruisseau-Carrier%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="99"><p class="c-article-references__text" id="ref-CR99">Carrasco, E., Tamagnone, M. & Perruisseau-Carrier, J. Tunable graphene reflective cells for THz reflectarrays and generalized law of reflection. <i>Appl. Phys. Lett.</i> <b>102</b>, 104103 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 99" href="http://scholar.google.com/scholar_lookup?&title=Tunable%20graphene%20reflective%20cells%20for%20THz%20reflectarrays%20and%20generalized%20law%20of%20reflection&journal=Appl.%20Phys.%20Lett.&volume=102&publication_year=2013&author=Carrasco%2CE&author=Tamagnone%2CM&author=Perruisseau-Carrier%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="100"><p class="c-article-references__text" id="ref-CR100">Yao, Y. et al. Broad electrical tuning of graphene-loaded plasmonic antennas. <i>Nano Lett.</i> <b>13</b>, 1257–1264 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXjtVChtrk%3D" aria-label="CAS reference 100">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 100" href="http://scholar.google.com/scholar_lookup?&title=Broad%20electrical%20tuning%20of%20graphene-loaded%20plasmonic%20antennas&journal=Nano%20Lett.&volume=13&pages=1257-1264&publication_year=2013&author=Yao%2CY"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="101"><p class="c-article-references__text" id="ref-CR101">Li, Z. & Yu, N. Modulation of mid-infrared light using graphene-metal plasmonic antennas. <i>Appl. Phys. Lett.</i> <b>102</b>, 131108 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 101" href="http://scholar.google.com/scholar_lookup?&title=Modulation%20of%20mid-infrared%20light%20using%20graphene-metal%20plasmonic%20antennas&journal=Appl.%20Phys.%20Lett.&volume=102&publication_year=2013&author=Li%2CZ&author=Yu%2CN"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="102"><p class="c-article-references__text" id="ref-CR102">Fang, Z. et al. Gated tunability and hybridization of localized plasmons in nanostructured graphene. <i>ACS Nano</i> <b>7</b>, 2388–2395 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXit1ejtrc%3D" aria-label="CAS reference 102">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 102" href="http://scholar.google.com/scholar_lookup?&title=Gated%20tunability%20and%20hybridization%20of%20localized%20plasmons%20in%20nanostructured%20graphene&journal=ACS%20Nano&volume=7&pages=2388-2395&publication_year=2013&author=Fang%2CZ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="103"><p class="c-article-references__text" id="ref-CR103">Kats, M. A. et al. Thermal tuning of mid-infrared plasmonic antenna arrays using a phase change material. <i>Opt. Lett.</i> <b>38</b>, 368–370 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXltlKqu78%3D" aria-label="CAS reference 103">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 103" href="http://scholar.google.com/scholar_lookup?&title=Thermal%20tuning%20of%20mid-infrared%20plasmonic%20antenna%20arrays%20using%20a%20phase%20change%20material&journal=Opt.%20Lett.&volume=38&pages=368-370&publication_year=2013&author=Kats%2CMA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="104"><p class="c-article-references__text" id="ref-CR104">Gu, J. et al. Active control of electromagnetically induced transparency analogue in terahertz metamaterials. <i>Nature Commun.</i> <b>3</b>, 1151 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 104" href="http://scholar.google.com/scholar_lookup?&title=Active%20control%20of%20electromagnetically%20induced%20transparency%20analogue%20in%20terahertz%20metamaterials&journal=Nature%20Commun.&volume=3&publication_year=2012&author=Gu%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="105"><p class="c-article-references__text" id="ref-CR105">Shadrivov, I. V., Kapitanova, P. V., Maslovski, S. I. & Kivshar, Y. S. Metamaterials controlled with light. <i>Phys. Rev. Lett.</i> <b>109</b>, 083902 (2012).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 105" href="http://scholar.google.com/scholar_lookup?&title=Metamaterials%20controlled%20with%20light&journal=Phys.%20Rev.%20Lett.&volume=109&publication_year=2012&author=Shadrivov%2CIV&author=Kapitanova%2CPV&author=Maslovski%2CSI&author=Kivshar%2CYS"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="106"><p class="c-article-references__text" id="ref-CR106">Wang, X., Belyanin, A. A., Crooker, S. A., Mittleman, D. M. & Kono, J. Interference-induced terahertz transparency in a magneto-plasma in a semiconductor. <i>Nature Phys.</i> <b>6</b>, 126–130 (2010).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3cXhtlCrtbw%3D" aria-label="CAS reference 106">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 106" href="http://scholar.google.com/scholar_lookup?&title=Interference-induced%20terahertz%20transparency%20in%20a%20magneto-plasma%20in%20a%20semiconductor&journal=Nature%20Phys.&volume=6&pages=126-130&publication_year=2010&author=Wang%2CX&author=Belyanin%2CAA&author=Crooker%2CSA&author=Mittleman%2CDM&author=Kono%2CJ"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="107"><p class="c-article-references__text" id="ref-CR107">Pryce, I. M., Aydin, K., Kelaita, Y. A., Briggs, R. M. & Atwater, H. A. Highly strained compliant optical metamaterials with large frequency tunability. <i>Nano Lett.</i> <b>10</b>, 4222–4227 (2010).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3cXhtFygsb7P" aria-label="CAS reference 107">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 107" href="http://scholar.google.com/scholar_lookup?&title=Highly%20strained%20compliant%20optical%20metamaterials%20with%20large%20frequency%20tunability&journal=Nano%20Lett.&volume=10&pages=4222-4227&publication_year=2010&author=Pryce%2CIM&author=Aydin%2CK&author=Kelaita%2CYA&author=Briggs%2CRM&author=Atwater%2CHA"> Google Scholar</a> </p></li><li class="c-article-references__item js-c-reading-companion-references-item" data-counter="108"><p class="c-article-references__text" id="ref-CR108">Sun, J., Timurdogan, E., Yaacobi, A., Hosseini, E. S. & Watts, M. R. Large-scale nanophotonic phased array. <i>Nature</i> <b>493</b>, 195–199 (2013).</p><p class="c-article-references__links u-hide-print"><a data-track="click_references" rel="nofollow noopener" data-track-label="link" data-track-item_id="link" data-track-value="cas reference" data-track-action="cas reference" href="/articles/cas-redirect/1:CAS:528:DC%2BC3sXls1Oqtg%3D%3D" aria-label="CAS reference 108">CAS</a> <a data-track="click_references" data-track-action="google scholar reference" data-track-value="google scholar reference" data-track-label="link" data-track-item_id="link" rel="nofollow noopener" aria-label="Google Scholar reference 108" href="http://scholar.google.com/scholar_lookup?&title=Large-scale%20nanophotonic%20phased%20array&journal=Nature&volume=493&pages=195-199&publication_year=2013&author=Sun%2CJ&author=Timurdogan%2CE&author=Yaacobi%2CA&author=Hosseini%2CES&author=Watts%2CMR"> Google Scholar</a> </p></li></ol><p class="c-article-references__download u-hide-print"><a data-track="click" data-track-action="download citation references" data-track-label="link" rel="nofollow" href="https://citation-needed.springer.com/v2/references/10.1038/nmat3839?format=refman&flavour=references">Download references<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-download-medium"></use></svg></a></p></div></div></div></section></div><section data-title="Acknowledgements"><div class="c-article-section" id="Ack1-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Ack1">Acknowledgements</h2><div class="c-article-section__content" id="Ack1-content"><p>The authors acknowledge the contributions of Z. Gaburro, P. Genevet, M. A. Kats, F. Aieta, R. Blanchard, J. Lin, J.-P. Tetienne, G. Aoust, D. Sharma, Z. Yang, S. Ramanathan, M. Mumtaz Qazilbash and D. N. Basov to the research reviewed in this article. Quantum cascade laser materials were provided by Hamamatsu Photonics KK. The authors acknowledge support from the Harvard Nanoscale Science and Engineering Center (NSEC) under contract NSF/PHY 06-46094, and the Center for Nanoscale Systems (CNS) at Harvard University, which is a member of the National Nanotechnology Infrastructure Network (NNIN). This work was supported in part by the Defense Advanced Research Projects Agency (DARPA) N/MEMS S&T Fundamentals program under Grant N66001-10-1-4008 issued by the Space and Naval Warfare Systems Center Pacific (SPAWAR) and by the Air Force Office of Scientific Research under grant number FA9550-12-1-0289. N.Y. acknowledges funding provided by the Fu Foundation School of Engineering and Applied Science, and the Department of Applied Physics and Applied Mathematics, Columbia University.</p></div></div></section><section aria-labelledby="author-information" data-title="Author information"><div class="c-article-section" id="author-information-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="author-information">Author information</h2><div class="c-article-section__content" id="author-information-content"><h3 class="c-article__sub-heading" id="affiliations">Authors and Affiliations</h3><ol class="c-article-author-affiliation__list"><li id="Aff1"><p class="c-article-author-affiliation__address">Department of Applied Physics and Applied Mathematics, Columbia University, New York, 10027, New York, USA</p><p class="c-article-author-affiliation__authors-list">Nanfang Yu</p></li><li id="Aff2"><p class="c-article-author-affiliation__address">School of Engineering and Applied Sciences, Harvard University, Cambridge, 02138, Massachusetts, USA</p><p class="c-article-author-affiliation__authors-list">Federico Capasso</p></li></ol><div class="u-js-hide u-hide-print" data-test="author-info"><span class="c-article__sub-heading">Authors</span><ol class="c-article-authors-search u-list-reset"><li id="auth-Nanfang-Yu-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">Nanfang Yu</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Nanfang%20Yu" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Nanfang%20Yu" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Nanfang%20Yu%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li><li id="auth-Federico-Capasso-Aff2"><span class="c-article-authors-search__title u-h3 js-search-name">Federico Capasso</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?author=Federico%20Capasso" class="c-article-button" data-track="click" data-track-action="author link - publication" data-track-label="link" rel="nofollow">View author publications</a></div><div class="c-article-authors-search__item c-article-authors-search__list-item--right"><p class="search-in-title-js c-article-authors-search__text">You can also search for this author in <span class="c-article-identifiers"><a class="c-article-identifiers__item" href="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=search&term=Federico%20Capasso" data-track="click" data-track-action="author link - pubmed" data-track-label="link" rel="nofollow">PubMed</a><span class="u-hide"> </span><a class="c-article-identifiers__item" href="http://scholar.google.co.uk/scholar?as_q=&num=10&btnG=Search+Scholar&as_epq=&as_oq=&as_eq=&as_occt=any&as_sauthors=%22Federico%20Capasso%22&as_publication=&as_ylo=&as_yhi=&as_allsubj=all&hl=en" data-track="click" data-track-action="author link - scholar" data-track-label="link" rel="nofollow">Google Scholar</a></span></p></div></div></li></ol></div><h3 class="c-article__sub-heading" id="corresponding-author">Corresponding authors</h3><p id="corresponding-author-list">Correspondence to <a id="corresp-c1" href="mailto:ny2214@columbia.edu">Nanfang Yu</a> or <a id="corresp-c2" href="mailto:capasso@seas.harvard.edu">Federico Capasso</a>.</p></div></div></section><section data-title="Ethics declarations"><div class="c-article-section" id="ethics-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="ethics">Ethics declarations</h2><div class="c-article-section__content" id="ethics-content"> <h3 class="c-article__sub-heading">Competing interests</h3> <p>The authors declare no competing financial interests.</p> </div></div></section><section data-title="Rights and permissions"><div class="c-article-section" id="rightslink-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="rightslink">Rights and permissions</h2><div class="c-article-section__content" id="rightslink-content"><p class="c-article-rights"><a data-track="click" data-track-action="view rights and permissions" data-track-label="link" href="https://s100.copyright.com/AppDispatchServlet?title=Flat%20optics%20with%20designer%20metasurfaces&author=Nanfang%20Yu%20et%20al&contentID=10.1038%2Fnmat3839&copyright=Springer%20Nature%20Limited&publication=1476-1122&publicationDate=2014-01-23&publisherName=SpringerNature&orderBeanReset=true">Reprints and permissions</a></p></div></div></section><section aria-labelledby="article-info" data-title="About this article"><div class="c-article-section" id="article-info-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="article-info">About this article</h2><div class="c-article-section__content" id="article-info-content"><div class="c-bibliographic-information"><div class="c-bibliographic-information__column"><h3 class="c-article__sub-heading" id="citeas">Cite this article</h3><p class="c-bibliographic-information__citation">Yu, N., Capasso, F. Flat optics with designer metasurfaces. <i>Nature Mater</i> <b>13</b>, 139–150 (2014). https://doi.org/10.1038/nmat3839</p><p class="c-bibliographic-information__download-citation u-hide-print"><a data-test="citation-link" data-track="click" data-track-action="download article citation" data-track-label="link" data-track-external="" rel="nofollow" href="https://citation-needed.springer.com/v2/references/10.1038/nmat3839?format=refman&flavour=citation">Download citation<svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-download-medium"></use></svg></a></p><ul class="c-bibliographic-information__list" data-test="publication-history"><li class="c-bibliographic-information__list-item"><p>Received<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2013-04-20">20 April 2013</time></span></p></li><li class="c-bibliographic-information__list-item"><p>Accepted<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2013-11-14">14 November 2013</time></span></p></li><li class="c-bibliographic-information__list-item"><p>Published<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2014-01-23">23 January 2014</time></span></p></li><li class="c-bibliographic-information__list-item"><p>Issue Date<span class="u-hide">: </span><span class="c-bibliographic-information__value"><time datetime="2014-02">February 2014</time></span></p></li><li class="c-bibliographic-information__list-item c-bibliographic-information__list-item--full-width"><p><abbr title="Digital Object Identifier">DOI</abbr><span class="u-hide">: </span><span class="c-bibliographic-information__value">https://doi.org/10.1038/nmat3839</span></p></li></ul><div data-component="share-box"><div class="c-article-share-box u-display-none" hidden=""><h3 class="c-article__sub-heading">Share this article</h3><p class="c-article-share-box__description">Anyone you share the following link with will be able to read this content:</p><button class="js-get-share-url c-article-share-box__button" type="button" id="get-share-url" data-track="click" data-track-label="button" data-track-external="" data-track-action="get shareable link">Get shareable link</button><div class="js-no-share-url-container u-display-none" hidden=""><p class="js-c-article-share-box__no-sharelink-info c-article-share-box__no-sharelink-info">Sorry, a shareable link is not currently available for this article.</p></div><div class="js-share-url-container u-display-none" hidden=""><p class="js-share-url c-article-share-box__only-read-input" id="share-url" data-track="click" data-track-label="button" data-track-action="select share url"></p><button class="js-copy-share-url c-article-share-box__button--link-like" type="button" id="copy-share-url" data-track="click" data-track-label="button" data-track-action="copy share url" data-track-external="">Copy to clipboard</button></div><p class="js-c-article-share-box__additional-info c-article-share-box__additional-info"> Provided by the Springer Nature SharedIt content-sharing initiative </p></div></div><div data-component="article-info-list"></div></div></div></div></div></section> </div> </div> </article> </main> <aside class="c-article-extras u-hide-print" aria-label="Article navigation" data-component-reading-companion data-container-type="reading-companion" data-track-component="reading companion"> <div class="js-context-bar-sticky-point-desktop" data-track-context="reading companion"> <noscript> <div class="c-nature-box c-nature-box--side " data-component="entitlement-box"> <div class="js-access-button"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fnmat3839" class="c-article__button" data-test="ra21"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-buy-button"> <a href="#access-options" class="c-article__button c-article__button--inverted" data-test="ra21"> <span>Buy or subscribe</span> </a> </div> </div> </noscript> <div class="c-nature-box__wrapper c-nature-box__wrapper--placeholder"> <div class="c-nature-box c-nature-box--side u-display-none u-hide-print" aria-hidden="true" data-component="entitlement-box" id=entitlement-box-right-column > <p class="c-nature-box__text js-text u-display-none" aria-hidden="true"></p> <div class="js-access-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fnmat3839" class="c-article__button" aria-hidden="true" data-test="ra21" data-track="click_institution_login" data-track-context="reading companion" data-track-action="institution access" data-track-label="button"> <svg class="u-icon" width="18" height="18" aria-hidden="true" focusable="false"><use xlink:href="#icon-institution"></use></svg> <span class="c-article__button-text">Access through your institution</span> </a> </div> <div class="js-change-institution-button u-display-none"> <a href="https://wayf.springernature.com?redirect_uri=https%3A%2F%2Fwww.nature.com%2Farticles%2Fnmat3839" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="change institution" data-track-label="button"> <span class="c-article__button-text">Change institution</span> </a> </div> <div class="js-buy-button u-display-none"> <a href="#access-options" class="c-article__button c-article__button--inverted" aria-hidden="true" data-test="ra21" data-track="click" data-track-action="buy or subscribe" data-track-label="button"> <span>Buy or subscribe</span> </a> </div> </div> </div> </div> <div class="c-article-associated-content__container"> <section> <h2 class="c-article-associated-content__title u-mb-24">Associated content</h2> <div class="c-article-associated-content__collection collection u-mb-24"> <section> <p class="c-article-associated-content__collection-label u-sans-serif u-text-bold u-mb-8">Collection</p> <h3 class="c-article-associated-content__collection-title u-h3 u-mb-8"> <a href="https://link.springer.com/collections/kwhbfh" class="u-link-inherit" data-track="click" data-track-action="view collection" data-track-category="associated content" data-track-label="collection" data-test="collection-link">International Year of Light 2015</a> </h3> </section> </div> </section> </div> <script> window.dataLayer = window.dataLayer || []; window.dataLayer[0] = window.dataLayer[0] || {}; window.dataLayer[0].content = window.dataLayer[0].content || {}; window.dataLayer[0].content.associatedContentTypes = "collection"; window.dataLayer[0].content.collections = "kwhbfh"; </script> <div class="c-reading-companion"> <div class="c-reading-companion__sticky" data-component="reading-companion-sticky" data-test="reading-companion-sticky"> <div class="c-reading-companion__panel c-reading-companion__sections c-reading-companion__panel--active" id="tabpanel-sections"> <div class="u-lazy-ad-wrapper u-mt-16 u-hide" data-component-mpu> <div class="c-ad c-ad--300x250"> <div class="c-ad__inner"> <p class="c-ad__label">Advertisement</p> <div id="div-gpt-ad-right-2" class="div-gpt-ad advert medium-rectangle js-ad text-center hide-print grade-c-hide" data-ad-type="right" data-test="right-ad" data-pa11y-ignore data-gpt data-gpt-unitpath="/285/materials.nature.com/article" data-gpt-sizes="300x250" data-gpt-targeting="type=article;pos=right;artid=nmat3839;doi=10.1038/nmat3839;subjmeta=1015,399,624,639;kwrd=Metamaterials"> <noscript> <a href="//pubads.g.doubleclick.net/gampad/jump?iu=/285/materials.nature.com/article&sz=300x250&c=1958111045&t=pos%3Dright%26type%3Darticle%26artid%3Dnmat3839%26doi%3D10.1038/nmat3839%26subjmeta%3D1015,399,624,639%26kwrd%3DMetamaterials"> <img data-test="gpt-advert-fallback-img" src="//pubads.g.doubleclick.net/gampad/ad?iu=/285/materials.nature.com/article&sz=300x250&c=1958111045&t=pos%3Dright%26type%3Darticle%26artid%3Dnmat3839%26doi%3D10.1038/nmat3839%26subjmeta%3D1015,399,624,639%26kwrd%3DMetamaterials" alt="Advertisement" width="300" height="250"></a> </noscript> </div> </div> </div> </div> </div> <div class="c-reading-companion__panel c-reading-companion__figures c-reading-companion__panel--full-width" id="tabpanel-figures"></div> <div class="c-reading-companion__panel c-reading-companion__references c-reading-companion__panel--full-width" id="tabpanel-references"></div> </div> </div> </aside> </div> <nav class="c-header__dropdown" aria-labelledby="Explore-content" data-test="Explore-content" id="explore" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 id="Explore-content" class="c-header__heading c-header__heading--js-hide">Explore content</h2> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="/nmat/research-articles" data-track="click" data-track-action="research articles" data-track-label="link" data-test="explore-nav-item"> Research articles </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/reviews-and-analysis" data-track="click" data-track-action="reviews & analysis" data-track-label="link" data-test="explore-nav-item"> Reviews & Analysis </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/news-and-comment" data-track="click" data-track-action="news & comment" data-track-label="link" data-test="explore-nav-item"> News & Comment </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/current-issue" data-track="click" data-track-action="current issue" data-track-label="link" data-test="explore-nav-item"> Current issue </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/collections" data-track="click" data-track-action="collections" data-track-label="link" data-test="explore-nav-item"> Collections </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/browse-subjects" data-track="click" data-track-action="subjects" data-track-label="link" data-test="explore-nav-item"> Subjects </a> </li> </ul> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="https://www.facebook.com/naturematerials" data-track="click" data-track-action="facebook" data-track-label="link">Follow us on Facebook </a> </li> <li class="c-header__item"> <a class="c-header__link" href="https://twitter.com/NatureMaterials" data-track="click" data-track-action="twitter" data-track-label="link">Follow us on Twitter </a> </li> <li class="c-header__item c-header__item--hide-lg"> <a data-test="subscribe-button" class="c-header__link" href="https://www.nature.com/nmat/subscribe" data-track="click" data-track-action="subscribe" data-track-label="link"> <span>Subscribe</span> </a> </li> <li class="c-header__item c-header__item--hide-lg"> <a class="c-header__link" href="https://www.nature.com/my-account/alerts/subscribe-journal?list-id=57" rel="nofollow" data-track="click" data-track-action="Sign up for alerts" data-track-external data-track-label="link (mobile dropdown)">Sign up for alerts<svg role="img" aria-hidden="true" focusable="false" height="18" viewBox="0 0 18 18" width="18" xmlns="http://www.w3.org/2000/svg"><path d="m4 10h2.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-3.08578644l-1.12132034 1.1213203c-.18753638.1875364-.29289322.4418903-.29289322.7071068v.1715729h14v-.1715729c0-.2652165-.1053568-.5195704-.2928932-.7071068l-1.7071068-1.7071067v-3.4142136c0-2.76142375-2.2385763-5-5-5-2.76142375 0-5 2.23857625-5 5zm3 4c0 1.1045695.8954305 2 2 2s2-.8954305 2-2zm-5 0c-.55228475 0-1-.4477153-1-1v-.1715729c0-.530433.21071368-1.0391408.58578644-1.4142135l1.41421356-1.4142136v-3c0-3.3137085 2.6862915-6 6-6s6 2.6862915 6 6v3l1.4142136 1.4142136c.3750727.3750727.5857864.8837805.5857864 1.4142135v.1715729c0 .5522847-.4477153 1-1 1h-4c0 1.6568542-1.3431458 3-3 3-1.65685425 0-3-1.3431458-3-3z" fill="#fff"/></svg> </a> </li> <li class="c-header__item c-header__item--hide-lg"> <a class="c-header__link" href="https://www.nature.com/nmat.rss" data-track="click" data-track-action="rss feed" data-track-label="link"> <span>RSS feed</span> </a> </li> </ul> </div> </nav> <nav class="c-header__dropdown" aria-labelledby="About-the-journal" id="about-the-journal" data-test="about-the-journal" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 id="About-the-journal" class="c-header__heading c-header__heading--js-hide">About the journal</h2> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="/nmat/aims" data-track="click" data-track-action="aims & scope" data-track-label="link"> Aims & Scope </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/our-publishing-models" data-track="click" data-track-action="our publishing models" data-track-label="link"> Our publishing models </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/journal-information" data-track="click" data-track-action="journal information" data-track-label="link"> Journal Information </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/journal-impact" data-track="click" data-track-action="journal metrics" data-track-label="link"> Journal Metrics </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/editors" data-track="click" data-track-action="about the editors" data-track-label="link"> About the Editors </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/research-cross-journal-editorial-team" data-track="click" data-track-action="research cross-journal editorial team" data-track-label="link"> Research Cross-Journal Editorial Team </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/reviews-cross-journal-editorial-team" data-track="click" data-track-action="reviews cross-journal editorial team" data-track-label="link"> Reviews Cross-Journal Editorial Team </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/editorial-values-statement" data-track="click" data-track-action="editorial values statement" data-track-label="link"> Editorial Values Statement </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/editorial-policies" data-track="click" data-track-action="editorial policies" data-track-label="link"> Editorial Policies </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/content" data-track="click" data-track-action="content types" data-track-label="link"> Content Types </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/web-feeds" data-track="click" data-track-action="web feeds" data-track-label="link"> Web Feeds </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/contact" data-track="click" data-track-action="contact" data-track-label="link"> Contact </a> </li> </ul> </div> </nav> <nav class="c-header__dropdown" aria-labelledby="Publish-with-us-label" id="publish-with-us" data-test="publish-with-us" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 id="Publish-with-us-label" class="c-header__heading c-header__heading--js-hide">Publish with us</h2> <ul class="c-header__list c-header__list--js-stack"> <li class="c-header__item"> <a class="c-header__link" href="/nmat/submission-guidelines" data-track="click" data-track-action="submission guidelines" data-track-label="link"> Submission Guidelines </a> </li> <li class="c-header__item"> <a class="c-header__link" href="/nmat/for-reviewers" data-track="click" data-track-action="for reviewers" data-track-label="link"> For Reviewers </a> </li> <li class="c-header__item"> <a class="c-header__link" data-test="nature-author-services" data-track="nav_language_services" data-track-context="header publish with us dropdown menu" data-track-action="manuscript author services" data-track-label="link manuscript author services" href="https://authorservices.springernature.com/go/sn/?utm_source=For+Authors&utm_medium=Website_Nature&utm_campaign=Platform+Experimentation+2022&utm_id=PE2022"> Language editing services </a> </li> <li class="c-header__item c-header__item--keyline"> <a class="c-header__link" href="https://mts-nm.nature.com/cgi-bin/main.plex?form_type=home&from_idp=1" data-track="click_submit_manuscript" data-track-context="submit link in Nature header dropdown menu" data-track-action="submit manuscript" data-track-label="link (publish with us dropdown menu)" data-track-external data-gtm-criteo="submit-manuscript">Submit manuscript<svg role="img" aria-hidden="true" focusable="false" height="18" viewBox="0 0 18 18" width="18" xmlns="http://www.w3.org/2000/svg"><path d="m15 0c1.1045695 0 2 .8954305 2 2v5.5c0 .27614237-.2238576.5-.5.5s-.5-.22385763-.5-.5v-5.5c0-.51283584-.3860402-.93550716-.8833789-.99327227l-.1166211-.00672773h-9v3c0 1.1045695-.8954305 2-2 2h-3v10c0 .5128358.38604019.9355072.88337887.9932723l.11662113.0067277h7.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-7.5c-1.1045695 0-2-.8954305-2-2v-10.17157288c0-.53043297.21071368-1.0391408.58578644-1.41421356l3.82842712-3.82842712c.37507276-.37507276.88378059-.58578644 1.41421356-.58578644zm-.5442863 8.18867991 3.3545404 3.35454039c.2508994.2508994.2538696.6596433.0035959.909917-.2429543.2429542-.6561449.2462671-.9065387-.0089489l-2.2609825-2.3045251.0010427 7.2231989c0 .3569916-.2898381.6371378-.6473715.6371378-.3470771 0-.6473715-.2852563-.6473715-.6371378l-.0010428-7.2231995-2.2611222 2.3046654c-.2531661.2580415-.6562868.2592444-.9065605.0089707-.24295423-.2429542-.24865597-.6576651.0036132-.9099343l3.3546673-3.35466731c.2509089-.25090888.6612706-.25227691.9135302-.00001728zm-.9557137-3.18867991c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-6c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm-8.5-3.587-3.587 3.587h2.587c.55228475 0 1-.44771525 1-1zm8.5 1.587c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-6c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill="#fff"/></svg> </a> </li> </ul> </div> </nav> <div id="search-menu" class="c-header__dropdown c-header__dropdown--full-width" data-track-component="nature-150-split-header"> <div class="c-header__container"> <h2 class="c-header__visually-hidden">Search</h2> <form class="c-header__search-form" action="/search" method="get" role="search" autocomplete="off" data-test="inline-search"> <label class="c-header__heading" for="keywords">Search articles by subject, keyword or author</label> <div class="c-header__search-layout c-header__search-layout--max-width"> <div> <input type="text" required="" class="c-header__input" id="keywords" name="q" value=""> </div> <div class="c-header__search-layout"> <div> <label for="results-from" class="c-header__visually-hidden">Show results from</label> <select id="results-from" name="journal" class="c-header__select"> <option value="" selected>All journals</option> <option value="nmat">This journal</option> </select> </div> <div> <button type="submit" class="c-header__search-button">Search</button> </div> </div> </div> </form> <div class="c-header__flush"> <a class="c-header__link" href="/search/advanced" data-track="click" data-track-action="advanced search" data-track-label="link"> Advanced search </a> </div> <h3 class="c-header__heading c-header__heading--keyline">Quick links</h3> <ul class="c-header__list"> <li><a class="c-header__link" href="/subjects" data-track="click" data-track-action="explore articles by subject" data-track-label="link">Explore articles by subject</a></li> <li><a class="c-header__link" href="/naturecareers" data-track="click" data-track-action="find a job" data-track-label="link">Find a job</a></li> <li><a class="c-header__link" href="/authors/index.html" data-track="click" data-track-action="guide to authors" data-track-label="link">Guide to authors</a></li> <li><a class="c-header__link" href="/authors/editorial_policies/" data-track="click" data-track-action="editorial policies" data-track-label="link">Editorial policies</a></li> </ul> </div> </div> <footer class="composite-layer" itemscope itemtype="http://schema.org/Periodical"> <meta itemprop="publisher" content="Springer Nature"> <div class="u-mt-16 u-mb-16"> <div class="u-container"> <div class="u-display-flex u-flex-wrap u-justify-content-space-between"> <p class="c-meta u-ma-0 u-flex-shrink"> <span class="c-meta__item"> Nature Materials (<i>Nat. Mater.</i>) </span> <span class="c-meta__item"> <abbr title="International Standard Serial Number">ISSN</abbr> <span itemprop="onlineIssn">1476-4660</span> (online) </span> <span class="c-meta__item"> <abbr title="International Standard Serial Number">ISSN</abbr> <span itemprop="printIssn">1476-1122</span> (print) </span> </p> </div> </div> </div> <div class="c-footer"> <div class="u-hide-print" data-track-component="footer"> <h2 class="u-visually-hidden">nature.com sitemap</h2> <div class="c-footer__container"> <div class="c-footer__grid c-footer__group--separator"> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">About Nature Portfolio</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/npg_/company_info/index.html" data-track="click" data-track-action="about us" data-track-label="link">About us</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/npg_/press_room/press_releases.html" data-track="click" data-track-action="press releases" data-track-label="link">Press releases</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://press.nature.com/" data-track="click" data-track-action="press office" data-track-label="link">Press office</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://support.nature.com/support/home" data-track="click" data-track-action="contact us" data-track-label="link">Contact us</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Discover content</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/siteindex" data-track="click" data-track-action="journals a-z" data-track-label="link">Journals A-Z</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/subjects" data-track="click" data-track-action="article by subject" data-track-label="link">Articles by subject</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.protocols.io/" data-track="click" data-track-action="protocols.io" data-track-label="link">protocols.io</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.natureindex.com/" data-track="click" data-track-action="nature index" data-track-label="link">Nature Index</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Publishing policies</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/authors/editorial_policies" data-track="click" data-track-action="Nature portfolio policies" data-track-label="link">Nature portfolio policies</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/nature-research/open-access" data-track="click" data-track-action="open access" data-track-label="link">Open access</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Author & Researcher services</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/reprints" data-track="click" data-track-action="reprints and permissions" data-track-label="link">Reprints & permissions</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/authors/research-data" data-track="click" data-track-action="data research service" data-track-label="link">Research data</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://authorservices.springernature.com/language-editing/" data-track="click" data-track-action="language editing" data-track-label="link">Language editing</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://authorservices.springernature.com/scientific-editing/" data-track="click" data-track-action="scientific editing" data-track-label="link">Scientific editing</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://masterclasses.nature.com/" data-track="click" data-track-action="nature masterclasses" data-track-label="link">Nature Masterclasses</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://solutions.springernature.com/" data-track="click" data-track-action="research solutions" data-track-label="link">Research Solutions</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Libraries & institutions</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/librarians/tools-services" data-track="click" data-track-action="librarian service and tools" data-track-label="link">Librarian service & tools</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/librarians/manage-your-account/librarianportal" data-track="click" data-track-action="librarian portal" data-track-label="link">Librarian portal</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/openresearch/about-open-access/information-for-institutions" data-track="click" data-track-action="open research" data-track-label="link">Open research</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/gp/librarians/recommend-to-your-library" data-track="click" data-track-action="Recommend to library" data-track-label="link">Recommend to library</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Advertising & partnerships</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/product/digital-advertising/" data-track="click" data-track-action="advertising" data-track-label="link">Advertising</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/" data-track="click" data-track-action="partnerships and services" data-track-label="link">Partnerships & Services</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/media-kits/" data-track="click" data-track-action="media kits" data-track-label="link">Media kits</a> </li> <li class="c-footer__item"><a class="c-footer__link" href="https://partnerships.nature.com/product/branded-content-native-advertising/" data-track-action="branded content" data-track-label="link">Branded content</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Professional development</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/naturecareers/" data-track="click" data-track-action="nature careers" data-track-label="link">Nature Careers</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://conferences.nature.com" data-track="click" data-track-action="nature conferences" data-track-label="link">Nature<span class="u-visually-hidden"> </span> Conferences</a></li> </ul> </div> <div class="c-footer__group"> <h3 class="c-footer__heading u-mt-0">Regional websites</h3> <ul class="c-footer__list"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/natafrica" data-track="click" data-track-action="nature africa" data-track-label="link">Nature Africa</a></li> <li class="c-footer__item"><a class="c-footer__link" href="http://www.naturechina.com" data-track="click" data-track-action="nature china" data-track-label="link">Nature China</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/nindia" data-track="click" data-track-action="nature india" data-track-label="link">Nature India</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/natitaly" data-track="click" data-track-action="nature Italy" data-track-label="link">Nature Italy</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.natureasia.com/ja-jp" data-track="click" data-track-action="nature japan" data-track-label="link">Nature Japan</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/nmiddleeast" data-track="click" data-track-action="nature middle east" data-track-label="link">Nature Middle East</a></li> </ul> </div> </div> </div> <div class="c-footer__container"> <ul class="c-footer__links"> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/privacy" data-track="click" data-track-action="privacy policy" data-track-label="link">Privacy Policy</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/cookies" data-track="click" data-track-action="use of cookies" data-track-label="link">Use of cookies</a></li> <li class="c-footer__item"> <button class="optanon-toggle-display c-footer__link" onclick="javascript:;" data-cc-action="preferences" data-track="click" data-track-action="manage cookies" data-track-label="link">Your privacy choices/Manage cookies </button> </li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/legal-notice" data-track="click" data-track-action="legal notice" data-track-label="link">Legal notice</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/accessibility-statement" data-track="click" data-track-action="accessibility statement" data-track-label="link">Accessibility statement</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.nature.com/info/terms-and-conditions" data-track="click" data-track-action="terms and conditions" data-track-label="link">Terms & Conditions</a></li> <li class="c-footer__item"><a class="c-footer__link" href="https://www.springernature.com/ccpa" data-track="click" data-track-action="california privacy statement" data-track-label="link">Your US state privacy rights</a></li> </ul> </div> </div> <div class="c-footer__container"> <a href="https://www.springernature.com/" class="c-footer__link"> <img src="/static/images/logos/sn-logo-white-ea63208b81.svg" alt="Springer Nature" loading="lazy" width="200" height="20"/> </a> <p class="c-footer__legal" data-test="copyright">© 2025 Springer Nature Limited</p> </div> </div> <div class="u-visually-hidden" aria-hidden="true"> <?xml version="1.0" encoding="UTF-8"?><!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><defs><path id="a" d="M0 .74h56.72v55.24H0z"/></defs><symbol id="icon-access" viewBox="0 0 18 18"><path d="m14 8c.5522847 0 1 .44771525 1 1v7h2.5c.2761424 0 .5.2238576.5.5v1.5h-18v-1.5c0-.2761424.22385763-.5.5-.5h2.5v-7c0-.55228475.44771525-1 1-1s1 .44771525 1 1v6.9996556h8v-6.9996556c0-.55228475.4477153-1 1-1zm-8 0 2 1v5l-2 1zm6 0v7l-2-1v-5zm-2.42653766-7.59857636 7.03554716 4.92488299c.4162533.29137735.5174853.86502537.226108 1.28127873-.1721584.24594054-.4534847.39241464-.7536934.39241464h-14.16284822c-.50810197 0-.92-.41189803-.92-.92 0-.30020869.1464741-.58153499.39241464-.75369337l7.03554714-4.92488299c.34432015-.2410241.80260453-.2410241 1.14692468 0zm-.57346234 2.03988748-3.65526982 2.55868888h7.31053962z" fill-rule="evenodd"/></symbol><symbol id="icon-account" viewBox="0 0 18 18"><path d="m10.2379028 16.9048051c1.3083556-.2032362 2.5118471-.7235183 3.5294683-1.4798399-.8731327-2.5141501-2.0638925-3.935978-3.7673711-4.3188248v-1.27684611c1.1651924-.41183641 2-1.52307546 2-2.82929429 0-1.65685425-1.3431458-3-3-3-1.65685425 0-3 1.34314575-3 3 0 1.30621883.83480763 2.41745788 2 2.82929429v1.27684611c-1.70347856.3828468-2.89423845 1.8046747-3.76737114 4.3188248 1.01762123.7563216 2.22111275 1.2766037 3.52946833 1.4798399.40563808.0629726.81921174.0951949 1.23790281.0951949s.83226473-.0322223 1.2379028-.0951949zm4.3421782-2.1721994c1.4927655-1.4532925 2.419919-3.484675 2.419919-5.7326057 0-4.418278-3.581722-8-8-8s-8 3.581722-8 8c0 2.2479307.92715352 4.2793132 2.41991895 5.7326057.75688473-2.0164459 1.83949951-3.6071894 3.48926591-4.3218837-1.14534283-.70360829-1.90918486-1.96796271-1.90918486-3.410722 0-2.209139 1.790861-4 4-4s4 1.790861 4 4c0 1.44275929-.763842 2.70711371-1.9091849 3.410722 1.6497664.7146943 2.7323812 2.3054378 3.4892659 4.3218837zm-5.580081 3.2673943c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9z" fill-rule="evenodd"/></symbol><symbol id="icon-alert" viewBox="0 0 18 18"><path d="m4 10h2.5c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-3.08578644l-1.12132034 1.1213203c-.18753638.1875364-.29289322.4418903-.29289322.7071068v.1715729h14v-.1715729c0-.2652165-.1053568-.5195704-.2928932-.7071068l-1.7071068-1.7071067v-3.4142136c0-2.76142375-2.2385763-5-5-5-2.76142375 0-5 2.23857625-5 5zm3 4c0 1.1045695.8954305 2 2 2s2-.8954305 2-2zm-5 0c-.55228475 0-1-.4477153-1-1v-.1715729c0-.530433.21071368-1.0391408.58578644-1.4142135l1.41421356-1.4142136v-3c0-3.3137085 2.6862915-6 6-6s6 2.6862915 6 6v3l1.4142136 1.4142136c.3750727.3750727.5857864.8837805.5857864 1.4142135v.1715729c0 .5522847-.4477153 1-1 1h-4c0 1.6568542-1.3431458 3-3 3-1.65685425 0-3-1.3431458-3-3z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-broad" viewBox="0 0 16 16"><path d="m6.10307866 2.97190702v7.69043288l2.44965196-2.44676915c.38776071-.38730439 1.0088052-.39493524 1.38498697-.01919617.38609051.38563612.38643641 1.01053024-.00013864 1.39665039l-4.12239817 4.11754683c-.38616704.3857126-1.01187344.3861062-1.39846576-.0000311l-4.12258206-4.11773056c-.38618426-.38572979-.39254614-1.00476697-.01636437-1.38050605.38609047-.38563611 1.01018509-.38751562 1.4012233.00306241l2.44985644 2.4469734v-8.67638639c0-.54139983.43698413-.98042709.98493125-.98159081l7.89910522-.0043627c.5451687 0 .9871152.44142642.9871152.98595351s-.4419465.98595351-.9871152.98595351z" fill-rule="evenodd" transform="matrix(-1 0 0 -1 14 15)"/></symbol><symbol id="icon-arrow-down" viewBox="0 0 16 16"><path d="m3.28337502 11.5302405 4.03074001 4.176208c.37758093.3912076.98937525.3916069 1.367372-.0000316l4.03091977-4.1763942c.3775978-.3912252.3838182-1.0190815.0160006-1.4001736-.3775061-.39113013-.9877245-.39303641-1.3700683.003106l-2.39538585 2.4818345v-11.6147896l-.00649339-.11662112c-.055753-.49733869-.46370161-.88337888-.95867408-.88337888-.49497246 0-.90292107.38604019-.95867408.88337888l-.00649338.11662112v11.6147896l-2.39518594-2.4816273c-.37913917-.39282218-.98637524-.40056175-1.35419292-.0194697-.37750607.3911302-.37784433 1.0249269.00013556 1.4165479z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-left" viewBox="0 0 16 16"><path d="m4.46975946 3.28337502-4.17620792 4.03074001c-.39120768.37758093-.39160691.98937525.0000316 1.367372l4.1763942 4.03091977c.39122514.3775978 1.01908149.3838182 1.40017357.0160006.39113012-.3775061.3930364-.9877245-.00310603-1.3700683l-2.48183446-2.39538585h11.61478958l.1166211-.00649339c.4973387-.055753.8833789-.46370161.8833789-.95867408 0-.49497246-.3860402-.90292107-.8833789-.95867408l-.1166211-.00649338h-11.61478958l2.4816273-2.39518594c.39282216-.37913917.40056173-.98637524.01946965-1.35419292-.39113012-.37750607-1.02492687-.37784433-1.41654791.00013556z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-right" viewBox="0 0 16 16"><path d="m11.5302405 12.716625 4.176208-4.03074003c.3912076-.37758093.3916069-.98937525-.0000316-1.367372l-4.1763942-4.03091981c-.3912252-.37759778-1.0190815-.38381821-1.4001736-.01600053-.39113013.37750607-.39303641.98772445.003106 1.37006824l2.4818345 2.39538588h-11.6147896l-.11662112.00649339c-.49733869.055753-.88337888.46370161-.88337888.95867408 0 .49497246.38604019.90292107.88337888.95867408l.11662112.00649338h11.6147896l-2.4816273 2.39518592c-.39282218.3791392-.40056175.9863753-.0194697 1.3541929.3911302.3775061 1.0249269.3778444 1.4165479-.0001355z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-sub" viewBox="0 0 16 16"><path d="m7.89692134 4.97190702v7.69043288l-2.44965196-2.4467692c-.38776071-.38730434-1.0088052-.39493519-1.38498697-.0191961-.38609047.3856361-.38643643 1.0105302.00013864 1.3966504l4.12239817 4.1175468c.38616704.3857126 1.01187344.3861062 1.39846576-.0000311l4.12258202-4.1177306c.3861843-.3857298.3925462-1.0047669.0163644-1.380506-.3860905-.38563612-1.0101851-.38751563-1.4012233.0030624l-2.44985643 2.4469734v-8.67638639c0-.54139983-.43698413-.98042709-.98493125-.98159081l-7.89910525-.0043627c-.54516866 0-.98711517.44142642-.98711517.98595351s.44194651.98595351.98711517.98595351z" fill-rule="evenodd"/></symbol><symbol id="icon-arrow-up" viewBox="0 0 16 16"><path d="m12.716625 4.46975946-4.03074003-4.17620792c-.37758093-.39120768-.98937525-.39160691-1.367372.0000316l-4.03091981 4.1763942c-.37759778.39122514-.38381821 1.01908149-.01600053 1.40017357.37750607.39113012.98772445.3930364 1.37006824-.00310603l2.39538588-2.48183446v11.61478958l.00649339.1166211c.055753.4973387.46370161.8833789.95867408.8833789.49497246 0 .90292107-.3860402.95867408-.8833789l.00649338-.1166211v-11.61478958l2.39518592 2.4816273c.3791392.39282216.9863753.40056173 1.3541929.01946965.3775061-.39113012.3778444-1.02492687-.0001355-1.41654791z" fill-rule="evenodd"/></symbol><symbol id="icon-article" viewBox="0 0 18 18"><path d="m13 15v-12.9906311c0-.0073595-.0019884-.0093689.0014977-.0093689l-11.00158888.00087166v13.00506804c0 .5482678.44615281.9940603.99415146.9940603h10.27350412c-.1701701-.2941734-.2675644-.6357129-.2675644-1zm-12 .0059397v-13.00506804c0-.5562408.44704472-1.00087166.99850233-1.00087166h11.00299537c.5510129 0 .9985023.45190985.9985023 1.0093689v2.9906311h3v9.9914698c0 1.1065798-.8927712 2.0085302-1.9940603 2.0085302h-12.01187942c-1.09954652 0-1.99406028-.8927712-1.99406028-1.9940603zm13-9.0059397v9c0 .5522847.4477153 1 1 1s1-.4477153 1-1v-9zm-10-2h7v4h-7zm1 1v2h5v-2zm-1 4h7v1h-7zm0 2h7v1h-7zm0 2h7v1h-7z" fill-rule="evenodd"/></symbol><symbol id="icon-audio" viewBox="0 0 18 18"><path d="m13.0957477 13.5588459c-.195279.1937043-.5119137.193729-.7072234.0000551-.1953098-.193674-.1953346-.5077061-.0000556-.7014104 1.0251004-1.0168342 1.6108711-2.3905226 1.6108711-3.85745208 0-1.46604976-.5850634-2.83898246-1.6090736-3.85566829-.1951894-.19379323-.1950192-.50782531.0003802-.70141028.1953993-.19358497.512034-.19341614.7072234.00037709 1.2094886 1.20083761 1.901635 2.8250555 1.901635 4.55670148 0 1.73268608-.6929822 3.35779608-1.9037571 4.55880738zm2.1233994 2.1025159c-.195234.193749-.5118687.1938462-.7072235.0002171-.1953548-.1936292-.1954528-.5076613-.0002189-.7014104 1.5832215-1.5711805 2.4881302-3.6939808 2.4881302-5.96012998 0-2.26581266-.9046382-4.3883241-2.487443-5.95944795-.1952117-.19377107-.1950777-.50780316.0002993-.70141031s.5120117-.19347426.7072234.00029682c1.7683321 1.75528196 2.7800854 4.12911258 2.7800854 6.66056144 0 2.53182498-1.0120556 4.90597838-2.7808529 6.66132328zm-14.21898205-3.6854911c-.5523759 0-1.00016505-.4441085-1.00016505-.991944v-3.96777631c0-.54783558.44778915-.99194407 1.00016505-.99194407h2.0003301l5.41965617-3.8393633c.44948677-.31842296 1.07413994-.21516983 1.39520191.23062232.12116339.16823446.18629727.36981184.18629727.57655577v12.01603479c0 .5478356-.44778914.9919441-1.00016505.9919441-.20845738 0-.41170538-.0645985-.58133413-.184766l-5.41965617-3.8393633zm0-.991944h2.32084805l5.68047235 4.0241292v-12.01603479l-5.68047235 4.02412928h-2.32084805z" fill-rule="evenodd"/></symbol><symbol id="icon-block" viewBox="0 0 24 24"><path d="m0 0h24v24h-24z" fill-rule="evenodd"/></symbol><symbol id="icon-book" viewBox="0 0 18 18"><path d="m4 13v-11h1v11h11v-11h-13c-.55228475 0-1 .44771525-1 1v10.2675644c.29417337-.1701701.63571286-.2675644 1-.2675644zm12 1h-13c-.55228475 0-1 .4477153-1 1s.44771525 1 1 1h13zm0 3h-13c-1.1045695 0-2-.8954305-2-2v-12c0-1.1045695.8954305-2 2-2h13c.5522847 0 1 .44771525 1 1v14c0 .5522847-.4477153 1-1 1zm-8.5-13h6c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-6c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm1 2h4c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-4c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-broad" viewBox="0 0 24 24"><path d="m9.18274226 7.81v7.7999954l2.48162734-2.4816273c.3928221-.3928221 1.0219731-.4005617 1.4030652-.0194696.3911301.3911301.3914806 1.0249268-.0001404 1.4165479l-4.17620796 4.1762079c-.39120769.3912077-1.02508144.3916069-1.41671995-.0000316l-4.1763942-4.1763942c-.39122514-.3912251-.39767006-1.0190815-.01657798-1.4001736.39113012-.3911301 1.02337106-.3930364 1.41951349.0031061l2.48183446 2.4818344v-8.7999954c0-.54911294.4426881-.99439484.99778758-.99557515l8.00221246-.00442485c.5522847 0 1 .44771525 1 1s-.4477153 1-1 1z" fill-rule="evenodd" transform="matrix(-1 0 0 -1 20.182742 24.805206)"/></symbol><symbol id="icon-calendar" viewBox="0 0 18 18"><path d="m12.5 0c.2761424 0 .5.21505737.5.49047852v.50952148h2c1.1072288 0 2 .89451376 2 2v12c0 1.1072288-.8945138 2-2 2h-12c-1.1072288 0-2-.8945138-2-2v-12c0-1.1072288.89451376-2 2-2h1v1h-1c-.55393837 0-1 .44579254-1 1v3h14v-3c0-.55393837-.4457925-1-1-1h-2v1.50952148c0 .27088381-.2319336.49047852-.5.49047852-.2761424 0-.5-.21505737-.5-.49047852v-3.01904296c0-.27088381.2319336-.49047852.5-.49047852zm3.5 7h-14v8c0 .5539384.44579254 1 1 1h12c.5539384 0 1-.4457925 1-1zm-11 6v1h-1v-1zm3 0v1h-1v-1zm3 0v1h-1v-1zm-6-2v1h-1v-1zm3 0v1h-1v-1zm6 0v1h-1v-1zm-3 0v1h-1v-1zm-3-2v1h-1v-1zm6 0v1h-1v-1zm-3 0v1h-1v-1zm-5.5-9c.27614237 0 .5.21505737.5.49047852v.50952148h5v1h-5v1.50952148c0 .27088381-.23193359.49047852-.5.49047852-.27614237 0-.5-.21505737-.5-.49047852v-3.01904296c0-.27088381.23193359-.49047852.5-.49047852z" fill-rule="evenodd"/></symbol><symbol id="icon-cart" viewBox="0 0 18 18"><path d="m5 14c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2-2-.8954305-2-2 .8954305-2 2-2zm10 0c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2-2-.8954305-2-2 .8954305-2 2-2zm-10 1c-.55228475 0-1 .4477153-1 1s.44771525 1 1 1 1-.4477153 1-1-.44771525-1-1-1zm10 0c-.5522847 0-1 .4477153-1 1s.4477153 1 1 1 1-.4477153 1-1-.4477153-1-1-1zm-12.82032249-15c.47691417 0 .88746157.33678127.98070211.80449199l.23823144 1.19501025 13.36277974.00045554c.5522847.00001882.9999659.44774934.9999659 1.00004222 0 .07084994-.0075361.14150708-.022474.2107727l-1.2908094 5.98534344c-.1007861.46742419-.5432548.80388386-1.0571651.80388386h-10.24805106c-.59173366 0-1.07142857.4477153-1.07142857 1 0 .5128358.41361449.9355072.94647737.9932723l.1249512.0067277h10.35933776c.2749512 0 .4979349.2228539.4979349.4978051 0 .2749417-.2227336.4978951-.4976753.4980063l-10.35959736.0041886c-1.18346732 0-2.14285714-.8954305-2.14285714-2 0-.6625717.34520317-1.24989198.87690425-1.61383592l-1.63768102-8.19004794c-.01312273-.06561364-.01950005-.131011-.0196107-.19547395l-1.71961253-.00064219c-.27614237 0-.5-.22385762-.5-.5 0-.27614237.22385763-.5.5-.5zm14.53193359 2.99950224h-13.11300004l1.20580469 6.02530174c.11024034-.0163252.22327998-.02480398.33844139-.02480398h10.27064786z"/></symbol><symbol id="icon-chevron-less" viewBox="0 0 10 10"><path d="m5.58578644 4-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" fill-rule="evenodd" transform="matrix(0 -1 -1 0 9 9)"/></symbol><symbol id="icon-chevron-more" viewBox="0 0 10 10"><path d="m5.58578644 6-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4.00000002c-.39052429.3905243-1.02368927.3905243-1.41421356 0s-.39052429-1.02368929 0-1.41421358z" fill-rule="evenodd" transform="matrix(0 1 -1 0 11 1)"/></symbol><symbol id="icon-chevron-right" viewBox="0 0 10 10"><path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/></symbol><symbol id="icon-circle-fill" viewBox="0 0 16 16"><path d="m8 14c-3.3137085 0-6-2.6862915-6-6s2.6862915-6 6-6 6 2.6862915 6 6-2.6862915 6-6 6z" fill-rule="evenodd"/></symbol><symbol id="icon-circle" viewBox="0 0 16 16"><path d="m8 12c2.209139 0 4-1.790861 4-4s-1.790861-4-4-4-4 1.790861-4 4 1.790861 4 4 4zm0 2c-3.3137085 0-6-2.6862915-6-6s2.6862915-6 6-6 6 2.6862915 6 6-2.6862915 6-6 6z" fill-rule="evenodd"/></symbol><symbol id="icon-citation" viewBox="0 0 18 18"><path d="m8.63593473 5.99995183c2.20913897 0 3.99999997 1.79084375 3.99999997 3.99996146 0 1.40730761-.7267788 2.64486871-1.8254829 3.35783281 1.6240224.6764218 2.8754442 2.0093871 3.4610603 3.6412466l-1.0763845.000006c-.5310008-1.2078237-1.5108121-2.1940153-2.7691712-2.7181346l-.79002167-.329052v-1.023992l.63016577-.4089232c.8482885-.5504661 1.3698342-1.4895187 1.3698342-2.51898361 0-1.65683828-1.3431457-2.99996146-2.99999997-2.99996146-1.65685425 0-3 1.34312318-3 2.99996146 0 1.02946491.52154569 1.96851751 1.36983419 2.51898361l.63016581.4089232v1.023992l-.79002171.329052c-1.25835905.5241193-2.23817037 1.5103109-2.76917113 2.7181346l-1.07638453-.000006c.58561612-1.6318595 1.8370379-2.9648248 3.46106024-3.6412466-1.09870405-.7129641-1.82548287-1.9505252-1.82548287-3.35783281 0-2.20911771 1.790861-3.99996146 4-3.99996146zm7.36897597-4.99995183c1.1018574 0 1.9950893.89353404 1.9950893 2.00274083v5.994422c0 1.10608317-.8926228 2.00274087-1.9950893 2.00274087l-3.0049107-.0009037v-1l3.0049107.00091329c.5490631 0 .9950893-.44783123.9950893-1.00275046v-5.994422c0-.55646537-.4450595-1.00275046-.9950893-1.00275046h-14.00982141c-.54906309 0-.99508929.44783123-.99508929 1.00275046v5.9971821c0 .66666024.33333333.99999036 1 .99999036l2-.00091329v1l-2 .0009037c-1 0-2-.99999041-2-1.99998077v-5.9971821c0-1.10608322.8926228-2.00274083 1.99508929-2.00274083zm-8.5049107 2.9999711c.27614237 0 .5.22385547.5.5 0 .2761349-.22385763.5-.5.5h-4c-.27614237 0-.5-.2238651-.5-.5 0-.27614453.22385763-.5.5-.5zm3 0c.2761424 0 .5.22385547.5.5 0 .2761349-.2238576.5-.5.5h-1c-.27614237 0-.5-.2238651-.5-.5 0-.27614453.22385763-.5.5-.5zm4 0c.2761424 0 .5.22385547.5.5 0 .2761349-.2238576.5-.5.5h-2c-.2761424 0-.5-.2238651-.5-.5 0-.27614453.2238576-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-close" viewBox="0 0 16 16"><path d="m2.29679575 12.2772478c-.39658757.3965876-.39438847 1.0328109-.00062148 1.4265779.39651227.3965123 1.03246768.3934888 1.42657791-.0006214l4.27724782-4.27724787 4.2772478 4.27724787c.3965876.3965875 1.0328109.3943884 1.4265779.0006214.3965123-.3965122.3934888-1.0324677-.0006214-1.4265779l-4.27724787-4.2772478 4.27724787-4.27724782c.3965875-.39658757.3943884-1.03281091.0006214-1.42657791-.3965122-.39651226-1.0324677-.39348875-1.4265779.00062148l-4.2772478 4.27724782-4.27724782-4.27724782c-.39658757-.39658757-1.03281091-.39438847-1.42657791-.00062148-.39651226.39651227-.39348875 1.03246768.00062148 1.42657791l4.27724782 4.27724782z" fill-rule="evenodd"/></symbol><symbol id="icon-collections" viewBox="0 0 18 18"><path d="m15 4c1.1045695 0 2 .8954305 2 2v9c0 1.1045695-.8954305 2-2 2h-8c-1.1045695 0-2-.8954305-2-2h1c0 .5128358.38604019.9355072.88337887.9932723l.11662113.0067277h8c.5128358 0 .9355072-.3860402.9932723-.8833789l.0067277-.1166211v-9c0-.51283584-.3860402-.93550716-.8833789-.99327227l-.1166211-.00672773h-1v-1zm-4-3c1.1045695 0 2 .8954305 2 2v9c0 1.1045695-.8954305 2-2 2h-8c-1.1045695 0-2-.8954305-2-2v-9c0-1.1045695.8954305-2 2-2zm0 1h-8c-.51283584 0-.93550716.38604019-.99327227.88337887l-.00672773.11662113v9c0 .5128358.38604019.9355072.88337887.9932723l.11662113.0067277h8c.5128358 0 .9355072-.3860402.9932723-.8833789l.0067277-.1166211v-9c0-.51283584-.3860402-.93550716-.8833789-.99327227zm-1.5 7c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-5c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm0-2c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-5c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm0-2c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-5c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-compare" viewBox="0 0 18 18"><path d="m12 3c3.3137085 0 6 2.6862915 6 6s-2.6862915 6-6 6c-1.0928452 0-2.11744941-.2921742-2.99996061-.8026704-.88181407.5102749-1.90678042.8026704-3.00003939.8026704-3.3137085 0-6-2.6862915-6-6s2.6862915-6 6-6c1.09325897 0 2.11822532.29239547 3.00096303.80325037.88158756-.51107621 1.90619177-.80325037 2.99903697-.80325037zm-6 1c-2.76142375 0-5 2.23857625-5 5 0 2.7614237 2.23857625 5 5 5 .74397391 0 1.44999672-.162488 2.08451611-.4539116-1.27652344-1.1000812-2.08451611-2.7287264-2.08451611-4.5460884s.80799267-3.44600721 2.08434391-4.5463015c-.63434719-.29121054-1.34037-.4536985-2.08434391-.4536985zm6 0c-.7439739 0-1.4499967.16248796-2.08451611.45391156 1.27652341 1.10008123 2.08451611 2.72872644 2.08451611 4.54608844s-.8079927 3.4460072-2.08434391 4.5463015c.63434721.2912105 1.34037001.4536985 2.08434391.4536985 2.7614237 0 5-2.2385763 5-5 0-2.76142375-2.2385763-5-5-5zm-1.4162763 7.0005324h-3.16744736c.15614659.3572676.35283837.6927622.58425872 1.0006671h1.99892988c.23142036-.3079049.42811216-.6433995.58425876-1.0006671zm.4162763-2.0005324h-4c0 .34288501.0345146.67770871.10025909 1.0011864h3.79948181c.0657445-.32347769.1002591-.65830139.1002591-1.0011864zm-.4158423-1.99953894h-3.16831543c-.13859957.31730812-.24521946.651783-.31578599.99935097h3.79988742c-.0705665-.34756797-.1771864-.68204285-.315786-.99935097zm-1.58295822-1.999926-.08316107.06199199c-.34550042.27081213-.65446126.58611297-.91825862.93727862h2.00044041c-.28418626-.37830727-.6207872-.71499149-.99902072-.99927061z" fill-rule="evenodd"/></symbol><symbol id="icon-download-file" viewBox="0 0 18 18"><path d="m10.0046024 0c.5497429 0 1.3179837.32258606 1.707238.71184039l4.5763192 4.57631922c.3931386.39313859.7118404 1.16760135.7118404 1.71431368v8.98899651c0 1.1092806-.8945138 2.0085302-1.9940603 2.0085302h-12.01187942c-1.10128908 0-1.99406028-.8926228-1.99406028-1.9950893v-14.00982141c0-1.10185739.88743329-1.99508929 1.99961498-1.99508929zm0 1h-7.00498742c-.55709576 0-.99961498.44271433-.99961498.99508929v14.00982141c0 .5500396.44491393.9950893.99406028.9950893h12.01187942c.5463747 0 .9940603-.4506622.9940603-1.0085302v-8.98899651c0-.28393444-.2150684-.80332809-.4189472-1.0072069l-4.5763192-4.57631922c-.2038461-.20384606-.718603-.41894717-1.0001312-.41894717zm-1.5046024 4c.27614237 0 .5.21637201.5.49209595v6.14827645l1.7462789-1.77990922c.1933927-.1971171.5125222-.19455839.7001689-.0069117.1932998.19329992.1910058.50899492-.0027774.70277812l-2.59089271 2.5908927c-.19483374.1948337-.51177825.1937771-.70556873-.0000133l-2.59099079-2.5909908c-.19484111-.1948411-.19043735-.5151448-.00279066-.70279146.19329987-.19329987.50465175-.19237083.70018565.00692852l1.74638684 1.78001764v-6.14827695c0-.27177709.23193359-.49209595.5-.49209595z" fill-rule="evenodd"/></symbol><symbol id="icon-download" viewBox="0 0 16 16"><path d="m12.9975267 12.999368c.5467123 0 1.0024733.4478567 1.0024733 1.000316 0 .5563109-.4488226 1.000316-1.0024733 1.000316h-9.99505341c-.54671233 0-1.00247329-.4478567-1.00247329-1.000316 0-.5563109.44882258-1.000316 1.00247329-1.000316zm-4.9975267-11.999368c.55228475 0 1 .44497754 1 .99589209v6.80214418l2.4816273-2.48241149c.3928222-.39294628 1.0219732-.4006883 1.4030652-.01947579.3911302.39125371.3914806 1.02525073-.0001404 1.41699553l-4.17620792 4.17752758c-.39120769.3913313-1.02508144.3917306-1.41671995-.0000316l-4.17639421-4.17771394c-.39122513-.39134876-.39767006-1.01940351-.01657797-1.40061601.39113012-.39125372 1.02337105-.3931606 1.41951349.00310701l2.48183446 2.48261871v-6.80214418c0-.55001601.44386482-.99589209 1-.99589209z" fill-rule="evenodd"/></symbol><symbol id="icon-editors" viewBox="0 0 18 18"><path d="m8.72592184 2.54588137c-.48811714-.34391207-1.08343326-.54588137-1.72592184-.54588137-1.65685425 0-3 1.34314575-3 3 0 1.02947485.5215457 1.96853646 1.3698342 2.51900785l.6301658.40892721v1.02400182l-.79002171.32905522c-1.93395773.8055207-3.20997829 2.7024791-3.20997829 4.8180274v.9009805h-1v-.9009805c0-2.5479714 1.54557359-4.79153984 3.82548288-5.7411543-1.09870406-.71297106-1.82548288-1.95054399-1.82548288-3.3578652 0-2.209139 1.790861-4 4-4 1.09079823 0 2.07961816.43662103 2.80122451 1.1446278-.37707584.09278571-.7373238.22835063-1.07530267.40125357zm-2.72592184 14.45411863h-1v-.9009805c0-2.5479714 1.54557359-4.7915398 3.82548288-5.7411543-1.09870406-.71297106-1.82548288-1.95054399-1.82548288-3.3578652 0-2.209139 1.790861-4 4-4s4 1.790861 4 4c0 1.40732121-.7267788 2.64489414-1.8254829 3.3578652 2.2799093.9496145 3.8254829 3.1931829 3.8254829 5.7411543v.9009805h-1v-.9009805c0-2.1155483-1.2760206-4.0125067-3.2099783-4.8180274l-.7900217-.3290552v-1.02400184l.6301658-.40892721c.8482885-.55047139 1.3698342-1.489533 1.3698342-2.51900785 0-1.65685425-1.3431458-3-3-3-1.65685425 0-3 1.34314575-3 3 0 1.02947485.5215457 1.96853646 1.3698342 2.51900785l.6301658.40892721v1.02400184l-.79002171.3290552c-1.93395773.8055207-3.20997829 2.7024791-3.20997829 4.8180274z" fill-rule="evenodd"/></symbol><symbol id="icon-email" viewBox="0 0 18 18"><path d="m16.0049107 2c1.1018574 0 1.9950893.89706013 1.9950893 2.00585866v9.98828264c0 1.1078052-.8926228 2.0058587-1.9950893 2.0058587h-14.00982141c-1.10185739 0-1.99508929-.8970601-1.99508929-2.0058587v-9.98828264c0-1.10780515.8926228-2.00585866 1.99508929-2.00585866zm0 1h-14.00982141c-.54871518 0-.99508929.44887827-.99508929 1.00585866v9.98828264c0 .5572961.44630695 1.0058587.99508929 1.0058587h14.00982141c.5487152 0 .9950893-.4488783.9950893-1.0058587v-9.98828264c0-.55729607-.446307-1.00585866-.9950893-1.00585866zm-.0049107 2.55749512v1.44250488l-7 4-7-4v-1.44250488l7 4z" fill-rule="evenodd"/></symbol><symbol id="icon-error" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm2.8630343 4.71100931-2.8630343 2.86303426-2.86303426-2.86303426c-.39658757-.39658757-1.03281091-.39438847-1.4265779-.00062147-.39651227.39651226-.39348876 1.03246767.00062147 1.4265779l2.86303426 2.86303426-2.86303426 2.8630343c-.39658757.3965875-.39438847 1.0328109-.00062147 1.4265779.39651226.3965122 1.03246767.3934887 1.4265779-.0006215l2.86303426-2.8630343 2.8630343 2.8630343c.3965875.3965876 1.0328109.3943885 1.4265779.0006215.3965122-.3965123.3934887-1.0324677-.0006215-1.4265779l-2.8630343-2.8630343 2.8630343-2.86303426c.3965876-.39658757.3943885-1.03281091.0006215-1.4265779-.3965123-.39651227-1.0324677-.39348876-1.4265779.00062147z" fill-rule="evenodd"/></symbol><symbol id="icon-ethics" viewBox="0 0 18 18"><path d="m6.76384967 1.41421356.83301651-.8330165c.77492941-.77492941 2.03133823-.77492941 2.80626762 0l.8330165.8330165c.3750728.37507276.8837806.58578644 1.4142136.58578644h1.3496361c1.1045695 0 2 .8954305 2 2v1.34963611c0 .53043298.2107137 1.03914081.5857864 1.41421356l.8330165.83301651c.7749295.77492941.7749295 2.03133823 0 2.80626762l-.8330165.8330165c-.3750727.3750728-.5857864.8837806-.5857864 1.4142136v1.3496361c0 1.1045695-.8954305 2-2 2h-1.3496361c-.530433 0-1.0391408.2107137-1.4142136.5857864l-.8330165.8330165c-.77492939.7749295-2.03133821.7749295-2.80626762 0l-.83301651-.8330165c-.37507275-.3750727-.88378058-.5857864-1.41421356-.5857864h-1.34963611c-1.1045695 0-2-.8954305-2-2v-1.3496361c0-.530433-.21071368-1.0391408-.58578644-1.4142136l-.8330165-.8330165c-.77492941-.77492939-.77492941-2.03133821 0-2.80626762l.8330165-.83301651c.37507276-.37507275.58578644-.88378058.58578644-1.41421356v-1.34963611c0-1.1045695.8954305-2 2-2h1.34963611c.53043298 0 1.03914081-.21071368 1.41421356-.58578644zm-1.41421356 1.58578644h-1.34963611c-.55228475 0-1 .44771525-1 1v1.34963611c0 .79564947-.31607052 1.55871121-.87867966 2.12132034l-.8330165.83301651c-.38440512.38440512-.38440512 1.00764896 0 1.39205408l.8330165.83301646c.56260914.5626092.87867966 1.3256709.87867966 2.1213204v1.3496361c0 .5522847.44771525 1 1 1h1.34963611c.79564947 0 1.55871121.3160705 2.12132034.8786797l.83301651.8330165c.38440512.3844051 1.00764896.3844051 1.39205408 0l.83301646-.8330165c.5626092-.5626092 1.3256709-.8786797 2.1213204-.8786797h1.3496361c.5522847 0 1-.4477153 1-1v-1.3496361c0-.7956495.3160705-1.5587112.8786797-2.1213204l.8330165-.83301646c.3844051-.38440512.3844051-1.00764896 0-1.39205408l-.8330165-.83301651c-.5626092-.56260913-.8786797-1.32567087-.8786797-2.12132034v-1.34963611c0-.55228475-.4477153-1-1-1h-1.3496361c-.7956495 0-1.5587112-.31607052-2.1213204-.87867966l-.83301646-.8330165c-.38440512-.38440512-1.00764896-.38440512-1.39205408 0l-.83301651.8330165c-.56260913.56260914-1.32567087.87867966-2.12132034.87867966zm3.58698944 11.4960218c-.02081224.002155-.04199226.0030286-.06345763.002542-.98766446-.0223875-1.93408568-.3063547-2.75885125-.8155622-.23496767-.1450683-.30784554-.4531483-.16277726-.688116.14506827-.2349677.45314827-.3078455.68811595-.1627773.67447084.4164161 1.44758575.6483839 2.25617384.6667123.01759529.0003988.03495764.0017019.05204365.0038639.01713363-.0017748.03452416-.0026845.05212715-.0026845 2.4852814 0 4.5-2.0147186 4.5-4.5 0-1.04888973-.3593547-2.04134635-1.0074477-2.83787157-.1742817-.21419731-.1419238-.5291218.0722736-.70340353.2141973-.17428173.5291218-.14192375.7034035.07227357.7919032.97327203 1.2317706 2.18808682 1.2317706 3.46900153 0 3.0375661-2.4624339 5.5-5.5 5.5-.02146768 0-.04261937-.0013529-.06337445-.0039782zm1.57975095-10.78419583c.2654788.07599731.419084.35281842.3430867.61829728-.0759973.26547885-.3528185.419084-.6182973.3430867-.37560116-.10752146-.76586237-.16587951-1.15568824-.17249193-2.5587807-.00064534-4.58547766 2.00216524-4.58547766 4.49928198 0 .62691557.12797645 1.23496.37274865 1.7964426.11035133.2531347-.0053975.5477984-.25853224.6581497-.25313473.1103514-.54779841-.0053975-.65814974-.2585322-.29947131-.6869568-.45606667-1.43097603-.45606667-2.1960601 0-3.05211432 2.47714695-5.50006595 5.59399617-5.49921198.48576182.00815502.96289603.0795037 1.42238033.21103795zm-1.9766658 6.41091303 2.69835-2.94655317c.1788432-.21040373.4943901-.23598862.7047939-.05714545.2104037.17884318.2359886.49439014.0571454.70479387l-3.01637681 3.34277395c-.18039088.1999106-.48669547.2210637-.69285412.0478478l-1.93095347-1.62240047c-.21213845-.17678204-.24080048-.49206439-.06401844-.70420284.17678204-.21213844.49206439-.24080048.70420284-.06401844z" fill-rule="evenodd"/></symbol><symbol id="icon-expand"><path d="M7.498 11.918a.997.997 0 0 0-.003-1.411.995.995 0 0 0-1.412-.003l-4.102 4.102v-3.51A1 1 0 0 0 .98 10.09.992.992 0 0 0 0 11.092V17c0 .554.448 1.002 1.002 1.002h5.907c.554 0 1.002-.45 1.002-1.003 0-.539-.45-.978-1.006-.978h-3.51zm3.005-5.835a.997.997 0 0 0 .003 1.412.995.995 0 0 0 1.411.003l4.103-4.103v3.51a1 1 0 0 0 1.001 1.006A.992.992 0 0 0 18 6.91V1.002A1 1 0 0 0 17 0h-5.907a1.003 1.003 0 0 0-1.002 1.003c0 .539.45.978 1.006.978h3.51z" fill-rule="evenodd"/></symbol><symbol id="icon-explore" viewBox="0 0 18 18"><path d="m9 17c4.418278 0 8-3.581722 8-8s-3.581722-8-8-8-8 3.581722-8 8 3.581722 8 8 8zm0 1c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9zm0-2.5c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5c2.969509 0 5.400504-2.3575119 5.497023-5.31714844.0090007-.27599565.2400359-.49243782.5160315-.48343711.2759957.0090007.4924378.2400359.4834371.51603155-.114093 3.4985237-2.9869632 6.284554-6.4964916 6.284554zm-.29090657-12.99359748c.27587424-.01216621.50937715.20161139.52154336.47748563.01216621.27587423-.20161139.50937715-.47748563.52154336-2.93195733.12930094-5.25315116 2.54886451-5.25315116 5.49456849 0 .27614237-.22385763.5-.5.5s-.5-.22385763-.5-.5c0-3.48142406 2.74307146-6.34074398 6.20909343-6.49359748zm1.13784138 8.04763908-1.2004882-1.20048821c-.19526215-.19526215-.19526215-.51184463 0-.70710678s.51184463-.19526215.70710678 0l1.20048821 1.2004882 1.6006509-4.00162734-4.50670359 1.80268144-1.80268144 4.50670359zm4.10281269-6.50378907-2.6692597 6.67314927c-.1016411.2541026-.3029834.4554449-.557086.557086l-6.67314927 2.6692597 2.66925969-6.67314926c.10164107-.25410266.30298336-.45544495.55708602-.55708602z" fill-rule="evenodd"/></symbol><symbol id="icon-filter" viewBox="0 0 16 16"><path d="m14.9738641 0c.5667192 0 1.0261359.4477136 1.0261359 1 0 .24221858-.0902161.47620768-.2538899.65849851l-5.6938314 6.34147206v5.49997973c0 .3147562-.1520673.6111434-.4104543.7999971l-2.05227171 1.4999945c-.45337535.3313696-1.09655869.2418269-1.4365902-.1999993-.13321514-.1730955-.20522717-.3836284-.20522717-.5999978v-6.99997423l-5.69383133-6.34147206c-.3731872-.41563511-.32996891-1.0473954.09653074-1.41107611.18705584-.15950448.42716133-.2474224.67571519-.2474224zm-5.9218641 8.5h-2.105v6.491l.01238459.0070843.02053271.0015705.01955278-.0070558 2.0532976-1.4990996zm-8.02585008-7.5-.01564945.00240169 5.83249953 6.49759831h2.313l5.836-6.499z"/></symbol><symbol id="icon-home" viewBox="0 0 18 18"><path d="m9 5-6 6v5h4v-4h4v4h4v-5zm7 6.5857864v4.4142136c0 .5522847-.4477153 1-1 1h-5v-4h-2v4h-5c-.55228475 0-1-.4477153-1-1v-4.4142136c-.25592232 0-.51184464-.097631-.70710678-.2928932l-.58578644-.5857864c-.39052429-.3905243-.39052429-1.02368929 0-1.41421358l8.29289322-8.29289322 8.2928932 8.29289322c.3905243.39052429.3905243 1.02368928 0 1.41421358l-.5857864.5857864c-.1952622.1952622-.4511845.2928932-.7071068.2928932zm-7-9.17157284-7.58578644 7.58578644.58578644.5857864 7-6.99999996 7 6.99999996.5857864-.5857864z" fill-rule="evenodd"/></symbol><symbol id="icon-image" viewBox="0 0 18 18"><path d="m10.0046024 0c.5497429 0 1.3179837.32258606 1.707238.71184039l4.5763192 4.57631922c.3931386.39313859.7118404 1.16760135.7118404 1.71431368v8.98899651c0 1.1092806-.8945138 2.0085302-1.9940603 2.0085302h-12.01187942c-1.10128908 0-1.99406028-.8926228-1.99406028-1.9950893v-14.00982141c0-1.10185739.88743329-1.99508929 1.99961498-1.99508929zm-3.49645283 10.1752453-3.89407257 6.7495552c.11705545.048464.24538859.0751995.37998328.0751995h10.60290092l-2.4329715-4.2154691-1.57494129 2.7288098zm8.49779013 6.8247547c.5463747 0 .9940603-.4506622.9940603-1.0085302v-8.98899651c0-.28393444-.2150684-.80332809-.4189472-1.0072069l-4.5763192-4.57631922c-.2038461-.20384606-.718603-.41894717-1.0001312-.41894717h-7.00498742c-.55709576 0-.99961498.44271433-.99961498.99508929v13.98991071l4.50814957-7.81026689 3.08089884 5.33809539 1.57494129-2.7288097 3.5875735 6.2159812zm-3.0059397-11c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2-2-.8954305-2-2 .8954305-2 2-2zm0 1c-.5522847 0-1 .44771525-1 1s.4477153 1 1 1 1-.44771525 1-1-.4477153-1-1-1z" fill-rule="evenodd"/></symbol><symbol id="icon-info" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm0 7h-1.5l-.11662113.00672773c-.49733868.05776511-.88337887.48043643-.88337887.99327227 0 .47338693.32893365.86994729.77070917.97358929l.1126697.01968298.11662113.00672773h.5v3h-.5l-.11662113.0067277c-.42082504.0488782-.76196299.3590206-.85696816.7639815l-.01968298.1126697-.00672773.1166211.00672773.1166211c.04887817.4208251.35902055.761963.76398144.8569682l.1126697.019683.11662113.0067277h3l.1166211-.0067277c.4973387-.0577651.8833789-.4804365.8833789-.9932723 0-.4733869-.3289337-.8699473-.7707092-.9735893l-.1126697-.019683-.1166211-.0067277h-.5v-4l-.00672773-.11662113c-.04887817-.42082504-.35902055-.76196299-.76398144-.85696816l-.1126697-.01968298zm0-3.25c-.69035594 0-1.25.55964406-1.25 1.25s.55964406 1.25 1.25 1.25 1.25-.55964406 1.25-1.25-.55964406-1.25-1.25-1.25z" fill-rule="evenodd"/></symbol><symbol id="icon-institution" viewBox="0 0 18 18"><path d="m7 16.9998189v-2.0003623h4v2.0003623h2v-3.0005434h-8v3.0005434zm-3-10.00181122h-1.52632364c-.27614237 0-.5-.22389817-.5-.50009056 0-.13995446.05863589-.27350497.16166338-.36820841l1.23156713-1.13206327h-2.36690687v12.00217346h3v-2.0003623h-3v-1.0001811h3v-1.0001811h1v-4.00072448h-1zm10 0v2.00036224h-1v4.00072448h1v1.0001811h3v1.0001811h-3v2.0003623h3v-12.00217346h-2.3695309l1.2315671 1.13206327c.2033191.186892.2166633.50325042.0298051.70660631-.0946863.10304615-.2282126.16169266-.3681417.16169266zm3-3.00054336c.5522847 0 1 .44779634 1 1.00018112v13.00235456h-18v-13.00235456c0-.55238478.44771525-1.00018112 1-1.00018112h3.45499992l4.20535144-3.86558216c.19129876-.17584288.48537447-.17584288.67667324 0l4.2053514 3.86558216zm-4 3.00054336h-8v1.00018112h8zm-2 6.00108672h1v-4.00072448h-1zm-1 0v-4.00072448h-2v4.00072448zm-3 0v-4.00072448h-1v4.00072448zm8-4.00072448c.5522847 0 1 .44779634 1 1.00018112v2.00036226h-2v-2.00036226c0-.55238478.4477153-1.00018112 1-1.00018112zm-12 0c.55228475 0 1 .44779634 1 1.00018112v2.00036226h-2v-2.00036226c0-.55238478.44771525-1.00018112 1-1.00018112zm5.99868798-7.81907007-5.24205601 4.81852671h10.48411203zm.00131202 3.81834559c-.55228475 0-1-.44779634-1-1.00018112s.44771525-1.00018112 1-1.00018112 1 .44779634 1 1.00018112-.44771525 1.00018112-1 1.00018112zm-1 11.00199236v1.0001811h2v-1.0001811z" fill-rule="evenodd"/></symbol><symbol id="icon-location" viewBox="0 0 18 18"><path d="m9.39521328 16.2688008c.79596342-.7770119 1.59208152-1.6299956 2.33285652-2.5295081 1.4020032-1.7024324 2.4323601-3.3624519 2.9354918-4.871847.2228715-.66861448.3364384-1.29323246.3364384-1.8674457 0-3.3137085-2.6862915-6-6-6-3.36356866 0-6 2.60156856-6 6 0 .57421324.11356691 1.19883122.3364384 1.8674457.50313169 1.5093951 1.53348863 3.1694146 2.93549184 4.871847.74077492.8995125 1.53689309 1.7524962 2.33285648 2.5295081.13694479.1336842.26895677.2602648.39521328.3793207.12625651-.1190559.25826849-.2456365.39521328-.3793207zm-.39521328 1.7311992s-7-6-7-11c0-4 3.13400675-7 7-7 3.8659932 0 7 3.13400675 7 7 0 5-7 11-7 11zm0-8c-1.65685425 0-3-1.34314575-3-3s1.34314575-3 3-3c1.6568542 0 3 1.34314575 3 3s-1.3431458 3-3 3zm0-1c1.1045695 0 2-.8954305 2-2s-.8954305-2-2-2-2 .8954305-2 2 .8954305 2 2 2z" fill-rule="evenodd"/></symbol><symbol id="icon-minus" viewBox="0 0 16 16"><path d="m2.00087166 7h11.99825664c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-11.99825664c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-newsletter" viewBox="0 0 18 18"><path d="m9 11.8482489 2-1.1428571v-1.7053918h-4v1.7053918zm-3-1.7142857v-2.1339632h6v2.1339632l3-1.71428574v-6.41967746h-12v6.41967746zm10-5.3839632 1.5299989.95624934c.2923814.18273835.4700011.50320827.4700011.8479983v8.44575236c0 1.1045695-.8954305 2-2 2h-14c-1.1045695 0-2-.8954305-2-2v-8.44575236c0-.34479003.1776197-.66525995.47000106-.8479983l1.52999894-.95624934v-2.75c0-.55228475.44771525-1 1-1h12c.5522847 0 1 .44771525 1 1zm0 1.17924764v3.07075236l-7 4-7-4v-3.07075236l-1 .625v8.44575236c0 .5522847.44771525 1 1 1h14c.5522847 0 1-.4477153 1-1v-8.44575236zm-10-1.92924764h6v1h-6zm-1 2h8v1h-8z" fill-rule="evenodd"/></symbol><symbol id="icon-orcid" viewBox="0 0 18 18"><path d="m9 1c4.418278 0 8 3.581722 8 8s-3.581722 8-8 8-8-3.581722-8-8 3.581722-8 8-8zm-2.90107518 5.2732337h-1.41865256v7.1712107h1.41865256zm4.55867178.02508949h-2.99247027v7.14612121h2.91062487c.7673039 0 1.4476365-.1483432 2.0410182-.445034s1.0511995-.7152915 1.3734671-1.2558144c.3222677-.540523.4833991-1.1603247.4833991-1.85942385 0-.68545815-.1602789-1.30270225-.4808414-1.85175082-.3205625-.54904856-.7707074-.97532211-1.3504481-1.27883343-.5797408-.30351132-1.2413173-.45526471-1.9847495-.45526471zm-.1892674 1.07933542c.7877654 0 1.4143875.22336734 1.8798852.67010873.4654977.44674138.698243 1.05546001.698243 1.82617415 0 .74343221-.2310402 1.34447791-.6931277 1.80315511-.4620874.4586773-1.0750688.6880124-1.8389625.6880124h-1.46810075v-4.98745039zm-5.08652545-3.71099194c-.21825533 0-.410525.08444276-.57681478.25333081-.16628977.16888806-.24943341.36245684-.24943341.58071218 0 .22345188.08314364.41961891.24943341.58850696.16628978.16888806.35855945.25333082.57681478.25333082.233845 0 .43390938-.08314364.60019916-.24943342.16628978-.16628977.24943342-.36375592.24943342-.59240436 0-.233845-.08314364-.43131115-.24943342-.59240437s-.36635416-.24163862-.60019916-.24163862z" fill-rule="evenodd"/></symbol><symbol id="icon-plus" viewBox="0 0 16 16"><path d="m2.00087166 7h4.99912834v-4.99912834c0-.55276616.44386482-1.00087166 1-1.00087166.55228475 0 1 .44463086 1 1.00087166v4.99912834h4.9991283c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-4.9991283v4.9991283c0 .5527662-.44386482 1.0008717-1 1.0008717-.55228475 0-1-.4446309-1-1.0008717v-4.9991283h-4.99912834c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-print" viewBox="0 0 18 18"><path d="m16.0049107 5h-14.00982141c-.54941618 0-.99508929.4467783-.99508929.99961498v6.00077002c0 .5570958.44271433.999615.99508929.999615h1.00491071v-3h12v3h1.0049107c.5494162 0 .9950893-.4467783.9950893-.999615v-6.00077002c0-.55709576-.4427143-.99961498-.9950893-.99961498zm-2.0049107-1v-2.00208688c0-.54777062-.4519464-.99791312-1.0085302-.99791312h-7.9829396c-.55661731 0-1.0085302.44910695-1.0085302.99791312v2.00208688zm1 10v2.0018986c0 1.103521-.9019504 1.9981014-2.0085302 1.9981014h-7.9829396c-1.1092806 0-2.0085302-.8867064-2.0085302-1.9981014v-2.0018986h-1.00491071c-1.10185739 0-1.99508929-.8874333-1.99508929-1.999615v-6.00077002c0-1.10435686.8926228-1.99961498 1.99508929-1.99961498h1.00491071v-2.00208688c0-1.10341695.90195036-1.99791312 2.0085302-1.99791312h7.9829396c1.1092806 0 2.0085302.89826062 2.0085302 1.99791312v2.00208688h1.0049107c1.1018574 0 1.9950893.88743329 1.9950893 1.99961498v6.00077002c0 1.1043569-.8926228 1.999615-1.9950893 1.999615zm-1-3h-10v5.0018986c0 .5546075.44702548.9981014 1.0085302.9981014h7.9829396c.5565964 0 1.0085302-.4491701 1.0085302-.9981014zm-9 1h8v1h-8zm0 2h5v1h-5zm9-5c-.5522847 0-1-.44771525-1-1s.4477153-1 1-1 1 .44771525 1 1-.4477153 1-1 1z" fill-rule="evenodd"/></symbol><symbol id="icon-search" viewBox="0 0 22 22"><path d="M21.697 20.261a1.028 1.028 0 01.01 1.448 1.034 1.034 0 01-1.448-.01l-4.267-4.267A9.812 9.811 0 010 9.812a9.812 9.811 0 1117.43 6.182zM9.812 18.222A8.41 8.41 0 109.81 1.403a8.41 8.41 0 000 16.82z" fill-rule="evenodd"/></symbol><symbol id="icon-social-facebook" viewBox="0 0 24 24"><path d="m6.00368507 20c-1.10660471 0-2.00368507-.8945138-2.00368507-1.9940603v-12.01187942c0-1.10128908.89451376-1.99406028 1.99406028-1.99406028h12.01187942c1.1012891 0 1.9940603.89451376 1.9940603 1.99406028v12.01187942c0 1.1012891-.88679 1.9940603-2.0032184 1.9940603h-2.9570132v-6.1960818h2.0797387l.3114113-2.414723h-2.39115v-1.54164807c0-.69911803.1941355-1.1755439 1.1966615-1.1755439l1.2786739-.00055875v-2.15974763l-.2339477-.02492088c-.3441234-.03134957-.9500153-.07025255-1.6293054-.07025255-1.8435726 0-3.1057323 1.12531866-3.1057323 3.19187953v1.78079225h-2.0850778v2.414723h2.0850778v6.1960818z" fill-rule="evenodd"/></symbol><symbol id="icon-social-twitter" viewBox="0 0 24 24"><path d="m18.8767135 6.87445248c.7638174-.46908424 1.351611-1.21167363 1.6250764-2.09636345-.7135248.43394112-1.50406.74870123-2.3464594.91677702-.6695189-.73342162-1.6297913-1.19486605-2.6922204-1.19486605-2.0399895 0-3.6933555 1.69603749-3.6933555 3.78628909 0 .29642457.0314329.58673729.0942985.8617704-3.06469922-.15890802-5.78835241-1.66547825-7.60988389-3.9574208-.3174714.56076194-.49978171 1.21167363-.49978171 1.90536824 0 1.31404706.65223085 2.47224203 1.64236444 3.15218497-.60350999-.0198635-1.17401554-.1925232-1.67222562-.47366811v.04583885c0 1.83355406 1.27302891 3.36609966 2.96411421 3.71294696-.31118484.0886217-.63651445.1329326-.97441718.1329326-.2357461 0-.47149219-.0229194-.69466516-.0672303.47149219 1.5065703 1.83253297 2.6036468 3.44975116 2.632678-1.2651707 1.0160946-2.85724264 1.6196394-4.5891906 1.6196394-.29861172 0-.59093688-.0152796-.88011875-.0504227 1.63450624 1.0726291 3.57548241 1.6990934 5.66104951 1.6990934 6.79263079 0 10.50641749-5.7711113 10.50641749-10.7751859l-.0094298-.48894775c.7229547-.53478659 1.3516109-1.20250585 1.8419628-1.96190282-.6632323.30100846-1.3751855.50422736-2.1217148.59590507z" fill-rule="evenodd"/></symbol><symbol id="icon-social-youtube" viewBox="0 0 24 24"><path d="m10.1415 14.3973208-.0005625-5.19318431 4.863375 2.60554491zm9.963-7.92753362c-.6845625-.73643756-1.4518125-.73990314-1.803375-.7826454-2.518875-.18714178-6.2971875-.18714178-6.2971875-.18714178-.007875 0-3.7861875 0-6.3050625.18714178-.352125.04274226-1.1188125.04620784-1.8039375.7826454-.5394375.56084773-.7149375 1.8344515-.7149375 1.8344515s-.18 1.49597903-.18 2.99138042v1.4024082c0 1.495979.18 2.9913804.18 2.9913804s.1755 1.2736038.7149375 1.8344515c.685125.7364376 1.5845625.7133337 1.9850625.7901542 1.44.1420891 6.12.1859866 6.12.1859866s3.78225-.005776 6.301125-.1929178c.3515625-.0433198 1.1188125-.0467854 1.803375-.783223.5394375-.5608477.7155-1.8344515.7155-1.8344515s.18-1.4954014.18-2.9913804v-1.4024082c0-1.49540139-.18-2.99138042-.18-2.99138042s-.1760625-1.27360377-.7155-1.8344515z" fill-rule="evenodd"/></symbol><symbol id="icon-subject-medicine" viewBox="0 0 18 18"><path d="m12.5 8h-6.5c-1.65685425 0-3 1.34314575-3 3v1c0 1.6568542 1.34314575 3 3 3h1v-2h-.5c-.82842712 0-1.5-.6715729-1.5-1.5s.67157288-1.5 1.5-1.5h1.5 2 1 2c1.6568542 0 3-1.34314575 3-3v-1c0-1.65685425-1.3431458-3-3-3h-2v2h1.5c.8284271 0 1.5.67157288 1.5 1.5s-.6715729 1.5-1.5 1.5zm-5.5-1v-1h-3.5c-1.38071187 0-2.5-1.11928813-2.5-2.5s1.11928813-2.5 2.5-2.5h1.02786405c.46573528 0 .92507448.10843528 1.34164078.31671843l1.13382424.56691212c.06026365-1.05041141.93116291-1.88363055 1.99667093-1.88363055 1.1045695 0 2 .8954305 2 2h2c2.209139 0 4 1.790861 4 4v1c0 2.209139-1.790861 4-4 4h-2v1h2c1.1045695 0 2 .8954305 2 2s-.8954305 2-2 2h-2c0 1.1045695-.8954305 2-2 2s-2-.8954305-2-2h-1c-2.209139 0-4-1.790861-4-4v-1c0-2.209139 1.790861-4 4-4zm0-2v-2.05652691c-.14564246-.03538148-.28733393-.08714006-.42229124-.15461871l-1.15541752-.57770876c-.27771087-.13885544-.583937-.21114562-.89442719-.21114562h-1.02786405c-.82842712 0-1.5.67157288-1.5 1.5s.67157288 1.5 1.5 1.5zm4 1v1h1.5c.2761424 0 .5-.22385763.5-.5s-.2238576-.5-.5-.5zm-1 1v-5c0-.55228475-.44771525-1-1-1s-1 .44771525-1 1v5zm-2 4v5c0 .5522847.44771525 1 1 1s1-.4477153 1-1v-5zm3 2v2h2c.5522847 0 1-.4477153 1-1s-.4477153-1-1-1zm-4-1v-1h-.5c-.27614237 0-.5.2238576-.5.5s.22385763.5.5.5zm-3.5-9h1c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5z" fill-rule="evenodd"/></symbol><symbol id="icon-success" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm3.4860198 4.98163161-4.71802968 5.50657859-2.62834168-2.02300024c-.42862421-.36730544-1.06564993-.30775346-1.42283677.13301307-.35718685.44076653-.29927542 1.0958383.12934879 1.46314377l3.40735508 2.7323063c.42215801.3385221 1.03700951.2798252 1.38749189-.1324571l5.38450527-6.33394549c.3613513-.43716226.3096573-1.09278382-.115462-1.46437175-.4251192-.37158792-1.0626796-.31842941-1.4240309.11873285z" fill-rule="evenodd"/></symbol><symbol id="icon-table" viewBox="0 0 18 18"><path d="m16.0049107 2c1.1018574 0 1.9950893.89706013 1.9950893 2.00585866v9.98828264c0 1.1078052-.8926228 2.0058587-1.9950893 2.0058587l-4.0059107-.001.001.001h-1l-.001-.001h-5l.001.001h-1l-.001-.001-3.00391071.001c-1.10185739 0-1.99508929-.8970601-1.99508929-2.0058587v-9.98828264c0-1.10780515.8926228-2.00585866 1.99508929-2.00585866zm-11.0059107 5h-3.999v6.9941413c0 .5572961.44630695 1.0058587.99508929 1.0058587h3.00391071zm6 0h-5v8h5zm5.0059107-4h-4.0059107v3h5.001v1h-5.001v7.999l4.0059107.001c.5487152 0 .9950893-.4488783.9950893-1.0058587v-9.98828264c0-.55729607-.446307-1.00585866-.9950893-1.00585866zm-12.5049107 9c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm12 0c.2761424 0 .5.2238576.5.5s-.2238576.5-.5.5h-2c-.2761424 0-.5-.2238576-.5-.5s.2238576-.5.5-.5zm-6 0c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-2c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm-6-2c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm12 0c.2761424 0 .5.2238576.5.5s-.2238576.5-.5.5h-2c-.2761424 0-.5-.2238576-.5-.5s.2238576-.5.5-.5zm-6 0c.27614237 0 .5.2238576.5.5s-.22385763.5-.5.5h-2c-.27614237 0-.5-.2238576-.5-.5s.22385763-.5.5-.5zm-6-2c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-1c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm12 0c.2761424 0 .5.22385763.5.5s-.2238576.5-.5.5h-2c-.2761424 0-.5-.22385763-.5-.5s.2238576-.5.5-.5zm-6 0c.27614237 0 .5.22385763.5.5s-.22385763.5-.5.5h-2c-.27614237 0-.5-.22385763-.5-.5s.22385763-.5.5-.5zm1.499-5h-5v3h5zm-6 0h-3.00391071c-.54871518 0-.99508929.44887827-.99508929 1.00585866v1.99414134h3.999z" fill-rule="evenodd"/></symbol><symbol id="icon-tick-circle" viewBox="0 0 24 24"><path d="m12 2c5.5228475 0 10 4.4771525 10 10s-4.4771525 10-10 10-10-4.4771525-10-10 4.4771525-10 10-10zm0 1c-4.97056275 0-9 4.02943725-9 9 0 4.9705627 4.02943725 9 9 9 4.9705627 0 9-4.0294373 9-9 0-4.97056275-4.0294373-9-9-9zm4.2199868 5.36606669c.3613514-.43716226.9989118-.49032077 1.424031-.11873285s.4768133 1.02720949.115462 1.46437175l-6.093335 6.94397871c-.3622945.4128716-.9897871.4562317-1.4054264.0971157l-3.89719065-3.3672071c-.42862421-.3673054-.48653564-1.0223772-.1293488-1.4631437s.99421256-.5003185 1.42283677-.1330131l3.11097438 2.6987741z" fill-rule="evenodd"/></symbol><symbol id="icon-tick" viewBox="0 0 16 16"><path d="m6.76799012 9.21106946-3.1109744-2.58349728c-.42862421-.35161617-1.06564993-.29460792-1.42283677.12733148s-.29927541 1.04903009.1293488 1.40064626l3.91576307 3.23873978c.41034319.3393961 1.01467563.2976897 1.37450571-.0948578l6.10568327-6.660841c.3613513-.41848908.3096572-1.04610608-.115462-1.4018218-.4251192-.35571573-1.0626796-.30482786-1.424031.11366122z" fill-rule="evenodd"/></symbol><symbol id="icon-update" viewBox="0 0 18 18"><path d="m1 13v1c0 .5522847.44771525 1 1 1h14c.5522847 0 1-.4477153 1-1v-1h-1v-10h-14v10zm16-1h1v2c0 1.1045695-.8954305 2-2 2h-14c-1.1045695 0-2-.8954305-2-2v-2h1v-9c0-.55228475.44771525-1 1-1h14c.5522847 0 1 .44771525 1 1zm-1 0v1h-4.5857864l-1 1h-2.82842716l-1-1h-4.58578644v-1h5l1 1h2l1-1zm-13-8h12v7h-12zm1 1v5h10v-5zm1 1h4v1h-4zm0 2h4v1h-4z" fill-rule="evenodd"/></symbol><symbol id="icon-upload" viewBox="0 0 18 18"><path d="m10.0046024 0c.5497429 0 1.3179837.32258606 1.707238.71184039l4.5763192 4.57631922c.3931386.39313859.7118404 1.16760135.7118404 1.71431368v8.98899651c0 1.1092806-.8945138 2.0085302-1.9940603 2.0085302h-12.01187942c-1.10128908 0-1.99406028-.8926228-1.99406028-1.9950893v-14.00982141c0-1.10185739.88743329-1.99508929 1.99961498-1.99508929zm0 1h-7.00498742c-.55709576 0-.99961498.44271433-.99961498.99508929v14.00982141c0 .5500396.44491393.9950893.99406028.9950893h12.01187942c.5463747 0 .9940603-.4506622.9940603-1.0085302v-8.98899651c0-.28393444-.2150684-.80332809-.4189472-1.0072069l-4.5763192-4.57631922c-.2038461-.20384606-.718603-.41894717-1.0001312-.41894717zm-1.85576936 4.14572769c.19483374-.19483375.51177826-.19377714.70556874.00001334l2.59099082 2.59099079c.1948411.19484112.1904373.51514474.0027906.70279143-.1932998.19329987-.5046517.19237083-.7001856-.00692852l-1.74638687-1.7800176v6.14827687c0 .2717771-.23193359.492096-.5.492096-.27614237 0-.5-.216372-.5-.492096v-6.14827641l-1.74627892 1.77990922c-.1933927.1971171-.51252214.19455839-.70016883.0069117-.19329987-.19329988-.19100584-.50899493.00277731-.70277808z" fill-rule="evenodd"/></symbol><symbol id="icon-video" viewBox="0 0 18 18"><path d="m16.0049107 2c1.1018574 0 1.9950893.89706013 1.9950893 2.00585866v9.98828264c0 1.1078052-.8926228 2.0058587-1.9950893 2.0058587h-14.00982141c-1.10185739 0-1.99508929-.8970601-1.99508929-2.0058587v-9.98828264c0-1.10780515.8926228-2.00585866 1.99508929-2.00585866zm0 1h-14.00982141c-.54871518 0-.99508929.44887827-.99508929 1.00585866v9.98828264c0 .5572961.44630695 1.0058587.99508929 1.0058587h14.00982141c.5487152 0 .9950893-.4488783.9950893-1.0058587v-9.98828264c0-.55729607-.446307-1.00585866-.9950893-1.00585866zm-8.30912922 2.24944486 4.60460462 2.73982242c.9365543.55726659.9290753 1.46522435 0 2.01804082l-4.60460462 2.7398224c-.93655425.5572666-1.69578148.1645632-1.69578148-.8937585v-5.71016863c0-1.05087579.76670616-1.446575 1.69578148-.89375851zm-.67492769.96085624v5.5750128c0 .2995102-.10753745.2442517.16578928.0847713l4.58452283-2.67497259c.3050619-.17799716.3051624-.21655446 0-.39461026l-4.58452283-2.67497264c-.26630747-.15538481-.16578928-.20699944-.16578928.08477139z" fill-rule="evenodd"/></symbol><symbol id="icon-warning" viewBox="0 0 18 18"><path d="m9 11.75c.69035594 0 1.25.5596441 1.25 1.25s-.55964406 1.25-1.25 1.25-1.25-.5596441-1.25-1.25.55964406-1.25 1.25-1.25zm.41320045-7.75c.55228475 0 1.00000005.44771525 1.00000005 1l-.0034543.08304548-.3333333 4c-.043191.51829212-.47645714.91695452-.99654578.91695452h-.15973424c-.52008864 0-.95335475-.3986624-.99654576-.91695452l-.33333333-4c-.04586475-.55037702.36312325-1.03372649.91350028-1.07959124l.04148683-.00259031zm-.41320045 14c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9z" fill-rule="evenodd"/></symbol><symbol id="icon-checklist-banner" viewBox="0 0 56.69 56.69"><path style="fill:none" d="M0 0h56.69v56.69H0z"/><clipPath id="b"><use xlink:href="#a" style="overflow:visible"/></clipPath><path d="M21.14 34.46c0-6.77 5.48-12.26 12.24-12.26s12.24 5.49 12.24 12.26-5.48 12.26-12.24 12.26c-6.76-.01-12.24-5.49-12.24-12.26zm19.33 10.66 10.23 9.22s1.21 1.09 2.3-.12l2.09-2.32s1.09-1.21-.12-2.3l-10.23-9.22m-19.29-5.92c0-4.38 3.55-7.94 7.93-7.94s7.93 3.55 7.93 7.94c0 4.38-3.55 7.94-7.93 7.94-4.38-.01-7.93-3.56-7.93-7.94zm17.58 12.99 4.14-4.81" style="clip-path:url(#b);fill:none;stroke:#01324b;stroke-width:2;stroke-linecap:round"/><path d="M8.26 9.75H28.6M8.26 15.98H28.6m-20.34 6.2h12.5m14.42-5.2V4.86s0-2.93-2.93-2.93H4.13s-2.93 0-2.93 2.93v37.57s0 2.93 2.93 2.93h15.01M8.26 9.75H28.6M8.26 15.98H28.6m-20.34 6.2h12.5" style="clip-path:url(#b);fill:none;stroke:#01324b;stroke-width:2;stroke-linecap:round;stroke-linejoin:round"/></symbol><symbol id="icon-chevron-down" viewBox="0 0 16 16"><path d="m5.58578644 3-3.29289322-3.29289322c-.39052429-.39052429-.39052429-1.02368927 0-1.41421356s1.02368927-.39052429 1.41421356 0l4 4c.39052429.39052429.39052429 1.02368927 0 1.41421356l-4 4c-.39052429.39052429-1.02368927.39052429-1.41421356 0s-.39052429-1.02368927 0-1.41421356z" fill-rule="evenodd" transform="matrix(0 1 -1 0 11 1)"/></symbol><symbol id="icon-eds-i-arrow-right-medium" viewBox="0 0 24 24"><path d="m12.728 3.293 7.98 7.99a.996.996 0 0 1 .281.561l.011.157c0 .32-.15.605-.384.788l-7.908 7.918a1 1 0 0 1-1.416-1.414L17.576 13H4a1 1 0 0 1 0-2h13.598l-6.285-6.293a1 1 0 0 1-.082-1.32l.083-.095a1 1 0 0 1 1.414.001Z"/></symbol><symbol id="icon-eds-i-chevron-down-medium" viewBox="0 0 16 16"><path d="m2.00087166 7h4.99912834v-4.99912834c0-.55276616.44386482-1.00087166 1-1.00087166.55228475 0 1 .44463086 1 1.00087166v4.99912834h4.9991283c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-4.9991283v4.9991283c0 .5527662-.44386482 1.0008717-1 1.0008717-.55228475 0-1-.4446309-1-1.0008717v-4.9991283h-4.99912834c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-chevron-down-small" viewBox="0 0 16 16"><path d="M13.692 5.278a1 1 0 0 1 .03 1.414L9.103 11.51a1.491 1.491 0 0 1-2.188.019L2.278 6.692a1 1 0 0 1 1.444-1.384L8 9.771l4.278-4.463a1 1 0 0 1 1.318-.111l.096.081Z"/></symbol><symbol id="icon-eds-i-chevron-right-medium" viewBox="0 0 10 10"><path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/></symbol><symbol id="icon-eds-i-chevron-right-small" viewBox="0 0 10 10"><path d="m5.96738168 4.70639573 2.39518594-2.41447274c.37913917-.38219212.98637524-.38972225 1.35419292-.01894278.37750606.38054586.37784436.99719163-.00013556 1.37821513l-4.03074001 4.06319683c-.37758093.38062133-.98937525.38100976-1.367372-.00003075l-4.03091981-4.06337806c-.37759778-.38063832-.38381821-.99150444-.01600053-1.3622839.37750607-.38054587.98772445-.38240057 1.37006824.00302197l2.39538588 2.4146743.96295325.98624457z" fill-rule="evenodd" transform="matrix(0 -1 1 0 0 10)"/></symbol><symbol id="icon-eds-i-chevron-up-medium" viewBox="0 0 16 16"><path d="m2.00087166 7h11.99825664c.5527662 0 1.0008717.44386482 1.0008717 1 0 .55228475-.4446309 1-1.0008717 1h-11.99825664c-.55276616 0-1.00087166-.44386482-1.00087166-1 0-.55228475.44463086-1 1.00087166-1z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-close-medium" viewBox="0 0 16 16"><path d="m2.29679575 12.2772478c-.39658757.3965876-.39438847 1.0328109-.00062148 1.4265779.39651227.3965123 1.03246768.3934888 1.42657791-.0006214l4.27724782-4.27724787 4.2772478 4.27724787c.3965876.3965875 1.0328109.3943884 1.4265779.0006214.3965123-.3965122.3934888-1.0324677-.0006214-1.4265779l-4.27724787-4.2772478 4.27724787-4.27724782c.3965875-.39658757.3943884-1.03281091.0006214-1.42657791-.3965122-.39651226-1.0324677-.39348875-1.4265779.00062148l-4.2772478 4.27724782-4.27724782-4.27724782c-.39658757-.39658757-1.03281091-.39438847-1.42657791-.00062148-.39651226.39651227-.39348875 1.03246768.00062148 1.42657791l4.27724782 4.27724782z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-download-medium" viewBox="0 0 16 16"><path d="m12.9975267 12.999368c.5467123 0 1.0024733.4478567 1.0024733 1.000316 0 .5563109-.4488226 1.000316-1.0024733 1.000316h-9.99505341c-.54671233 0-1.00247329-.4478567-1.00247329-1.000316 0-.5563109.44882258-1.000316 1.00247329-1.000316zm-4.9975267-11.999368c.55228475 0 1 .44497754 1 .99589209v6.80214418l2.4816273-2.48241149c.3928222-.39294628 1.0219732-.4006883 1.4030652-.01947579.3911302.39125371.3914806 1.02525073-.0001404 1.41699553l-4.17620792 4.17752758c-.39120769.3913313-1.02508144.3917306-1.41671995-.0000316l-4.17639421-4.17771394c-.39122513-.39134876-.39767006-1.01940351-.01657797-1.40061601.39113012-.39125372 1.02337105-.3931606 1.41951349.00310701l2.48183446 2.48261871v-6.80214418c0-.55001601.44386482-.99589209 1-.99589209z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-info-filled-medium" viewBox="0 0 18 18"><path d="m9 0c4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9zm0 7h-1.5l-.11662113.00672773c-.49733868.05776511-.88337887.48043643-.88337887.99327227 0 .47338693.32893365.86994729.77070917.97358929l.1126697.01968298.11662113.00672773h.5v3h-.5l-.11662113.0067277c-.42082504.0488782-.76196299.3590206-.85696816.7639815l-.01968298.1126697-.00672773.1166211.00672773.1166211c.04887817.4208251.35902055.761963.76398144.8569682l.1126697.019683.11662113.0067277h3l.1166211-.0067277c.4973387-.0577651.8833789-.4804365.8833789-.9932723 0-.4733869-.3289337-.8699473-.7707092-.9735893l-.1126697-.019683-.1166211-.0067277h-.5v-4l-.00672773-.11662113c-.04887817-.42082504-.35902055-.76196299-.76398144-.85696816l-.1126697-.01968298zm0-3.25c-.69035594 0-1.25.55964406-1.25 1.25s.55964406 1.25 1.25 1.25 1.25-.55964406 1.25-1.25-.55964406-1.25-1.25-1.25z" fill-rule="evenodd"/></symbol><symbol id="icon-eds-i-mail-medium" viewBox="0 0 24 24"><path d="m19.462 0c1.413 0 2.538 1.184 2.538 2.619v12.762c0 1.435-1.125 2.619-2.538 2.619h-16.924c-1.413 0-2.538-1.184-2.538-2.619v-12.762c0-1.435 1.125-2.619 2.538-2.619zm.538 5.158-7.378 6.258a2.549 2.549 0 0 1 -3.253-.008l-7.369-6.248v10.222c0 .353.253.619.538.619h16.924c.285 0 .538-.266.538-.619zm-.538-3.158h-16.924c-.264 0-.5.228-.534.542l8.65 7.334c.2.165.492.165.684.007l8.656-7.342-.001-.025c-.044-.3-.274-.516-.531-.516z"/></symbol><symbol id="icon-eds-i-menu-medium" viewBox="0 0 24 24"><path d="M21 4a1 1 0 0 1 0 2H3a1 1 0 1 1 0-2h18Zm-4 7a1 1 0 0 1 0 2H3a1 1 0 0 1 0-2h14Zm4 7a1 1 0 0 1 0 2H3a1 1 0 0 1 0-2h18Z"/></symbol><symbol id="icon-eds-i-search-medium" viewBox="0 0 24 24"><path d="M11 1c5.523 0 10 4.477 10 10 0 2.4-.846 4.604-2.256 6.328l3.963 3.965a1 1 0 0 1-1.414 1.414l-3.965-3.963A9.959 9.959 0 0 1 11 21C5.477 21 1 16.523 1 11S5.477 1 11 1Zm0 2a8 8 0 1 0 0 16 8 8 0 0 0 0-16Z"/></symbol><symbol id="icon-eds-i-user-single-medium" viewBox="0 0 24 24"><path d="M12 1a5 5 0 1 1 0 10 5 5 0 0 1 0-10Zm0 2a3 3 0 1 0 0 6 3 3 0 0 0 0-6Zm-.406 9.008a8.965 8.965 0 0 1 6.596 2.494A9.161 9.161 0 0 1 21 21.025V22a1 1 0 0 1-1 1H4a1 1 0 0 1-1-1v-.985c.05-4.825 3.815-8.777 8.594-9.007Zm.39 1.992-.299.006c-3.63.175-6.518 3.127-6.678 6.775L5 21h13.998l-.009-.268a7.157 7.157 0 0 0-1.97-4.573l-.214-.213A6.967 6.967 0 0 0 11.984 14Z"/></symbol><symbol id="icon-eds-i-warning-filled-medium" viewBox="0 0 18 18"><path d="m9 11.75c.69035594 0 1.25.5596441 1.25 1.25s-.55964406 1.25-1.25 1.25-1.25-.5596441-1.25-1.25.55964406-1.25 1.25-1.25zm.41320045-7.75c.55228475 0 1.00000005.44771525 1.00000005 1l-.0034543.08304548-.3333333 4c-.043191.51829212-.47645714.91695452-.99654578.91695452h-.15973424c-.52008864 0-.95335475-.3986624-.99654576-.91695452l-.33333333-4c-.04586475-.55037702.36312325-1.03372649.91350028-1.07959124l.04148683-.00259031zm-.41320045 14c-4.97056275 0-9-4.0294373-9-9 0-4.97056275 4.02943725-9 9-9 4.9705627 0 9 4.02943725 9 9 0 4.9705627-4.0294373 9-9 9z" fill-rule="evenodd"/></symbol><symbol id="icon-expand-image" viewBox="0 0 18 18"><path d="m7.49754099 11.9178212c.38955542-.3895554.38761957-1.0207846-.00290473-1.4113089-.39324695-.3932469-1.02238878-.3918247-1.41130883-.0029047l-4.10273549 4.1027355.00055454-3.5103985c.00008852-.5603185-.44832171-1.006032-1.00155062-1.0059446-.53903074.0000852-.97857527.4487442-.97866268 1.0021075l-.00093318 5.9072465c-.00008751.553948.44841131 1.001882 1.00174994 1.0017946l5.906983-.0009331c.5539233-.0000875 1.00197907-.4486389 1.00206646-1.0018679.00008515-.5390307-.45026621-.9784332-1.00588841-.9783454l-3.51010549.0005545zm3.00571741-5.83449376c-.3895554.38955541-.3876196 1.02078454.0029047 1.41130883.393247.39324696 1.0223888.39182478 1.4113089.00290473l4.1027355-4.10273549-.0005546 3.5103985c-.0000885.56031852.4483217 1.006032 1.0015506 1.00594461.5390308-.00008516.9785753-.44874418.9786627-1.00210749l.0009332-5.9072465c.0000875-.553948-.4484113-1.00188204-1.0017499-1.00179463l-5.906983.00093313c-.5539233.00008751-1.0019791.44863892-1.0020665 1.00186784-.0000852.53903074.4502662.97843325 1.0058884.97834547l3.5101055-.00055449z" fill-rule="evenodd"/></symbol><symbol id="icon-github" viewBox="0 0 100 100"><path fill-rule="evenodd" clip-rule="evenodd" d="M48.854 0C21.839 0 0 22 0 49.217c0 21.756 13.993 40.172 33.405 46.69 2.427.49 3.316-1.059 3.316-2.362 0-1.141-.08-5.052-.08-9.127-13.59 2.934-16.42-5.867-16.42-5.867-2.184-5.704-5.42-7.17-5.42-7.17-4.448-3.015.324-3.015.324-3.015 4.934.326 7.523 5.052 7.523 5.052 4.367 7.496 11.404 5.378 14.235 4.074.404-3.178 1.699-5.378 3.074-6.6-10.839-1.141-22.243-5.378-22.243-24.283 0-5.378 1.94-9.778 5.014-13.2-.485-1.222-2.184-6.275.486-13.038 0 0 4.125-1.304 13.426 5.052a46.97 46.97 0 0 1 12.214-1.63c4.125 0 8.33.571 12.213 1.63 9.302-6.356 13.427-5.052 13.427-5.052 2.67 6.763.97 11.816.485 13.038 3.155 3.422 5.015 7.822 5.015 13.2 0 18.905-11.404 23.06-22.324 24.283 1.78 1.548 3.316 4.481 3.316 9.126 0 6.6-.08 11.897-.08 13.526 0 1.304.89 2.853 3.316 2.364 19.412-6.52 33.405-24.935 33.405-46.691C97.707 22 75.788 0 48.854 0z"/></symbol><symbol id="icon-springer-arrow-left"><path d="M15 7a1 1 0 000-2H3.385l2.482-2.482a.994.994 0 00.02-1.403 1.001 1.001 0 00-1.417 0L.294 5.292a1.001 1.001 0 000 1.416l4.176 4.177a.991.991 0 001.4.016 1 1 0 00-.003-1.42L3.385 7H15z"/></symbol><symbol id="icon-springer-arrow-right"><path d="M1 7a1 1 0 010-2h11.615l-2.482-2.482a.994.994 0 01-.02-1.403 1.001 1.001 0 011.417 0l4.176 4.177a1.001 1.001 0 010 1.416l-4.176 4.177a.991.991 0 01-1.4.016 1 1 0 01.003-1.42L12.615 7H1z"/></symbol><symbol id="icon-submit-open" viewBox="0 0 16 17"><path d="M12 0c1.10457 0 2 .895431 2 2v5c0 .276142-.223858.5-.5.5S13 7.276142 13 7V2c0-.512836-.38604-.935507-.883379-.993272L12 1H6v3c0 1.10457-.89543 2-2 2H1v8c0 .512836.38604.935507.883379.993272L2 15h6.5c.276142 0 .5.223858.5.5s-.223858.5-.5.5H2c-1.104569 0-2-.89543-2-2V5.828427c0-.530433.210714-1.039141.585786-1.414213L4.414214.585786C4.789286.210714 5.297994 0 5.828427 0H12Zm3.41 11.14c.250899.250899.250274.659726 0 .91-.242954.242954-.649606.245216-.9-.01l-1.863671-1.900337.001043 5.869492c0 .356992-.289839.637138-.647372.637138-.347077 0-.647371-.285256-.647371-.637138l-.001043-5.869492L9.5 12.04c-.253166.258042-.649726.260274-.9.01-.242954-.242954-.252269-.657731 0-.91l2.942184-2.951303c.250908-.250909.66127-.252277.91353-.000017L15.41 11.14ZM5 1.413 1.413 5H4c.552285 0 1-.447715 1-1V1.413ZM11 3c.276142 0 .5.223858.5.5s-.223858.5-.5.5H7.5c-.276142 0-.5-.223858-.5-.5s.223858-.5.5-.5H11Zm0 2c.276142 0 .5.223858.5.5s-.223858.5-.5.5H7.5c-.276142 0-.5-.223858-.5-.5s.223858-.5.5-.5H11Z" fill-rule="nonzero"/></symbol></svg> </div> </footer> <div class="c-site-messages message u-hide u-hide-print c-site-messages--nature-briefing c-site-messages--nature-briefing-email-variant c-site-messages--nature-briefing-redesign-2020 sans-serif " data-component-id="nature-briefing-banner" data-component-expirydays="30" data-component-trigger-scroll-percentage="15" data-track="in-view" data-track-action="in-view" data-track-category="nature briefing" data-track-label="Briefing banner visible: Flagship"> <div class="c-site-messages__banner-large"> <div class="c-site-messages__close-container"> <button class="c-site-messages__close" data-track="click" data-track-category="nature briefing" data-track-label="Briefing banner dismiss: Flagship"> <svg width="25px" height="25px" focusable="false" aria-hidden="true" viewBox="0 0 25 25" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <title>Close banner</title> <defs></defs> <g stroke="none" stroke-width="1" fill="none" fill-rule="evenodd"> <rect opacity="0" x="0" y="0" width="25" height="25"></rect> <path d="M6.29679575,16.2772478 C5.90020818,16.6738354 5.90240728,17.3100587 6.29617427,17.7038257 C6.69268654,18.100338 7.32864195,18.0973145 7.72275218,17.7032043 L12,13.4259564 L16.2772478,17.7032043 C16.6738354,18.0997918 17.3100587,18.0975927 17.7038257,17.7038257 C18.100338,17.3073135 18.0973145,16.671358 17.7032043,16.2772478 L13.4259564,12 L17.7032043,7.72275218 C18.0997918,7.32616461 18.0975927,6.68994127 17.7038257,6.29617427 C17.3073135,5.89966201 16.671358,5.90268552 16.2772478,6.29679575 L12,10.5740436 L7.72275218,6.29679575 C7.32616461,5.90020818 6.68994127,5.90240728 6.29617427,6.29617427 C5.89966201,6.69268654 5.90268552,7.32864195 6.29679575,7.72275218 L10.5740436,12 L6.29679575,16.2772478 Z" fill="#ffffff"></path> </g> </svg> <span class="visually-hidden">Close</span> </button> </div> <div class="c-site-messages__form-container"> <div class="grid grid-12 last"> <div class="grid grid-4"> <img alt="Nature Briefing" src="/static/images/logos/nature-briefing-logo-n150-white-d81c9da3ec.svg" width="250" height="40"> <p class="c-site-messages--nature-briefing__strapline extra-tight-line-height">Sign up for the <em>Nature Briefing</em> newsletter — what matters in science, free to your inbox daily.</p> </div> <div class="grid grid-8 last"> <form action="https://www.nature.com/briefing/briefing" method="post" data-location="banner" data-track="signup_nature_briefing_banner" data-track-action="transmit-form" data-track-category="nature briefing" data-track-label="Briefing banner submit: Flagship"> <input id="briefing-banner-signup-form-input-track-originReferralPoint" type="hidden" name="track_originReferralPoint" value="MainBriefingBanner"> <input id="briefing-banner-signup-form-input-track-formType" type="hidden" name="track_formType" value="DirectEmailBanner"> <input type="hidden" value="false" name="gdpr_tick" id="gdpr_tick_banner"> <input type="hidden" value="false" name="marketing" id="marketing_input_banner"> <input type="hidden" value="false" name="marketing_tick" id="marketing_tick_banner"> <input type="hidden" value="MainBriefingBanner" name="brieferEntryPoint" id="brieferEntryPoint_banner"> <label class="nature-briefing-banner__email-label" for="emailAddress">Email address</label> <div class="nature-briefing-banner__email-wrapper"> <input class="nature-briefing-banner__email-input box-sizing text14" type="email" id="emailAddress" name="emailAddress" value="" placeholder="e.g. jo.smith@university.ac.uk" required data-test-element="briefing-emailbanner-email-input"> <input type="hidden" value="true" name="N:nature_briefing_daily" id="defaultNewsletter_banner"> <button type="submit" class="nature-briefing-banner__submit-button box-sizing text14" data-test-element="briefing-emailbanner-signup-button">Sign up</button> </div> <div class="nature-briefing-banner__checkbox-wrapper grid grid-12 last"> <input class="nature-briefing-banner__checkbox-checkbox" id="gdpr-briefing-banner-checkbox" type="checkbox" name="gdpr" value="true" data-test-element="briefing-emailbanner-gdpr-checkbox" required> <label class="nature-briefing-banner__checkbox-label box-sizing text13 sans-serif block tighten-line-height" for="gdpr-briefing-banner-checkbox">I agree my information will be processed in accordance with the <em>Nature</em> and Springer Nature Limited <a href="https://www.nature.com/info/privacy">Privacy Policy</a>.</label> </div> </form> </div> </div> </div> </div> <div class="c-site-messages__banner-small"> <div class="c-site-messages__close-container"> <button class="c-site-messages__close" data-track="click" data-track-category="nature briefing" data-track-label="Briefing banner dismiss: Flagship"> <svg width="25px" height="25px" focusable="false" aria-hidden="true" viewBox="0 0 25 25" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <title>Close banner</title> <defs></defs> <g stroke="none" stroke-width="1" fill="none" fill-rule="evenodd"> <rect opacity="0" x="0" y="0" width="25" height="25"></rect> <path d="M6.29679575,16.2772478 C5.90020818,16.6738354 5.90240728,17.3100587 6.29617427,17.7038257 C6.69268654,18.100338 7.32864195,18.0973145 7.72275218,17.7032043 L12,13.4259564 L16.2772478,17.7032043 C16.6738354,18.0997918 17.3100587,18.0975927 17.7038257,17.7038257 C18.100338,17.3073135 18.0973145,16.671358 17.7032043,16.2772478 L13.4259564,12 L17.7032043,7.72275218 C18.0997918,7.32616461 18.0975927,6.68994127 17.7038257,6.29617427 C17.3073135,5.89966201 16.671358,5.90268552 16.2772478,6.29679575 L12,10.5740436 L7.72275218,6.29679575 C7.32616461,5.90020818 6.68994127,5.90240728 6.29617427,6.29617427 C5.89966201,6.69268654 5.90268552,7.32864195 6.29679575,7.72275218 L10.5740436,12 L6.29679575,16.2772478 Z" fill="#ffffff"></path> </g> </svg> <span class="visually-hidden">Close</span> </button> </div> <div class="c-site-messages__content text14"> <span class="c-site-messages--nature-briefing__strapline strong">Get the most important science stories of the day, free in your inbox.</span> <a class="nature-briefing__link text14 sans-serif" data-track="click" data-track-category="nature briefing" data-track-label="Small-screen banner CTA to site" data-test-element="briefing-banner-link" target="_blank" rel="noreferrer noopener" href="https://www.nature.com/briefing/signup/?brieferEntryPoint=MainBriefingBanner">Sign up for Nature Briefing </a> </div> </div> </div> <noscript> <img hidden src="https://verify.nature.com/verify/nature.png" width="0" height="0" style="display: none" alt=""> </noscript> <script src="//content.readcube.com/ping?doi=10.1038/nmat3839&format=js&last_modified=2014-02-01" async></script> </body> </html>