Overview cavities II - CERN Document Server

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They are used in linear and circular machines, some must have adjustable frequencies and some even accommodate multiple harmonics. Their operational use stretches from sub-per-mil duty cycles to continuous operation, they provide accelerating gradients from a few kilo Volts up to 100 million volts per metre using frequencies from a few Million Hertz up to 10s of Gigahertz. Depending on the specific use case their design and the used materials may be very different but they can all be classified using a well-established set of RF cavity characteristics. This lecture will derive these basic quantities from Maxwell’s equations and give examples of various cavity types. Furthermore, the description of an RF cavity via lumped circuit parameters will be introduced. Gerigk, Frank" /> <meta name="keywords" content="CERN Document Server, WebSearch, CERN Document Server" /> <script type="text/javascript" src="https://cds.cern.ch/js/jquery.min.js"></script>  <link rel="stylesheet" href="https://cds.cern.ch/img/webnews.css" type="text/css" />  <script type="text/javascript" src="https://cds.cern.ch/js/webnews.js?v=20131009"></script> <meta property="fb:app_id" content="137353533001720"/> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: {inlineMath: [['$','$']], processEscapes: true}, showProcessingMessages: false, messageStyle: "none" }); </script> <script src="/MathJax/MathJax.js?config=TeX-AMS_CHTML" type="text/javascript"> </script>  <meta content="Overview cavities II" name="citation_title" /> <meta content="2023/06/21" name="citation_publication_date" /> <meta name="citation_online_date" content="2023/11/27">  <meta content="Overview cavities II" property="og:title" /> <meta content="CAS course on &quot;RF for Accelerators&quot;, 18 June - 01 July 2023, Berlin Germany" property="og:title" /> <meta content="website" property="og:type" /> <meta content="website" property="og:type" /> <meta content="https://cds.cern.ch/record/2882166" property="og:url" /> <meta property="og:video:height" content="360" /> <meta property="og:video:width" content="640" /> <meta property="og:video" content="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presentation-360p-quality.mp4" /> <meta property="og:video:type" content="video/mp4" /> <meta property="og:image" content="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presentation-cover.jpg" /> <meta name="twitter:player:height" content="360" /> <meta name="twitter:player:width" content="640" /> <link rel="image_src" href="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presentation-cover.jpg" /> <link rel="video_src" href="https://cds.cern.ch/mediaplayer.swf?file=/1212689c17/1212689c17-presentation-360p-quality.mp4&streamer=rtmp://wowza.cern.ch:1935/vod&provider=rtmp&stretching=exactfit&image=https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presentation-cover.jpg"/> <meta name="twitter:player" content="https://cds.cern.ch/video/?"/> <meta content="CERN Document Server" property="og:site_name" /> <meta content="RF cavities are not only used to accelerate particle beams but they also kick beams or manipulate particles in the longitudinal phase space. 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Furthermore, the description of an RF cavity via lumped circuit parameters will be introduced." property="og:description" />  <meta content="summary" name="twitter:card" /> <style></style> </head> <body class="CERN32Document32Server search" lang="ja">  <div id="cern-toolbar"> <h1><a href="http://cern.ch" title="CERN">CERN <span>Accelerating science</span></a></h1> <ul> <li class="cern-accountlinks"><a class="cern-account" href="https://cds.cern.ch/youraccount/login?ln=ja&referer=https%3A//cds.cern.ch/record/2882166%3Fln%3Dja" title="Sign in to your CERN account">Sign in</a></li> <li><a class="cern-directory" href="http://cern.ch/directory" title="Search CERN resources and browse the directory">Directory</a></li> </ul> </div>   <div role="banner" class="clearfix" id="header"> <div class="header-inner inner"> <hgroup class="clearfix"> <h2 id="site-name"> <a rel="home" title="Home" href="/"><span>CERN Document Server</span></a> </h2> <h3 id="site-slogan">Access articles, reports and multimedia content in HEP</h3> </hgroup> <div role="navigation" id="main-navigation" class="cdsmenu"> <h2 class="element-invisible">Main menu</h2><ul class="links inline clearfix"> <li class="menu-386 first active-trail"><a class="active-trail" href="https://cds.cern.ch/?ln=ja">検索</a></li> <li class="menu-444 "><a class="" title="" href="https://cds.cern.ch/submit?ln=ja">アップロード</a></li> <li class="menu-426 "><a class="" href="https://cds.cern.ch/help/?ln=ja">ヘルプ</a></li> <li class="leaf hassubcdsmenu"> <a hreflang="en" class="header" href="https://cds.cern.ch/youraccount/display?ln=ja">あなたのページ</a> <ul class="subsubcdsmenu"><li><a href="https://cds.cern.ch/youralerts/list?ln=ja">Your alerts</a></li><li><a href="https://cds.cern.ch/yourbaskets/display?ln=ja">Your baskets</a></li><li><a href="https://cds.cern.ch/yourcomments?ln=ja">Your comments</a></li><li><a href="https://cds.cern.ch/youralerts/display?ln=ja">Your searches</a></li></ul></li> </ul> </div> </div> </div>  <table class="navtrailbox"> <tr> <td class="navtrailboxbody"> <a href="/?ln=ja" class="navtrail">ホーム</a> > Overview cavities II </td> </tr> </table> </div> <div class="pagebody"><div class="pagebodystripemiddle"> <div class="detailedrecordbox"> <div class="detailedrecordtabs"> <div> <ul class="detailedrecordtabs"><li class="on first"><a href="/record/2882166/?ln=ja">Information </a></li><li class="disabled"><a>Files </a></li></ul> <div id="tabsSpacer" style="clear:both;height:0px"> </div></div> </div> <div class="detailedrecordboxcontent"> <div class="top-left-folded"></div> <div class="top-right-folded"></div> <div class="inside">  <abbr class="unapi-id" title="2882166"></abbr>  <link href="/img/download_and_embed_buttons.css" rel="stylesheet" type="text/css" /> <style type="text/css">  .video_talk_wrapper{ max-width: 640px; 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'Less..' : 'More..'); return false; }); }); </script><table id="download_movie_box"><tr><td align="right" valign="top" id="download_movie_box_format_label">Mp4:</td><td><a id="download_movie_box_internal_link" href="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presentation-360p-quality.mp4">270p<br/><span>(presentation)</span></a></td><td><a id="download_movie_box_internal_link" href="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presentation-720p-quality.mp4">720p<br/><span>(presentation)</span></a></td><td><a id="download_movie_box_internal_link" href="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presentation-480p-quality.mp4">360p<br/><span>(presentation)</span></a></td><td><a id="download_movie_box_internal_link" href="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presentation-1080p-quality.mp4">1080p<br/><span>(presentation)</span></a></td><td><a id="download_movie_box_internal_link" href="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presenter-720p-quality.mp4">720p<br/><span>(presenter)</span></a></td><td><a id="download_movie_box_internal_link" href="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presenter-480p-quality.mp4">360p<br/><span>(presenter)</span></a></td><td><a id="download_movie_box_internal_link" href="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presenter-360p-quality.mp4">270p<br/><span>(presenter)</span></a></td><td><a id="download_movie_box_internal_link" href="https://lecturemedia.cern.ch/2023/1212689c17/1212689c17-presenter-1080p-quality.mp4">1080p<br/><span>(presenter)</span></a></td></table> </div> <div id="video_detailbox_embed" style="margin:10px"> <style type="text/css"> #embed_video_box{ background-color: #EEE; border: #DDD solid 1px; margin:0 auto; width: 90%; } #embed_video_box_header{ text-align: center; font-size:small; } </style><table id="embed_video_box"> <tr><th colspan="4" id="embed_video_box_header">Copy-paste this code into your page: </th></tr> <tr><td><textarea readonly="readonly" rows="3" cols="60"><iframe width="640" height="360" frameborder="0" src="https://cds.cern.ch/video/2882166?" allowfullscreen></iframe></textarea></td></tr> </table> </div> <tr><td class="formatRecordLabel"> <span style="white-space:nowrap;">Author(s)</span> </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/search?f=author&p=Gerigk%2C%20Frank&ln=ja">Gerigk, Frank</a> (speaker) (CERN)</td></tr> <tr><td class="formatRecordLabel"> Corporate <span style="white-space:nowrap;">author(s)</span> </td><td style="padding-left:5px;">CERN. Geneva</td></tr>  <script type="text/javascript"> /* * Changes the Imprint title to Date - Duration as requested by RQF0820114 * This is a hack not to touch the general imprint format element */ $(document).ready(function() { var collections = 'Indico'; if (collections.indexOf('E-LEARNING') > -1) { $('.cern-imprint-label').text('Date - Duration'); } }) </script> <tr><td class="formatRecordLabel cern-imprint-label"> Imprint </td><td style="padding-left:5px;">2023-06-21. - 3356.</td></tr>  <tr><td class="formatRecordLabel"> Series </td><td style="padding-left:5px;">(<a href="/search?f=490__a&p=CERN%20Accelerator%20School">CERN Accelerator School</a>)<br/>(<a href="/search?f=490__a&p=CAS%20course%20on%20%22RF%20for%20Accelerators%22%2C%2018%20June%20-%2001%20July%202023%2C%20Berlin%20Germany">CAS course on "RF for Accelerators", 18 June - 01 July 2023, Berlin Germany</a>)</td></tr> <tr><td class="formatRecordLabel"> Lecture note </td><td style="padding-left:5px;"> on 2023-06-21T09:30:00<br/></td></tr> <tr><td class="formatRecordLabel"> Subject category </td><td style="padding-left:5px;">CERN Accelerator School</td></tr> <tr><td class="formatRecordLabel"> Abstract </td><td style="padding-left:5px;">RF cavities are not only used to accelerate particle beams but they also kick beams or manipulate particles in the longitudinal phase space. They are used in linear and circular machines, some must have adjustable frequencies and some even accommodate multiple harmonics. Their operational use stretches from sub-per-mil duty cycles to continuous operation, they provide accelerating gradients from a few kilo Volts up to 100 million volts per metre using frequencies from a few Million Hertz up to 10s of Gigahertz. Depending on the specific use case their design and the used materials may be very different but they can all be classified using a well-established set of RF cavity characteristics. This lecture will derive these basic quantities from Maxwell’s equations and give examples of various cavity types. Furthermore, the description of an RF cavity via lumped circuit parameters will be introduced.</td></tr> <tr><td class="formatRecordLabel"> Copyright/License </td><td style="padding-left:5px;"><a href="https://copyright.web.cern.ch/">© 2023-2024 CERN</a></td></tr> <tr><td class="formatRecordLabel"> Submitted by </td><td style="padding-left:5px;"><a href="mailto:delphine.rivoiron@cern.ch">delphine.rivoiron@cern.ch</a></td></tr> </table> <br/><div><div style="clear: both;"> </div></div> <script type="text/javascript"> // Initially hide: $(".longCaption").hide(); // Allow to toggle visibility: $(".toggleLongCaption").toggle(function(){ $(this).siblings(".longCaption").show('fast'); var thisElem = $(this); thisElem.text(thisElem.text() === "more" ? "less" : "more"); },function(){ $(this).siblings(".longCaption").hide('fast'); var thisElem = $(this); thisElem.text(thisElem.text() === "more" ? 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