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<!DOCTYPE html>   <html class="no-js" lang="en">  <head> <meta charset="utf-8"> <meta name="tdm-reservation" content="1"/> <meta name="tdm-policy" content="https://opg.optica.org/policies/opg-tdm-policy.json"/> <meta name="viewport" content="width=device-width" initial-scale="1"> <meta http-equiv="X-UA-Compatible" content="IE=Edge"> <meta name="format-detection" content="telephone=no"> <title>Numerical simulation of noise in pulsed Brillouin scattering</title> <link title="schema(DC)" rel="schema.dc" href="http://purl.org/dc/elements/1.1/" /> <meta name="twitter:card" content="summary"> <meta name="twitter:description" content="We present a numerical method for modeling noise in stimulated Brillouin scattering (SBS). The model applies to dynamic cases such as optical pulses and accounts for both thermal noise and phase noise from the input lasers. Using this model, we compute the statistical properties of the optical and acoustic power in the pulsed spontaneous and stimulated Brillouin cases, and investigate the effects of gain and pulse width on noise levels. We find that thermal noise plays an important role in the statistical properties of the fields and that laser phase noise impacts the SBS interaction when the laser coherence time is close to the time scale of the optical pulses. This algorithm is applicable to arbitrary waveguide geometries and material properties and, thus, presents a versatile way of performing noise-based SBS numerical simulations, which are important in signal processing, sensing, microwave photonics, and opto-acoustic memory storage."> <meta name="twitter:image" content="https://opg.optica.org/getThumbnail.cfm?uri=josab-38-8-2343&o=y"> <meta name="twitter:site" content="@OpticaPubsGroup"> <meta name="twitter:title" content="Numerical simulation of noise in pulsed Brillouin scattering"> <meta name="dc.creator" content="Christopher G. Poulton"> <meta name="dc.creator" content="Oscar A. Nieves"> <meta name="dc.creator" content="Mikołaj K. Schmidt"> <meta name="dc.creator" content="Matthew D. Arnold"> <meta name="dc.creator" content="Michael J. Steel"> <meta name="dc.date" content="2021-08-01"> <meta name="dc.description" content="We present a numerical method for modeling noise in stimulated Brillouin scattering (SBS). The model applies to dynamic cases such as optical pulses and accounts for both thermal noise and phase noise from the input lasers. Using this model, we compute the statistical properties of the optical and acoustic power in the pulsed spontaneous and stimulated Brillouin cases, and investigate the effects of gain and pulse width on noise levels. We find that thermal noise plays an important role in the statistical properties of the fields and that laser phase noise impacts the SBS interaction when the laser coherence time is close to the time scale of the optical pulses. This algorithm is applicable to arbitrary waveguide geometries and material properties and, thus, presents a versatile way of performing noise-based SBS numerical simulations, which are important in signal processing, sensing, microwave photonics, and opto-acoustic memory storage."> <meta name="dc.identifier" content="doi:10.1364/JOSAB.428809"> <meta name="dc.language" content="EN"> <meta property="og:description" content="We present a numerical method for modeling noise in stimulated Brillouin scattering (SBS). The model applies to dynamic cases such as optical pulses and accounts for both thermal noise and phase noise from the input lasers. Using this model, we compute the statistical properties of the optical and acoustic power in the pulsed spontaneous and stimulated Brillouin cases, and investigate the effects of gain and pulse width on noise levels. We find that thermal noise plays an important role in the statistical properties of the fields and that laser phase noise impacts the SBS interaction when the laser coherence time is close to the time scale of the optical pulses. This algorithm is applicable to arbitrary waveguide geometries and material properties and, thus, presents a versatile way of performing noise-based SBS numerical simulations, which are important in signal processing, sensing, microwave photonics, and opto-acoustic memory storage."> <meta property="og:image" content="https://opg.optica.org/getThumbnail.cfm?uri=josab-38-8-2343&size=200&o=y"> <meta property="og:sitename" content="Optica Publishing Group"> <meta property="og:title" content="Numerical simulation of noise in pulsed Brillouin scattering"> <meta property="og:type" content="Article"> <meta property="og:url" content="https://opg.optica.org/josab/abstract.cfm?uri=josab-38-8-2343"> <meta name="dc.publisher" content="Optica Publishing Group"> <meta name="dc.rights" content="&#169; 2021 Optical Society of America"> <meta name="dc.source" content="JOSA B, Vol. 38, Issue 8, pp. 2343-2352"> <meta name="dc.subject" content="Brillouin scattering"> <meta name="dc.subject" content="Material properties"> <meta name="dc.subject" content="Microwave photonics"> <meta name="dc.subject" content="Numerical simulation"> <meta name="dc.subject" content="Optical properties"> <meta name="dc.subject" content="Signal processing"> <meta name="dc.title" content="Numerical simulation of noise in pulsed Brillouin scattering"> <meta name="citation_abstract_html_url" content="https://opg.optica.org/abstract.cfm?uri=josab-38-8-2343"> <meta name="citation_author" content="Oscar A. Nieves"> <meta name="citation_author_institution" content="School of Mathematical and Physical Sciences, University of Technology Sydney, 15 Broadway, Ultimo, NSW 2007, Australia"> <meta name="citation_author" content="Matthew D. Arnold"> <meta name="citation_author_institution" content="School of Mathematical and Physical Sciences, University of Technology Sydney, 15 Broadway, Ultimo, NSW 2007, Australia"> <meta name="citation_author" content="Michael J. Steel"> <meta name="citation_author_institution" content="Macquarie University Research Centre for Quantum Engineering (MQCQE), MQ Photonics Research Centre, Department of Physics and Astronomy, Macquarie University, Sydney NSW 2109, Australia"> <meta name="citation_author" content="Mikołaj K. Schmidt"> <meta name="citation_author_institution" content="Macquarie University Research Centre for Quantum Engineering (MQCQE), MQ Photonics Research Centre, Department of Physics and Astronomy, Macquarie University, Sydney NSW 2109, Australia"> <meta name="citation_author" content="Christopher G. Poulton"> <meta name="citation_author_institution" content="School of Mathematical and Physical Sciences, University of Technology Sydney, 15 Broadway, Ultimo, NSW 2007, Australia"> <meta name="citation_doi" content="10.1364/JOSAB.428809"> <meta name="citation_firstpage" content="2343"> <meta name="citation_fulltext_html_url" content="https://opg.optica.org/viewmedia.cfm?uri=josab-38-8-2343&seq=0&html=true"> <meta name="citation_issn" content="1520-8540"> <meta name="citation_issue" content="8"> <meta name="citation_journal_abbrev" content="J. Opt. Soc. Am. B, JOSAB"> <meta name="citation_journal_title" content="JOSA B"> <meta name="citation_keywords" content="Brillouin scattering;Material properties;Microwave photonics;Numerical simulation;Optical properties;Signal processing;"> <meta name="citation_language" content="EN"> <meta name="citation_lastpage" content="2352"> <meta name="citation_online_date" content="2021/07/21"> <meta name="citation_pdf_url" content="https://opg.optica.org/viewmedia.cfm?uri=josab-38-8-2343&seq=0"> <meta name="citation_publication_date" content="2021/08/01"> <meta name="citation_publisher" content="Optica Publishing Group"> <meta name="citation_title" content="Numerical simulation of noise in pulsed Brillouin scattering"> <meta name="citation_volume" content="38"> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content=""> <meta name="citation_reference" content="">  <script>(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); 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class="fit-thumbnail-img hidden-xs"> </div> </div> </div> <div class="col-md-10 col-sm-10 pl-4 mb-1" style=""> <h1 class="article-title"> Numerical simulation of noise in pulsed Brillouin scattering </h1> <p class="article-authors"> Oscar A. Nieves, Matthew D. Arnold, Michael J. Steel, Mikołaj K. Schmidt, and Christopher G. Poulton </p> <div> <div class="btn-group article-affiliations-dropdown dropdown hidden-xs mr-2"> <a data-bs-toggle="dropdown" id="author-affiliations-dropdown"> Author Information <span class="caret"></span> </a> <div id="authorAffiliations" class="article-author-affiliations dropdown-menu"> <h5>Author Affiliations</h5> <p><strong> Oscar A. Nieves,<sup>1,</sup><sup>*</sup> Matthew D. Arnold,<sup>1</sup> Michael J. Steel,<sup>2</sup> Mikołaj K. Schmidt,<sup>2</sup> and Christopher G. Poulton<sup>1</sup> </strong></p> <p><em> <sup>1</sup>School of Mathematical and Physical Sciences, University of Technology Sydney, 15 Broadway, Ultimo, NSW 2007, Australia </em></p> <p><em> <sup>2</sup>Macquarie University Research Centre for Quantum Engineering (MQCQE), MQ Photonics Research Centre, Department of Physics and Astronomy, Macquarie University, Sydney NSW 2109, Australia </em></p> <p> <sup>*</sup>Corresponding author: <a href="mailto:oscar.a.nievesgonzalez@student.uts.edu.au">oscar.a.nievesgonzalez@student.uts.edu.au</a> </p> <h5 class="mb-0">ORCID</h5> <table> <tr> <td><strong>Matthew D. <?xml version="1.0" encoding="UTF-8"?><surname>Arnold</surname></strong></td> <td nowrap class="pl-1"><a href="https://orcid.org/0000-0003-4164-0242" target="_blank" class="orcida"><img class="orcid-logo" src="/images/orcid_16x16.png" alt="orcid link"></a>  <a href="https://orcid.org/0000-0003-4164-0242" target="_blank" class="orcida">https://orcid.org/0000-0003-4164-0242</a></td> </tr> <tr> <td><strong>Michael J. <?xml version="1.0" encoding="UTF-8"?><surname>Steel</surname></strong></td> <td nowrap class="pl-1"><a href="https://orcid.org/0000-0003-3541-6439" target="_blank" class="orcida"><img class="orcid-logo" src="/images/orcid_16x16.png" alt="orcid link"></a>  <a href="https://orcid.org/0000-0003-3541-6439" target="_blank" class="orcida">https://orcid.org/0000-0003-3541-6439</a></td> </tr> <tr> <td><strong>Mikołaj K. <?xml version="1.0" encoding="UTF-8"?><surname>Schmidt</surname></strong></td> <td nowrap class="pl-1"><a href="https://orcid.org/0000-0001-9874-0899" target="_blank" class="orcida"><img class="orcid-logo" src="/images/orcid_16x16.png" alt="orcid link"></a>  <a href="https://orcid.org/0000-0001-9874-0899" target="_blank" class="orcida">https://orcid.org/0000-0001-9874-0899</a></td> </tr> <tr> <td><strong>Christopher G. <?xml version="1.0" encoding="UTF-8"?><surname>Poulton</surname></strong></td> <td nowrap class="pl-1"><a href="https://orcid.org/0000-0002-2707-3424" target="_blank" class="orcida"><img class="orcid-logo" src="/images/orcid_16x16.png" alt="orcid link"></a>  <a href="https://orcid.org/0000-0002-2707-3424" target="_blank" class="orcida">https://orcid.org/0000-0002-2707-3424</a></td> </tr> </table> </div> </div> <div class="btn-group hidden-xs hidden-sm"> <a data-bs-toggle="dropdown" id="search-by-author-dropdown"> <i class="fal fa-search p__1--sm"></i> Find other works by these authors <span class="caret"></span> </a> <ul class="dropdown-menu" id="search-by-author"> <li><a href="search.cfm?a=O Nieves">O Nieves</a></li> <li><a href="search.cfm?a=M Arnold">M Arnold</a></li> <li><a href="search.cfm?a=M Steel">M Steel</a></li> <li><a href="search.cfm?a=M Schmidt">M Schmidt</a></li> <li><a href="search.cfm?a=C Poulton">C Poulton</a></li> </ul> </div> </div> </div> </div> </div> </div> <div class="row"> <div class="col-md-12 pr-0"> <div class="col-md-2 pr-0 pl-0"> <a name="scrollUp"></a> <div class="access-permissions inaccessible" style="margin-left:-20px;"> <strong> Not Accessible</strong> <p class="muted">Your library or personal account may give you access</p> </div> </div> <div class="col-md-10 pr-0" style="margin-left:-6px;"> <div class="abstract-tools-header"> <div class="article-tools d-lg-flex"> <ul class="tool-list-one"> <li class="pdf-download"><a href="viewmedia.cfm?uri=josab-38-8-2343&seq=0" target="_blank" aria-label="Pdf icon"><i class="fal fa-file-pdf"></i><span class="hidden-xs"><br>Get PDF</span></a></li> <li><a href="mailto:?subject=Article Published in JOSA B&body=I would like to notify you about the following article published in JOSA B:%0AOscar A. 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xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">We present a numerical method for modeling noise in stimulated Brillouin scattering (SBS). The model applies to dynamic cases such as optical pulses and accounts for both thermal noise and phase noise from the input lasers. Using this model, we compute the statistical properties of the optical and acoustic power in the pulsed spontaneous and stimulated Brillouin cases, and investigate the effects of gain and pulse width on noise levels. We find that thermal noise plays an important role in the statistical properties of the fields and that laser phase noise impacts the SBS interaction when the laser coherence time is close to the time scale of the optical pulses. This algorithm is applicable to arbitrary waveguide geometries and material properties and, thus, presents a versatile way of performing noise-based SBS numerical simulations, which are important in signal processing, sensing, microwave photonics, and opto-acoustic memory storage.</p></p> <p>© 2021 Optical Society of America</p> <a href="viewmedia.cfm?uri=josab-38-8-2343&seq=0&html=true" id="link-full">Full Article</a>  |  <a href="viewmedia.cfm?uri=josab-38-8-2343&seq=0" target="_blank" id="link-pdf">PDF Article</a> <hr style="margin-top:5em;"> <strong>More Like This</strong> <div class="content-item media-twbs"> <div class="media-twbs-left"> <img class="media-object" src="/getThumbnail.cfm?uri=oe-29-3-3132&o=y" width="50" height="50" aria-hidden="true" role="presentation"> </div> <div class="media-twbs-body"> <a class="js-relatedArticleLink" href="/oe/abstract.cfm?uri=oe-29-3-3132">Noise and pulse dynamics in backward stimulated Brillouin scattering</a> <p>Oscar A. 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B <strong>26</strong>(7) 1281-1288 (2009)</span></p> </div> </div> </div> <div style="width:100%; padding: 40px 0px 0px 0px;"> <a href="abstract.cfm?uri=josab-38-8-2338" class="ft-article-prev"><i class="fal fa-caret-left"></i> Previous Article</a> <a href="abstract.cfm?uri=josab-38-8-2353" class="ft-article-next">Next Article <i class="fal fa-caret-right"></i></a> </div> </div> <div id="articleDataAvailability" class="article-section page-section "> <?xml version="1.0" encoding="UTF-8"?><da_html><h3 class="article-heading">Data Availability</h3><p>Data underlying the results presented in this paper are not publicly available at this time, but the data and accompanying code used to generate it can be obtained from the authors on reasonable request.</p></da_html> </div> <div id="articleReferences" class="article-section page-section small"> <div id="refsList"></div> </div> <div id="articleCitations" class="article-section page-section small"> <h3 class="article-heading">Cited By</h3> <p>You do not have subscription access to this journal. 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<button type="button" class="close" data-bs-dismiss="modal" aria-hidden="true">×</button> <h4 class="modal-title" id="tablealgo1Label">Algorithm 1.</h4> </div> <div class="modal-body"> <h4>Numerical algorithm</h4> <div class="table-responsive"><?xml version="1.0" encoding="UTF-8"?><table CLASS="table" frame="box" rules="none" width="240"><colgroup span="1"><col align="left" span="1" width="100%"/></colgroup><tbody><tr><td colspan="1" rowspan="1">1: Compute <inline-formula><alternatives><math display="inline"> <mi>D</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula> for all <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">2: Compute <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>ϕ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula> for all <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">3: Set <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo>=</mo> <mn>0</mn> </math></alternatives></inline-formula> inside <inline-formula><alternatives><math display="inline"> <mi>z</mi> <mo>∈</mo> <mo stretchy="false">[</mo> <mn>0</mn> <mo>,</mo> <mi>L</mi> <mo stretchy="false">]</mo> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">4: <strong>for</strong> <inline-formula><alternatives><math display="inline"> <mi>n</mi> <mo>=</mo> <mn>1</mn> </math></alternatives></inline-formula> to <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>N</mi> <mi>t</mi> </msub> </mrow> <mo>−</mo> <mn>1</mn> </math></alternatives></inline-formula> <strong>do</strong> <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <mo>⊳</mo> <msub> <mi>N</mi> <mi>t</mi> </msub> </mrow> <mo>=</mo> </math></alternatives></inline-formula> size of time grid</td></tr><tr><td colspan="1" rowspan="1">5: Insert noisy boundary conditions in <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> </math></alternatives></inline-formula> at <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">6: Shift optical fields <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> </math></alternatives></inline-formula> in space by <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Δ</mi> <mi>z</mi> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">7: Compute interaction integral <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">8: Compute <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula> from <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">9: Compute <inline-formula><alternatives><math display="inline"> <mi>b</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1"> <strong>end for</strong></td></tr></tbody></table></div> </div> <div class="modal-footer"> <button type="button" class="btn btn-default" data-bs-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="modal fade full" id="tablet001" tabindex="-1" role="dialog" aria-labelledby="tablet001Label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-bs-dismiss="modal" aria-hidden="true">×</button> <h4 class="modal-title" id="tablet001Label">Table 1.</h4> </div> <div class="modal-body"> <h4>Simulation Parameters Using a Chalcogenide Waveguide of the Type Shown in [<span class="ref"><a data-action="change-section" data-target="articleBody" href="#ref33" onclick="highlightRef('ref33')">33</a></span>]</h4> <div class="table-responsive"><?xml version="1.0" encoding="UTF-8"?><table CLASS="table" frame="hsides" rules="groups" width="240"><colgroup span="1"><col align="left" span="1" width="0%"/><col align="center" span="1" width="0%"/></colgroup><thead><tr><th colspan="1" rowspan="1">Parameter</th><th colspan="1" rowspan="1">Value</th></tr></thead><tbody><tr><td colspan="1" rowspan="1">Waveguide length <inline-formula><alternatives><math display="inline"> <mi>L</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">50 cm</td></tr><tr><td colspan="1" rowspan="1">Waveguide temperature <inline-formula><alternatives><math display="inline"> <mi>T</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">300 K</td></tr><tr><td colspan="1" rowspan="1">Refractive index <inline-formula><alternatives><math display="inline"> <mi>n</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">2.44</td></tr><tr><td colspan="1" rowspan="1">Acoustic velocity <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>v</mi> <mi>a</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">2500 m/s</td></tr><tr><td colspan="1" rowspan="1">Brillouin linewidth <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>ν</mi> <mi>B</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">30 MHz</td></tr><tr><td colspan="1" rowspan="1">Brillouin shift <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Ω</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> <mi>π</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">7.7 GHz</td></tr><tr><td colspan="1" rowspan="1">Brillouin gain parameter <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>g</mi> <mn>0</mn> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1"><inline-formula><alternatives><math display="inline"> <mn>423</mn> <mspace width="thickmathspace"/> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">W</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">Optical wavelength <inline-formula><alternatives><math display="inline"> <mi>λ</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">1550 nm</td></tr><tr><td colspan="1" rowspan="1">Laser linewidth <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>ν</mi> <mi>L</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">100 kHz</td></tr><tr><td colspan="1" rowspan="1">Peak pump power</td><td colspan="1" rowspan="1">1 W</td></tr><tr><td colspan="1" rowspan="1">Peak Stokes power</td><td colspan="1" rowspan="1">0–1 mW</td></tr><tr><td colspan="1" rowspan="1">Simulation time <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>f</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">up to 80 ns</td></tr><tr><td colspan="1" rowspan="1">Pump pulse FWHM</td><td colspan="1" rowspan="1">0.5–5 ns</td></tr><tr><td colspan="1" rowspan="1">Stokes pulse FWHM</td><td colspan="1" rowspan="1">1 ns</td></tr><tr><td colspan="1" rowspan="1">Grid size (space) <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>N</mi> <mi>z</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">1001</td></tr><tr><td colspan="1" rowspan="1">Grid size (time) <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>N</mi> <mi>t</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">2601</td></tr><tr><td colspan="1" rowspan="1">Step-size <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Δ</mi> <mi>t</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">4.07 ps</td></tr></tbody></table></div> </div> <div class="modal-footer"> <button type="button" class="btn btn-default" data-bs-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="modal fade full" id="allTablesModal" tabindex="-1" role="dialog" aria-labelledby="allTablesLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-bs-dismiss="modal" aria-hidden="true">×</button> <h4 class="modal-title" id="allTablesLabel">Tables (2)</h4> </div> <div class="modal-body"> <h4>Algorithm 1.</h4> <p>Numerical algorithm</p> <div class="table-responsive"><?xml version="1.0" encoding="UTF-8"?><table CLASS="table" frame="box" rules="none" width="240"><colgroup span="1"><col align="left" span="1" width="100%"/></colgroup><tbody><tr><td colspan="1" rowspan="1">1: Compute <inline-formula><alternatives><math display="inline"> <mi>D</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula> for all <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">2: Compute <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>ϕ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula> for all <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">3: Set <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo>=</mo> <mn>0</mn> </math></alternatives></inline-formula> inside <inline-formula><alternatives><math display="inline"> <mi>z</mi> <mo>∈</mo> <mo stretchy="false">[</mo> <mn>0</mn> <mo>,</mo> <mi>L</mi> <mo stretchy="false">]</mo> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">4: <strong>for</strong> <inline-formula><alternatives><math display="inline"> <mi>n</mi> <mo>=</mo> <mn>1</mn> </math></alternatives></inline-formula> to <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>N</mi> <mi>t</mi> </msub> </mrow> <mo>−</mo> <mn>1</mn> </math></alternatives></inline-formula> <strong>do</strong> <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <mo>⊳</mo> <msub> <mi>N</mi> <mi>t</mi> </msub> </mrow> <mo>=</mo> </math></alternatives></inline-formula> size of time grid</td></tr><tr><td colspan="1" rowspan="1">5: Insert noisy boundary conditions in <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> </math></alternatives></inline-formula> at <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">6: Shift optical fields <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> </math></alternatives></inline-formula> in space by <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Δ</mi> <mi>z</mi> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">7: Compute interaction integral <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">8: Compute <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula> from <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>n</mi> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">9: Compute <inline-formula><alternatives><math display="inline"> <mi>b</mi> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>z</mi> <mi>j</mi> </msub> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>+</mo> <mn>1</mn> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1"> <strong>end for</strong></td></tr></tbody></table></div> <h4>Table 1.</h4> <p>Simulation Parameters Using a Chalcogenide Waveguide of the Type Shown in [<span class="ref"><a data-action="change-section" data-target="articleBody" href="#ref33" onclick="highlightRef('ref33')">33</a></span>]</p> <div class="table-responsive"><?xml version="1.0" encoding="UTF-8"?><table CLASS="table" frame="hsides" rules="groups" width="240"><colgroup span="1"><col align="left" span="1" width="0%"/><col align="center" span="1" width="0%"/></colgroup><thead><tr><th colspan="1" rowspan="1">Parameter</th><th colspan="1" rowspan="1">Value</th></tr></thead><tbody><tr><td colspan="1" rowspan="1">Waveguide length <inline-formula><alternatives><math display="inline"> <mi>L</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">50 cm</td></tr><tr><td colspan="1" rowspan="1">Waveguide temperature <inline-formula><alternatives><math display="inline"> <mi>T</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">300 K</td></tr><tr><td colspan="1" rowspan="1">Refractive index <inline-formula><alternatives><math display="inline"> <mi>n</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">2.44</td></tr><tr><td colspan="1" rowspan="1">Acoustic velocity <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>v</mi> <mi>a</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">2500 m/s</td></tr><tr><td colspan="1" rowspan="1">Brillouin linewidth <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>ν</mi> <mi>B</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">30 MHz</td></tr><tr><td colspan="1" rowspan="1">Brillouin shift <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Ω</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> <mi>π</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">7.7 GHz</td></tr><tr><td colspan="1" rowspan="1">Brillouin gain parameter <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>g</mi> <mn>0</mn> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1"><inline-formula><alternatives><math display="inline"> <mn>423</mn> <mspace width="thickmathspace"/> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">m</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">W</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math></alternatives></inline-formula></td></tr><tr><td colspan="1" rowspan="1">Optical wavelength <inline-formula><alternatives><math display="inline"> <mi>λ</mi> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">1550 nm</td></tr><tr><td colspan="1" rowspan="1">Laser linewidth <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Δ</mi> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>ν</mi> <mi>L</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">100 kHz</td></tr><tr><td colspan="1" rowspan="1">Peak pump power</td><td colspan="1" rowspan="1">1 W</td></tr><tr><td colspan="1" rowspan="1">Peak Stokes power</td><td colspan="1" rowspan="1">0–1 mW</td></tr><tr><td colspan="1" rowspan="1">Simulation time <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mi>f</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">up to 80 ns</td></tr><tr><td colspan="1" rowspan="1">Pump pulse FWHM</td><td colspan="1" rowspan="1">0.5–5 ns</td></tr><tr><td colspan="1" rowspan="1">Stokes pulse FWHM</td><td colspan="1" rowspan="1">1 ns</td></tr><tr><td colspan="1" rowspan="1">Grid size (space) <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>N</mi> <mi>z</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">1001</td></tr><tr><td colspan="1" rowspan="1">Grid size (time) <inline-formula><alternatives><math display="inline"> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>N</mi> <mi>t</mi> </msub> </mrow> </math></alternatives></inline-formula></td><td colspan="1" rowspan="1">2601</td></tr><tr><td colspan="1" rowspan="1">Step-size <inline-formula><alternatives><math display="inline"> <mi mathvariant="normal">Δ</mi> <mi>t</mi> 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class="sri-journal"><%= access %> <%= journalTitle %> <strong><%= volume %></strong>(<%= issue %>) <%=firstPage %>  <strong>View:</strong> <a href="<%= path %>" target="_blank">Image</a></li> </ul> </div> <div class="sri-image-details"> <img src="<%= imgLink%>" class="sri-image" height="100" width="100" alt="<%=title%> thumbnail" loading="lazy" style="max-width: 150px; height: auto;"/> <p class="sri-abstract"> <strong>Caption:</strong> <%= figLabel %><%= caption %></p> </div> </li> </script> <script type="text/template" id="search-result-hit"> <li>…<%= hitText %>…</li> </script> <script type="text/template" id="search-result-snippet-highlighted"><strong><%= text %></strong></script> <script type="text/template" id="search-result-snippet-xinfo"> [<%= xinfo %>]</script> <script type="text/template" id="search-result-snippet-pdf"><a href="<%= pdfUri %>" target="_blank">PDF</a></script> <script type="text/template" id="search-result-snippet-html"><a href="<%= htmlUri %>" 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class="sf-list_input" type="checkbox" name="publications"/> <label class="sf-list_label" for="facet-publications-journals">Journals <span class="facet-count">(<%= totalJournals %>)</span></label></li> <li class="sf-list_list-item"><input id="facet-publications-proceedings" class="sf-list_input" type="checkbox" name="proceedings"/> <label class="sf-list_label" for="facet-publications-proceedings">Conferences <span class="facet-count">(<%= totalProceedings %>)</span></label></li> <li class="sf-list_list-item"><input id="facet-publications-reports" class="sf-list_input" type="checkbox" name="reports"/> <label class="sf-list_label" for="facet-publications-reports">Industry Reports <span class="facet-count">(<%= totalReports %>)</span></label></li> </ul> </div> <div class="sf-module sf-journals"> <div class="row2"> <p id="facet-journal-show" class="sf-group-title collapsed" style="text-transform: none !important;">Journals</p> <div id="sortJournal" class="sf-sort"></div> </div> <div id="facet-journal-values"> </div> </div> <div class="sf-module sf-proceedings"> <div class="row2"> <p id="facet-proceeding-show" class="sf-group-title collapsed" style="text-transform: none !important;">Conferences</p> <div id="sortProceeding" class="sf-sort"></div> </div> <div id="facet-proceeding-values"></div> </div> </script> <script type="text/template" id="search-result-facet-basics"> <ul class="sf-list"> <li class="sf-select-all"><input id="<%= allId %>" type="checkbox" checked="checked" disabled="disabled"/> <label for="<%= allId %>">All</label></li> <%= values %> <li class="sf-expanded"> <a href="#" id="more-<%= allId %>" class="search-panel_more-link" data-bs-toggle="modal" data-bs-target="#modal-<%= allId %>">more <%=name%> »</a> <div class="modal full fade" id="modal-<%= allId %>"> <div class="modal-dialog"> <div class="modal-content search"> <div class="row mbottom-20"> <div class="col-md-4"> <h3 class="modal-header search"><%= modalTitle %></h3> </div> <div class="col-md-6 col-md-offset-2"> <input id="input-<%= allId%>" type="text" class="form-control selectized" placeholder="(type names or look up list)" tabindex="-1" aria-label="type names or look up list"></input> <div class="selectize-control form-control multi"></div> </div> </div> <div class="modal_option-container mbottom-20 scrollable" id="moreUl-<%=allId%>"> </div> <hr> <div class="d-flex"> <a href="#" id="apply-<%= allId %>" class="btn btn-primary mr-1" data-bs-dismiss="modal">Apply Filters</a> <a href="#" id="cancel-<%= allId %>" class="btn btn-default" data-bs-dismiss="modal">Cancel</a> </div> </div> </div> </div> </li> </ul> </script> <script type="text/template" id="search-result-facet-terms"> <ul class="sf-list"> <li class="sf-select-all"> <input id="<%= allId %>" type="checkbox" checked="checked" disabled="disabled"/> <label for="<%= allId %>">Remove all topic filters</label> </li> <%= values %> <li class="sf-expanded"> <a href="#" id="more-<%= allId %>" class="search-panel_more-link hidden-xs" data-bs-toggle="modal" data-bs-target="#modal-<%= allId %>">include more topics »</a> <div class="modal full fade" id="modal-<%= allId %>"> <div class="modal-dialog"> <div class="modal-content search"> <div class="row mbottom-20"> <div class="col-md-4"> <h3 class="modal-header search">Optics & Photonics Topics</h3> </div> <div class="col-md-6 col-md-offset-2"> <input id="input-<%= allId%>" type="text" class="form-control" placeholder="Search for a specific topic" tabindex="-1" aria-label="Search for a specific topic"></input> </div> </div> <div class="row mbottom-20"> <div class="col-md-12"> <strong>Browse the topics:</strong> Click the <svg class="selection-list_arrow"><use xlink:href="#right-arrow" /></svg> to reveal subtopics. Use the checkbox to select a topic to filter your search. </div> </div> <div class="modal_option-container mbottom-20 scrollable" id="moreUl-<%=allId%>"> </div> <div class="row"> <div class="col-md-12"> <strong>Selected Topics</strong> </div> </div> <div id="moreSelectedList"></div> <div class="row"><div class="col-md-12"> </div></div> <div class="d-flex"> <a href="#" id="apply-<%= allId %>" class="btn btn-primary mr-1" data-bs-dismiss="modal">Add Selected Topic Filters</a> <a href="#" id="cancel-<%= allId %>" class="btn btn-default" data-bs-dismiss="modal">Cancel</a> </div> </div> </div> </div> </li> </ul> </script> <script type="text/template" id="search-result-facet-journal-proceedings"> <ul class="sf-list"> <li class="sf-select-all"><input id="<%= allId %>" type="checkbox" checked> <label for="<%= allId %>">All</label></li> <%= values %> <li class="sf-expanded"> <a href="#" id="more-<%= allId %>" class="search-panel_more-link" data-bs-toggle="modal" data-bs-target="#modal-<%= allId %>" class="sf-expanded-toggle">more <%=name%> »</a> <div class="modal full fade" id="modal-<%= allId %>"> <div class="modal-dialog"> <div class="modal-content search"> <div class="row mbottom-20"> <div class="col-md-4"> <h3 class="modal-header search"><%= modalTitle%></h3> </div> <div class="col-md-6 col-md-offset-2"> <input id="input-<%= allId%>" type="text" class="form-control selectized" placeholder="(type names or look up list)" tabindex="-1" aria-label="type names or look up list"></input> <div class="selectize-control form-control multi"></div> </div> </div> <div class="modal_option-container mbottom-20 scrollable" id="moreUl-<%=allId%>"> </div> <hr> <div class="d-flex"> <a href="#" id="apply-<%= allId %>" class="btn btn-primary mr-1" data-bs-dismiss="modal">Apply Filters</a> <a href="#" id="cancel-<%= allId %>" class="btn btn-default" data-bs-dismiss="modal">Cancel</a> </div> </div> </div> </div> </li> </ul> </script> <script type="text/template" id="search-result-facet-content"> <ul class="sf-list"> <%= values %> </ul> </script> <script type="text/template" id="facet-more-new-content"> <div class="more-columns_container"> <div class="more-columns_column"><ul class="selection-list"><%= val1%></ul></div> <div class="more-columns_column"><ul class="selection-list"><%= val2%></ul></div> <div class="more-columns_column"><ul class="selection-list"><%= val3%></ul></div> </div> </script> <script type="text/template" id="facet-more-terms-div"> <div class="more-columns_container"> <div class="more-columns_column" id="<%= name%>-col1"><%= val%></div> <div class="more-columns_column" id="<%= name%>-col2"></div> <div class="more-columns_column" id="<%= name%>-col3"></div> </div> </script> <script type="text/template" id="facet-more-terms-list"> <ul class="selection-list"><%= val%></ul> </script> <script type="text/template" id="search-result-facet-more"> <a id="more-<%= name %>" href="#" class="sidebar_more white">More</a> </script> <script type="text/template" id="search-result-facet-detail"> <a href="#" id="details-link-<%= id %>" class="sidebar_more black">details</a> <ul id="details-container-<%= id %>" class="list-unstyled" style="display:none;" data-value="<%= valName %>"></ul> </script> <script type="text/template" id="search-result-facet-value"> <li class="sf-list_list-item <%= rowclass %>" style="<%= display %>"> <input type="checkbox" class="sf-list_input <%= boxstyle %>" name="chkFacet-<%= name %>" value="<%= code %>" aria-label="<%= dataValue %>" data-value="<%= dataValue %>" id="<%= id %>" <%= checked %> acronym="<%= acronym %>" /> <% if (hasCloseButton === true) { %> <div <% if (isbold != '') { %> class="sf-list_label sf-authors-bold" <% } else { %> class="sf-list_label" style="margin-bottom:5px"<% } %>><%= valName %><span class="facet-count"><%= valCount %></span> <span class="fal fa-times-circle facet-value_toggle purple-color"></span></div> <%= detail%> <% } else { %> <label <%= title%> for="<%= id %>" <% if (isbold != '') { %> class="sf-list_label sf-authors-bold" <% } else { %> class="sf-list_label" <% } %>><%= valName %> <span class="facet-count"><%= valCount %></span></label> <%= detail%> <% } %> </li> </script> <script type="text/template" id="more-term-facet-value"> <li class="selection-list_list-item" style="<%= display %>"> <input id="<%= labelid %>" class="selection-list_checkbox" type="checkbox" name="<%= name %>" data-value="<%= dataValue %>" <%= checked %> <%= boxstyle %>/><div class="selection-list_link" name="text-<%= name %>" data-value="<%= dataValue %>" <%= clazz %>><label for="<%= labelid %>" style="font-weight:normal;margin-bottom:0px;"><%= valName %><% if (valCount != "") { %> <span class="more-facet-count"><%= valCount %></span><% } %></label></div><% if (isx === true) { %><a href="#" aria-label="selection expander" class="selection-list_expander <%= inputname%>-expandin"><svg class="selection-list_arrow"><use xlink:href="#right-arrow" /></svg></a><% } %> </li> </script> <script type="text/template" id="more-term-selected"> <div class="selected-facet" data-topic="<%= finalTopic %>"> <%= val %> <a href="#" name="selected-x" aria-label="<%= dataValue %>" data-value="<%= dataValue %>" count="<%= cnt %>" class="selected-facet_close" ><span class="fal fa-times-circle purple-color"></span></a> </div> </script> <script type="text/template" id="search-result-facet-class"> class="" </script> <script type="text/template" id="search-result-facet-style-normal"> style="font-weight:normal" </script> <script type="text/template" id="search-result-facet-sort-popup"> <p> <input type="radio" id='<%= name %>:item-order:ascending' name="facetSortBy" value='<%= name %>:item-order:ascending' > <label for='<%= name %>:item-order:ascending'><%= label %> ascending</label><br> <input type="radio" id='<%= name %>:item-order:descending' name="facetSortBy" value='<%= name %>:item-order:descending' > <label for='<%= name %>:item-order:descending'><%= label %> descending</label><br> <input type="radio" id='<%= name %>:frequency-order:ascending' name="facetSortBy" value='<%= name %>:frequency-order:ascending' > <label for='<%= name %>:frequency-order:ascending'>Frequency ascending</label><br> <input type="radio" id='<%= name %>:frequency-order:descending' name="facetSortBy" value='<%= name %>:frequency-order:descending'> <label for='<%= name %>:frequency-order:descending'>Frequency descending</label> </p> </script> <script type="text/template" id="filter-selected"> <li class="label filter-tag filter-tag--<%= filterType %>"> <%= filterValue %> <a class="inline-dismiss"><span name="filterSelected" id="<%= filterId %>" class="fal fa-times purple-color" data-value="<%= filterValue %>"></span></a></li> </script> <script type="text/template" id="filter-search"> <li class="filter-search label filter-tag filter-tag--<%= filterType %>"> <%= filterLabel %> <a class="inline-dismiss"><span name="filterSelected" id="<%= filterId %>" class="fal fa-times purple-color" data-value="<%= filterValue %>"></span></a></li> </script> <script type="text/template" id="publication-sort-template"> <button class="sf-sort-toggle"><i class="fas fa-sort"></i><span class="sr-only">sort</span></button> <div class="sf-sort-popup"> <ul> <li class="active"><a href="#" name="sort-<%= type%>" data-value="<%= type%>:frequency-order:descending">Article Count</a></li> <li><a href="#" name="sort-<%= type%>" data-value="<%= type%>:item-order:ascending">Alphabetical A>Z</a></li> <li><a href="#" name="sort-<%= type%>" data-value="<%= type%>:item-order:descending">Alphabetical Z>A</a></li> </ul> </div> </script> <script type="text/template" id="author-topic-sort-template"> <button class="sf-sort-toggle"><i class="fas fa-sort"></i><span class="sr-only">sort</span></button> <div class="sf-sort-popup"> <ul> <li class="active"><a href="#" name="sort-<%= type%>" data-value="<%= type%>:frequency-order:descending">Article Count</a></li> <li><a href="#" name="sort-<%= type%>" data-value="<%= type%>:item-order:ascending">Alphabetical A>Z</a></li> <li><a href="#" name="sort-<%= type%>" data-value="<%= type%>:item-order:descending">Alphabetical Z>A</a></li> </ul> </div> </script> <script type="text/template" id="year-sort-template"> <button class="sf-sort-toggle"><i class="fas fa-sort"></i><span class="sr-only">sort</span></button> <div class="sf-sort-popup"> <ul> <li class="active"><a href="#" name="sort-year" data-value="year:item-order:descending">Newest date first</a></li> <li><a href="#" name="sort-year" data-value="year:item-order:ascending">Oldest date first</a></li> <li><a href="#" name="sort-year" data-value="year:frequency-order:descending">Article Count</a></li> </ul> </div> </script> <script type="text/template" id="more-pop-up-template"> <%= values%> </script> <script type="text/template" id="loading-gif-template"> <li><img style="position:center; display:none;" src="../images/ajax-loader.gif"/></li> </script> <script type="text/template" id="all-plus-separator-template"> <li class="sf-select-all"><input id="<%= allId %>" type="checkbox" > <label for="<%= allId %>">All</label></li> </script> <script type="text/template" id="more-topic-column-header"> <div class="selection-list_header"><%= name %></div> </script> <script type="text/template" id="loader"> <div class="progress"> <div class="progress-bar progress-bar-striped active" role="progress-bar" id="progress-<%= allId %>"></div> </div> </script> <script type="text/javascript"> $(document).ready(function() { if (location.hash.indexOf("figanchor") != -1) { let figHash = location.hash; $("#figurestablink").click(); window.location.hash = figHash; $(location.hash).get(0).scrollIntoView({behavior: "smooth"}); } $.get('/checkjs.cfm?s=F6MBEPJ'); populateRecentPages(); $("img").removeClass("lazyimg").unveil(100); }); </script> <script type="text/javascript"> var gaAcct = "UA-1200622-15"; function downloadJSAtOnload() { var element = document.createElement("script"); 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