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var affiliation = $(this).data('affiliation') + '</br>'; var contribution = $(this).data('contribution') + '</br>'; $.magnificPopup.open({ items: { src: '<div id="ovelary-mathjax" class="overlay-white oc-content overlay-white-500">' + author + affiliation + contribution + '</div>', type: 'inline' }, callbacks: { open: function() { var div = document.getElementById("overlay-mathjax") MathJax.Hub.Queue(["Typeset", MathJax.Hub, div]); }, } }) }) }); </script> <tr><td class="formatRecordLabel"> Title </td><td style="padding-left:5px;"><b>Statistical Properties of Schottky Spectra</b></td></tr> <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=Lannoy%2C%20Christophe&ln=zh_TW">Lannoy, Christophe</a> (CERN ; EPFL, Lausanne, FSL) ; <a href="https://cds.cern.ch/search?f=author&p=Alves%2C%20Diogo&ln=zh_TW">Alves, Diogo</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=%C5%81asocha%2C%20Kacper&ln=zh_TW">Łasocha, Kacper</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Mounet%2C%20Nicolas&ln=zh_TW">Mounet, Nicolas</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Pieloni%2C%20Tatiana&ln=zh_TW">Pieloni, Tatiana</a> (EPFL, Lausanne, FSL)</td></tr> <tr><td class="formatRecordLabel"> Publication </td><td style="padding-left:5px;">2023</td></tr> <tr><td class="formatRecordLabel"> Number of pages </td><td style="padding-left:5px;">5</td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.18429/JACoW-IBIC2023-WEP035"><i>JACoW IBIC</i> 2023 (2023) WEP035</a> </a></td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/record/2900961">12th International Beam Instrumentation Conference (IBIC 2023)</a>, Saskatoon, Canada, 10 - 14 Sep 2023, pp.WEP035</td></tr> <tr><td class="formatRecordLabel"> DOI </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.18429/JACoW-IBIC2023-WEP035" title="DOI" target="_blank">10.18429/JACoW-IBIC2023-WEP035</a> <tr><td class="formatRecordLabel"> Subject category </td><td style="padding-left:5px;">Accelerators and Storage Rings</td></tr> <tr><td class="formatRecordLabel"> Abstract </td><td style="padding-left:5px;">Schottky signals are used for non-invasive beam diagnostics as they contain information on various beam and machine parameters. The instantaneous Schottky signal is, however, only a single realisation of a random process, implicitly depending on the discrete distribution of synchrotron and betatron amplitudes and phases among the particles. To estimate the expected value of the Schottky power spectrum, and reveal the inner structure of the Bessel satellites described by the theory, the averaging of instantaneous Schottky spectra is required. This study describes this procedure quantitatively by analysing the statistical properties of the Schottky signals, including the expected value and variance of Schottky power spectra. Furthermore, we investigate how these quantities evolve with the number of particles in the bunch, the observed harmonic of the revolution frequency, the distribution of synchrotron oscillation amplitudes, and the bunch profile. The theoretical findings are compared against macro-particle simulations as well as Monte Carlo computations.</td></tr> <tr><td class="formatRecordLabel"> Copyright/License </td><td style="padding-left:5px;">© 2024 the author(s) (License: <a href="https://creativecommons.org/licenses/by/4.0">CC-BY-4.0</a>)</td></tr> </table> <br/>Corresponding record in: <a href="http://inspirehep.net/record/2754669">Inspire</a> <small> </small> <br/> <br/><br/><div align="right"><div style="padding-bottom:2px;padding-top:30px;"><span class="moreinfo" style="margin-right:10px;"> <a href="" class="moreinfo">Back to search</a> </span></div></div> <div class="bottom-left-folded"><div class="recordlastmodifiedbox" style="position:relative;margin-left:1px"> 記錄創建於2024-06-18，最後更新在2024-06-18</div></div> <div class="bottom-right-folded" style="text-align:right;padding-bottom:2px;"> <span class="moreinfo" style="margin-right:10px;"><a href="/search?ln=zh_TW&p=recid%3A2901223&rm=wrd" class="moreinfo">相似記錄</a></span></div> </div> </div> </div> <br/> <br /> <div class="detailedrecordminipanel"> <div class="top-left"></div><div class="top-right"></div> <div class="inside"> <div id="detailedrecordminipanelfile" style="width:33%;float:left;text-align:center;margin-top:0"> <div><small class="detailedRecordActions">全文:</small> <br /><a href="/record/2901223/files/document.pdf"><img style="border:none" src="/img/file-icon-text-34x48.gif" alt="Download fulltext" /><br />PDF</a><br /></div> </div> <div id="detailedrecordminipanelreview" style="width:30%;float:left;text-align:center"> </div> <div id="detailedrecordminipanelactions" style="width:36%;float:right;text-align:right;"> <ul class="detailedrecordactions"> <li><a href="/yourbaskets/add?ln=zh_TW&recid=2901223">Add to personal basket</a></li> <li>Export as <a style="text-decoration:underline;font-weight:normal" href="/record/2901223/export/hx?ln=zh_TW">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2901223/export/hm?ln=zh_TW">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2901223/export/xm?ln=zh_TW">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2901223/export/xd?ln=zh_TW">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2901223/export/xe?ln=zh_TW">EndNote</a>,  <a style="text-decoration:underline;font-weight:normal" href="/record/2901223/export/xn?ln=zh_TW">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2901223/export/xw?ln=zh_TW">RefWorks</a> </li> </ul> <div style='padding-left: 13px;'>  <div id="bookmark"></div> <div id="bookmark_sciencewise"></div> <style type="text/css"> #bookmark_sciencewise, #bookmark {float: left;} #bookmark_sciencewise li {padding: 2px; width: 25px;} #bookmark_sciencewise ul, #bookmark ul {list-style-image: none;} </style> <script type="text/javascript" src="/js/jquery.bookmark.min.js"></script> <style type="text/css">@import "/css/jquery.bookmark.css";</style> <script type="text/javascript">// <![CDATA[ $.bookmark.addSite('sciencewise', 'ScienceWise.info', 'https://cds.cern.ch/img/sciencewise.png', 'en', 'bookmark', 'http://sciencewise.info/bookmarks/cds:2901223/add'); $('#bookmark_sciencewise').bookmark({sites: ['sciencewise']}); $('#bookmark').bookmark({ sites: ['facebook', 'twitter', 'linkedin', 'google_plusone'], icons: '/img/bookmarks.png', url: 'https://cds.cern.ch/record/2901223', addEmail: true, title: "Statistical Properties of Schottky Spectra", description: "Schottky signals are used for non-invasive beam diagnostics as they contain information on various beam and machine parameters. 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