Derivation and interpretation of parameters describing betatron mismatch and chromaticity

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First parameters describing betatron mismatch are introduced using normalization with respect to reference Twiss parameters describing a lattice. In a second step, the derivatives of these mismatch parameters with respect to the relative momentum offset are considered and lead naturally to the Montague W functions and a phase angle computed as well by standard lattice programs. Carli, Christian; Skoufaris, Kyriacos" /> <meta name="keywords" content="betatron, lattice, emittance, injection, focusing, collider" /> <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="JACOW : Derivation and interpretation of parameters describing betatron mismatch and chromaticity" name="citation_title" /> <meta content="Carli, Christian" name="citation_author" /> <meta content="Skoufaris, Kyriacos" name="citation_author" /> <meta content="10.18429/JACoW-IPAC2023-WEPL026" name="citation_doi" /> <meta content="JACoW IPAC" name="citation_journal_title" /> <meta content="2023" name="citation_volume" /> <meta content="WEPL026" name="citation_firstpage" /> <meta content="2023" name="citation_publication_date" /> <meta name="citation_online_date" content="2024/05/16"> <meta content="10.18429/JACoW-IPAC2023-WEPL026" name="citation_doi" /> <meta name="citation_pdf_url" content="https://cds.cern.ch/record/2897759/files/document.pdf" />  <meta content="Derivation and interpretation of parameters describing betatron mismatch and chromaticity" property="og:title" /> <meta content="JACOW" property="og:title" /> <meta content="website" property="og:type" /> <meta content="website" property="og:type" /> <meta content="https://cds.cern.ch/record/2897759" property="og:url" /> <meta content="CERN Document Server" property="og:site_name" /> <meta content="Expressions to quantify betatron mismatch and chromatic effects are frequently used in accelerator physics, but their derivations are not given in standard text books, making their interpretation difficult. 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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>Derivation and interpretation of parameters describing betatron mismatch and chromaticity</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=Carli%2C%20Christian&ln=de">Carli, Christian</a> (CERN) ; <a href="https://cds.cern.ch/search?f=author&p=Skoufaris%2C%20Kyriacos&ln=de">Skoufaris, Kyriacos</a> (CERN)</td></tr> <tr><td class="formatRecordLabel"> Publication </td><td style="padding-left:5px;">2023</td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.18429/JACoW-IPAC2023-WEPL026"><i>JACoW IPAC</i> 2023 (2023) WEPL026</a> </a></td></tr> <tr><td class="formatRecordLabel"> In: </td><td style="padding-left:5px;"><a href="https://cds.cern.ch/record/2858945">14th International Particle Accelerator Conference (IPAC 2023)</a>, Venice, Italy, 7 - 12 May 2023, pp.WEPL026</td></tr> <tr><td class="formatRecordLabel"> DOI </td><td style="padding-left:5px;"><a href="http://dx.doi.org/10.18429/JACoW-IPAC2023-WEPL026" title="DOI" target="_blank">10.18429/JACoW-IPAC2023-WEPL026</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;">Expressions to quantify betatron mismatch and chromatic effects are frequently used in accelerator physics, but their derivations are not given in standard text books, making their interpretation difficult. First parameters describing betatron mismatch are introduced using normalization with respect to reference Twiss parameters describing a lattice. In a second step, the derivatives of these mismatch parameters with respect to the relative momentum offset are considered and lead naturally to the Montague W functions and a phase angle computed as well by standard lattice programs.</td></tr> <tr><td class="formatRecordLabel"> Copyright/License </td><td style="padding-left:5px;"><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/2718299">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">Zurück zur Suche</a> </span></div></div> <div class="bottom-left-folded"><div class="recordlastmodifiedbox" style="position:relative;margin-left:1px"> Datensatz erzeugt am 2024-05-16, letzte Änderung am 2024-05-16</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=de&p=recid%3A2897759&rm=wrd" class="moreinfo">Ähnliche Datensätze</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">Volltext:</small> <br /><a href="/record/2897759/files/document.pdf"><img style="border:none" src="/img/file-icon-text-34x48.gif" alt="Volltext herunterladen" /><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=de&recid=2897759">Zum persönlichen Korb hinzufügen</a></li> <li>Export als <a style="text-decoration:underline;font-weight:normal" href="/record/2897759/export/hx?ln=de">BibTeX</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2897759/export/hm?ln=de">MARC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2897759/export/xm?ln=de">MARCXML</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2897759/export/xd?ln=de">DC</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2897759/export/xe?ln=de">EndNote</a>,  <a style="text-decoration:underline;font-weight:normal" href="/record/2897759/export/xn?ln=de">NLM</a>, <a style="text-decoration:underline;font-weight:normal" href="/record/2897759/export/xw?ln=de">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:2897759/add'); $('#bookmark_sciencewise').bookmark({sites: ['sciencewise']}); $('#bookmark').bookmark({ sites: ['facebook', 'twitter', 'linkedin', 'google_plusone'], icons: '/img/bookmarks.png', url: 'https://cds.cern.ch/record/2897759', addEmail: true, title: "Derivation and interpretation of parameters describing betatron mismatch and chromaticity", description: "Expressions to quantify betatron mismatch and chromatic effects are frequently used in accelerator physics, but their derivations are not given in standard text books, making their interpretation difficult. 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Derivation and interpretation of parameters describing betatron mismatch and chromaticity - CERN Document Server