File: //home/harmonyg/public_html/test/slac_comp.html
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<head>
<link href="physics_.css" rel="stylesheet" type="text/css">
<!-- #BeginTemplate "/Templates/physics_template_final2.dwt" --><!-- DW6 --><!-- #BeginEditable "doctitle" -->
<title>German Kurevlev</title>
<!-- #EndEditable -->
<meta http-equiv="Content-Type"
content="text/html; charset=iso-8859-1">
<!-- #BeginEditable "head" -->
<style type="text/css">
<!--
a:link {
text-decoration: none;
}
a:visited {
text-decoration: none;
}
a:hover {
text-decoration: none;
}
a:active {
text-decoration: none;
}
-->
</style>
<style type="text/css">
<!--
.style3 {color: #0066CC}
-->
</style><!-- #EndEditable -->
<link href="physics_style.css" rel="stylesheet"
type="text/css">
<style type="text/css">
<!--
a:link {
text-decoration: none;
}
a:visited {
text-decoration: none;
}
a:hover {
text-decoration: none;
}
a:active {
text-decoration: none;
}
.style3 {color: #0066CC}
div.Section1
{page:Section1;}
-->
</style>
</head>
<body>
<div id="container"><!-- HEADER (inc) -->
<div id="header"> <a name="top"></a><a
href="http://www.manchester.ac.uk/" accesskey="1"
title="University of Manchester homepage" tabindex="1"><img
src="/images/transparent.gif" alt="The University of Manchester "
class="img_logo" height="46" width="124"></a><!-- HEADER (inc) --><!-- The search form begins -->
<div id="toplinks">
<form id="quicksearch" action="http://search.mcc.ac.uk/cgi-bin/htsearch"
method="post"> <input type="hidden" name="config" value="mhn"> <span
class="right" id="sitelinks"> | <a href="http://www.hep.man.ac.uk/contact.html" accesskey="9"
title="Contact Us - AccessKey 9">contact us</a> | <a
href="http://www.hep.man.ac.uk/sitemap.html" accesskey="3" tabindex="5"
title="Sitemap for Physics Department">site map</a> | <a
href="http://www.manchester.ac.uk/officialdocuments/help/"
accesskey="6" title="Help - AccessKey 6">help</a> |
<input
value="search site" id="sitesearch" type="text" name="words" size="20"> <span
class="searchbutton">
<input type="image" src="/images/purple_go.gif"
alt="search" accesskey="4" title="Search - AccessKey 4" width="41" height="20"> </span></span>
</form>
</div>
<!-- The search form ends --><!-- END HEADER (inc) --><!-- CRUMBTRAIL --><!-- #BeginEditable "CrumbTrail" -->
<div id="crumbtrail"><strong>You are here:</strong> > <a
href="http://www.hep.man.ac.uk/">Particle Physics Home</a> > German Kurevlev</div>
<!-- END CRUMBTRAIL -->
<!-- TITLE BAR (inc) --><!-- TITLE BAR --><!-- #EndEditable -->
<div id="title">
<div id="mainsitelink"> <a href="http://www.hep.man.ac.uk/"
title="Return to the Particle Physics home page">HEP Home</a></div>
<div class="h1">
<h1>Particle Physics Group</h1>
</div>
<div class="clear"></div>
</div>
<!-- END TITLE BAR --><!-- END TITLE BAR (inc) --><!-- LEFTNAV (inc) -->
<a name="sectionmenu"></a>
<div id="leftnav"><!-- IDENTIFIER -->
<div class="animage"></div>
<!-- END IDENTIFIER --><!-- MAIN SUBNAV -->
<div class="navtitle">
<h2 class="ntitle">German Kurevlev</h2>
</div>
<ul>
<li><a href="/index.html" tabindex="11" title="German Home">
Home</a></li>
<li><a href="/research.html" tabindex="14"
title="Research">Research</a></li>
<li><a href="/personal.html" tabindex="15" title="Personal">
Personal</a></li>
<li><a href="mailto:gkourevlev@hotmail.com" tabindex="16"
title="Contact">Contact</a></li>
</ul>
<!-- START SECOND LINKS -->
<!--div class="navtitle">
<h2 class="ntitle">Internal Links</h2>
</div>
<ul>
<li><a href="http://www.hep.man.ac.uk/login/"> Secure web login</a></li>
<li><a href="http://www.hep.man.ac.uk/local/"> HEP Intranet </a></li>
<li><a href="http://rylibweb.man.ac.uk/"> University Library</a></li>
</ul-->
<!-- END SECOND LINKS --> </div>
<!-- END LEFT NAV (inc) --><!-- RIGHT NAV (inc) -->
<div id="rightnav"><!-- RED UNI-WIDE LINKS -->
<ul>
<li><a href="http://www.hep.man.ac.uk/seminars_meetings.html" tabindex="38"
title="Meetings & Group Seminars">Seminars/Meetings </a></li>
<li><a href="http://www.hep.man.ac.uk/computing.html" tabindex="39"
title="Local computing information">Computing </a></li>
<li><a href="http://www.hep.man.ac.uk/preprints/index.html" tabindex="40"
title="Manchester Preprints">Preprints </a></li>
<li><a href="http://www.hep.man.ac.uk/theses/index.html" tabindex="41"
title="Manchester Theses">Theses </a></li>
<li><a href="http://www.hep.man.ac.uk/members.html" tabindex="41" title="Who's who">
Who's who </a></li>
</ul>
<!-- END RED UNI-WIDE LINKS --><!-- RIGHTNAV BOX (inc) -->
<div id="rightbox">
<h2>Work </h2>
<br>
<a href="https://www.cockcroft.ac.uk/">Cockcroft Institute</a><br>
<a href="http://www.physicsweb.org">Physicsweb</a> <br>
<a href="http://www.pparc.ac.uk/">PPARC</a> <br>
<a href="http://www.cclrc.ac.uk/Activity/webname=CCLRC;DL">Daresbury Laboratory</a> <br>
<a href="http://www.astec.ac.uk/Groups/Grp_AccPhysics.htm">Astec Accelerator Group</a><br>
<br>
</div>
<div id="rightbox">
<h2>Personal Links </h2>
<br>
<a href="http://www.mipt.ru/"> Alma Mater </a><br>
<br>
</div>
<!-- END RIGHTNAV BOX (inc) --> </div>
<!-- END RIGHT NAV (inc) --><!-- CONTENT -->
<div id="content">
<div id="main"> <a name="main"> </a>
<div class="iebug"><!--BEGIN CONTENT--><!-- #BeginEditable "EditRegionMain" -->
<div class="welcome">
<h2><b>Comparison of MERLIN results with SLAC experiment</b></h2>
</div>
<!--INSERT IMAGE-->
<p class="MsoNormal">Beam parameters used in experiment and simulation:</p>
<p class="MsoNormal" dir="ltr">Beam (bunch) charge Q_total = 2e+10 e - number of
electrons in the bunch - Ne = 2e+10<br>
Beam energy
p0 = 1.19 GeV<br>
Lattice horizontal betta function
betta_x = 3 m<br>
<font color="#C0C0C0">Horizontal <span lang="en-us">bunch size</span>
<span lang="en-us">sigma</span>_x = 0.36 mm, <span lang="en-us">vertical -
sigma</span>_y = 0.16 mm<br>
Lattice vertical betta function
betta_y = 10 m (we used these ones to have minimal emittance grow - there are
no exact values from experiment)</font><br>
Longitudinal bunch size
sigma_z = 0.65 mm<br>
Squared aperture of the spoiler with the side width 38 mm (half width to use
in wake formulas b1 = 1.9 mm)<br>
</p>
<p class="MsoNormal"><b>Picture from experiment<br>
</b><span lang="RU">
<a style="color: #0000EE; text-decoration: underline; text-underline: single" href="http://www-conf.slac.stanford.edu/lc02/wg3/Onoprienko.pdf">
<span lang="EN-US">http://www-conf.slac.stanford.edu/lc02/wg3/Onoprienko.pdf</span></a></span></p>
<p class="MsoNormal">
<img border="0" src="images/SLAC_EXP.JPG" width="411" height="286"></p>
<p class="MsoNormal"><b>Merlin simulation<br>
</b><span lang="en-us">N</span>ear wall wake fields<span lang="en-us"> effect was demonstrated </span>in <span lang="en-us">the work of
Zagorodnov and K and confirmed </span>b<span lang="en-us">y </span>
<a href="http://tesla.desy.de/new_pages/TESLA_Reports/2003/pdf_files/tesla2003-23.pdf">ECHO
code</a> <span lang="en-us">simulation</span>.<span lang="en-us"> We used the
same approach in the next results.</span></p>
<p class="MsoNormal">Below result with <span lang="en-us">5</span>
transverse wake modes added<span lang="en-us"> as in
SLAC-PUB-7137. The integration of Merlin was extended by these modes including
dependency of the trailing particles offset.</span></p>
<p class="MsoNormal">
<img border="0" src="images/5modewakenew2.gif" width="413" height="280"></p>
<p class="MsoNormal">
<span lang="en-us">Linear part only (only one mode used in MERLIN simulation)
demonstrated below:</span></p>
<p class="MsoNormal">
<img border="0" src="images/1modewake.gif" width="413" height="273"></p>
<p class="MsoNormal"><span lang="en-us">Theory gives for the steep
collimator the following curve.</span></p>
<p class="MsoNormal">
<img border="0" src="images/1modewakeTheory.gif" width="411" height="275"></p>
<p class="MsoNormal"><span lang="en-us">Table date for linear mode below.</span></p>
<table x:str border="0" cellpadding="0" cellspacing="0" style="border-collapse:
collapse;width:263px" id="table1">
<colgroup>
<col width="64" span="5" style="width:48pt">
</colgroup>
<tr height="17" style="height:12.75pt">
<td height="17" width="64" style="height: 12.75pt; width: 48pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
Vertical<br>
Offset Y (mm)</td>
<td width="64" style="width: 48pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
Average Yp (10 mkrad)</td>
<td width="64" style="width: 48pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
Rms<br>
Yp</td>
<td colspan="2" style="width: 69px; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
|Average Yp |<br>
/sqrt(3)</td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
-1.8</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-37.86</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
21.49</td>
<td align="right" x:num="-21.858481191519232" x:fmla="=B2/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
21.8585</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
-1.6</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-35.06</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
20.59</td>
<td align="right" x:num="-20.241900437788281" x:fmla="=B3/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
20.2419</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
-1.4</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-30.74</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
17.86</td>
<td align="right" x:num="-17.747747274889097" x:fmla="=B4/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
17.7477</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
-1.2</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-26.36</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
15.3</td>
<td align="right" x:num="-15.218953095838536" x:fmla="=B5/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
15.219</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
-1</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-21.97</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
12.78</td>
<td align="right" x:num="-12.684385414096079" x:fmla="=B6/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
12.6844</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
-0.8</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-17.57</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
10.27</td>
<td align="right" x:num="-10.144044229661725" x:fmla="=B7/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
10.144</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
-0.6</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-13.17</td>
<td align="right" x:num="7.7729999999999997" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
7.773</td>
<td align="right" x:num="-7.6037030452273715" x:fmla="=B8/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
7.6037</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
-0.4</td>
<td align="right" x:num="-8.7769999999999992" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-8.777</td>
<td align="right" x:num="5.3150000000000004" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
5.315</td>
<td align="right" x:num="-5.067403312677345" x:fmla="=B9/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
5.0674</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
-0.2</td>
<td align="right" x:num="-4.3810000000000002" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-4.381</td>
<td align="right" x:num="2.9950000000000001" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
2.995</td>
<td align="right" x:num="-2.529371529319751" x:fmla="=B10/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
2.52937</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
0</td>
<td align="right" x:num="-1.4999999999999999E-2" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
-1.50E-02</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
1.6</td>
<td align="right" x:num="-8.6602540378443865E-3" x:fmla="=B11/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
0.00866</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
0.2</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
4.4</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
3</td>
<td align="right" x:num="2.5403411844343537" x:fmla="=B12/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
2.540341</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
0.4</td>
<td align="right" x:num="8.8089999999999993" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
8.809</td>
<td align="right" x:num="5.3239999999999998" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
5.324</td>
<td align="right" x:num="5.0858785212914128" x:fmla="=B13/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
5.085879</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
0.6</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
13.21</td>
<td align="right" x:num="7.7809999999999997" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
7.781</td>
<td align="right" x:num="7.6267970559949569" x:fmla="=B14/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
7.626797</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
0.8</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
17.6</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
10.28</td>
<td align="right" x:num="10.161364737737415" x:fmla="=B15/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
10.16136</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
1</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
22</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
12.79</td>
<td align="right" x:num="12.701705922171767" x:fmla="=B16/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
12.70171</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
1.2</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
26.4</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
15.31</td>
<td align="right" x:num="15.242047106606121" x:fmla="=B17/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
15.24205</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
1.4</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
30.81</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
17.78</td>
<td align="right" x:num="17.788161793732371" x:fmla="=B18/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
17.78816</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
1.6</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
36.03</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
20.2</td>
<td align="right" x:num="20.80193019890222" x:fmla="=B19/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
20.80193</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
<tr height="17" style="height:12.75pt">
<td height="17" align="right" style="height: 12.75pt; color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" x:num>
1.8</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
38.37</td>
<td align="right" x:num style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
23.56</td>
<td align="right" x:num="22.152929828805942" x:fmla="=B20/SQRT(3)" style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px">
22.15293</td>
<td style="color: windowtext; font-size: 10.0pt; font-weight: 400; font-style: normal; text-decoration: none; font-family: Arial; text-align: general; vertical-align: bottom; white-space: nowrap; border: medium none; padding-left: 1px; padding-right: 1px; padding-top: 1px" width="4"> </td>
</tr>
</table>
<p class="MsoNormal">The table confirms also the following formula for rms
kick: Krms=Kt/sqrt(3), <br>
see for example
<a href="http://www.slac.stanford.edu/cgi-wrap/getdoc/slac-pub-8552.pdf">
http://www.slac.stanford.edu/cgi-wrap/getdoc/slac-pub-8552.pdf</a></p>
<p class="MsoNormal" dir="ltr"><span lang="en-us">We have also several
pictures to demonstrate dependency of the wake effect from the length of the
bunch. See the <a href="slac_comp1.html">next</a> page.</span></p>
<p class="MsoNormal">
</p>
<!-- #EndEditable -->
<p class="totop"><a href="#top">Top</a>^</p>
</div>
<div><span class="invisible"> | <a href="#sectionmenu" accesskey="">Section Menu</a>
| <a href="#related" accesskey="">Related Links</a> |</span></div>
</div>
</div>
<!-- END CONTENT --><!-- FOOTER --><!-- FOOTER (inc) -->
<!--div style="text-align: right;" id="footerlinks"--><!-- GENERIC LINKS -->
<!-- #BeginDate format:Sw1 --><!-- #EndDate -->
<!-- #EndEditable --><!--/div-->
<!-- END GENERIC LINKS --><!-- FOOTER (inc) --><!-- END FOOTER --> </div>
</div>
<p><small>
<hr></small></p>
</body>
</html>
<!-- This document saved from / -->