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X-PH: V4.4@bnl.gov
From: "Alexei Fedotov" <fedotov@bnl.gov>
To: <raparia@bnl.gov>
Subject: Topics #1: effect of sextupoles
Date: Wed, 20 Mar 2002 10:30:11 -0500
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Here are few pictures related to Topic #1:
=20
Topic #1 : "Effect of nonlinear sextupole field on particle motion
                 and beam size growth" brought up by G. Parzen.
=20
Despite the fact that sextupoles produce negligible tune spread at
10^-3 level their effect on emittance growth is noticable:
=20
Fig. "effect_of_sext_nsc.eps"  shows evaluation of vertical
beam size through one turn (after 10 turn tracking). Blue color -
sextupole strength=3D0,
while red color - sext. strength to drive chromatcity to zero.
=20
Fig. "effect_of_sext_sc.eps" shows the dominant effect of space charge
(green).
=20
Fig. "effect_of_sext_scx.eps" shows the dominant effect of space charge
(green) for=20
horizontal beam size.
=20
Application of this effect for the SNS and comparison with G.Parzen's
finding were
studied and discussed.
=20
.
=20
********************************
Alexei V. Fedotov
=20
phone: (631)-344-5479
fax:      (631)-344-8374
e-mail:  fedotov@bnl.gov <mailto:fedotov@bnl.gov>=20

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<BODY bgColor=3D#ffffff>
<DIV><FONT size=3D2>Here are few pictures related to Topic =
#1:</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Topic #1 : "Effect of nonlinear sextupole field on =
particle=20
motion</FONT></DIV>
<DIV><FONT=20
size=3D2>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;and=20
beam size growth" brought up by G. Parzen.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Despite the fact that sextupoles produce negligible =
tune=20
spread at</FONT></DIV>
<DIV><FONT size=3D2>10^-3 level their effect on emittance growth is=20
noticable:</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Fig. "effect_of_sext_nsc.eps"&nbsp; shows =
evaluation of=20
vertical</FONT></DIV>
<DIV><FONT size=3D2>beam size through one turn (after 10 turn =
tracking). Blue=20
color - sextupole strength=3D0,</FONT></DIV>
<DIV><FONT size=3D2>while red color - sext. strength to drive =
chromatcity to=20
zero.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Fig. "effect_of_sext_sc.eps" shows the =
dominant&nbsp;effect of=20
space charge (green).</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Fig. "effect_of_sext_scx.eps" shows the =
dominant&nbsp;effect=20
of space charge (green) for </FONT></DIV>
<DIV><FONT size=3D2>horizontal beam size.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>Application of this effect for the SNS and =
comparison with=20
G.Parzen's finding were</FONT></DIV>
<DIV><FONT size=3D2>studied and discussed.</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>.</FONT></DIV>
<DIV>&nbsp;</DIV>
<DIV><FONT size=3D2>********************************<BR>Alexei V.=20
Fedotov</FONT></DIV>
<DIV><FONT size=3D2></FONT>&nbsp;</DIV>
<DIV><FONT size=3D2>phone: =
(631)-344-5479<BR>fax:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=20
(631)-344-8374<BR>e-mail:&nbsp; <A=20
href=3D"mailto:fedotov@bnl.gov">fedotov@bnl.gov</A></FONT></DIV></BODY><=
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	10 -1 roll=0A=
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/Mbbox {=0A=
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/Mmin {=0A=
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/Mrotshowa {=0A=
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        3 index=0A=
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/Maxget	{=0A=
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/Strform {=0A=
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} bind def=0A=
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/MathScale {=0A=
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} bind def=0A=
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	Mlprun1=0A=
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	{=0A=
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	/lt Mlpminmax=0A=
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	Mlprun2=0A=
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} bind def=0A=
/Mlprun1 {=0A=
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/Mlpminmax {=0A=
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} bind def=0A=
/Mlp1 {=0A=
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/Mboxrot {=0A=
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/sampledsound where=0A=
{ pop}=0A=
{ /sampledsound {=0A=
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{ Mtempproc pop }=0A=
repeat=0A=
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{=0A=
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