High Brightness Electron Beam Diagnostics and their ... - CASA
High Brightness Electron Beam Diagnostics and their ... - CASA
High Brightness Electron Beam Diagnostics and their ... - CASA
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Energy Spread (keV)<br />
After Acceleration Before Wiggler After Wiggler<br />
Figure3.10:Energycompressionscheme:Therstrow(fromlefttoright)presentsthelongitudinal<br />
(A) (B) (C) After<br />
Recirculation<br />
phasespaceatthelinacexit,afterthecompressionchicane,<strong>and</strong>justafterthewigglerinteraction<br />
(A)<br />
(B)<br />
(C)<br />
After<br />
Deceleration<br />
compactionasafunctionofthequadrupolestrengthcanbeparameterizedbyaquadraticregression hastakenplace;thesecondrowshowlongitudinalphasespaceattheentranceofthelinacjust<br />
togivethe\h<strong>and</strong>y"formula: thethirdrow. excitation(inthislattercasethetrimquadrupolesareunexcited).Notethatthemomentum priortodecelerationforthreedierentchoiceofR56<strong>and</strong>T556(for(A)-0.2<strong>and</strong>0.m,for(B)0.2 <strong>and</strong>0m<strong>and</strong>for(C)0.2<strong>and</strong>3.0m).Theresultforthethreecasesafterdecelerationareshownin R56(kq)=0:14360:5496kq0:05255k2q (3.10)<br />
Phase (RF-deg)<br />
Thelongitudinallatticecharacterizationisverysimilartothetransverseresponsemeasurement measurement. 3.4.2TheoreticalBackground ExperimentallythisformulacanbeusedtoquicklychecktheR56ofanarc<strong>and</strong>comparewith<br />
condition<strong>and</strong>measuringthecorrespondingresponsedownstreamthesectiononewishestochar- previouslydetailed:themethodagainconsistsofimpressingaknownvariationofthebeaminitial IRFEL:thecompressioneciency(orphase-phasecorrelation)<strong>and</strong>themomentumcompaction(or<br />
acterize.Therearetwotypesoflongitudinalmeasurementthatcanbedoneveryeasilyinthe
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