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High Brightness Electron Beam Diagnostics and their ... - CASA

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tioned.FromthetransferfunctioninFig.3.15wec<strong>and</strong>educedbyperformingnon-lineart,an<br />

40<br />

Photcathode Drive Laser Phase (RF−deg)<br />

20<br />

Figure3.14:phase-phasebeamtransferfunctionbetweenthephotocathodesurface<strong>and</strong>thethree<br />

pickup #2<br />

dierentpickupcavities:pickup#2,#3,<strong>and</strong>#4.<br />

0<br />

pickup #3<br />

pickup #4<br />

estimateofthetransfermatrixelementtheresultsofthenon-lineartaregatheredinTable3.4.5. Themeasurementofthelinearpartareinverygoodagreementwiththesimulationexceptfor<br />

−20<br />

−40<br />

−2 0 2 4<br />

Wehaveexperimentallyinvestigatedtheeectsofthesecondfamilytrimquadrupolesonthe thecavity#4,webelievethediscrepancycomesfromabadcenteringoftheelectronbeamonthe magneticaxisofthetrimquadrupoles<strong>and</strong>sextupolesinthearc2. EectsoftheQuadrupoles<br />

Time of Flight (RF−deg)<br />

to<strong>their</strong>nominalvalues.Thenweiteratethemeasurementforboththetrimquadrupolesturnedo <strong>and</strong>with<strong>their</strong>valueoppositetonominal.Themeasurementsaregathered3.16(A).Sincenotime wasspenttore-measurethetransfermapalongthelinac<strong>and</strong>iteratethesameprocedureasbefore, i.e.setthemodelsuchthatthesametransfermapisachievedatthelinacexit,<strong>and</strong>thenusethe measurementwehavemeasuredthebeamphase-phasecorrelationwiththetrimquadrupolesset fordierentcases.Thestudyhasonlybeencarriedoutusingthepickupcavity#3.Forsuch modeltopredictthechangeatcavities#3<strong>and</strong>#4,thedisagreementisquiteimportant.However, phase-phasetransfermap.Ingure3.16wepresentmeasurementofthephase-phasecorrelation<br />

ifwelookatwhatistherelativechange,i.e.bycalculatingthedierencehoutjiniQuadSettings houtjiniNominalSettingsforboththeexperiment(seeg.3.16(C))<strong>and</strong>thenumericalmodel(see toextractquantitativenumberforR55<strong>and</strong>T555,itshowsthatthismapdoesevolvethesameway<br />

g.3.16(D))theagreementissatisfactory.Thoughinthepresentcasethemethoddoesnotallow

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