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

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4<br />

2<br />

0<br />

R55patterngeneratedwithparmela(usingthesecondsetup). (positioni)toitsexit(positionf): Figure6.13:ComparisonofthemeasuredR55patternaftertheFELwasoptimizedwiththe\ideal"<br />

−2<br />

Measurement<br />

Simulation<br />

−4<br />

whichindeedessentiallymodifythecorrelationtermhzii.Hence,undertheassumptionthatthe<br />

−6<br />

bunchisnotsignicantlyvaryingwiththelinacsetpoint,theminimumbunchlengthisgivenby wherewehaveusedthedenitionofrmslongitudinalemittancetowritethefarrightexpression. Inthepresentconguration,theparameterattheentranceofthechicanearesetbythelinac; hz2if=R255hz2ii+2R55R56hzii+R256h2ii=R255hz2ii+2R55R56hzii+R256~"2z+hzi2i hz2ii(6.16)<br />

−40 −20 0 20 40<br />

Drive−Laser Phase φIN (RF−Deg)<br />

caneispresentedingure6.14.Experimentallythetypicalbunchlengthmeasuredintheundulatorcomputedaccordingtoparmelafromthephotocathodesurfaceuptotheexitofthesecondchiditionforachievingminimalbunchlengthafterthecompressorsystemis(dE=dz)i=1=R56.By settingthelinacphase<strong>and</strong>acceleratinggradientsuchthattheaforementionedmatchingcondition isfullled,<strong>and</strong>becauseoftheinitialemittance,theminimumbunchlengthachieved,vianumerical simulations,attheundulatorlocationisabout140m(rms).Theevolutionofthebunchlength introducethelongitudinalphasespaceslope(dE=dz)i=hzii=hz2ii;thereforethe\matching"con- thecondition@hz2if=@hzii=0,whichgivestherelationhzii=hz2ii=1=R56;bydenitionwe<br />

vicinityisapproximately100m(rms),anexampleofreconstructedbunchshape(usingtheinverse HilberttransformtechniquedetailedinChapter5)iscomparedwithabeamprolegeneratedwith parmelaingure6.15(C).Withinthelevelofaccuracy7,wehavegoodagreement.Byvaryingthe phaseofthelinac(therebychangingthequantityhzii)wecanvarythebunchlength;wepresent theresultofsuchanexperimentingure6.15(B)alongwithresultsfromnumericalsimulation(in donotgiveauniquelongitudinaldistribution,<strong>and</strong>therearealotofassumptionsthathavetobeconsidered(e.g. extrapolationoftheCTRspectrumatlowfrequency,...)<br />

7(1)weonlyused500macroparticlesinthenumericalsimulation,(2)theHilberttransformation,aswehaveseen<br />

T−O−F at Pickup Cavity φ OUT (RF−deg)

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