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

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Study TheFELdriveraccelerator:Lattice Chapter3 experimentalresultsobtainedaswetriedtocharacterizethelatticeandcompareitwithanumerical model. reviewingtheacceleratormagneticopticswiththehelpofanumericalmodel,wepresentfew 3.1Introduction 3.2ABriefOverviewoftheFELOpticalLattice ThepresentChapterdealswiththeopticallatticeoftheIRFELdriver-accelerator.Afterbriey thepurposeofthepresentdiscussion,thedriver-acceleratorcanbedividedintoveparts: InthissectionwedescribetheFELopticallatticeforthemainacceleratoronly.Ithasbeendesigned byD.Douglasanditisalsodescribedinnumerousreference(seeforinstancereference[16]).For 1.A10MeVinjectorandtheinjectiontransferline 2.A48MeVsuperconductingradio-frequency(SRF)linearaccelerator(itisusedbothtoac- 3.Awigglerinsertionregion, 4.Arecirculationring, 5.Areinjectiontransferline. celeratetherstpassbeamandtodeceleratethesecondpassbeam);thislinacisalsotermed \cryomodule"hereafter, and5inthelistabove. Inthissectionwewillonlyconcentrateonthehighenergylattice(E'48MeV)thatisitems3,4, TherstregionencounteredbythebeamattheexitoftheSRFlinacisa\matching"region.It 22
To Linac entrance 0000000000000 1111111111111 0000000000000 1111111111111 0000000000000 1111111111111 0000000000000 1111111111111 0000000000000 1111111111111 0000000000000 1111111111111 0000000000000 1111111111111 0000000000000 1111111111111 Figure3.1:Dispersedoverviewofthemainringofthedriveracceleratorcorrespondingtog- 0000000000000 1111111111111 Quadrupole 0000000000000 1111111111111 0000000000000 1111111111111 0000000000000 1111111111111 0000000000000 1111111111111 Sextupole 0000000000000 1111111111111 ure2.11.Thepathoftheelectronbeamisindicatedwitharrows. 0000000000000 1111111111111 Quadrupole Sextupole 180 deg dipole Reinjection Line 180 deg dipole Sextupole Quadrupole Sextupole Quadrupole To Backleg To Arc 2 (5F) innitelylongwigglerw=w=(2p2K),withwthewigglerperiodandKtheundulator thebetatronfunctionsarematchedtothewiggler\natural"betatronfunctioneigenvalueofan insuresthebeamlatticefunctionsareproperlymatchedtothedesiredvalueattheundulatorcenter. parameter(seeChapter2).The\upstream"by-passchicaneprovidefurtherlongitudinalphase Thisregionconsistsoftwoquadrupoletelescopesdisposedupstreamanddownstreamanachromatic chicane.Thetelescopesconsisteachofthreequadrupoles.Thesetwotelescopesprovidesixfree whileinsuringthebeamsizecanstillbecontainedwithinthevacuumchamberwithacceptablylow particlelossviascraping.The-functionsaresupposedtobezeroatthewigglercenterwhereas parameters(thestrengthofthequadrupoles)toadjustthefourTwissparameters(x,y,x,y) Quad Quad Quad Quad Quad Quad Quad Quad Quad Quad Quad Quad Quad Afterthewiggler,twoadditionaltelescopeseachcomposedofquadrupoletripletsareusedtomatch theopticallatticefunctionstothedesiredvaluesattheinjectionpoint.Longitudinally,further spacerotationbecauseofitsnonisochronicity(momentumcompaction1R56=28cm). whereitisdenedastheratioofrelativepathlengthchangeforarelativeenergychange=L=L transportformalism.Thisdenitionisdierentfromtheusualdenition(generallyforclosedorbitaccelerator) phasespacerotationisprovidedbythe\downstream"by-passchicanewhichisidenticaltothe upstreamchicane. Therecirculationloopiscomposedoftwoarcslinkedbyastraightlinesection,termed\backleg" 1ThroughoutthisreportthemomentumcompactionisdenedasthetransfermatrixelementR56=z E=EE=Einthe Sextupole Quadrupole Sextupole Quadrupole first Telescope To dump Fourth Telescope To Arc 1 (3F) SRF Linac Beam Direction Third Telescope Undulator Magnet Second Telescope Beam from Injector Quadrupole Sextupole Quadrupole Sextupole
Page 1 and 2: HighBrightnessElectronBeamDiagnosti
Page 3 and 4: eratedupto48MeVpriortothelasingsyst
Page 5 and 6: IthanktheCEBAFmachineoperators,with
Page 7 and 8: 3.4MeasurementoftheLongitudinalResp
Page 9 and 10: 5.6ZerophasingTechniqueforBunchLeng
Page 11 and 12: ListofTables 3.2Comparisonofcoecien
Page 13 and 14: ListofFigures 1.1Comparisonoftheexp
Page 15 and 16: 3.11Momentumcompactionandnonlinearm
Page 17 and 18: 4.18Overviewofthephasespacesampling
Page 19 and 20: 5.16Interferogrammeasuredfordierent
Page 21 and 22: 6.10Comparisonofthermstransversehor
Page 23 and 24: Chapter1 UVdomainandareplannedtogen
Page 25 and 26: space-chargeinthelowenergyregime,an
Page 27 and 28: !Vjitsthevelocity,and!Xjisthepositi
Page 29 and 30: equation boundarybetweenvacuumandam
Page 31 and 32: 10 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.
Page 33 and 34: 1.0 0.8 0.6 0.4 0.2 E=10 MeV E=42 M
Page 35 and 36: 00000000000000000000000000000000000
Page 37 and 38: harmonicwithproperchoiceoftheKvalue
Page 39 and 40: Bu(rms)0.28T ParameterValueUnit Nu
Page 41: 2.7TheJeersonLabIRproject usedasexp
Page 46 and 47: ParameterValue x -0.178 x(m) 8.331
Page 48 and 49: Thepurposeofmeasuringthetransverser
Page 50 and 51: computedusingthelatticeset-upuseddu
Page 52 and 53: etatronexcitationaspicturedingure3.
Page 54 and 55: ∆ x (mm), Corrector 0F00H ∆ x (
Page 56 and 57: 1 0.5 0 spreadoftheparticlewassetto
Page 58 and 59: 2 1 −5 −3 −1 1 3 5 k (m q −
Page 60 and 61: Experimentallythecalibrationcoecien
Page 62 and 63: tioned.FromthetransferfunctioninFig
Page 64 and 65: Pickup Experiment #2 #3 #4 Simulati
Page 66 and 67: Fromthesebothmeasurementitispossibl
Page 68 and 69: . . . . . . . . . . . . . . . . . .
Page 70 and 71: 10 5 Sext. ON Figure3.20:Eectofthes
Page 72 and 73: spaceabeamthatconsistsofNparticles,
Page 74 and 75: Asforthegeometricemittanceonecanden
Page 76 and 77: (a) ceramic radiator beam x-wire be
Page 78 and 79: and validundertheassumptionofaunifo
Page 80 and 81: 1000 900 800 700 Figure4.4:Steadyst
Page 82 and 83: Fraction of Beam enclosed within (%
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Page 86 and 87: Actuator Inserts Foil and Mirror CI
Page 88 and 89: shortterm,touseasbeamdensitymonitor
Page 90 and 91: Alongwiththeseimplementedoperations
Page 92 and 93: whereiistheerrorontheithbeamsizemea
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Let'sassumethethinlensapproximation
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obtainedviathestatisticalanalysis.T
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20 18 16 . 14 . 12 . Figure4.14:Rel
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100 10 −3 10 −2 10 −1 10 that
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multislits mask (copper) Aluminum F
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TheReductionoftheSpaceChargeconditi
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. . . . . . . . . . . . . . . . . .
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Table4.7:Typicalsystematicerroronem
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180 8 160 6 Figure4.22:Anexampleof2
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4.0 3.5 3.0 2.5 Figure4.24:Emittanc
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Characterization LongitudinalPhaseS
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concentrateonthebeamparametersinthe
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1.1 1 mrad 0.9 5 mrad mainlyduetoth
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Population Population 100000 90000
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Theequation5.8yields: f()=jZ+1 11Xn
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presentanoutlineofthisproofbelow,an
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contrastintheCEBAFmachine,varyingas
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1.5 1 correspondtothevarianceofveco
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Ε’ 2 B Mirror M 2 Ε2 Polarizer
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FinallyitisinterestingtonotethatFou
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Itsautocorrelationis:S(z)=8>:(1=w2)
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drivelaserwhereasin(A),suchoperatio
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expansionoftheBFFderivedinthischapt
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Asarstapproximation,wecanestimatetr
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errorpropagation8theoryappliedonEqn
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inducedbyspacechargeisnotaconcernin
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Golay Cell Signal (V) Golay Cell Si
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Golay Cell Ouput (V) Golay Cell Oup
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150 100 5 4 Figure5.19:Energyspectr
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Figure5.23:picturaleectoflongitudin
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. .. .. . .. . . .. . .. . . .. . .
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σ x (m) x 10−3 5 4 3 2 1 0 0 5 1
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BeamDynamicsStudies Chapter6 undula
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x,y (mm) 6.0 4.8 3.6 2.4 1.2 x y 0.
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Space Charge over Emittance Ratio (
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numericalsolution[56].Thisapproxima
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0.03 . .... . .. ... . .. ..... . .
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ε x (mm−mrad) Nominal 6 4 2 cryo
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2.2 2 1.8 Figure6.10:Comparisonofth
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6 4 2 Figure6.12:\R55"transfermapfo
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10 1 5 10 0 500 1000 1500 2000 2500
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EnergySpread(%) BunchLength(mm) Par
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15 Effect of RMS energy Spread 10 F
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6.4.4BunchSelfInteractionviaCoheren
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100 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0
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Inthesecondseriesofrun,wewereableto
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Conclusion Chapter7 Therecirculator
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[2]Y.Shibata,T.Takahashi,T.Kanai,K.
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[29]J.-C.Denard,C.Bochetta,G.Traomb
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[65]B.C.Yunn,\ImpedancesintheIRFEL"
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TEM:transverseelectricmagnetic. TOF
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B.2Anoteonspacecharge Wedenetheslop
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B.3.3PARMELA FeaturesofJeersonLabVe
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Initialization MAIN Stop INPUT DECK
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C.0.6TheDispersionRelationsfor^S(!)
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have: Howeveritshouldbenotedthatweh
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FigureD.1:OverviewoftheRF-controlsy
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