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

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Inthexedlengtharm(2):thetransmittedeldwrites: writes: andpropagatesuptothexedmirrorM2whereitisreected.Theeld!E02afterreection !E02(t)=Tp2E0(t)bv !E2(t)=Tp2E0(t)bv (5.31) (5.30) totalelectriceldwrites: Afterre-combinationoftheelectriceldissuedfromthetwoarmsoftheinterferometer,the throughP2.Finally,attheexitofthearm(2),theresultingelectriceldis: Theelectriceld!E02back-propagatestothebeamsplitterandistransmittedasecondtime E0(t)=1 p2R2E0(t+)buT2E0(t)bv !E00 2(t)=T2 p2E0(t)bv (5.33) (5.32) ThiseldisthetotalelectriceldincidentontheP1polarizer.Thispolarizerreectselectriceld withcomponent/(bubv)=p2andtransmitthecomponents/(bu+bv)=p2.Henceonlythelatter polarizationcomponentistransmittedtotheGolaycellafterreectionandfocusingontheo-axis parabolicmirror;ittakestheform: IndeedtheGolaycellissensitivetotheaveragepowerhjEg(t)j2itwhichis: Ifweassumethepolarizertobeperfectconductor,thenR2=T2=1=2andtheelddetected reducedto: EG(t)=R EG(t)=R 2p2R2E0(t+)T2E0(t) 2p2[E0(t+)+E0(t)] (5.35) (5.34) whichcanbeexpressedintheintegralform: I()/2hjE0(t)j2it[E0(t)E0(t+)+E0(t)E0(t+)] I()/2Z+1 | 1jE0(t)j2dt baseline2
FinallyitisinterestingtonotethatFourier-transformingEqn.(5.37)gives: Inthefollowingwewillreplacethetimedelay,,byanopticalpathdierence(OPD),,(=c). whichmeanthattheautocorrelationistheFouriertransformoftheenergyspectrumoftheincom- Thereforetheautocorrelationpartcanbewritten(sinceeE(!)=eE(!)): I()/2Z+1 1jfE0(!)j2d!2
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HighBrightnessElectronBeamDiagnosti
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eratedupto48MeVpriortothelasingsyst
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IthanktheCEBAFmachineoperators,with
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3.4MeasurementoftheLongitudinalResp
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5.6ZerophasingTechniqueforBunchLeng
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ListofTables 3.2Comparisonofcoecien
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ListofFigures 1.1Comparisonoftheexp
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3.11Momentumcompactionandnonlinearm
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4.18Overviewofthephasespacesampling
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5.16Interferogrammeasuredfordierent
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6.10Comparisonofthermstransversehor
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Chapter1 UVdomainandareplannedtogen
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space-chargeinthelowenergyregime,an
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!Vjitsthevelocity,and!Xjisthepositi
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equation boundarybetweenvacuumandam
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10 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.
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1.0 0.8 0.6 0.4 0.2 E=10 MeV E=42 M
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00000000000000000000000000000000000
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harmonicwithproperchoiceoftheKvalue
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Bu(rms)0.28T ParameterValueUnit Nu
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2.7TheJeersonLabIRproject usedasexp
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Study TheFELdriveraccelerator:Latti
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ParameterValue x -0.178 x(m) 8.331
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Thepurposeofmeasuringthetransverser
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computedusingthelatticeset-upuseddu
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etatronexcitationaspicturedingure3.
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∆ x (mm), Corrector 0F00H ∆ x (
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1 0.5 0 spreadoftheparticlewassetto
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2 1 −5 −3 −1 1 3 5 k (m q −
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Experimentallythecalibrationcoecien
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tioned.FromthetransferfunctioninFig
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Pickup Experiment #2 #3 #4 Simulati
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Fromthesebothmeasurementitispossibl
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. . . . . . . . . . . . . . . . . .
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10 5 Sext. ON Figure3.20:Eectofthes
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spaceabeamthatconsistsofNparticles,
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Asforthegeometricemittanceonecanden
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(a) ceramic radiator beam x-wire be
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and validundertheassumptionofaunifo
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1000 900 800 700 Figure4.4:Steadyst
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Page 109 and 110: Table4.7:Typicalsystematicerroronem
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Page 121 and 122: Population Population 100000 90000
Page 123 and 124: Theequation5.8yields: f()=jZ+1 11Xn
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Page 127 and 128: contrastintheCEBAFmachine,varyingas
Page 129 and 130: 1.5 1 correspondtothevarianceofveco
Page 131: Ε’ 2 B Mirror M 2 Ε2 Polarizer
Page 135 and 136: Itsautocorrelationis:S(z)=8>:(1=w2)
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Page 149 and 150: Golay Cell Ouput (V) Golay Cell Oup
Page 151 and 152: 150 100 5 4 Figure5.19:Energyspectr
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Page 157 and 158: σ x (m) x 10−3 5 4 3 2 1 0 0 5 1
Page 159 and 160: BeamDynamicsStudies Chapter6 undula
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Page 163 and 164: Space Charge over Emittance Ratio (
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Page 169 and 170: ε x (mm−mrad) Nominal 6 4 2 cryo
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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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High Brightness Electron Beam Diagnostics and their ... - CASA

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