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

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obtainedviathestatisticalanalysis.Theuctuationfrommeasurementtomeasurementusingthe MonteCarlotechniqueispresentedingure4.15. Whentheundulatormagnetisinstalledontothebeamline,thetworsttripletareusetomatch Parameter ~"x(mm-mrad)0.170000:169930:004790:169900:00431 x(m) x DIMADErrorPropagationMonte-CarloSimulation 5.56 1.39 5:560:18 1:390:05 5:560:17 therstrecirculationarc.Theparameterspresentedareallattheentrancefaceofthequadrupole Table4.4:Simulationoftheemittancemeasurementusingthequadrupolescanmethodpriorto ~"y(mm-mrad)0.149600:149640:004490:149690:00441 y(m) y 1.39 5.56 1:390:05 5:560:19 1:390:05 5:560:19 1:390:04 energyandthewigglerparameter)inbothplanes.Suchmatchingisrealizedbythemeanofthe centerwithavalueforbetatronfunctionofapproximately0.5meters(dependingonthebeam beingusedduringthemeasurement. thelatticefunctionatthemiddleofthewigglerinsuchawaytoobtainawaistattheundulator tomeasureemittanceinthisregion:unfortunatelywefounddicultinsimulationtoachievelarge betatronfunctionontheviewerusedintheundulatorchamber.Thispointisillustratedinthe theerrorbarsaremuchlargerthanthosegenerallyobtainedwithquadrupolescantechnique. tablebelowwhere,asbefore,wevalidatetheerrorpropagationforthemulti-monitortechnique: twoupstreamquadrupoletripletsthatcanadjustthefourbeamparameters(x,xandy,y) whilekeepingthebeamenvelopewithinthemachineaperture.Afterthewigglertwoothertriplets areusetomatchthebeamtotherecirculationtransport.Wehaveimplementedanopticstotry Parameter ~"x(mm-mrad)0.170000:170050:012330:167530:01268 x(m) DIMADErrorPropagationMonte-CarloSimulation Table4.5:Simulationofemittancemeasurementusingthemulti-monitormethodintheundulator ~"y(mm-mrad)0.149600:146600:011860:147260:01214 y(m) x 5.48 3.09 1.25 5:480:46 3:080:30 1:250:19 5:580:53 region.Theparameterspresentedareallattheexitfaceoflastdipoleofthedecompressorchicane. y -0.13 0:130:13 0:150:14 3:170:31 1:270:20 ofmagneticelements,thedispersionmaynotexactlyvanishafterthearcs.Henceitisvery Uptonowwehaveassumedthebeamprolemeasurement,forthesubsequentestimationof operateinachromaticmode)intheIRFEL.Insuchasystembecauseofpotentialmisalignment 4.4.5EectofspuriousDispersiononEmittanceMeasurement transverseemittance,isperformedinadispersionfreeregion.Practicallythisassumptionisnot afortioritrue:especiallyafterlargebendingsystemssuchastherecirculationarcs(whensetto
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . -15 -10 -5 0 5 10 15 k1MQG2F09 (1/m 2 0.006 quadscan with min=3m -x direction quadscan with min=3m -y direction quadscan with min=6m -x direction 0.005 quadscan with min=6m -y direction 0.004 0.003 0.002 intheseregions.Thenpriortomeasuringemittance,thedispersionshouldbemeasuredand insignicantimpactonthetransversemeasurementperformedwithbeamprolemonitorlocated eventuallycorrectedsothatspuriousdispersioniswithinthetoleratedvalue.Toestablishsuch settingoftheupstreamopticstoachievetwodierentminimumbetatronvalue,3and6m. importanttoassesswhatarethetoleranceonthevalueofthis\spurious"dispersiontohavean Figure4.13:Comparisonofbeamspotsizevariationversusquadrupolestrengthfortwodierent 0.001 criterion,wewritethebeamrmsspotsizeasx=p~"(1+2)whereisadimensionless 0.0 spuriousdispersionfordierentvaluesof,andthencomputetheemittance.Ingure4.16we beamprolemeasurementstationbyusingamagneticopticscodeandsuperimposetheeectsof constant(2(E=E)2)=(~")(Eisthermsenergyspread).Wesimulatethebeamsizeatagiven ) giveanupperlimitonthespuriousdispersion
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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
Page 46 and 47: ParameterValue x -0.178 x(m) 8.331
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Page 60 and 61: Experimentallythecalibrationcoecien
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Page 70 and 71: 10 5 Sext. ON Figure3.20:Eectofthes
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Page 90 and 91: Alongwiththeseimplementedoperations
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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 133 and 134: FinallyitisinterestingtonotethatFou
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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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