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

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1000 900 800 700 Figure4.4:SteadystatetemperatureversusaveragebeamcurrentforthreedierentTRradiator thicknessandabeamequivalentradiusof2mm. 600 distribution): 500 00000 11111 00000 11111 00000 11111 00000 11111 400 2 m 00000 11111 0.5 micron 00000 11111 00000 11111 2 1micron m 00000 11111 00000 11111 RewritingtheaboveequationintheFourierspaceyieldsthescatteringdistributionfunctionofthe whereistheconvolutionproduct. S()=(TB)() (4.18) 00000 11111 1 0.5 micron m 00000 11111 00000 11111 300 0 100 200 300 400 500 600 700 Average Beam Current ( A) Fromthisgurewecanseethatthelargerthethicknessis,thelargerthermsscatteringangle(i.e. varianceofthescatteringdistribution)is. ComparisonwiththeTheory TheF1istheinverseFouriertransformation.Wehavenumericallyperformedthisdeconvolution, andthecalculatedscatteringfunctionsforthreedierentfoilthicknessareshowningure4.6. Itisusefultocomparethepreviousresultswiththetheory,inordertoseehowaccuratelyweare abletopredicttheeectsofanOTRradiatoronthebeam.Thereareseveraltheoreticalmodel Temperature ( o K) Melting point foil: T=F1SB (4.19)
Wire Scanner Readback (mV) 1200 1000 Foil out 800 600 400 whichdependsonthemeanaverageofcollisionanelectronexperiencesasitpassthroughthe foil:simplescattering(1), beamismeasuredusingawirescannerlocateddownstreamthefoil. describingscatteringinsideverythintargetseachofthemhavetheirowndomainofapplicability Figure4.5:Anexampleoftheeectofa0:8mthickaluminumfoilonthebeamprole.The 0.8 m Foil in 200 0 0 10 20 30 40 50 60 pluralscattering(1 20), Position (mm) thatdescribesmultiplescattering.ThedetailedstudyofKeilmodelisoutofthescopeofthis thesis.Inbrief,KeilusedtheFouriertransformofthescatteringdistributionderivedbyMoliere Inthecaseofaluminumfoilwiththicknessthinnerthan5m,themeannumberofcollisionbeing lessthen20weareinthepluralscatteringregime.Thistypeofscatteringiswelldescribedby thesemi-empiricalmodelelaboratedbyKeil[30]whichisanextrapolationoftheMolieremodel multiplescattering(20). andonlyconsideredthetworsttermsofthisseries,avalidapproximationifthemeannumber ofcollisionisbelow20.Hethenempiricallycalculatedthenumericalcoecientoftheseriesusing theexperimentalmeasurementsperformedbyLeisegang[31]ashewasexperimentallystudying scatteringthroughverythingoldfoils.Therelationthatgivestheangularscatteringdistribution
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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
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
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Page 37 and 38: harmonicwithproperchoiceoftheKvalue
Page 39 and 40: Bu(rms)0.28T ParameterValueUnit Nu
Page 41: 2.7TheJeersonLabIRproject usedasexp
Page 44 and 45: Study TheFELdriveraccelerator:Latti
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
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Page 60 and 61: Experimentallythecalibrationcoecien
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Page 64 and 65: Pickup Experiment #2 #3 #4 Simulati
Page 66 and 67: Fromthesebothmeasurementitispossibl
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Page 70 and 71: 10 5 Sext. ON Figure3.20:Eectofthes
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Page 74 and 75: Asforthegeometricemittanceonecanden
Page 76 and 77: (a) ceramic radiator beam x-wire be
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Page 82 and 83: Fraction of Beam enclosed within (%
Page 84 and 85: 5 2 2 3 4 5 6 7 8 9 10 0 10 5 2 Foi
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
Page 94 and 95: Let'sassumethethinlensapproximation
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Page 98 and 99: 20 18 16 . 14 . 12 . Figure4.14:Rel
Page 100 and 101: 100 10 −3 10 −2 10 −1 10 that
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Page 109 and 110: Table4.7:Typicalsystematicerroronem
Page 111 and 112: 180 8 160 6 Figure4.22:Anexampleof2
Page 113 and 114: 4.0 3.5 3.0 2.5 Figure4.24:Emittanc
Page 115 and 116: Characterization LongitudinalPhaseS
Page 117 and 118: concentrateonthebeamparametersinthe
Page 119 and 120: 1.1 1 mrad 0.9 5 mrad mainlyduetoth
Page 121 and 122: Population Population 100000 90000
Page 123 and 124: Theequation5.8yields: f()=jZ+1 11Xn
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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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High Brightness Electron Beam Diagnostics and their ... - CASA

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