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

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Fraction of Beam enclosed within (%) 100 90 80 t=0.25 m t=0.8 m t=1.5 m 70 60 Figure4.6:Angularscatteringdistributionexperimentallymeasuredforthreedierentthicknesses 50 ofAluminumfoil. 40 30 20 10 0 numberofcollisionisafunctionoftheatomicweightA,theatomicnumberZ,andthethickness foragivenmeannumberofcollisionsasafunctionofthereducedanglesisgivenby: wherethecoecentsc1andc2areconstantthatwheredeterminedfromexperiment.Themean F(;s)=eXk=0mk Xl=0CkmCmk l bk1Bl2((c1l+c2k)2+2s)3=2 lc1kc2 (4.20) 0.0 0.0002 0.0004 0.0006 0.0008 0.001 (rad) ofthefoil: whereisthereducedvelocity. Thereducedangle,s,inthelatterequationisrelatedtotheprojectedangleviatherelation: =8:83103tAZ4=3 2 (4.21) inMeV.ItisworthwhiletonotethattheworkofKeil(asMoliere)wastoshowthattheangular scatteringdistributioninthepluralscatteringregimedoesnotexactlyfollowagaussiandistribution wherethecriticalangleisdenedas=4:23Z1=3 E,Ebeingtheenergyoftheincidentelectrons s= (4.22)
Table4.2:SurveyofmaterialscommerciallyavailableformonitoringintensebeamswithTRra- corresponding #ofcollisionperm7.58.78.313.628516290127 material thinnestfoilavailable0.250.250.50.510.50.250.250.1 1.92.24.26.828261522.622 BeCMgAlTiFeCuAgAu diators;weexcludedthematerialswithlowthermalconductivityandmeannumberofcollision greaterthan30intheirsmallestthickness. (sincetheaveragenumberofcollisionistoolowtofulllthevalidityofthecentrallimittheorem). NumericalSimulations Thegaussiancharacterofthedistributionespeciallydeterioratesatlargeangle,wherelargetail Tocompletearestudies,wehaveperformednumericalsimulationusingthemonte-carlocode behaviorcorrespondingtothecasek=0andl=0intheEqn.(4.20). tendtodevelop.Italsobreaksdownforsmallanglewherethescatteringdistributionhasadirac-like experiment. AComparisonbetweenExperiment,TheoryandSimulation scatterings.Wehaveusedthiscodetosimulateeachofthefoilsusedinthepreviouslydescribed GEANTfromtheCERNLIBwhichisapopularsimulationtoolintheParticlePhysicscommunity.ThiscodehasascatteringroutinethatusestheMolieremodel.Howeveriftheparameters aresothattheMolieremodelisnotapplicable,GEANTwillsimulateaseriesofsingleCoulomb withasafetymargin,thefractionofthebeamwemayloseasthebeampassthroughathinfoilof material. worstcase.ThereforeitseemswecanusethenumericalsimulationsortheKeilmodeltopredict, theworstcase.Howeverbothofthemareoverestimationsofthemeasurementbyfactorof5inthe 70%,95%ofthebeam.Clearly,theKeilmodelandthenumericalsimulationagreewithin50%in Wesummarizetheresultsgivenbytheexperiment,thetheoryandthenumericalsimulationin gure4.7wherethedierentcurvesshowtheeectofthefoilthicknessonthesemi-anglecontaining carbon;theyareequivalentbutwepreferthelatterbecauseofthechemicaltoxicityofberyllium. 4.3ThePossibleUseofCarbonasTRradiator WehavesurveyedthecommerciallyavailableverythinmaterialthatmaybeusedasTRradiator. Intable4.3wegatherseveralmaterialthatcouldbeusedandcanselfsupportona10mmdiameter holder,withthecorrespondingmeannumberofcollision.Thebestcandidatesareberylliumand veryhighmeltingtemperature.UsingtheGEANTcodeweestimatedtheangularscattering Anotheradvantageofcarbonisitscapabilityofwithstandingveryhighcurrentbecauseofits
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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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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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