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

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

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5.16InterferogrammeasuredfordierenttransversebeamsizeontheTRradiator.The 5.17Symmetrizationoftheautocorrelationbydierentmethods(A)(seetextfordetail) 5.18Energyspectrumobtainedbyconsideringdierentnumbersofdatapointsfrom leftplotsarethemeasuredinterferogramswhereastherightplotsshowthebeam transverse(horizontal<strong>and</strong>vertical)distributions.....................127<br />

5.19EnergyspectrumobtainedbyFouriertransforminganautocorrelationwith256data alongwiththecorrespondingpowerspectrum(B)....................128 theautocorrelation.Thenumbersareallpowersoftwo,asrequiredbytheFFT algorithmweused......................................128<br />

5.21ExperimentalsetuptomeasurebunchlengthwithzerophasingmethodintheIR-FEL 5.20Recoveredlongitudinalbunchdistributionforthedierentextrapolationofthepower driveraccelerator......................................130 spectrumshowningure5.19...............................129 sidered............................................129points(solidlinewithsquares)<strong>and</strong>thedierentlowfrequencyextrapolationscon- 5.24Longitudinalphasespaceslopeevolutionalongthedriftbetweentheentranceofthe 5.23picturaleectoflongitudinalspacechargeforceonthephasespacedistribution...131 5.22Horizontalbeamenvelopeevolutionfromtheexitofthefourcavitiesinthecry- parmelaisturnedon<strong>and</strong>o...............................130 ferentnumbersofzerophasingcavities.Foreachcase,thespacechargeroutineinomoduleuptothebeamprolestationinthespectrometertransportlinefordif 5.25RMShorizontalbeamsizeattheprolemeasurementstationversusnumberof thespacechargeroutineinparmelaturnedon(uppercurve)<strong>and</strong>o(lowercurve).131 numberofcavitiesusedforthezerophasingisindicatedbeloweachcurve.Theslope isnormalizedtotheinitialenergy.Foreachcasethesimulationisperformedwith zerophasingcavities....................................132 rstzero-phasingcavityuptotheentranceplaneofthespectrometerdipole.The<br />

5.26<strong>Beam</strong>spotonthedispersiveOTRmonitorforthethreephasesofthezero-phazing 5.27Typicalzerophasingbasedmeasurement.The2Dfalsecolorimagerepresentsthe whereallthe\zerophasing"cavitiesareo(topline),arephased-90degw.r.t. themaximumaccelerationphase(middleline)<strong>and</strong>arephased+90degw.r.t.the measurement.........................................133 beamspotmeasuredonthedispersiveviewerinthespectrometerlinewhereasthe maximumaccelerationphase(bottomline)........................134<br />

rightplotistheprojectionontothehorizontalaxis.Measurementforthecase

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