High Brightness Electron Beam Diagnostics and their ... - CASA
High Brightness Electron Beam Diagnostics and their ... - CASA High Brightness Electron Beam Diagnostics and their ... - CASA
10 5 Sext. ON Figure3.20:EectofthesextupolesintheArc3Fontheenergy-phasecorrelation.(Simulations Sext. OFF andexperimentaldataareosetforclarity). 0 Sext. ON Sext. OFF −5 −10 −0.01 −0.005 0 0.005 0.01 δE/E (no unit) φ OUT (RF−Deg)
Characterization TransversePhaseSpace Chapter4 4.1Introduction ThepresentChapterisintendedtodiscusstheemittancemeasurementthatwehavedeveloped intheIRFEL.Techniquestomeasurebothemittance-dominated1andspace-charge-dominated2 beamaredescribed.BecausebeamprolemeasurementisanintegralpartofanemittancemeasurementwedescribetheOTR-basedbeamdensitymonitorthathavebeeninstalledintheIRFEL. Beforediscussingingreatdetailthetechniquesweusetomeasurethetransverseemittanceand phasespaceparameters,andbecauseofthedierentdenitionsthatvaryfromsourcetosourcein thecontemporarybeamdynamicsliterature,wenditimperativetosettlethedenitionofbeam Bydenition,abeamisacollectionofparticlesthatarecontainedwithinaniteregionofthephase 4.1.1Beam,HamiltonianDynamicsandLiouville'sTheorem emittancethatwewillusethroughoutthisdissertation. space.Inthemostgeneralcase,thephasespaceisa6-dimensionalspace[26]andtheparticles representationconcernsthesimplestcase:inothercases,additionalcoordinatesuchasspin,for (assumedtobepoint-like)arerepresentedbytheirpositionvector(x;y;z)andkineticmomentum vector(px;py;pz),andoccupiesasix-dimensionalhyper-volumegenerallyreferredas6.This repulsion) polarizedbeams,orchargeandmass,formultiple-speciesbeams,mightberequired.Thenotion whichthekineticmomentumismuchgreaterthanthemomentuminthetwootherdirections.The choiceof(x;y;z)and(px;py;pz)ascoordinateissimplycomingfromtheHamiltoniandescription oftheparticlesystemwhichrequirescanonicallyconjugatevariables.Inthesix-dimensionalphase ofabeamalsoentailstheexistenceofaprivilegeddirection,thedirectionofpropagation,along 1emittancedominatedbeammeansthatthebeamevolutionisdrivenbyexternalforces(e.g.externalfocussing) 2emittancedominatedbeammeansthatspace-chargeforcesdominatesthebeamevolution(i.e.Coulombian 49
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10<br />
5<br />
Sext. ON<br />
Figure3.20:EectofthesextupolesintheArc3Fontheenergy-phasecorrelation.(Simulations<br />
Sext. OFF<br />
<strong>and</strong>experimentaldataareosetforclarity).<br />
0<br />
Sext. ON<br />
Sext. OFF<br />
−5<br />
−10<br />
−0.01 −0.005 0 0.005 0.01<br />
δE/E (no unit)<br />
φ OUT (RF−Deg)
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