High Brightness Electron Beam Diagnostics and their ... - CASA
High Brightness Electron Beam Diagnostics and their ... - CASA
High Brightness Electron Beam Diagnostics and their ... - CASA
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Inthexedlengtharm(2):thetransmittedeldwrites: writes: <strong>and</strong>propagatesuptothexedmirrorM2whereitisreected.Theeld!E02afterreection !E02(t)=Tp2E0(t)bv !E2(t)=Tp2E0(t)bv (5.31) (5.30)<br />
totalelectriceldwrites: Afterre-combinationoftheelectriceldissuedfromthetwoarmsoftheinterferometer,the throughP2.Finally,attheexitofthearm(2),theresultingelectriceldis: Theelectriceld!E02back-propagatestothebeamsplitter<strong>and</strong>istransmittedasecondtime<br />
E0(t)=1 p2R2E0(t+)buT2E0(t)bv !E00 2(t)=T2 p2E0(t)bv (5.33) (5.32)<br />
ThiseldisthetotalelectriceldincidentontheP1polarizer.Thispolarizerreectselectriceld withcomponent/(bubv)=p2<strong>and</strong>transmitthecomponents/(bu+bv)=p2.Henceonlythelatter polarizationcomponentistransmittedtotheGolaycellafterreection<strong>and</strong>focusingontheo-axis parabolicmirror;ittakestheform:<br />
IndeedtheGolaycellissensitivetotheaveragepowerhjEg(t)j2itwhichis: Ifweassumethepolarizertobeperfectconductor,thenR2=T2=1=2<strong>and</strong>theelddetected reducedto: EG(t)=R EG(t)=R 2p2R2E0(t+)T2E0(t) 2p2[E0(t+)+E0(t)] (5.35) (5.34)<br />
whichcanbeexpressedintheintegralform: I()/2hjE0(t)j2it[E0(t)E0(t+)+E0(t)E0(t+)] I()/2Z+1 | 1jE0(t)j2dt baseline2
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