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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ListofFigures 1.1ComparisonoftheexpectedpoweroftheIRcwfree-electronlaserofJeersonLab 2.1Geometryoftheproblem.Inthecaseofsynchrotronemission(A),theoptical withcommonhighaveragepowersource.........................2<br />
2.2Denitionoftheanglesusedinequations(2.9)<strong>and</strong>(2.10)................8 2.3DistributionofforwardTRradiationfordierentvalueof(mentionedclosetothe pulsereferencecoordinatearetheoneoftheelectronbunchattheretardedtime. Forbackwardtransitionradiation(B),thereferencecoordinatesarethespecular reectionoftheelectronbunchcoordinateasitstrokethealuminumradiator.....5 appropriatecurve)asanelectronpassesfromtheinterfacevacuum-aluminum(A).<br />
2.4Polarplotofthenormalizedradiationpatternforanaluminumfoilwithanelectron ComparisonoftherenormalizedTRforwardangulardistributionemittedbyanelec-<br />
undernormalincidence(i.e. crystaldirection.The5.7valueisthesmallestpermittivity.Privatecommunication fromGoodfellowInc.,London,U.K.)...........................9 tronpassingthroughavacuum-aluminum(solidline)<strong>and</strong>vacuum-carbon(dashed moreexactlygraphitehastwodierentelectricpermittivityforitstwodierent line)interface(B).Forcarbonthepermittivityisassumedtobe5.7.(Carbonor<br />
2.5Fractionofthetotaltransitionpoweremittedintothehemispherethatisconcen- 1=(B)............................................11 (2.9)<strong>and</strong>(2.10)wererenormalizedto<strong>their</strong>maximumvalue...............10 tratedwithinaconeofsemi-angle(A)<strong>and</strong>containswithinaconeofsemi-angle 45degincidence(B)(i.e. Lorentzfactorwaschosentobe=10forclarityofthegure,<strong>and</strong>theequations =45deginEqns.(2.9))<strong>and</strong>(2.10).Fortheseplotsthe =0deginEqns.(2.9)<strong>and</strong>(2.10))(A)<strong>and</strong>witha<br />
2.6Angular<strong>and</strong>frequencydistributionofsynchrotronradiationforthe(A)<strong>and</strong>the 2.7PlotoftheUniversalfunctionS(!=!c).Thefrequencydistributionofthetotal 2.8FEL-oscillatorprinciple(CourtesyJ.Martz,JeersonLab)...............13 synchrotronradiationisproportionaltotheUniversalfunction.............12 (B)polarization......................................11<br />
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