High Brightness Electron Beam Diagnostics and their ... - CASA
High Brightness Electron Beam Diagnostics and their ... - CASA High Brightness Electron Beam Diagnostics and their ... - CASA
ofthelinechargeandtheobserverelectron.Theretardedangle0isrelatedtothepresentangle directionfromthelinecenterandtheobserverelectron.Thequantityinbracketmustbeevaluated forthepresentanglesrij(resp.fij)thatcorrespondstotheanglebetweentherear(resp.front) wherei,iaretheusualLorentzfactorsfortheorbitinglinei,bnijisthenormedvectoralongthe wherejisthetotaltransversedisplacementoftheobserverelectronwithrespecttothetrajectory ofthelinecharge. ThedenominatorofEqn.(B.9)canalsobeexpressedasafunctionoftheretardedtimeusinggeo- iandtheobserverjwehave: byatranscendequationderivedfromgeometricalconsideration.Forinstanceforthelinecharge metricalconsideration. 2iR2i(0)2=2j+2Ri(Ri+xj)(1cos(0)) (B.10) linechargecanbereplacedbyamacroparticlewhichcarry,asinPARMELA,auniformcharge. Theextensiontoabunchofelectrondescribedbyamacroparticlemodelisstraightforward:the whereNisthenumberofmacroparticleinthemodel. Infactthis\pointbypoint"typemacroparticlealgorithmhasalreadybeenimplementedinthe Thereforethetotalelectriceldproducedbythebunchofmacroparticleataretardedtimeonan JLabPARMELAversiontosimulatemacropaticleinteractionviaspace-chargeforce.Hencewe observermacroparticleatthepresenttimesimplywritesasthesum: caneasilymodifytheexistingalgorithmtosimulateCSRselfinteraction. TheretardedangleisevaluatedasdescribedbyCarlstenusinganiterativeprocesstosolvethe Etotal j=NXi=1Ei;j (B.11) transcendentequationEqn.(B.10).ThemodeldescribedintheprevioussectionasbeenimplementedintheJLabversionofPARMELA(bothaHP9000andaCrayC90versions).Pratically, whenthebunchentersabendinwhichtheuserwishtoincludeCSRinteraction,theradiusofthe trajectoryofeachmacroparticleisealuatedandthen,basedongeometricalconsideration,allthe parameterinEqn.(B.9)arecomputedandtheeldduetobunchonamacroparticleisevaluated. intheBENDCSRcardthesubroutinecsriscalled. Thisoperationisperformedforeachmacroparticleandthereforealargenumberofiterationis BENDcard.Thiscardmustbeusedtoindicatethebendingmagnetwheretheuserwishtosimulate CSRinteraction.Secondly,wehavemodiedtheprogramPARMDYNsothatwhentheelectronsare showningrey:rstlywehaveintroducedanewcardBENDCSRwhichfollowthesamesyntaxasthe needed.TypicalCPUtimeneededtorunoneFELchicaneisapproximately1hrwallclock.A blockdiagramofthePARMELAcodeispresentedinFig.B.1.Themodicationperformedare
Initialization MAIN Stop INPUT DECK INPUT BEAM START/RESTART PARMDYM (particle dynamics) SCHEFF Space-Charge Loop on time steps Loop on particles SAVE CSR Csr Interaction FigureB.1:Parmelasimpliedalgorithm. BENDCSR BEND DRIFT QUAD POISSON CELL SWAP/ OUPUT BRANCHES Yes No LAST PARTICLE OUPUT No End Yes END
- Page 149 and 150: Golay Cell Ouput (V) Golay Cell Oup
- Page 151 and 152: 150 100 5 4 Figure5.19:Energyspectr
- Page 153 and 154: Figure5.23:picturaleectoflongitudin
- Page 155 and 156: . .. .. . .. . . .. . .. . . .. . .
- Page 157 and 158: σ x (m) x 10−3 5 4 3 2 1 0 0 5 1
- Page 159 and 160: BeamDynamicsStudies Chapter6 undula
- Page 161 and 162: x,y (mm) 6.0 4.8 3.6 2.4 1.2 x y 0.
- Page 163 and 164: Space Charge over Emittance Ratio (
- Page 165 and 166: numericalsolution[56].Thisapproxima
- Page 167 and 168: 0.03 . .... . .. ... . .. ..... . .
- Page 169 and 170: ε x (mm−mrad) Nominal 6 4 2 cryo
- Page 171 and 172: 2.2 2 1.8 Figure6.10:Comparisonofth
- Page 173 and 174: 6 4 2 Figure6.12:\R55"transfermapfo
- Page 175 and 176: 10 1 5 10 0 500 1000 1500 2000 2500
- Page 177 and 178: EnergySpread(%) BunchLength(mm) Par
- Page 179 and 180: 15 Effect of RMS energy Spread 10 F
- Page 181 and 182: 6.4.4BunchSelfInteractionviaCoheren
- Page 183 and 184: 100 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0
- Page 185 and 186: Inthesecondseriesofrun,wewereableto
- Page 187 and 188: Conclusion Chapter7 Therecirculator
- Page 189 and 190: [2]Y.Shibata,T.Takahashi,T.Kanai,K.
- Page 191 and 192: [29]J.-C.Denard,C.Bochetta,G.Traomb
- Page 193 and 194: [65]B.C.Yunn,\ImpedancesintheIRFEL"
- Page 195 and 196: TEM:transverseelectricmagnetic. TOF
- Page 197 and 198: B.2Anoteonspacecharge Wedenetheslop
- Page 199: B.3.3PARMELA FeaturesofJeersonLabVe
- Page 203 and 204: C.0.6TheDispersionRelationsfor^S(!)
- Page 205 and 206: have: Howeveritshouldbenotedthatweh
- Page 207: FigureD.1:OverviewoftheRF-controlsy
Initialization MAIN<br />
Stop<br />
INPUT DECK INPUT BEAM START/RESTART<br />
PARMDYM (particle dynamics)<br />
SCHEFF<br />
Space-Charge<br />
Loop on time steps<br />
Loop on particles<br />
SAVE<br />
CSR<br />
Csr Interaction<br />
FigureB.1:Parmelasimpliedalgorithm.<br />
BENDCSR BEND DRIFT QUAD POISSON CELL<br />
SWAP/ OUPUT BRANCHES<br />
Yes<br />
No<br />
LAST<br />
PARTICLE<br />
OUPUT<br />
No End Yes<br />
END
Change language