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32 3 SYNCHROTRON RADIATIONÉ Éwhere 3 Éq qÁ>ÉÉ>É> wÉ$qÉ >É "wqÉÁ> wÉq w 6 q >is pushed, however the convergence is fast qÁsince 9 3The Fourier transforms qwhile ž " ÉÁP"s andAtg ¥¦ ® (3.2.6)>2 >Atg o with"/ "$ , while É can be written under the form w > " É" É 2 " É (3.2.7)2 w >" É " Éw43 @ 3 > ” w53 T>. This leads tow w76 ž with @ 8(*) > $ @ andAll this provides, on the one hand,6 3 @ w53 > ” 3 TG KBDBEBwhose components are combinations of terms of the same order of magnitude ( Á) and, on the other hand,andž wž wž w " (3.2.8)ž ;9that combines terms of the same order of magnitude ( 6 žand ž ÉThe precision of these expressions is directly related to the order at which the series 9), plus 9.ž ƒ 6 w ž w ž w 6 " (3.2.9)>>6 3 @ w43 >” 3 TG CBEBDBÒ q .3.2.2 Calculation of the Fourier transform of the electric fieldelectric field components provide the spectral angular energy density© A >=@?© / ¬=CBÃ @ >FE EE
3.2 Spectral-angular radiated densities [11] 33@ÌqTŠ wjÉüq>jjj7jjAnother major :Kpoint is that may reach drastically small values in the region of the central peak of the electricž impulseIƒ @ Á7emitted in a dipole ), whereas the :Ktotal integrated time may be several orders of(qmagnitude larger. In terms of the physical phenomenon, the total duration of the electric field impulse as seen by theobserver corresponds `#Mjec 7to the time delay that separates photons emitted at the entrance of the magnet fromphotons emitted at the exit, but the significant part of it (in terms of energy density) which can be represented by the widthǸMj‡c@ 5ÁÁ U>&!Œ>:K> ‘, T7@of the radiation peak [13], is a very small fraction :K of ǸMjecThe consequence is that, once again in relation with computer precision, the differential :K element involved in thecomputation of eq. 3.2.11 cannot be derived from such relation :Kj ` Xjec 7 j w ` X¬ j‡c 7as but instead must bestored as such beforehand in the couorse of the ray-tracing process.:L.:K
Page 1 and 2: CEA DSM DAPNIA-02-395 (2002)ZGOUBI
Page 3 and 4: Table of contentsPART A Description
Page 5: PART ADescription of software conte
Page 8 and 9: 8¤¥ PARTICUL Particle characteris
Page 10 and 11: 10ELECTROMAGNETIC ELEMENTSDecapoleD
Page 13 and 14: !!%" && 131 NUMERICAL CALCULATION
Page 15 and 16: 1.2 Integration of the Lorentz Equa
Page 17 and 18: 1.2 Integration of the Lorentz Equa
Page 19 and 20: 4Ž ^ ˜ ¡§ ^"- ^ ˜ ¡ ^¡wTGT
Page 21 and 22: in fourth order. The coefficients
Page 23 and 24: 4 ´ ´""4§> ´4 >4>1.4 Calculati
Page 25 and 26: A cylindrically symmetric field can
Page 27: Introducing also ¡The derivatives
Page 30 and 31: 30 3 SYNCHROTRON RADIATION¾ÍôVT
Page 35 and 36: 354 DESCRIPTION OF THE AVAILABLE PR
Page 37 and 38: 4.2 Definition of an Object 37where
Page 39 and 40: 4.2 Definition of an Object 39\Pqî
Page 41 and 42: 4.2 Definition of an Object 41¹q
Page 43 and 44: 4.3 Declaration of options 43\P4.3
Page 45 and 46: 4.3 Declaration of options 45END or
Page 47 and 48: 4.3 Declaration of options 47· £
Page 49 and 50: 4.3 Declaration of options 49{ww{{q
Page 51 and 52: 4.3 Declaration of options 51GASCAT
Page 53 and 54: 4.3 Declaration of options 53·{N$
Page 55 and 56: 4.3 Declaration of options 55PARTIC
Page 57 and 58: 4.3 Declaration of options 57RESET:
Page 59 and 60: 4.3 Declaration of options 59if qî
Page 61 and 62: 4.3 Declaration of options 61P4©@4
Page 63 and 64: 4.3 Declaration of options 63:£¨
Page 65 and 66: u2 >04.4 Optical Elements and relat
Page 67 and 68: 4.4 Optical Elements and related nu
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4.4 Optical Elements and related nu
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4.5 Output Procedures 123¨ ¢ < ¤
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4.5 Output Procedures 1254·444"4HI
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4.5 Output Procedures 127PICKUPS: B
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4.5 Output Procedures 129wSPNPRNL,
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4.5 Output Procedures 131TWISS: Cal
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4.6 Complementary Features 133U@©@
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4.6 Complementary Features 135¢ww@
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Keywords and input data formatting
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146 Keywords and input data formatt
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Examples 231oÑwü¦INTRODUCTIONSev
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2331 MONTE CARLO IMAGES IN SPES 2Fi
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235********************************
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237zgoubi data file.800 MeV/c KAON
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2393 IN-FLIGHT DECAY IN SPES 3Figur
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241Excerpt of zgoubi output : histo
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243Excerpt of zgoubi output : first
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245zgoubi data file (begining and e
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247zgoubi data file.MICROBEAM LINE,
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2499 HISTO HISTOGRAHISTOGRAMME DE L
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253INTRODUCTIONThe basic zgoubi FOR
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REFERENCES 255References[1] F. Méo
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Indexacceleration, 56, 58, 74, 155,
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