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110 4 DESCRIPTION OF THE AVAILABLE PROCEDURES£¥'£4˜7 ¨w'« ² >|¨³o£w'« ³£q£@>w>q5¯ °± ¥'« ³£ î>T£££'« ³Ž ¡ C\£4 – ¡£ŒP>wq>§>'« ³£M£4 ¡4 1¥@>V4>T7 ¨'« ² > ¨³'« ³QUADRUPO: Quadrupole magnet (Fig. 32)4The length of §„¨ the magnet is the distance between the effective field boundaries (EFB). The field at the pole¡ 4tip 1.The extent of the entrance (exit) fringe field is characterized Š³Œ by . The distance of ray-tracing on both sides of theEFB’s, in the field fall off regions, will ³ Š be at the entrance, o—§ Œ and at the exit (Fig. 33), by prior and furtheroa§automatic changes of frame.In the fringe field ? regionsŠ Š Aand ? § Œ "$§ Œ Aon both sides of the EFB’s, ¡ §#"kS"e and its derivatives up to§ "/§fourth order are calculated at each step of the trajectory from the analytical expressions of the three components , ,¡|– ¡ •obtained by differentiation of the scalar potential (see section 1.3.6) approximated to the 8th order in ¡ and Ž . is) )) ) ) )§©"$Œ"[ U” Rs ›.> w) ) ) ) ) )\ R \ @ZU £ £ > £) whereis the gradient on axis [17]:§#") ) " BDBDB with£ 3'£ 4£ 43' and,;';'where,When fringe fields overlap inside the magnetis the distance to the field boundary and stands for ³ Š or ³ Œ (normally, ³ ]³Š § Œ , the gradient§).is expressed as1 4 ² ² ² T„¨ ² P ¨ ² M ¨ C² ²§ ¨where,If Š †$ ³ Œ $, the field at entrance (exit) is considered as sharp edged, and then § Šmere purpose of saving computing time).Outside of the fringe field regions (or everywhere when ³ Š ³Œ K\) ¡ ³Š is the entrance gradient andŒ is the exit gradient.§ Œ is forced to zero (for the§#"$Œ"[ in the magnet is given byŠ £ 4¡|•
4.4 Optical Elements and related numerical procedures 111Figure 32: Quadrupole magnetFigure 33: Scheme of the longitudinal field gradient ! £. §is the longitudinal axis of the reference frame§\ "/§©"$Œ"[ of zgoubi. The length of the element is §„¨ , but trajectories are ray-traced from w §ãŠto §„¨ § Œ , by means of prior and further automatic changes of frame.
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CEA DSM DAPNIA-02-395 (2002)ZGOUBI
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Table of contentsPART A Description
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PART ADescription of software conte
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8¤¥ PARTICUL Particle characteris
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10ELECTROMAGNETIC ELEMENTSDecapoleD
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!!%" && 131 NUMERICAL CALCULATION
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1.2 Integration of the Lorentz Equa
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1.2 Integration of the Lorentz Equa
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4Ž ^ ˜ ¡§ ^"- ^ ˜ ¡ ^¡wTGT
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in fourth order. The coefficients
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4 ´ ´""4§> ´4 >4>1.4 Calculati
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A cylindrically symmetric field can
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Introducing also ¡The derivatives
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30 3 SYNCHROTRON RADIATION¾ÍôVT
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32 3 SYNCHROTRON RADIATIONÉ Éwher
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354 DESCRIPTION OF THE AVAILABLE PR
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4.2 Definition of an Object 37where
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4.2 Definition of an Object 39\Pqî
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4.2 Definition of an Object 41¹q
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4.3 Declaration of options 43\P4.3
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4.3 Declaration of options 45END or
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4.3 Declaration of options 47· £
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4.3 Declaration of options 49{ww{{q
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4.3 Declaration of options 51GASCAT
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4.3 Declaration of options 53·{N$
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4.3 Declaration of options 55PARTIC
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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
Page 109: 4.4 Optical Elements and related nu
Page 123 and 124: 4.5 Output Procedures 123¨ ¢ < ¤
Page 125 and 126: 4.5 Output Procedures 1254·444"4HI
Page 127 and 128: 4.5 Output Procedures 127PICKUPS: B
Page 129 and 130: 4.5 Output Procedures 129wSPNPRNL,
Page 131 and 132: 4.5 Output Procedures 131TWISS: Cal
Page 133 and 134: 4.6 Complementary Features 133U@©@
Page 135: 4.6 Complementary Features 135¢ww@
Page 139 and 140: Keywords and input data formatting
Page 141 and 142: Keywords and input data formatting
Page 143: Keywords and input data formatting
Page 146 and 147: 146 Keywords and input data formatt
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160 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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