ZGOUBI USERS' GUIDE - HEP

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80 4 DESCRIPTION OF THE AVAILABLE PROCEDURESpotential approximated to the 5th order in and ˜Ž C\ ¡– R ¡£4 ¡P 4 1> w P G wP>n > >> TPMs NDECAPOLE: Decapole magnet (Fig. 18)The meaning of parameters for DECAPOLE is the same as for QUADRUPO.In fringe field regions the magnetic §#"$Œ"[ field and its derivatives up to fourth order are derived from the scalar¡§#"kS"e o w @with£ 4Outside fringe field regions, or everywhere in sharp edge decapole ( ³ Š ³by—\) , ¡ §©"$Œ"[ in the magnet is givenŒ£ 4(¡|• £ 4¦Figure 18: Decapole magnet
4.4 Optical Elements and related numerical procedures 81 ¨³´ 1'« ³q> 1 1, ‰: extent of the linear part of an EFB.The magnetic field is calculated in polar coordinates. At any positionvertical component of the mid-plane field is calculated by 1"/Å along the particle trajectory the value of the¤ (4.4.8)ÕÔ"$Å V¡ 4 £nV o ¡V o£where , and £ ¡"$Å is the fringe field coefficient.V oCalculation of the Fringe Field CoefficientWith each EFB a realistic extent of the fringe field, (normally equal to the gap size), is associated and a fringe fieldcoefficient is calculated. In the following stands for either ³ (Entrance), ³ Œ (Exit) or (Lateral EFB).³%µ ³ ³ Šis an exponential type fringe field (Fig. 11) given by [17];'whereinis the distance to the EFB and depends on¯‡°± ¥ , and "/Å3' ² ² ² P ¨It is also possible to simulate a shift of the EFB, by giving a non zero value to the parameter SHIFT.SHIFT in the previous equation. This allows small variations of the magnetic length.' wis then changed to ² M ¨ ² T ¨Š LetŒ (respectively , ) be the fringe field coefficient attached to the entrance (respectively exit, lateral) EFB. Atany position on a trajectory the resulting value of the fringe field coefficient (eq. 4.4.9) is
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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
Page 30 and 31: 30 3 SYNCHROTRON RADIATION¾ÍôVT
Page 32 and 33: 32 3 SYNCHROTRON RADIATIONÉ Éwher
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
Page 79: 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,
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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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