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112 4 DESCRIPTION OF THE AVAILABLE PROCEDURES·4¥4444ºŠ¥o¢wŠ4o -Š4>, Ã wÁwŠƒ¡Ã¨ ' «ŠŠ ·É²Ã 7É4qwÉ>ô¥4ŠÊÉŠ=7SEPARA: Wien Filter - analytical simulationSEPARA provides an analytic simulation of an electrostatic separator. Input data are the ¨ length of the element, theand charge of the particles are entered by means of the keywordPARTICUL.electric field ¢ and the magnetic field ¡ . The mass The subroutines involved in this simulation solve the following system of three equations with three unknown variables, , (while §¨ ), that describe the cycloidal motion of a particle in ¢ , ¡ static fields (Fig. 34).w ¹§ wr1 · Ã ŠÉÊ s· Ã ŠÉw ² >Ã>¹ wÃ 1 (*)Ê s· (*)- where, is the path length in the ¹ separator, and> ·Q² &are initial conditions. = velocity of É light, = velocity of the particle, e¬S and ¡ )² > ºò ².,Á , ¥ , are the initial coordinates of the particle in the zgoubi reference frame. É Here and are assumedconstant, which is true as long as the change of momentum due to the electric field remains negligible all along theÁseparator.The index ¤¦´>Á , ² 7in the input data allows switching to inactive element (thus equivalent to ESL), horizontal or verticalfor wanted particles are related byseparator. Normally, ¢ , ¡ and the value of Éó(*)- 4&` Q 4¢ o ˜ ¡ sÉ>óFigure 34: Horizontal separation between a wanted particle,undergoes a linear motion while % %, and an unwanted particle,‰ undergoes a cycloidal motion.‰ .
4.4 Optical Elements and related numerical procedures 113potential approximated to 7th order in and£˜4 ¡> 4 1£wGq>Ž †\ ¡ @ ¡|–>£> w>>>>s>wTs USEXTUPOL: Sextupole magnet (Fig. 35)The meaning of parameters for SEXTUPOL 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 uo o -) ) ) )R \ Gwith£ 4Outside fringe field regions, or everywhere in sharp edge sextupole ( ³ Š ³by“\), ¡ §#"kS"e in the magnet is givenŒ£ 4n£ 4¡|• Figure 35: Sextupole magnet
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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:
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4.3 Declaration of options 59if qî
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Page 65 and 66: u2 >04.4 Optical Elements and relat
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Page 111: 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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162 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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