ZGOUBI USERS' GUIDE - HEP

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58 4 DESCRIPTION OF THE AVAILABLE PROCEDURESThe R.F. frequency is computed using §qÇ©ŠUq qq> ¡-, >¦ ¡., ¥qUq£ qqŠ> 7$‘>>wqSCALING: Time scaling of power supplies and R.F.SCALING acts as a function generator dedicated to varying fields in optical elements, or potentials in electrostatic devices,or frequency in CAVITE. It is normally intended to be declared right after the object definition, and used in conjunctionwith REBELOTE, for the simulation of multiturn tracking - possibly including acceleration cycles.SCALING acts on families of elements, a family being designated by its name that coincides with the keyword of thecorresponding element. For instance, declaring MULTIPOL as to be varied will result in the same timing law beingapplied to all MULTIPOL’s in the zgoubi optical structure data file. Subsets can be selected by labeling keywords in thedata file (section 4.6.3, page 133) and adding the ¨¦´¡.¢¨ corresponding (’s) in the SCALING declarations ¨¦´¡W¢¨ (two ’smaximum). The family name of concern, as well as the field versus timing scaling law of that family (or frequency versustiming in the case of CAVITE) are given as input data to the keyword SCALING. Up to 9 families can be declared assubject to a scaling law; a scaling law can be made of up to 10 successive timings; between two successive timings, thevariation law is linear.An example of data formatting is given in the following.18131E-3V¡ 424176E-3V¡ 418131E-3V 24176E-3V\SCALING- Scaling1 4 Active. 4 families of elements are concerned, as listed belowQUADRUPO QFA QFB- Quadrupoles labeled ’QFA’ and Quadrupoles labeled ’QFB’2 2 timings18131.E-3 24176.E-3 The field increases (linearly) from to1 6379 from turn 1 to turn 6379MULTIPOL QDA QDB- Multipoles labeled ’QDA’ and Multipoles labeled ’QDB’218131.E-3 24176.E-3 Fields increase from to poles)1 6379 from turn 1 to turn 6379BEND- All BEND’s (regardless of any LABEL)218131.E-3 24176.E-3 Same scaling1 6379VCAVITE- Accelerating cavity21 1.22 1.33352 The synchronous rigidity1 1200 6379 fromfrom 1.22(¤~ ¡., increases, ¥¥¥ to 1.22 V¡., ¥}¥ from turn 1 to 1200, and¡-, ¥}¥ to 1.33352¡-, ¥}¥ from turn 1200 to 6379¡-, q " q¡ b¡ bThe timing is in unit of turns. In this example, TIMING = 1 to 6379 (turns). Therefore, at turn number £ , ¡ and ¡ b areupdated in the following way. Let SCALE(TIMING £ ) be the updating scale factor£ SCALE” B” B@ R BG wqH¦ GU§ wand then¡ £ SCALE£ ¡ 4£ SCALE£ ¡ b 4¡ b where the rigidity is updated in the following way. Letin the keyword OBJET for instance). Then, at turn £ number ,¡., ¥ be the initial rigidity (namely,¡., ¥ ¥ ¡ ! 1 !¥ as definedµ‚¨ ;2¥
4.3 Declaration of options 59if qî££îîq§¦§qqqqqqq ¡., ¥}¥q¦q£qqwq£wqif q î\\then, £ SCALE@B @@ w@ \\ w£ then, SCALEB UUUN@ wB @@@ \\ @ \\GUB @@ GU§ w@ \\and then,SCALE £ …ƒ £from which value the calculations of ¡-, ¥£ follow.µ‚¨Note : It may happen that some optical elements won’t scale, for source code developement reasons. This shouldbe paid attention to.
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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
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 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: 4.3 Declaration of options 57RESET:
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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