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46 4 DESCRIPTION OF THE AVAILABLE PROCEDURES?{¤1³£7>DDDD7 >DDbig Awith the Twiss matrix, following ?1 big A ¤1DD{©Ë – d • J©Ë – d • FIT: Fitting procedureThe keyword FIT allows the automatic adjustment of up to 20 variables, for fitting up to 20 constraints. It has been realizedafter existing routines used in the matrix transport code BETA [15]. Any physical parameter of any element (i.e. keyword)may be varied. Available constraints are, amongst others: any of the Gcoefficients of the first order transfer matrix1 bhg G as defined in the keyword MATRIX, and its horizontaland verticalA 1 7k7 1 >k> w†1 7 > 1 > 7determinants; horizontal and vertical tunes (if periodical structure); any of the G G Garray ?coefficients of the second ordercoefficients of D the -matrix as defined by 1 T$T 1 PkP wC1 T P 1 P T bigkj Aas defined in MATRIX ; any of the @ R7$7> 7>k>A ¥„ big¦„……®? DTkTT P< |{andany trajectory coordinates as (¤ defined in OBJET = particle number,"k¤respectively , ,¥ , ,or path O length).d •Tunes – Ë ·and Twiss periodic É functionsof the full optical structure transfer ? matrix= coordinate number = 1 to 6 forare adjustable as well; they are defined by identificationP TPkP'¦ @whereino ¹ É w Á w ¹ s .– d •"k¹Š&†– d •" Á – d •{-'ž @VARIABLESThe first input data in FIT are the number of variables NV , and for each one of them, the following parameters1 number of the varied element in the structurenumber of the physical parameter to be varied in this element¤¦¥²coupling parameter. Normally § ²aC\. If § ²ˆ‡ K\, coupling will occur (see below).§allowed relative range of variation of the physical parameter ¤¥ .O‚Ñumbering of the elements (IR):The elements (DIPOLE, QUADRUPO, etc.) are numbered following their sequence in the zgoubi input data file, for thepurpose of the FIT procedure. The number of any element just identifies with its position in the data sequence. However,a simple way to ¤ get is to make a preliminary run: zgoubi will then print the whole structure into the file zgoubi.reswith all elements numbered.Numbering of the physical parameters (IP):In the elements DIPOLE, AIMANT and EBMULT, ELMULT, MULTIPOL, the numbering of the physical parametersjust follows their sequence, as it is shown here after for DIPOLE-M: the left column below represents the input data, theright one the corresponding numbering to be used for the FIT procedure.Input dataDIPOLE-MNFACE, ¤ ², ¤÷¨ 1, 2, 3Numbering for FIT¡ 4£ ¡ 46 > T P M 7² 7‰ ‰Å ÃIAMAX, IRMAX 4, 5, , ,6, 7, 8, 9AT, ACENT, RM, RMIN, RMAX 10, 11, 12, 13, 14, 15,16NC , , , , , , shift 17, 18, 19, 20, 21, 22, 23, 24, , , , , 25, 26, 27, 28, 29, 30etc.etc.
4.3 Declaration of options 47· £¨ ²£>7@77>>10 ?E" BDBEB " q20 ?E" BDBEB "A7qA7@1Parameters in SCALING also have a specific numbering, as follows.Input dataSCALINGIOPT, NFAMNAMEFNumbering for FITNAMEFv¤¤ , ¤ q , £10 ?E" BDBEB " q £# \V£#¤ , ¤ q , £2 \ @v¤...etc. up to NFAM¤ , ¤ q , £20 ?E" BDBEB "For all other keywords, the parameters are numbered in the following wayetc.@ \ @V£#Input dataNumbering for FITKEYWORDfirst line 1, 2, 3,...second line 10, 11, 12, 13,...this is a comment a line of comments is skippednext line 20, 21, 22,...and so on... 30, 31, 32, 33,...The examples of QUADRUPO (quadrupole) and TOSCA (Cartesian or cylindrical mesh field map) are given below.Input dataQUADRUPONumbering for FIT1¤÷¨ 4, , 10, 11, 12§ ¨, 1 20, 21¡ 4 Š §‹ŠNCE ³ 7, ,>, ,T, ² P, ² M ² ² ² ²Œ , Œ 40, 41§ 4NCS , , ³ 7, ² >, ² T, ² P, ² M² ²30, 31, 32, 33, 34, 35, 3650, 51, 52, 53, 54, 55, 56XPAS 60KPOS, XCE, YCE, ALE 70, 71, 72, 73> A· ² ¨¤ , ¤ @ \ £#> A2 q , £TOSCABNORM, X- [, Y-, Z-]NORM 10, 11 [, 12, 13]TITThis is text¤ ², ¤÷¨ 1, 2FNAMEThis is text¤§ , ¤¦ , ¤ , MOD 20, 21, 22, 23IORDRE 40XPAS 50KPOS, XCE, YCE, ALE 60,61,62,63¤Ò , ´ , ¡ , ² [´ ), ¡ ), ² ) , etc. if ¤Ò-Ž] 30, 31, 32, 33 [34, 35, 36 [, 37, 38, 39] if ¤Ò Ž]Coupled variables (§ ²)§ ²€€¤€€¤¦¥ €€€). For example, § ²ý @ \ ƒq\\Coupling a variable parameter to any other parameter in the structure is possible. This is done by giving a valueof the form where the integer part is the number of the coupled element in the structure (equivalent to , seeabove), and the decimal part is the number of its parameter of concern (equivalent to , see above) (if the parameternumber is in the range 1,...,9, then must take the form is a request for coupling withis a request for coupling with thethe parameter number 1 of element number 20 of the structure, while § ² @ \ ƒparameter number 10 of element 20.
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 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: 4.3 Declaration of options 45END or
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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