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48 4 DESCRIPTION OF THE AVAILABLE PROCEDURESIC=3 : If qnumber ¤ (qww¤1{–DD–– É{O•ñww¹–•{qGÉ•DDw¹•·{keyword, needs not appear as one of the NV variables in that data list (this would be redundant information).\, then the coupled parameter will be given the same value as theAn element of the structure which is coupled (by means of § ²y‡\ to a variable declared in the data list of the FIT²can be either positive or negative. If § ²§variable parameter (for example, symmetric quadrupoles in a lens triplet will be given the same field). § ²»ï\If , thenthe coupled parameter will be given a variation opposite to that of the variable, so that the sum of the two parameters staysconstant (for example, an optical element can be shifted while preserving the length of the structure, by coupling togetherits upstream and downstream drift spaces).Variation range (O˜ )€For ¤¦¥ a parameter of initial value€., the FIT procedure is allowed to explore q o O˜ the range .= type of constraint (see table below)., = constraint (i.e. , determinant, tune;bigkj; Dbig; trajectory ‘›¤ and co-‘ ordinate )= number of the element in the zgoubi input data file, right after whichthe constraint applies%˜= desired value of the constraint= weight of the constraint (smaller % for higher weight)CONSTRAINTSThe next input data in FIT are the number of constraints, NC , and for each one of them the following parameters.IC=0 : The DTkT coefficients horizontal (vertical) beta values DPkP and horizontal (vertical) derivatives) are obtained by transport of their initial values at line start as introduced using for instance OBJET,(¹ É ) @KOBJ=5.1.7k7 >k> IC=0.1 : Twiss D "Dfunctions:D dispersion: D>kF O ) , DT$F ,identifying the first order transfer matrix to its Twiss form.7 F O7k77 > D> 7>k> Á –"D P F O ) "DDTkT P T PkP Á •, ; periodic, all quantities derived by assuming periodic structure and"DT P D"DIC=1, 2 : The coefficients 1 bhg andbhgkjare calculated following the procedures described in MATRIX, option IFOC = 0.The fitting of ?1 bhg Athe matrix coefficients or determinants supposes the tracking of particles having initial coordinatessampled as described in MATRIX (these particles are normally defined with OBJET, KOBJ = 5 or 6). The same is truefor the second order coefficients (Initial coordinates normally defined with OBJET, KOBJ = 6).bigkjï ¤ ïIMAX then the value of coordinate type{(q "for respectively O "=S"t r"=r"=¥I"q the constraint is the mean value of coordinate of type) of particle.ï ¤ ïIMAX ) is constrained. If ¤ IC=4 :The DPkP coefficients horizontal (vertical) derivatives) are derived from an ellipse match of the current particle population (as generated for instance using MCOB- wÉ ) @(¹JET, KOBJ=3).The fitting of ? D the7k7}TkT horizontal (vertical) beta values and Dbhg Acoefficients supposes the tracking of a relevant population of particles within an adequate emittance.>$> IC=5 : If ¤ then the constraint value is the ratio of particles still on the run. If ¤:Žqthe ratio of particles encompassed within a ¤ given (¤ -typethen the constraint value isqfor Œ"tr"@O respectively ) phase-space surface.w UOBJECT DEFINITIONDepending on the type of constraint (see Table), constraint calculations are performed either from transport coefficientcalculation and in such case need OBJET with either KOBJ = 5 or KOBJ = 6, or from particle distributions andin this case need object definition using for instance OBJET with KOBJ = 8, MCOBJET with either KOBJ = 3.
4.3 Declaration of options 49{ww{{qÉÉx––, DÏGGGñ7 > Db©©qb{Gq–––Type of constraintParameters defining the constraintsConstraintObject definition(recommended)’*“ ’ ”7k7, D> 7 > 7 ¹ D, etc.) OBJET, KOBJ=5, 6D -matrix 0 1 - 6 1 - 6 D –• (DPeriodic (Twiss) 0.1 1 - 6 1 - 6 DI–• (Dcoefficients 7 any Y-tune = G7$7&`– ¹– (*), etc.) OBJET, KOBJ=5, 6G 8 any Z-tune =9 any10 any& Q– – @• @ •–• 1 First order 1 1 - 6 1 - 6 Transport coeff. OBJET, KOBJ=5parameters 7 any Y-determinant8 any Z-determinantSecond order 2 1 - 6 11 - 66 Transport coeff.parametersš ?{ wd j dg? \OBJET, KOBJ=6\ A \ A " œ Trajectory 3 1 - IMAX 1 - 6coordinates1 - 61 - 6ïw @· &q}{
Page 1 and 2: CEA DSM DAPNIA-02-395 (2002)ZGOUBI
Page 3 and 4: Table of contentsPART A Description
Page 5: PART ADescription of software conte
Page 8 and 9: 8¤¥ PARTICUL Particle characteris
Page 10 and 11: 10ELECTROMAGNETIC ELEMENTSDecapoleD
Page 13 and 14: !!%" && 131 NUMERICAL CALCULATION
Page 15 and 16: 1.2 Integration of the Lorentz Equa
Page 17 and 18: 1.2 Integration of the Lorentz Equa
Page 19 and 20: 4Ž ^ ˜ ¡§ ^"- ^ ˜ ¡ ^¡wTGT
Page 21 and 22: in fourth order. The coefficients
Page 23 and 24: 4 ´ ´""4§> ´4 >4>1.4 Calculati
Page 25 and 26: A cylindrically symmetric field can
Page 27: Introducing also ¡The derivatives
Page 30 and 31: 30 3 SYNCHROTRON RADIATION¾ÍôVT
Page 32 and 33: 32 3 SYNCHROTRON RADIATIONÉ Éwher
Page 35 and 36: 354 DESCRIPTION OF THE AVAILABLE PR
Page 37 and 38: 4.2 Definition of an Object 37where
Page 39 and 40: 4.2 Definition of an Object 39\Pqî
Page 41 and 42: 4.2 Definition of an Object 41¹q
Page 43 and 44: 4.3 Declaration of options 43\P4.3
Page 45 and 46: 4.3 Declaration of options 45END or
Page 47: 4.3 Declaration of options 47· £
Page 51 and 52: 4.3 Declaration of options 51GASCAT
Page 53 and 54: 4.3 Declaration of options 53·{N$
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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