ZGOUBI USERS' GUIDE - HEP

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134 4 DESCRIPTION OF THE AVAILABLE PROCEDURESU@YSYEXSYEYSYCE > 0XCE > 0XEYCS < 0XCS < 0ALE > 0YCE > 0XCE > 0YCS < 0XCS < 0ALE > 0XE, XSFigure 42: Left: moving an optical element using KPOSoptical element using KPOS .the incoming and outgoing reference frames.§ Š "k Š andq . Right: Mis-aligning an§ Œ "$ Œ are respectivelyYEY−shiftXEYSXSFigure 43: Half-deviation alignement of a Cartesian coordinate bending element, usingKPOS . § Š "k Š and § Œ "$ Œ are respectively the incoming andoutgoing reference frames.YEXEYSRMXSReferencetrajectoryAT/2AT/2OFigure 44: Positioning of a polar field map, using KPOS q .
4.6 Complementary Features 135¢ww@¢·€ï€¢§¢§Polar CoordinatesIf q KPOS , the element is positioned automatically in such a way that a particle entering with zero initial coordinates ¥ ¡., ¡ ! 1 !2and relative momentum will reach position ( , Z >) in the element with \angle withq Orespect to the moving frame in the polar coordinates system of the element (Fig. 44; see DIPOLE-M and POLARMES).If 1 KPOS the map is positioned in such a way that the incoming reference frame is presented at radius with angle". The exit reference frame of zgoubi is positioned in a similar way with respect to the map, by means of the twoparameters (radius) and (angle) (see Fig. 10A.).1|¢ · 14.6.6 Coded integration stepIn several optical elements (e.g., all multipoles, BEND) the integration step (in general noted XPAS) can be coded underthe form XPAS = b.fffE10 in order to allow two different step sizes in the uniform part of the field (the optical elementbody) and in the field fall-off regions. b is an arbitrary integer and fff is a 3-digit integer; they give the number of stepsrespectively in the body and fringe field regions. For instance 120.012E10 requests 120 steps in the body and 12 in thefringe field regions. The maximum allowed value for fff is 999 steps.4.6.7 Ray-tracing of an arbitrarily large number of particlesMonte Carlo multiparticle simulations involving an arbitrary number of particles can be performed by means of REBE-LOTE, put at the end of the optical structure, with its argument NPASS being the number of passes through REBELOTE,and (NPASS q ) * IMAX the number of particles to be ray-traced. In order that new initial conditions (O , , , , ¥ ,§ ) be generated at each pass, Ñ C\has to be specified in REBELOTE.Statistics on coordinates, spins, and other histograms can be performed by means of such procedures as HISTO, SPNTRK,etc. that stack the information from pass to pass.4.6.8 Stopped particles: the IEX flagAs described in OBJET, each particle ¤ Under certain circumstances, IEX may take negative values, as followsq , IMAX is attached a value ¤¤ of the IEX flag. Normally, ¤¤ q .: too many integration steps in an optical elementq : the trajectory happened to wander outside the limits of a field mapw @: deviation happened to exceed ©@ in an optical elementw U: stopped by walls (procedures CHAMBR, COLLIMA)w*R: too many iterations in subroutine DEPLAw N: energy loss exceeds particle energyw G: field discontinuities larger than 50% wthin a field map¦: reached field limit in an optical elementw ”Only in the ¤ § wq case will the integration not be stopped since in this case the field outside the map is extrapolatedfrom the map data, and the particle may possibly get back into the map (see section 1.4.2 on page 21). In all other casesthe particle of concern will be stopped.4.6.9 Negative rigidityzgoubi can handle negative rigidities ¡.,ï \), or counter going particles (\), or virtually reversed fields (w.r.t. the field sign that shows in the optical(element data list).Negative rigidities may be specified in terms of ! 1 ! ï\or O ¡-, ¡ ! 1 ! ï†\when defining the initial coordinateswith OBJET and MCOBJET.¡Ÿ . This is equivalent to considering either particles of negative charges
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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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4.3 Declaration of options 61P4©@4
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4.3 Declaration of options 63:£¨
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u2 >04.4 Optical Elements and relat
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4.4 Optical Elements and related nu
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Page 83 and 84: 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: 4.6 Complementary Features 133U@©@
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Page 146 and 147: 146 Keywords and input data formatt
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184 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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