THE EGS5 CODE SYSTEM

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subroutinepairVersion051219-1435ipair = ipair +1eig = e(np)eig.le.2.1yes"Approximate:smoothingconnection at boundary"callrandomset(rnnow1)lvx = 1lvl0 = 0yeseig.lt.50.noese2 = RM + rnnow*(eig/2. - RM)nolvx = 2lvl0 = 3callrandomset(rnnow1)callrandomset(rnnow)"Uniform distribution""Rejection sampling loop""12(br-0.5)**2subdistribution"rnnow.ge.bpar(lvx,medium)yeslvl = lvl0 + 1callrandomset(rnnow2)callrandomset(rnnow3)nolvl = lvl0 + 3br = rnnow1*0.5br = 0.5*(1.0 - max(rnnow1,rnnow2,rnnow3))yeseig*br.lt.RMnodel = 1.0/(eig*br*(1.0 - br))yesdel.ge.delpos(lvx,medium)no1 2 3268
1 2 3delta = delcm(medium)*del"Rejection sampling loop"delta.lt.1.0yesnorejf = dl1(lvl,medium) +delta*(dl2(lvl,medium) +delta*dl3(lvl,medium))rejf = dl4(lvl,medium) +dl5(lvl,medium)*log(delta +dl6(lvl,medium))callrandomset(rnnow)yesrnnow.gt.rejfnoese2 = br*eig"Set up secondary electron #1(electron #2 has lower energy)""Sample to get polar anglesof secondary electrons""Sample lowest-orderangular distribution"ese1 = eig - ese2e(np) = ese1e(np+1) = ese2k1step(np) = 0.k1init(np) = 0.k1rsd(np) = 0.k1step(np+1) = 0.k1init(np+1) = 0.k1rsd(np+1) = 0.(iprdst.eq.1).or.((iprdst.eq.2).and.(eig.lt.4.14))ichrg=1ichrg=ichrg+1ichrg>2noyesichrg.eq.1yesese = ese1noese = ese2pse = sqrt(max(0.D0,(ese - RM)*(ese + RM)))callrandomset(rnnow)costhe = 1.0 - 2.0*rnnowsinthe = RM*sqrt((1.0 - costhe)*(1.0 + costhe))/(pse*costhe + ese)costhe = (ese*costhe + pse)/(pse*costhe + ese)4567269
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THE EGS5 CODE SYSTEM 1Hideo Hirayam
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4.1 UCCYL - Cylinder-Slab Geometry
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E CONTENTS OF THE EGS5 DISTRIBUTION
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2.17 Convergence of energy depositi
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List of Tables2.1 Symbols used in E
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C.2 Goudsmit-Saunderson-related sub
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With the release of the EGS4 versio
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“shower book”.For various reaso
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1.2.2 EGS1About this time Nelson be
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MSCAT.These versions of EGS, PEGS,
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ten for energies less than 100 MeV
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- Molière multiple scattering (i.e
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EGS5. The primary advantages of thi
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ICRU37-compliant using the NIST dat
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high Z materials. Del Guerra et al.
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One of these six cross sections is
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at low energies. The latter, couple
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If E 1 and E 2 are expressions invo
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The result of this algorithm is tha
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2.4 Particle Transport SimulationTh
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from appropriate distribution funct
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parameters which may be needed. The
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arrived at their values in a very m
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Math FORTRAN ProgramTable 2.1 (cont
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Figure 2.2: Feynman diagrams for br
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defined byδ ij = 1 if i = j,0 othe
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Davies, Bethe and Maximon[49] (e.g.
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cross section given in Equation 2.4
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and use this as the variable to be
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we haveNow defineδ ′ = ∆ C ∆
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This agrees with formula (10) of Bu
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That is, using Equations 2.122 and
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d˘Σ P air, Run−timedE=[23 − 1
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Angular distribution formulasThe fo
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at either x = 0, x = (πE 0 ) 2 (i.
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The following table, derived from t
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Figure 2.3: Feynman diagrams for tw
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whereX 0 = radiation length (cm),n
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whereα ′ 1 =α ′ 2 =k 0′k 0
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+ 1 E 2′ − 1 E 1′− C 2 ln E
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PEGS functions BHABDM, BHABRM, and
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To find the limits of E, we first c
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Figure 2.5: Feynman diagram for sin
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Ī adj = average adjusted mean ioni
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Table 2.2 (cont.)Z Symbol Atomic De
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Table 2.3 (cont.)LABEL a m s x 0 x
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(c) If 10.5 ≤ −C < 11.0 then x
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obtain the real scattering angle. E
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ρ = material mass density (g/cm 3
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Hence,so thatln [1.13 + 3.76(αZ i
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g 3 (θ) =θ4 ()λf (0) (θ) + f (1
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Actually, b = 0 does not correspond
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Assume that an electron starts off
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At small path lengths t, a very lar
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xFinalDirectionφΘ∆xtInitialDire
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shown that this version of the rand
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and as we noted earlier, they are d
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FinalDirectionxEnergy HingesφΘt(
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Transport Steps,∆ E = E x ESTEPEt
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tranport step 1DEINITIAL1 DERESID1t
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= ∆E( ∣ ∣∣∣ dE−1 ∣ )
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Since the CSDA range is uniquely de
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short steps accurate, but slowstep
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Table 2.4: Materials used in refere
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Average Lateral Displacement (cm)0.
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100 MeV Electrons0.010.001LiCLWAlST
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actions involving photons with ener
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Cu 40 keVCounts (/keV/sr/source)10
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Table 2.6: Data sources for general
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2.16.2 Photoelectron Angular Distri
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where r 0 is the classical electron
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second term on the right-hand side
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ZθkYOφe0Xk0Figure 2.23: Photon sc
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Note the similarities and differenc
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XZωk0Oe0YFigure 2.25: Direction of
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W = Atomic, molecular and mixture w
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In order to use EGS5 to answer the
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write(6,100)100 FORMAT(’ PEGS5-ca
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! plate is 1 mm thick!-------------
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implicit noneinclude ’include/egs
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0.989 MeV kinetic energyBrem photon
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! locally (in fact EDEP = particles
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inmax=max(binmax,ebin(j))end dowrit
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0.40 0.0058 *0.60 0.0054 *0.80 0.00
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!----------------------------------
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endifif(loop.lt.3) thenwrite(6,120)
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180 FORMAT(/’ Knock-on electrons
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common/score/escore(3), iscore(3)re
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Brem photons can be created and any
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in any combination of 31 well speci
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end doend do! nmed and dunit defaul
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! ------------------------------clo
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if (iarg.eq.17) then! A Compton sca
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! the general purpose geometry subr
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eturnend!--------------------------
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open(UNIT= 6,FILE=’egs5job.out’
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write(6,130)130 format(/’ Start t
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icol=* int(dlog10(ebin(j)*10000.0/f
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0.0300 0.0000*0.0320 0.0001*0.0340
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0.0780 0.0014 *0.0800 0.0012 *0.082
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The main purpose of this section, h
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4.1.3 Leading Particle BiasingThe s
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• Sum the weighted energy deposit
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4z6Vac115Pb65Air749 1012AirAir8Vac
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Figure 4.3: UCBEND simulation at 3.
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necessary geometry input. The follo
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Appendix AEGS5 FLOW DIAGRAMSHideo H
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subroutineannihVersion051219-1435ia
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¡eq1anormr = 1./sqrt(anorm2)sineta
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1br = max(br,0.D0)ekse2 = br*ekines
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12 3br = br*pesg = eie*bryesesg.lt.
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¤ne¤nesubroutinecollis(lelec,irl,
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¦ne¦necallausgab(iarg)6iq(np).eq.
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subroutinecomptVersion051219-1435ic
Page 233 and 234: 3456icprof(medium).eq.3noyescallran
Page 235 and 236: subroutinecounters_outVersion051227
Page 237 and 238: 1234567noii.ne.jjyesnoledgb(ii,medi
Page 239 and 240: ©ne1 2 3neispl = (2*neispl + 1)/3f
Page 241 and 242: subroutineelectr(ircode)ielectr = i
Page 243 and 244: 7 8 9 10 11 12 13detot = e(np)-ecut
Page 245 and 246: 2324 25 26 27 282930ustep.gt.dnear(
Page 247 and 248: 4142 43 44 45 4647 48 49ecut(irnew)
Page 249 and 250: 5859 60 61 6263 64tmscat.eq.0.0noye
Page 251 and 252: 73 7475 76noedep.lt.e(np)yescallran
Page 253 and 254: subroutinehardx(charge,kEnergy,keIn
Page 255 and 256: 1 2 3 4 5iz = izziz.eq.0noxsi = zer
Page 257 and 258: 13 14 15 16 17sint.ne.0.yesrdev = m
Page 259 and 260: 19im=1im=im+1im >nmednoyesnoiprofm(
Page 261 and 262: 2223write(kmpo,1610)read(kmpi,1260)
Page 263 and 264: 26 27 28iprofm(im).ne.1noyeswrite(6
Page 265 and 266: 30 31 32 33 34esig0(i,im) = esig0(i
Page 267 and 268: 36 37 38noiedgfl(ii).ne.0.or.iauger
Page 269 and 270: nokaug.eq.6calllshell(3)kaug.eq.7ka
Page 271 and 272: subroutinekxrayVersion051219-1435ik
Page 273 and 274: 123dfl3aug(5,iz).eq.0.nonauger = na
Page 275 and 276: 12 3 4rnnow.le.omegal2(iz) + f23(iz
Page 277 and 278: 1 2dflx3(6,iz).eq.0.nonxray=nxray+1
Page 279 and 280: 1impacr(ir(np)).eq.1.and.iedgfl(ir(
Page 281 and 282: 12fject = (ktot - k1grd(iprt,ik1))
Page 283: 56789thr = 1./eta"Central correctio
Page 287 and 288: 89101112galpha.ge.0.0yesnoximid = 0
Page 289 and 290: subroutinephotoVersion051219-1435"C
Page 291 and 292: 4 5 6 7 8rnnow.le.pbran(i)noyesiz =
Page 293 and 294: 121314beta = sqrt((eelec - RM)*(eel
Page 295 and 296: subroutinephotonVersion051219-1435i
Page 297 and 298: 678910idisc.gt.0yesnoedep = 0.iarg
Page 299 and 300: 1718192021iausfl(iarg+1)ne0nocallpa
Page 301 and 302: 2728iausfl(iarg+1)ne0noircode = 2np
Page 303 and 304: subroutinerk1Version060313-0945open
Page 305 and 306: 4 5 6j=1j=j+1j>neke-1noyesj.eq.1noj
Page 307 and 308: 18 19 20 21 22 23elkeold = elkek1ol
Page 309 and 310: 1 2"end of file; go to 13"read(17,*
Page 311 and 312: 4 5"go to 30"noabs(k1mine-k1grd(1,1
Page 313 and 314: 7 8read(17,'(72a1)') bufferread(17,
Page 315 and 316: subroutine shower(iqi,ei,xi,yi,zi,u
Page 317 and 318: subroutineuphi(ientry,lvl)Version05
Page 319 and 320: subroutinerandomset(rndum)Version05
Page 321 and 322: subroutinerluxinitVersion051219-143
Page 323 and 324: 1i=1i=i+1i>24noyesseeds(i) = real(i
Page 325 and 326: subroutinerluxinVersion051219-1435w
Page 327 and 328: Appendix BEGS5 USER MANUALHideo Hir
Page 329 and 330: Table B.1: Variable descriptions fo
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Table B.8: Variable descriptions fo
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Table B.12: Variable descriptions f
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Optional parameter modificationsThe
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the call to PEGS5 may be skipped if
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egions. Execution of EGS5 is termin
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of the transport in the walls of el
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call rluxinitafter specifying LUXLE
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END OF FILE ON UNIT 12PROGRAM STOPP
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do i=1,ncasesuf(1)=ufivf(1)=vfiwf(1
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crossed, then USTEP should be set t
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subroutine howfarimplicit noneinclu
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Table B.18: IARG values program sta
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As an example of how to write an AU
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!**********************************
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nreg=3do i=2,nregecut(i)=100.0pcut(
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nlines=0nwrite=15!-----------------
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if (nlines.lt.nwrite) thenwrite(6,1
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Appendix CPEGS USER MANUALHideo Hir
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is entered. On each pass through th
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(from previous figure)(to previous
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(from previous figure)||+ ---------
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+------+|BREMTR|+------+|V+------+|
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+------+|PAIRTR|+------+|V+------+|
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NameDCSLOADDCSSTORDCSTABELASTINOELI
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NameAFFACTAINTPALKEALKEIALINALINIAD
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Table C.5: Functions in PEGS, part
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+------+ +------+ +------+ +------+
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Table C.8: ELEM option input data l
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Table C.10: MIXT option input data
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Table C.12: PWLF option input data
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Table C.17: PLTN option input data
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ICPROF is set to 3, the user must c
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ColumnLine 123456789112345678921234
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interiors of the intervals. If FEXA
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C.3.6The TEST OptionThe TEST option
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C.3.9The HPLT OptionThe Histogram P
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Appendix DEGS5 INSTALLATION GUIDEHi
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egs5 directory (preferably using th
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6. The user is then asked to key-in
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* User code tutor1.f has been compi
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Appendix ECONTENTS OF THE EGS5DISTR
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All of the actual FORTRAN source co
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aprime.data Data for empirical brem
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ismuth krypton silverboron lanthanu
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The tutorial problems and advanced
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Bibliography[1] R. G. Alsmiller Jr.
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[28] A. F. Bielajew. HOWFAR and HOW
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[59] K. Flöttmann. Investigations
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[92] H. Kolbenstvedt. Simple theory
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[123] Y. Namito, H. Hirayama, A. Ta
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[156] Y. A. Shreider, editor. The M
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Index“shower book”, 37AE, 28, 3
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Klein-Nishina formula, 62Landau dis
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