THE EGS5 CODE SYSTEM

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subroutine aphi(br) Version 051219-1435 iaphi = iaphi +1 iarg=21 iausfl(iarg+1) ne 0 no yes call ausgab(iarg) pnorm0 = sqrt(u(np)*u(np) + v(np)*v(np) + w(np)*w(np)) u(np) = u(np)/pnorm0 v(np) = v(np)/pnorm0 w(np) = w(np)/pnorm0 valmax = br + 1./br call randomset(rnnow) "Rejection sampling loop" ph0 = rnnow*twopi sinph0 = sin(ph0) cph0 = pi5d2 - ph0 cosph0 = sin(cph0) valloc = sqrt(sinph0*sinph0 + cosph0*cosph0) sinph0 = sinph0/valloc cosph0 = cosph0/valloc val = (valmax - 2.*sinthe*sinthe*cosph0*cosph0)/valmax call randomset(rnnow) no rnnow le val yes anorm2 =costhe*costhe*cosph0*cosph0 + sinph0*sinph0 call randomset(rnnow) (valmax - 2.)/(valmax - 2. + 2.*anorm2) .gt. rnnow .or. ldpola = 1 anorm2 .lt. 1.E-10 yes no ldpola = 0 1 204
¡ eq 1 anormr = 1./sqrt(anorm2) sineta = -anormr*sinph0 coseta = anormr*costhe*cosph0 no ldpola ¡ 1 yes call randomset(rnnow) eta = rnnow*twopi sineta = sin(eta) ceta = pi5d2 - eta coseta = sin(ceta) ufa = costhe*cosph0*coseta - sinph0*sineta vfa = costhe*sinph0*coseta + cosph0*sineta wfa = -sinthe*coseta asav = u(np) bsav = v(np) csav = w(np) sinps2 = asav*asav + bsav*bsav sinps2 ¡ lt. 1.E-20 yes cosomg = uf(np) sinomg = vf(np) no sinpsi = sqrt(sinps2) sindel = bsav/sinpsi cosdel = asav/sinpsi cosomg = cosdel*csav*uf(np) + sindel*csav*vf(np) - sinpsi*wf(np) sinomg = -sindel*uf(np) + cosdel*vf(np) enorm = sqrt(uf(np)*uf(np) + vf(np)*vf(np) + wf(np)*wf(np)) enorm ¡ lt. 1.E-4 yes call randomset(rnnow) omg = rnnow*twopi sinomg = sin(omg) comg = pi5d2 - omg cosomg = sin(comg) no cosphi = cosomg*cosph0 - sinomg*sinph0 sinphi = sinomg*cosph0 + cosomg*sinph0 ufb = cosomg*ufa - sinomg*vfa vfb = sinomg*ufa + cosomg*vfa wfb = wfa no sinps2 ¡ lt. 1.E-20 yes uf(np) = ufb vf(np) = vfb wf(np) = wfb uf(np) = cosdel*csav*ufb - sindel*vfb + asav*wfb vf(np) = sindel*csav*ufb + cosdel*vfb + bsav*wfb wf(np) = -sinpsi*ufb + csav*wfb enorm = sqrt(uf(np)*uf(np) + vf(np)*vf(np) + wf(np)*wf(np)) uf(np) = uf(np)/enorm vf(np) = vf(np)/enorm wf(np) = wf(np)/enorm return (to photon) 205
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THE EGS5 CODE SYSTEM 1 Hideo Hiraya
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Contents 1 INTRODUCTION 1 1.1 Inten
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2.15.6 Electron Step-Size Selection
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B.4.9 Output of Results (Step 9) .
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List of Figures 2.1 Program flow an
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C.4 Subprogram relationships in PEG
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B.5 Variable descriptions for COMMO
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PREFACE In the nineteen years since
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Chapter 1 INTRODUCTION 1.1 Intent o
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“shower book”. For various reas
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1.2.2 EGS1 About this time Nelson b
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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 Simulation T
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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 Program Table 2.1 (con
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Figure 2.2: Feynman diagrams for br
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defined by δ ij = 1 if i = j, 0 ot
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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 have Now define δ ′ = ∆ 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−time dE = [ 2 3
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Angular distribution formulas The f
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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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where X 0 = radiation length (cm),
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where α ′ 1 = α ′ 2 = k 0 ′
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+ 1 E 2 ′ − 1 E 1 ′ − C 2 l
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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 D
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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 that ln [1.13 + 3.76(αZ
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g 3 (θ) = θ4 ( ) λf (0) (θ) + f
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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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x Final Direction φ Θ ∆x t Init
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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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Final Direction x Energy Hinges φ
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Transport Steps, ∆ E = E x ESTEPE
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tranport step 1 DEINITIAL1 DERESID1
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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 slow step
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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 Electrons 0.01 0.001 Li C L
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actions involving photons with ener
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Cu 40 keV Counts (/keV/sr/source) 1
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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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Z θ k Y O φ e 0 X k 0 Figure 2.23
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Note the similarities and differenc
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X Z ω k 0 O e 0 Y Figure 2.25: Dir
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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-c
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! plate is 1 mm thick !------------
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implicit none include ’include/eg
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0.989 MeV kinetic energy Brem photo
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! locally (in fact EDEP = particles
Page 169 and 170: inmax=max(binmax,ebin(j)) end do wr
Page 171 and 172: 0.40 0.0058 * 0.60 0.0054 * 0.80 0.
Page 173 and 174: !----------------------------------
Page 175 and 176: endif if(loop.lt.3) then write(6,12
Page 177 and 178: 180 FORMAT(/’ Knock-on electrons
Page 179 and 180: common/score/escore(3), iscore(3) r
Page 181 and 182: Brem photons can be created and any
Page 183 and 184: in any combination of 31 well speci
Page 185 and 186: end do end do ! nmed and dunit defa
Page 187 and 188: ! ------------------------------ cl
Page 189 and 190: if (iarg.eq.17) then ! A Compton sc
Page 191 and 192: ! the general purpose geometry subr
Page 193 and 194: eturn end !------------------------
Page 195 and 196: open(UNIT= 6,FILE=’egs5job.out’
Page 197 and 198: write(6,130) 130 format(/’ Start
Page 199 and 200: icol= * int(dlog10(ebin(j)*10000.0/
Page 201 and 202: 0.0300 0.0000* 0.0320 0.0001* 0.034
Page 203 and 204: 0.0780 0.0014 * 0.0800 0.0012 * 0.0
Page 205 and 206: The main purpose of this section, h
Page 207 and 208: 4.1.3 Leading Particle Biasing The
Page 209 and 210: • Sum the weighted energy deposit
Page 211 and 212: 4 z 6 Vac 11 5 Pb 6 5 Air 7 4 9 10
Page 213 and 214: Figure 4.3: UCBEND simulation at 3.
Page 215 and 216: necessary geometry input. The follo
Page 217 and 218: Appendix A EGS5 FLOW DIAGRAMS Hideo
Page 219: subroutine annih Version 051219-143
Page 223 and 224: 1 br = max(br,0.D0) ekse2 = br*ekin
Page 225 and 226: 1 2 3 br = br*p esg = eie*br yes es
Page 227 and 228: ¤ ne ¤ ne subroutine collis (lele
Page 229 and 230: ¦ ne ¦ ne call ausgab(iarg) 6 iq(
Page 231 and 232: subroutine compt Version 051219-143
Page 233 and 234: 3 4 5 6 icprof(medium) .eq. 3 no ye
Page 235 and 236: subroutine counters_out Version 051
Page 237 and 238: 1 2 3 4 5 6 7 no ii .ne. jj yes no
Page 239 and 240: © ne 1 2 3 neispl = (2*neispl + 1)
Page 241 and 242: subroutine electr(ircode) ielectr =
Page 243 and 244: 7 8 9 10 11 12 13 detot = e(np)-ecu
Page 245 and 246: 2324 25 26 27 28 29 30 ustep .gt. d
Page 247 and 248: 4142 43 44 45 46 47 48 49 ecut(irne
Page 249 and 250: 5859 60 61 62 63 64 tmscat .eq. 0.0
Page 251 and 252: 73 74 75 76 no edep .lt. e(np) yes
Page 253 and 254: subroutine hardx (charge,kEnergy,ke
Page 255 and 256: 1 2 3 4 5 iz = izz iz .eq. 0 no xsi
Page 257 and 258: 13 14 15 16 17 sint .ne. 0. yes rde
Page 259 and 260: 19 im=1 im=im+1 im >nmed no yes no
Page 261 and 262: 22 23 write(kmpo,1610) read(kmpi,12
Page 263 and 264: 26 27 28 iprofm(im) .ne. 1 no yes w
Page 265 and 266: 30 31 32 33 34 esig0(i,im) = esig0(
Page 267 and 268: 36 37 38 no iedgfl(ii).ne.0 .or. ia
Page 269 and 270: no kaug .eq. 6 call lshell(3) kaug.
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subroutine kxray Version 051219-143
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1 2 3 dfl3aug(5,iz) .eq. 0. no naug
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1 2 3 4 rnnow .le. omegal2(iz) + f2
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1 2 dflx3(6,iz) .eq. 0. no nxray=nx
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1 impacr(ir(np)).eq.1 .and. iedgfl(
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1 2 fject = (ktot - k1grd(iprt,ik1)
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5 6 7 8 9 thr = 1./eta "Central cor
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1 2 3 delta = delcm(medium)*del "Re
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8 9 10 11 12 galpha .ge. 0.0 yes no
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subroutine photo Version 051219-143
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4 5 6 7 8 rnnow .le. pbran(i) no ye
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12 13 14 beta = sqrt((eelec - RM)*(
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subroutine photon Version 051219-14
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6 7 8 9 10 idisc .gt. 0 yes no edep
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17 18 19 20 21 iausfl(iarg+1) ne 0
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27 28 iausfl(iarg+1) ne 0 no ircod
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subroutine rk1 Version 060313-0945
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4 5 6 j=1 j=j+1 j>neke-1 no yes j .
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18 19 20 21 22 23 elkeold = elke k1
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1 2 "end of file; go to 13" read(17
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4 5 "go to 30" no abs(k1mine-k1grd(
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7 8 read(17,'(72a1)') buffer read(1
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subroutine shower (iqi,ei,xi,yi,zi,
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subroutine uphi(ientry,lvl) Version
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subroutine randomset(rndum) Version
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subroutine rluxinit Version 051219-
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1 i=1 i=i+1 i>24 no yes seeds(i) =
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subroutine rluxin Version 051219-14
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Appendix B EGS5 USER MANUAL Hideo H
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Table B.1: Variable descriptions fo
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Table B.12: Variable descriptions f
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Optional parameter modifications Th
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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 rluxinit after specifying LUXL
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END OF FILE ON UNIT 12 PROGRAM STOP
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do i=1,ncases uf(1)=ufi vf(1)=vfi w
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crossed, then USTEP should be set t
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subroutine howfar implicit none inc
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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=3 do i=2,nreg ecut(i)=100.0 pc
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nlines=0 nwrite=15 !---------------
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if (nlines.lt.nwrite) then write(6,
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Appendix C PEGS USER MANUAL Hideo H
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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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Name DCSLOAD DCSSTOR DCSTAB ELASTIN
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Name AFFACT AINTP ALKE ALKEI ALIN A
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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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Column Line 12345678911234567892123
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interiors of the intervals. If FEXA
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C.3.6 The TEST Option The TEST opti
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C.3.9 The HPLT Option The Histogram
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Appendix D EGS5 INSTALLATION GUIDE
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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 E CONTENTS OF THE EGS5 DIS
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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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eryllium iron silicon bismuth krypt
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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”, 37 AE, 28,
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Klein-Nishina formula, 62 Landau di
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THE EGS5 CODE SYSTEM

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