Geant4 9.6.0
Toolkit for the simulation of the passage of particles through matter
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G4UrbanMscModel90.cc
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24// ********************************************************************
25//
26// $Id$
27//
28// -------------------------------------------------------------------
29//
30// GEANT4 Class file
31//
32//
33// File name: G4UrbanMscModel90
34//
35// Author: V.Ivanchenko clone Laszlo Urban model
36//
37// Creation date: 07.12.2007
38//
39// Modifications:
40//
41//
42
43// Class Description:
44//
45// Implementation of the model of multiple scattering based on
46// H.W.Lewis Phys Rev 78 (1950) 526 and others
47
48// -------------------------------------------------------------------
49//
50
51
52//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
53//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
54
55#include "G4UrbanMscModel90.hh"
56#include "G4PhysicalConstants.hh"
57#include "G4SystemOfUnits.hh"
58#include "Randomize.hh"
59#include "G4Electron.hh"
60
61#include "G4LossTableManager.hh"
62#include "G4ParticleChangeForMSC.hh"
63
64#include "G4Poisson.hh"
65
66//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
67
68using namespace std;
69
70G4UrbanMscModel90::G4UrbanMscModel90(const G4String& nam)
71 : G4VMscModel(nam)
72{
73 taubig = 8.0;
74 tausmall = 1.e-20;
75 taulim = 1.e-6;
76 currentTau = taulim;
77 tlimitminfix = 1.e-6*mm;
78 stepmin = tlimitminfix;
79 smallstep = 1.e10;
80 currentRange = 0. ;
81 frscaling2 = 0.25;
82 frscaling1 = 1.-frscaling2;
83 tlimit = 1.e10*mm;
84 tlimitmin = 10.*tlimitminfix;
85 nstepmax = 25.;
86 geombig = 1.e50*mm;
87 geommin = 1.e-3*mm;
88 geomlimit = geombig;
89 presafety = 0.*mm;
90 Zeff = 1.;
91 particle = 0;
92 theManager = G4LossTableManager::Instance();
93 firstStep = true;
94 inside = false;
95 insideskin = false;
96
97 skindepth = skin*stepmin;
98
99 mass = proton_mass_c2;
100 charge = 1.0;
101 currentKinEnergy = currentRange = currentRadLength = masslimite = masslimitmu
102 = lambda0 = lambdaeff = tPathLength = zPathLength = par1 = par2 = par3 = 0;
103
104 currentMaterialIndex = -1;
105 fParticleChange = 0;
106 couple = 0;
107 G4cout << "### G4UrbanMscModel90 is obsolete and will be removed for "
108 << "the next Geant4 version" << G4endl;
109}
110
111//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
112
113G4UrbanMscModel90::~G4UrbanMscModel90()
114{}
115
116//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
117
118void G4UrbanMscModel90::Initialise(const G4ParticleDefinition* p,
119 const G4DataVector&)
120{
121 skindepth = skin*stepmin;
122
123 // set values of some data members
124 SetParticle(p);
125
126 if(p->GetPDGMass() < MeV) {
127 G4cout << "### WARNING: G4UrbanMscModel90 model is used for "
128 << p->GetParticleName() << " !!! " << G4endl;
129 G4cout << "### This model should be used only for heavy particles"
130 << G4endl;
131 }
132
133
134 fParticleChange = GetParticleChangeForMSC(p);
135}
136
137//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
138
139G4double G4UrbanMscModel90::ComputeCrossSectionPerAtom(
140 const G4ParticleDefinition* part,
141 G4double KineticEnergy,
142 G4double AtomicNumber,G4double,
143 G4double, G4double)
144{
145 const G4double sigmafactor = twopi*classic_electr_radius*classic_electr_radius;
146 const G4double epsfactor = 2.*electron_mass_c2*electron_mass_c2*
147 Bohr_radius*Bohr_radius/(hbarc*hbarc);
148 const G4double epsmin = 1.e-4 , epsmax = 1.e10;
149
150 const G4double Zdat[15] = { 4., 6., 13., 20., 26., 29., 32., 38., 47.,
151 50., 56., 64., 74., 79., 82. };
152
153 const G4double Tdat[22] = { 100*eV, 200*eV, 400*eV, 700*eV,
154 1*keV, 2*keV, 4*keV, 7*keV,
155 10*keV, 20*keV, 40*keV, 70*keV,
156 100*keV, 200*keV, 400*keV, 700*keV,
157 1*MeV, 2*MeV, 4*MeV, 7*MeV,
158 10*MeV, 20*MeV};
159
160 // corr. factors for e-/e+ lambda for T <= Tlim
161 G4double celectron[15][22] =
162 {{1.125,1.072,1.051,1.047,1.047,1.050,1.052,1.054,
163 1.054,1.057,1.062,1.069,1.075,1.090,1.105,1.111,
164 1.112,1.108,1.100,1.093,1.089,1.087 },
165 {1.408,1.246,1.143,1.096,1.077,1.059,1.053,1.051,
166 1.052,1.053,1.058,1.065,1.072,1.087,1.101,1.108,
167 1.109,1.105,1.097,1.090,1.086,1.082 },
168 {2.833,2.268,1.861,1.612,1.486,1.309,1.204,1.156,
169 1.136,1.114,1.106,1.106,1.109,1.119,1.129,1.132,
170 1.131,1.124,1.113,1.104,1.099,1.098 },
171 {3.879,3.016,2.380,2.007,1.818,1.535,1.340,1.236,
172 1.190,1.133,1.107,1.099,1.098,1.103,1.110,1.113,
173 1.112,1.105,1.096,1.089,1.085,1.098 },
174 {6.937,4.330,2.886,2.256,1.987,1.628,1.395,1.265,
175 1.203,1.122,1.080,1.065,1.061,1.063,1.070,1.073,
176 1.073,1.070,1.064,1.059,1.056,1.056 },
177 {9.616,5.708,3.424,2.551,2.204,1.762,1.485,1.330,
178 1.256,1.155,1.099,1.077,1.070,1.068,1.072,1.074,
179 1.074,1.070,1.063,1.059,1.056,1.052 },
180 {11.72,6.364,3.811,2.806,2.401,1.884,1.564,1.386,
181 1.300,1.180,1.112,1.082,1.073,1.066,1.068,1.069,
182 1.068,1.064,1.059,1.054,1.051,1.050 },
183 {18.08,8.601,4.569,3.183,2.662,2.025,1.646,1.439,
184 1.339,1.195,1.108,1.068,1.053,1.040,1.039,1.039,
185 1.039,1.037,1.034,1.031,1.030,1.036 },
186 {18.22,10.48,5.333,3.713,3.115,2.367,1.898,1.631,
187 1.498,1.301,1.171,1.105,1.077,1.048,1.036,1.033,
188 1.031,1.028,1.024,1.022,1.021,1.024 },
189 {14.14,10.65,5.710,3.929,3.266,2.453,1.951,1.669,
190 1.528,1.319,1.178,1.106,1.075,1.040,1.027,1.022,
191 1.020,1.017,1.015,1.013,1.013,1.020 },
192 {14.11,11.73,6.312,4.240,3.478,2.566,2.022,1.720,
193 1.569,1.342,1.186,1.102,1.065,1.022,1.003,0.997,
194 0.995,0.993,0.993,0.993,0.993,1.011 },
195 {22.76,20.01,8.835,5.287,4.144,2.901,2.219,1.855,
196 1.677,1.410,1.224,1.121,1.073,1.014,0.986,0.976,
197 0.974,0.972,0.973,0.974,0.975,0.987 },
198 {50.77,40.85,14.13,7.184,5.284,3.435,2.520,2.059,
199 1.837,1.512,1.283,1.153,1.091,1.010,0.969,0.954,
200 0.950,0.947,0.949,0.952,0.954,0.963 },
201 {65.87,59.06,15.87,7.570,5.567,3.650,2.682,2.182,
202 1.939,1.579,1.325,1.178,1.108,1.014,0.965,0.947,
203 0.941,0.938,0.940,0.944,0.946,0.954 },
204 {55.60,47.34,15.92,7.810,5.755,3.767,2.760,2.239,
205 1.985,1.609,1.343,1.188,1.113,1.013,0.960,0.939,
206 0.933,0.930,0.933,0.936,0.939,0.949 }};
207
208 G4double cpositron[15][22] = {
209 {2.589,2.044,1.658,1.446,1.347,1.217,1.144,1.110,
210 1.097,1.083,1.080,1.086,1.092,1.108,1.123,1.131,
211 1.131,1.126,1.117,1.108,1.103,1.100 },
212 {3.904,2.794,2.079,1.710,1.543,1.325,1.202,1.145,
213 1.122,1.096,1.089,1.092,1.098,1.114,1.130,1.137,
214 1.138,1.132,1.122,1.113,1.108,1.102 },
215 {7.970,6.080,4.442,3.398,2.872,2.127,1.672,1.451,
216 1.357,1.246,1.194,1.179,1.178,1.188,1.201,1.205,
217 1.203,1.190,1.173,1.159,1.151,1.145 },
218 {9.714,7.607,5.747,4.493,3.815,2.777,2.079,1.715,
219 1.553,1.353,1.253,1.219,1.211,1.214,1.225,1.228,
220 1.225,1.210,1.191,1.175,1.166,1.174 },
221 {17.97,12.95,8.628,6.065,4.849,3.222,2.275,1.820,
222 1.624,1.382,1.259,1.214,1.202,1.202,1.214,1.219,
223 1.217,1.203,1.184,1.169,1.160,1.151 },
224 {24.83,17.06,10.84,7.355,5.767,3.707,2.546,1.996,
225 1.759,1.465,1.311,1.252,1.234,1.228,1.238,1.241,
226 1.237,1.222,1.201,1.184,1.174,1.159 },
227 {23.26,17.15,11.52,8.049,6.375,4.114,2.792,2.155,
228 1.880,1.535,1.353,1.281,1.258,1.247,1.254,1.256,
229 1.252,1.234,1.212,1.194,1.183,1.170 },
230 {22.33,18.01,12.86,9.212,7.336,4.702,3.117,2.348,
231 2.015,1.602,1.385,1.297,1.268,1.251,1.256,1.258,
232 1.254,1.237,1.214,1.195,1.185,1.179 },
233 {33.91,24.13,15.71,10.80,8.507,5.467,3.692,2.808,
234 2.407,1.873,1.564,1.425,1.374,1.330,1.324,1.320,
235 1.312,1.288,1.258,1.235,1.221,1.205 },
236 {32.14,24.11,16.30,11.40,9.015,5.782,3.868,2.917,
237 2.490,1.925,1.596,1.447,1.391,1.342,1.332,1.327,
238 1.320,1.294,1.264,1.240,1.226,1.214 },
239 {29.51,24.07,17.19,12.28,9.766,6.238,4.112,3.066,
240 2.602,1.995,1.641,1.477,1.414,1.356,1.342,1.336,
241 1.328,1.302,1.270,1.245,1.231,1.233 },
242 {38.19,30.85,21.76,15.35,12.07,7.521,4.812,3.498,
243 2.926,2.188,1.763,1.563,1.484,1.405,1.382,1.371,
244 1.361,1.330,1.294,1.267,1.251,1.239 },
245 {49.71,39.80,27.96,19.63,15.36,9.407,5.863,4.155,
246 3.417,2.478,1.944,1.692,1.589,1.480,1.441,1.423,
247 1.409,1.372,1.330,1.298,1.280,1.258 },
248 {59.25,45.08,30.36,20.83,16.15,9.834,6.166,4.407,
249 3.641,2.648,2.064,1.779,1.661,1.531,1.482,1.459,
250 1.442,1.400,1.354,1.319,1.299,1.272 },
251 {56.38,44.29,30.50,21.18,16.51,10.11,6.354,4.542,
252 3.752,2.724,2.116,1.817,1.692,1.554,1.499,1.474,
253 1.456,1.412,1.364,1.328,1.307,1.282 }};
254
255 //data/corrections for T > Tlim
256 G4double Tlim = 10.*MeV;
257 G4double beta2lim = Tlim*(Tlim+2.*electron_mass_c2)/
258 ((Tlim+electron_mass_c2)*(Tlim+electron_mass_c2));
259 G4double bg2lim = Tlim*(Tlim+2.*electron_mass_c2)/
260 (electron_mass_c2*electron_mass_c2);
261
262 G4double sig0[15] = {0.2672*barn, 0.5922*barn, 2.653*barn, 6.235*barn,
263 11.69*barn , 13.24*barn , 16.12*barn, 23.00*barn ,
264 35.13*barn , 39.95*barn , 50.85*barn, 67.19*barn ,
265 91.15*barn , 104.4*barn , 113.1*barn};
266
267 G4double hecorr[15] = {120.70, 117.50, 105.00, 92.92, 79.23, 74.510, 68.29,
268 57.39, 41.97, 36.14, 24.53, 10.21, -7.855, -16.84,
269 -22.30};
270
271 G4double sigma;
272 SetParticle(part);
273
274 G4double Z23 = 2.*log(AtomicNumber)/3.; Z23 = exp(Z23);
275
276 // correction if particle .ne. e-/e+
277 // compute equivalent kinetic energy
278 // lambda depends on p*beta ....
279
280 G4double eKineticEnergy = KineticEnergy;
281
282 if(mass > electron_mass_c2)
283 {
284 G4double TAU = KineticEnergy/mass ;
285 G4double c = mass*TAU*(TAU+2.)/(electron_mass_c2*(TAU+1.)) ;
286 G4double w = c-2. ;
287 G4double tau = 0.5*(w+sqrt(w*w+4.*c)) ;
288 eKineticEnergy = electron_mass_c2*tau ;
289 }
290
291 G4double ChargeSquare = charge*charge;
292
293 G4double eTotalEnergy = eKineticEnergy + electron_mass_c2 ;
294 G4double beta2 = eKineticEnergy*(eTotalEnergy+electron_mass_c2)
295 /(eTotalEnergy*eTotalEnergy);
296 G4double bg2 = eKineticEnergy*(eTotalEnergy+electron_mass_c2)
297 /(electron_mass_c2*electron_mass_c2);
298
299 G4double eps = epsfactor*bg2/Z23;
300
301 if (eps<epsmin) sigma = 2.*eps*eps;
302 else if(eps<epsmax) sigma = log(1.+2.*eps)-2.*eps/(1.+2.*eps);
303 else sigma = log(2.*eps)-1.+1./eps;
304
305 sigma *= ChargeSquare*AtomicNumber*AtomicNumber/(beta2*bg2);
306
307 // interpolate in AtomicNumber and beta2
308 G4double c1,c2,cc1,cc2,corr;
309
310 // get bin number in Z
311 G4int iZ = 14;
312 while ((iZ>=0)&&(Zdat[iZ]>=AtomicNumber)) iZ -= 1;
313 if (iZ==14) iZ = 13;
314 if (iZ==-1) iZ = 0 ;
315
316 G4double Z1 = Zdat[iZ];
317 G4double Z2 = Zdat[iZ+1];
318 G4double ratZ = (AtomicNumber-Z1)*(AtomicNumber+Z1)/
319 ((Z2-Z1)*(Z2+Z1));
320
321 if(eKineticEnergy <= Tlim)
322 {
323 // get bin number in T (beta2)
324 G4int iT = 21;
325 while ((iT>=0)&&(Tdat[iT]>=eKineticEnergy)) iT -= 1;
326 if(iT==21) iT = 20;
327 if(iT==-1) iT = 0 ;
328
329 // calculate betasquare values
330 G4double T = Tdat[iT], E = T + electron_mass_c2;
331 G4double b2small = T*(E+electron_mass_c2)/(E*E);
332
333 T = Tdat[iT+1]; E = T + electron_mass_c2;
334 G4double b2big = T*(E+electron_mass_c2)/(E*E);
335 G4double ratb2 = (beta2-b2small)/(b2big-b2small);
336
337 if (charge < 0.)
338 {
339 c1 = celectron[iZ][iT];
340 c2 = celectron[iZ+1][iT];
341 cc1 = c1+ratZ*(c2-c1);
342
343 c1 = celectron[iZ][iT+1];
344 c2 = celectron[iZ+1][iT+1];
345 cc2 = c1+ratZ*(c2-c1);
346
347 corr = cc1+ratb2*(cc2-cc1);
348
349 sigma *= sigmafactor/corr;
350 }
351 else
352 {
353 c1 = cpositron[iZ][iT];
354 c2 = cpositron[iZ+1][iT];
355 cc1 = c1+ratZ*(c2-c1);
356
357 c1 = cpositron[iZ][iT+1];
358 c2 = cpositron[iZ+1][iT+1];
359 cc2 = c1+ratZ*(c2-c1);
360
361 corr = cc1+ratb2*(cc2-cc1);
362
363 sigma *= sigmafactor/corr;
364 }
365 }
366 else
367 {
368 c1 = bg2lim*sig0[iZ]*(1.+hecorr[iZ]*(beta2-beta2lim))/bg2;
369 c2 = bg2lim*sig0[iZ+1]*(1.+hecorr[iZ+1]*(beta2-beta2lim))/bg2;
370 if((AtomicNumber >= Z1) && (AtomicNumber <= Z2))
371 sigma = c1+ratZ*(c2-c1) ;
372 else if(AtomicNumber < Z1)
373 sigma = AtomicNumber*AtomicNumber*c1/(Z1*Z1);
374 else if(AtomicNumber > Z2)
375 sigma = AtomicNumber*AtomicNumber*c2/(Z2*Z2);
376 }
377 return sigma;
378
379}
380
381//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
382
383void G4UrbanMscModel90::StartTracking(G4Track* track)
384{
385 SetParticle(track->GetDynamicParticle()->GetDefinition());
386 firstStep = true;
387 inside = false;
388 insideskin = false;
389 tlimit = geombig;
390}
391
392//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
393
394G4double G4UrbanMscModel90::ComputeTruePathLengthLimit(
395 const G4Track& track,
396 G4double& currentMinimalStep)
397{
398 tPathLength = currentMinimalStep;
399 const G4DynamicParticle* dp = track.GetDynamicParticle();
400 G4StepPoint* sp = track.GetStep()->GetPreStepPoint();
401 G4StepStatus stepStatus = sp->GetStepStatus();
402 couple = track.GetMaterialCutsCouple();
403 SetCurrentCouple(couple);
404 currentMaterialIndex = couple->GetIndex();
405 currentKinEnergy = dp->GetKineticEnergy();
406 currentRange = GetRange(particle,currentKinEnergy,couple);
407 lambda0 = GetTransportMeanFreePath(particle,currentKinEnergy);
408
409 // stop here if small range particle
410 if(inside || tPathLength < tlimitminfix) {
411 return ConvertTrueToGeom(tPathLength, currentMinimalStep);
412 }
413
414 if(tPathLength > currentRange) { tPathLength = currentRange; }
415
416 presafety = sp->GetSafety();
417 /*
418 G4cout << "G4UrbanMscModel90::ComputeTruePathLengthLimit tPathLength= "
419 <<tPathLength<<" safety= " << presafety
420 << " range= " <<currentRange<<G4endl;
421 */
422 // far from geometry boundary
423 if(currentRange < presafety)
424 {
425 inside = true;
426 return ConvertTrueToGeom(tPathLength, currentMinimalStep);
427 }
428
429 // standard version
430 //
431 if (steppingAlgorithm == fUseDistanceToBoundary)
432 {
433 //compute geomlimit and presafety
434 geomlimit = ComputeGeomLimit(track, presafety, currentRange);
435
436 // is far from boundary
437 if(currentRange <= presafety)
438 {
439 inside = true;
440 return ConvertTrueToGeom(tPathLength, currentMinimalStep);
441 }
442
443 smallstep += 1.;
444 insideskin = false;
445
446 if(firstStep || stepStatus == fGeomBoundary)
447 {
448
449 if(firstStep) smallstep = 1.e10;
450 else smallstep = 1.;
451
452 // facrange scaling in lambda
453 // not so strong step restriction above lambdalimit
454 G4double facr = facrange;
455 if(lambda0 > lambdalimit)
456 facr *= frscaling1+frscaling2*lambda0/lambdalimit;
457
458 // constraint from the physics
459 if (currentRange > lambda0) tlimit = facr*currentRange;
460 else tlimit = facr*lambda0;
461
462 // constraint from the geometry (if tlimit above is too big)
463 G4double tgeom = geombig;
464 if(geomlimit > geommin)
465 {
466 if(stepStatus == fGeomBoundary)
467 tgeom = geomlimit/facgeom;
468 else
469 tgeom = 2.*geomlimit/facgeom;
470 }
471
472 //define stepmin here (it depends on lambda!)
473 //rough estimation of lambda_elastic/lambda_transport
474 G4double rat = currentKinEnergy/MeV ;
475 rat = 1.e-3/(rat*(10.+rat)) ;
476 //stepmin ~ lambda_elastic
477 stepmin = rat*lambda0;
478 skindepth = skin*stepmin;
479
480 //define tlimitmin
481 tlimitmin = lambda0/nstepmax;
482 if(tlimitmin < stepmin) tlimitmin = 1.01*stepmin;
483 if(tlimitmin < tlimitminfix) tlimitmin = tlimitminfix;
484
485 //lower limit for tlimit
486 if(tlimit < tlimitmin) tlimit = tlimitmin;
487
488 //check against geometry limit
489 if(tlimit > tgeom) tlimit = tgeom;
490 }
491
492 //if track starts far from boundaries increase tlimit!
493 if(tlimit < facsafety*presafety) tlimit = facsafety*presafety ;
494
495 // G4cout << "tgeom= " << tgeom << " geomlimit= " << geomlimit
496 // << " tlimit= " << tlimit << " presafety= " << presafety << G4endl;
497
498 // shortcut
499 if((tPathLength < tlimit) && (tPathLength < presafety))
500 return ConvertTrueToGeom(tPathLength, currentMinimalStep);
501
502 G4double tnow = tlimit;
503 // optimization ...
504 if(geomlimit < geombig) tnow = max(tlimit,facsafety*geomlimit);
505
506 // step reduction near to boundary
507 if(smallstep < skin)
508 {
509 tnow = stepmin;
510 insideskin = true;
511 }
512 else if(geomlimit < geombig)
513 {
514 if(geomlimit > skindepth)
515 {
516 if(tnow > geomlimit-0.999*skindepth)
517 tnow = geomlimit-0.999*skindepth;
518 }
519 else
520 {
521 insideskin = true;
522 if(tnow > stepmin) tnow = stepmin;
523 }
524 }
525
526 if(tnow < stepmin) tnow = stepmin;
527
528 if(tPathLength > tnow) tPathLength = tnow ;
529 }
530 // for 'normal' simulation with or without magnetic field
531 // there no small step/single scattering at boundaries
532 else if(steppingAlgorithm == fUseSafety)
533 {
534 // compute presafety again if presafety <= 0 and no boundary
535 // i.e. when it is needed for optimization purposes
536 if((stepStatus != fGeomBoundary) && (presafety < tlimitminfix))
537 presafety = ComputeSafety(sp->GetPosition(),tPathLength);
538
539 // is far from boundary
540 if(currentRange < presafety)
541 {
542 inside = true;
543 return ConvertTrueToGeom(tPathLength, currentMinimalStep);
544 }
545
546 if(firstStep || stepStatus == fGeomBoundary)
547 {
548 // facrange scaling in lambda
549 // not so strong step restriction above lambdalimit
550 G4double facr = facrange;
551 if(lambda0 > lambdalimit)
552 facr *= frscaling1+frscaling2*lambda0/lambdalimit;
553
554 // constraint from the physics
555 if (currentRange > lambda0) tlimit = facr*currentRange;
556 else tlimit = facr*lambda0;
557
558 //lower limit for tlimit
559 tlimitmin = std::max(tlimitminfix,lambda0/nstepmax);
560 if(tlimit < tlimitmin) tlimit = tlimitmin;
561 }
562
563 //if track starts far from boundaries increase tlimit!
564 if(tlimit < facsafety*presafety) tlimit = facsafety*presafety ;
565
566 if(tPathLength > tlimit) tPathLength = tlimit;
567 }
568
569 // version similar to 7.1 (needed for some experiments)
570 else
571 {
572 if (stepStatus == fGeomBoundary)
573 {
574 if (currentRange > lambda0) tlimit = facrange*currentRange;
575 else tlimit = facrange*lambda0;
576
577 if(tlimit < tlimitmin) tlimit = tlimitmin;
578 if(tPathLength > tlimit) tPathLength = tlimit;
579 }
580 }
581 // G4cout << "tPathLength= " << tPathLength << " geomlimit= " << geomlimit
582 // << " currentMinimalStep= " << currentMinimalStep << G4endl;
583 return ConvertTrueToGeom(tPathLength, currentMinimalStep);
584}
585
586//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
587
588G4double G4UrbanMscModel90::ComputeGeomPathLength(G4double)
589{
590 firstStep = false;
591 lambdaeff = lambda0;
592 par1 = -1. ;
593 par2 = par3 = 0. ;
594
595 // do the true -> geom transformation
596 zPathLength = tPathLength;
597
598 // z = t for very small tPathLength
599 if(tPathLength < tlimitminfix) return zPathLength;
600
601 // this correction needed to run MSC with eIoni and eBrem inactivated
602 // and makes no harm for a normal run
603 if(tPathLength > currentRange)
604 tPathLength = currentRange ;
605
606 G4double tau = tPathLength/lambda0 ;
607
608 if ((tau <= tausmall) || insideskin) {
609 zPathLength = tPathLength;
610 if(zPathLength > lambda0) zPathLength = lambda0;
611 return zPathLength;
612 }
613
614 G4double zmean = tPathLength;
615 if (tPathLength < currentRange*dtrl) {
616 if(tau < taulim) zmean = tPathLength*(1.-0.5*tau) ;
617 else zmean = lambda0*(1.-exp(-tau));
618 } else if(currentKinEnergy < mass || tPathLength == currentRange) {
619 par1 = 1./currentRange ;
620 par2 = 1./(par1*lambda0) ;
621 par3 = 1.+par2 ;
622 if(tPathLength < currentRange)
623 zmean = (1.-exp(par3*log(1.-tPathLength/currentRange)))/(par1*par3) ;
624 else
625 zmean = 1./(par1*par3) ;
626 } else {
627 G4double T1 = GetEnergy(particle,currentRange-tPathLength,couple);
628 G4double lambda1 = GetTransportMeanFreePath(particle,T1);
629
630 par1 = (lambda0-lambda1)/(lambda0*tPathLength) ;
631 par2 = 1./(par1*lambda0) ;
632 par3 = 1.+par2 ;
633 zmean = (1.-exp(par3*log(lambda1/lambda0)))/(par1*par3) ;
634 }
635
636 zPathLength = zmean ;
637
638 // sample z
639 if(samplez)
640 {
641 const G4double ztmax = 0.99, onethird = 1./3. ;
642 G4double zt = zmean/tPathLength ;
643
644 if (tPathLength > stepmin && zt < ztmax)
645 {
646 G4double u,cz1;
647 if(zt >= onethird)
648 {
649 G4double cz = 0.5*(3.*zt-1.)/(1.-zt) ;
650 cz1 = 1.+cz ;
651 G4double u0 = cz/cz1 ;
652 G4double grej ;
653 do {
654 u = exp(log(G4UniformRand())/cz1) ;
655 grej = exp(cz*log(u/u0))*(1.-u)/(1.-u0) ;
656 } while (grej < G4UniformRand()) ;
657 }
658 else
659 {
660 cz1 = 1./zt-1.;
661 u = 1.-exp(log(G4UniformRand())/cz1) ;
662 }
663 zPathLength = tPathLength*u ;
664 }
665 }
666
667 if(zPathLength > lambda0) zPathLength = lambda0;
668
669 return zPathLength;
670}
671
672//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
673
674G4double G4UrbanMscModel90::ComputeTrueStepLength(G4double geomStepLength)
675{
676 // step defined other than transportation
677 if(geomStepLength == zPathLength && tPathLength <= currentRange)
678 { return tPathLength; }
679
680 // t = z for very small step
681 zPathLength = geomStepLength;
682 tPathLength = geomStepLength;
683 if(geomStepLength < tlimitminfix) return tPathLength;
684
685 // recalculation
686 if((geomStepLength > lambda0*tausmall) && !insideskin)
687 {
688 if(par1 < 0.)
689 tPathLength = -lambda0*log(1.-geomStepLength/lambda0) ;
690 else
691 {
692 if(par1*par3*geomStepLength < 1.)
693 tPathLength = (1.-exp(log(1.-par1*par3*geomStepLength)/par3))/par1 ;
694 else
695 tPathLength = currentRange;
696 }
697 }
698 if(tPathLength < geomStepLength) tPathLength = geomStepLength;
699
700 return tPathLength;
701}
702
703//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
704
705G4double G4UrbanMscModel90::ComputeTheta0(G4double trueStepLength,
706 G4double KineticEnergy)
707{
708 // for all particles take the width of the central part
709 // from a parametrization similar to the Highland formula
710 // ( Highland formula: Particle Physics Booklet, July 2002, eq. 26.10)
711 const G4double c_highland = 13.6*MeV ;
712 G4double betacp = sqrt(currentKinEnergy*(currentKinEnergy+2.*mass)*
713 KineticEnergy*(KineticEnergy+2.*mass)/
714 ((currentKinEnergy+mass)*(KineticEnergy+mass)));
715 G4double y = trueStepLength/currentRadLength;
716 G4double theta0 = c_highland*std::abs(charge)*sqrt(y)/betacp;
717 y = log(y);
718 theta0 *= sqrt(1.+y*(0.105+0.0035*y));
719
720 //correction for small Zeff (based on high energy
721 // proton scattering data)
722 // see G.Shen at al. Phys.Rev.D20(1979) p.1584
723 theta0 *= 1.-0.24/(Zeff*(Zeff+1.));
724
725 return theta0;
726
727}
728
729//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
730
731G4ThreeVector&
732G4UrbanMscModel90::SampleScattering(const G4DynamicParticle* dynParticle,
733 G4double safety)
734{
735 fDisplacement.set(0.0,0.0,0.0);
736 G4double kineticEnergy = currentKinEnergy;
737 if (tPathLength > currentRange*dtrl) {
738 kineticEnergy = GetEnergy(particle,currentRange-tPathLength,couple);
739 } else {
740 kineticEnergy -= tPathLength*GetDEDX(particle,currentKinEnergy,couple);
741 }
742 if((kineticEnergy <= eV) || (tPathLength <= tlimitminfix) ||
743 (tPathLength/tausmall < lambda0) ) { return fDisplacement; }
744
745 G4double cth = SampleCosineTheta(tPathLength,kineticEnergy);
746 // protection against 'bad' cth values
747 if(std::fabs(cth) > 1.) { return fDisplacement; }
748
749 const G4double checkEnergy = GeV;
750 if(kineticEnergy > checkEnergy && cth < 0.0
751 && tPathLength < taulim*lambda0) {
752 G4ExceptionDescription ed;
753 ed << dynParticle->GetDefinition()->GetParticleName()
754 << " E(MeV)= " << kineticEnergy/MeV
755 << " Step(mm)= " << tPathLength/mm
756 << " in " << CurrentCouple()->GetMaterial()->GetName()
757 << " CosTheta= " << cth
758 << " is too big - the angle is set to zero" << G4endl;
759 G4Exception("G4UrbanMscModel90::SampleScattering","em0004",JustWarning,
760 ed,"");
761 return fDisplacement;
762 }
763
764 G4double sth = sqrt((1.0 - cth)*(1.0 + cth));
765 G4double phi = twopi*G4UniformRand();
766 G4double dirx = sth*cos(phi);
767 G4double diry = sth*sin(phi);
768
769 G4ThreeVector oldDirection = dynParticle->GetMomentumDirection();
770 G4ThreeVector newDirection(dirx,diry,cth);
771 newDirection.rotateUz(oldDirection);
772 fParticleChange->ProposeMomentumDirection(newDirection);
773
774 if (latDisplasment && safety > tlimitminfix) {
775
776 G4double r = SampleDisplacement();
777/*
778 G4cout << "G4UrbanMscModel90::SampleSecondaries: e(MeV)= " << kineticEnergy
779 << " sinTheta= " << sth << " r(mm)= " << r
780 << " trueStep(mm)= " << truestep
781 << " geomStep(mm)= " << zPathLength
782 << G4endl;
783*/
784 if(r > 0.)
785 {
786 G4double latcorr = LatCorrelation();
787 if(latcorr > r) latcorr = r;
788
789 // sample direction of lateral displacement
790 // compute it from the lateral correlation
791 G4double Phi = 0.;
792 if(std::abs(r*sth) < latcorr) {
793 Phi = twopi*G4UniformRand();
794 } else {
795 G4double psi = std::acos(latcorr/(r*sth));
796 if(G4UniformRand() < 0.5) Phi = phi+psi;
797 else Phi = phi-psi;
798 }
799
800 dirx = std::cos(Phi);
801 diry = std::sin(Phi);
802
803 fDisplacement.set(r*dirx,r*diry,0.0);
804 fDisplacement.rotateUz(oldDirection);
805 }
806 }
807 return fDisplacement;
808}
809
810//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
811
812G4double G4UrbanMscModel90::SampleCosineTheta(G4double trueStepLength,
813 G4double KineticEnergy)
814{
815 G4double cth = 1. ;
816 G4double tau = trueStepLength/lambda0 ;
817
818 Zeff = couple->GetMaterial()->GetTotNbOfElectPerVolume()/
819 couple->GetMaterial()->GetTotNbOfAtomsPerVolume() ;
820
821 if(insideskin)
822 {
823 //no scattering, single or plural scattering
824 G4double mean = trueStepLength/stepmin ;
825
826 G4int n = G4Poisson(mean);
827 if(n > 0)
828 {
829 G4double tm = KineticEnergy/electron_mass_c2;
830 // ascr - screening parameter
831 G4double ascr = exp(log(Zeff)/3.)/(137.*sqrt(tm*(tm+2.)));
832 G4double ascr1 = 1.+0.5*ascr*ascr;
833 G4double bp1=ascr1+1.;
834 G4double bm1=ascr1-1.;
835 // single scattering from screened Rutherford x-section
836 G4double ct,st,phi;
837 G4double sx=0.,sy=0.,sz=0.;
838 for(G4int i=1; i<=n; i++)
839 {
840 ct = ascr1-bp1*bm1/(2.*G4UniformRand()+bm1);
841 if(ct < -1.) ct = -1.;
842 if(ct > 1.) ct = 1.;
843 st = sqrt(1.-ct*ct);
844 phi = twopi*G4UniformRand();
845 sx += st*cos(phi);
846 sy += st*sin(phi);
847 sz += ct;
848 }
849 cth = sz/sqrt(sx*sx+sy*sy+sz*sz);
850 }
851 }
852 else
853 {
854 if(trueStepLength >= currentRange*dtrl) {
855 if(par1*trueStepLength < 1.)
856 tau = -par2*log(1.-par1*trueStepLength) ;
857 // for the case if ioni/brems are inactivated
858 // see the corresponding condition in ComputeGeomPathLength
859 else if(1.-KineticEnergy/currentKinEnergy > taulim)
860 tau = taubig ;
861 }
862 currentTau = tau ;
863 lambdaeff = trueStepLength/currentTau;
864 currentRadLength = couple->GetMaterial()->GetRadlen();
865
866 if (tau >= taubig) cth = -1.+2.*G4UniformRand();
867 else if (tau >= tausmall)
868 {
869 G4double b,bx,b1,ebx,eb1;
870 G4double prob = 0., qprob = 1. ;
871 G4double a = 1., ea = 0., eaa = 1.;
872 G4double xmean1 = 1., xmean2 = 0.;
873 G4double xsi = 3.;
874
875 G4double theta0 = ComputeTheta0(trueStepLength,KineticEnergy);
876
877 // protexction for very small angles
878 if(theta0*theta0 < tausmall) return cth;
879
880 G4double sth = sin(0.5*theta0);
881 a = 0.25/(sth*sth);
882
883 G4double xmeanth = exp(-tau);
884
885 G4double c = 3. ;
886 G4double c1 = c-1.;
887
888 G4double x0 = 1.-xsi/a ;
889 if(x0 < 0.)
890 {
891 // 1 model function
892 b = exp(tau);
893 bx = b-1.;
894 b1 = b+1.;
895 ebx=exp((c1)*log(bx)) ;
896 eb1=exp((c1)*log(b1)) ;
897 }
898 else
899 {
900 //empirical tail parameter
901 // based some exp. data
902 c = 2.40-0.027*exp(2.*log(Zeff)/3.);
903
904 if(c == 2.) c = 2.+taulim ;
905 if(c <= 1.) c = 1.+taulim ;
906 c1 = c-1.;
907
908 ea = exp(-xsi) ;
909 eaa = 1.-ea ;
910 xmean1 = 1.-(1.-(1.+xsi)*ea)/(eaa*a) ;
911
912 // from the continuity of the 1st derivative at x=x0
913 b = 1.+(c-xsi)/a ;
914
915 b1 = b+1. ;
916 bx = c/a ;
917 eb1=exp((c1)*log(b1)) ;
918 ebx=exp((c1)*log(bx)) ;
919 xmean2 = (x0*eb1+ebx-(eb1*bx-b1*ebx)/(c-2.))/(eb1-ebx) ;
920
921 G4double f1x0 = a*ea/eaa ;
922 G4double f2x0 = c1*eb1*ebx/(eb1-ebx)/exp(c*log(bx)) ;
923
924 // from continuity at x=x0
925 prob = f2x0/(f1x0+f2x0) ;
926
927 // from xmean = xmeanth
928 qprob = (f1x0+f2x0)*xmeanth/(f2x0*xmean1+f1x0*xmean2) ;
929 }
930
931 // sampling of costheta
932 if (G4UniformRand() < qprob)
933 {
934 if (G4UniformRand() < prob)
935 cth = 1.+log(ea+G4UniformRand()*eaa)/a ;
936 else
937 cth = b-b1*bx/exp(log(ebx-G4UniformRand()*(ebx-eb1))/c1) ;
938 }
939 else
940 {
941 cth = -1.+2.*G4UniformRand();
942 }
943 }
944 }
945
946 return cth ;
947}
948//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
949
950G4double G4UrbanMscModel90::SampleDisplacement()
951{
952 const G4double kappa = 2.5;
953 const G4double kappapl1 = kappa+1.;
954 const G4double kappami1 = kappa-1.;
955 G4double rmean = 0.0;
956 if ((currentTau >= tausmall) && !insideskin) {
957 if (currentTau < taulim) {
958 rmean = kappa*currentTau*currentTau*currentTau*
959 (1.-kappapl1*currentTau*0.25)/6. ;
960
961 } else {
962 G4double etau = 0.0;
963 if (currentTau<taubig) etau = exp(-currentTau);
964 rmean = -kappa*currentTau;
965 rmean = -exp(rmean)/(kappa*kappami1);
966 rmean += currentTau-kappapl1/kappa+kappa*etau/kappami1;
967 }
968 if (rmean>0.) rmean = 2.*lambdaeff*sqrt(rmean/3.0);
969 else rmean = 0.;
970 }
971
972 // protection against z > t ...........................
973 if(rmean > 0.) {
974 G4double zt = (tPathLength-zPathLength)*(tPathLength+zPathLength);
975 if(zt <= 0.)
976 rmean = 0.;
977 else if(rmean*rmean > zt)
978 rmean = sqrt(zt);
979 }
980 return rmean;
981}
982
983//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
984
985G4double G4UrbanMscModel90::LatCorrelation()
986{
987 const G4double kappa = 2.5;
988 const G4double kappami1 = kappa-1.;
989
990 G4double latcorr = 0.;
991 if((currentTau >= tausmall) && !insideskin)
992 {
993 if(currentTau < taulim)
994 latcorr = lambdaeff*kappa*currentTau*currentTau*
995 (1.-(kappa+1.)*currentTau/3.)/3.;
996 else
997 {
998 G4double etau = 0.;
999 if(currentTau < taubig) etau = exp(-currentTau);
1000 latcorr = -kappa*currentTau;
1001 latcorr = exp(latcorr)/kappami1;
1002 latcorr += 1.-kappa*etau/kappami1 ;
1003 latcorr *= 2.*lambdaeff/3. ;
1004 }
1005 }
1006
1007 return latcorr;
1008}
1009
1010//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
1011
1012void G4UrbanMscModel90::SampleSecondaries(std::vector<G4DynamicParticle*>*,
1013 const G4MaterialCutsCouple*,
1014 const G4DynamicParticle*,
1015 G4double,
1016 G4double)
1017{}
1018
1019//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
JustWarning
@ JustWarning
Definition: G4ExceptionSeverity.hh:64
fUseSafety
@ fUseSafety
Definition: G4MscStepLimitType.hh:50
fUseDistanceToBoundary
@ fUseDistanceToBoundary
Definition: G4MscStepLimitType.hh:51
G4Poisson
G4long G4Poisson(G4double mean)
Definition: G4Poisson.hh:50
G4StepStatus
G4StepStatus
Definition: G4StepStatus.hh:51
fGeomBoundary
@ fGeomBoundary
Definition: G4StepStatus.hh:54
G4double
double G4double
Definition: G4Types.hh:64
G4int
int G4int
Definition: G4Types.hh:66
G4endl
#define G4endl
Definition: G4ios.hh:52
G4cout
G4DLLIMPORT std::ostream G4cout
G4UniformRand
#define G4UniformRand()
Definition: Randomize.hh:53
CLHEP::Hep3Vector::set
void set(double x, double y, double z)
CLHEP::Hep3Vector::rotateUz
Hep3Vector & rotateUz(const Hep3Vector &)
Definition: ThreeVector.cc:72
G4DynamicParticle::GetMomentumDirection
const G4ThreeVector & GetMomentumDirection() const
G4DynamicParticle::GetDefinition
G4ParticleDefinition * GetDefinition() const
G4DynamicParticle::GetKineticEnergy
G4double GetKineticEnergy() const
G4LossTableManager::Instance
static G4LossTableManager * Instance()
Definition: G4LossTableManager.cc:107
G4MaterialCutsCouple::GetMaterial
const G4Material * GetMaterial() const
Definition: G4MaterialCutsCouple.hh:150
G4Material::GetTotNbOfAtomsPerVolume
G4double GetTotNbOfAtomsPerVolume() const
Definition: G4Material.hh:208
G4Material::GetTotNbOfElectPerVolume
G4double GetTotNbOfElectPerVolume() const
Definition: G4Material.hh:211
G4Material::GetRadlen
G4double GetRadlen() const
Definition: G4Material.hh:219
G4Material::GetName
const G4String & GetName() const
Definition: G4Material.hh:177
G4ParticleChangeForMSC::ProposeMomentumDirection
void ProposeMomentumDirection(const G4ThreeVector &Pfinal)
G4ParticleDefinition::GetParticleName
const G4String & GetParticleName() const
Definition: G4ParticleDefinition.hh:115
G4Step::GetPreStepPoint
G4StepPoint * GetPreStepPoint() const
G4Track::GetDynamicParticle
const G4DynamicParticle * GetDynamicParticle() const
G4Track::GetMaterialCutsCouple
const G4MaterialCutsCouple * GetMaterialCutsCouple() const
G4Track::GetStep
const G4Step * GetStep() const
G4UrbanMscModel90::ComputeTheta0
G4double ComputeTheta0(G4double truePathLength, G4double KineticEnergy)
Definition: G4UrbanMscModel90.cc:705
G4UrbanMscModel90::ComputeGeomPathLength
G4double ComputeGeomPathLength(G4double truePathLength)
Definition: G4UrbanMscModel90.cc:588
G4UrbanMscModel90::Initialise
void Initialise(const G4ParticleDefinition *, const G4DataVector &)
Definition: G4UrbanMscModel90.cc:118
G4UrbanMscModel90::G4UrbanMscModel90
G4UrbanMscModel90(const G4String &nam="UrbanMsc90")
Definition: G4UrbanMscModel90.cc:70
G4UrbanMscModel90::SampleScattering
G4ThreeVector & SampleScattering(const G4DynamicParticle *, G4double safety)
Definition: G4UrbanMscModel90.cc:732
G4UrbanMscModel90::ComputeTrueStepLength
G4double ComputeTrueStepLength(G4double geomStepLength)
Definition: G4UrbanMscModel90.cc:674
G4UrbanMscModel90::ComputeTruePathLengthLimit
G4double ComputeTruePathLengthLimit(const G4Track &track, G4double &currentMinimalStep)
Definition: G4UrbanMscModel90.cc:394
G4UrbanMscModel90::SampleSecondaries
void SampleSecondaries(std::vector< G4DynamicParticle * > *, const G4MaterialCutsCouple *, const G4DynamicParticle *, G4double, G4double)
Definition: G4UrbanMscModel90.cc:1012
G4UrbanMscModel90::ComputeCrossSectionPerAtom
G4double ComputeCrossSectionPerAtom(const G4ParticleDefinition *particle, G4double KineticEnergy, G4double AtomicNumber, G4double AtomicWeight=0., G4double cut=0., G4double emax=DBL_MAX)
Definition: G4UrbanMscModel90.cc:139
G4UrbanMscModel90::StartTracking
void StartTracking(G4Track *)
Definition: G4UrbanMscModel90.cc:383
G4VEmModel::SetCurrentCouple
void SetCurrentCouple(const G4MaterialCutsCouple *)
Definition: G4VEmModel.hh:370
G4VEmModel::CurrentCouple
const G4MaterialCutsCouple * CurrentCouple() const
Definition: G4VEmModel.hh:377
G4VMscModel::dtrl
G4double dtrl
Definition: G4VMscModel.hh:180
G4VMscModel::GetDEDX
G4double GetDEDX(const G4ParticleDefinition *part, G4double kineticEnergy, const G4MaterialCutsCouple *couple)
Definition: G4VMscModel.hh:273
G4VMscModel::facrange
G4double facrange
Definition: G4VMscModel.hh:176
G4VMscModel::ComputeGeomLimit
G4double ComputeGeomLimit(const G4Track &, G4double &presafety, G4double limit)
Definition: G4VMscModel.hh:256
G4VMscModel::samplez
G4bool samplez
Definition: G4VMscModel.hh:188
G4VMscModel::skin
G4double skin
Definition: G4VMscModel.hh:179
G4VMscModel::GetTransportMeanFreePath
G4double GetTransportMeanFreePath(const G4ParticleDefinition *part, G4double kinEnergy)
Definition: G4VMscModel.hh:332
G4VMscModel::GetEnergy
G4double GetEnergy(const G4ParticleDefinition *part, G4double range, const G4MaterialCutsCouple *couple)
Definition: G4VMscModel.hh:304
G4VMscModel::GetRange
G4double GetRange(const G4ParticleDefinition *part, G4double kineticEnergy, const G4MaterialCutsCouple *couple)
Definition: G4VMscModel.hh:288
G4VMscModel::lambdalimit
G4double lambdalimit
Definition: G4VMscModel.hh:181
G4VMscModel::ComputeSafety
G4double ComputeSafety(const G4ThreeVector &position, G4double limit)
Definition: G4VMscModel.hh:238
G4VMscModel::steppingAlgorithm
G4MscStepLimitType steppingAlgorithm
Definition: G4VMscModel.hh:186
G4VMscModel::GetParticleChangeForMSC
G4ParticleChangeForMSC * GetParticleChangeForMSC(const G4ParticleDefinition *p=0)
Definition: G4VMscModel.cc:89
G4VMscModel::ConvertTrueToGeom
G4double ConvertTrueToGeom(G4double &tLength, G4double &gLength)
Definition: G4VMscModel.hh:246
G4VMscModel::latDisplasment
G4bool latDisplasment
Definition: G4VMscModel.hh:189
G4VMscModel::facsafety
G4double facsafety
Definition: G4VMscModel.hh:178
G4VMscModel::fDisplacement
G4ThreeVector fDisplacement
Definition: G4VMscModel.hh:185
G4VMscModel::facgeom
G4double facgeom
Definition: G4VMscModel.hh:177
G4Exception
void G4Exception(const char *originOfException, const char *exceptionCode, G4ExceptionSeverity severity, const char *comments)
Definition: G4Exception.cc:41
G4ExceptionDescription
std::ostringstream G4ExceptionDescription
Definition: globals.hh:76