| Geant4 Cross Reference |
1 // 1 //
2 // ******************************************* 2 // ********************************************************************
3 // * License and Disclaimer 3 // * License and Disclaimer *
4 // * 4 // * *
5 // * The Geant4 software is copyright of th 5 // * The Geant4 software is copyright of the Copyright Holders of *
6 // * the Geant4 Collaboration. It is provided 6 // * the Geant4 Collaboration. It is provided under the terms and *
7 // * conditions of the Geant4 Software License 7 // * conditions of the Geant4 Software License, included in the file *
8 // * LICENSE and available at http://cern.ch/ 8 // * LICENSE and available at http://cern.ch/geant4/license . These *
9 // * include a list of copyright holders. 9 // * include a list of copyright holders. *
10 // * 10 // * *
11 // * Neither the authors of this software syst 11 // * Neither the authors of this software system, nor their employing *
12 // * institutes,nor the agencies providing fin 12 // * institutes,nor the agencies providing financial support for this *
13 // * work make any representation or warran 13 // * work make any representation or warranty, express or implied, *
14 // * regarding this software system or assum 14 // * regarding this software system or assume any liability for its *
15 // * use. Please see the license in the file 15 // * use. Please see the license in the file LICENSE and URL above *
16 // * for the full disclaimer and the limitatio 16 // * for the full disclaimer and the limitation of liability. *
17 // * 17 // * *
18 // * This code implementation is the result 18 // * This code implementation is the result of the scientific and *
19 // * technical work of the GEANT4 collaboratio 19 // * technical work of the GEANT4 collaboration. *
20 // * By using, copying, modifying or distri 20 // * By using, copying, modifying or distributing the software (or *
21 // * any work based on the software) you ag 21 // * any work based on the software) you agree to acknowledge its *
22 // * use in resulting scientific publicati 22 // * use in resulting scientific publications, and indicate your *
23 // * acceptance of all terms of the Geant4 Sof 23 // * acceptance of all terms of the Geant4 Software license. *
24 // ******************************************* 24 // ********************************************************************
25 // 25 //
26 // 26 //
27 // Authors: G.Depaola & F.Longo 27 // Authors: G.Depaola & F.Longo
28 // 28 //
29 // 29 //
30 30
31 #include "G4LivermorePolarizedGammaConversionM 31 #include "G4LivermorePolarizedGammaConversionModel.hh"
32 #include "G4PhysicalConstants.hh" 32 #include "G4PhysicalConstants.hh"
33 #include "G4SystemOfUnits.hh" 33 #include "G4SystemOfUnits.hh"
34 #include "G4Electron.hh" 34 #include "G4Electron.hh"
35 #include "G4Positron.hh" 35 #include "G4Positron.hh"
36 #include "G4ParticleChangeForGamma.hh" 36 #include "G4ParticleChangeForGamma.hh"
37 #include "G4Log.hh" 37 #include "G4Log.hh"
38 #include "G4AutoLock.hh" 38 #include "G4AutoLock.hh"
39 #include "G4Exp.hh" 39 #include "G4Exp.hh"
40 #include "G4ProductionCutsTable.hh" 40 #include "G4ProductionCutsTable.hh"
41 41
42 //....oooOO0OOooo........oooOO0OOooo........oo 42 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
43 43
44 using namespace std; 44 using namespace std;
45 namespace { G4Mutex LivermorePolarizedGammaCon 45 namespace { G4Mutex LivermorePolarizedGammaConversionModelMutex = G4MUTEX_INITIALIZER; }
46 46
47 G4PhysicsFreeVector* G4LivermorePolarizedGamma 47 G4PhysicsFreeVector* G4LivermorePolarizedGammaConversionModel::data[] = {nullptr};
48 48
49 //....oooOO0OOooo........oooOO0OOooo........oo 49 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
50 50
51 G4LivermorePolarizedGammaConversionModel::G4Li 51 G4LivermorePolarizedGammaConversionModel::G4LivermorePolarizedGammaConversionModel(
52 const G4ParticleDefinition*, const G4String 52 const G4ParticleDefinition*, const G4String& nam)
53 :G4VEmModel(nam), smallEnergy(2.*MeV), isIni 53 :G4VEmModel(nam), smallEnergy(2.*MeV), isInitialised(false)
54 { 54 {
55 fParticleChange = nullptr; 55 fParticleChange = nullptr;
56 lowEnergyLimit = 2*electron_mass_c2; 56 lowEnergyLimit = 2*electron_mass_c2;
57 57
58 Phi=0.; 58 Phi=0.;
59 Psi=0.; 59 Psi=0.;
60 60
61 verboseLevel= 0; 61 verboseLevel= 0;
62 // Verbosity scale: 62 // Verbosity scale:
63 // 0 = nothing 63 // 0 = nothing
64 // 1 = calculation of cross sections, file o 64 // 1 = calculation of cross sections, file openings, samping of atoms
65 // 2 = entering in methods 65 // 2 = entering in methods
66 66
67 if(verboseLevel > 0) { 67 if(verboseLevel > 0) {
68 G4cout << "Livermore Polarized GammaConver 68 G4cout << "Livermore Polarized GammaConversion is constructed "
69 << G4endl; 69 << G4endl;
70 } 70 }
71 71
72 } 72 }
73 73
74 //....oooOO0OOooo........oooOO0OOooo........oo 74 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
75 75
76 G4LivermorePolarizedGammaConversionModel::~G4L 76 G4LivermorePolarizedGammaConversionModel::~G4LivermorePolarizedGammaConversionModel()
77 { 77 {
78 if(IsMaster()) { 78 if(IsMaster()) {
79 for(G4int i=0; i<maxZ; ++i) { 79 for(G4int i=0; i<maxZ; ++i) {
80 if(data[i]) { 80 if(data[i]) {
81 delete data[i]; 81 delete data[i];
82 data[i] = nullptr; 82 data[i] = nullptr;
83 } 83 }
84 } 84 }
85 } 85 }
86 } 86 }
87 87
88 //....oooOO0OOooo........oooOO0OOooo........oo 88 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
89 89
90 void G4LivermorePolarizedGammaConversionModel: 90 void G4LivermorePolarizedGammaConversionModel::Initialise(const G4ParticleDefinition* particle,
91 const G 91 const G4DataVector& cuts)
92 { 92 {
93 if (verboseLevel > 1) 93 if (verboseLevel > 1)
94 { 94 {
95 G4cout << "Calling1 G4LivermorePolarized 95 G4cout << "Calling1 G4LivermorePolarizedGammaConversionModel::Initialise()"
96 << G4endl 96 << G4endl
97 << "Energy range: " 97 << "Energy range: "
98 << LowEnergyLimit() / MeV << " MeV - " 98 << LowEnergyLimit() / MeV << " MeV - "
99 << HighEnergyLimit() / GeV << " G 99 << HighEnergyLimit() / GeV << " GeV"
100 << G4endl; 100 << G4endl;
101 } 101 }
102 102
103 if(IsMaster()) 103 if(IsMaster())
104 { 104 {
105 // Initialise element selector 105 // Initialise element selector
106 InitialiseElementSelectors(particle, cut 106 InitialiseElementSelectors(particle, cuts);
107 107
108 // Access to elements 108 // Access to elements
109 const char* path = G4FindDataDir("G4LEDA 109 const char* path = G4FindDataDir("G4LEDATA");
110 110
111 G4ProductionCutsTable* theCoupleTable = 111 G4ProductionCutsTable* theCoupleTable =
112 G4ProductionCutsTable::GetProductionCutsTabl 112 G4ProductionCutsTable::GetProductionCutsTable();
113 113
114 G4int numOfCouples = (G4int)theCoupleTab 114 G4int numOfCouples = (G4int)theCoupleTable->GetTableSize();
115 115
116 for(G4int i=0; i<numOfCouples; ++i) 116 for(G4int i=0; i<numOfCouples; ++i)
117 { 117 {
118 const G4Material* material = 118 const G4Material* material =
119 theCoupleTable->GetMaterialCutsCouple(i) 119 theCoupleTable->GetMaterialCutsCouple(i)->GetMaterial();
120 const G4ElementVector* theElementVector = 120 const G4ElementVector* theElementVector = material->GetElementVector();
121 std::size_t nelm = material->GetNumberOfEl 121 std::size_t nelm = material->GetNumberOfElements();
122 122
123 for (std::size_t j=0; j<nelm; ++j) 123 for (std::size_t j=0; j<nelm; ++j)
124 { 124 {
125 G4int Z = (G4int)(*theElementVector)[j 125 G4int Z = (G4int)(*theElementVector)[j]->GetZ();
126 if(Z < 1) { Z = 1; } 126 if(Z < 1) { Z = 1; }
127 else if(Z > maxZ) { Z = maxZ; } 127 else if(Z > maxZ) { Z = maxZ; }
128 if(!data[Z]) { ReadData(Z, path); } 128 if(!data[Z]) { ReadData(Z, path); }
129 } 129 }
130 } 130 }
131 } 131 }
132 if(isInitialised) { return; } 132 if(isInitialised) { return; }
133 fParticleChange = GetParticleChangeForGamma( 133 fParticleChange = GetParticleChangeForGamma();
134 isInitialised = true; 134 isInitialised = true;
135 } 135 }
136 136
137 //....oooOO0OOooo........oooOO0OOooo........oo 137 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
138 138
139 void G4LivermorePolarizedGammaConversionModel: 139 void G4LivermorePolarizedGammaConversionModel::InitialiseLocal(
140 const G4ParticleDefinition*, G4VEmModel* 140 const G4ParticleDefinition*, G4VEmModel* masterModel)
141 { 141 {
142 SetElementSelectors(masterModel->GetElementS 142 SetElementSelectors(masterModel->GetElementSelectors());
143 } 143 }
144 144
145 //....oooOO0OOooo........oooOO0OOooo........oo 145 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
146 146
147 G4double G4LivermorePolarizedGammaConversionMo 147 G4double G4LivermorePolarizedGammaConversionModel::MinPrimaryEnergy(const G4Material*,
148 const G4ParticleDefinition*, G4doub 148 const G4ParticleDefinition*, G4double)
149 { 149 {
150 return lowEnergyLimit; 150 return lowEnergyLimit;
151 } 151 }
152 152
153 //....oooOO0OOooo........oooOO0OOooo........oo 153 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
154 154
155 void G4LivermorePolarizedGammaConversionModel: 155 void G4LivermorePolarizedGammaConversionModel::ReadData(std::size_t Z, const char* path)
156 { 156 {
157 if (verboseLevel > 1) 157 if (verboseLevel > 1)
158 { 158 {
159 G4cout << "Calling ReadData() of G4Liver 159 G4cout << "Calling ReadData() of G4LivermorePolarizedGammaConversionModel"
160 << G4endl; 160 << G4endl;
161 } 161 }
162 162
163 if(data[Z]) { return; } 163 if(data[Z]) { return; }
164 164
165 const char* datadir = path; 165 const char* datadir = path;
166 166
167 if(!datadir) 167 if(!datadir)
168 { 168 {
169 datadir = G4FindDataDir("G4LEDATA"); 169 datadir = G4FindDataDir("G4LEDATA");
170 if(!datadir) 170 if(!datadir)
171 { 171 {
172 G4Exception("G4LivermorePolarizedGammaConv 172 G4Exception("G4LivermorePolarizedGammaConversionModel::ReadData()",
173 "em0006",FatalException, 173 "em0006",FatalException,
174 "Environment variable G4LEDATA not d 174 "Environment variable G4LEDATA not defined");
175 return; 175 return;
176 } 176 }
177 } 177 }
178 // 178 //
179 data[Z] = new G4PhysicsFreeVector(0,/*spline 179 data[Z] = new G4PhysicsFreeVector(0,/*spline=*/true);
180 // 180 //
181 std::ostringstream ost; 181 std::ostringstream ost;
182 ost << datadir << "/livermore/pair/pp-cs-" < 182 ost << datadir << "/livermore/pair/pp-cs-" << Z <<".dat";
183 std::ifstream fin(ost.str().c_str()); 183 std::ifstream fin(ost.str().c_str());
184 184
185 if( !fin.is_open()) 185 if( !fin.is_open())
186 { 186 {
187 G4ExceptionDescription ed; 187 G4ExceptionDescription ed;
188 ed << "G4LivermorePolarizedGammaConversi 188 ed << "G4LivermorePolarizedGammaConversionModel data file <" << ost.str().c_str()
189 << "> is not opened!" << G4endl; 189 << "> is not opened!" << G4endl;
190 G4Exception("G4LivermorePolarizedGammaCo 190 G4Exception("G4LivermorePolarizedGammaConversionModel::ReadData()",
191 "em0003",FatalException, 191 "em0003",FatalException,
192 ed,"G4LEDATA version should be G4EMLOW6. 192 ed,"G4LEDATA version should be G4EMLOW6.27 or later.");
193 return; 193 return;
194 } 194 }
195 else 195 else
196 { 196 {
197 197
198 if(verboseLevel > 3) { G4cout << "File " 198 if(verboseLevel > 3) { G4cout << "File " << ost.str()
199 << " is opened by G4LivermorePolar 199 << " is opened by G4LivermorePolarizedGammaConversionModel" << G4endl;}
200 200
201 data[Z]->Retrieve(fin, true); 201 data[Z]->Retrieve(fin, true);
202 } 202 }
203 203
204 // Activation of spline interpolation 204 // Activation of spline interpolation
205 data[Z]->FillSecondDerivatives(); 205 data[Z]->FillSecondDerivatives();
206 206
207 } 207 }
208 208
209 //....oooOO0OOooo........oooOO0OOooo........oo 209 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
210 210
211 G4double G4LivermorePolarizedGammaConversionMo 211 G4double G4LivermorePolarizedGammaConversionModel::ComputeCrossSectionPerAtom(
212 const G 212 const G4ParticleDefinition*,
213 G4double GammaEnergy, 213 G4double GammaEnergy,
214 G4double Z, G4double, 214 G4double Z, G4double,
215 G4double, G4double) 215 G4double, G4double)
216 { 216 {
217 if (verboseLevel > 1) { 217 if (verboseLevel > 1) {
218 G4cout << "G4LivermorePolarizedGammaConver 218 G4cout << "G4LivermorePolarizedGammaConversionModel::ComputeCrossSectionPerAtom()"
219 << G4endl; 219 << G4endl;
220 } 220 }
221 if (GammaEnergy < lowEnergyLimit) { return 0 221 if (GammaEnergy < lowEnergyLimit) { return 0.0; }
222 222
223 G4double xs = 0.0; 223 G4double xs = 0.0;
224 224
225 G4int intZ=G4int(Z); 225 G4int intZ=G4int(Z);
226 226
227 if(intZ < 1 || intZ > maxZ) { return xs; } 227 if(intZ < 1 || intZ > maxZ) { return xs; }
228 228
229 G4PhysicsFreeVector* pv = data[intZ]; 229 G4PhysicsFreeVector* pv = data[intZ];
230 230
231 // if element was not initialised 231 // if element was not initialised
232 // do initialisation safely for MT mode 232 // do initialisation safely for MT mode
233 if(!pv) 233 if(!pv)
234 { 234 {
235 InitialiseForElement(0, intZ); 235 InitialiseForElement(0, intZ);
236 pv = data[intZ]; 236 pv = data[intZ];
237 if(!pv) { return xs; } 237 if(!pv) { return xs; }
238 } 238 }
239 // x-section is taken from the table 239 // x-section is taken from the table
240 xs = pv->Value(GammaEnergy); 240 xs = pv->Value(GammaEnergy);
241 241
242 if(verboseLevel > 0) 242 if(verboseLevel > 0)
243 { 243 {
244 G4int n = G4int(pv->GetVectorLength() - 244 G4int n = G4int(pv->GetVectorLength() - 1);
245 G4cout << "****** DEBUG: tcs value for 245 G4cout << "****** DEBUG: tcs value for Z=" << Z << " at energy (MeV)="
246 << GammaEnergy/MeV << G4endl; 246 << GammaEnergy/MeV << G4endl;
247 G4cout << " cs (Geant4 internal unit) 247 G4cout << " cs (Geant4 internal unit)=" << xs << G4endl;
248 G4cout << " -> first cs value in EA 248 G4cout << " -> first cs value in EADL data file (iu) =" << (*pv)[0] << G4endl;
249 G4cout << " -> last cs value in EA 249 G4cout << " -> last cs value in EADL data file (iu) =" << (*pv)[n] << G4endl;
250 G4cout << "*************************** 250 G4cout << "*********************************************************" << G4endl;
251 } 251 }
252 252
253 return xs; 253 return xs;
254 } 254 }
255 255
256 //....oooOO0OOooo........oooOO0OOooo........oo 256 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
257 257
258 void 258 void
259 G4LivermorePolarizedGammaConversionModel::Samp 259 G4LivermorePolarizedGammaConversionModel::SampleSecondaries(std::vector<G4DynamicParticle*>* fvect,
260 const G4MaterialCutsCouple* 260 const G4MaterialCutsCouple* couple,
261 const G4DynamicParticle* aDy 261 const G4DynamicParticle* aDynamicGamma,
262 G4double, 262 G4double,
263 G4double) 263 G4double)
264 { 264 {
265 265
266 // Fluorescence generated according to: 266 // Fluorescence generated according to:
267 // J. Stepanek ,"A program to determine the 267 // J. Stepanek ,"A program to determine the radiation spectra due to a single atomic
268 // subshell ionisation by a particle or due 268 // subshell ionisation by a particle or due to deexcitation or decay of radionuclides",
269 // Comp. Phys. Comm. 1206 pp 1-1-9 (1997) 269 // Comp. Phys. Comm. 1206 pp 1-1-9 (1997)
270 if (verboseLevel > 3) 270 if (verboseLevel > 3)
271 G4cout << "Calling SampleSecondaries() of 271 G4cout << "Calling SampleSecondaries() of G4LivermorePolarizedGammaConversionModel" << G4endl;
272 272
273 G4double photonEnergy = aDynamicGamma->GetKi 273 G4double photonEnergy = aDynamicGamma->GetKineticEnergy();
274 274
275 if(photonEnergy <= lowEnergyLimit) 275 if(photonEnergy <= lowEnergyLimit)
276 { 276 {
277 fParticleChange->ProposeTrackStatus(fSto 277 fParticleChange->ProposeTrackStatus(fStopAndKill);
278 fParticleChange->SetProposedKineticEnerg 278 fParticleChange->SetProposedKineticEnergy(0.);
279 return; 279 return;
280 } 280 }
281 281
282 G4ThreeVector gammaPolarization0 = aDynamicG 282 G4ThreeVector gammaPolarization0 = aDynamicGamma->GetPolarization();
283 G4ThreeVector gammaDirection0 = aDynamicGamm 283 G4ThreeVector gammaDirection0 = aDynamicGamma->GetMomentumDirection();
284 284
285 // Make sure that the polarization vector is 285 // Make sure that the polarization vector is perpendicular to the
286 // gamma direction. If not 286 // gamma direction. If not
287 if(!(gammaPolarization0.isOrthogonal(gammaDi 287 if(!(gammaPolarization0.isOrthogonal(gammaDirection0, 1e-6))||(gammaPolarization0.mag()==0))
288 { // only for testing now 288 { // only for testing now
289 gammaPolarization0 = GetRandomPolarizati 289 gammaPolarization0 = GetRandomPolarization(gammaDirection0);
290 } 290 }
291 else 291 else
292 { 292 {
293 if ( gammaPolarization0.howOrthogonal(ga 293 if ( gammaPolarization0.howOrthogonal(gammaDirection0) != 0)
294 { 294 {
295 gammaPolarization0 = GetPerpendicularPolar 295 gammaPolarization0 = GetPerpendicularPolarization(gammaDirection0, gammaPolarization0);
296 } 296 }
297 } 297 }
298 298
299 // End of Protection 299 // End of Protection
300 300
301 G4double epsilon ; 301 G4double epsilon ;
302 G4double epsilon0Local = electron_mass_c2 / 302 G4double epsilon0Local = electron_mass_c2 / photonEnergy ;
303 303
304 // Do it fast if photon energy < 2. MeV 304 // Do it fast if photon energy < 2. MeV
305 305
306 if (photonEnergy < smallEnergy ) 306 if (photonEnergy < smallEnergy )
307 { 307 {
308 epsilon = epsilon0Local + (0.5 - epsilon 308 epsilon = epsilon0Local + (0.5 - epsilon0Local) * G4UniformRand();
309 } 309 }
310 else 310 else
311 { 311 {
312 // Select randomly one element in the cu 312 // Select randomly one element in the current material
313 const G4ParticleDefinition* particle = 313 const G4ParticleDefinition* particle = aDynamicGamma->GetDefinition();
314 const G4Element* element = SelectRandomA 314 const G4Element* element = SelectRandomAtom(couple,particle,photonEnergy);
315 315
316 if (element == nullptr) 316 if (element == nullptr)
317 { 317 {
318 G4cout << "G4LivermorePolarizedGamma 318 G4cout << "G4LivermorePolarizedGammaConversionModel::SampleSecondaries - element = 0" << G4endl;
319 return; 319 return;
320 } 320 }
321 321
322 322
323 G4IonisParamElm* ionisation = element->G 323 G4IonisParamElm* ionisation = element->GetIonisation();
324 if (ionisation == nullptr) 324 if (ionisation == nullptr)
325 { 325 {
326 G4cout << "G4LivermorePolarizedGamma 326 G4cout << "G4LivermorePolarizedGammaConversionModel::SampleSecondaries - ionisation = 0" << G4endl;
327 return; 327 return;
328 } 328 }
329 329
330 // Extract Coulomb factor for this Eleme 330 // Extract Coulomb factor for this Element
331 G4double fZ = 8. * (ionisation->GetlogZ3 331 G4double fZ = 8. * (ionisation->GetlogZ3());
332 if (photonEnergy > 50. * MeV) fZ += 8. * 332 if (photonEnergy > 50. * MeV) fZ += 8. * (element->GetfCoulomb());
333 333
334 // Limits of the screening variable 334 // Limits of the screening variable
335 G4double screenFactor = 136. * epsilon0L 335 G4double screenFactor = 136. * epsilon0Local / (element->GetIonisation()->GetZ3()) ;
336 G4double screenMax = G4Exp ((42.24 - fZ) 336 G4double screenMax = G4Exp ((42.24 - fZ)/8.368) - 0.952 ;
337 G4double screenMin = std::min(4.*screenF 337 G4double screenMin = std::min(4.*screenFactor,screenMax) ;
338 338
339 // Limits of the energy sampling 339 // Limits of the energy sampling
340 G4double epsilon1 = 0.5 - 0.5 * sqrt(1. 340 G4double epsilon1 = 0.5 - 0.5 * sqrt(1. - screenMin / screenMax) ;
341 G4double epsilonMin = std::max(epsilon0L 341 G4double epsilonMin = std::max(epsilon0Local,epsilon1);
342 G4double epsilonRange = 0.5 - epsilonMin 342 G4double epsilonRange = 0.5 - epsilonMin ;
343 343
344 // Sample the energy rate of the created 344 // Sample the energy rate of the created electron (or positron)
345 G4double screen; 345 G4double screen;
346 G4double gReject ; 346 G4double gReject ;
347 347
348 G4double f10 = ScreenFunction1(screenMin 348 G4double f10 = ScreenFunction1(screenMin) - fZ;
349 G4double f20 = ScreenFunction2(screenMin 349 G4double f20 = ScreenFunction2(screenMin) - fZ;
350 G4double normF1 = std::max(f10 * epsilon 350 G4double normF1 = std::max(f10 * epsilonRange * epsilonRange,0.);
351 G4double normF2 = std::max(1.5 * f20,0.) 351 G4double normF2 = std::max(1.5 * f20,0.);
352 352
353 do { 353 do {
354 if (normF1 / (normF1 + normF2) > G4Uni 354 if (normF1 / (normF1 + normF2) > G4UniformRand() )
355 { 355 {
356 epsilon = 0.5 - epsilonRange * pow 356 epsilon = 0.5 - epsilonRange * pow(G4UniformRand(), 0.3333) ;
357 screen = screenFactor / (epsilon * 357 screen = screenFactor / (epsilon * (1. - epsilon));
358 gReject = (ScreenFunction1(screen) 358 gReject = (ScreenFunction1(screen) - fZ) / f10 ;
359 } 359 }
360 else 360 else
361 { 361 {
362 epsilon = epsilonMin + epsilonRang 362 epsilon = epsilonMin + epsilonRange * G4UniformRand();
363 screen = screenFactor / (epsilon * 363 screen = screenFactor / (epsilon * (1 - epsilon));
364 gReject = (ScreenFunction2(screen) 364 gReject = (ScreenFunction2(screen) - fZ) / f20 ;
365 } 365 }
366 } while ( gReject < G4UniformRand() ); 366 } while ( gReject < G4UniformRand() );
367 } // End of epsilon sampling 367 } // End of epsilon sampling
368 368
369 // Fix charges randomly 369 // Fix charges randomly
370 G4double electronTotEnergy; 370 G4double electronTotEnergy;
371 G4double positronTotEnergy; 371 G4double positronTotEnergy;
372 372
373 if (G4UniformRand() > 0.5) 373 if (G4UniformRand() > 0.5)
374 { 374 {
375 electronTotEnergy = (1. - epsilon) * pho 375 electronTotEnergy = (1. - epsilon) * photonEnergy;
376 positronTotEnergy = epsilon * photonEner 376 positronTotEnergy = epsilon * photonEnergy;
377 } 377 }
378 else 378 else
379 { 379 {
380 positronTotEnergy = (1. - epsilon) * pho 380 positronTotEnergy = (1. - epsilon) * photonEnergy;
381 electronTotEnergy = epsilon * photonEner 381 electronTotEnergy = epsilon * photonEnergy;
382 } 382 }
383 383
384 // Scattered electron (positron) angles. ( Z 384 // Scattered electron (positron) angles. ( Z - axis along the parent photon)
385 // Universal distribution suggested by L. Ur 385 // Universal distribution suggested by L. Urban (Geant3 manual (1993) Phys211),
386 // derived from Tsai distribution (Rev. Mod. 386 // derived from Tsai distribution (Rev. Mod. Phys. 49, 421 (1977)
387 G4double Ene = electronTotEnergy/electron_ma 387 G4double Ene = electronTotEnergy/electron_mass_c2; // Normalized energy
388 388
389 G4double cosTheta = 0.; 389 G4double cosTheta = 0.;
390 G4double sinTheta = 0.; 390 G4double sinTheta = 0.;
391 391
392 SetTheta(&cosTheta,&sinTheta,Ene); 392 SetTheta(&cosTheta,&sinTheta,Ene);
393 G4double phi,psi=0.; 393 G4double phi,psi=0.;
394 394
395 //corrected e+ e- angular angular distributi 395 //corrected e+ e- angular angular distribution //preliminary!
396 phi = SetPhi(photonEnergy); 396 phi = SetPhi(photonEnergy);
397 psi = SetPsi(photonEnergy,phi); 397 psi = SetPsi(photonEnergy,phi);
398 Psi = psi; 398 Psi = psi;
399 Phi = phi; 399 Phi = phi;
400 400
401 G4double phie, phip; 401 G4double phie, phip;
402 G4double choice, choice2; 402 G4double choice, choice2;
403 choice = G4UniformRand(); 403 choice = G4UniformRand();
404 choice2 = G4UniformRand(); 404 choice2 = G4UniformRand();
405 405
406 if (choice2 <= 0.5) 406 if (choice2 <= 0.5)
407 { 407 {
408 // do nothing 408 // do nothing
409 // phi = phi; 409 // phi = phi;
410 } 410 }
411 else 411 else
412 { 412 {
413 phi = -phi; 413 phi = -phi;
414 } 414 }
415 415
416 if (choice <= 0.5) 416 if (choice <= 0.5)
417 { 417 {
418 phie = psi; //azimuthal angle for the el 418 phie = psi; //azimuthal angle for the electron
419 phip = phie+phi; //azimuthal angle for t 419 phip = phie+phi; //azimuthal angle for the positron
420 } 420 }
421 else 421 else
422 { 422 {
423 // opzione 1 phie / phip equivalenti 423 // opzione 1 phie / phip equivalenti
424 phip = psi; //azimuthal angle for the po 424 phip = psi; //azimuthal angle for the positron
425 phie = phip + phi; //azimuthal angle for 425 phie = phip + phi; //azimuthal angle for the electron
426 } 426 }
427 427
428 428
429 // Electron Kinematics 429 // Electron Kinematics
430 G4double dirX = sinTheta*cos(phie); 430 G4double dirX = sinTheta*cos(phie);
431 G4double dirY = sinTheta*sin(phie); 431 G4double dirY = sinTheta*sin(phie);
432 G4double dirZ = cosTheta; 432 G4double dirZ = cosTheta;
433 G4ThreeVector electronDirection(dirX,dirY,di 433 G4ThreeVector electronDirection(dirX,dirY,dirZ);
434 434
435 // Kinematics of the created pair: 435 // Kinematics of the created pair:
436 // the electron and positron are assumed to 436 // the electron and positron are assumed to have a symetric angular
437 // distribution with respect to the Z axis a 437 // distribution with respect to the Z axis along the parent photon
438 438
439 G4double electronKineEnergy = std::max(0.,el 439 G4double electronKineEnergy = std::max(0.,electronTotEnergy - electron_mass_c2) ;
440 440
441 SystemOfRefChange(gammaDirection0,electronDi 441 SystemOfRefChange(gammaDirection0,electronDirection,
442 gammaPolarization0); 442 gammaPolarization0);
443 443
444 G4DynamicParticle* particle1 = new G4Dynamic 444 G4DynamicParticle* particle1 = new G4DynamicParticle (G4Electron::Electron(),
445 electronDirection, 445 electronDirection,
446 electronKineEnergy); 446 electronKineEnergy);
447 447
448 // The e+ is always created (even with kinet 448 // The e+ is always created (even with kinetic energy = 0) for further annihilation
449 Ene = positronTotEnergy/electron_mass_c2; // 449 Ene = positronTotEnergy/electron_mass_c2; // Normalized energy
450 450
451 cosTheta = 0.; 451 cosTheta = 0.;
452 sinTheta = 0.; 452 sinTheta = 0.;
453 453
454 SetTheta(&cosTheta,&sinTheta,Ene); 454 SetTheta(&cosTheta,&sinTheta,Ene);
455 455
456 // Positron Kinematics 456 // Positron Kinematics
457 dirX = sinTheta*cos(phip); 457 dirX = sinTheta*cos(phip);
458 dirY = sinTheta*sin(phip); 458 dirY = sinTheta*sin(phip);
459 dirZ = cosTheta; 459 dirZ = cosTheta;
460 G4ThreeVector positronDirection(dirX,dirY,di 460 G4ThreeVector positronDirection(dirX,dirY,dirZ);
461 461
462 G4double positronKineEnergy = std::max(0.,po 462 G4double positronKineEnergy = std::max(0.,positronTotEnergy - electron_mass_c2) ;
463 SystemOfRefChange(gammaDirection0,positronDi 463 SystemOfRefChange(gammaDirection0,positronDirection,
464 gammaPolarization0); 464 gammaPolarization0);
465 465
466 // Create G4DynamicParticle object for the p 466 // Create G4DynamicParticle object for the particle2
467 G4DynamicParticle* particle2 = new G4Dynamic 467 G4DynamicParticle* particle2 = new G4DynamicParticle(G4Positron::Positron(),
468 468 positronDirection, positronKineEnergy);
469 fvect->push_back(particle1); 469 fvect->push_back(particle1);
470 fvect->push_back(particle2); 470 fvect->push_back(particle2);
471 471
472 // Kill the incident photon 472 // Kill the incident photon
473 fParticleChange->SetProposedKineticEnergy(0. 473 fParticleChange->SetProposedKineticEnergy(0.);
474 fParticleChange->ProposeTrackStatus(fStopAnd 474 fParticleChange->ProposeTrackStatus(fStopAndKill);
475 } 475 }
476 476
477 //....oooOO0OOooo........oooOO0OOooo........oo 477 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
478 478
479 G4double G4LivermorePolarizedGammaConversionMo 479 G4double G4LivermorePolarizedGammaConversionModel::ScreenFunction1(G4double screenVariable)
480 { 480 {
481 // Compute the value of the screening functi 481 // Compute the value of the screening function 3*phi1 - phi2
482 G4double value; 482 G4double value;
483 if (screenVariable > 1.) 483 if (screenVariable > 1.)
484 value = 42.24 - 8.368 * log(screenVariable 484 value = 42.24 - 8.368 * log(screenVariable + 0.952);
485 else 485 else
486 value = 42.392 - screenVariable * (7.796 - 486 value = 42.392 - screenVariable * (7.796 - 1.961 * screenVariable);
487 487
488 return value; 488 return value;
489 } 489 }
490 490
491 491
492 492
493 G4double G4LivermorePolarizedGammaConversionMo 493 G4double G4LivermorePolarizedGammaConversionModel::ScreenFunction2(G4double screenVariable)
494 { 494 {
495 // Compute the value of the screening functi 495 // Compute the value of the screening function 1.5*phi1 - 0.5*phi2
496 G4double value; 496 G4double value;
497 497
498 if (screenVariable > 1.) 498 if (screenVariable > 1.)
499 value = 42.24 - 8.368 * log(screenVariable 499 value = 42.24 - 8.368 * log(screenVariable + 0.952);
500 else 500 else
501 value = 41.405 - screenVariable * (5.828 - 501 value = 41.405 - screenVariable * (5.828 - 0.8945 * screenVariable);
502 502
503 return value; 503 return value;
504 } 504 }
505 505
506 506
507 void G4LivermorePolarizedGammaConversionModel: 507 void G4LivermorePolarizedGammaConversionModel::SetTheta(G4double* p_cosTheta, G4double* p_sinTheta, G4double Energy)
508 { 508 {
509 // to avoid computational errors since Theta 509 // to avoid computational errors since Theta could be very small
510 // Energy in Normalized Units (!) 510 // Energy in Normalized Units (!)
511 511
512 G4double Momentum = sqrt(Energy*Energy -1); 512 G4double Momentum = sqrt(Energy*Energy -1);
513 G4double Rand = G4UniformRand(); 513 G4double Rand = G4UniformRand();
514 514
515 *p_cosTheta = (Energy*((2*Rand)- 1) + Moment 515 *p_cosTheta = (Energy*((2*Rand)- 1) + Momentum)/((Momentum*(2*Rand-1))+Energy);
516 *p_sinTheta = (2*sqrt(Rand*(1-Rand)))/(Momen 516 *p_sinTheta = (2*sqrt(Rand*(1-Rand)))/(Momentum*(2*Rand-1)+Energy);
517 } 517 }
518 518
519 519
520 520
521 G4double G4LivermorePolarizedGammaConversionMo 521 G4double G4LivermorePolarizedGammaConversionModel::SetPhi(G4double Energy)
522 { 522 {
523 G4double value = 0.; 523 G4double value = 0.;
524 G4double Ene = Energy/MeV; 524 G4double Ene = Energy/MeV;
525 525
526 G4double pl[4]; 526 G4double pl[4];
527 G4double pt[2]; 527 G4double pt[2];
528 G4double xi = 0; 528 G4double xi = 0;
529 G4double xe = 0.; 529 G4double xe = 0.;
530 G4double n1=0.; 530 G4double n1=0.;
531 G4double n2=0.; 531 G4double n2=0.;
532 532
533 if (Ene>=50.) 533 if (Ene>=50.)
534 { 534 {
535 const G4double ay0=5.6, by0=18.6, aa0=2. 535 const G4double ay0=5.6, by0=18.6, aa0=2.9, ba0 = 8.16E-3;
536 const G4double aw = 0.0151, bw = 10.7, c 536 const G4double aw = 0.0151, bw = 10.7, cw = -410.;
537 537
538 const G4double axc = 3.1455, bxc = -1.11 538 const G4double axc = 3.1455, bxc = -1.11, cxc = 310.;
539 539
540 pl[0] = Fln(ay0,by0,Ene); 540 pl[0] = Fln(ay0,by0,Ene);
541 pl[1] = aa0 + ba0*(Ene); 541 pl[1] = aa0 + ba0*(Ene);
542 pl[2] = Poli(aw,bw,cw,Ene); 542 pl[2] = Poli(aw,bw,cw,Ene);
543 pl[3] = Poli(axc,bxc,cxc,Ene); 543 pl[3] = Poli(axc,bxc,cxc,Ene);
544 544
545 const G4double abf = 3.1216, bbf = 2.68; 545 const G4double abf = 3.1216, bbf = 2.68;
546 pt[0] = -1.4; 546 pt[0] = -1.4;
547 pt[1] = abf + bbf/Ene; 547 pt[1] = abf + bbf/Ene;
548 548
549 xi = 3.0; 549 xi = 3.0;
550 xe = Encu(pl,pt,xi); 550 xe = Encu(pl,pt,xi);
551 n1 = Fintlor(pl,pi) - Fintlor(pl,xe); 551 n1 = Fintlor(pl,pi) - Fintlor(pl,xe);
552 n2 = Finttan(pt,xe) - Finttan(pt,0.); 552 n2 = Finttan(pt,xe) - Finttan(pt,0.);
553 } 553 }
554 else 554 else
555 { 555 {
556 const G4double ay0=0.144, by0=0.11; 556 const G4double ay0=0.144, by0=0.11;
557 const G4double aa0=2.7, ba0 = 2.74; 557 const G4double aa0=2.7, ba0 = 2.74;
558 const G4double aw = 0.21, bw = 10.8, cw 558 const G4double aw = 0.21, bw = 10.8, cw = -58.;
559 const G4double axc = 3.17, bxc = -0.87, 559 const G4double axc = 3.17, bxc = -0.87, cxc = -6.;
560 560
561 pl[0] = Fln(ay0, by0, Ene); 561 pl[0] = Fln(ay0, by0, Ene);
562 pl[1] = Fln(aa0, ba0, Ene); 562 pl[1] = Fln(aa0, ba0, Ene);
563 pl[2] = Poli(aw,bw,cw,Ene); 563 pl[2] = Poli(aw,bw,cw,Ene);
564 pl[3] = Poli(axc,bxc,cxc,Ene); 564 pl[3] = Poli(axc,bxc,cxc,Ene);
565 565
566 n1 = Fintlor(pl,pi) - Fintlor(pl,xe); 566 n1 = Fintlor(pl,pi) - Fintlor(pl,xe);
567 } 567 }
568 568
569 569
570 G4double n=0.; 570 G4double n=0.;
571 n = n1+n2; 571 n = n1+n2;
572 572
573 G4double c1 = 0.; 573 G4double c1 = 0.;
574 c1 = Glor(pl, xe); 574 c1 = Glor(pl, xe);
575 575
576 G4double r1,r2,r3; 576 G4double r1,r2,r3;
577 G4double xco=0.; 577 G4double xco=0.;
578 578
579 if (Ene>=50.) 579 if (Ene>=50.)
580 { 580 {
581 r1= G4UniformRand(); 581 r1= G4UniformRand();
582 if( r1>=n2/n) 582 if( r1>=n2/n)
583 { 583 {
584 do 584 do
585 { 585 {
586 r2 = G4UniformRand(); 586 r2 = G4UniformRand();
587 value = Finvlor(pl,xe,r2); 587 value = Finvlor(pl,xe,r2);
588 xco = Glor(pl,value)/c1; 588 xco = Glor(pl,value)/c1;
589 r3 = G4UniformRand(); 589 r3 = G4UniformRand();
590 } while(r3>=xco); 590 } while(r3>=xco);
591 } 591 }
592 else 592 else
593 { 593 {
594 value = Finvtan(pt,n,r1); 594 value = Finvtan(pt,n,r1);
595 } 595 }
596 } 596 }
597 else 597 else
598 { 598 {
599 do 599 do
600 { 600 {
601 r2 = G4UniformRand(); 601 r2 = G4UniformRand();
602 value = Finvlor(pl,xe,r2); 602 value = Finvlor(pl,xe,r2);
603 xco = Glor(pl,value)/c1; 603 xco = Glor(pl,value)/c1;
604 r3 = G4UniformRand(); 604 r3 = G4UniformRand();
605 } while(r3>=xco); 605 } while(r3>=xco);
606 } 606 }
607 return value; 607 return value;
608 } 608 }
609 609
610 //....oooOO0OOooo........oooOO0OOooo........oo 610 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
611 611
612 G4double G4LivermorePolarizedGammaConversionMo 612 G4double G4LivermorePolarizedGammaConversionModel::SetPsi(G4double Energy, G4double PhiLocal)
613 { 613 {
614 G4double value = 0.; 614 G4double value = 0.;
615 G4double Ene = Energy/MeV; 615 G4double Ene = Energy/MeV;
616 616
617 G4double p0l[4]; 617 G4double p0l[4];
618 G4double ppml[4]; 618 G4double ppml[4];
619 G4double p0t[2]; 619 G4double p0t[2];
620 G4double ppmt[2]; 620 G4double ppmt[2];
621 621
622 G4double xi = 0.; 622 G4double xi = 0.;
623 G4double xe0 = 0.; 623 G4double xe0 = 0.;
624 G4double xepm = 0.; 624 G4double xepm = 0.;
625 625
626 if (Ene>=50.) 626 if (Ene>=50.)
627 { 627 {
628 const G4double ay00 = 3.4, by00 = 9.8, a 628 const G4double ay00 = 3.4, by00 = 9.8, aa00 = 1.34, ba00 = 5.3;
629 const G4double aw0 = 0.014, bw0 = 9.7, c 629 const G4double aw0 = 0.014, bw0 = 9.7, cw0 = -2.E4;
630 const G4double axc0 = 3.1423, bxc0 = -2. 630 const G4double axc0 = 3.1423, bxc0 = -2.35, cxc0 = 0.;
631 const G4double ay0p = 1.53, by0p = 3.2, 631 const G4double ay0p = 1.53, by0p = 3.2, aap = 0.67, bap = 8.5E-3;
632 const G4double awp = 6.9E-3, bwp = 12.6, 632 const G4double awp = 6.9E-3, bwp = 12.6, cwp = -3.8E4;
633 const G4double axcp = 2.8E-3,bxcp = -3.1 633 const G4double axcp = 2.8E-3,bxcp = -3.133;
634 const G4double abf0 = 3.1213, bbf0 = 2.6 634 const G4double abf0 = 3.1213, bbf0 = 2.61;
635 const G4double abfpm = 3.1231, bbfpm = 2 635 const G4double abfpm = 3.1231, bbfpm = 2.84;
636 636
637 p0l[0] = Fln(ay00, by00, Ene); 637 p0l[0] = Fln(ay00, by00, Ene);
638 p0l[1] = Fln(aa00, ba00, Ene); 638 p0l[1] = Fln(aa00, ba00, Ene);
639 p0l[2] = Poli(aw0, bw0, cw0, Ene); 639 p0l[2] = Poli(aw0, bw0, cw0, Ene);
640 p0l[3] = Poli(axc0, bxc0, cxc0, Ene); 640 p0l[3] = Poli(axc0, bxc0, cxc0, Ene);
641 641
642 ppml[0] = Fln(ay0p, by0p, Ene); 642 ppml[0] = Fln(ay0p, by0p, Ene);
643 ppml[1] = aap + bap*(Ene); 643 ppml[1] = aap + bap*(Ene);
644 ppml[2] = Poli(awp, bwp, cwp, Ene); 644 ppml[2] = Poli(awp, bwp, cwp, Ene);
645 ppml[3] = Fln(axcp,bxcp,Ene); 645 ppml[3] = Fln(axcp,bxcp,Ene);
646 646
647 p0t[0] = -0.81; 647 p0t[0] = -0.81;
648 p0t[1] = abf0 + bbf0/Ene; 648 p0t[1] = abf0 + bbf0/Ene;
649 ppmt[0] = -0.6; 649 ppmt[0] = -0.6;
650 ppmt[1] = abfpm + bbfpm/Ene; 650 ppmt[1] = abfpm + bbfpm/Ene;
651 651
652 xi = 3.0; 652 xi = 3.0;
653 xe0 = Encu(p0l, p0t, xi); 653 xe0 = Encu(p0l, p0t, xi);
654 xepm = Encu(ppml, ppmt, xi); 654 xepm = Encu(ppml, ppmt, xi);
655 } 655 }
656 else 656 else
657 { 657 {
658 const G4double ay00 = 2.82, by00 = 6.35; 658 const G4double ay00 = 2.82, by00 = 6.35;
659 const G4double aa00 = -1.75, ba00 = 0.25 659 const G4double aa00 = -1.75, ba00 = 0.25;
660 660
661 const G4double aw0 = 0.028, bw0 = 5., cw 661 const G4double aw0 = 0.028, bw0 = 5., cw0 = -50.;
662 const G4double axc0 = 3.14213, bxc0 = -2 662 const G4double axc0 = 3.14213, bxc0 = -2.3, cxc0 = 5.7;
663 const G4double ay0p = 1.56, by0p = 3.6; 663 const G4double ay0p = 1.56, by0p = 3.6;
664 const G4double aap = 0.86, bap = 8.3E-3; 664 const G4double aap = 0.86, bap = 8.3E-3;
665 const G4double awp = 0.022, bwp = 7.4, c 665 const G4double awp = 0.022, bwp = 7.4, cwp = -51.;
666 const G4double xcp = 3.1486; 666 const G4double xcp = 3.1486;
667 667
668 p0l[0] = Fln(ay00, by00, Ene); 668 p0l[0] = Fln(ay00, by00, Ene);
669 p0l[1] = aa00+pow(Ene, ba00); 669 p0l[1] = aa00+pow(Ene, ba00);
670 p0l[2] = Poli(aw0, bw0, cw0, Ene); 670 p0l[2] = Poli(aw0, bw0, cw0, Ene);
671 p0l[3] = Poli(axc0, bxc0, cxc0, Ene); 671 p0l[3] = Poli(axc0, bxc0, cxc0, Ene);
672 ppml[0] = Fln(ay0p, by0p, Ene); 672 ppml[0] = Fln(ay0p, by0p, Ene);
673 ppml[1] = aap + bap*(Ene); 673 ppml[1] = aap + bap*(Ene);
674 ppml[2] = Poli(awp, bwp, cwp, Ene); 674 ppml[2] = Poli(awp, bwp, cwp, Ene);
675 ppml[3] = xcp; 675 ppml[3] = xcp;
676 } 676 }
677 677
678 G4double a,b=0.; 678 G4double a,b=0.;
679 679
680 if (Ene>=50.) 680 if (Ene>=50.)
681 { 681 {
682 if (PhiLocal>xepm) 682 if (PhiLocal>xepm)
683 { 683 {
684 b = (ppml[0]+2*ppml[1]*ppml[2]*Flor( 684 b = (ppml[0]+2*ppml[1]*ppml[2]*Flor(ppml,PhiLocal));
685 } 685 }
686 else 686 else
687 { 687 {
688 b = Ftan(ppmt,PhiLocal); 688 b = Ftan(ppmt,PhiLocal);
689 } 689 }
690 if (PhiLocal>xe0) 690 if (PhiLocal>xe0)
691 { 691 {
692 a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l 692 a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l,PhiLocal));
693 } 693 }
694 else 694 else
695 { 695 {
696 a = Ftan(p0t,PhiLocal); 696 a = Ftan(p0t,PhiLocal);
697 } 697 }
698 } 698 }
699 else 699 else
700 { 700 {
701 b = (ppml[0]+2*ppml[1]*ppml[2]*Flor(ppml 701 b = (ppml[0]+2*ppml[1]*ppml[2]*Flor(ppml,PhiLocal));
702 a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l,Phi 702 a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l,PhiLocal));
703 } 703 }
704 G4double nr =0.; 704 G4double nr =0.;
705 705
706 if (b>a) 706 if (b>a)
707 { 707 {
708 nr = 1./b; 708 nr = 1./b;
709 } 709 }
710 else 710 else
711 { 711 {
712 nr = 1./a; 712 nr = 1./a;
713 } 713 }
714 714
715 G4double r1,r2=0.; 715 G4double r1,r2=0.;
716 G4double r3 =-1.; 716 G4double r3 =-1.;
717 do 717 do
718 { 718 {
719 r1 = G4UniformRand(); 719 r1 = G4UniformRand();
720 r2 = G4UniformRand(); 720 r2 = G4UniformRand();
721 //value = r2*pi; 721 //value = r2*pi;
722 value = 2.*r2*pi; 722 value = 2.*r2*pi;
723 r3 = nr*(a*cos(value)*cos(value) + b*sin 723 r3 = nr*(a*cos(value)*cos(value) + b*sin(value)*sin(value));
724 }while(r1>r3); 724 }while(r1>r3);
725 725
726 return value; 726 return value;
727 } 727 }
728 728
729 //....oooOO0OOooo........oooOO0OOooo........oo 729 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
730 730
731 G4double G4LivermorePolarizedGammaConversionMo 731 G4double G4LivermorePolarizedGammaConversionModel::Poli
732 (G4double a, G4double b, G4double c, G4double 732 (G4double a, G4double b, G4double c, G4double x)
733 { 733 {
734 G4double value=0.; 734 G4double value=0.;
735 if(x>0.) 735 if(x>0.)
736 { 736 {
737 value =(a + b/x + c/(x*x*x)); 737 value =(a + b/x + c/(x*x*x));
738 } 738 }
739 else 739 else
740 { 740 {
741 //G4cout << "ERROR in Poli! " << G4endl; 741 //G4cout << "ERROR in Poli! " << G4endl;
742 } 742 }
743 return value; 743 return value;
744 } 744 }
745 745
746 //....oooOO0OOooo........oooOO0OOooo........oo 746 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
747 747
748 G4double G4LivermorePolarizedGammaConversionMo 748 G4double G4LivermorePolarizedGammaConversionModel::Fln
749 (G4double a, G4double b, G4double x) 749 (G4double a, G4double b, G4double x)
750 { 750 {
751 G4double value=0.; 751 G4double value=0.;
752 if(x>0.) 752 if(x>0.)
753 { 753 {
754 value =(a*log(x)-b); 754 value =(a*log(x)-b);
755 } 755 }
756 else 756 else
757 { 757 {
758 //G4cout << "ERROR in Fln! " << G4endl; 758 //G4cout << "ERROR in Fln! " << G4endl;
759 } 759 }
760 return value; 760 return value;
761 } 761 }
762 762
763 //....oooOO0OOooo........oooOO0OOooo........oo 763 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
764 764
765 G4double G4LivermorePolarizedGammaConversionMo 765 G4double G4LivermorePolarizedGammaConversionModel::Encu
766 (G4double* p_p1, G4double* p_p2, G4double x0) 766 (G4double* p_p1, G4double* p_p2, G4double x0)
767 { 767 {
768 G4int i=0; 768 G4int i=0;
769 G4double fx = 1.; 769 G4double fx = 1.;
770 G4double x = x0; 770 G4double x = x0;
771 const G4double xmax = 3.0; 771 const G4double xmax = 3.0;
772 772
773 for(i=0; i<100; ++i) 773 for(i=0; i<100; ++i)
774 { 774 {
775 fx = (Flor(p_p1,x)*Glor(p_p1,x) - Ftan(p 775 fx = (Flor(p_p1,x)*Glor(p_p1,x) - Ftan(p_p2, x))/
776 (Fdlor(p_p1,x) - Fdtan(p_p2,x)); 776 (Fdlor(p_p1,x) - Fdtan(p_p2,x));
777 x -= fx; 777 x -= fx;
778 if(x > xmax) { return xmax; } 778 if(x > xmax) { return xmax; }
779 if(std::fabs(fx) <= x*1.0e-6) { break; } 779 if(std::fabs(fx) <= x*1.0e-6) { break; }
780 } 780 }
781 781
782 if(x < 0.0) { x = 0.0; } 782 if(x < 0.0) { x = 0.0; }
783 return x; 783 return x;
784 } 784 }
785 785
786 //....oooOO0OOooo........oooOO0OOooo........oo 786 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
787 787
788 G4double G4LivermorePolarizedGammaConversionMo 788 G4double G4LivermorePolarizedGammaConversionModel::Flor(G4double* p_p1, G4double x)
789 { 789 {
790 G4double value =0.; 790 G4double value =0.;
791 G4double w = p_p1[2]; 791 G4double w = p_p1[2];
792 G4double xc = p_p1[3]; 792 G4double xc = p_p1[3];
793 793
794 value = 1./(pi*(w*w + 4.*(x-xc)*(x-xc))); 794 value = 1./(pi*(w*w + 4.*(x-xc)*(x-xc)));
795 return value; 795 return value;
796 } 796 }
797 797
798 //....oooOO0OOooo........oooOO0OOooo........oo 798 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
799 799
800 G4double G4LivermorePolarizedGammaConversionMo 800 G4double G4LivermorePolarizedGammaConversionModel::Glor(G4double* p_p1, G4double x)
801 { 801 {
802 G4double value =0.; 802 G4double value =0.;
803 G4double y0 = p_p1[0]; 803 G4double y0 = p_p1[0];
804 G4double A = p_p1[1]; 804 G4double A = p_p1[1];
805 G4double w = p_p1[2]; 805 G4double w = p_p1[2];
806 G4double xc = p_p1[3]; 806 G4double xc = p_p1[3];
807 807
808 value = (y0 *pi*(w*w + 4.*(x-xc)*(x-xc)) + 808 value = (y0 *pi*(w*w + 4.*(x-xc)*(x-xc)) + 2.*A*w);
809 return value; 809 return value;
810 } 810 }
811 811
812 //....oooOO0OOooo........oooOO0OOooo........oo 812 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
813 813
814 G4double G4LivermorePolarizedGammaConversionMo 814 G4double G4LivermorePolarizedGammaConversionModel::Fdlor(G4double* p_p1, G4double x)
815 { 815 {
816 G4double value =0.; 816 G4double value =0.;
817 G4double A = p_p1[1]; 817 G4double A = p_p1[1];
818 G4double w = p_p1[2]; 818 G4double w = p_p1[2];
819 G4double xc = p_p1[3]; 819 G4double xc = p_p1[3];
820 820
821 value = (-16.*A*w*(x-xc))/ 821 value = (-16.*A*w*(x-xc))/
822 (pi*(w*w+4.*(x-xc)*(x-xc))*(w*w+4.*(x-xc)* 822 (pi*(w*w+4.*(x-xc)*(x-xc))*(w*w+4.*(x-xc)*(x-xc)));
823 return value; 823 return value;
824 } 824 }
825 825
826 //....oooOO0OOooo........oooOO0OOooo........oo 826 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
827 827
828 G4double G4LivermorePolarizedGammaConversionMo 828 G4double G4LivermorePolarizedGammaConversionModel::Fintlor(G4double* p_p1, G4double x)
829 { 829 {
830 G4double value =0.; 830 G4double value =0.;
831 G4double y0 = p_p1[0]; 831 G4double y0 = p_p1[0];
832 G4double A = p_p1[1]; 832 G4double A = p_p1[1];
833 G4double w = p_p1[2]; 833 G4double w = p_p1[2];
834 G4double xc = p_p1[3]; 834 G4double xc = p_p1[3];
835 835
836 value = y0*x + A*atan( 2*(x-xc)/w) / pi; 836 value = y0*x + A*atan( 2*(x-xc)/w) / pi;
837 return value; 837 return value;
838 } 838 }
839 839
840 840
841 G4double G4LivermorePolarizedGammaConversionMo 841 G4double G4LivermorePolarizedGammaConversionModel::Finvlor(G4double* p_p1, G4double x, G4double r)
842 { 842 {
843 G4double value = 0.; 843 G4double value = 0.;
844 G4double nor = 0.; 844 G4double nor = 0.;
845 G4double w = p_p1[2]; 845 G4double w = p_p1[2];
846 G4double xc = p_p1[3]; 846 G4double xc = p_p1[3];
847 847
848 nor = atan(2.*(pi-xc)/w)/(2.*pi*w) - atan(2. 848 nor = atan(2.*(pi-xc)/w)/(2.*pi*w) - atan(2.*(x-xc)/w)/(2.*pi*w);
849 value = xc - (w/2.)*tan(-2.*r*nor*pi*w+atan( 849 value = xc - (w/2.)*tan(-2.*r*nor*pi*w+atan(2*(xc-x)/w));
850 850
851 return value; 851 return value;
852 } 852 }
853 853
854 //....oooOO0OOooo........oooOO0OOooo........oo 854 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
855 855
856 G4double G4LivermorePolarizedGammaConversionMo 856 G4double G4LivermorePolarizedGammaConversionModel::Ftan(G4double* p_p1, G4double x)
857 { 857 {
858 G4double value =0.; 858 G4double value =0.;
859 G4double a = p_p1[0]; 859 G4double a = p_p1[0];
860 G4double b = p_p1[1]; 860 G4double b = p_p1[1];
861 861
862 value = a /(x-b); 862 value = a /(x-b);
863 return value; 863 return value;
864 } 864 }
865 865
866 //....oooOO0OOooo........oooOO0OOooo........oo 866 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
867 867
868 G4double G4LivermorePolarizedGammaConversionMo 868 G4double G4LivermorePolarizedGammaConversionModel::Fdtan(G4double* p_p1, G4double x)
869 { 869 {
870 G4double value =0.; 870 G4double value =0.;
871 G4double a = p_p1[0]; 871 G4double a = p_p1[0];
872 G4double b = p_p1[1]; 872 G4double b = p_p1[1];
873 873
874 value = -1.*a / ((x-b)*(x-b)); 874 value = -1.*a / ((x-b)*(x-b));
875 return value; 875 return value;
876 } 876 }
877 877
878 //....oooOO0OOooo........oooOO0OOooo........oo 878 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
879 879
880 G4double G4LivermorePolarizedGammaConversionMo 880 G4double G4LivermorePolarizedGammaConversionModel::Finttan(G4double* p_p1, G4double x)
881 { 881 {
882 G4double value =0.; 882 G4double value =0.;
883 G4double a = p_p1[0]; 883 G4double a = p_p1[0];
884 G4double b = p_p1[1]; 884 G4double b = p_p1[1];
885 885
886 value = a*log(b-x); 886 value = a*log(b-x);
887 return value; 887 return value;
888 } 888 }
889 889
890 //....oooOO0OOooo........oooOO0OOooo........oo 890 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
891 891
892 G4double G4LivermorePolarizedGammaConversionMo 892 G4double G4LivermorePolarizedGammaConversionModel::Finvtan(G4double* p_p1, G4double cnor, G4double r)
893 { 893 {
894 G4double value =0.; 894 G4double value =0.;
895 G4double a = p_p1[0]; 895 G4double a = p_p1[0];
896 G4double b = p_p1[1]; 896 G4double b = p_p1[1];
897 897
898 value = b*(1-G4Exp(r*cnor/a)); 898 value = b*(1-G4Exp(r*cnor/a));
899 899
900 return value; 900 return value;
901 } 901 }
902 902
903 //....oooOO0OOooo........oooOO0OOooo........oo 903 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
904 904
905 G4ThreeVector G4LivermorePolarizedGammaConvers 905 G4ThreeVector G4LivermorePolarizedGammaConversionModel::SetPerpendicularVector(G4ThreeVector& a)
906 { 906 {
907 G4double dx = a.x(); 907 G4double dx = a.x();
908 G4double dy = a.y(); 908 G4double dy = a.y();
909 G4double dz = a.z(); 909 G4double dz = a.z();
910 G4double x = dx < 0.0 ? -dx : dx; 910 G4double x = dx < 0.0 ? -dx : dx;
911 G4double y = dy < 0.0 ? -dy : dy; 911 G4double y = dy < 0.0 ? -dy : dy;
912 G4double z = dz < 0.0 ? -dz : dz; 912 G4double z = dz < 0.0 ? -dz : dz;
913 if (x < y) { 913 if (x < y) {
914 return x < z ? G4ThreeVector(-dy,dx,0) : G 914 return x < z ? G4ThreeVector(-dy,dx,0) : G4ThreeVector(0,-dz,dy);
915 }else{ 915 }else{
916 return y < z ? G4ThreeVector(dz,0,-dx) : G 916 return y < z ? G4ThreeVector(dz,0,-dx) : G4ThreeVector(-dy,dx,0);
917 } 917 }
918 } 918 }
919 919
920 //....oooOO0OOooo........oooOO0OOooo........oo 920 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
921 921
922 G4ThreeVector G4LivermorePolarizedGammaConvers 922 G4ThreeVector G4LivermorePolarizedGammaConversionModel::GetRandomPolarization(G4ThreeVector& direction0)
923 { 923 {
924 G4ThreeVector d0 = direction0.unit(); 924 G4ThreeVector d0 = direction0.unit();
925 G4ThreeVector a1 = SetPerpendicularVector(d0 925 G4ThreeVector a1 = SetPerpendicularVector(d0); //different orthogonal
926 G4ThreeVector a0 = a1.unit(); // unit vector 926 G4ThreeVector a0 = a1.unit(); // unit vector
927 927
928 G4double rand1 = G4UniformRand(); 928 G4double rand1 = G4UniformRand();
929 929
930 G4double angle = twopi*rand1; // random pola 930 G4double angle = twopi*rand1; // random polar angle
931 G4ThreeVector b0 = d0.cross(a0); // cross pr 931 G4ThreeVector b0 = d0.cross(a0); // cross product
932 932
933 G4ThreeVector c; 933 G4ThreeVector c;
934 934
935 c.setX(std::cos(angle)*(a0.x())+std::sin(ang 935 c.setX(std::cos(angle)*(a0.x())+std::sin(angle)*b0.x());
936 c.setY(std::cos(angle)*(a0.y())+std::sin(ang 936 c.setY(std::cos(angle)*(a0.y())+std::sin(angle)*b0.y());
937 c.setZ(std::cos(angle)*(a0.z())+std::sin(ang 937 c.setZ(std::cos(angle)*(a0.z())+std::sin(angle)*b0.z());
938 938
939 G4ThreeVector c0 = c.unit(); 939 G4ThreeVector c0 = c.unit();
940 940
941 return c0; 941 return c0;
942 } 942 }
943 943
944 //....oooOO0OOooo........oooOO0OOooo........oo 944 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
945 945
946 G4ThreeVector G4LivermorePolarizedGammaConvers 946 G4ThreeVector G4LivermorePolarizedGammaConversionModel::GetPerpendicularPolarization
947 (const G4ThreeVector& gammaDirection, const G4 947 (const G4ThreeVector& gammaDirection, const G4ThreeVector& gammaPolarization) const
948 { 948 {
949 // 949 //
950 // The polarization of a photon is always pe 950 // The polarization of a photon is always perpendicular to its momentum direction.
951 // Therefore this function removes those vec 951 // Therefore this function removes those vector component of gammaPolarization, which
952 // points in direction of gammaDirection 952 // points in direction of gammaDirection
953 // 953 //
954 // Mathematically we search the projection o 954 // Mathematically we search the projection of the vector a on the plane E, where n is the
955 // plains normal vector. 955 // plains normal vector.
956 // The basic equation can be found in each g 956 // The basic equation can be found in each geometry book (e.g. Bronstein):
957 // p = a - (a o n)/(n o n)*n 957 // p = a - (a o n)/(n o n)*n
958 958
959 return gammaPolarization - gammaPolarization 959 return gammaPolarization - gammaPolarization.dot(gammaDirection)/gammaDirection.dot(gammaDirection) * gammaDirection;
960 } 960 }
961 961
962 //....oooOO0OOooo........oooOO0OOooo........oo 962 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
963 963
964 void G4LivermorePolarizedGammaConversionModel: 964 void G4LivermorePolarizedGammaConversionModel::SystemOfRefChange
965 (G4ThreeVector& direction0,G4ThreeVector& 965 (G4ThreeVector& direction0,G4ThreeVector& direction1,
966 G4ThreeVector& polarization0) 966 G4ThreeVector& polarization0)
967 { 967 {
968 // direction0 is the original photon directi 968 // direction0 is the original photon direction ---> z
969 // polarization0 is the original photon pola 969 // polarization0 is the original photon polarization ---> x
970 // need to specify y axis in the real refere 970 // need to specify y axis in the real reference frame ---> y
971 G4ThreeVector Axis_Z0 = direction0.unit(); 971 G4ThreeVector Axis_Z0 = direction0.unit();
972 G4ThreeVector Axis_X0 = polarization0.unit() 972 G4ThreeVector Axis_X0 = polarization0.unit();
973 G4ThreeVector Axis_Y0 = (Axis_Z0.cross(Axis_ 973 G4ThreeVector Axis_Y0 = (Axis_Z0.cross(Axis_X0)).unit(); // to be confirmed;
974 974
975 G4double direction_x = direction1.getX(); 975 G4double direction_x = direction1.getX();
976 G4double direction_y = direction1.getY(); 976 G4double direction_y = direction1.getY();
977 G4double direction_z = direction1.getZ(); 977 G4double direction_z = direction1.getZ();
978 978
979 direction1 = (direction_x*Axis_X0 + directio 979 direction1 = (direction_x*Axis_X0 + direction_y*Axis_Y0 + direction_z*Axis_Z0).unit();
980 } 980 }
981 981
982 //....oooOO0OOooo........oooOO0OOooo........oo 982 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
983 983
984 void G4LivermorePolarizedGammaConversionModel: 984 void G4LivermorePolarizedGammaConversionModel::InitialiseForElement(
985 const G4ParticleDefiniti 985 const G4ParticleDefinition*,
986 G4int Z) 986 G4int Z)
987 { 987 {
988 G4AutoLock l(&LivermorePolarizedGammaConvers 988 G4AutoLock l(&LivermorePolarizedGammaConversionModelMutex);
989 if(!data[Z]) { ReadData(Z); } 989 if(!data[Z]) { ReadData(Z); }
990 l.unlock(); 990 l.unlock();
991 } 991 }
992 992