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25 // 25 //
>> 26 // $Id: G4LivermorePolarizedGammaConversionModel.hh,v 1.2 2010-11-23 16:42:15 flongo Exp $
>> 27 // GEANT4 tag $Name: not supported by cvs2svn $
26 // 28 //
27 // Authors: G.Depaola & F.Longo 29 // Authors: G.Depaola & F.Longo
28 // 30 //
29 // 31 //
30 32
31 #include "G4LivermorePolarizedGammaConversionM 33 #include "G4LivermorePolarizedGammaConversionModel.hh"
32 #include "G4PhysicalConstants.hh" <<
33 #include "G4SystemOfUnits.hh" <<
34 #include "G4Electron.hh" <<
35 #include "G4Positron.hh" <<
36 #include "G4ParticleChangeForGamma.hh" <<
37 #include "G4Log.hh" <<
38 #include "G4AutoLock.hh" <<
39 #include "G4Exp.hh" <<
40 #include "G4ProductionCutsTable.hh" <<
41 34
42 //....oooOO0OOooo........oooOO0OOooo........oo 35 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
43 36
44 using namespace std; 37 using namespace std;
45 namespace { G4Mutex LivermorePolarizedGammaCon <<
46 <<
47 G4PhysicsFreeVector* G4LivermorePolarizedGamma <<
48 38
49 //....oooOO0OOooo........oooOO0OOooo........oo 39 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
50 40
51 G4LivermorePolarizedGammaConversionModel::G4Li 41 G4LivermorePolarizedGammaConversionModel::G4LivermorePolarizedGammaConversionModel(
52 const G4ParticleDefinition*, const G4String 42 const G4ParticleDefinition*, const G4String& nam)
53 :G4VEmModel(nam), smallEnergy(2.*MeV), isIni << 43 :G4VEmModel(nam),fParticleChange(0),
>> 44 isInitialised(false),meanFreePathTable(0),crossSectionHandler(0)
54 { 45 {
55 fParticleChange = nullptr; <<
56 lowEnergyLimit = 2*electron_mass_c2; 46 lowEnergyLimit = 2*electron_mass_c2;
57 << 47 highEnergyLimit = 100 * GeV;
>> 48 SetLowEnergyLimit(lowEnergyLimit);
>> 49 SetHighEnergyLimit(highEnergyLimit);
>> 50 smallEnergy = 2.*MeV;
>> 51
58 Phi=0.; 52 Phi=0.;
59 Psi=0.; 53 Psi=0.;
60 54
61 verboseLevel= 0; 55 verboseLevel= 0;
62 // Verbosity scale: 56 // Verbosity scale:
63 // 0 = nothing 57 // 0 = nothing
64 // 1 = calculation of cross sections, file o << 58 // 1 = warning for energy non-conservation
65 // 2 = entering in methods << 59 // 2 = details of energy budget
66 << 60 // 3 = calculation of cross sections, file openings, samping of atoms
>> 61 // 4 = entering in methods
>> 62
67 if(verboseLevel > 0) { 63 if(verboseLevel > 0) {
68 G4cout << "Livermore Polarized GammaConver << 64 G4cout << "Livermore Polarized GammaConversion is constructed " << G4endl
>> 65 << "Energy range: "
>> 66 << lowEnergyLimit / keV << " keV - "
>> 67 << highEnergyLimit / GeV << " GeV"
69 << G4endl; 68 << G4endl;
70 } 69 }
71 << 70
>> 71 crossSectionHandler = new G4CrossSectionHandler();
>> 72 crossSectionHandler->Initialise(0,lowEnergyLimit,highEnergyLimit,400);
72 } 73 }
73 74
74 //....oooOO0OOooo........oooOO0OOooo........oo 75 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
75 76
76 G4LivermorePolarizedGammaConversionModel::~G4L 77 G4LivermorePolarizedGammaConversionModel::~G4LivermorePolarizedGammaConversionModel()
77 { 78 {
78 if(IsMaster()) { << 79 delete crossSectionHandler;
79 for(G4int i=0; i<maxZ; ++i) { <<
80 if(data[i]) { <<
81 delete data[i]; <<
82 data[i] = nullptr; <<
83 } <<
84 } <<
85 } <<
86 } 80 }
87 81
>> 82
>> 83
88 //....oooOO0OOooo........oooOO0OOooo........oo 84 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
89 85
90 void G4LivermorePolarizedGammaConversionModel: 86 void G4LivermorePolarizedGammaConversionModel::Initialise(const G4ParticleDefinition* particle,
91 const G 87 const G4DataVector& cuts)
92 { 88 {
93 if (verboseLevel > 1) << 89 if (verboseLevel > 3)
94 { << 90 G4cout << "Calling G4LivermorePolarizedGammaConversionModel::Initialise()" << G4endl;
95 G4cout << "Calling1 G4LivermorePolarized <<
96 << G4endl <<
97 << "Energy range: " <<
98 << LowEnergyLimit() / MeV << " MeV - " <<
99 << HighEnergyLimit() / GeV << " G <<
100 << G4endl; <<
101 } <<
102 <<
103 if(IsMaster()) <<
104 { <<
105 // Initialise element selector <<
106 InitialiseElementSelectors(particle, cut <<
107 <<
108 // Access to elements <<
109 const char* path = G4FindDataDir("G4LEDA <<
110 <<
111 G4ProductionCutsTable* theCoupleTable = <<
112 G4ProductionCutsTable::GetProductionCutsTabl <<
113 <<
114 G4int numOfCouples = (G4int)theCoupleTab <<
115 <<
116 for(G4int i=0; i<numOfCouples; ++i) <<
117 { <<
118 const G4Material* material = <<
119 theCoupleTable->GetMaterialCutsCouple(i) <<
120 const G4ElementVector* theElementVector = <<
121 std::size_t nelm = material->GetNumberOfEl <<
122 <<
123 for (std::size_t j=0; j<nelm; ++j) <<
124 { <<
125 G4int Z = (G4int)(*theElementVector)[j <<
126 if(Z < 1) { Z = 1; } <<
127 else if(Z > maxZ) { Z = maxZ; } <<
128 if(!data[Z]) { ReadData(Z, path); } <<
129 } <<
130 } <<
131 } <<
132 if(isInitialised) { return; } <<
133 fParticleChange = GetParticleChangeForGamma( <<
134 isInitialised = true; <<
135 } <<
136 <<
137 //....oooOO0OOooo........oooOO0OOooo........oo <<
138 91
139 void G4LivermorePolarizedGammaConversionModel: << 92 if (crossSectionHandler)
140 const G4ParticleDefinition*, G4VEmModel* << 93 {
141 { << 94 crossSectionHandler->Clear();
142 SetElementSelectors(masterModel->GetElementS << 95 delete crossSectionHandler;
143 } << 96 }
144 97
145 //....oooOO0OOooo........oooOO0OOooo........oo << 98 // Energy limits
>> 99 /*
>> 100 // V.Ivanchenko: this was meanless check
>> 101 if (LowEnergyLimit() < lowEnergyLimit)
>> 102 {
>> 103 G4cout << "G4LivermorePolarizedGammaConversionModel: low energy limit increased from " <<
>> 104 LowEnergyLimit()/eV << " eV to " << lowEnergyLimit << " eV" << G4endl;
>> 105 // SetLowEnergyLimit(lowEnergyLimit);
>> 106 }
>> 107 */
>> 108 if (HighEnergyLimit() > highEnergyLimit)
>> 109 {
>> 110 G4cout << "G4LivermorePolarizedGammaConversionModel: high energy limit decreased from " <<
>> 111 HighEnergyLimit()/GeV << " GeV to " << highEnergyLimit << " GeV" << G4endl;
>> 112 // V.Ivanchenko: this is forbidden
>> 113 // SetHighEnergyLimit(highEnergyLimit);
>> 114 }
>> 115
>> 116 // Reading of data files - all materials are read
>> 117
>> 118 crossSectionHandler = new G4CrossSectionHandler;
>> 119 crossSectionHandler->Clear();
>> 120 G4String crossSectionFile = "pair/pp-cs-";
>> 121 crossSectionHandler->LoadData(crossSectionFile);
146 122
147 G4double G4LivermorePolarizedGammaConversionMo << 123 //
148 const G4ParticleDefinition*, G4doub << 124 if (verboseLevel > 2) {
149 { << 125 G4cout << "Loaded cross section files for Livermore Polarized GammaConversion model"
150 return lowEnergyLimit; << 126 << G4endl;
151 } << 127 }
>> 128 InitialiseElementSelectors(particle,cuts);
152 129
153 //....oooOO0OOooo........oooOO0OOooo........oo << 130 if(verboseLevel > 0) {
>> 131 G4cout << "Livermore Polarized GammaConversion model is initialized " << G4endl
>> 132 << "Energy range: "
>> 133 << LowEnergyLimit() / keV << " keV - "
>> 134 << HighEnergyLimit() / GeV << " GeV"
>> 135 << G4endl;
>> 136 }
154 137
155 void G4LivermorePolarizedGammaConversionModel: << 138 //
156 { << 139 if(!isInitialised) {
157 if (verboseLevel > 1) << 140 isInitialised = true;
158 { << 141 fParticleChange = GetParticleChangeForGamma();
159 G4cout << "Calling ReadData() of G4Liver << 142 }
160 << G4endl; <<
161 } <<
162 <<
163 if(data[Z]) { return; } <<
164 <<
165 const char* datadir = path; <<
166 <<
167 if(!datadir) <<
168 { <<
169 datadir = G4FindDataDir("G4LEDATA"); <<
170 if(!datadir) <<
171 { <<
172 G4Exception("G4LivermorePolarizedGammaConv <<
173 "em0006",FatalException, <<
174 "Environment variable G4LEDATA not d <<
175 return; <<
176 } <<
177 } <<
178 // <<
179 data[Z] = new G4PhysicsFreeVector(0,/*spline <<
180 // <<
181 std::ostringstream ost; <<
182 ost << datadir << "/livermore/pair/pp-cs-" < <<
183 std::ifstream fin(ost.str().c_str()); <<
184 <<
185 if( !fin.is_open()) <<
186 { <<
187 G4ExceptionDescription ed; <<
188 ed << "G4LivermorePolarizedGammaConversi <<
189 << "> is not opened!" << G4endl; <<
190 G4Exception("G4LivermorePolarizedGammaCo <<
191 "em0003",FatalException, <<
192 ed,"G4LEDATA version should be G4EMLOW6. <<
193 return; <<
194 } <<
195 else <<
196 { <<
197 <<
198 if(verboseLevel > 3) { G4cout << "File " <<
199 << " is opened by G4LivermorePolar <<
200 <<
201 data[Z]->Retrieve(fin, true); <<
202 } <<
203 <<
204 // Activation of spline interpolation <<
205 data[Z]->FillSecondDerivatives(); <<
206 <<
207 } 143 }
208 144
209 //....oooOO0OOooo........oooOO0OOooo........oo 145 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
210 146
211 G4double G4LivermorePolarizedGammaConversionMo 147 G4double G4LivermorePolarizedGammaConversionModel::ComputeCrossSectionPerAtom(
212 const G 148 const G4ParticleDefinition*,
213 G4double GammaEnergy, 149 G4double GammaEnergy,
214 G4double Z, G4double, 150 G4double Z, G4double,
215 G4double, G4double) 151 G4double, G4double)
216 { 152 {
217 if (verboseLevel > 1) { << 153 if (verboseLevel > 3) {
218 G4cout << "G4LivermorePolarizedGammaConver 154 G4cout << "G4LivermorePolarizedGammaConversionModel::ComputeCrossSectionPerAtom()"
219 << G4endl; 155 << G4endl;
220 } 156 }
221 if (GammaEnergy < lowEnergyLimit) { return 0 << 157 if(Z < 0.9 || GammaEnergy <= lowEnergyLimit) { return 0.0; }
222 << 158 G4double cs = crossSectionHandler->FindValue(G4int(Z), GammaEnergy);
223 G4double xs = 0.0; << 159 return cs;
224 <<
225 G4int intZ=G4int(Z); <<
226 <<
227 if(intZ < 1 || intZ > maxZ) { return xs; } <<
228 <<
229 G4PhysicsFreeVector* pv = data[intZ]; <<
230 <<
231 // if element was not initialised <<
232 // do initialisation safely for MT mode <<
233 if(!pv) <<
234 { <<
235 InitialiseForElement(0, intZ); <<
236 pv = data[intZ]; <<
237 if(!pv) { return xs; } <<
238 } <<
239 // x-section is taken from the table <<
240 xs = pv->Value(GammaEnergy); <<
241 <<
242 if(verboseLevel > 0) <<
243 { <<
244 G4int n = G4int(pv->GetVectorLength() - <<
245 G4cout << "****** DEBUG: tcs value for <<
246 << GammaEnergy/MeV << G4endl; <<
247 G4cout << " cs (Geant4 internal unit) <<
248 G4cout << " -> first cs value in EA <<
249 G4cout << " -> last cs value in EA <<
250 G4cout << "*************************** <<
251 } <<
252 <<
253 return xs; <<
254 } 160 }
255 161
256 //....oooOO0OOooo........oooOO0OOooo........oo 162 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
257 163
258 void 164 void
259 G4LivermorePolarizedGammaConversionModel::Samp 165 G4LivermorePolarizedGammaConversionModel::SampleSecondaries(std::vector<G4DynamicParticle*>* fvect,
260 const G4MaterialCutsCouple* 166 const G4MaterialCutsCouple* couple,
261 const G4DynamicParticle* aDy 167 const G4DynamicParticle* aDynamicGamma,
262 G4double, 168 G4double,
263 G4double) 169 G4double)
264 { 170 {
265 171
266 // Fluorescence generated according to: 172 // Fluorescence generated according to:
267 // J. Stepanek ,"A program to determine the 173 // J. Stepanek ,"A program to determine the radiation spectra due to a single atomic
268 // subshell ionisation by a particle or due 174 // subshell ionisation by a particle or due to deexcitation or decay of radionuclides",
269 // Comp. Phys. Comm. 1206 pp 1-1-9 (1997) 175 // Comp. Phys. Comm. 1206 pp 1-1-9 (1997)
>> 176
270 if (verboseLevel > 3) 177 if (verboseLevel > 3)
271 G4cout << "Calling SampleSecondaries() of 178 G4cout << "Calling SampleSecondaries() of G4LivermorePolarizedGammaConversionModel" << G4endl;
272 179
273 G4double photonEnergy = aDynamicGamma->GetKi 180 G4double photonEnergy = aDynamicGamma->GetKineticEnergy();
>> 181 // Within energy limit?
274 182
275 if(photonEnergy <= lowEnergyLimit) 183 if(photonEnergy <= lowEnergyLimit)
276 { 184 {
277 fParticleChange->ProposeTrackStatus(fSto 185 fParticleChange->ProposeTrackStatus(fStopAndKill);
278 fParticleChange->SetProposedKineticEnerg 186 fParticleChange->SetProposedKineticEnergy(0.);
279 return; 187 return;
280 } 188 }
281 189
>> 190
282 G4ThreeVector gammaPolarization0 = aDynamicG 191 G4ThreeVector gammaPolarization0 = aDynamicGamma->GetPolarization();
283 G4ThreeVector gammaDirection0 = aDynamicGamm 192 G4ThreeVector gammaDirection0 = aDynamicGamma->GetMomentumDirection();
284 193
285 // Make sure that the polarization vector is 194 // Make sure that the polarization vector is perpendicular to the
286 // gamma direction. If not 195 // gamma direction. If not
>> 196
287 if(!(gammaPolarization0.isOrthogonal(gammaDi 197 if(!(gammaPolarization0.isOrthogonal(gammaDirection0, 1e-6))||(gammaPolarization0.mag()==0))
288 { // only for testing now 198 { // only for testing now
289 gammaPolarization0 = GetRandomPolarizati 199 gammaPolarization0 = GetRandomPolarization(gammaDirection0);
290 } 200 }
291 else 201 else
292 { 202 {
293 if ( gammaPolarization0.howOrthogonal(ga 203 if ( gammaPolarization0.howOrthogonal(gammaDirection0) != 0)
294 { 204 {
295 gammaPolarization0 = GetPerpendicularPolar 205 gammaPolarization0 = GetPerpendicularPolarization(gammaDirection0, gammaPolarization0);
296 } 206 }
297 } 207 }
298 208
299 // End of Protection 209 // End of Protection
300 210
>> 211
301 G4double epsilon ; 212 G4double epsilon ;
302 G4double epsilon0Local = electron_mass_c2 / << 213 G4double epsilon0 = electron_mass_c2 / photonEnergy ;
303 214
304 // Do it fast if photon energy < 2. MeV 215 // Do it fast if photon energy < 2. MeV
305 216
306 if (photonEnergy < smallEnergy ) 217 if (photonEnergy < smallEnergy )
307 { 218 {
308 epsilon = epsilon0Local + (0.5 - epsilon << 219 epsilon = epsilon0 + (0.5 - epsilon0) * G4UniformRand();
309 } 220 }
310 else 221 else
311 { 222 {
312 // Select randomly one element in the cu << 223
>> 224 // Select randomly one element in the current material
>> 225
>> 226 // G4int Z = crossSectionHandler->SelectRandomAtom(couple,photonEnergy);
>> 227 //const G4Element* element = crossSectionHandler->SelectRandomElement(couple,photonEnergy);
>> 228
313 const G4ParticleDefinition* particle = 229 const G4ParticleDefinition* particle = aDynamicGamma->GetDefinition();
314 const G4Element* element = SelectRandomA 230 const G4Element* element = SelectRandomAtom(couple,particle,photonEnergy);
315 << 231
316 if (element == nullptr) << 232 /*
>> 233 if (element == 0)
317 { 234 {
318 G4cout << "G4LivermorePolarizedGamma << 235 G4cout << "G4LivermorePolarizedGammaConversionModel::PostStepDoIt - element = 0" << G4endl;
319 return; <<
320 } 236 }
>> 237 */
321 238
>> 239 G4IonisParamElm* ionisation = element->GetIonisation();
322 240
323 G4IonisParamElm* ionisation = element->G << 241 /*
324 if (ionisation == nullptr) << 242 if (ionisation == 0)
325 { 243 {
326 G4cout << "G4LivermorePolarizedGamma << 244 G4cout << "G4LivermorePolarizedGammaConversionModel::PostStepDoIt - ionisation = 0" << G4endl;
327 return; <<
328 } 245 }
329 << 246 */
>> 247
>> 248
330 // Extract Coulomb factor for this Eleme 249 // Extract Coulomb factor for this Element
>> 250
331 G4double fZ = 8. * (ionisation->GetlogZ3 251 G4double fZ = 8. * (ionisation->GetlogZ3());
332 if (photonEnergy > 50. * MeV) fZ += 8. * 252 if (photonEnergy > 50. * MeV) fZ += 8. * (element->GetfCoulomb());
333 253
334 // Limits of the screening variable 254 // Limits of the screening variable
335 G4double screenFactor = 136. * epsilon0L << 255 G4double screenFactor = 136. * epsilon0 / (element->GetIonisation()->GetZ3()) ;
336 G4double screenMax = G4Exp ((42.24 - fZ) << 256 G4double screenMax = exp ((42.24 - fZ)/8.368) - 0.952 ;
337 G4double screenMin = std::min(4.*screenF 257 G4double screenMin = std::min(4.*screenFactor,screenMax) ;
338 258
339 // Limits of the energy sampling 259 // Limits of the energy sampling
340 G4double epsilon1 = 0.5 - 0.5 * sqrt(1. 260 G4double epsilon1 = 0.5 - 0.5 * sqrt(1. - screenMin / screenMax) ;
341 G4double epsilonMin = std::max(epsilon0L << 261 G4double epsilonMin = std::max(epsilon0,epsilon1);
342 G4double epsilonRange = 0.5 - epsilonMin 262 G4double epsilonRange = 0.5 - epsilonMin ;
343 263
344 // Sample the energy rate of the created 264 // Sample the energy rate of the created electron (or positron)
345 G4double screen; 265 G4double screen;
346 G4double gReject ; 266 G4double gReject ;
347 267
348 G4double f10 = ScreenFunction1(screenMin 268 G4double f10 = ScreenFunction1(screenMin) - fZ;
349 G4double f20 = ScreenFunction2(screenMin 269 G4double f20 = ScreenFunction2(screenMin) - fZ;
350 G4double normF1 = std::max(f10 * epsilon 270 G4double normF1 = std::max(f10 * epsilonRange * epsilonRange,0.);
351 G4double normF2 = std::max(1.5 * f20,0.) 271 G4double normF2 = std::max(1.5 * f20,0.);
352 272
353 do { 273 do {
354 if (normF1 / (normF1 + normF2) > G4Uni 274 if (normF1 / (normF1 + normF2) > G4UniformRand() )
355 { 275 {
356 epsilon = 0.5 - epsilonRange * pow 276 epsilon = 0.5 - epsilonRange * pow(G4UniformRand(), 0.3333) ;
357 screen = screenFactor / (epsilon * 277 screen = screenFactor / (epsilon * (1. - epsilon));
358 gReject = (ScreenFunction1(screen) 278 gReject = (ScreenFunction1(screen) - fZ) / f10 ;
359 } 279 }
360 else 280 else
361 { 281 {
362 epsilon = epsilonMin + epsilonRang 282 epsilon = epsilonMin + epsilonRange * G4UniformRand();
363 screen = screenFactor / (epsilon * 283 screen = screenFactor / (epsilon * (1 - epsilon));
364 gReject = (ScreenFunction2(screen) 284 gReject = (ScreenFunction2(screen) - fZ) / f20 ;
>> 285
>> 286
365 } 287 }
366 } while ( gReject < G4UniformRand() ); 288 } while ( gReject < G4UniformRand() );
>> 289
367 } // End of epsilon sampling 290 } // End of epsilon sampling
368 291
369 // Fix charges randomly 292 // Fix charges randomly
>> 293
370 G4double electronTotEnergy; 294 G4double electronTotEnergy;
371 G4double positronTotEnergy; 295 G4double positronTotEnergy;
372 296
373 if (G4UniformRand() > 0.5) << 297
>> 298 if (G4int(2*G4UniformRand()))
374 { 299 {
375 electronTotEnergy = (1. - epsilon) * pho 300 electronTotEnergy = (1. - epsilon) * photonEnergy;
376 positronTotEnergy = epsilon * photonEner 301 positronTotEnergy = epsilon * photonEnergy;
377 } 302 }
378 else 303 else
379 { 304 {
380 positronTotEnergy = (1. - epsilon) * pho 305 positronTotEnergy = (1. - epsilon) * photonEnergy;
381 electronTotEnergy = epsilon * photonEner 306 electronTotEnergy = epsilon * photonEnergy;
382 } 307 }
383 << 308
384 // Scattered electron (positron) angles. ( Z 309 // Scattered electron (positron) angles. ( Z - axis along the parent photon)
385 // Universal distribution suggested by L. Ur 310 // Universal distribution suggested by L. Urban (Geant3 manual (1993) Phys211),
386 // derived from Tsai distribution (Rev. Mod. 311 // derived from Tsai distribution (Rev. Mod. Phys. 49, 421 (1977)
>> 312
>> 313 /*
>> 314 G4double u;
>> 315 const G4double a1 = 0.625;
>> 316 G4double a2 = 3. * a1;
>> 317
>> 318 if (0.25 > G4UniformRand())
>> 319 {
>> 320 u = - log(G4UniformRand() * G4UniformRand()) / a1 ;
>> 321 }
>> 322 else
>> 323 {
>> 324 u = - log(G4UniformRand() * G4UniformRand()) / a2 ;
>> 325 }
>> 326 */
>> 327
387 G4double Ene = electronTotEnergy/electron_ma 328 G4double Ene = electronTotEnergy/electron_mass_c2; // Normalized energy
388 329
389 G4double cosTheta = 0.; 330 G4double cosTheta = 0.;
390 G4double sinTheta = 0.; 331 G4double sinTheta = 0.;
391 332
392 SetTheta(&cosTheta,&sinTheta,Ene); 333 SetTheta(&cosTheta,&sinTheta,Ene);
>> 334
>> 335 // G4double theta = u * electron_mass_c2 / photonEnergy ;
>> 336 // G4double phi = twopi * G4UniformRand() ;
>> 337
393 G4double phi,psi=0.; 338 G4double phi,psi=0.;
394 339
395 //corrected e+ e- angular angular distributi 340 //corrected e+ e- angular angular distribution //preliminary!
>> 341
>> 342 // if(photonEnergy>50*MeV)
>> 343 // {
396 phi = SetPhi(photonEnergy); 344 phi = SetPhi(photonEnergy);
397 psi = SetPsi(photonEnergy,phi); 345 psi = SetPsi(photonEnergy,phi);
>> 346 // }
>> 347 //else
>> 348 // {
>> 349 //psi = G4UniformRand()*2.*pi;
>> 350 //phi = pi; // coplanar
>> 351 // }
>> 352
398 Psi = psi; 353 Psi = psi;
399 Phi = phi; 354 Phi = phi;
>> 355 //G4cout << "PHI " << phi << G4endl;
>> 356 //G4cout << "PSI " << psi << G4endl;
400 357
401 G4double phie, phip; << 358 G4double phie = psi; //azimuthal angle for the electron
402 G4double choice, choice2; <<
403 choice = G4UniformRand(); <<
404 choice2 = G4UniformRand(); <<
405 359
406 if (choice2 <= 0.5) <<
407 { <<
408 // do nothing <<
409 // phi = phi; <<
410 } <<
411 else <<
412 { <<
413 phi = -phi; <<
414 } <<
415 <<
416 if (choice <= 0.5) <<
417 { <<
418 phie = psi; //azimuthal angle for the el <<
419 phip = phie+phi; //azimuthal angle for t <<
420 } <<
421 else <<
422 { <<
423 // opzione 1 phie / phip equivalenti <<
424 phip = psi; //azimuthal angle for the po <<
425 phie = phip + phi; //azimuthal angle for <<
426 } <<
427 <<
428 <<
429 // Electron Kinematics <<
430 G4double dirX = sinTheta*cos(phie); 360 G4double dirX = sinTheta*cos(phie);
431 G4double dirY = sinTheta*sin(phie); 361 G4double dirY = sinTheta*sin(phie);
432 G4double dirZ = cosTheta; 362 G4double dirZ = cosTheta;
433 G4ThreeVector electronDirection(dirX,dirY,di 363 G4ThreeVector electronDirection(dirX,dirY,dirZ);
434 <<
435 // Kinematics of the created pair: 364 // Kinematics of the created pair:
436 // the electron and positron are assumed to 365 // the electron and positron are assumed to have a symetric angular
437 // distribution with respect to the Z axis a 366 // distribution with respect to the Z axis along the parent photon
438 367
>> 368 //G4double localEnergyDeposit = 0. ;
>> 369
439 G4double electronKineEnergy = std::max(0.,el 370 G4double electronKineEnergy = std::max(0.,electronTotEnergy - electron_mass_c2) ;
440 371
441 SystemOfRefChange(gammaDirection0,electronDi 372 SystemOfRefChange(gammaDirection0,electronDirection,
442 gammaPolarization0); 373 gammaPolarization0);
443 374
444 G4DynamicParticle* particle1 = new G4Dynamic 375 G4DynamicParticle* particle1 = new G4DynamicParticle (G4Electron::Electron(),
445 electronDirection, 376 electronDirection,
446 electronKineEnergy); 377 electronKineEnergy);
447 378
448 // The e+ is always created (even with kinet 379 // The e+ is always created (even with kinetic energy = 0) for further annihilation
>> 380
449 Ene = positronTotEnergy/electron_mass_c2; // 381 Ene = positronTotEnergy/electron_mass_c2; // Normalized energy
450 382
451 cosTheta = 0.; 383 cosTheta = 0.;
452 sinTheta = 0.; 384 sinTheta = 0.;
453 385
454 SetTheta(&cosTheta,&sinTheta,Ene); 386 SetTheta(&cosTheta,&sinTheta,Ene);
>> 387 G4double phip = phie+phi; //azimuthal angle for the positron
455 388
456 // Positron Kinematics <<
457 dirX = sinTheta*cos(phip); 389 dirX = sinTheta*cos(phip);
458 dirY = sinTheta*sin(phip); 390 dirY = sinTheta*sin(phip);
459 dirZ = cosTheta; 391 dirZ = cosTheta;
460 G4ThreeVector positronDirection(dirX,dirY,di 392 G4ThreeVector positronDirection(dirX,dirY,dirZ);
461 393
462 G4double positronKineEnergy = std::max(0.,po 394 G4double positronKineEnergy = std::max(0.,positronTotEnergy - electron_mass_c2) ;
463 SystemOfRefChange(gammaDirection0,positronDi 395 SystemOfRefChange(gammaDirection0,positronDirection,
464 gammaPolarization0); 396 gammaPolarization0);
465 397
466 // Create G4DynamicParticle object for the p 398 // Create G4DynamicParticle object for the particle2
467 G4DynamicParticle* particle2 = new G4Dynamic 399 G4DynamicParticle* particle2 = new G4DynamicParticle(G4Positron::Positron(),
468 400 positronDirection, positronKineEnergy);
>> 401
>> 402
469 fvect->push_back(particle1); 403 fvect->push_back(particle1);
470 fvect->push_back(particle2); 404 fvect->push_back(particle2);
471 405
>> 406
>> 407
472 // Kill the incident photon 408 // Kill the incident photon
>> 409
>> 410
>> 411
>> 412 // Create lists of pointers to DynamicParticles (photons and electrons)
>> 413 // (Is the electron vector necessary? To be checked)
>> 414 // std::vector<G4DynamicParticle*>* photonVector = 0;
>> 415 //std::vector<G4DynamicParticle*> electronVector;
>> 416
>> 417 fParticleChange->ProposeMomentumDirection( 0., 0., 0. );
473 fParticleChange->SetProposedKineticEnergy(0. 418 fParticleChange->SetProposedKineticEnergy(0.);
474 fParticleChange->ProposeTrackStatus(fStopAnd 419 fParticleChange->ProposeTrackStatus(fStopAndKill);
>> 420
475 } 421 }
476 422
477 //....oooOO0OOooo........oooOO0OOooo........oo 423 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
478 424
479 G4double G4LivermorePolarizedGammaConversionMo 425 G4double G4LivermorePolarizedGammaConversionModel::ScreenFunction1(G4double screenVariable)
480 { 426 {
481 // Compute the value of the screening functi 427 // Compute the value of the screening function 3*phi1 - phi2
>> 428
482 G4double value; 429 G4double value;
>> 430
483 if (screenVariable > 1.) 431 if (screenVariable > 1.)
484 value = 42.24 - 8.368 * log(screenVariable 432 value = 42.24 - 8.368 * log(screenVariable + 0.952);
485 else 433 else
486 value = 42.392 - screenVariable * (7.796 - 434 value = 42.392 - screenVariable * (7.796 - 1.961 * screenVariable);
487 435
488 return value; 436 return value;
489 } 437 }
490 438
491 439
492 440
493 G4double G4LivermorePolarizedGammaConversionMo 441 G4double G4LivermorePolarizedGammaConversionModel::ScreenFunction2(G4double screenVariable)
494 { 442 {
495 // Compute the value of the screening functi 443 // Compute the value of the screening function 1.5*phi1 - 0.5*phi2
>> 444
496 G4double value; 445 G4double value;
497 446
498 if (screenVariable > 1.) 447 if (screenVariable > 1.)
499 value = 42.24 - 8.368 * log(screenVariable 448 value = 42.24 - 8.368 * log(screenVariable + 0.952);
500 else 449 else
501 value = 41.405 - screenVariable * (5.828 - 450 value = 41.405 - screenVariable * (5.828 - 0.8945 * screenVariable);
502 451
503 return value; 452 return value;
504 } 453 }
505 454
506 455
507 void G4LivermorePolarizedGammaConversionModel: 456 void G4LivermorePolarizedGammaConversionModel::SetTheta(G4double* p_cosTheta, G4double* p_sinTheta, G4double Energy)
508 { 457 {
>> 458
509 // to avoid computational errors since Theta 459 // to avoid computational errors since Theta could be very small
510 // Energy in Normalized Units (!) 460 // Energy in Normalized Units (!)
511 461
512 G4double Momentum = sqrt(Energy*Energy -1); 462 G4double Momentum = sqrt(Energy*Energy -1);
513 G4double Rand = G4UniformRand(); 463 G4double Rand = G4UniformRand();
514 464
515 *p_cosTheta = (Energy*((2*Rand)- 1) + Moment 465 *p_cosTheta = (Energy*((2*Rand)- 1) + Momentum)/((Momentum*(2*Rand-1))+Energy);
516 *p_sinTheta = (2*sqrt(Rand*(1-Rand)))/(Momen 466 *p_sinTheta = (2*sqrt(Rand*(1-Rand)))/(Momentum*(2*Rand-1)+Energy);
517 } 467 }
518 468
519 469
520 470
521 G4double G4LivermorePolarizedGammaConversionMo 471 G4double G4LivermorePolarizedGammaConversionModel::SetPhi(G4double Energy)
522 { 472 {
>> 473
>> 474
523 G4double value = 0.; 475 G4double value = 0.;
524 G4double Ene = Energy/MeV; 476 G4double Ene = Energy/MeV;
525 477
526 G4double pl[4]; 478 G4double pl[4];
>> 479
>> 480
527 G4double pt[2]; 481 G4double pt[2];
528 G4double xi = 0; 482 G4double xi = 0;
529 G4double xe = 0.; 483 G4double xe = 0.;
530 G4double n1=0.; 484 G4double n1=0.;
531 G4double n2=0.; 485 G4double n2=0.;
532 486
>> 487
533 if (Ene>=50.) 488 if (Ene>=50.)
534 { 489 {
535 const G4double ay0=5.6, by0=18.6, aa0=2. 490 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 491 const G4double aw = 0.0151, bw = 10.7, cw = -410.;
537 492
538 const G4double axc = 3.1455, bxc = -1.11 493 const G4double axc = 3.1455, bxc = -1.11, cxc = 310.;
539 494
540 pl[0] = Fln(ay0,by0,Ene); 495 pl[0] = Fln(ay0,by0,Ene);
541 pl[1] = aa0 + ba0*(Ene); 496 pl[1] = aa0 + ba0*(Ene);
542 pl[2] = Poli(aw,bw,cw,Ene); 497 pl[2] = Poli(aw,bw,cw,Ene);
543 pl[3] = Poli(axc,bxc,cxc,Ene); 498 pl[3] = Poli(axc,bxc,cxc,Ene);
544 499
545 const G4double abf = 3.1216, bbf = 2.68; 500 const G4double abf = 3.1216, bbf = 2.68;
546 pt[0] = -1.4; 501 pt[0] = -1.4;
547 pt[1] = abf + bbf/Ene; 502 pt[1] = abf + bbf/Ene;
548 503
>> 504
>> 505
>> 506 //G4cout << "PL > 50. "<< pl[0] << " " << pl[1] << " " << pl[2] << " " <<pl[3] << " " << G4endl;
>> 507
549 xi = 3.0; 508 xi = 3.0;
550 xe = Encu(pl,pt,xi); 509 xe = Encu(pl,pt,xi);
>> 510 //G4cout << "ENCU "<< xe << G4endl;
551 n1 = Fintlor(pl,pi) - Fintlor(pl,xe); 511 n1 = Fintlor(pl,pi) - Fintlor(pl,xe);
552 n2 = Finttan(pt,xe) - Finttan(pt,0.); 512 n2 = Finttan(pt,xe) - Finttan(pt,0.);
553 } 513 }
554 else 514 else
555 { 515 {
556 const G4double ay0=0.144, by0=0.11; 516 const G4double ay0=0.144, by0=0.11;
557 const G4double aa0=2.7, ba0 = 2.74; 517 const G4double aa0=2.7, ba0 = 2.74;
558 const G4double aw = 0.21, bw = 10.8, cw 518 const G4double aw = 0.21, bw = 10.8, cw = -58.;
559 const G4double axc = 3.17, bxc = -0.87, 519 const G4double axc = 3.17, bxc = -0.87, cxc = -6.;
560 520
561 pl[0] = Fln(ay0, by0, Ene); 521 pl[0] = Fln(ay0, by0, Ene);
562 pl[1] = Fln(aa0, ba0, Ene); 522 pl[1] = Fln(aa0, ba0, Ene);
563 pl[2] = Poli(aw,bw,cw,Ene); 523 pl[2] = Poli(aw,bw,cw,Ene);
564 pl[3] = Poli(axc,bxc,cxc,Ene); 524 pl[3] = Poli(axc,bxc,cxc,Ene);
565 525
>> 526 //G4cout << "PL < 50."<< pl[0] << " " << pl[1] << " " << pl[2] << " " <<pl[3] << " " << G4endl;
>> 527 //G4cout << "ENCU "<< xe << G4endl;
566 n1 = Fintlor(pl,pi) - Fintlor(pl,xe); 528 n1 = Fintlor(pl,pi) - Fintlor(pl,xe);
>> 529
567 } 530 }
568 531
569 532
570 G4double n=0.; 533 G4double n=0.;
571 n = n1+n2; 534 n = n1+n2;
572 535
573 G4double c1 = 0.; 536 G4double c1 = 0.;
574 c1 = Glor(pl, xe); 537 c1 = Glor(pl, xe);
575 538
>> 539 /*
>> 540 G4double xm = 0.;
>> 541 xm = Flor(pl,pl[3])*Glor(pl,pl[3]);
>> 542 */
>> 543
576 G4double r1,r2,r3; 544 G4double r1,r2,r3;
577 G4double xco=0.; 545 G4double xco=0.;
578 546
579 if (Ene>=50.) 547 if (Ene>=50.)
580 { 548 {
581 r1= G4UniformRand(); 549 r1= G4UniformRand();
582 if( r1>=n2/n) 550 if( r1>=n2/n)
583 { 551 {
584 do 552 do
585 { 553 {
586 r2 = G4UniformRand(); 554 r2 = G4UniformRand();
587 value = Finvlor(pl,xe,r2); 555 value = Finvlor(pl,xe,r2);
588 xco = Glor(pl,value)/c1; 556 xco = Glor(pl,value)/c1;
589 r3 = G4UniformRand(); 557 r3 = G4UniformRand();
590 } while(r3>=xco); 558 } while(r3>=xco);
591 } 559 }
592 else 560 else
593 { 561 {
594 value = Finvtan(pt,n,r1); 562 value = Finvtan(pt,n,r1);
595 } 563 }
596 } 564 }
597 else 565 else
598 { 566 {
599 do 567 do
600 { 568 {
601 r2 = G4UniformRand(); 569 r2 = G4UniformRand();
602 value = Finvlor(pl,xe,r2); 570 value = Finvlor(pl,xe,r2);
603 xco = Glor(pl,value)/c1; 571 xco = Glor(pl,value)/c1;
604 r3 = G4UniformRand(); 572 r3 = G4UniformRand();
605 } while(r3>=xco); 573 } while(r3>=xco);
606 } 574 }
>> 575
>> 576 // G4cout << "PHI = " <<value << G4endl;
607 return value; 577 return value;
608 } 578 }
609 << 579 G4double G4LivermorePolarizedGammaConversionModel::SetPsi(G4double Energy, G4double Phi)
610 //....oooOO0OOooo........oooOO0OOooo........oo <<
611 <<
612 G4double G4LivermorePolarizedGammaConversionMo <<
613 { 580 {
>> 581
614 G4double value = 0.; 582 G4double value = 0.;
615 G4double Ene = Energy/MeV; 583 G4double Ene = Energy/MeV;
616 584
617 G4double p0l[4]; 585 G4double p0l[4];
618 G4double ppml[4]; 586 G4double ppml[4];
619 G4double p0t[2]; 587 G4double p0t[2];
620 G4double ppmt[2]; 588 G4double ppmt[2];
621 589
622 G4double xi = 0.; 590 G4double xi = 0.;
623 G4double xe0 = 0.; 591 G4double xe0 = 0.;
624 G4double xepm = 0.; 592 G4double xepm = 0.;
625 593
626 if (Ene>=50.) 594 if (Ene>=50.)
627 { 595 {
628 const G4double ay00 = 3.4, by00 = 9.8, a 596 const G4double ay00 = 3.4, by00 = 9.8, aa00 = 1.34, ba00 = 5.3;
629 const G4double aw0 = 0.014, bw0 = 9.7, c 597 const G4double aw0 = 0.014, bw0 = 9.7, cw0 = -2.E4;
630 const G4double axc0 = 3.1423, bxc0 = -2. 598 const G4double axc0 = 3.1423, bxc0 = -2.35, cxc0 = 0.;
631 const G4double ay0p = 1.53, by0p = 3.2, 599 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, 600 const G4double awp = 6.9E-3, bwp = 12.6, cwp = -3.8E4;
633 const G4double axcp = 2.8E-3,bxcp = -3.1 601 const G4double axcp = 2.8E-3,bxcp = -3.133;
634 const G4double abf0 = 3.1213, bbf0 = 2.6 602 const G4double abf0 = 3.1213, bbf0 = 2.61;
635 const G4double abfpm = 3.1231, bbfpm = 2 603 const G4double abfpm = 3.1231, bbfpm = 2.84;
636 604
637 p0l[0] = Fln(ay00, by00, Ene); 605 p0l[0] = Fln(ay00, by00, Ene);
638 p0l[1] = Fln(aa00, ba00, Ene); 606 p0l[1] = Fln(aa00, ba00, Ene);
639 p0l[2] = Poli(aw0, bw0, cw0, Ene); 607 p0l[2] = Poli(aw0, bw0, cw0, Ene);
640 p0l[3] = Poli(axc0, bxc0, cxc0, Ene); 608 p0l[3] = Poli(axc0, bxc0, cxc0, Ene);
641 609
642 ppml[0] = Fln(ay0p, by0p, Ene); 610 ppml[0] = Fln(ay0p, by0p, Ene);
643 ppml[1] = aap + bap*(Ene); 611 ppml[1] = aap + bap*(Ene);
644 ppml[2] = Poli(awp, bwp, cwp, Ene); 612 ppml[2] = Poli(awp, bwp, cwp, Ene);
645 ppml[3] = Fln(axcp,bxcp,Ene); 613 ppml[3] = Fln(axcp,bxcp,Ene);
646 614
647 p0t[0] = -0.81; 615 p0t[0] = -0.81;
648 p0t[1] = abf0 + bbf0/Ene; 616 p0t[1] = abf0 + bbf0/Ene;
649 ppmt[0] = -0.6; 617 ppmt[0] = -0.6;
650 ppmt[1] = abfpm + bbfpm/Ene; 618 ppmt[1] = abfpm + bbfpm/Ene;
651 619
>> 620 //G4cout << "P0L > 50"<< p0l[0] << " " << p0l[1] << " " << p0l[2] << " " <<p0l[3] << " " << G4endl;
>> 621 //G4cout << "PPML > 50"<< ppml[0] << " " << ppml[1] << " " << ppml[2] << " " <<ppml[3] << " " << G4endl;
>> 622
652 xi = 3.0; 623 xi = 3.0;
653 xe0 = Encu(p0l, p0t, xi); 624 xe0 = Encu(p0l, p0t, xi);
>> 625 //G4cout << "ENCU1 "<< xe0 << G4endl;
654 xepm = Encu(ppml, ppmt, xi); 626 xepm = Encu(ppml, ppmt, xi);
>> 627 //G4cout << "ENCU2 "<< xepm << G4endl;
655 } 628 }
656 else 629 else
657 { 630 {
658 const G4double ay00 = 2.82, by00 = 6.35; 631 const G4double ay00 = 2.82, by00 = 6.35;
659 const G4double aa00 = -1.75, ba00 = 0.25 632 const G4double aa00 = -1.75, ba00 = 0.25;
660 633
661 const G4double aw0 = 0.028, bw0 = 5., cw 634 const G4double aw0 = 0.028, bw0 = 5., cw0 = -50.;
662 const G4double axc0 = 3.14213, bxc0 = -2 635 const G4double axc0 = 3.14213, bxc0 = -2.3, cxc0 = 5.7;
663 const G4double ay0p = 1.56, by0p = 3.6; 636 const G4double ay0p = 1.56, by0p = 3.6;
664 const G4double aap = 0.86, bap = 8.3E-3; 637 const G4double aap = 0.86, bap = 8.3E-3;
665 const G4double awp = 0.022, bwp = 7.4, c 638 const G4double awp = 0.022, bwp = 7.4, cwp = -51.;
666 const G4double xcp = 3.1486; 639 const G4double xcp = 3.1486;
667 640
668 p0l[0] = Fln(ay00, by00, Ene); 641 p0l[0] = Fln(ay00, by00, Ene);
669 p0l[1] = aa00+pow(Ene, ba00); 642 p0l[1] = aa00+pow(Ene, ba00);
670 p0l[2] = Poli(aw0, bw0, cw0, Ene); 643 p0l[2] = Poli(aw0, bw0, cw0, Ene);
671 p0l[3] = Poli(axc0, bxc0, cxc0, Ene); 644 p0l[3] = Poli(axc0, bxc0, cxc0, Ene);
672 ppml[0] = Fln(ay0p, by0p, Ene); 645 ppml[0] = Fln(ay0p, by0p, Ene);
673 ppml[1] = aap + bap*(Ene); 646 ppml[1] = aap + bap*(Ene);
674 ppml[2] = Poli(awp, bwp, cwp, Ene); 647 ppml[2] = Poli(awp, bwp, cwp, Ene);
675 ppml[3] = xcp; 648 ppml[3] = xcp;
>> 649
676 } 650 }
677 651
678 G4double a,b=0.; 652 G4double a,b=0.;
679 653
680 if (Ene>=50.) 654 if (Ene>=50.)
681 { 655 {
682 if (PhiLocal>xepm) << 656 if (Phi>xepm)
683 { 657 {
684 b = (ppml[0]+2*ppml[1]*ppml[2]*Flor( << 658 b = (ppml[0]+2*ppml[1]*ppml[2]*Flor(ppml,Phi));
685 } 659 }
686 else 660 else
687 { 661 {
688 b = Ftan(ppmt,PhiLocal); << 662 b = Ftan(ppmt,Phi);
689 } 663 }
690 if (PhiLocal>xe0) << 664 if (Phi>xe0)
691 { 665 {
692 a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l << 666 a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l,Phi));
693 } 667 }
694 else 668 else
695 { 669 {
696 a = Ftan(p0t,PhiLocal); << 670 a = Ftan(p0t,Phi);
697 } 671 }
698 } 672 }
699 else 673 else
700 { 674 {
701 b = (ppml[0]+2*ppml[1]*ppml[2]*Flor(ppml << 675 b = (ppml[0]+2*ppml[1]*ppml[2]*Flor(ppml,Phi));
702 a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l,Phi << 676 a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l,Phi));
703 } 677 }
704 G4double nr =0.; 678 G4double nr =0.;
705 679
706 if (b>a) 680 if (b>a)
707 { 681 {
708 nr = 1./b; 682 nr = 1./b;
709 } 683 }
710 else 684 else
711 { 685 {
712 nr = 1./a; 686 nr = 1./a;
713 } 687 }
714 688
715 G4double r1,r2=0.; 689 G4double r1,r2=0.;
716 G4double r3 =-1.; 690 G4double r3 =-1.;
717 do 691 do
718 { 692 {
719 r1 = G4UniformRand(); 693 r1 = G4UniformRand();
720 r2 = G4UniformRand(); 694 r2 = G4UniformRand();
721 //value = r2*pi; << 695 value = r2*pi;
722 value = 2.*r2*pi; <<
723 r3 = nr*(a*cos(value)*cos(value) + b*sin 696 r3 = nr*(a*cos(value)*cos(value) + b*sin(value)*sin(value));
724 }while(r1>r3); 697 }while(r1>r3);
725 698
726 return value; 699 return value;
727 } 700 }
728 701
729 //....oooOO0OOooo........oooOO0OOooo........oo <<
730 702
731 G4double G4LivermorePolarizedGammaConversionMo 703 G4double G4LivermorePolarizedGammaConversionModel::Poli
732 (G4double a, G4double b, G4double c, G4double 704 (G4double a, G4double b, G4double c, G4double x)
733 { 705 {
734 G4double value=0.; 706 G4double value=0.;
735 if(x>0.) 707 if(x>0.)
736 { 708 {
737 value =(a + b/x + c/(x*x*x)); 709 value =(a + b/x + c/(x*x*x));
738 } 710 }
739 else 711 else
740 { 712 {
741 //G4cout << "ERROR in Poli! " << G4endl; 713 //G4cout << "ERROR in Poli! " << G4endl;
742 } 714 }
743 return value; 715 return value;
744 } 716 }
745 <<
746 //....oooOO0OOooo........oooOO0OOooo........oo <<
747 <<
748 G4double G4LivermorePolarizedGammaConversionMo 717 G4double G4LivermorePolarizedGammaConversionModel::Fln
749 (G4double a, G4double b, G4double x) 718 (G4double a, G4double b, G4double x)
750 { 719 {
751 G4double value=0.; 720 G4double value=0.;
752 if(x>0.) 721 if(x>0.)
753 { 722 {
754 value =(a*log(x)-b); 723 value =(a*log(x)-b);
755 } 724 }
756 else 725 else
757 { 726 {
758 //G4cout << "ERROR in Fln! " << G4endl; 727 //G4cout << "ERROR in Fln! " << G4endl;
759 } 728 }
760 return value; 729 return value;
761 } 730 }
762 731
763 //....oooOO0OOooo........oooOO0OOooo........oo <<
764 732
765 G4double G4LivermorePolarizedGammaConversionMo 733 G4double G4LivermorePolarizedGammaConversionModel::Encu
766 (G4double* p_p1, G4double* p_p2, G4double x0) 734 (G4double* p_p1, G4double* p_p2, G4double x0)
767 { 735 {
768 G4int i=0; 736 G4int i=0;
769 G4double fx = 1.; 737 G4double fx = 1.;
770 G4double x = x0; 738 G4double x = x0;
771 const G4double xmax = 3.0; 739 const G4double xmax = 3.0;
772 740
773 for(i=0; i<100; ++i) 741 for(i=0; i<100; ++i)
774 { 742 {
775 fx = (Flor(p_p1,x)*Glor(p_p1,x) - Ftan(p 743 fx = (Flor(p_p1,x)*Glor(p_p1,x) - Ftan(p_p2, x))/
776 (Fdlor(p_p1,x) - Fdtan(p_p2,x)); 744 (Fdlor(p_p1,x) - Fdtan(p_p2,x));
777 x -= fx; 745 x -= fx;
778 if(x > xmax) { return xmax; } 746 if(x > xmax) { return xmax; }
>> 747 // x -= (Flor(p_p1, x)*Glor(p_p1,x) - Ftan(p_p2, x))/
>> 748 // (Fdlor(p_p1,x) - Fdtan(p_p2,x));
>> 749 // fx = Flor(p_p1,x)*Glor(p_p1,x) - Ftan(p_p2, x);
>> 750 // G4cout << std::fabs(fx) << " " << i << " " << x << "dentro ENCU " << G4endl;
779 if(std::fabs(fx) <= x*1.0e-6) { break; } 751 if(std::fabs(fx) <= x*1.0e-6) { break; }
780 } 752 }
781 753
782 if(x < 0.0) { x = 0.0; } 754 if(x < 0.0) { x = 0.0; }
783 return x; 755 return x;
784 } 756 }
785 757
786 //....oooOO0OOooo........oooOO0OOooo........oo <<
787 758
788 G4double G4LivermorePolarizedGammaConversionMo 759 G4double G4LivermorePolarizedGammaConversionModel::Flor(G4double* p_p1, G4double x)
789 { 760 {
790 G4double value =0.; 761 G4double value =0.;
>> 762 // G4double y0 = p_p1[0];
>> 763 // G4double A = p_p1[1];
791 G4double w = p_p1[2]; 764 G4double w = p_p1[2];
792 G4double xc = p_p1[3]; 765 G4double xc = p_p1[3];
793 766
794 value = 1./(pi*(w*w + 4.*(x-xc)*(x-xc))); 767 value = 1./(pi*(w*w + 4.*(x-xc)*(x-xc)));
795 return value; 768 return value;
796 } 769 }
797 770
798 //....oooOO0OOooo........oooOO0OOooo........oo <<
799 771
800 G4double G4LivermorePolarizedGammaConversionMo 772 G4double G4LivermorePolarizedGammaConversionModel::Glor(G4double* p_p1, G4double x)
801 { 773 {
802 G4double value =0.; 774 G4double value =0.;
803 G4double y0 = p_p1[0]; 775 G4double y0 = p_p1[0];
804 G4double A = p_p1[1]; 776 G4double A = p_p1[1];
805 G4double w = p_p1[2]; 777 G4double w = p_p1[2];
806 G4double xc = p_p1[3]; 778 G4double xc = p_p1[3];
807 779
808 value = (y0 *pi*(w*w + 4.*(x-xc)*(x-xc)) + 780 value = (y0 *pi*(w*w + 4.*(x-xc)*(x-xc)) + 2.*A*w);
809 return value; 781 return value;
810 } 782 }
811 783
812 //....oooOO0OOooo........oooOO0OOooo........oo <<
813 784
814 G4double G4LivermorePolarizedGammaConversionMo 785 G4double G4LivermorePolarizedGammaConversionModel::Fdlor(G4double* p_p1, G4double x)
815 { 786 {
816 G4double value =0.; 787 G4double value =0.;
>> 788 //G4double y0 = p_p1[0];
817 G4double A = p_p1[1]; 789 G4double A = p_p1[1];
818 G4double w = p_p1[2]; 790 G4double w = p_p1[2];
819 G4double xc = p_p1[3]; 791 G4double xc = p_p1[3];
820 792
821 value = (-16.*A*w*(x-xc))/ 793 value = (-16.*A*w*(x-xc))/
822 (pi*(w*w+4.*(x-xc)*(x-xc))*(w*w+4.*(x-xc)* 794 (pi*(w*w+4.*(x-xc)*(x-xc))*(w*w+4.*(x-xc)*(x-xc)));
823 return value; 795 return value;
824 } 796 }
825 797
826 //....oooOO0OOooo........oooOO0OOooo........oo <<
827 798
828 G4double G4LivermorePolarizedGammaConversionMo 799 G4double G4LivermorePolarizedGammaConversionModel::Fintlor(G4double* p_p1, G4double x)
829 { 800 {
830 G4double value =0.; 801 G4double value =0.;
831 G4double y0 = p_p1[0]; 802 G4double y0 = p_p1[0];
832 G4double A = p_p1[1]; 803 G4double A = p_p1[1];
833 G4double w = p_p1[2]; 804 G4double w = p_p1[2];
834 G4double xc = p_p1[3]; 805 G4double xc = p_p1[3];
835 806
836 value = y0*x + A*atan( 2*(x-xc)/w) / pi; 807 value = y0*x + A*atan( 2*(x-xc)/w) / pi;
837 return value; 808 return value;
838 } 809 }
839 810
840 811
841 G4double G4LivermorePolarizedGammaConversionMo 812 G4double G4LivermorePolarizedGammaConversionModel::Finvlor(G4double* p_p1, G4double x, G4double r)
842 { 813 {
843 G4double value = 0.; 814 G4double value = 0.;
844 G4double nor = 0.; 815 G4double nor = 0.;
>> 816 //G4double y0 = p_p1[0];
>> 817 // G4double A = p_p1[1];
845 G4double w = p_p1[2]; 818 G4double w = p_p1[2];
846 G4double xc = p_p1[3]; 819 G4double xc = p_p1[3];
847 820
848 nor = atan(2.*(pi-xc)/w)/(2.*pi*w) - atan(2. 821 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( 822 value = xc - (w/2.)*tan(-2.*r*nor*pi*w+atan(2*(xc-x)/w));
850 823
851 return value; 824 return value;
852 } 825 }
853 826
854 //....oooOO0OOooo........oooOO0OOooo........oo <<
855 827
856 G4double G4LivermorePolarizedGammaConversionMo 828 G4double G4LivermorePolarizedGammaConversionModel::Ftan(G4double* p_p1, G4double x)
857 { 829 {
858 G4double value =0.; 830 G4double value =0.;
859 G4double a = p_p1[0]; 831 G4double a = p_p1[0];
860 G4double b = p_p1[1]; 832 G4double b = p_p1[1];
861 833
862 value = a /(x-b); 834 value = a /(x-b);
863 return value; 835 return value;
864 } 836 }
865 837
866 //....oooOO0OOooo........oooOO0OOooo........oo <<
867 838
868 G4double G4LivermorePolarizedGammaConversionMo 839 G4double G4LivermorePolarizedGammaConversionModel::Fdtan(G4double* p_p1, G4double x)
869 { 840 {
870 G4double value =0.; 841 G4double value =0.;
871 G4double a = p_p1[0]; 842 G4double a = p_p1[0];
872 G4double b = p_p1[1]; 843 G4double b = p_p1[1];
873 844
874 value = -1.*a / ((x-b)*(x-b)); 845 value = -1.*a / ((x-b)*(x-b));
875 return value; 846 return value;
876 } 847 }
877 848
878 //....oooOO0OOooo........oooOO0OOooo........oo <<
879 849
880 G4double G4LivermorePolarizedGammaConversionMo 850 G4double G4LivermorePolarizedGammaConversionModel::Finttan(G4double* p_p1, G4double x)
881 { 851 {
882 G4double value =0.; 852 G4double value =0.;
883 G4double a = p_p1[0]; 853 G4double a = p_p1[0];
884 G4double b = p_p1[1]; 854 G4double b = p_p1[1];
885 855
>> 856
886 value = a*log(b-x); 857 value = a*log(b-x);
887 return value; 858 return value;
888 } 859 }
889 860
890 //....oooOO0OOooo........oooOO0OOooo........oo <<
891 861
892 G4double G4LivermorePolarizedGammaConversionMo 862 G4double G4LivermorePolarizedGammaConversionModel::Finvtan(G4double* p_p1, G4double cnor, G4double r)
893 { 863 {
894 G4double value =0.; 864 G4double value =0.;
895 G4double a = p_p1[0]; 865 G4double a = p_p1[0];
896 G4double b = p_p1[1]; 866 G4double b = p_p1[1];
897 867
898 value = b*(1-G4Exp(r*cnor/a)); << 868 value = b*(1-exp(r*cnor/a));
899 869
900 return value; 870 return value;
901 } 871 }
902 872
>> 873
>> 874
>> 875
903 //....oooOO0OOooo........oooOO0OOooo........oo 876 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
904 877
905 G4ThreeVector G4LivermorePolarizedGammaConvers 878 G4ThreeVector G4LivermorePolarizedGammaConversionModel::SetPerpendicularVector(G4ThreeVector& a)
906 { 879 {
907 G4double dx = a.x(); 880 G4double dx = a.x();
908 G4double dy = a.y(); 881 G4double dy = a.y();
909 G4double dz = a.z(); 882 G4double dz = a.z();
910 G4double x = dx < 0.0 ? -dx : dx; 883 G4double x = dx < 0.0 ? -dx : dx;
911 G4double y = dy < 0.0 ? -dy : dy; 884 G4double y = dy < 0.0 ? -dy : dy;
912 G4double z = dz < 0.0 ? -dz : dz; 885 G4double z = dz < 0.0 ? -dz : dz;
913 if (x < y) { 886 if (x < y) {
914 return x < z ? G4ThreeVector(-dy,dx,0) : G 887 return x < z ? G4ThreeVector(-dy,dx,0) : G4ThreeVector(0,-dz,dy);
915 }else{ 888 }else{
916 return y < z ? G4ThreeVector(dz,0,-dx) : G 889 return y < z ? G4ThreeVector(dz,0,-dx) : G4ThreeVector(-dy,dx,0);
917 } 890 }
918 } 891 }
919 892
920 //....oooOO0OOooo........oooOO0OOooo........oo 893 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
921 894
922 G4ThreeVector G4LivermorePolarizedGammaConvers 895 G4ThreeVector G4LivermorePolarizedGammaConversionModel::GetRandomPolarization(G4ThreeVector& direction0)
923 { 896 {
924 G4ThreeVector d0 = direction0.unit(); 897 G4ThreeVector d0 = direction0.unit();
925 G4ThreeVector a1 = SetPerpendicularVector(d0 898 G4ThreeVector a1 = SetPerpendicularVector(d0); //different orthogonal
926 G4ThreeVector a0 = a1.unit(); // unit vector 899 G4ThreeVector a0 = a1.unit(); // unit vector
927 900
928 G4double rand1 = G4UniformRand(); 901 G4double rand1 = G4UniformRand();
929 902
930 G4double angle = twopi*rand1; // random pola 903 G4double angle = twopi*rand1; // random polar angle
931 G4ThreeVector b0 = d0.cross(a0); // cross pr 904 G4ThreeVector b0 = d0.cross(a0); // cross product
932 905
933 G4ThreeVector c; 906 G4ThreeVector c;
934 907
935 c.setX(std::cos(angle)*(a0.x())+std::sin(ang 908 c.setX(std::cos(angle)*(a0.x())+std::sin(angle)*b0.x());
936 c.setY(std::cos(angle)*(a0.y())+std::sin(ang 909 c.setY(std::cos(angle)*(a0.y())+std::sin(angle)*b0.y());
937 c.setZ(std::cos(angle)*(a0.z())+std::sin(ang 910 c.setZ(std::cos(angle)*(a0.z())+std::sin(angle)*b0.z());
938 911
939 G4ThreeVector c0 = c.unit(); 912 G4ThreeVector c0 = c.unit();
940 913
941 return c0; << 914 return c0;
>> 915
942 } 916 }
943 917
944 //....oooOO0OOooo........oooOO0OOooo........oo 918 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
945 919
946 G4ThreeVector G4LivermorePolarizedGammaConvers 920 G4ThreeVector G4LivermorePolarizedGammaConversionModel::GetPerpendicularPolarization
947 (const G4ThreeVector& gammaDirection, const G4 921 (const G4ThreeVector& gammaDirection, const G4ThreeVector& gammaPolarization) const
948 { 922 {
>> 923
949 // 924 //
950 // The polarization of a photon is always pe 925 // The polarization of a photon is always perpendicular to its momentum direction.
951 // Therefore this function removes those vec 926 // Therefore this function removes those vector component of gammaPolarization, which
952 // points in direction of gammaDirection 927 // points in direction of gammaDirection
953 // 928 //
954 // Mathematically we search the projection o 929 // Mathematically we search the projection of the vector a on the plane E, where n is the
955 // plains normal vector. 930 // plains normal vector.
956 // The basic equation can be found in each g 931 // The basic equation can be found in each geometry book (e.g. Bronstein):
957 // p = a - (a o n)/(n o n)*n 932 // p = a - (a o n)/(n o n)*n
958 933
959 return gammaPolarization - gammaPolarization 934 return gammaPolarization - gammaPolarization.dot(gammaDirection)/gammaDirection.dot(gammaDirection) * gammaDirection;
960 } 935 }
961 936
962 //....oooOO0OOooo........oooOO0OOooo........oo 937 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
963 938
>> 939
964 void G4LivermorePolarizedGammaConversionModel: 940 void G4LivermorePolarizedGammaConversionModel::SystemOfRefChange
965 (G4ThreeVector& direction0,G4ThreeVector& 941 (G4ThreeVector& direction0,G4ThreeVector& direction1,
966 G4ThreeVector& polarization0) 942 G4ThreeVector& polarization0)
967 { 943 {
968 // direction0 is the original photon directi 944 // direction0 is the original photon direction ---> z
969 // polarization0 is the original photon pola 945 // polarization0 is the original photon polarization ---> x
970 // need to specify y axis in the real refere 946 // need to specify y axis in the real reference frame ---> y
971 G4ThreeVector Axis_Z0 = direction0.unit(); 947 G4ThreeVector Axis_Z0 = direction0.unit();
972 G4ThreeVector Axis_X0 = polarization0.unit() 948 G4ThreeVector Axis_X0 = polarization0.unit();
973 G4ThreeVector Axis_Y0 = (Axis_Z0.cross(Axis_ 949 G4ThreeVector Axis_Y0 = (Axis_Z0.cross(Axis_X0)).unit(); // to be confirmed;
974 950
975 G4double direction_x = direction1.getX(); 951 G4double direction_x = direction1.getX();
976 G4double direction_y = direction1.getY(); 952 G4double direction_y = direction1.getY();
977 G4double direction_z = direction1.getZ(); 953 G4double direction_z = direction1.getZ();
978 954
979 direction1 = (direction_x*Axis_X0 + directio << 955 direction1 = (direction_x*Axis_X0 + direction_y*Axis_Y0 + direction_z*Axis_Z0).unit();
>> 956
980 } 957 }
981 958
982 //....oooOO0OOooo........oooOO0OOooo........oo <<
983 959
984 void G4LivermorePolarizedGammaConversionModel: << 960
985 const G4ParticleDefiniti << 961
986 G4int Z) <<
987 { <<
988 G4AutoLock l(&LivermorePolarizedGammaConvers <<
989 if(!data[Z]) { ReadData(Z); } <<
990 l.unlock(); <<
991 } <<
992 962