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Geant4/processes/electromagnetic/lowenergy/src/G4LivermorePolarizedRayleighModel.cc

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Differences between /processes/electromagnetic/lowenergy/src/G4LivermorePolarizedRayleighModel.cc (Version 11.3.0) and /processes/electromagnetic/lowenergy/src/G4LivermorePolarizedRayleighModel.cc (Version 11.2)


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 25 //                                                 25 //
 26 //                                                 26 //
 27 // Author: Sebastien Incerti                       27 // Author: Sebastien Incerti
 28 //         30 October 2008                         28 //         30 October 2008
 29 //         on base of G4LowEnergyPolarizedRayl     29 //         on base of G4LowEnergyPolarizedRayleigh developed by R. Capra
 30 //                                                 30 //
 31 // History:                                        31 // History:
 32 // --------                                        32 // --------
 33 // 02 May 2009   S Incerti as V. Ivanchenko pr     33 // 02 May 2009   S Incerti as V. Ivanchenko proposed in G4LivermoreRayleighModel.cc
 34 //                                                 34 //
 35 // Cleanup initialisation and generation of se     35 // Cleanup initialisation and generation of secondaries:
 36 //                  - apply internal high-ener     36 //                  - apply internal high-energy limit only in constructor 
 37 //                  - do not apply low-energy      37 //                  - do not apply low-energy limit (default is 0)
 38 //                  - remove GetMeanFreePath m     38 //                  - remove GetMeanFreePath method and table
 39 //                  - remove initialisation of     39 //                  - remove initialisation of element selector 
 40 //                  - use G4ElementSelector        40 //                  - use G4ElementSelector
 41                                                    41 
 42 #include "G4LivermorePolarizedRayleighModel.hh     42 #include "G4LivermorePolarizedRayleighModel.hh"
 43 #include "G4PhysicalConstants.hh"                  43 #include "G4PhysicalConstants.hh"
 44 #include "G4SystemOfUnits.hh"                      44 #include "G4SystemOfUnits.hh"
 45 #include "G4LogLogInterpolation.hh"                45 #include "G4LogLogInterpolation.hh"
 46 #include "G4CompositeEMDataSet.hh"                 46 #include "G4CompositeEMDataSet.hh"
 47 #include "G4AutoLock.hh"                           47 #include "G4AutoLock.hh"
 48                                                    48 
 49 //....oooOO0OOooo........oooOO0OOooo........oo     49 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 50                                                    50 
 51 using namespace std;                               51 using namespace std;
 52 namespace { G4Mutex LivermorePolarizedRayleigh     52 namespace { G4Mutex LivermorePolarizedRayleighModelMutex = G4MUTEX_INITIALIZER; }
 53                                                    53 
 54 //....oooOO0OOooo........oooOO0OOooo........oo     54 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 55                                                    55 
 56 G4PhysicsFreeVector* G4LivermorePolarizedRayle     56 G4PhysicsFreeVector* G4LivermorePolarizedRayleighModel::dataCS[] = {nullptr};
 57 G4PhysicsFreeVector* G4LivermorePolarizedRayle     57 G4PhysicsFreeVector* G4LivermorePolarizedRayleighModel::formFactorData[] = {nullptr};
 58                                                    58 
 59 G4LivermorePolarizedRayleighModel::G4Livermore     59 G4LivermorePolarizedRayleighModel::G4LivermorePolarizedRayleighModel(const G4ParticleDefinition*,
 60                    const G4String& nam)            60                    const G4String& nam)
 61   :G4VEmModel(nam),fParticleChange(nullptr),is     61   :G4VEmModel(nam),fParticleChange(nullptr),isInitialised(false)
 62 {                                                  62 {
 63   lowEnergyLimit = 250 * CLHEP::eV;                63   lowEnergyLimit = 250 * CLHEP::eV;
 64   //                                               64   //
 65   verboseLevel= 0;                                 65   verboseLevel= 0;
 66   // Verbosity scale:                              66   // Verbosity scale:
 67   // 0 = nothing                                   67   // 0 = nothing 
 68   // 1 = warning for energy non-conservation       68   // 1 = warning for energy non-conservation 
 69   // 2 = details of energy budget                  69   // 2 = details of energy budget
 70   // 3 = calculation of cross sections, file o     70   // 3 = calculation of cross sections, file openings, sampling of atoms
 71   // 4 = entering in methods                       71   // 4 = entering in methods
 72                                                    72 
 73   if(verboseLevel > 0) {                           73   if(verboseLevel > 0) {
 74     G4cout << "Livermore Polarized Rayleigh is     74     G4cout << "Livermore Polarized Rayleigh is constructed " << G4endl
 75            << "Energy range: " << LowEnergyLim     75            << "Energy range: " << LowEnergyLimit() / CLHEP::eV << " eV - "
 76      << HighEnergyLimit() / CLHEP::GeV << " Ge     76      << HighEnergyLimit() / CLHEP::GeV << " GeV"
 77            << G4endl;                              77            << G4endl;
 78   }                                                78   }
 79 }                                                  79 }
 80                                                    80 
 81 //....oooOO0OOooo........oooOO0OOooo........oo     81 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 82                                                    82 
 83 G4LivermorePolarizedRayleighModel::~G4Livermor     83 G4LivermorePolarizedRayleighModel::~G4LivermorePolarizedRayleighModel()
 84 {                                                  84 {  
 85   if(IsMaster()) {                                 85   if(IsMaster()) {
 86     for(G4int i=0; i<maxZ; ++i) {                  86     for(G4int i=0; i<maxZ; ++i) {
 87       if(dataCS[i]) {                              87       if(dataCS[i]) { 
 88   delete dataCS[i];                                88   delete dataCS[i];
 89   dataCS[i] = nullptr;                             89   dataCS[i] = nullptr;
 90   delete formFactorData[i];                        90   delete formFactorData[i];
 91   formFactorData[i] = nullptr;                     91   formFactorData[i] = nullptr; 
 92       }                                            92       }
 93     }                                              93     }
 94   }                                                94   }
 95 }                                                  95 }
 96                                                    96 
 97 //....oooOO0OOooo........oooOO0OOooo........oo     97 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
 98                                                    98 
 99 void G4LivermorePolarizedRayleighModel::Initia     99 void G4LivermorePolarizedRayleighModel::Initialise(const G4ParticleDefinition* particle,
100                                        const G    100                                        const G4DataVector& cuts)
101 {                                                 101 {
102   // Rayleigh process:                      Th    102   // Rayleigh process:                      The Quantum Theory of Radiation
103   //                                        W.    103   //                                        W. Heitler,       Oxford at the Clarendon Press, Oxford (1954)       
104   // Scattering function:                   A     104   // Scattering function:                   A simple model of photon transport
105   //                                        D.    105   //                                        D.E. Cullen,      Nucl. Instr. Meth. in Phys. Res. B 101 (1995) 499-510               
106   // Polarization of the outcoming photon:  Be    106   // Polarization of the outcoming photon:  Beam test of a prototype detector array for the PoGO astronomical hard 
107   //                                        X-    107   //                                        X-ray/soft gamma-ray polarimeter
108   //                                        T.    108   //                                        T. Mizuno et al., Nucl. Instr. Meth. in Phys. Res. A 540 (2005) 158-168 
109   if (verboseLevel > 3)                           109   if (verboseLevel > 3)
110     G4cout << "Calling G4LivermorePolarizedRay    110     G4cout << "Calling G4LivermorePolarizedRayleighModel::Initialise()" << G4endl;
111                                                   111 
112   if(IsMaster()) {                                112   if(IsMaster()) {
113                                                   113     
114     // Initialise element selector                114     // Initialise element selector
115     InitialiseElementSelectors(particle, cuts)    115     InitialiseElementSelectors(particle, cuts);
116                                                   116     
117     // Access to elements                         117     // Access to elements
118     const char* path = G4FindDataDir("G4LEDATA    118     const char* path = G4FindDataDir("G4LEDATA");
119     auto elmTable = G4Element::GetElementTable    119     auto elmTable = G4Element::GetElementTable();
120     for (auto const & elm : *elmTable) {          120     for (auto const & elm : *elmTable) {
121       G4int Z = std::min(elm->GetZasInt(), max    121       G4int Z = std::min(elm->GetZasInt(), maxZ);
122       if( nullptr == dataCS[Z] ) { ReadData(Z,    122       if( nullptr == dataCS[Z] ) { ReadData(Z, path); }
123     }                                             123     }
124   }                                               124   }
125                                                   125   
126   if(isInitialised) { return; }                   126   if(isInitialised) { return; }
127   fParticleChange = GetParticleChangeForGamma(    127   fParticleChange = GetParticleChangeForGamma();
128   isInitialised = true;                           128   isInitialised = true;
129 }                                                 129 }
130                                                   130 
131                                                   131 
132 //....oooOO0OOooo........oooOO0OOooo........oo    132 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
133                                                   133 
134 void G4LivermorePolarizedRayleighModel::Initia    134 void G4LivermorePolarizedRayleighModel::InitialiseLocal(
135                 const G4ParticleDefinition*, G    135                 const G4ParticleDefinition*, G4VEmModel* masterModel)
136 {                                                 136 {
137   SetElementSelectors(masterModel->GetElementS    137   SetElementSelectors(masterModel->GetElementSelectors());
138 }                                                 138 }
139                                                   139 
140 //....oooOO0OOooo........oooOO0OOooo........oo    140 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
141                                                   141 
142 void G4LivermorePolarizedRayleighModel::ReadDa    142 void G4LivermorePolarizedRayleighModel::ReadData(std::size_t Z, const char* path)
143 {                                                 143 {
144   if (verboseLevel > 1) {                         144   if (verboseLevel > 1) {
145     G4cout << "Calling ReadData() of G4Livermo    145     G4cout << "Calling ReadData() of G4LivermoreRayleighModel" 
146      << G4endl;                                   146      << G4endl;
147   }                                               147   }
148                                                   148   
149   if(nullptr != dataCS[Z]) { return; }            149   if(nullptr != dataCS[Z]) { return; }
150                                                   150   
151   const char* datadir = path;                     151   const char* datadir = path;
152                                                   152   
153   if(nullptr == datadir)                          153   if(nullptr == datadir) 
154     {                                             154     {
155       datadir = G4FindDataDir("G4LEDATA");        155       datadir = G4FindDataDir("G4LEDATA");
156       if(nullptr == datadir)                      156       if(nullptr == datadir) 
157   {                                               157   {
158     G4Exception("G4LivermoreRayleighModelModel    158     G4Exception("G4LivermoreRayleighModelModel::ReadData()","em0006",
159           FatalException,                         159           FatalException,
160           "Environment variable G4LEDATA not d    160           "Environment variable G4LEDATA not defined");
161     return;                                       161     return;
162   }                                               162   }
163     }                                             163     }
164   dataCS[Z] = new G4PhysicsFreeVector();          164   dataCS[Z] = new G4PhysicsFreeVector();
165   formFactorData[Z] = new G4PhysicsFreeVector(    165   formFactorData[Z] = new G4PhysicsFreeVector();
166                                                   166   
167   std::ostringstream ostCS;                       167   std::ostringstream ostCS;
168   ostCS << datadir << "/livermore/rayl/re-cs-"    168   ostCS << datadir << "/livermore/rayl/re-cs-" << Z <<".dat";
169   std::ifstream finCS(ostCS.str().c_str());       169   std::ifstream finCS(ostCS.str().c_str());
170                                                   170   
171   if( !finCS .is_open() ) {                       171   if( !finCS .is_open() ) {
172     G4ExceptionDescription ed;                    172     G4ExceptionDescription ed;
173     ed << "G4LivermorePolarizedRayleighModel d    173     ed << "G4LivermorePolarizedRayleighModel data file <" << ostCS.str().c_str()
174        << "> is not opened!" << G4endl;           174        << "> is not opened!" << G4endl;
175     G4Exception("G4LivermorePolarizedRayleighM    175     G4Exception("G4LivermorePolarizedRayleighModel::ReadData()","em0003",
176     FatalException,                               176     FatalException,
177     ed,"G4LEDATA version should be G4EMLOW8.0     177     ed,"G4LEDATA version should be G4EMLOW8.0 or later.");
178     return;                                       178     return;
179   } else {                                        179   } else {
180     if(verboseLevel > 3) {                        180     if(verboseLevel > 3) { 
181       G4cout << "File " << ostCS.str()            181       G4cout << "File " << ostCS.str() 
182        << " is opened by G4LivermoreRayleighMo    182        << " is opened by G4LivermoreRayleighModel" << G4endl;
183     }                                             183     }
184     dataCS[Z]->Retrieve(finCS, true);             184     dataCS[Z]->Retrieve(finCS, true);
185   }                                               185   }
186                                                   186 
187   std::ostringstream ostFF;                       187   std::ostringstream ostFF;
188   ostFF << datadir << "/livermore/rayl/re-ff-"    188   ostFF << datadir << "/livermore/rayl/re-ff-" << Z <<".dat";
189   std::ifstream finFF(ostFF.str().c_str());       189   std::ifstream finFF(ostFF.str().c_str());
190                                                   190   
191   if( !finFF.is_open() ) {                        191   if( !finFF.is_open() ) {
192     G4ExceptionDescription ed;                    192     G4ExceptionDescription ed;
193     ed << "G4LivermorePolarizedRayleighModel d    193     ed << "G4LivermorePolarizedRayleighModel data file <" << ostFF.str().c_str()
194        << "> is not opened!" << G4endl;           194        << "> is not opened!" << G4endl;
195     G4Exception("G4LivermorePolarizedRayleighM    195     G4Exception("G4LivermorePolarizedRayleighModel::ReadData()","em0003",
196     FatalException,                               196     FatalException,
197     ed,"G4LEDATA version should be G4EMLOW8.0     197     ed,"G4LEDATA version should be G4EMLOW8.0 or later.");
198     return;                                       198     return;
199   } else {                                        199   } else {
200     if(verboseLevel > 3) {                        200     if(verboseLevel > 3) { 
201       G4cout << "File " << ostFF.str()            201       G4cout << "File " << ostFF.str() 
202                << " is opened by G4LivermoreRa    202                << " is opened by G4LivermoreRayleighModel" << G4endl;
203     }                                             203     }
204     formFactorData[Z]->Retrieve(finFF, true);     204     formFactorData[Z]->Retrieve(finFF, true);
205   }                                               205   } 
206 }                                                 206 }
207                                                   207  
208 //....oooOO0OOooo........oooOO0OOooo........oo    208 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
209                                                   209  
210 G4double G4LivermorePolarizedRayleighModel::Co    210 G4double G4LivermorePolarizedRayleighModel::ComputeCrossSectionPerAtom(
211                                         const     211                                         const G4ParticleDefinition*,
212           G4double GammaEnergy,                   212           G4double GammaEnergy,
213           G4double Z, G4double,                   213           G4double Z, G4double,
214           G4double, G4double)                     214           G4double, G4double)
215 {                                                 215 {
216   if (verboseLevel > 1) {                         216   if (verboseLevel > 1) {
217     G4cout << "G4LivermoreRayleighModel::Compu    217     G4cout << "G4LivermoreRayleighModel::ComputeCrossSectionPerAtom()" 
218      << G4endl;                                   218      << G4endl;
219   }                                               219   }
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 = G4lrint(Z);                        225   G4int intZ = G4lrint(Z);
226   if(intZ < 1 || intZ > maxZ) { return xs; }      226   if(intZ < 1 || intZ > maxZ) { return xs; }
227                                                   227    
228   G4PhysicsFreeVector* pv = dataCS[intZ];         228   G4PhysicsFreeVector* pv = dataCS[intZ];
229                                                   229  
230   // if element was not initialised               230   // if element was not initialised
231   // do initialisation safely for MT mode         231   // do initialisation safely for MT mode
232   if(nullptr == pv) {                             232   if(nullptr == pv) { 
233     InitialiseForElement(0, intZ);                233     InitialiseForElement(0, intZ);
234     pv = dataCS[intZ];                            234     pv = dataCS[intZ];
235     if(nullptr == pv) { return xs; }              235     if(nullptr == pv) { return xs; }
236   }                                               236   }
237                                                   237  
238   G4int n = G4int(pv->GetVectorLength() - 1);     238   G4int n = G4int(pv->GetVectorLength() - 1);
239   G4double e = GammaEnergy/MeV;                   239   G4double e = GammaEnergy/MeV;
240   if(e >= pv->Energy(n)) {                        240   if(e >= pv->Energy(n)) {
241     xs = (*pv)[n]/(e*e);                          241     xs = (*pv)[n]/(e*e);  
242   } else if(e >= pv->Energy(0)) {                 242   } else if(e >= pv->Energy(0)) {
243     xs = pv->Value(e)/(e*e);                      243     xs = pv->Value(e)/(e*e);  
244   }                                               244   }
245   return xs;                                      245   return xs;
246 }                                                 246 }
247                                                   247 
248 //....oooOO0OOooo........oooOO0OOooo........oo    248 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
249                                                   249 
250 void G4LivermorePolarizedRayleighModel::Sample    250 void G4LivermorePolarizedRayleighModel::SampleSecondaries(
251                 std::vector<G4DynamicParticle*    251                 std::vector<G4DynamicParticle*>*,
252     const G4MaterialCutsCouple* couple,           252     const G4MaterialCutsCouple* couple,
253     const G4DynamicParticle* aDynamicGamma,       253     const G4DynamicParticle* aDynamicGamma,
254     G4double, G4double)                           254     G4double, G4double)
255 {                                                 255 {
256   if (verboseLevel > 3)                           256   if (verboseLevel > 3)
257     G4cout << "Calling SampleSecondaries() of     257     G4cout << "Calling SampleSecondaries() of G4LivermorePolarizedRayleighModel" << G4endl;
258                                                   258 
259   G4double photonEnergy0 = aDynamicGamma->GetK    259   G4double photonEnergy0 = aDynamicGamma->GetKineticEnergy();
260                                                   260   
261   if (photonEnergy0 <= lowEnergyLimit)            261   if (photonEnergy0 <= lowEnergyLimit)
262   {                                               262   {
263     fParticleChange->ProposeTrackStatus(fStopA    263     fParticleChange->ProposeTrackStatus(fStopAndKill);
264     fParticleChange->SetProposedKineticEnergy(    264     fParticleChange->SetProposedKineticEnergy(0.);
265     fParticleChange->ProposeLocalEnergyDeposit    265     fParticleChange->ProposeLocalEnergyDeposit(photonEnergy0);
266     return;                                       266     return;
267   }                                               267   }
268                                                   268 
269   G4ParticleMomentum photonDirection0 = aDynam    269   G4ParticleMomentum photonDirection0 = aDynamicGamma->GetMomentumDirection();
270                                                   270 
271   // Select randomly one element in the curren    271   // Select randomly one element in the current material
272   const G4ParticleDefinition* particle =  aDyn    272   const G4ParticleDefinition* particle =  aDynamicGamma->GetDefinition();
273   const G4Element* elm = SelectRandomAtom(coup    273   const G4Element* elm = SelectRandomAtom(couple,particle,photonEnergy0);
274   G4int Z = elm->GetZasInt();                     274   G4int Z = elm->GetZasInt();
275                                                   275 
276   G4double outcomingPhotonCosTheta = GenerateC    276   G4double outcomingPhotonCosTheta = GenerateCosTheta(photonEnergy0, Z);
277   G4double outcomingPhotonPhi = GeneratePhi(ou    277   G4double outcomingPhotonPhi = GeneratePhi(outcomingPhotonCosTheta);
278   G4double beta = GeneratePolarizationAngle();    278   G4double beta = GeneratePolarizationAngle();
279                                                   279  
280   // incomingPhoton reference frame:              280   // incomingPhoton reference frame:
281   // z = versor parallel to the incomingPhoton    281   // z = versor parallel to the incomingPhotonDirection
282   // x = versor parallel to the incomingPhoton    282   // x = versor parallel to the incomingPhotonPolarization
283   // y = defined as z^x                           283   // y = defined as z^x
284                                                   284  
285   // outgoingPhoton reference frame:              285   // outgoingPhoton reference frame:
286   // z' = versor parallel to the outgoingPhoto    286   // z' = versor parallel to the outgoingPhotonDirection
287   // x' = defined as x-x*z'z' normalized          287   // x' = defined as x-x*z'z' normalized
288   // y' = defined as z'^x'                        288   // y' = defined as z'^x' 
289   G4ThreeVector z(aDynamicGamma->GetMomentumDi    289   G4ThreeVector z(aDynamicGamma->GetMomentumDirection().unit()); 
290   G4ThreeVector x(GetPhotonPolarization(*aDyna    290   G4ThreeVector x(GetPhotonPolarization(*aDynamicGamma));
291   G4ThreeVector y(z.cross(x));                    291   G4ThreeVector y(z.cross(x));
292                                                   292  
293   // z' = std::cos(phi)*std::sin(theta)           293   // z' = std::cos(phi)*std::sin(theta) 
294   // x + std::sin(phi)*std::sin(theta) y + std    294   // x + std::sin(phi)*std::sin(theta) y + std::cos(theta) z
295   G4double xDir;                                  295   G4double xDir;
296   G4double yDir;                                  296   G4double yDir;
297   G4double zDir;                                  297   G4double zDir;
298   zDir=outcomingPhotonCosTheta;                   298   zDir=outcomingPhotonCosTheta;
299   xDir=std::sqrt(1-outcomingPhotonCosTheta*out    299   xDir=std::sqrt(1-outcomingPhotonCosTheta*outcomingPhotonCosTheta);
300   yDir=xDir;                                      300   yDir=xDir;
301   xDir*=std::cos(outcomingPhotonPhi);             301   xDir*=std::cos(outcomingPhotonPhi);
302   yDir*=std::sin(outcomingPhotonPhi);             302   yDir*=std::sin(outcomingPhotonPhi);
303                                                   303  
304   G4ThreeVector zPrime((xDir*x + yDir*y + zDir    304   G4ThreeVector zPrime((xDir*x + yDir*y + zDir*z).unit());
305   G4ThreeVector xPrime(x.perpPart(zPrime).unit    305   G4ThreeVector xPrime(x.perpPart(zPrime).unit());
306   G4ThreeVector yPrime(zPrime.cross(xPrime));     306   G4ThreeVector yPrime(zPrime.cross(xPrime));
307                                                   307  
308   // outgoingPhotonPolarization is directed as    308   // outgoingPhotonPolarization is directed as 
309   // x' std::cos(beta) + y' std::sin(beta)        309   // x' std::cos(beta) + y' std::sin(beta)
310   G4ThreeVector outcomingPhotonPolarization(xP    310   G4ThreeVector outcomingPhotonPolarization(xPrime*std::cos(beta) + yPrime*std::sin(beta));
311                                                   311  
312   fParticleChange->ProposeMomentumDirection(zP    312   fParticleChange->ProposeMomentumDirection(zPrime);
313   fParticleChange->ProposePolarization(outcomi    313   fParticleChange->ProposePolarization(outcomingPhotonPolarization);
314   fParticleChange->SetProposedKineticEnergy(ph    314   fParticleChange->SetProposedKineticEnergy(photonEnergy0); 
315 }                                                 315 }
316                                                   316 
317 //....oooOO0OOooo........oooOO0OOooo........oo    317 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
318                                                   318 
319 G4double G4LivermorePolarizedRayleighModel::Ge    319 G4double G4LivermorePolarizedRayleighModel::GenerateCosTheta(G4double incomingPhotonEnergy, G4int Z) const
320 {                                                 320 {
321   //  d sigma                                     321   //  d sigma                                                                    k0
322   // --------- =  r0^2 * pi * F^2(x, Z) * ( 2     322   // --------- =  r0^2 * pi * F^2(x, Z) * ( 2 - sin^2 theta) * std::sin (theta), x = ---- std::sin(theta/2)
323   //  d theta                                     323   //  d theta                                                                    hc
324                                                   324  
325   //  d sigma                                     325   //  d sigma                                             k0          1 - y
326   // --------- = r0^2 * pi * F^2(x, Z) * ( 1 +    326   // --------- = r0^2 * pi * F^2(x, Z) * ( 1 + y^2), x = ---- std::sqrt ( ------- ), y = std::cos(theta)
327   //    d y                                       327   //    d y                                               hc            2
328                                                   328 
329   //              Z                               329   //              Z
330   // F(x, Z) ~ --------                           330   // F(x, Z) ~ --------
331   //            a + bx                            331   //            a + bx
332   //                                              332   //
333   // The time to exit from the outer loop grow    333   // The time to exit from the outer loop grows as ~ k0
334   // On pcgeant2 the time is ~ 1 s for k0 ~ 1     334   // On pcgeant2 the time is ~ 1 s for k0 ~ 1 MeV on the oxygen element. A 100 GeV
335   // event will take ~ 10 hours.                  335   // event will take ~ 10 hours.
336   //                                              336   //
337   // On the avarage the inner loop does 1.5 it    337   // On the avarage the inner loop does 1.5 iterations before exiting
338   const G4double xxfact = CLHEP::cm/(CLHEP::h_    338   const G4double xxfact = CLHEP::cm/(CLHEP::h_Planck*CLHEP::c_light); 
339   const G4double xFactor = incomingPhotonEnerg    339   const G4double xFactor = incomingPhotonEnergy*xxfact;
340                                                   340 
341   G4double cosTheta;                              341   G4double cosTheta;
342   G4double fCosTheta;                             342   G4double fCosTheta;
343   G4double x;                                     343   G4double x;
344   G4double fValue;                                344   G4double fValue;
345                                                   345 
346   if (incomingPhotonEnergy > 5.*CLHEP::MeV)       346   if (incomingPhotonEnergy > 5.*CLHEP::MeV)
347   {                                               347   {
348     cosTheta = 1.;                                348     cosTheta = 1.;
349   }                                               349   }
350   else                                            350   else
351   {                                               351   {
352     do                                            352     do
353     {                                             353     {
354       do                                          354       do
355   {                                               355   {
356     cosTheta = 2.*G4UniformRand()-1.;             356     cosTheta = 2.*G4UniformRand()-1.;
357     fCosTheta = (1.+cosTheta*cosTheta)/2.;        357     fCosTheta = (1.+cosTheta*cosTheta)/2.;
358   }                                               358   }
359       while (fCosTheta < G4UniformRand());        359       while (fCosTheta < G4UniformRand());
360                                                   360   
361       x = xFactor*std::sqrt((1.-cosTheta)/2.);    361       x = xFactor*std::sqrt((1.-cosTheta)/2.);
362                                                   362   
363       if (x > 1.e+005)                            363       if (x > 1.e+005)
364   fValue = formFactorData[Z]->Value(x);           364   fValue = formFactorData[Z]->Value(x);
365       else                                        365       else
366   fValue = formFactorData[Z]->Value(0.);          366   fValue = formFactorData[Z]->Value(0.);
367                                                   367    
368       fValue /= Z;                                368       fValue /= Z;
369       fValue *= fValue;                           369       fValue *= fValue;
370     }                                             370     }
371     while(fValue < G4UniformRand());              371     while(fValue < G4UniformRand());
372   }                                               372   }
373                                                   373 
374   return cosTheta;                                374   return cosTheta;
375 }                                                 375 }
376                                                   376 
377 //....oooOO0OOooo........oooOO0OOooo........oo    377 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
378                                                   378 
379 G4double G4LivermorePolarizedRayleighModel::Ge    379 G4double G4LivermorePolarizedRayleighModel::GeneratePhi(G4double cosTheta) const
380 {                                                 380 {
381   //  d sigma                                     381   //  d sigma
382   // --------- = alpha * ( 1 - sin^2 (theta) *    382   // --------- = alpha * ( 1 - sin^2 (theta) * cos^2 (phi) )
383   //   d phi                                      383   //   d phi
384                                                   384  
385   // On the average the loop takes no more tha    385   // On the average the loop takes no more than 2 iterations before exiting 
386                                                   386 
387   G4double phi;                                   387   G4double phi;
388   G4double cosPhi;                                388   G4double cosPhi;
389   G4double phiProbability;                        389   G4double phiProbability;
390   G4double sin2Theta;                             390   G4double sin2Theta;
391                                                   391  
392   sin2Theta=1.-cosTheta*cosTheta;                 392   sin2Theta=1.-cosTheta*cosTheta;
393                                                   393  
394   do                                              394   do
395     {                                             395     {
396       phi = CLHEP::twopi * G4UniformRand();       396       phi = CLHEP::twopi * G4UniformRand();
397       cosPhi = std::cos(phi);                     397       cosPhi = std::cos(phi);
398       phiProbability= 1. - sin2Theta*cosPhi*co    398       phiProbability= 1. - sin2Theta*cosPhi*cosPhi;
399     }                                             399     }
400   while (phiProbability < G4UniformRand());       400   while (phiProbability < G4UniformRand());
401                                                   401  
402   return phi;                                     402   return phi;
403 }                                                 403 }
404                                                   404 
405 //....oooOO0OOooo........oooOO0OOooo........oo    405 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
406                                                   406 
407 G4double G4LivermorePolarizedRayleighModel::Ge    407 G4double G4LivermorePolarizedRayleighModel::GeneratePolarizationAngle(void) const
408 {                                                 408 {
409   // Rayleigh polarization is always on the x'    409   // Rayleigh polarization is always on the x' direction
410   return 0;                                       410   return 0;
411 }                                                 411 }
412                                                   412 
413 //....oooOO0OOooo........oooOO0OOooo........oo    413 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
414                                                   414 
415 G4ThreeVector G4LivermorePolarizedRayleighMode    415 G4ThreeVector G4LivermorePolarizedRayleighModel::GetPhotonPolarization(const G4DynamicParticle&  photon)
416 {                                                 416 {
417   // From G4VLowEnergyDiscretePhotonProcess.cc    417   // From G4VLowEnergyDiscretePhotonProcess.cc
418   G4ThreeVector photonMomentumDirection;          418   G4ThreeVector photonMomentumDirection;
419   G4ThreeVector photonPolarization;               419   G4ThreeVector photonPolarization;
420                                                   420 
421   photonPolarization = photon.GetPolarization(    421   photonPolarization = photon.GetPolarization(); 
422   photonMomentumDirection = photon.GetMomentum    422   photonMomentumDirection = photon.GetMomentumDirection();
423                                                   423 
424   if ((!photonPolarization.isOrthogonal(photon    424   if ((!photonPolarization.isOrthogonal(photonMomentumDirection, 1e-6)) || photonPolarization.mag()==0.)
425     {                                             425     {
426       // if |photonPolarization|==0. or |photo    426       // if |photonPolarization|==0. or |photonPolarization * photonDirection0| > 1e-6 * |photonPolarization ^ photonDirection0|
427       // then polarization is choosen randomly    427       // then polarization is choosen randomly. 
428       G4ThreeVector e1(photonMomentumDirection    428       G4ThreeVector e1(photonMomentumDirection.orthogonal().unit());
429       G4ThreeVector e2(photonMomentumDirection    429       G4ThreeVector e2(photonMomentumDirection.cross(e1).unit());
430                                                   430   
431       G4double angle(G4UniformRand() * CLHEP::    431       G4double angle(G4UniformRand() * CLHEP::twopi);
432                                                   432   
433       e1*=std::cos(angle);                        433       e1*=std::cos(angle);
434       e2*=std::sin(angle);                        434       e2*=std::sin(angle);
435                                                   435   
436       photonPolarization=e1+e2;                   436       photonPolarization=e1+e2;
437     }                                             437     }
438   else if (photonPolarization.howOrthogonal(ph    438   else if (photonPolarization.howOrthogonal(photonMomentumDirection) != 0.)
439     {                                             439     {
440       // if |photonPolarization * photonDirect    440       // if |photonPolarization * photonDirection0| != 0.
441       // then polarization is made orthonormal    441       // then polarization is made orthonormal;  
442       photonPolarization=photonPolarization.pe    442       photonPolarization=photonPolarization.perpPart(photonMomentumDirection);
443     }                                             443     }
444                                                   444  
445   return photonPolarization.unit();               445   return photonPolarization.unit();
446 }                                                 446 }
447                                                   447 
448 //....oooOO0OOooo........oooOO0OOooo........oo    448 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
449                                                   449  
450 void G4LivermorePolarizedRayleighModel::Initia    450 void G4LivermorePolarizedRayleighModel::InitialiseForElement(
451                 const G4ParticleDefinition*, G    451                 const G4ParticleDefinition*, G4int Z)
452 {                                                 452 {
453   G4AutoLock l(&LivermorePolarizedRayleighMode    453   G4AutoLock l(&LivermorePolarizedRayleighModelMutex);
454   if(nullptr == dataCS[Z]) { ReadData(Z); }       454   if(nullptr == dataCS[Z]) { ReadData(Z); }
455   l.unlock();                                     455   l.unlock();
456 }                                                 456 }
457                                                   457