[1197] | 1 | // |
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| 2 | // ******************************************************************** |
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| 3 | // * License and Disclaimer * |
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| 4 | // * * |
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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| 7 | // * conditions of the Geant4 Software License, included in the file * |
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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| 9 | // * include a list of copyright holders. * |
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| 10 | // * * |
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| 11 | // * Neither the authors of this software system, nor their employing * |
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| 12 | // * institutes,nor the agencies providing financial support for this * |
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| 13 | // * work make any representation or warranty, express or implied, * |
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| 14 | // * regarding this software system or assume any liability for its * |
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| 15 | // * use. Please see the license in the file LICENSE and URL above * |
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| 16 | // * for the full disclaimer and the limitation of liability. * |
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| 17 | // * * |
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| 18 | // * This code implementation is the result of the scientific and * |
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| 19 | // * technical work of the GEANT4 collaboration. * |
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| 20 | // * By using, copying, modifying or distributing the software (or * |
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| 21 | // * any work based on the software) you agree to acknowledge its * |
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| 22 | // * use in resulting scientific publications, and indicate your * |
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| 23 | // * acceptance of all terms of the Geant4 Software license. * |
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| 24 | // ******************************************************************** |
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| 25 | // |
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| 26 | |
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| 27 | #include "G4LivermorePolarizedGammaConversionModel.hh" |
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| 28 | |
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| 29 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 30 | |
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| 31 | using namespace std; |
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| 32 | |
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| 33 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 34 | |
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| 35 | G4LivermorePolarizedGammaConversionModel::G4LivermorePolarizedGammaConversionModel(const G4ParticleDefinition*, |
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| 36 | const G4String& nam) |
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| 37 | :G4VEmModel(nam),isInitialised(false),meanFreePathTable(0),crossSectionHandler(0) |
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| 38 | { |
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| 39 | lowEnergyLimit = 1.0220000 * MeV; |
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| 40 | highEnergyLimit = 100 * GeV; |
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| 41 | SetLowEnergyLimit(lowEnergyLimit); |
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| 42 | SetHighEnergyLimit(highEnergyLimit); |
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| 43 | smallEnergy = 2.*MeV; |
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| 44 | |
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| 45 | |
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| 46 | verboseLevel= 0; |
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| 47 | // Verbosity scale: |
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| 48 | // 0 = nothing |
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| 49 | // 1 = warning for energy non-conservation |
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| 50 | // 2 = details of energy budget |
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| 51 | // 3 = calculation of cross sections, file openings, samping of atoms |
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| 52 | // 4 = entering in methods |
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| 53 | |
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| 54 | G4cout << "Livermore Polarized GammaConversion is constructed " << G4endl |
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| 55 | << "Energy range: " |
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| 56 | << lowEnergyLimit / keV << " keV - " |
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| 57 | << highEnergyLimit / GeV << " GeV" |
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| 58 | << G4endl; |
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| 59 | |
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| 60 | crossSectionHandler = new G4CrossSectionHandler(); |
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| 61 | crossSectionHandler->Initialise(0,1.0220*MeV,100.*GeV,400); |
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| 62 | |
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| 63 | |
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| 64 | } |
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| 65 | |
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| 66 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 67 | |
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| 68 | G4LivermorePolarizedGammaConversionModel::~G4LivermorePolarizedGammaConversionModel() |
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| 69 | { |
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| 70 | // if (meanFreePathTable) delete meanFreePathTable; |
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| 71 | if (crossSectionHandler) delete crossSectionHandler; |
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| 72 | } |
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| 73 | |
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| 74 | |
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| 75 | |
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| 76 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 77 | |
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| 78 | void G4LivermorePolarizedGammaConversionModel::Initialise(const G4ParticleDefinition* particle, |
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| 79 | const G4DataVector& cuts) |
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| 80 | { |
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| 81 | if (verboseLevel > 3) |
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| 82 | G4cout << "Calling G4LivermorePolarizedGammaConversionModel::Initialise()" << G4endl; |
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| 83 | |
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| 84 | if (crossSectionHandler) |
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| 85 | { |
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| 86 | crossSectionHandler->Clear(); |
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| 87 | delete crossSectionHandler; |
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| 88 | } |
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| 89 | |
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| 90 | |
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| 91 | // Energy limits |
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| 92 | |
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| 93 | if (LowEnergyLimit() < lowEnergyLimit) |
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| 94 | { |
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| 95 | G4cout << "G4LivermorePolarizedGammaConversionModel: low energy limit increased from " << |
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| 96 | LowEnergyLimit()/eV << " eV to " << lowEnergyLimit << " eV" << G4endl; |
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| 97 | SetLowEnergyLimit(lowEnergyLimit); |
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| 98 | } |
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| 99 | |
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| 100 | if (HighEnergyLimit() > highEnergyLimit) |
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| 101 | { |
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| 102 | G4cout << "G4LivermorePolarizedGammaConversionModel: high energy limit decreased from " << |
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| 103 | HighEnergyLimit()/GeV << " GeV to " << highEnergyLimit << " GeV" << G4endl; |
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| 104 | SetHighEnergyLimit(highEnergyLimit); |
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| 105 | } |
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| 106 | |
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| 107 | // Reading of data files - all materials are read |
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| 108 | |
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| 109 | crossSectionHandler = new G4CrossSectionHandler; |
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| 110 | crossSectionHandler->Clear(); |
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| 111 | G4String crossSectionFile = "pair/pp-cs-"; |
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| 112 | crossSectionHandler->LoadData(crossSectionFile); |
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| 113 | |
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| 114 | // meanFreePathTable = 0; |
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| 115 | //meanFreePathTable = crossSectionHandler->BuildMeanFreePathForMaterials(); |
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| 116 | |
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| 117 | |
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| 118 | // |
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| 119 | if (verboseLevel > 2) |
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| 120 | G4cout << "Loaded cross section files for Livermore Polarized GammaConversion model" << G4endl; |
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| 121 | |
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| 122 | InitialiseElementSelectors(particle,cuts); |
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| 123 | |
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| 124 | G4cout << "Livermore Polarized GammaConversion model is initialized " << G4endl |
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| 125 | << "Energy range: " |
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| 126 | << LowEnergyLimit() / keV << " keV - " |
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| 127 | << HighEnergyLimit() / GeV << " GeV" |
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| 128 | << G4endl; |
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| 129 | |
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| 130 | // |
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| 131 | |
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| 132 | if(isInitialised) return; |
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| 133 | |
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| 134 | if(pParticleChange) |
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| 135 | fParticleChange = reinterpret_cast<G4ParticleChangeForGamma*>(pParticleChange); |
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| 136 | else |
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| 137 | fParticleChange = new G4ParticleChangeForGamma(); |
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| 138 | |
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| 139 | isInitialised = true; |
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| 140 | } |
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| 141 | |
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| 142 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 143 | |
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| 144 | G4double G4LivermorePolarizedGammaConversionModel::ComputeCrossSectionPerAtom( |
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| 145 | const G4ParticleDefinition*, |
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| 146 | G4double GammaEnergy, |
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| 147 | G4double Z, G4double, |
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| 148 | G4double, G4double) |
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| 149 | { |
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| 150 | if (verboseLevel > 3) |
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| 151 | G4cout << "Calling ComputeCrossSectionPerAtom() of G4LivermorePolarizedGammaConversionModel" << G4endl; |
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| 152 | |
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| 153 | G4double cs = crossSectionHandler->FindValue(G4int(Z), GammaEnergy); |
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| 154 | return cs; |
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| 155 | } |
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| 156 | |
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| 157 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 158 | |
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| 159 | void G4LivermorePolarizedGammaConversionModel::SampleSecondaries(std::vector<G4DynamicParticle*>* fvect, |
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| 160 | const G4MaterialCutsCouple* couple, |
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| 161 | const G4DynamicParticle* aDynamicGamma, |
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| 162 | G4double, |
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| 163 | G4double) |
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| 164 | { |
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| 165 | |
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| 166 | // Fluorescence generated according to: |
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| 167 | // J. Stepanek ,"A program to determine the radiation spectra due to a single atomic |
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| 168 | // subshell ionisation by a particle or due to deexcitation or decay of radionuclides", |
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| 169 | // Comp. Phys. Comm. 1206 pp 1-1-9 (1997) |
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| 170 | |
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| 171 | if (verboseLevel > 3) |
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| 172 | G4cout << "Calling SampleSecondaries() of G4LivermorePolarizedGammaConversionModel" << G4endl; |
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| 173 | |
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| 174 | G4double photonEnergy = aDynamicGamma->GetKineticEnergy(); |
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| 175 | // Within energy limit? |
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| 176 | |
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| 177 | if(photonEnergy <= lowEnergyLimit) |
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| 178 | { |
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| 179 | fParticleChange->ProposeTrackStatus(fStopAndKill); |
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| 180 | fParticleChange->SetProposedKineticEnergy(0.); |
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| 181 | return; |
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| 182 | } |
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| 183 | |
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| 184 | |
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| 185 | G4ThreeVector gammaPolarization0 = aDynamicGamma->GetPolarization(); |
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| 186 | G4ThreeVector gammaDirection0 = aDynamicGamma->GetMomentumDirection(); |
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| 187 | |
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| 188 | // Make sure that the polarization vector is perpendicular to the |
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| 189 | // gamma direction. If not |
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| 190 | |
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| 191 | if(!(gammaPolarization0.isOrthogonal(gammaDirection0, 1e-6))||(gammaPolarization0.mag()==0)) |
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| 192 | { // only for testing now |
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| 193 | gammaPolarization0 = GetRandomPolarization(gammaDirection0); |
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| 194 | } |
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| 195 | else |
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| 196 | { |
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| 197 | if ( gammaPolarization0.howOrthogonal(gammaDirection0) != 0) |
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| 198 | { |
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| 199 | gammaPolarization0 = GetPerpendicularPolarization(gammaDirection0, gammaPolarization0); |
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| 200 | } |
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| 201 | } |
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| 202 | |
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| 203 | // End of Protection |
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| 204 | |
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| 205 | |
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| 206 | G4double epsilon ; |
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| 207 | G4double epsilon0 = electron_mass_c2 / photonEnergy ; |
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| 208 | |
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| 209 | // Do it fast if photon energy < 2. MeV |
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| 210 | |
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| 211 | if (photonEnergy < smallEnergy ) |
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| 212 | { |
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| 213 | epsilon = epsilon0 + (0.5 - epsilon0) * G4UniformRand(); |
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| 214 | } |
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| 215 | else |
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| 216 | { |
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| 217 | |
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| 218 | // Select randomly one element in the current material |
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| 219 | |
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| 220 | // G4int Z = crossSectionHandler->SelectRandomAtom(couple,photonEnergy); |
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| 221 | const G4Element* element = crossSectionHandler->SelectRandomElement(couple,photonEnergy); |
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| 222 | |
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| 223 | if (element == 0) |
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| 224 | { |
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| 225 | G4cout << "G4LivermorePolarizedGammaConversionModel::PostStepDoIt - element = 0" << G4endl; |
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| 226 | } |
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| 227 | G4IonisParamElm* ionisation = element->GetIonisation(); |
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| 228 | if (ionisation == 0) |
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| 229 | { |
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| 230 | G4cout << "G4LivermorePolarizedGammaConversionModel::PostStepDoIt - ionisation = 0" << G4endl; |
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| 231 | } |
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| 232 | |
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| 233 | |
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| 234 | |
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| 235 | // Extract Coulomb factor for this Element |
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| 236 | |
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| 237 | G4double fZ = 8. * (ionisation->GetlogZ3()); |
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| 238 | if (photonEnergy > 50. * MeV) fZ += 8. * (element->GetfCoulomb()); |
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| 239 | |
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| 240 | // Limits of the screening variable |
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| 241 | G4double screenFactor = 136. * epsilon0 / (element->GetIonisation()->GetZ3()) ; |
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| 242 | G4double screenMax = exp ((42.24 - fZ)/8.368) - 0.952 ; |
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| 243 | G4double screenMin = std::min(4.*screenFactor,screenMax) ; |
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| 244 | |
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| 245 | // Limits of the energy sampling |
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| 246 | G4double epsilon1 = 0.5 - 0.5 * sqrt(1. - screenMin / screenMax) ; |
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| 247 | G4double epsilonMin = std::max(epsilon0,epsilon1); |
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| 248 | G4double epsilonRange = 0.5 - epsilonMin ; |
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| 249 | |
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| 250 | // Sample the energy rate of the created electron (or positron) |
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| 251 | G4double screen; |
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| 252 | G4double gReject ; |
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| 253 | |
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| 254 | G4double f10 = ScreenFunction1(screenMin) - fZ; |
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| 255 | G4double f20 = ScreenFunction2(screenMin) - fZ; |
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| 256 | G4double normF1 = std::max(f10 * epsilonRange * epsilonRange,0.); |
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| 257 | G4double normF2 = std::max(1.5 * f20,0.); |
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| 258 | |
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| 259 | do { |
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| 260 | if (normF1 / (normF1 + normF2) > G4UniformRand() ) |
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| 261 | { |
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| 262 | epsilon = 0.5 - epsilonRange * pow(G4UniformRand(), 0.3333) ; |
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| 263 | screen = screenFactor / (epsilon * (1. - epsilon)); |
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| 264 | gReject = (ScreenFunction1(screen) - fZ) / f10 ; |
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| 265 | } |
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| 266 | else |
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| 267 | { |
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| 268 | epsilon = epsilonMin + epsilonRange * G4UniformRand(); |
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| 269 | screen = screenFactor / (epsilon * (1 - epsilon)); |
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| 270 | gReject = (ScreenFunction2(screen) - fZ) / f20 ; |
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| 271 | |
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| 272 | |
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| 273 | } |
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| 274 | } while ( gReject < G4UniformRand() ); |
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| 275 | |
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| 276 | } // End of epsilon sampling |
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| 277 | |
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| 278 | // Fix charges randomly |
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| 279 | |
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| 280 | G4double electronTotEnergy; |
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| 281 | G4double positronTotEnergy; |
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| 282 | |
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| 283 | |
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| 284 | if (CLHEP::RandBit::shootBit()) |
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| 285 | { |
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| 286 | electronTotEnergy = (1. - epsilon) * photonEnergy; |
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| 287 | positronTotEnergy = epsilon * photonEnergy; |
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| 288 | } |
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| 289 | else |
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| 290 | { |
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| 291 | positronTotEnergy = (1. - epsilon) * photonEnergy; |
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| 292 | electronTotEnergy = epsilon * photonEnergy; |
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| 293 | } |
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| 294 | |
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| 295 | // Scattered electron (positron) angles. ( Z - axis along the parent photon) |
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| 296 | // Universal distribution suggested by L. Urban (Geant3 manual (1993) Phys211), |
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| 297 | // derived from Tsai distribution (Rev. Mod. Phys. 49, 421 (1977) |
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| 298 | |
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| 299 | G4double u; |
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| 300 | const G4double a1 = 0.625; |
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| 301 | G4double a2 = 3. * a1; |
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| 302 | |
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| 303 | if (0.25 > G4UniformRand()) |
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| 304 | { |
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| 305 | u = - log(G4UniformRand() * G4UniformRand()) / a1 ; |
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| 306 | } |
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| 307 | else |
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| 308 | { |
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| 309 | u = - log(G4UniformRand() * G4UniformRand()) / a2 ; |
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| 310 | } |
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| 311 | |
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| 312 | G4double Ene = electronTotEnergy/electron_mass_c2; // Normalized energy |
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| 313 | |
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| 314 | G4double cosTheta = 0.; |
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| 315 | G4double sinTheta = 0.; |
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| 316 | |
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| 317 | SetTheta(&cosTheta,&sinTheta,Ene); |
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| 318 | |
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| 319 | // G4double theta = u * electron_mass_c2 / photonEnergy ; |
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| 320 | // G4double phi = twopi * G4UniformRand() ; |
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| 321 | |
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| 322 | G4double phi,psi=0.; |
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| 323 | |
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| 324 | //corrected e+ e- angular angular distribution //preliminary! |
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| 325 | |
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| 326 | // if(photonEnergy>50*MeV) |
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| 327 | // { |
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| 328 | phi = SetPhi(photonEnergy); |
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| 329 | psi = SetPsi(photonEnergy,phi); |
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| 330 | // } |
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| 331 | //else |
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| 332 | // { |
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| 333 | //psi = G4UniformRand()*2.*pi; |
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| 334 | //phi = pi; // coplanar |
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| 335 | // } |
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| 336 | |
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| 337 | Psi = psi; |
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| 338 | Phi = phi; |
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| 339 | //G4cout << "PHI " << phi << G4endl; |
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| 340 | //G4cout << "PSI " << psi << G4endl; |
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| 341 | |
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| 342 | G4double phie = psi; //azimuthal angle for the electron |
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| 343 | |
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| 344 | G4double dirX = sinTheta*cos(phie); |
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| 345 | G4double dirY = sinTheta*sin(phie); |
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| 346 | G4double dirZ = cosTheta; |
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| 347 | G4ThreeVector electronDirection(dirX,dirY,dirZ); |
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| 348 | // Kinematics of the created pair: |
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| 349 | // the electron and positron are assumed to have a symetric angular |
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| 350 | // distribution with respect to the Z axis along the parent photon |
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| 351 | |
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| 352 | //G4double localEnergyDeposit = 0. ; |
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| 353 | |
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| 354 | G4double electronKineEnergy = std::max(0.,electronTotEnergy - electron_mass_c2) ; |
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| 355 | |
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| 356 | SystemOfRefChange(gammaDirection0,electronDirection, |
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| 357 | gammaPolarization0); |
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| 358 | |
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| 359 | G4DynamicParticle* particle1 = new G4DynamicParticle (G4Electron::Electron(), |
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| 360 | electronDirection, |
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| 361 | electronKineEnergy); |
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| 362 | |
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| 363 | // The e+ is always created (even with kinetic energy = 0) for further annihilation |
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| 364 | |
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| 365 | Ene = positronTotEnergy/electron_mass_c2; // Normalized energy |
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| 366 | |
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| 367 | cosTheta = 0.; |
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| 368 | sinTheta = 0.; |
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| 369 | |
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| 370 | SetTheta(&cosTheta,&sinTheta,Ene); |
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| 371 | G4double phip = phie+phi; //azimuthal angle for the positron |
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| 372 | |
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| 373 | dirX = sinTheta*cos(phip); |
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| 374 | dirY = sinTheta*sin(phip); |
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| 375 | dirZ = cosTheta; |
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| 376 | G4ThreeVector positronDirection(dirX,dirY,dirZ); |
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| 377 | |
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| 378 | G4double positronKineEnergy = std::max(0.,positronTotEnergy - electron_mass_c2) ; |
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| 379 | SystemOfRefChange(gammaDirection0,positronDirection, |
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| 380 | gammaPolarization0); |
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| 381 | |
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| 382 | // Create G4DynamicParticle object for the particle2 |
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| 383 | G4DynamicParticle* particle2 = new G4DynamicParticle(G4Positron::Positron(), |
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| 384 | positronDirection, positronKineEnergy); |
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| 385 | |
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| 386 | |
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| 387 | fvect->push_back(particle1); |
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| 388 | fvect->push_back(particle2); |
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| 389 | |
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| 390 | |
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| 391 | |
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| 392 | // Kill the incident photon |
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| 393 | |
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| 394 | |
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| 395 | |
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| 396 | // Create lists of pointers to DynamicParticles (photons and electrons) |
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| 397 | // (Is the electron vector necessary? To be checked) |
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| 398 | // std::vector<G4DynamicParticle*>* photonVector = 0; |
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| 399 | //std::vector<G4DynamicParticle*> electronVector; |
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| 400 | |
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| 401 | fParticleChange->ProposeMomentumDirection( 0., 0., 0. ); |
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| 402 | fParticleChange->SetProposedKineticEnergy(0.); |
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| 403 | fParticleChange->ProposeTrackStatus(fStopAndKill); |
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| 404 | |
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| 405 | } |
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| 406 | |
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| 407 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 408 | |
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| 409 | G4double G4LivermorePolarizedGammaConversionModel::ScreenFunction1(G4double screenVariable) |
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| 410 | { |
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| 411 | // Compute the value of the screening function 3*phi1 - phi2 |
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| 412 | |
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| 413 | G4double value; |
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| 414 | |
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| 415 | if (screenVariable > 1.) |
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| 416 | value = 42.24 - 8.368 * log(screenVariable + 0.952); |
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| 417 | else |
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| 418 | value = 42.392 - screenVariable * (7.796 - 1.961 * screenVariable); |
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| 419 | |
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| 420 | return value; |
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| 421 | } |
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| 422 | |
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| 423 | |
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| 424 | |
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| 425 | G4double G4LivermorePolarizedGammaConversionModel::ScreenFunction2(G4double screenVariable) |
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| 426 | { |
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| 427 | // Compute the value of the screening function 1.5*phi1 - 0.5*phi2 |
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| 428 | |
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| 429 | G4double value; |
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| 430 | |
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| 431 | if (screenVariable > 1.) |
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| 432 | value = 42.24 - 8.368 * log(screenVariable + 0.952); |
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| 433 | else |
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| 434 | value = 41.405 - screenVariable * (5.828 - 0.8945 * screenVariable); |
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| 435 | |
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| 436 | return value; |
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| 437 | } |
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| 438 | |
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| 439 | |
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| 440 | void G4LivermorePolarizedGammaConversionModel::SetTheta(G4double* p_cosTheta, G4double* p_sinTheta, G4double Energy) |
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| 441 | { |
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| 442 | |
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| 443 | // to avoid computational errors since Theta could be very small |
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| 444 | // Energy in Normalized Units (!) |
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| 445 | |
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| 446 | G4double Momentum = sqrt(Energy*Energy -1); |
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| 447 | G4double Rand = G4UniformRand(); |
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| 448 | |
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| 449 | *p_cosTheta = (Energy*((2*Rand)- 1) + Momentum)/((Momentum*(2*Rand-1))+Energy); |
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| 450 | *p_sinTheta = (2*sqrt(Rand*(1-Rand)))/(Momentum*(2*Rand-1)+Energy); |
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| 451 | } |
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| 452 | |
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| 453 | |
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| 454 | |
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| 455 | G4double G4LivermorePolarizedGammaConversionModel::SetPhi(G4double Energy) |
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| 456 | { |
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| 457 | |
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| 458 | |
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| 459 | G4double value = 0.; |
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| 460 | G4double Ene = Energy/MeV; |
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| 461 | |
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| 462 | G4double pl[4]; |
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| 463 | |
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| 464 | |
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| 465 | G4double pt[2]; |
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| 466 | G4double xi = 0; |
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| 467 | G4double xe = 0.; |
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| 468 | G4double n1=0.; |
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| 469 | G4double n2=0.; |
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| 470 | |
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| 471 | |
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| 472 | if (Ene>=50.) |
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| 473 | { |
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| 474 | const G4double ay0=5.6, by0=18.6, aa0=2.9, ba0 = 8.16E-3; |
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| 475 | const G4double aw = 0.0151, bw = 10.7, cw = -410.; |
---|
| 476 | |
---|
| 477 | const G4double axc = 3.1455, bxc = -1.11, cxc = 310.; |
---|
| 478 | |
---|
| 479 | pl[0] = Fln(ay0,by0,Ene); |
---|
| 480 | pl[1] = aa0 + ba0*(Ene); |
---|
| 481 | pl[2] = Poli(aw,bw,cw,Ene); |
---|
| 482 | pl[3] = Poli(axc,bxc,cxc,Ene); |
---|
| 483 | |
---|
| 484 | const G4double abf = 3.1216, bbf = 2.68; |
---|
| 485 | pt[0] = -1.4; |
---|
| 486 | pt[1] = abf + bbf/Ene; |
---|
| 487 | |
---|
| 488 | |
---|
| 489 | |
---|
| 490 | //G4cout << "PL > 50. "<< pl[0] << " " << pl[1] << " " << pl[2] << " " <<pl[3] << " " << G4endl; |
---|
| 491 | |
---|
| 492 | xi = 3.0; |
---|
| 493 | xe = Encu(pl,pt,xi); |
---|
| 494 | //G4cout << "ENCU "<< xe << G4endl; |
---|
| 495 | n1 = Fintlor(pl,pi) - Fintlor(pl,xe); |
---|
| 496 | n2 = Finttan(pt,xe) - Finttan(pt,0.); |
---|
| 497 | } |
---|
| 498 | else |
---|
| 499 | { |
---|
| 500 | const G4double ay0=0.144, by0=0.11; |
---|
| 501 | const G4double aa0=2.7, ba0 = 2.74; |
---|
| 502 | const G4double aw = 0.21, bw = 10.8, cw = -58.; |
---|
| 503 | const G4double axc = 3.17, bxc = -0.87, cxc = -6.; |
---|
| 504 | |
---|
| 505 | pl[0] = Fln(ay0, by0, Ene); |
---|
| 506 | pl[1] = Fln(aa0, ba0, Ene); |
---|
| 507 | pl[2] = Poli(aw,bw,cw,Ene); |
---|
| 508 | pl[3] = Poli(axc,bxc,cxc,Ene); |
---|
| 509 | |
---|
| 510 | //G4cout << "PL < 50."<< pl[0] << " " << pl[1] << " " << pl[2] << " " <<pl[3] << " " << G4endl; |
---|
| 511 | //G4cout << "ENCU "<< xe << G4endl; |
---|
| 512 | n1 = Fintlor(pl,pi) - Fintlor(pl,xe); |
---|
| 513 | |
---|
| 514 | } |
---|
| 515 | |
---|
| 516 | |
---|
| 517 | G4double n=0.; |
---|
| 518 | n = n1+n2; |
---|
| 519 | |
---|
| 520 | G4double c1 = 0.; |
---|
| 521 | c1 = Glor(pl, xe); |
---|
| 522 | |
---|
| 523 | G4double xm = 0.; |
---|
| 524 | xm = Flor(pl,pl[3])*Glor(pl,pl[3]); |
---|
| 525 | |
---|
| 526 | G4double r1,r2,r3; |
---|
| 527 | G4double xco=0.; |
---|
| 528 | |
---|
| 529 | if (Ene>=50.) |
---|
| 530 | { |
---|
| 531 | r1= G4UniformRand(); |
---|
| 532 | if( r1>=n2/n) |
---|
| 533 | { |
---|
| 534 | do |
---|
| 535 | { |
---|
| 536 | r2 = G4UniformRand(); |
---|
| 537 | value = Finvlor(pl,xe,r2); |
---|
| 538 | xco = Glor(pl,value)/c1; |
---|
| 539 | r3 = G4UniformRand(); |
---|
| 540 | } while(r3>=xco); |
---|
| 541 | } |
---|
| 542 | else |
---|
| 543 | { |
---|
| 544 | value = Finvtan(pt,n,r1); |
---|
| 545 | } |
---|
| 546 | } |
---|
| 547 | else |
---|
| 548 | { |
---|
| 549 | do |
---|
| 550 | { |
---|
| 551 | r2 = G4UniformRand(); |
---|
| 552 | value = Finvlor(pl,xe,r2); |
---|
| 553 | xco = Glor(pl,value)/c1; |
---|
| 554 | r3 = G4UniformRand(); |
---|
| 555 | } while(r3>=xco); |
---|
| 556 | } |
---|
| 557 | |
---|
| 558 | // G4cout << "PHI = " <<value << G4endl; |
---|
| 559 | return value; |
---|
| 560 | } |
---|
| 561 | G4double G4LivermorePolarizedGammaConversionModel::SetPsi(G4double Energy, G4double Phi) |
---|
| 562 | { |
---|
| 563 | |
---|
| 564 | G4double value = 0.; |
---|
| 565 | G4double Ene = Energy/MeV; |
---|
| 566 | |
---|
| 567 | G4double p0l[4]; |
---|
| 568 | G4double ppml[4]; |
---|
| 569 | G4double p0t[2]; |
---|
| 570 | G4double ppmt[2]; |
---|
| 571 | |
---|
| 572 | G4double xi = 0.; |
---|
| 573 | G4double xe0 = 0.; |
---|
| 574 | G4double xepm = 0.; |
---|
| 575 | |
---|
| 576 | if (Ene>=50.) |
---|
| 577 | { |
---|
| 578 | const G4double ay00 = 3.4, by00 = 9.8, aa00 = 1.34, ba00 = 5.3; |
---|
| 579 | const G4double aw0 = 0.014, bw0 = 9.7, cw0 = -2.E4; |
---|
| 580 | const G4double axc0 = 3.1423, bxc0 = -2.35, cxc0 = 0.; |
---|
| 581 | const G4double ay0p = 1.53, by0p = 3.2, aap = 0.67, bap = 8.5E-3; |
---|
| 582 | const G4double awp = 6.9E-3, bwp = 12.6, cwp = -3.8E4; |
---|
| 583 | const G4double axcp = 2.8E-3,bxcp = -3.133; |
---|
| 584 | const G4double abf0 = 3.1213, bbf0 = 2.61; |
---|
| 585 | const G4double abfpm = 3.1231, bbfpm = 2.84; |
---|
| 586 | |
---|
| 587 | p0l[0] = Fln(ay00, by00, Ene); |
---|
| 588 | p0l[1] = Fln(aa00, ba00, Ene); |
---|
| 589 | p0l[2] = Poli(aw0, bw0, cw0, Ene); |
---|
| 590 | p0l[3] = Poli(axc0, bxc0, cxc0, Ene); |
---|
| 591 | |
---|
| 592 | ppml[0] = Fln(ay0p, by0p, Ene); |
---|
| 593 | ppml[1] = aap + bap*(Ene); |
---|
| 594 | ppml[2] = Poli(awp, bwp, cwp, Ene); |
---|
| 595 | ppml[3] = Fln(axcp,bxcp,Ene); |
---|
| 596 | |
---|
| 597 | p0t[0] = -0.81; |
---|
| 598 | p0t[1] = abf0 + bbf0/Ene; |
---|
| 599 | ppmt[0] = -0.6; |
---|
| 600 | ppmt[1] = abfpm + bbfpm/Ene; |
---|
| 601 | |
---|
| 602 | //G4cout << "P0L > 50"<< p0l[0] << " " << p0l[1] << " " << p0l[2] << " " <<p0l[3] << " " << G4endl; |
---|
| 603 | //G4cout << "PPML > 50"<< ppml[0] << " " << ppml[1] << " " << ppml[2] << " " <<ppml[3] << " " << G4endl; |
---|
| 604 | |
---|
| 605 | xi = 3.0; |
---|
| 606 | xe0 = Encu(p0l, p0t, xi); |
---|
| 607 | //G4cout << "ENCU1 "<< xe0 << G4endl; |
---|
| 608 | xepm = Encu(ppml, ppmt, xi); |
---|
| 609 | |
---|
| 610 | |
---|
| 611 | //G4cout << "ENCU2 "<< xepm << G4endl; |
---|
| 612 | |
---|
| 613 | } |
---|
| 614 | else |
---|
| 615 | { |
---|
| 616 | const G4double ay00 = 2.82, by00 = 6.35; |
---|
| 617 | const G4double aa00 = -1.75, ba00 = 0.25; |
---|
| 618 | |
---|
| 619 | const G4double aw0 = 0.028, bw0 = 5., cw0 = -50.; |
---|
| 620 | const G4double axc0 = 3.14213, bxc0 = -2.3, cxc0 = 5.7; |
---|
| 621 | const G4double ay0p = 1.56, by0p = 3.6; |
---|
| 622 | const G4double aap = 0.86, bap = 8.3E-3; |
---|
| 623 | const G4double awp = 0.022, bwp = 7.4, cwp = -51.; |
---|
| 624 | const G4double xcp = 3.1486; |
---|
| 625 | |
---|
| 626 | p0l[0] = Fln(ay00, by00, Ene); |
---|
| 627 | p0l[1] = aa00+pow(Ene, ba00); |
---|
| 628 | p0l[2] = Poli(aw0, bw0, cw0, Ene); |
---|
| 629 | p0l[3] = Poli(axc0, bxc0, cxc0, Ene); |
---|
| 630 | ppml[0] = Fln(ay0p, by0p, Ene); |
---|
| 631 | ppml[1] = aap + bap*(Ene); |
---|
| 632 | ppml[2] = Poli(awp, bwp, cwp, Ene); |
---|
| 633 | ppml[3] = xcp; |
---|
| 634 | |
---|
| 635 | } |
---|
| 636 | |
---|
| 637 | |
---|
| 638 | |
---|
| 639 | G4double a,b=0.; |
---|
| 640 | |
---|
| 641 | if (Ene>=50.) |
---|
| 642 | { |
---|
| 643 | if (Phi>xepm) |
---|
| 644 | { |
---|
| 645 | b = (ppml[0]+2*ppml[1]*ppml[2]*Flor(ppml,Phi)); |
---|
| 646 | } |
---|
| 647 | else |
---|
| 648 | { |
---|
| 649 | b = Ftan(ppmt,Phi); |
---|
| 650 | } |
---|
| 651 | if (Phi>xe0) |
---|
| 652 | { |
---|
| 653 | a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l,Phi)); |
---|
| 654 | } |
---|
| 655 | else |
---|
| 656 | { |
---|
| 657 | a = Ftan(p0t,Phi); |
---|
| 658 | } |
---|
| 659 | } |
---|
| 660 | else |
---|
| 661 | { |
---|
| 662 | b = (ppml[0]+2*ppml[1]*ppml[2]*Flor(ppml,Phi)); |
---|
| 663 | a = (p0l[0]+2*p0l[1]*p0l[2]*Flor(p0l,Phi)); |
---|
| 664 | } |
---|
| 665 | G4double nr =0.; |
---|
| 666 | |
---|
| 667 | if (b>a) |
---|
| 668 | { |
---|
| 669 | nr = 1./b; |
---|
| 670 | } |
---|
| 671 | else |
---|
| 672 | { |
---|
| 673 | nr = 1./a; |
---|
| 674 | } |
---|
| 675 | |
---|
| 676 | G4double r1,r2=0.; |
---|
| 677 | G4double r3 =-1.; |
---|
| 678 | do |
---|
| 679 | { |
---|
| 680 | r1 = G4UniformRand(); |
---|
| 681 | r2 = G4UniformRand(); |
---|
| 682 | value = r2*pi; |
---|
| 683 | r3 = nr*(a*cos(value)*cos(value) + b*sin(value)*sin(value)); |
---|
| 684 | }while(r1>r3); |
---|
| 685 | |
---|
| 686 | return value; |
---|
| 687 | } |
---|
| 688 | |
---|
| 689 | |
---|
| 690 | G4double G4LivermorePolarizedGammaConversionModel::Poli |
---|
| 691 | (G4double a, G4double b, G4double c, G4double x) |
---|
| 692 | { |
---|
| 693 | G4double value=0.; |
---|
| 694 | if(x>0.) |
---|
| 695 | { |
---|
| 696 | value =(a + b/x + c/(x*x*x)); |
---|
| 697 | } |
---|
| 698 | else |
---|
| 699 | { |
---|
| 700 | //G4cout << "ERROR in Poli! " << G4endl; |
---|
| 701 | } |
---|
| 702 | return value; |
---|
| 703 | } |
---|
| 704 | G4double G4LivermorePolarizedGammaConversionModel::Fln |
---|
| 705 | (G4double a, G4double b, G4double x) |
---|
| 706 | { |
---|
| 707 | G4double value=0.; |
---|
| 708 | if(x>0.) |
---|
| 709 | { |
---|
| 710 | value =(a*log(x)-b); |
---|
| 711 | } |
---|
| 712 | else |
---|
| 713 | { |
---|
| 714 | //G4cout << "ERROR in Fln! " << G4endl; |
---|
| 715 | } |
---|
| 716 | return value; |
---|
| 717 | } |
---|
| 718 | |
---|
| 719 | |
---|
| 720 | G4double G4LivermorePolarizedGammaConversionModel::Encu |
---|
| 721 | (G4double* p_p1, G4double* p_p2, G4double x) |
---|
| 722 | { |
---|
| 723 | G4double value=0.; |
---|
| 724 | G4int i=0; |
---|
| 725 | G4double fx = 1.; |
---|
| 726 | |
---|
| 727 | do |
---|
| 728 | { |
---|
| 729 | x -= (Flor(p_p1, x)*Glor(p_p1,x) - Ftan(p_p2, x))/ |
---|
| 730 | (Fdlor(p_p1,x) - Fdtan(p_p2,x)); |
---|
| 731 | fx = Flor(p_p1,x)*Glor(p_p1,x) - Ftan(p_p2, x); |
---|
| 732 | i += 1; |
---|
| 733 | //G4cout << abs(fx) << " " << i << " " << x << "dentro ENCU " << G4endl; |
---|
| 734 | } while( (i<100) && (abs(fx) > 1e-6)) ; |
---|
| 735 | |
---|
| 736 | if (i>100||x>pi) x = 3.0; |
---|
| 737 | value = x; |
---|
| 738 | |
---|
| 739 | if (value<0.) value=0.; |
---|
| 740 | |
---|
| 741 | return value; |
---|
| 742 | } |
---|
| 743 | |
---|
| 744 | |
---|
| 745 | |
---|
| 746 | |
---|
| 747 | G4double G4LivermorePolarizedGammaConversionModel::Flor(G4double* p_p1, G4double x) |
---|
| 748 | { |
---|
| 749 | G4double value =0.; |
---|
| 750 | // G4double y0 = p_p1[0]; |
---|
| 751 | // G4double A = p_p1[1]; |
---|
| 752 | G4double w = p_p1[2]; |
---|
| 753 | G4double xc = p_p1[3]; |
---|
| 754 | |
---|
| 755 | value = 1./(pi*(w*w + 4.*(x-xc)*(x-xc))); |
---|
| 756 | return value; |
---|
| 757 | } |
---|
| 758 | |
---|
| 759 | G4double G4LivermorePolarizedGammaConversionModel::Glor(G4double* p_p1, G4double x) |
---|
| 760 | { |
---|
| 761 | G4double value =0.; |
---|
| 762 | G4double y0 = p_p1[0]; |
---|
| 763 | G4double A = p_p1[1]; |
---|
| 764 | G4double w = p_p1[2]; |
---|
| 765 | G4double xc = p_p1[3]; |
---|
| 766 | |
---|
| 767 | value = (y0 *pi*(w*w + 4.*(x-xc)*(x-xc)) + 2.*A*w); |
---|
| 768 | return value; |
---|
| 769 | } |
---|
| 770 | |
---|
| 771 | G4double G4LivermorePolarizedGammaConversionModel::Fdlor(G4double* p_p1, G4double x) |
---|
| 772 | { |
---|
| 773 | G4double value =0.; |
---|
| 774 | //G4double y0 = p_p1[0]; |
---|
| 775 | G4double A = p_p1[1]; |
---|
| 776 | G4double w = p_p1[2]; |
---|
| 777 | G4double xc = p_p1[3]; |
---|
| 778 | |
---|
| 779 | value = (-16.*A*w*(x-xc))/ |
---|
| 780 | (pi*(w*w+4.*(x-xc)*(x-xc))*(w*w+4.*(x-xc)*(x-xc))); |
---|
| 781 | return value; |
---|
| 782 | } |
---|
| 783 | |
---|
| 784 | |
---|
| 785 | G4double G4LivermorePolarizedGammaConversionModel::Fintlor(G4double* p_p1, G4double x) |
---|
| 786 | { |
---|
| 787 | G4double value =0.; |
---|
| 788 | G4double y0 = p_p1[0]; |
---|
| 789 | G4double A = p_p1[1]; |
---|
| 790 | G4double w = p_p1[2]; |
---|
| 791 | G4double xc = p_p1[3]; |
---|
| 792 | |
---|
| 793 | value = y0*x + A*atan( 2*(x-xc)/w) / pi; |
---|
| 794 | return value; |
---|
| 795 | } |
---|
| 796 | |
---|
| 797 | |
---|
| 798 | G4double G4LivermorePolarizedGammaConversionModel::Finvlor(G4double* p_p1, G4double x, G4double r) |
---|
| 799 | { |
---|
| 800 | G4double value = 0.; |
---|
| 801 | G4double nor = 0.; |
---|
| 802 | //G4double y0 = p_p1[0]; |
---|
| 803 | // G4double A = p_p1[1]; |
---|
| 804 | G4double w = p_p1[2]; |
---|
| 805 | G4double xc = p_p1[3]; |
---|
| 806 | |
---|
| 807 | nor = atan(2.*(pi-xc)/w)/(2.*pi*w) - atan(2.*(x-xc)/w)/(2.*pi*w); |
---|
| 808 | value = xc - (w/2.)*tan(-2.*r*nor*pi*w+atan(2*(xc-x)/w)); |
---|
| 809 | |
---|
| 810 | return value; |
---|
| 811 | } |
---|
| 812 | |
---|
| 813 | G4double G4LivermorePolarizedGammaConversionModel::Ftan(G4double* p_p1, G4double x) |
---|
| 814 | { |
---|
| 815 | G4double value =0.; |
---|
| 816 | G4double a = p_p1[0]; |
---|
| 817 | G4double b = p_p1[1]; |
---|
| 818 | |
---|
| 819 | value = a /(x-b); |
---|
| 820 | return value; |
---|
| 821 | } |
---|
| 822 | |
---|
| 823 | |
---|
| 824 | G4double G4LivermorePolarizedGammaConversionModel::Fdtan(G4double* p_p1, G4double x) |
---|
| 825 | { |
---|
| 826 | G4double value =0.; |
---|
| 827 | G4double a = p_p1[0]; |
---|
| 828 | G4double b = p_p1[1]; |
---|
| 829 | |
---|
| 830 | value = -1.*a / ((x-b)*(x-b)); |
---|
| 831 | return value; |
---|
| 832 | } |
---|
| 833 | |
---|
| 834 | |
---|
| 835 | G4double G4LivermorePolarizedGammaConversionModel::Finttan(G4double* p_p1, G4double x) |
---|
| 836 | { |
---|
| 837 | G4double value =0.; |
---|
| 838 | G4double a = p_p1[0]; |
---|
| 839 | G4double b = p_p1[1]; |
---|
| 840 | |
---|
| 841 | |
---|
| 842 | value = a*log(b-x); |
---|
| 843 | return value; |
---|
| 844 | } |
---|
| 845 | |
---|
| 846 | G4double G4LivermorePolarizedGammaConversionModel::Finvtan(G4double* p_p1, G4double cnor, G4double r) |
---|
| 847 | { |
---|
| 848 | G4double value =0.; |
---|
| 849 | G4double a = p_p1[0]; |
---|
| 850 | G4double b = p_p1[1]; |
---|
| 851 | |
---|
| 852 | value = b*(1-exp(r*cnor/a)); |
---|
| 853 | |
---|
| 854 | return value; |
---|
| 855 | } |
---|
| 856 | |
---|
| 857 | |
---|
| 858 | |
---|
| 859 | |
---|
| 860 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 861 | |
---|
| 862 | G4ThreeVector G4LivermorePolarizedGammaConversionModel::SetPerpendicularVector(G4ThreeVector& a) |
---|
| 863 | { |
---|
| 864 | G4double dx = a.x(); |
---|
| 865 | G4double dy = a.y(); |
---|
| 866 | G4double dz = a.z(); |
---|
| 867 | G4double x = dx < 0.0 ? -dx : dx; |
---|
| 868 | G4double y = dy < 0.0 ? -dy : dy; |
---|
| 869 | G4double z = dz < 0.0 ? -dz : dz; |
---|
| 870 | if (x < y) { |
---|
| 871 | return x < z ? G4ThreeVector(-dy,dx,0) : G4ThreeVector(0,-dz,dy); |
---|
| 872 | }else{ |
---|
| 873 | return y < z ? G4ThreeVector(dz,0,-dx) : G4ThreeVector(-dy,dx,0); |
---|
| 874 | } |
---|
| 875 | } |
---|
| 876 | |
---|
| 877 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
---|
| 878 | |
---|
| 879 | G4ThreeVector G4LivermorePolarizedGammaConversionModel::GetRandomPolarization(G4ThreeVector& direction0) |
---|
| 880 | { |
---|
| 881 | G4ThreeVector d0 = direction0.unit(); |
---|
| 882 | G4ThreeVector a1 = SetPerpendicularVector(d0); //different orthogonal |
---|
| 883 | G4ThreeVector a0 = a1.unit(); // unit vector |
---|
| 884 | |
---|
| 885 | G4double rand1 = G4UniformRand(); |
---|
| 886 | |
---|
| 887 | G4double angle = twopi*rand1; // random polar angle |
---|
| 888 | G4ThreeVector b0 = d0.cross(a0); // cross product |
---|
| 889 | |
---|
| 890 | G4ThreeVector c; |
---|
| 891 | |
---|
| 892 | c.setX(std::cos(angle)*(a0.x())+std::sin(angle)*b0.x()); |
---|
| 893 | c.setY(std::cos(angle)*(a0.y())+std::sin(angle)*b0.y()); |
---|
| 894 | c.setZ(std::cos(angle)*(a0.z())+std::sin(angle)*b0.z()); |
---|
| 895 | |
---|
| 896 | G4ThreeVector c0 = c.unit(); |
---|
| 897 | |
---|
| 898 | return c0; |
---|
| 899 | |
---|
| 900 | } |
---|
| 901 | |
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| 902 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 903 | |
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| 904 | G4ThreeVector G4LivermorePolarizedGammaConversionModel::GetPerpendicularPolarization |
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| 905 | (const G4ThreeVector& gammaDirection, const G4ThreeVector& gammaPolarization) const |
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| 906 | { |
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| 907 | |
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| 908 | // |
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| 909 | // The polarization of a photon is always perpendicular to its momentum direction. |
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| 910 | // Therefore this function removes those vector component of gammaPolarization, which |
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| 911 | // points in direction of gammaDirection |
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| 912 | // |
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| 913 | // Mathematically we search the projection of the vector a on the plane E, where n is the |
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| 914 | // plains normal vector. |
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| 915 | // The basic equation can be found in each geometry book (e.g. Bronstein): |
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| 916 | // p = a - (a o n)/(n o n)*n |
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| 917 | |
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| 918 | return gammaPolarization - gammaPolarization.dot(gammaDirection)/gammaDirection.dot(gammaDirection) * gammaDirection; |
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| 919 | } |
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| 920 | |
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| 921 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo.... |
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| 922 | |
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| 923 | |
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| 924 | void G4LivermorePolarizedGammaConversionModel::SystemOfRefChange |
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| 925 | (G4ThreeVector& direction0,G4ThreeVector& direction1, |
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| 926 | G4ThreeVector& polarization0) |
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| 927 | { |
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| 928 | // direction0 is the original photon direction ---> z |
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| 929 | // polarization0 is the original photon polarization ---> x |
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| 930 | // need to specify y axis in the real reference frame ---> y |
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| 931 | G4ThreeVector Axis_Z0 = direction0.unit(); |
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| 932 | G4ThreeVector Axis_X0 = polarization0.unit(); |
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| 933 | G4ThreeVector Axis_Y0 = (Axis_Z0.cross(Axis_X0)).unit(); // to be confirmed; |
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| 934 | |
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| 935 | G4double direction_x = direction1.getX(); |
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| 936 | G4double direction_y = direction1.getY(); |
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| 937 | G4double direction_z = direction1.getZ(); |
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| 938 | |
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| 939 | direction1 = (direction_x*Axis_X0 + direction_y*Axis_Y0 + direction_z*Axis_Z0).unit(); |
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| 940 | |
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| 941 | } |
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| 942 | |
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| 943 | |
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| 944 | |
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| 945 | |
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