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 | // $Id: G4PenelopeIonisation.cc,v 1.19 2006/06/29 19:40:49 gunter Exp $ |
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27 | // GEANT4 tag $Name: $ |
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28 | // |
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29 | // -------------------------------------------------------------- |
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30 | // |
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31 | // File name: G4PenelopeIonisation |
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32 | // |
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33 | // Author: Luciano Pandola |
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34 | // |
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35 | // Creation date: March 2003 |
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36 | // |
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37 | // Modifications: |
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38 | // |
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39 | // 25.03.03 L.Pandola First implementation |
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40 | // 03.06.03 L.Pandola Added continuous part |
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41 | // 30.06.03 L.Pandola Added positrons |
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42 | // 01.07.03 L.Pandola Changed cross section files for e- and e+ |
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43 | // Interface with PenelopeCrossSectionHandler |
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44 | // 18.01.04 M.Mendenhall (Vanderbilt University) [bug report 568] |
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45 | // Changed returns in CalculateDiscreteForElectrons() |
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46 | // to eliminate leaks |
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47 | // 20.01.04 L.Pandola Changed returns in CalculateDiscreteForPositrons() |
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48 | // to eliminate the same bug |
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49 | // 10.03.04 L.Pandola Bug fixed with reference system of delta rays |
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50 | // 17.03.04 L.Pandola Removed unnecessary calls to std::pow(a,b) |
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51 | // 18.03.04 L.Pandola Bug fixed in the destructor |
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52 | // 01.06.04 L.Pandola StopButAlive for positrons on PostStepDoIt |
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53 | // 10.03.05 L.Pandola Fix of bug report 729. The solution works but it is |
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54 | // quite un-elegant. Something better to be found. |
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55 | // -------------------------------------------------------------- |
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56 | |
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57 | #include "G4PenelopeIonisation.hh" |
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58 | #include "G4PenelopeCrossSectionHandler.hh" |
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59 | #include "G4AtomicTransitionManager.hh" |
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60 | #include "G4AtomicShell.hh" |
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61 | #include "G4eIonisationSpectrum.hh" |
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62 | #include "G4VDataSetAlgorithm.hh" |
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63 | #include "G4SemiLogInterpolation.hh" |
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64 | #include "G4LogLogInterpolation.hh" |
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65 | #include "G4EMDataSet.hh" |
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66 | #include "G4VEMDataSet.hh" |
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67 | #include "G4CompositeEMDataSet.hh" |
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68 | #include "G4EnergyLossTables.hh" |
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69 | #include "G4UnitsTable.hh" |
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70 | #include "G4Electron.hh" |
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71 | #include "G4Gamma.hh" |
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72 | #include "G4Positron.hh" |
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73 | #include "G4ProductionCutsTable.hh" |
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74 | #include "G4ProcessManager.hh" |
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75 | |
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76 | G4PenelopeIonisation::G4PenelopeIonisation(const G4String& nam) |
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77 | : G4eLowEnergyLoss(nam), |
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78 | crossSectionHandler(0), |
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79 | theMeanFreePath(0), |
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80 | kineticEnergy1(0.0), |
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81 | cosThetaPrimary(1.0), |
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82 | energySecondary(0.0), |
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83 | cosThetaSecondary(0.0), |
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84 | iOsc(-1) |
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85 | { |
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86 | cutForPhotons = 250.0*eV; |
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87 | cutForElectrons = 250.0*eV; |
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88 | verboseLevel = 0; |
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89 | ionizationEnergy = new std::map<G4int,G4DataVector*>; |
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90 | resonanceEnergy = new std::map<G4int,G4DataVector*>; |
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91 | occupationNumber = new std::map<G4int,G4DataVector*>; |
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92 | shellFlag = new std::map<G4int,G4DataVector*>; |
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93 | ReadData(); //Read data from file |
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94 | |
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95 | } |
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96 | |
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97 | |
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98 | G4PenelopeIonisation::~G4PenelopeIonisation() |
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99 | { |
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100 | delete crossSectionHandler; |
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101 | delete theMeanFreePath; |
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102 | for (G4int Z=1;Z<100;Z++) |
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103 | { |
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104 | if (ionizationEnergy->count(Z)) delete (ionizationEnergy->find(Z)->second); |
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105 | if (resonanceEnergy->count(Z)) delete (resonanceEnergy->find(Z)->second); |
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106 | if (occupationNumber->count(Z)) delete (occupationNumber->find(Z)->second); |
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107 | if (shellFlag->count(Z)) delete (shellFlag->find(Z)->second); |
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108 | } |
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109 | delete ionizationEnergy; |
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110 | delete resonanceEnergy; |
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111 | delete occupationNumber; |
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112 | delete shellFlag; |
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113 | } |
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114 | |
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115 | |
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116 | void G4PenelopeIonisation::BuildPhysicsTable(const G4ParticleDefinition& aParticleType) |
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117 | { |
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118 | if(verboseLevel > 0) { |
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119 | G4cout << "G4PenelopeIonisation::BuildPhysicsTable start" << G4endl; |
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120 | } |
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121 | |
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122 | cutForDelta.clear(); |
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123 | |
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124 | // Create and fill G4CrossSectionHandler once |
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125 | if ( crossSectionHandler != 0 ) delete crossSectionHandler; |
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126 | G4VDataSetAlgorithm* interpolation = new G4LogLogInterpolation(); |
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127 | G4double lowKineticEnergy = GetLowerBoundEloss(); |
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128 | G4double highKineticEnergy = GetUpperBoundEloss(); |
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129 | G4int totBin = GetNbinEloss(); |
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130 | crossSectionHandler = new G4PenelopeCrossSectionHandler(this,aParticleType, |
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131 | interpolation, |
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132 | lowKineticEnergy, |
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133 | highKineticEnergy, |
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134 | totBin); |
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135 | |
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136 | if (&aParticleType == G4Electron::Electron()) |
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137 | { |
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138 | crossSectionHandler->LoadData("penelope/ion-cs-el-"); |
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139 | } |
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140 | else if (&aParticleType == G4Positron::Positron()) |
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141 | { |
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142 | crossSectionHandler->LoadData("penelope/ion-cs-po-"); |
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143 | } |
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144 | |
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145 | if (verboseLevel > 0) { |
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146 | G4cout << GetProcessName() << " is created." << G4endl; |
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147 | } |
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148 | |
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149 | // Build loss table for Ionisation |
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150 | |
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151 | BuildLossTable(aParticleType); |
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152 | |
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153 | if(verboseLevel > 0) { |
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154 | G4cout << "The loss table is built" |
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155 | << G4endl; |
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156 | } |
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157 | |
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158 | if (&aParticleType==G4Electron::Electron()) { |
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159 | |
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160 | RecorderOfElectronProcess[CounterOfElectronProcess] = (*this).theLossTable; |
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161 | CounterOfElectronProcess++; |
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162 | PrintInfoDefinition(); |
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163 | |
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164 | } else { |
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165 | |
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166 | RecorderOfPositronProcess[CounterOfPositronProcess] = (*this).theLossTable; |
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167 | CounterOfPositronProcess++; |
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168 | PrintInfoDefinition(); |
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169 | } |
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170 | |
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171 | // Build mean free path data using cut values |
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172 | |
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173 | if( theMeanFreePath ) delete theMeanFreePath; |
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174 | theMeanFreePath = crossSectionHandler-> |
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175 | BuildMeanFreePathForMaterials(&cutForDelta); |
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176 | |
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177 | if(verboseLevel > 0) { |
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178 | G4cout << "The MeanFreePath table is built" |
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179 | << G4endl; |
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180 | if(verboseLevel > 1) theMeanFreePath->PrintData(); |
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181 | } |
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182 | |
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183 | // Build common DEDX table for all ionisation processes |
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184 | |
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185 | BuildDEDXTable(aParticleType); |
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186 | |
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187 | if (verboseLevel > 0) { |
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188 | G4cout << "G4PenelopeIonisation::BuildPhysicsTable end" |
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189 | << G4endl; |
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190 | } |
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191 | } |
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192 | |
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193 | |
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194 | void G4PenelopeIonisation::BuildLossTable( |
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195 | const G4ParticleDefinition& aParticleType) |
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196 | { |
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197 | // Build table for energy loss due to soft brems |
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198 | // the tables are built for *MATERIALS* binning is taken from LowEnergyLoss |
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199 | |
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200 | G4double lowKineticEnergy = GetLowerBoundEloss(); |
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201 | G4double highKineticEnergy = GetUpperBoundEloss(); |
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202 | size_t totBin = GetNbinEloss(); |
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203 | |
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204 | // create table |
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205 | |
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206 | if (theLossTable) { |
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207 | theLossTable->clearAndDestroy(); |
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208 | delete theLossTable; |
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209 | } |
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210 | const G4ProductionCutsTable* theCoupleTable= |
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211 | G4ProductionCutsTable::GetProductionCutsTable(); |
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212 | size_t numOfCouples = theCoupleTable->GetTableSize(); |
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213 | theLossTable = new G4PhysicsTable(numOfCouples); |
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214 | |
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215 | // Clean up the vector of cuts |
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216 | |
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217 | cutForDelta.clear(); |
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218 | |
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219 | // Loop for materials |
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220 | |
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221 | for (size_t m=0; m<numOfCouples; m++) { |
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222 | |
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223 | // create physics vector and fill it |
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224 | G4PhysicsLogVector* aVector = new G4PhysicsLogVector(lowKineticEnergy, |
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225 | highKineticEnergy, |
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226 | totBin); |
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227 | |
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228 | // get material parameters needed for the energy loss calculation |
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229 | const G4MaterialCutsCouple* couple = theCoupleTable->GetMaterialCutsCouple(m); |
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230 | const G4Material* material= couple->GetMaterial(); |
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231 | |
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232 | // the cut cannot be below lowest limit |
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233 | G4double tCut = 0.0; |
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234 | tCut = (*(theCoupleTable->GetEnergyCutsVector(1)))[m]; |
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235 | tCut = std::min(tCut,highKineticEnergy); |
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236 | |
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237 | cutForDelta.push_back(tCut); |
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238 | |
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239 | const G4ElementVector* theElementVector = material->GetElementVector(); |
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240 | size_t NumberOfElements = material->GetNumberOfElements() ; |
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241 | const G4double* theAtomicNumDensityVector = |
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242 | material->GetAtomicNumDensityVector(); |
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243 | const G4double electronVolumeDensity = |
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244 | material->GetTotNbOfElectPerVolume(); //electron density |
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245 | if(verboseLevel > 0) { |
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246 | G4cout << "Energy loss for material # " << m |
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247 | << " tCut(keV)= " << tCut/keV |
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248 | << G4endl; |
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249 | } |
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250 | |
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251 | // now comes the loop for the kinetic energy values |
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252 | for (size_t i = 0; i<totBin; i++) { |
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253 | |
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254 | G4double lowEdgeEnergy = aVector->GetLowEdgeEnergy(i); |
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255 | G4double ionloss = 0.; |
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256 | |
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257 | // loop for elements in the material |
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258 | for (size_t iel=0; iel<NumberOfElements; iel++ ) { |
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259 | |
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260 | G4int Z = (G4int)((*theElementVector)[iel]->GetZ()); |
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261 | ionloss += |
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262 | CalculateContinuous(lowEdgeEnergy,tCut,Z,electronVolumeDensity, |
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263 | aParticleType) * theAtomicNumDensityVector[iel]; |
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264 | |
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265 | if(verboseLevel > 1) { |
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266 | G4cout << "Z= " << Z |
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267 | << " E(keV)= " << lowEdgeEnergy/keV |
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268 | << " loss= " << ionloss |
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269 | << " rho= " << theAtomicNumDensityVector[iel] |
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270 | << G4endl; |
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271 | } |
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272 | } |
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273 | aVector->PutValue(i,ionloss); |
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274 | } |
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275 | theLossTable->insert(aVector); |
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276 | } |
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277 | } |
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278 | |
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279 | |
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280 | G4VParticleChange* G4PenelopeIonisation::PostStepDoIt(const G4Track& track, |
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281 | const G4Step& step) |
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282 | { |
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283 | aParticleChange.Initialize(track); |
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284 | |
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285 | const G4MaterialCutsCouple* couple = track.GetMaterialCutsCouple(); |
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286 | const G4DynamicParticle* incidentElectron = track.GetDynamicParticle(); |
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287 | const G4Material* material = couple->GetMaterial(); |
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288 | const G4double electronVolumeDensity = |
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289 | material->GetTotNbOfElectPerVolume(); //electron density |
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290 | const G4ParticleDefinition* aParticleType = track.GetDefinition(); |
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291 | G4double kineticEnergy0 = incidentElectron->GetKineticEnergy(); |
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292 | G4ParticleMomentum electronDirection0 = incidentElectron->GetMomentumDirection(); |
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293 | |
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294 | //Inizialisation of variables |
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295 | kineticEnergy1=kineticEnergy0; |
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296 | cosThetaPrimary=1.0; |
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297 | energySecondary=0.0; |
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298 | cosThetaSecondary=1.0; |
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299 | |
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300 | G4int Z = crossSectionHandler->SelectRandomAtom(couple, kineticEnergy0); |
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301 | G4int index = couple->GetIndex(); |
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302 | G4double tCut = cutForDelta[index]; |
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303 | |
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304 | if (aParticleType==G4Electron::Electron()){ |
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305 | CalculateDiscreteForElectrons(kineticEnergy0,tCut,Z,electronVolumeDensity); |
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306 | } |
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307 | else if (aParticleType==G4Positron::Positron()){ |
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308 | CalculateDiscreteForPositrons(kineticEnergy0,tCut,Z,electronVolumeDensity); |
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309 | } |
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310 | // the method CalculateDiscrete() sets the private variables: |
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311 | // kineticEnergy1 = energy of the primary electron after the interaction |
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312 | // cosThetaPrimary = std::cos(theta) of the primary after the interaction |
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313 | // energySecondary = energy of the secondary electron |
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314 | // cosThetaSecondary = std::cos(theta) of the secondary |
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315 | |
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316 | if(energySecondary == 0.0) |
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317 | { |
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318 | return G4VContinuousDiscreteProcess::PostStepDoIt(track, step); |
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319 | } |
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320 | |
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321 | //Update the primary particle |
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322 | G4double sint = std::sqrt(1. - cosThetaPrimary*cosThetaPrimary); |
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323 | G4double phi = twopi * G4UniformRand(); |
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324 | G4double dirx = sint * std::cos(phi); |
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325 | G4double diry = sint * std::sin(phi); |
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326 | G4double dirz = cosThetaPrimary; |
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327 | |
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328 | G4ThreeVector electronDirection1(dirx,diry,dirz); |
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329 | electronDirection1.rotateUz(electronDirection0); |
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330 | aParticleChange.ProposeMomentumDirection(electronDirection1) ; |
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331 | |
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332 | if (kineticEnergy1 > 0.) |
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333 | { |
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334 | aParticleChange.ProposeEnergy(kineticEnergy1) ; |
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335 | } |
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336 | else |
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337 | { |
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338 | aParticleChange.ProposeEnergy(0.) ; |
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339 | if (aParticleType->GetProcessManager()->GetAtRestProcessVector()->size()) |
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340 | //In this case there is at least one AtRest process |
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341 | { |
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342 | aParticleChange.ProposeTrackStatus(fStopButAlive); |
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343 | } |
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344 | else |
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345 | { |
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346 | aParticleChange.ProposeTrackStatus(fStopAndKill); |
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347 | } |
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348 | } |
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349 | |
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350 | //Generate the delta day |
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351 | G4int iosc2 = 0; |
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352 | G4double ioniEnergy = 0.0; |
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353 | if (iOsc > 0) { |
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354 | ioniEnergy=(*(ionizationEnergy->find(Z)->second))[iOsc]; |
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355 | iosc2 = (ionizationEnergy->find(Z)->second->size()) - iOsc; //they are in reversed order |
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356 | } |
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357 | |
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358 | const G4AtomicTransitionManager* transitionManager = G4AtomicTransitionManager::Instance(); |
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359 | G4double bindingEnergy = 0.0; |
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360 | G4int shellId = 0; |
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361 | if (iOsc > 0){ |
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362 | const G4AtomicShell* shell = transitionManager->Shell(Z,iosc2-1); // Modified by Alf |
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363 | bindingEnergy = shell->BindingEnergy(); |
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364 | shellId = shell->ShellId(); |
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365 | } |
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366 | |
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367 | G4double ionEnergy = bindingEnergy; //energy spent to ionise the atom according to G4dabatase |
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368 | G4double eKineticEnergy = energySecondary; |
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369 | |
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370 | //This is an awful thing: Penelope generates the fluorescence only for L and K shells |
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371 | //(i.e. Osc = 1 --> 4). For high-Z, the other shells can be quite relevant. In this case |
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372 | //one MUST ensure ''by hand'' the energy conservation. Then there is the other problem that |
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373 | //the fluorescence database of Penelope doesn not match that of Geant4. |
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374 | |
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375 | G4double energyBalance = kineticEnergy0 - kineticEnergy1 - energySecondary; //Penelope Balance |
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376 | |
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377 | if (std::abs(energyBalance) < 1*eV) |
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378 | { |
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379 | //in this case Penelope didn't subtract the fluorescence energy: do here by hand |
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380 | eKineticEnergy = energySecondary - bindingEnergy; |
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381 | } |
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382 | else |
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383 | { |
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384 | //Penelope subtracted the fluorescence, but one has to match the databases |
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385 | eKineticEnergy = energySecondary+ioniEnergy-bindingEnergy; |
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386 | } |
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387 | |
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388 | //Now generates the various secondaries |
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389 | size_t nTotPhotons=0; |
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390 | G4int nPhotons=0; |
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391 | |
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392 | const G4ProductionCutsTable* theCoupleTable= |
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393 | G4ProductionCutsTable::GetProductionCutsTable(); |
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394 | size_t indx = couple->GetIndex(); |
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395 | G4double cutg = (*(theCoupleTable->GetEnergyCutsVector(0)))[indx]; |
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396 | cutg = std::min(cutForPhotons,cutg); |
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397 | |
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398 | G4double cute = (*(theCoupleTable->GetEnergyCutsVector(1)))[indx]; |
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399 | cute = std::min(cutForPhotons,cute); |
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400 | |
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401 | std::vector<G4DynamicParticle*>* photonVector=0; |
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402 | G4DynamicParticle* aPhoton; |
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403 | if (Z>5 && (ionEnergy > cutg || ionEnergy > cute)) |
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404 | { |
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405 | photonVector = deexcitationManager.GenerateParticles(Z,shellId); |
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406 | nTotPhotons = photonVector->size(); |
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407 | for (size_t k=0;k<nTotPhotons;k++){ |
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408 | aPhoton = (*photonVector)[k]; |
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409 | if (aPhoton) |
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410 | { |
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411 | G4double itsCut = cutg; |
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412 | if (aPhoton->GetDefinition() == G4Electron::Electron()) itsCut = cute; |
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413 | G4double itsEnergy = aPhoton->GetKineticEnergy(); |
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414 | if (itsEnergy > itsCut && itsEnergy <= ionEnergy) |
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415 | { |
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416 | nPhotons++; |
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417 | ionEnergy -= itsEnergy; |
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418 | } |
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419 | else |
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420 | { |
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421 | delete aPhoton; |
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422 | (*photonVector)[k]=0; |
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423 | } |
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424 | } |
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425 | } |
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426 | } |
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427 | G4double energyDeposit=ionEnergy; //il deposito locale e' quello che rimane |
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428 | G4int nbOfSecondaries=nPhotons; |
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429 | |
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430 | |
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431 | // Generate the delta ray |
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432 | G4double sin2 = std::sqrt(1. - cosThetaSecondary*cosThetaSecondary); |
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433 | G4double phi2 = twopi * G4UniformRand(); |
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434 | G4DynamicParticle* electron = 0; |
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435 | |
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436 | G4double xEl = sin2 * std::cos(phi2); |
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437 | G4double yEl = sin2 * std::sin(phi2); |
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438 | G4double zEl = cosThetaSecondary; |
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439 | G4ThreeVector eDirection(xEl,yEl,zEl); //electron direction |
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440 | eDirection.rotateUz(electronDirection0); |
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441 | |
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442 | electron = new G4DynamicParticle (G4Electron::Electron(), |
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443 | eDirection,eKineticEnergy) ; |
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444 | nbOfSecondaries++; |
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445 | |
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446 | aParticleChange.SetNumberOfSecondaries(nbOfSecondaries); |
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447 | if (electron) aParticleChange.AddSecondary(electron); |
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448 | |
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449 | G4double energySumTest = kineticEnergy1 + eKineticEnergy; |
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450 | |
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451 | for (size_t ll=0;ll<nTotPhotons;ll++) |
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452 | { |
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453 | aPhoton = (*photonVector)[ll]; |
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454 | if (aPhoton) { |
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455 | aParticleChange.AddSecondary(aPhoton); |
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456 | energySumTest += aPhoton->GetKineticEnergy(); |
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457 | } |
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458 | } |
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459 | delete photonVector; |
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460 | if (energyDeposit < 0) |
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461 | { |
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462 | G4cout << "WARNING-" |
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463 | << "G4PenelopeIonisaition::PostStepDoIt - Negative energy deposit" |
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464 | << G4endl; |
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465 | energyDeposit=0; |
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466 | } |
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467 | energySumTest += energyDeposit; |
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468 | if (std::abs(energySumTest-kineticEnergy0)>1*eV) |
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469 | { |
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470 | G4cout << "WARNING-" |
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471 | << "G4PenelopeIonisaition::PostStepDoIt - Energy non conservation" |
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472 | << G4endl; |
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473 | G4cout << "Final energy - initial energy = " << |
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474 | (energySumTest-kineticEnergy0)/eV << " eV" << G4endl; |
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475 | } |
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476 | aParticleChange.ProposeLocalEnergyDeposit(energyDeposit); |
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477 | return G4VContinuousDiscreteProcess::PostStepDoIt(track, step); |
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478 | } |
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479 | |
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480 | |
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481 | void G4PenelopeIonisation::PrintInfoDefinition() |
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482 | { |
---|
483 | G4String comments = "Total cross sections from EEDL database."; |
---|
484 | comments += "\n Delta energy sampled from a parametrised formula."; |
---|
485 | comments += "\n Implementation of the continuous dE/dx part."; |
---|
486 | comments += "\n At present it can be used for electrons and positrons "; |
---|
487 | comments += "in the energy range [250eV,100GeV]."; |
---|
488 | comments += "\n The process must work with G4PenelopeBremsstrahlung."; |
---|
489 | |
---|
490 | G4cout << G4endl << GetProcessName() << ": " << comments << G4endl; |
---|
491 | } |
---|
492 | |
---|
493 | G4bool G4PenelopeIonisation::IsApplicable(const G4ParticleDefinition& particle) |
---|
494 | { |
---|
495 | return ( (&particle == G4Electron::Electron()) || ( |
---|
496 | &particle == G4Positron::Positron()) ); |
---|
497 | } |
---|
498 | |
---|
499 | G4double G4PenelopeIonisation::GetMeanFreePath(const G4Track& track, |
---|
500 | G4double, // previousStepSize |
---|
501 | G4ForceCondition* cond) |
---|
502 | { |
---|
503 | *cond = NotForced; |
---|
504 | G4int index = (track.GetMaterialCutsCouple())->GetIndex(); |
---|
505 | const G4VEMDataSet* data = theMeanFreePath->GetComponent(index); |
---|
506 | G4double meanFreePath = data->FindValue(track.GetKineticEnergy()); |
---|
507 | return meanFreePath; |
---|
508 | } |
---|
509 | |
---|
510 | void G4PenelopeIonisation::SetCutForLowEnSecPhotons(G4double cut) |
---|
511 | { |
---|
512 | cutForPhotons = cut; |
---|
513 | deexcitationManager.SetCutForSecondaryPhotons(cut); |
---|
514 | } |
---|
515 | |
---|
516 | void G4PenelopeIonisation::SetCutForLowEnSecElectrons(G4double cut) |
---|
517 | { |
---|
518 | cutForElectrons = cut; |
---|
519 | deexcitationManager.SetCutForAugerElectrons(cut); |
---|
520 | } |
---|
521 | |
---|
522 | void G4PenelopeIonisation::ActivateAuger(G4bool val) |
---|
523 | { |
---|
524 | deexcitationManager.ActivateAugerElectronProduction(val); |
---|
525 | } |
---|
526 | |
---|
527 | |
---|
528 | void G4PenelopeIonisation::CalculateDiscreteForElectrons(G4double ene,G4double cutoff, |
---|
529 | G4int Z,G4double electronVolumeDensity) |
---|
530 | { |
---|
531 | kineticEnergy1=ene; |
---|
532 | cosThetaPrimary=1.0; |
---|
533 | energySecondary=0.0; |
---|
534 | cosThetaSecondary=1.0; |
---|
535 | iOsc=-1; |
---|
536 | //constants |
---|
537 | G4double rb=ene+2.0*electron_mass_c2; |
---|
538 | G4double gamma = 1.0+ene/electron_mass_c2; |
---|
539 | G4double gamma2 = gamma*gamma; |
---|
540 | G4double beta2 = (gamma2-1.0)/gamma2; |
---|
541 | G4double amol = (gamma-1.0)*(gamma-1.0)/gamma2; |
---|
542 | G4double cps = ene*rb; |
---|
543 | G4double cp = std::sqrt(cps); |
---|
544 | |
---|
545 | G4double delta = CalculateDeltaFermi(ene,Z,electronVolumeDensity); |
---|
546 | G4double distantTransvCS0 = std::max(std::log(gamma2)-beta2-delta,0.0); |
---|
547 | |
---|
548 | G4double rl,rl1; |
---|
549 | |
---|
550 | if (cutoff > ene) return; //delta rays are not generated |
---|
551 | |
---|
552 | G4DataVector* qm = new G4DataVector(); |
---|
553 | G4DataVector* cumulHardCS = new G4DataVector(); |
---|
554 | G4DataVector* typeOfInteraction = new G4DataVector(); |
---|
555 | G4DataVector* nbOfLevel = new G4DataVector(); |
---|
556 | |
---|
557 | //Hard close collisions with outer shells |
---|
558 | G4double wmaxc = 0.5*ene; |
---|
559 | G4double closeCS0 = 0.0; |
---|
560 | G4double closeCS = 0.0; |
---|
561 | if (cutoff>0.1*eV) |
---|
562 | { |
---|
563 | rl=cutoff/ene; |
---|
564 | rl1=1.0-rl; |
---|
565 | if (rl < 0.5) |
---|
566 | closeCS0 = (amol*(0.5-rl)+(1.0/rl)-(1.0/rl1)+(1.0-amol)*std::log(rl/rl1))/ene; |
---|
567 | } |
---|
568 | |
---|
569 | // Cross sections for the different oscillators |
---|
570 | |
---|
571 | // totalHardCS contains the cumulative hard interaction cross section for the different |
---|
572 | // excitable levels and the different interaction channels (close, distant, etc.), |
---|
573 | // i.e. |
---|
574 | // cumulHardCS[0] = 0.0 |
---|
575 | // cumulHardCS[1] = 1st excitable level (distant longitudinal only) |
---|
576 | // cumulHardCS[2] = 1st excitable level (distant longitudinal + transverse) |
---|
577 | // cumulHardCS[3] = 1st excitable level (distant longitudinal + transverse + close) |
---|
578 | // cumulHardCS[4] = 1st excitable level (all channels) + 2nd excitable level (distant long only) |
---|
579 | // etc. |
---|
580 | // This is used for sampling the atomic level which is ionised and the channel of the |
---|
581 | // interaction. |
---|
582 | // |
---|
583 | // For each index iFill of the cumulHardCS vector, |
---|
584 | // nbOfLevel[iFill] contains the current excitable atomic level and |
---|
585 | // typeOfInteraction[iFill] contains the current interaction channel, with the legenda: |
---|
586 | // 1 = distant longitudinal interaction |
---|
587 | // 2 = distant transverse interaction |
---|
588 | // 3 = close collision |
---|
589 | // 4 = close collision with outer shells (in this case nbOfLevel < 0 --> no binding energy) |
---|
590 | |
---|
591 | |
---|
592 | G4int nOscil = ionizationEnergy->find(Z)->second->size(); |
---|
593 | G4double totalHardCS = 0.0; |
---|
594 | G4double involvedElectrons = 0.0; |
---|
595 | for (G4int i=0;i<nOscil;i++){ |
---|
596 | G4double wi = (*(resonanceEnergy->find(Z)->second))[i]; |
---|
597 | G4int occupNb = (G4int) (*(occupationNumber->find(Z)->second))[i]; |
---|
598 | //Distant excitations |
---|
599 | if (wi>cutoff && wi<ene) |
---|
600 | { |
---|
601 | if (wi>(1e-6*ene)){ |
---|
602 | G4double cpp=std::sqrt((ene-wi)*(ene-wi+2.0*electron_mass_c2)); |
---|
603 | qm->push_back(std::sqrt((cp-cpp)*(cp-cpp)+electron_mass_c2*electron_mass_c2)-electron_mass_c2); |
---|
604 | } |
---|
605 | else |
---|
606 | { |
---|
607 | qm->push_back((wi*wi)/(beta2*2.0*electron_mass_c2)); |
---|
608 | } |
---|
609 | //verificare che quando arriva qui il vettore ha SEMPRE l'i-esimo elemento |
---|
610 | if ((*qm)[i] < wi) |
---|
611 | { |
---|
612 | |
---|
613 | G4double distantLongitCS = occupNb*std::log(wi*((*qm)[i]+2.0*electron_mass_c2)/ |
---|
614 | ((*qm)[i]*(wi+2.0*electron_mass_c2)))/wi; |
---|
615 | cumulHardCS->push_back(totalHardCS); |
---|
616 | typeOfInteraction->push_back(1.0); //distant longitudinal |
---|
617 | nbOfLevel->push_back((G4double) i); //only excitable level are counted |
---|
618 | totalHardCS += distantLongitCS; |
---|
619 | |
---|
620 | G4double distantTransvCS = occupNb*distantTransvCS0/wi; |
---|
621 | |
---|
622 | cumulHardCS->push_back(totalHardCS); |
---|
623 | typeOfInteraction->push_back(2.0); //distant tranverse |
---|
624 | nbOfLevel->push_back((G4double) i); |
---|
625 | totalHardCS += distantTransvCS; |
---|
626 | } |
---|
627 | } |
---|
628 | else |
---|
629 | { |
---|
630 | qm->push_back(wi); |
---|
631 | } |
---|
632 | //close collisions |
---|
633 | if(wi < wmaxc){ |
---|
634 | if (wi < cutoff) { |
---|
635 | involvedElectrons += occupNb; |
---|
636 | } |
---|
637 | else |
---|
638 | { |
---|
639 | rl=wi/ene; |
---|
640 | rl1=1.0-rl; |
---|
641 | closeCS = occupNb*(amol*(0.5-rl)+(1.0/rl)-(1.0/rl1)+(1.0-amol)*std::log(rl/rl1))/ene; |
---|
642 | cumulHardCS->push_back(totalHardCS); |
---|
643 | typeOfInteraction->push_back(3.0); //close |
---|
644 | nbOfLevel->push_back((G4double) i); |
---|
645 | totalHardCS += closeCS; |
---|
646 | } |
---|
647 | } |
---|
648 | } // loop on the levels |
---|
649 | |
---|
650 | cumulHardCS->push_back(totalHardCS); |
---|
651 | typeOfInteraction->push_back(4.0); //close interaction with outer shells |
---|
652 | nbOfLevel->push_back(-1.0); |
---|
653 | totalHardCS += involvedElectrons*closeCS0; |
---|
654 | cumulHardCS->push_back(totalHardCS); //this is the final value of the totalHardCS |
---|
655 | |
---|
656 | if (totalHardCS < 1e-30) { |
---|
657 | kineticEnergy1=ene; |
---|
658 | cosThetaPrimary=1.0; |
---|
659 | energySecondary=0.0; |
---|
660 | cosThetaSecondary=0.0; |
---|
661 | iOsc=-1; |
---|
662 | delete qm; |
---|
663 | delete cumulHardCS; |
---|
664 | delete typeOfInteraction; |
---|
665 | delete nbOfLevel; |
---|
666 | return; |
---|
667 | } |
---|
668 | |
---|
669 | |
---|
670 | //Selection of the active oscillator on the basis of the cumulative cross sections |
---|
671 | G4double TST = totalHardCS*G4UniformRand(); |
---|
672 | G4int is=0; |
---|
673 | G4int js= nbOfLevel->size(); |
---|
674 | do{ |
---|
675 | G4int it=(is+js)/2; |
---|
676 | if (TST > (*cumulHardCS)[it]) is=it; |
---|
677 | if (TST <= (*cumulHardCS)[it]) js=it; |
---|
678 | }while((js-is) > 1); |
---|
679 | |
---|
680 | G4double UII=0.0; |
---|
681 | G4double rkc=cutoff/ene; |
---|
682 | G4double dde; |
---|
683 | G4int kks; |
---|
684 | |
---|
685 | G4double sampledInteraction = (*typeOfInteraction)[is]; |
---|
686 | iOsc = (G4int) (*nbOfLevel)[is]; |
---|
687 | |
---|
688 | //Generates the final state according to the sampled level and |
---|
689 | //interaction channel |
---|
690 | |
---|
691 | if (sampledInteraction == 1.0) //Hard distant longitudinal collisions |
---|
692 | { |
---|
693 | dde= (*(resonanceEnergy->find(Z)->second))[iOsc]; |
---|
694 | kineticEnergy1=ene-dde; |
---|
695 | G4double qs=(*qm)[iOsc]/(1.0+((*qm)[iOsc]/(2.0*electron_mass_c2))); |
---|
696 | G4double q=qs/(std::pow((qs/dde)*(1.0+(0.5*dde/electron_mass_c2)),G4UniformRand())-(0.5*qs/electron_mass_c2)); |
---|
697 | G4double qtrev = q*(q+2.0*electron_mass_c2); |
---|
698 | G4double cpps = kineticEnergy1*(kineticEnergy1+2.0*electron_mass_c2); |
---|
699 | cosThetaPrimary = (cpps+cps-qtrev)/(2.0*cp*std::sqrt(cpps)); |
---|
700 | if (cosThetaPrimary>1.0) cosThetaPrimary=1.0; |
---|
701 | //Energy and emission angle of the delta ray |
---|
702 | kks = (G4int) (*(shellFlag->find(Z)->second))[iOsc]; |
---|
703 | if (kks>4) |
---|
704 | { |
---|
705 | energySecondary=dde; |
---|
706 | } |
---|
707 | else |
---|
708 | { |
---|
709 | energySecondary=dde-(*(ionizationEnergy->find(Z)->second))[iOsc]; |
---|
710 | } |
---|
711 | cosThetaSecondary = 0.5*(dde*(ene+rb-dde)+qtrev)/std::sqrt(cps*qtrev); |
---|
712 | if (cosThetaSecondary>1.0) cosThetaSecondary=1.0; |
---|
713 | } |
---|
714 | |
---|
715 | else if (sampledInteraction == 2.0) //Hard distant transverse collisions |
---|
716 | { |
---|
717 | dde=(*(resonanceEnergy->find(Z)->second))[iOsc]; |
---|
718 | kineticEnergy1=ene-dde; |
---|
719 | cosThetaPrimary=1.0; |
---|
720 | //Energy and emission angle of the delta ray |
---|
721 | kks = (G4int) (*(shellFlag->find(Z)->second))[iOsc]; |
---|
722 | if (kks>4) |
---|
723 | { |
---|
724 | energySecondary=dde; |
---|
725 | } |
---|
726 | else |
---|
727 | { |
---|
728 | energySecondary=dde-(*(ionizationEnergy->find(Z)->second))[iOsc]; |
---|
729 | } |
---|
730 | cosThetaSecondary = 1.0; |
---|
731 | } |
---|
732 | |
---|
733 | else if (sampledInteraction == 3.0 || sampledInteraction == 4.0) //Close interaction |
---|
734 | { |
---|
735 | if (sampledInteraction == 4.0) //interaction with inner shells |
---|
736 | { |
---|
737 | UII=0.0; |
---|
738 | rkc = cutoff/ene; |
---|
739 | iOsc = -1; |
---|
740 | } |
---|
741 | else |
---|
742 | { |
---|
743 | kks = (G4int) (*(shellFlag->find(Z)->second))[iOsc]; |
---|
744 | if (kks > 4) { |
---|
745 | UII=0.0; |
---|
746 | } |
---|
747 | else |
---|
748 | { |
---|
749 | UII = (*(ionizationEnergy->find(Z)->second))[iOsc]; |
---|
750 | } |
---|
751 | rkc = (*(resonanceEnergy->find(Z)->second))[iOsc]/ene; |
---|
752 | } |
---|
753 | G4double A = 0.5*amol; |
---|
754 | G4double arkc = A*0.5*rkc; |
---|
755 | G4double phi,rk2,rk,rkf; |
---|
756 | do{ |
---|
757 | G4double fb = (1.0+arkc)*G4UniformRand(); |
---|
758 | if (fb<1.0) |
---|
759 | { |
---|
760 | rk=rkc/(1.0-fb*(1.0-(rkc*2.0))); |
---|
761 | } |
---|
762 | else{ |
---|
763 | rk = rkc+(fb-1.0)*(0.5-rkc)/arkc; |
---|
764 | } |
---|
765 | rk2 = rk*rk; |
---|
766 | rkf = rk/(1.0-rk); |
---|
767 | phi = 1.0+(rkf*rkf)-rkf+amol*(rk2+rkf); |
---|
768 | }while ((G4UniformRand()*(1.0+A*rk2)) > phi); |
---|
769 | //Energy and scattering angle (primary electron); |
---|
770 | kineticEnergy1 = ene*(1.0-rk); |
---|
771 | cosThetaPrimary = std::sqrt(kineticEnergy1*rb/(ene*(rb-(rk*ene)))); |
---|
772 | //Energy and scattering angle of the delta ray |
---|
773 | energySecondary = ene-kineticEnergy1-UII; |
---|
774 | cosThetaSecondary = std::sqrt(rk*ene*rb/(ene*(rk*ene+2.0*electron_mass_c2))); |
---|
775 | } |
---|
776 | |
---|
777 | else |
---|
778 | |
---|
779 | { |
---|
780 | G4String excep = "G4PenelopeIonisation - Error in the calculation of the final state"; |
---|
781 | G4Exception(excep); |
---|
782 | } |
---|
783 | |
---|
784 | delete qm; |
---|
785 | delete cumulHardCS; |
---|
786 | delete typeOfInteraction; |
---|
787 | delete nbOfLevel; |
---|
788 | |
---|
789 | return; |
---|
790 | } |
---|
791 | |
---|
792 | void G4PenelopeIonisation::ReadData() |
---|
793 | { |
---|
794 | char* path = getenv("G4LEDATA"); |
---|
795 | if (!path) |
---|
796 | { |
---|
797 | G4String excep = "G4PenelopeIonisation - G4LEDATA environment variable not set!"; |
---|
798 | G4Exception(excep); |
---|
799 | } |
---|
800 | G4String pathString(path); |
---|
801 | G4String pathFile = pathString + "/penelope/ion-pen.dat"; |
---|
802 | std::ifstream file(pathFile); |
---|
803 | std::filebuf* lsdp = file.rdbuf(); |
---|
804 | |
---|
805 | if (!(lsdp->is_open())) |
---|
806 | { |
---|
807 | G4String excep = "G4PenelopeIonisation - data file " + pathFile + " not found!"; |
---|
808 | G4Exception(excep); |
---|
809 | } |
---|
810 | |
---|
811 | G4int k1,test,test1,k2,k3; |
---|
812 | G4double a1,a2,a3,a4; |
---|
813 | G4int Z=1,nLevels=0; |
---|
814 | G4DataVector* x1; |
---|
815 | G4DataVector* x2; |
---|
816 | G4DataVector* x3; |
---|
817 | G4DataVector* x4; |
---|
818 | |
---|
819 | do{ |
---|
820 | x1 = new G4DataVector; |
---|
821 | x2 = new G4DataVector; |
---|
822 | x3 = new G4DataVector; |
---|
823 | x4 = new G4DataVector; |
---|
824 | file >> Z >> nLevels; |
---|
825 | for (G4int h=0;h<nLevels;h++){ |
---|
826 | //index,occup number,ion energy,res energy,fj0,kz,shell flag |
---|
827 | file >> k1 >> a1 >> a2 >> a3 >> a4 >> k2 >> k3; |
---|
828 | x1->push_back(a1); |
---|
829 | x2->push_back(a2); |
---|
830 | x3->push_back(a3); |
---|
831 | x4->push_back((G4double) k3); |
---|
832 | } |
---|
833 | occupationNumber->insert(std::make_pair(Z,x1)); |
---|
834 | ionizationEnergy->insert(std::make_pair(Z,x2)); |
---|
835 | resonanceEnergy->insert(std::make_pair(Z,x3)); |
---|
836 | shellFlag->insert(std::make_pair(Z,x4)); |
---|
837 | file >> test >> test1; //-1 -1 close the data for each Z |
---|
838 | if (test > 0) { |
---|
839 | G4String excep = "G4PenelopeIonisation - data file corrupted!"; |
---|
840 | G4Exception(excep); |
---|
841 | } |
---|
842 | }while (test != -2); //the very last Z is closed with -2 instead of -1 |
---|
843 | } |
---|
844 | |
---|
845 | |
---|
846 | G4double G4PenelopeIonisation::CalculateDeltaFermi(G4double ene,G4int Z, |
---|
847 | G4double electronVolumeDensity) |
---|
848 | { |
---|
849 | G4double plasmaEnergyCoefficient = 1.377e-39; //(e*hbar)^2/(epsilon0*electron_mass) |
---|
850 | G4double plasmaEnergySquared = plasmaEnergyCoefficient*(electronVolumeDensity*m3); |
---|
851 | // std::sqrt(plasmaEnergySquared) is the plasma energy of the solid (MeV) |
---|
852 | G4double gam = 1.0+ene/electron_mass_c2; |
---|
853 | G4double gam2=gam*gam; |
---|
854 | G4double delta = 0.0; |
---|
855 | |
---|
856 | //Density effect |
---|
857 | G4double TST = ((G4double) Z)/(gam2*plasmaEnergySquared); |
---|
858 | |
---|
859 | G4double wl2 = 0.0; |
---|
860 | G4double fdel=0.0; |
---|
861 | G4double wr=0; |
---|
862 | G4double help1=0.0; |
---|
863 | size_t nbOsc = resonanceEnergy->find(Z)->second->size(); |
---|
864 | for(size_t i=0;i<nbOsc;i++) |
---|
865 | { |
---|
866 | G4int occupNb = (G4int) (*(occupationNumber->find(Z)->second))[i]; |
---|
867 | wr = (*(resonanceEnergy->find(Z)->second))[i]; |
---|
868 | fdel += occupNb/(wr*wr+wl2); |
---|
869 | } |
---|
870 | if (fdel < TST) return delta; |
---|
871 | help1 = (*(resonanceEnergy->find(Z)->second))[nbOsc-1]; |
---|
872 | wl2 = help1*help1; |
---|
873 | do{ |
---|
874 | wl2=wl2*2.0; |
---|
875 | fdel = 0.0; |
---|
876 | for (size_t ii=0;ii<nbOsc;ii++){ |
---|
877 | G4int occupNb = (G4int) (*(occupationNumber->find(Z)->second))[ii]; |
---|
878 | wr = (*(resonanceEnergy->find(Z)->second))[ii]; |
---|
879 | fdel += occupNb/(wr*wr+wl2); |
---|
880 | } |
---|
881 | }while (fdel > TST); |
---|
882 | G4double wl2l=0.0; |
---|
883 | G4double wl2u = wl2; |
---|
884 | G4double control = 0.0; |
---|
885 | do{ |
---|
886 | wl2=0.5*(wl2l+wl2u); |
---|
887 | fdel = 0.0; |
---|
888 | for (size_t jj=0;jj<nbOsc;jj++){ |
---|
889 | G4int occupNb = (G4int) (*(occupationNumber->find(Z)->second))[jj]; |
---|
890 | wr = (*(resonanceEnergy->find(Z)->second))[jj]; |
---|
891 | fdel += occupNb/(wr*wr+wl2); |
---|
892 | } |
---|
893 | if (fdel > TST) |
---|
894 | { |
---|
895 | wl2l = wl2; |
---|
896 | } |
---|
897 | else |
---|
898 | { |
---|
899 | wl2u = wl2; |
---|
900 | } |
---|
901 | control = wl2u-wl2l-wl2*1e-12; |
---|
902 | }while(control>0); |
---|
903 | |
---|
904 | //Density correction effect |
---|
905 | for (size_t kk=0;kk<nbOsc;kk++){ |
---|
906 | G4int occupNb = (G4int) (*(occupationNumber->find(Z)->second))[kk]; |
---|
907 | wr = (*(resonanceEnergy->find(Z)->second))[kk]; |
---|
908 | delta += occupNb*std::log(1.0+wl2/(wr*wr)); |
---|
909 | } |
---|
910 | delta = (delta/((G4double) Z))-wl2/(gam2*plasmaEnergySquared); |
---|
911 | return delta; |
---|
912 | } |
---|
913 | |
---|
914 | G4double G4PenelopeIonisation::CalculateContinuous(G4double ene,G4double cutoff, |
---|
915 | G4int Z,G4double electronVolumeDensity, |
---|
916 | const G4ParticleDefinition& particle) |
---|
917 | { |
---|
918 | //Constants |
---|
919 | G4double gamma = 1.0+ene/electron_mass_c2; |
---|
920 | G4double gamma2 = gamma*gamma; |
---|
921 | G4double beta2 = (gamma2-1.0)/gamma2; |
---|
922 | G4double constant = pi*classic_electr_radius*classic_electr_radius |
---|
923 | *2.0*electron_mass_c2/beta2; |
---|
924 | |
---|
925 | |
---|
926 | G4double delta = CalculateDeltaFermi(ene,Z,electronVolumeDensity); |
---|
927 | G4int nbOsc = (G4int) resonanceEnergy->find(Z)->second->size(); |
---|
928 | G4double S1 = 0.0; |
---|
929 | G4double stoppingPower = 0.0; |
---|
930 | for (G4int i=0;i<nbOsc;i++){ |
---|
931 | G4double resEnergy = (*(resonanceEnergy->find(Z)->second))[i]; |
---|
932 | if (&particle == G4Electron::Electron()) |
---|
933 | { |
---|
934 | S1 = CalculateStoppingPowerForElectrons(ene,resEnergy,delta,cutoff); |
---|
935 | } |
---|
936 | else if (&particle == G4Positron::Positron()) |
---|
937 | { |
---|
938 | S1 = CalculateStoppingPowerForPositrons(ene,resEnergy,delta,cutoff); |
---|
939 | } |
---|
940 | G4double occupNb = (*(occupationNumber->find(Z)->second))[i]; |
---|
941 | stoppingPower += occupNb*constant*S1; |
---|
942 | } |
---|
943 | |
---|
944 | return stoppingPower; |
---|
945 | } |
---|
946 | |
---|
947 | G4double G4PenelopeIonisation::CalculateStoppingPowerForElectrons(G4double ene,G4double resEne, |
---|
948 | G4double delta,G4double cutoff) |
---|
949 | { |
---|
950 | //Calculate constants |
---|
951 | G4double gamma = 1.0+ene/electron_mass_c2; |
---|
952 | G4double gamma2 = gamma*gamma; |
---|
953 | G4double beta2 = (gamma2-1.0)/gamma2; |
---|
954 | G4double cps = ene*(ene+2.0*electron_mass_c2); |
---|
955 | G4double amol = (gamma-1.0)*(gamma-1.0)/gamma2; |
---|
956 | G4double sPower = 0.0; |
---|
957 | if (ene < resEne) return sPower; |
---|
958 | |
---|
959 | //Distant interactions |
---|
960 | G4double cp1s = (ene-resEne)*(ene-resEne+2.0*electron_mass_c2); |
---|
961 | G4double cp1 = std::sqrt(cp1s); |
---|
962 | G4double cp = std::sqrt(cps); |
---|
963 | G4double sdLong=0.0, sdTrans = 0.0, sdDist=0.0; |
---|
964 | |
---|
965 | //Distant longitudinal interactions |
---|
966 | G4double qm = 0.0; |
---|
967 | |
---|
968 | if (resEne > ene*(1e-6)) |
---|
969 | { |
---|
970 | qm = std::sqrt((cp-cp1)*(cp-cp1)+(electron_mass_c2*electron_mass_c2))-electron_mass_c2; |
---|
971 | } |
---|
972 | else |
---|
973 | { |
---|
974 | qm = resEne*resEne/(beta2*2.0*electron_mass_c2); |
---|
975 | qm = qm*(1.0-0.5*qm/electron_mass_c2); |
---|
976 | } |
---|
977 | |
---|
978 | if (qm < resEne) |
---|
979 | { |
---|
980 | sdLong = std::log(resEne*(qm+2.0*electron_mass_c2)/(qm*(resEne+2.0*electron_mass_c2))); |
---|
981 | } |
---|
982 | else |
---|
983 | { |
---|
984 | sdLong = 0.0; |
---|
985 | } |
---|
986 | |
---|
987 | if (sdLong > 0) { |
---|
988 | sdTrans = std::max(std::log(gamma2)-beta2-delta,0.0); |
---|
989 | sdDist = sdTrans + sdLong; |
---|
990 | if (cutoff > resEne) sPower = sdDist; |
---|
991 | } |
---|
992 | |
---|
993 | |
---|
994 | // Close collisions (Moeller's cross section) |
---|
995 | G4double wl = std::max(cutoff,resEne); |
---|
996 | G4double wu = 0.5*ene; |
---|
997 | |
---|
998 | if (wl < (wu-1*eV)) wu=wl; |
---|
999 | wl = resEne; |
---|
1000 | if (wl > (wu-1*eV)) return sPower; |
---|
1001 | sPower += std::log(wu/wl)+(ene/(ene-wu))-(ene/(ene-wl)) |
---|
1002 | + (2.0 - amol)*std::log((ene-wu)/(ene-wl)) |
---|
1003 | + amol*((wu*wu)-(wl*wl))/(2.0*ene*ene); |
---|
1004 | |
---|
1005 | return sPower; |
---|
1006 | } |
---|
1007 | |
---|
1008 | G4double G4PenelopeIonisation::CalculateStoppingPowerForPositrons(G4double ene,G4double resEne, |
---|
1009 | G4double delta,G4double cutoff) |
---|
1010 | { |
---|
1011 | //Calculate constants |
---|
1012 | G4double gamma = 1.0+ene/electron_mass_c2; |
---|
1013 | G4double gamma2 = gamma*gamma; |
---|
1014 | G4double beta2 = (gamma2-1.0)/gamma2; |
---|
1015 | G4double cps = ene*(ene+2.0*electron_mass_c2); |
---|
1016 | G4double amol = (ene/(ene+electron_mass_c2)) * (ene/(ene+electron_mass_c2)); |
---|
1017 | G4double help = (gamma+1.0)*(gamma+1.0); |
---|
1018 | G4double bha1 = amol*(2.0*help-1.0)/(gamma2-1.0); |
---|
1019 | G4double bha2 = amol*(3.0+1.0/help); |
---|
1020 | G4double bha3 = amol*2.0*gamma*(gamma-1.0)/help; |
---|
1021 | G4double bha4 = amol*(gamma-1.0)*(gamma-1.0)/help; |
---|
1022 | |
---|
1023 | G4double sPower = 0.0; |
---|
1024 | if (ene < resEne) return sPower; |
---|
1025 | |
---|
1026 | //Distant interactions |
---|
1027 | G4double cp1s = (ene-resEne)*(ene-resEne+2.0*electron_mass_c2); |
---|
1028 | G4double cp1 = std::sqrt(cp1s); |
---|
1029 | G4double cp = std::sqrt(cps); |
---|
1030 | G4double sdLong=0.0, sdTrans = 0.0, sdDist=0.0; |
---|
1031 | |
---|
1032 | //Distant longitudinal interactions |
---|
1033 | G4double qm = 0.0; |
---|
1034 | |
---|
1035 | if (resEne > ene*(1e-6)) |
---|
1036 | { |
---|
1037 | qm = std::sqrt((cp-cp1)*(cp-cp1)+(electron_mass_c2*electron_mass_c2))-electron_mass_c2; |
---|
1038 | } |
---|
1039 | else |
---|
1040 | { |
---|
1041 | qm = resEne*resEne/(beta2*2.0*electron_mass_c2); |
---|
1042 | qm = qm*(1.0-0.5*qm/electron_mass_c2); |
---|
1043 | } |
---|
1044 | |
---|
1045 | if (qm < resEne) |
---|
1046 | { |
---|
1047 | sdLong = std::log(resEne*(qm+2.0*electron_mass_c2)/(qm*(resEne+2.0*electron_mass_c2))); |
---|
1048 | } |
---|
1049 | else |
---|
1050 | { |
---|
1051 | sdLong = 0.0; |
---|
1052 | } |
---|
1053 | |
---|
1054 | if (sdLong > 0) { |
---|
1055 | sdTrans = std::max(std::log(gamma2)-beta2-delta,0.0); |
---|
1056 | sdDist = sdTrans + sdLong; |
---|
1057 | if (cutoff > resEne) sPower = sdDist; |
---|
1058 | } |
---|
1059 | |
---|
1060 | |
---|
1061 | // Close collisions (Bhabha's cross section) |
---|
1062 | G4double wl = std::max(cutoff,resEne); |
---|
1063 | G4double wu = ene; |
---|
1064 | |
---|
1065 | if (wl < (wu-1*eV)) wu=wl; |
---|
1066 | wl = resEne; |
---|
1067 | if (wl > (wu-1*eV)) return sPower; |
---|
1068 | sPower += std::log(wu/wl)-bha1*(wu-wl)/ene |
---|
1069 | + bha2*((wu*wu)-(wl*wl))/(2.0*ene*ene) |
---|
1070 | - bha3*((wu*wu*wu)-(wl*wl*wl))/(3.0*ene*ene*ene) |
---|
1071 | + bha4*((wu*wu*wu*wu)-(wl*wl*wl*wl))/(4.0*ene*ene*ene*ene); |
---|
1072 | |
---|
1073 | return sPower; |
---|
1074 | } |
---|
1075 | |
---|
1076 | void G4PenelopeIonisation::CalculateDiscreteForPositrons(G4double ene,G4double cutoff, |
---|
1077 | G4int Z,G4double electronVolumeDensity) |
---|
1078 | |
---|
1079 | { |
---|
1080 | kineticEnergy1=ene; |
---|
1081 | cosThetaPrimary=1.0; |
---|
1082 | energySecondary=0.0; |
---|
1083 | cosThetaSecondary=1.0; |
---|
1084 | iOsc=-1; |
---|
1085 | //constants |
---|
1086 | G4double rb=ene+2.0*electron_mass_c2; |
---|
1087 | G4double gamma = 1.0+ene/electron_mass_c2; |
---|
1088 | G4double gamma2 = gamma*gamma; |
---|
1089 | G4double beta2 = (gamma2-1.0)/gamma2; |
---|
1090 | G4double amol = (gamma-1.0)*(gamma-1.0)/gamma2; |
---|
1091 | G4double cps = ene*rb; |
---|
1092 | G4double cp = std::sqrt(cps); |
---|
1093 | G4double help = (gamma+1.0)*(gamma+1.0); |
---|
1094 | G4double bha1 = amol*(2.0*help-1.0)/(gamma2-1.0); |
---|
1095 | G4double bha2 = amol*(3.0+1.0/help); |
---|
1096 | G4double bha3 = amol*2.0*gamma*(gamma-1.0)/help; |
---|
1097 | G4double bha4 = amol*(gamma-1.0)*(gamma-1.0)/help; |
---|
1098 | |
---|
1099 | G4double delta = CalculateDeltaFermi(ene,Z,electronVolumeDensity); |
---|
1100 | G4double distantTransvCS0 = std::max(std::log(gamma2)-beta2-delta,0.0); |
---|
1101 | |
---|
1102 | G4double rl,rl1; |
---|
1103 | |
---|
1104 | if (cutoff > ene) return; //delta rays are not generated |
---|
1105 | |
---|
1106 | G4DataVector* qm = new G4DataVector(); |
---|
1107 | G4DataVector* cumulHardCS = new G4DataVector(); |
---|
1108 | G4DataVector* typeOfInteraction = new G4DataVector(); |
---|
1109 | G4DataVector* nbOfLevel = new G4DataVector(); |
---|
1110 | |
---|
1111 | |
---|
1112 | //Hard close collisions with outer shells |
---|
1113 | G4double wmaxc = ene; |
---|
1114 | G4double closeCS0 = 0.0; |
---|
1115 | G4double closeCS = 0.0; |
---|
1116 | if (cutoff>0.1*eV) |
---|
1117 | { |
---|
1118 | rl=cutoff/ene; |
---|
1119 | rl1=1.0-rl; |
---|
1120 | if (rl < 1.0) |
---|
1121 | closeCS0 = (((1.0/rl)-1.0) + bha1*std::log(rl) + bha2*rl1 |
---|
1122 | + (bha3/2.0)*((rl*rl)-1.0) |
---|
1123 | + (bha4/3.0)*(1.0-(rl*rl*rl)))/ene; |
---|
1124 | } |
---|
1125 | |
---|
1126 | // Cross sections for the different oscillators |
---|
1127 | |
---|
1128 | // totalHardCS contains the cumulative hard interaction cross section for the different |
---|
1129 | // excitable levels and the different interaction channels (close, distant, etc.), |
---|
1130 | // i.e. |
---|
1131 | // cumulHardCS[0] = 0.0 |
---|
1132 | // cumulHardCS[1] = 1st excitable level (distant longitudinal only) |
---|
1133 | // cumulHardCS[2] = 1st excitable level (distant longitudinal + transverse) |
---|
1134 | // cumulHardCS[3] = 1st excitable level (distant longitudinal + transverse + close) |
---|
1135 | // cumulHardCS[4] = 1st excitable level (all channels) + 2nd excitable level (distant long only) |
---|
1136 | // etc. |
---|
1137 | // This is used for sampling the atomic level which is ionised and the channel of the |
---|
1138 | // interaction. |
---|
1139 | // |
---|
1140 | // For each index iFill of the cumulHardCS vector, |
---|
1141 | // nbOfLevel[iFill] contains the current excitable atomic level and |
---|
1142 | // typeOfInteraction[iFill] contains the current interaction channel, with the legenda: |
---|
1143 | // 1 = distant longitudinal interaction |
---|
1144 | // 2 = distant transverse interaction |
---|
1145 | // 3 = close collision |
---|
1146 | // 4 = close collision with outer shells (in this case nbOfLevel < 0 --> no binding energy) |
---|
1147 | |
---|
1148 | |
---|
1149 | G4int nOscil = ionizationEnergy->find(Z)->second->size(); |
---|
1150 | G4double totalHardCS = 0.0; |
---|
1151 | G4double involvedElectrons = 0.0; |
---|
1152 | for (G4int i=0;i<nOscil;i++){ |
---|
1153 | G4double wi = (*(resonanceEnergy->find(Z)->second))[i]; |
---|
1154 | G4int occupNb = (G4int) (*(occupationNumber->find(Z)->second))[i]; |
---|
1155 | //Distant excitations |
---|
1156 | if (wi>cutoff && wi<ene) |
---|
1157 | { |
---|
1158 | if (wi>(1e-6*ene)){ |
---|
1159 | G4double cpp=std::sqrt((ene-wi)*(ene-wi+2.0*electron_mass_c2)); |
---|
1160 | qm->push_back(std::sqrt((cp-cpp)*(cp-cpp)+ electron_mass_c2 * electron_mass_c2)-electron_mass_c2); |
---|
1161 | } |
---|
1162 | else |
---|
1163 | { |
---|
1164 | qm->push_back(wi*wi/(beta2+2.0*electron_mass_c2)); |
---|
1165 | } |
---|
1166 | //verificare che quando arriva qui il vettore ha SEMPRE l'i-esimo elemento |
---|
1167 | if ((*qm)[i] < wi) |
---|
1168 | { |
---|
1169 | |
---|
1170 | G4double distantLongitCS = occupNb*std::log(wi*((*qm)[i]+2.0*electron_mass_c2)/ |
---|
1171 | ((*qm)[i]*(wi+2.0*electron_mass_c2)))/wi; |
---|
1172 | cumulHardCS->push_back(totalHardCS); |
---|
1173 | typeOfInteraction->push_back(1.0); //distant longitudinal |
---|
1174 | nbOfLevel->push_back((G4double) i); //only excitable level are counted |
---|
1175 | totalHardCS += distantLongitCS; |
---|
1176 | |
---|
1177 | G4double distantTransvCS = occupNb*distantTransvCS0/wi; |
---|
1178 | |
---|
1179 | cumulHardCS->push_back(totalHardCS); |
---|
1180 | typeOfInteraction->push_back(2.0); //distant tranverse |
---|
1181 | nbOfLevel->push_back((G4double) i); |
---|
1182 | totalHardCS += distantTransvCS; |
---|
1183 | } |
---|
1184 | } |
---|
1185 | else |
---|
1186 | { |
---|
1187 | qm->push_back(wi); |
---|
1188 | } |
---|
1189 | //close collisions |
---|
1190 | if(wi < wmaxc){ |
---|
1191 | if (wi < cutoff) { |
---|
1192 | involvedElectrons += occupNb; |
---|
1193 | } |
---|
1194 | else |
---|
1195 | { |
---|
1196 | rl=wi/ene; |
---|
1197 | rl1=1.0-rl; |
---|
1198 | closeCS = occupNb*(((1.0/rl)-1.0)+bha1*std::log(rl)+bha2*rl1 |
---|
1199 | + (bha3/2.0)*((rl*rl)-1.0) |
---|
1200 | + (bha4/3.0)*(1.0-(rl*rl*rl)))/ene; |
---|
1201 | cumulHardCS->push_back(totalHardCS); |
---|
1202 | typeOfInteraction->push_back(3.0); //close |
---|
1203 | nbOfLevel->push_back((G4double) i); |
---|
1204 | totalHardCS += closeCS; |
---|
1205 | } |
---|
1206 | } |
---|
1207 | } // loop on the levels |
---|
1208 | |
---|
1209 | cumulHardCS->push_back(totalHardCS); |
---|
1210 | typeOfInteraction->push_back(4.0); //close interaction with outer shells |
---|
1211 | nbOfLevel->push_back(-1.0); |
---|
1212 | totalHardCS += involvedElectrons*closeCS0; |
---|
1213 | cumulHardCS->push_back(totalHardCS); //this is the final value of the totalHardCS |
---|
1214 | |
---|
1215 | if (totalHardCS < 1e-30) { |
---|
1216 | kineticEnergy1=ene; |
---|
1217 | cosThetaPrimary=1.0; |
---|
1218 | energySecondary=0.0; |
---|
1219 | cosThetaSecondary=0.0; |
---|
1220 | iOsc=-1; |
---|
1221 | delete qm; |
---|
1222 | delete cumulHardCS; |
---|
1223 | delete typeOfInteraction; |
---|
1224 | delete nbOfLevel; |
---|
1225 | return; |
---|
1226 | } |
---|
1227 | |
---|
1228 | |
---|
1229 | //Selection of the active oscillator on the basis of the cumulative cross sections |
---|
1230 | G4double TST = totalHardCS*G4UniformRand(); |
---|
1231 | G4int is=0; |
---|
1232 | G4int js= nbOfLevel->size(); |
---|
1233 | do{ |
---|
1234 | G4int it=(is+js)/2; |
---|
1235 | if (TST > (*cumulHardCS)[it]) is=it; |
---|
1236 | if (TST <= (*cumulHardCS)[it]) js=it; |
---|
1237 | }while((js-is) > 1); |
---|
1238 | |
---|
1239 | G4double UII=0.0; |
---|
1240 | G4double rkc=cutoff/ene; |
---|
1241 | G4double dde; |
---|
1242 | G4int kks; |
---|
1243 | |
---|
1244 | G4double sampledInteraction = (*typeOfInteraction)[is]; |
---|
1245 | iOsc = (G4int) (*nbOfLevel)[is]; |
---|
1246 | |
---|
1247 | //Generates the final state according to the sampled level and |
---|
1248 | //interaction channel |
---|
1249 | |
---|
1250 | if (sampledInteraction == 1.0) //Hard distant longitudinal collisions |
---|
1251 | { |
---|
1252 | dde= (*(resonanceEnergy->find(Z)->second))[iOsc]; |
---|
1253 | kineticEnergy1=ene-dde; |
---|
1254 | G4double qs=(*qm)[iOsc]/(1.0+((*qm)[iOsc]/(2.0*electron_mass_c2))); |
---|
1255 | G4double q=qs/(std::pow((qs/dde)*(1.0+(0.5*dde/electron_mass_c2)),G4UniformRand())-(0.5*qs/electron_mass_c2)); |
---|
1256 | G4double qtrev = q*(q+2.0*electron_mass_c2); |
---|
1257 | G4double cpps = kineticEnergy1*(kineticEnergy1+2.0*electron_mass_c2); |
---|
1258 | cosThetaPrimary = (cpps+cps-qtrev)/(2.0*cp*std::sqrt(cpps)); |
---|
1259 | if (cosThetaPrimary>1.0) cosThetaPrimary=1.0; |
---|
1260 | //Energy and emission angle of the delta ray |
---|
1261 | kks = (G4int) (*(shellFlag->find(Z)->second))[iOsc]; |
---|
1262 | if (kks>4) |
---|
1263 | { |
---|
1264 | energySecondary=dde; |
---|
1265 | } |
---|
1266 | else |
---|
1267 | { |
---|
1268 | energySecondary=dde-(*(ionizationEnergy->find(Z)->second))[iOsc]; |
---|
1269 | } |
---|
1270 | cosThetaSecondary = 0.5*(dde*(ene+rb-dde)+qtrev)/std::sqrt(cps*qtrev); |
---|
1271 | if (cosThetaSecondary>1.0) cosThetaSecondary=1.0; |
---|
1272 | } |
---|
1273 | |
---|
1274 | else if (sampledInteraction == 2.0) //Hard distant transverse collisions |
---|
1275 | { |
---|
1276 | dde=(*(resonanceEnergy->find(Z)->second))[iOsc]; |
---|
1277 | kineticEnergy1=ene-dde; |
---|
1278 | cosThetaPrimary=1.0; |
---|
1279 | //Energy and emission angle of the delta ray |
---|
1280 | kks = (G4int) (*(shellFlag->find(Z)->second))[iOsc]; |
---|
1281 | if (kks>4) |
---|
1282 | { |
---|
1283 | energySecondary=dde; |
---|
1284 | } |
---|
1285 | else |
---|
1286 | { |
---|
1287 | energySecondary=dde-(*(ionizationEnergy->find(Z)->second))[iOsc]; |
---|
1288 | } |
---|
1289 | cosThetaSecondary = 1.0; |
---|
1290 | } |
---|
1291 | |
---|
1292 | else if (sampledInteraction == 3.0 || sampledInteraction == 4.0) //Close interaction |
---|
1293 | { |
---|
1294 | if (sampledInteraction == 4.0) //interaction with inner shells |
---|
1295 | { |
---|
1296 | UII=0.0; |
---|
1297 | rkc = cutoff/ene; |
---|
1298 | iOsc = -1; |
---|
1299 | } |
---|
1300 | else |
---|
1301 | { |
---|
1302 | kks = (G4int) (*(shellFlag->find(Z)->second))[iOsc]; |
---|
1303 | if (kks > 4) { |
---|
1304 | UII=0.0; |
---|
1305 | } |
---|
1306 | else |
---|
1307 | { |
---|
1308 | UII = (*(ionizationEnergy->find(Z)->second))[iOsc]; |
---|
1309 | } |
---|
1310 | rkc = (*(resonanceEnergy->find(Z)->second))[iOsc]/ene; |
---|
1311 | } |
---|
1312 | G4double phi,rk; |
---|
1313 | do{ |
---|
1314 | rk=rkc/(1.0-G4UniformRand()*(1.0-rkc)); |
---|
1315 | phi = 1.0-rk*(bha1-rk*(bha2-rk*(bha3-bha4*rk))); |
---|
1316 | }while ( G4UniformRand() > phi); |
---|
1317 | //Energy and scattering angle (primary electron); |
---|
1318 | kineticEnergy1 = ene*(1.0-rk); |
---|
1319 | cosThetaPrimary = std::sqrt(kineticEnergy1*rb/(ene*(rb-(rk*ene)))); |
---|
1320 | //Energy and scattering angle of the delta ray |
---|
1321 | energySecondary = ene-kineticEnergy1-UII; |
---|
1322 | cosThetaSecondary = std::sqrt(rk*ene*rb/(ene*(rk*ene+2.0*electron_mass_c2))); |
---|
1323 | } |
---|
1324 | else |
---|
1325 | { |
---|
1326 | G4String excep = "G4PenelopeIonisation - Error in the calculation of the final state"; |
---|
1327 | G4Exception(excep); |
---|
1328 | } |
---|
1329 | |
---|
1330 | delete qm; |
---|
1331 | delete cumulHardCS; |
---|
1332 | delete typeOfInteraction; |
---|
1333 | delete nbOfLevel; |
---|
1334 | |
---|
1335 | return; |
---|
1336 | } |
---|
1337 | |
---|
1338 | // This stuff in needed in order to interface with the Cross Section Handler |
---|
1339 | |
---|
1340 | G4double G4PenelopeIonisation::CalculateCrossSectionsRatio(G4double ene,G4double cutoff, |
---|
1341 | G4int Z,G4double electronVolumeDensity, |
---|
1342 | const G4ParticleDefinition& particle) |
---|
1343 | { |
---|
1344 | //Constants |
---|
1345 | G4double gamma = 1.0+ene/electron_mass_c2; |
---|
1346 | G4double gamma2 = gamma*gamma; |
---|
1347 | G4double beta2 = (gamma2-1.0)/gamma2; |
---|
1348 | G4double constant = pi*classic_electr_radius*classic_electr_radius*2.0*electron_mass_c2/beta2; |
---|
1349 | G4double delta = CalculateDeltaFermi(ene,Z,electronVolumeDensity); |
---|
1350 | G4int nbOsc = (G4int) resonanceEnergy->find(Z)->second->size(); |
---|
1351 | G4double S0 = 0.0, H0=0.0; |
---|
1352 | G4double softCS = 0.0; |
---|
1353 | G4double hardCS = 0.0; |
---|
1354 | for (G4int i=0;i<nbOsc;i++){ |
---|
1355 | G4double resEnergy = (*(resonanceEnergy->find(Z)->second))[i]; |
---|
1356 | if (&particle == G4Electron::Electron()) |
---|
1357 | { |
---|
1358 | S0 = CrossSectionsRatioForElectrons(ene,resEnergy,delta,cutoff,1); |
---|
1359 | H0 = CrossSectionsRatioForElectrons(ene,resEnergy,delta,cutoff,2); |
---|
1360 | } |
---|
1361 | else if (&particle == G4Positron::Positron()) |
---|
1362 | { |
---|
1363 | S0 = CrossSectionsRatioForPositrons(ene,resEnergy,delta,cutoff,1); |
---|
1364 | H0 = CrossSectionsRatioForPositrons(ene,resEnergy,delta,cutoff,2); |
---|
1365 | } |
---|
1366 | G4double occupNb = (*(occupationNumber->find(Z)->second))[i]; |
---|
1367 | softCS += occupNb*constant*S0; |
---|
1368 | hardCS += occupNb*constant*H0; |
---|
1369 | } |
---|
1370 | G4double ratio = 0.0; |
---|
1371 | if (softCS+hardCS) ratio = (hardCS)/(softCS+hardCS); |
---|
1372 | return ratio; |
---|
1373 | } |
---|
1374 | |
---|
1375 | |
---|
1376 | G4double G4PenelopeIonisation::CrossSectionsRatioForElectrons(G4double ene,G4double resEne, |
---|
1377 | G4double delta,G4double cutoff, |
---|
1378 | G4int index) |
---|
1379 | { |
---|
1380 | //Calculate constants |
---|
1381 | G4double gamma = 1.0+ene/electron_mass_c2; |
---|
1382 | G4double gamma2 = gamma*gamma; |
---|
1383 | G4double beta2 = (gamma2-1.0)/gamma2; |
---|
1384 | G4double cps = ene*(ene+2.0*electron_mass_c2); |
---|
1385 | G4double amol = (ene/(ene+electron_mass_c2)) * (ene/(ene+electron_mass_c2)) ; |
---|
1386 | G4double hardCont = 0.0; |
---|
1387 | G4double softCont = 0.0; |
---|
1388 | if (ene < resEne) return 0.0; |
---|
1389 | |
---|
1390 | //Distant interactions |
---|
1391 | G4double cp1s = (ene-resEne)*(ene-resEne+2.0*electron_mass_c2); |
---|
1392 | G4double cp1 = std::sqrt(cp1s); |
---|
1393 | G4double cp = std::sqrt(cps); |
---|
1394 | G4double sdLong=0.0, sdTrans = 0.0, sdDist=0.0; |
---|
1395 | |
---|
1396 | //Distant longitudinal interactions |
---|
1397 | G4double qm = 0.0; |
---|
1398 | |
---|
1399 | if (resEne > ene*(1e-6)) |
---|
1400 | { |
---|
1401 | qm = std::sqrt((cp-cp1)*(cp-cp1)+(electron_mass_c2*electron_mass_c2))-electron_mass_c2; |
---|
1402 | } |
---|
1403 | else |
---|
1404 | { |
---|
1405 | qm = resEne*resEne/(beta2*2.0*electron_mass_c2); |
---|
1406 | qm = qm*(1.0-0.5*qm/electron_mass_c2); |
---|
1407 | } |
---|
1408 | |
---|
1409 | if (qm < resEne) |
---|
1410 | { |
---|
1411 | sdLong = std::log(resEne*(qm+2.0*electron_mass_c2)/(qm*(resEne+2.0*electron_mass_c2))); |
---|
1412 | } |
---|
1413 | else |
---|
1414 | { |
---|
1415 | sdLong = 0.0; |
---|
1416 | } |
---|
1417 | |
---|
1418 | if (sdLong > 0) { |
---|
1419 | sdTrans = std::max(std::log(gamma2)-beta2-delta,0.0); |
---|
1420 | sdDist = sdTrans + sdLong; |
---|
1421 | if (cutoff > resEne) |
---|
1422 | { |
---|
1423 | softCont = sdDist/resEne; |
---|
1424 | } |
---|
1425 | else |
---|
1426 | { |
---|
1427 | hardCont = sdDist/resEne; |
---|
1428 | } |
---|
1429 | } |
---|
1430 | |
---|
1431 | |
---|
1432 | // Close collisions (Moeller's cross section) |
---|
1433 | G4double wl = std::max(cutoff,resEne); |
---|
1434 | G4double wu = 0.5*ene; |
---|
1435 | |
---|
1436 | if (wl < (wu-1*eV)) |
---|
1437 | { |
---|
1438 | hardCont += (1.0/(ene-wu))-(1.0/(ene-wl)) |
---|
1439 | - (1.0/wu)+(1.0/wl) |
---|
1440 | + (1.0-amol)*std::log(((ene-wu)*wl)/((ene-wl)*wu))/ene |
---|
1441 | + amol*(wu-wl)/(ene*ene); |
---|
1442 | wu=wl; |
---|
1443 | } |
---|
1444 | |
---|
1445 | wl = resEne; |
---|
1446 | if (wl > (wu-1*eV)) { |
---|
1447 | if (index == 1) return softCont; |
---|
1448 | if (index == 2) return hardCont; |
---|
1449 | } |
---|
1450 | softCont += (1.0/(ene-wu))-(1.0/(ene-wl)) |
---|
1451 | - (1.0/wu)+(1.0/wl) |
---|
1452 | + (1.0-amol)*std::log(((ene-wu)*wl)/((ene-wl)*wu))/ene |
---|
1453 | + amol*(wu-wl)/(ene*ene); |
---|
1454 | if (index == 1) return softCont; |
---|
1455 | return hardCont; |
---|
1456 | } |
---|
1457 | |
---|
1458 | G4double G4PenelopeIonisation::CrossSectionsRatioForPositrons(G4double ene,G4double resEne, |
---|
1459 | G4double delta,G4double cutoff,G4int index) |
---|
1460 | { |
---|
1461 | //Calculate constants |
---|
1462 | G4double gamma = 1.0+ene/electron_mass_c2; |
---|
1463 | G4double gamma2 = gamma*gamma; |
---|
1464 | G4double beta2 = (gamma2-1.0)/gamma2; |
---|
1465 | G4double cps = ene*(ene+2.0*electron_mass_c2); |
---|
1466 | G4double amol = (ene/(ene+electron_mass_c2)) * (ene/(ene+electron_mass_c2)) ; |
---|
1467 | G4double help = (gamma+1.0)*(gamma+1.0); |
---|
1468 | G4double bha1 = amol*(2.0*help-1.0)/(gamma2-1.0); |
---|
1469 | G4double bha2 = amol*(3.0+1.0/help); |
---|
1470 | G4double bha3 = amol*2.0*gamma*(gamma-1.0)/help; |
---|
1471 | G4double bha4 = amol*(gamma-1.0)*(gamma-1.0)/help; |
---|
1472 | G4double hardCont = 0.0; |
---|
1473 | G4double softCont = 0.0; |
---|
1474 | if (ene < resEne) return 0.0; |
---|
1475 | |
---|
1476 | |
---|
1477 | //Distant interactions |
---|
1478 | G4double cp1s = (ene-resEne)*(ene-resEne+2.0*electron_mass_c2); |
---|
1479 | G4double cp1 = std::sqrt(cp1s); |
---|
1480 | G4double cp = std::sqrt(cps); |
---|
1481 | G4double sdLong=0.0, sdTrans = 0.0, sdDist=0.0; |
---|
1482 | |
---|
1483 | //Distant longitudinal interactions |
---|
1484 | G4double qm = 0.0; |
---|
1485 | |
---|
1486 | if (resEne > ene*(1e-6)) |
---|
1487 | { |
---|
1488 | qm = std::sqrt((cp-cp1)*(cp-cp1)+(electron_mass_c2*electron_mass_c2))-electron_mass_c2; |
---|
1489 | } |
---|
1490 | else |
---|
1491 | { |
---|
1492 | qm = resEne*resEne/(beta2*2.0*electron_mass_c2); |
---|
1493 | qm = qm*(1.0-0.5*qm/electron_mass_c2); |
---|
1494 | } |
---|
1495 | |
---|
1496 | if (qm < resEne) |
---|
1497 | { |
---|
1498 | sdLong = std::log(resEne*(qm+2.0*electron_mass_c2)/(qm*(resEne+2.0*electron_mass_c2))); |
---|
1499 | } |
---|
1500 | else |
---|
1501 | { |
---|
1502 | sdLong = 0.0; |
---|
1503 | } |
---|
1504 | |
---|
1505 | if (sdLong > 0) { |
---|
1506 | sdTrans = std::max(std::log(gamma2)-beta2-delta,0.0); |
---|
1507 | sdDist = sdTrans + sdLong; |
---|
1508 | if (cutoff > resEne) |
---|
1509 | { |
---|
1510 | softCont = sdDist/resEne; |
---|
1511 | } |
---|
1512 | else |
---|
1513 | { |
---|
1514 | hardCont = sdDist/resEne; |
---|
1515 | } |
---|
1516 | } |
---|
1517 | |
---|
1518 | |
---|
1519 | // Close collisions (Bhabha's cross section) |
---|
1520 | G4double wl = std::max(cutoff,resEne); |
---|
1521 | G4double wu = ene; |
---|
1522 | |
---|
1523 | if (wl < (wu-1*eV)) { |
---|
1524 | hardCont += (1.0/wl)-(1.0/wu)-bha1*std::log(wu/wl)/ene |
---|
1525 | + bha2*(wu-wl)/(ene*ene) -bha3*((wu*wu)-(wl*wl))/(2.0*ene*ene*ene) |
---|
1526 | + bha4*((wu*wu*wu)-(wl*wl*wl))/(3.0*ene*ene*ene*ene); |
---|
1527 | wu=wl; |
---|
1528 | } |
---|
1529 | wl = resEne; |
---|
1530 | if (wl > (wu-1*eV)) |
---|
1531 | { |
---|
1532 | if (index == 1) return softCont; |
---|
1533 | if (index == 2) return hardCont; |
---|
1534 | } |
---|
1535 | softCont += (1.0/wl)-(1.0/wu)-bha1*std::log(wu/wl)/ene |
---|
1536 | + bha2*(wu-wl)/(ene*ene) -bha3*((wu*wu)-(wl*wl))/(2.0*ene*ene*ene) |
---|
1537 | + bha4*((wu*wu*wu)-(wl*wl*wl))/(3.0*ene*ene*ene*ene); |
---|
1538 | |
---|
1539 | if (index == 1) return softCont; |
---|
1540 | return hardCont; |
---|
1541 | } |
---|