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 | // $Id: G4PAIySection.cc,v 1.3 2007/10/01 18:38:10 vnivanch Exp $ |
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28 | // GEANT4 tag $Name: $ |
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29 | // |
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30 | // |
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31 | // G4PAIySection.cc -- class implementation file |
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32 | // |
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33 | // GEANT 4 class implementation file |
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34 | // |
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35 | // For information related to this code, please, contact |
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36 | // the Geant4 Collaboration. |
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37 | // |
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38 | // R&D: Vladimir.Grichine@cern.ch |
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39 | // |
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40 | // History: |
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41 | // |
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42 | // 01.10.07, V.Ivanchenko create using V.Grichine G4PAIxSection class |
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43 | // |
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44 | |
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45 | #include "G4PAIySection.hh" |
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46 | |
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47 | #include "globals.hh" |
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48 | #include "G4ios.hh" |
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49 | #include "G4Poisson.hh" |
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50 | #include "G4Material.hh" |
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51 | #include "G4MaterialCutsCouple.hh" |
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52 | #include "G4SandiaTable.hh" |
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53 | |
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54 | using namespace std; |
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55 | |
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56 | // Local class constants |
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57 | |
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58 | const G4double G4PAIySection::fDelta = 0.005 ; // energy shift from interval border |
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59 | const G4double G4PAIySection::fError = 0.005 ; // error in lin-log approximation |
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60 | |
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61 | const G4int G4PAIySection::fMaxSplineSize = 500 ; // Max size of output spline |
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62 | // arrays |
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63 | |
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64 | ////////////////////////////////////////////////////////////////// |
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65 | // |
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66 | // Constructor |
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67 | // |
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68 | |
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69 | G4PAIySection::G4PAIySection() |
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70 | {} |
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71 | |
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72 | //////////////////////////////////////////////////////////////////////////// |
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73 | // |
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74 | // Destructor |
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75 | |
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76 | G4PAIySection::~G4PAIySection() |
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77 | {} |
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78 | |
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79 | //////////////////////////////////////////////////////////////////////// |
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80 | // |
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81 | // Test Constructor with beta*gamma square value |
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82 | |
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83 | void G4PAIySection::Initialize( const G4Material* material, |
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84 | G4double maxEnergyTransfer, |
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85 | G4double betaGammaSq) |
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86 | { |
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87 | G4int i, j, numberOfElements ; |
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88 | |
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89 | fDensity = material->GetDensity(); |
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90 | fElectronDensity = material->GetElectronDensity() ; |
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91 | numberOfElements = material->GetNumberOfElements() ; |
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92 | |
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93 | fSandia = material->GetSandiaTable(); |
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94 | |
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95 | fIntervalNumber = fSandia->GetMaxInterval(); |
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96 | |
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97 | fIntervalNumber--; |
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98 | |
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99 | for(i=1;i<=fIntervalNumber;i++) |
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100 | { |
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101 | G4double e = fSandia->GetSandiaMatTablePAI(i,0); |
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102 | if(e >= maxEnergyTransfer || i > fIntervalNumber) |
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103 | { |
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104 | fEnergyInterval[i] = maxEnergyTransfer ; |
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105 | fIntervalNumber = i ; |
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106 | break; |
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107 | } |
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108 | fEnergyInterval[i] = e; |
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109 | fA1[i] = fSandia->GetSandiaMatTablePAI(i,1); |
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110 | fA2[i] = fSandia->GetSandiaMatTablePAI(i,2); |
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111 | fA3[i] = fSandia->GetSandiaMatTablePAI(i,3); |
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112 | fA4[i] = fSandia->GetSandiaMatTablePAI(i,4); |
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113 | |
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114 | } |
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115 | if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer) |
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116 | { |
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117 | fIntervalNumber++; |
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118 | fEnergyInterval[fIntervalNumber] = maxEnergyTransfer ; |
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119 | fA1[fIntervalNumber] = fA1[fIntervalNumber-1] ; |
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120 | fA2[fIntervalNumber] = fA2[fIntervalNumber-1] ; |
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121 | fA3[fIntervalNumber] = fA3[fIntervalNumber-1] ; |
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122 | fA4[fIntervalNumber] = fA4[fIntervalNumber-1] ; |
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123 | } |
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124 | |
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125 | // Now checking, if two borders are too close together |
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126 | for(i=1;i<fIntervalNumber;i++) |
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127 | { |
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128 | // G4cout<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t" |
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129 | // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl ; |
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130 | if(fEnergyInterval[i+1]-fEnergyInterval[i] > |
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131 | 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i])) |
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132 | { |
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133 | continue ; |
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134 | } |
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135 | else |
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136 | { |
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137 | for(j=i;j<fIntervalNumber;j++) |
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138 | { |
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139 | fEnergyInterval[j] = fEnergyInterval[j+1] ; |
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140 | fA1[j] = fA1[j+1] ; |
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141 | fA2[j] = fA2[j+1] ; |
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142 | fA3[j] = fA3[j+1] ; |
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143 | fA4[j] = fA4[j+1] ; |
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144 | } |
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145 | fIntervalNumber-- ; |
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146 | i-- ; |
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147 | } |
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148 | } |
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149 | |
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150 | // Preparation of fSplineEnergy array corresponding to min ionisation, G~4 |
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151 | |
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152 | G4double betaGammaSqRef = |
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153 | fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1; |
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154 | |
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155 | NormShift(betaGammaSqRef) ; |
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156 | SplainPAI(betaGammaSqRef) ; |
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157 | |
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158 | // Preparation of integral PAI cross section for input betaGammaSq |
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159 | |
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160 | for(i = 1 ; i <= fSplineNumber ; i++) |
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161 | { |
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162 | fDifPAIySection[i] = DifPAIySection(i,betaGammaSq); |
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163 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
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164 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
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165 | } |
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166 | IntegralPAIySection() ; |
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167 | IntegralCerenkov() ; |
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168 | IntegralPlasmon() ; |
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169 | } |
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170 | |
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171 | ///////////////////////////////////////////////////////////////////////// |
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172 | // |
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173 | // General control function for class G4PAIySection |
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174 | // |
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175 | |
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176 | void G4PAIySection::InitPAI() |
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177 | { |
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178 | G4int i ; |
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179 | G4double betaGammaSq = fLorentzFactor[fRefGammaNumber]* |
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180 | fLorentzFactor[fRefGammaNumber] - 1; |
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181 | |
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182 | // Preparation of integral PAI cross section for reference gamma |
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183 | |
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184 | NormShift(betaGammaSq) ; |
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185 | SplainPAI(betaGammaSq) ; |
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186 | |
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187 | IntegralPAIySection() ; |
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188 | IntegralCerenkov() ; |
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189 | IntegralPlasmon() ; |
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190 | |
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191 | for(i = 0 ; i<=fSplineNumber ; i++) |
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192 | { |
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193 | fPAItable[i][fRefGammaNumber] = fIntegralPAIySection[i] ; |
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194 | if(i != 0) |
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195 | { |
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196 | fPAItable[i][0] = fSplineEnergy[i] ; |
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197 | } |
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198 | } |
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199 | fPAItable[0][0] = fSplineNumber ; |
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200 | |
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201 | for(G4int j = 1 ; j < 112 ; j++) // for other gammas |
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202 | { |
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203 | if( j == fRefGammaNumber ) continue ; |
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204 | |
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205 | betaGammaSq = fLorentzFactor[j]*fLorentzFactor[j] - 1 ; |
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206 | |
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207 | for(i = 1 ; i <= fSplineNumber ; i++) |
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208 | { |
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209 | fDifPAIySection[i] = DifPAIySection(i,betaGammaSq); |
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210 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
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211 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
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212 | } |
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213 | IntegralPAIySection() ; |
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214 | IntegralCerenkov() ; |
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215 | IntegralPlasmon() ; |
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216 | |
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217 | for(i = 0 ; i <= fSplineNumber ; i++) |
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218 | { |
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219 | fPAItable[i][j] = fIntegralPAIySection[i] ; |
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220 | } |
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221 | } |
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222 | |
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223 | } |
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224 | |
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225 | /////////////////////////////////////////////////////////////////////// |
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226 | // |
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227 | // Shifting from borders to intervals Creation of first energy points |
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228 | // |
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229 | |
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230 | void G4PAIySection::NormShift(G4double betaGammaSq) |
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231 | { |
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232 | G4int i, j ; |
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233 | |
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234 | for( i = 1 ; i <= fIntervalNumber-1 ; i++ ) |
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235 | { |
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236 | for( j = 1 ; j <= 2 ; j++ ) |
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237 | { |
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238 | fSplineNumber = (i-1)*2 + j ; |
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239 | |
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240 | if( j == 1 ) fSplineEnergy[fSplineNumber] = fEnergyInterval[i ]*(1+fDelta); |
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241 | else fSplineEnergy[fSplineNumber] = fEnergyInterval[i+1]*(1-fDelta); |
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242 | // G4cout<<"cn = "<<fSplineNumber<<"; "<<"energy = " |
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243 | // <<fSplineEnergy[fSplineNumber]<<G4endl; |
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244 | } |
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245 | } |
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246 | fIntegralTerm[1]=RutherfordIntegral(1,fEnergyInterval[1],fSplineEnergy[1]); |
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247 | |
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248 | j = 1 ; |
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249 | |
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250 | for(i=2;i<=fSplineNumber;i++) |
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251 | { |
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252 | if(fSplineEnergy[i]<fEnergyInterval[j+1]) |
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253 | { |
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254 | fIntegralTerm[i] = fIntegralTerm[i-1] + |
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255 | RutherfordIntegral(j,fSplineEnergy[i-1], |
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256 | fSplineEnergy[i] ) ; |
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257 | } |
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258 | else |
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259 | { |
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260 | G4double x = RutherfordIntegral(j,fSplineEnergy[i-1], |
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261 | fEnergyInterval[j+1] ) ; |
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262 | j++; |
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263 | fIntegralTerm[i] = fIntegralTerm[i-1] + x + |
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264 | RutherfordIntegral(j,fEnergyInterval[j], |
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265 | fSplineEnergy[i] ) ; |
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266 | } |
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267 | // G4cout<<i<<"\t"<<fSplineEnergy[i]<<"\t"<<fIntegralTerm[i]<<"\n"<<G4endl; |
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268 | } |
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269 | fNormalizationCof = 2*pi*pi*hbarc*hbarc*fine_structure_const/electron_mass_c2 ; |
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270 | fNormalizationCof *= fElectronDensity/fIntegralTerm[fSplineNumber] ; |
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271 | |
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272 | // G4cout<<"fNormalizationCof = "<<fNormalizationCof<<G4endl ; |
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273 | |
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274 | // Calculation of PAI differrential cross-section (1/(keV*cm)) |
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275 | // in the energy points near borders of energy intervals |
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276 | |
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277 | for(G4int k=1;k<=fIntervalNumber-1;k++) |
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278 | { |
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279 | for(j=1;j<=2;j++) |
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280 | { |
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281 | i = (k-1)*2 + j ; |
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282 | fImPartDielectricConst[i] = fNormalizationCof* |
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283 | ImPartDielectricConst(k,fSplineEnergy[i]); |
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284 | fRePartDielectricConst[i] = fNormalizationCof* |
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285 | RePartDielectricConst(fSplineEnergy[i]); |
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286 | fIntegralTerm[i] *= fNormalizationCof; |
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287 | |
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288 | fDifPAIySection[i] = DifPAIySection(i,betaGammaSq); |
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289 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
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290 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
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291 | } |
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292 | } |
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293 | |
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294 | } // end of NormShift |
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295 | |
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296 | ///////////////////////////////////////////////////////////////////////// |
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297 | // |
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298 | // Creation of new energy points as geometrical mean of existing |
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299 | // one, calculation PAI_cs for them, while the error of logarithmic |
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300 | // linear approximation would be smaller than 'fError' |
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301 | |
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302 | void G4PAIySection::SplainPAI(G4double betaGammaSq) |
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303 | { |
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304 | G4int k = 1 ; |
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305 | G4int i = 1 ; |
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306 | |
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307 | while ( (i < fSplineNumber) && (fSplineNumber < fMaxSplineSize-1) ) |
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308 | { |
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309 | if(fSplineEnergy[i+1] > fEnergyInterval[k+1]) |
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310 | { |
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311 | k++ ; // Here next energy point is in next energy interval |
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312 | i++; |
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313 | continue; |
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314 | } |
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315 | // Shifting of arrayes for inserting the geometrical |
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316 | // average of 'i' and 'i+1' energy points to 'i+1' place |
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317 | fSplineNumber++; |
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318 | |
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319 | for(G4int j = fSplineNumber; j >= i+2 ; j-- ) |
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320 | { |
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321 | fSplineEnergy[j] = fSplineEnergy[j-1]; |
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322 | fImPartDielectricConst[j] = fImPartDielectricConst[j-1]; |
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323 | fRePartDielectricConst[j] = fRePartDielectricConst[j-1]; |
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324 | fIntegralTerm[j] = fIntegralTerm[j-1]; |
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325 | |
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326 | fDifPAIySection[j] = fDifPAIySection[j-1]; |
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327 | fdNdxCerenkov[j] = fdNdxCerenkov[j-1]; |
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328 | fdNdxPlasmon[j] = fdNdxPlasmon[j-1]; |
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329 | } |
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330 | G4double x1 = fSplineEnergy[i]; |
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331 | G4double x2 = fSplineEnergy[i+1]; |
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332 | G4double yy1 = fDifPAIySection[i]; |
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333 | G4double y2 = fDifPAIySection[i+1]; |
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334 | |
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335 | G4double en1 = sqrt(x1*x2); |
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336 | fSplineEnergy[i+1] = en1; |
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337 | |
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338 | // Calculation of logarithmic linear approximation |
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339 | // in this (enr) energy point, which number is 'i+1' now |
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340 | |
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341 | G4double a = log10(y2/yy1)/log10(x2/x1); |
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342 | G4double b = log10(yy1) - a*log10(x1); |
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343 | G4double y = a*log10(en1) + b ; |
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344 | y = pow(10.,y); |
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345 | |
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346 | // Calculation of the PAI dif. cross-section at this point |
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347 | |
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348 | fImPartDielectricConst[i+1] = fNormalizationCof* |
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349 | ImPartDielectricConst(k,fSplineEnergy[i+1]); |
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350 | fRePartDielectricConst[i+1] = fNormalizationCof* |
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351 | RePartDielectricConst(fSplineEnergy[i+1]); |
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352 | fIntegralTerm[i+1] = fIntegralTerm[i] + fNormalizationCof* |
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353 | RutherfordIntegral(k,fSplineEnergy[i], |
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354 | fSplineEnergy[i+1]); |
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355 | |
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356 | fDifPAIySection[i+1] = DifPAIySection(i+1,betaGammaSq); |
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357 | fdNdxCerenkov[i+1] = PAIdNdxCerenkov(i+1,betaGammaSq); |
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358 | fdNdxPlasmon[i+1] = PAIdNdxPlasmon(i+1,betaGammaSq); |
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359 | |
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360 | // Condition for next division of this segment or to pass |
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361 | // to higher energies |
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362 | |
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363 | G4double x = 2*(fDifPAIySection[i+1] - y)/(fDifPAIySection[i+1] + y); |
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364 | |
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365 | if( x < 0 ) |
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366 | { |
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367 | x = -x ; |
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368 | } |
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369 | if( x > fError && fSplineNumber < fMaxSplineSize-1 ) |
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370 | { |
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371 | continue; // next division |
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372 | } |
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373 | i += 2; // pass to next segment |
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374 | |
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375 | } // close 'while' |
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376 | |
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377 | } // end of SplainPAI |
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378 | |
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379 | |
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380 | //////////////////////////////////////////////////////////////////// |
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381 | // |
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382 | // Integration over electrons that could be considered |
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383 | // quasi-free at energy transfer of interest |
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384 | |
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385 | G4double G4PAIySection::RutherfordIntegral( G4int k, |
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386 | G4double x1, |
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387 | G4double x2 ) |
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388 | { |
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389 | G4double c1, c2, c3 ; |
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390 | // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<x2<<G4endl; |
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391 | c1 = (x2 - x1)/x1/x2 ; |
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392 | c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2 ; |
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393 | c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ; |
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394 | // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<<c2<<"; "<<"c3 = "<<c3<<G4endl; |
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395 | |
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396 | return fA1[k]*log(x2/x1) + fA2[k]*c1 + fA3[k]*c2/2 + fA4[k]*c3/3 ; |
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397 | |
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398 | } // end of RutherfordIntegral |
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399 | |
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400 | |
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401 | ///////////////////////////////////////////////////////////////// |
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402 | // |
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403 | // Imaginary part of dielectric constant |
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404 | // (G4int k - interval number, G4double en1 - energy point) |
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405 | |
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406 | G4double G4PAIySection::ImPartDielectricConst( G4int k , |
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407 | G4double energy1 ) |
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408 | { |
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409 | G4double energy2,energy3,energy4,result; |
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410 | |
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411 | energy2 = energy1*energy1; |
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412 | energy3 = energy2*energy1; |
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413 | energy4 = energy3*energy1; |
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414 | |
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415 | result = fA1[k]/energy1+fA2[k]/energy2+fA3[k]/energy3+fA4[k]/energy4 ; |
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416 | result *=hbarc/energy1 ; |
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417 | |
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418 | return result ; |
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419 | |
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420 | } // end of ImPartDielectricConst |
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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 | // Real part of dielectric constant minus unit: epsilon_1 - 1 |
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426 | // (G4double enb - energy point) |
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427 | // |
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428 | |
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429 | G4double G4PAIySection::RePartDielectricConst(G4double enb) |
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430 | { |
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431 | G4double x0, x02, x03, x04, x05, x1, x2, xx1 ,xx2 , xx12, |
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432 | c1, c2, c3, cof1, cof2, xln1, xln2, xln3, result ; |
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433 | |
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434 | x0 = enb ; |
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435 | result = 0 ; |
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436 | |
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437 | for(G4int i=1;i<=fIntervalNumber-1;i++) |
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438 | { |
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439 | x1 = fEnergyInterval[i] ; |
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440 | x2 = fEnergyInterval[i+1] ; |
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441 | xx1 = x1 - x0 ; |
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442 | xx2 = x2 - x0 ; |
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443 | xx12 = xx2/xx1 ; |
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444 | |
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445 | if(xx12<0) |
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446 | { |
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447 | xx12 = -xx12; |
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448 | } |
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449 | xln1 = log(x2/x1) ; |
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450 | xln2 = log(xx12) ; |
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451 | xln3 = log((x2 + x0)/(x1 + x0)) ; |
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452 | x02 = x0*x0 ; |
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453 | x03 = x02*x0 ; |
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454 | x04 = x03*x0 ; |
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455 | x05 = x04*x0; |
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456 | c1 = (x2 - x1)/x1/x2 ; |
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457 | c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2 ; |
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458 | c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ; |
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459 | |
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460 | result -= (fA1[i]/x02 + fA3[i]/x04)*xln1 ; |
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461 | result -= (fA2[i]/x02 + fA4[i]/x04)*c1 ; |
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462 | result -= fA3[i]*c2/2/x02 ; |
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463 | result -= fA4[i]*c3/3/x02 ; |
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464 | |
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465 | cof1 = fA1[i]/x02 + fA3[i]/x04 ; |
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466 | cof2 = fA2[i]/x03 + fA4[i]/x05 ; |
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467 | |
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468 | result += 0.5*(cof1 +cof2)*xln2 ; |
---|
469 | result += 0.5*(cof1 - cof2)*xln3 ; |
---|
470 | } |
---|
471 | result *= 2*hbarc/pi ; |
---|
472 | |
---|
473 | return result ; |
---|
474 | |
---|
475 | } // end of RePartDielectricConst |
---|
476 | |
---|
477 | ////////////////////////////////////////////////////////////////////// |
---|
478 | // |
---|
479 | // PAI differential cross-section in terms of |
---|
480 | // simplified Allison's equation |
---|
481 | // |
---|
482 | |
---|
483 | G4double G4PAIySection::DifPAIySection( G4int i , |
---|
484 | G4double betaGammaSq ) |
---|
485 | { |
---|
486 | G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,result ; |
---|
487 | //G4double beta, be4 ; |
---|
488 | G4double be4 ; |
---|
489 | G4double betaBohr2 = fine_structure_const*fine_structure_const ; |
---|
490 | G4double betaBohr4 = betaBohr2*betaBohr2*4.0 ; |
---|
491 | be2 = betaGammaSq/(1 + betaGammaSq) ; |
---|
492 | be4 = be2*be2 ; |
---|
493 | // beta = sqrt(be2) ; |
---|
494 | cof = 1 ; |
---|
495 | x1 = log(2*electron_mass_c2/fSplineEnergy[i]) ; |
---|
496 | |
---|
497 | if( betaGammaSq < 0.01 ) x2 = log(be2) ; |
---|
498 | else |
---|
499 | { |
---|
500 | x2 = -log( (1/betaGammaSq - fRePartDielectricConst[i])* |
---|
501 | (1/betaGammaSq - fRePartDielectricConst[i]) + |
---|
502 | fImPartDielectricConst[i]*fImPartDielectricConst[i] )/2 ; |
---|
503 | } |
---|
504 | if( fImPartDielectricConst[i] == 0.0 ||betaGammaSq < 0.01 ) |
---|
505 | { |
---|
506 | x6=0 ; |
---|
507 | } |
---|
508 | else |
---|
509 | { |
---|
510 | x3 = -fRePartDielectricConst[i] + 1/betaGammaSq ; |
---|
511 | x5 = -1 - fRePartDielectricConst[i] + |
---|
512 | be2*((1 +fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
513 | fImPartDielectricConst[i]*fImPartDielectricConst[i]) ; |
---|
514 | |
---|
515 | x7 = atan2(fImPartDielectricConst[i],x3) ; |
---|
516 | x6 = x5 * x7 ; |
---|
517 | } |
---|
518 | // if(fImPartDielectricConst[i] == 0) x6 = 0 ; |
---|
519 | |
---|
520 | x4 = ((x1 + x2)*fImPartDielectricConst[i] + x6)/hbarc ; |
---|
521 | // if( x4 < 0.0 ) x4 = 0.0 ; |
---|
522 | x8 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
523 | fImPartDielectricConst[i]*fImPartDielectricConst[i] ; |
---|
524 | |
---|
525 | result = (x4 + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i]) ; |
---|
526 | if(result < 1.0e-8) result = 1.0e-8 ; |
---|
527 | result *= fine_structure_const/be2/pi ; |
---|
528 | // result *= (1-exp(-beta/betaBohr))*(1-exp(-beta/betaBohr)) ; |
---|
529 | // result *= (1-exp(-be2/betaBohr2)) ; |
---|
530 | result *= (1-exp(-be4/betaBohr4)) ; |
---|
531 | if(fDensity >= 0.1) |
---|
532 | { |
---|
533 | result /= x8 ; |
---|
534 | } |
---|
535 | return result ; |
---|
536 | |
---|
537 | } // end of DifPAIySection |
---|
538 | |
---|
539 | ////////////////////////////////////////////////////////////////////////// |
---|
540 | // |
---|
541 | // Calculation od dN/dx of collisions with creation of Cerenkov pseudo-photons |
---|
542 | |
---|
543 | G4double G4PAIySection::PAIdNdxCerenkov( G4int i , |
---|
544 | G4double betaGammaSq ) |
---|
545 | { |
---|
546 | G4double cof, logarithm, x3, x5, argument, modul2, dNdxC ; |
---|
547 | G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr ; |
---|
548 | |
---|
549 | cof = 1.0 ; |
---|
550 | cofBetaBohr = 4.0 ; |
---|
551 | betaBohr2 = fine_structure_const*fine_structure_const ; |
---|
552 | betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ; |
---|
553 | |
---|
554 | be2 = betaGammaSq/(1 + betaGammaSq) ; |
---|
555 | be4 = be2*be2 ; |
---|
556 | |
---|
557 | if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq) ; // 0.0 ; |
---|
558 | else |
---|
559 | { |
---|
560 | logarithm = -log( (1/betaGammaSq - fRePartDielectricConst[i])* |
---|
561 | (1/betaGammaSq - fRePartDielectricConst[i]) + |
---|
562 | fImPartDielectricConst[i]*fImPartDielectricConst[i] )*0.5 ; |
---|
563 | logarithm += log(1+1.0/betaGammaSq) ; |
---|
564 | } |
---|
565 | |
---|
566 | if( fImPartDielectricConst[i] == 0.0 || betaGammaSq < 0.01 ) |
---|
567 | { |
---|
568 | argument = 0.0 ; |
---|
569 | } |
---|
570 | else |
---|
571 | { |
---|
572 | x3 = -fRePartDielectricConst[i] + 1.0/betaGammaSq ; |
---|
573 | x5 = -1.0 - fRePartDielectricConst[i] + |
---|
574 | be2*((1.0 +fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) + |
---|
575 | fImPartDielectricConst[i]*fImPartDielectricConst[i]) ; |
---|
576 | if( x3 == 0.0 ) argument = 0.5*pi; |
---|
577 | else argument = atan2(fImPartDielectricConst[i],x3) ; |
---|
578 | argument *= x5 ; |
---|
579 | } |
---|
580 | dNdxC = ( logarithm*fImPartDielectricConst[i] + argument )/hbarc ; |
---|
581 | |
---|
582 | if(dNdxC < 1.0e-8) dNdxC = 1.0e-8 ; |
---|
583 | |
---|
584 | dNdxC *= fine_structure_const/be2/pi ; |
---|
585 | |
---|
586 | dNdxC *= (1-exp(-be4/betaBohr4)) ; |
---|
587 | |
---|
588 | if(fDensity >= 0.1) |
---|
589 | { |
---|
590 | modul2 = (1.0 + fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) + |
---|
591 | fImPartDielectricConst[i]*fImPartDielectricConst[i] ; |
---|
592 | dNdxC /= modul2 ; |
---|
593 | } |
---|
594 | return dNdxC ; |
---|
595 | |
---|
596 | } // end of PAIdNdxCerenkov |
---|
597 | |
---|
598 | ////////////////////////////////////////////////////////////////////////// |
---|
599 | // |
---|
600 | // Calculation od dN/dx of collisions with creation of longitudinal EM |
---|
601 | // excitations (plasmons, delta-electrons) |
---|
602 | |
---|
603 | G4double G4PAIySection::PAIdNdxPlasmon( G4int i , |
---|
604 | G4double betaGammaSq ) |
---|
605 | { |
---|
606 | G4double cof, resonance, modul2, dNdxP ; |
---|
607 | G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr ; |
---|
608 | |
---|
609 | cof = 1 ; |
---|
610 | cofBetaBohr = 4.0 ; |
---|
611 | betaBohr2 = fine_structure_const*fine_structure_const ; |
---|
612 | betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ; |
---|
613 | |
---|
614 | be2 = betaGammaSq/(1 + betaGammaSq) ; |
---|
615 | be4 = be2*be2 ; |
---|
616 | |
---|
617 | resonance = log(2*electron_mass_c2*be2/fSplineEnergy[i]) ; |
---|
618 | resonance *= fImPartDielectricConst[i]/hbarc ; |
---|
619 | |
---|
620 | |
---|
621 | dNdxP = ( resonance + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i] ) ; |
---|
622 | |
---|
623 | if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8 ; |
---|
624 | |
---|
625 | dNdxP *= fine_structure_const/be2/pi ; |
---|
626 | dNdxP *= (1-exp(-be4/betaBohr4)) ; |
---|
627 | |
---|
628 | if( fDensity >= 0.1 ) |
---|
629 | { |
---|
630 | modul2 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
631 | fImPartDielectricConst[i]*fImPartDielectricConst[i] ; |
---|
632 | dNdxP /= modul2 ; |
---|
633 | } |
---|
634 | return dNdxP ; |
---|
635 | |
---|
636 | } // end of PAIdNdxPlasmon |
---|
637 | |
---|
638 | //////////////////////////////////////////////////////////////////////// |
---|
639 | // |
---|
640 | // Calculation of the PAI integral cross-section |
---|
641 | // fIntegralPAIySection[1] = specific primary ionisation, 1/cm |
---|
642 | // and fIntegralPAIySection[0] = mean energy loss per cm in keV/cm |
---|
643 | |
---|
644 | void G4PAIySection::IntegralPAIySection() |
---|
645 | { |
---|
646 | fIntegralPAIySection[fSplineNumber] = 0 ; |
---|
647 | fIntegralPAIdEdx[fSplineNumber] = 0 ; |
---|
648 | fIntegralPAIySection[0] = 0 ; |
---|
649 | G4int k = fIntervalNumber -1 ; |
---|
650 | |
---|
651 | for(G4int i = fSplineNumber-1 ; i >= 1 ; i--) |
---|
652 | { |
---|
653 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
654 | { |
---|
655 | fIntegralPAIySection[i] = fIntegralPAIySection[i+1] + SumOverInterval(i) ; |
---|
656 | fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] + SumOverIntervaldEdx(i) ; |
---|
657 | } |
---|
658 | else |
---|
659 | { |
---|
660 | fIntegralPAIySection[i] = fIntegralPAIySection[i+1] + |
---|
661 | SumOverBorder(i+1,fEnergyInterval[k]) ; |
---|
662 | fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] + |
---|
663 | SumOverBorderdEdx(i+1,fEnergyInterval[k]) ; |
---|
664 | k-- ; |
---|
665 | } |
---|
666 | } |
---|
667 | } // end of IntegralPAIySection |
---|
668 | |
---|
669 | //////////////////////////////////////////////////////////////////////// |
---|
670 | // |
---|
671 | // Calculation of the PAI Cerenkov integral cross-section |
---|
672 | // fIntegralCrenkov[1] = specific Crenkov ionisation, 1/cm |
---|
673 | // and fIntegralCerenkov[0] = mean Cerenkov loss per cm in keV/cm |
---|
674 | |
---|
675 | void G4PAIySection::IntegralCerenkov() |
---|
676 | { |
---|
677 | G4int i, k ; |
---|
678 | fIntegralCerenkov[fSplineNumber] = 0 ; |
---|
679 | fIntegralCerenkov[0] = 0 ; |
---|
680 | k = fIntervalNumber -1 ; |
---|
681 | |
---|
682 | for( i = fSplineNumber-1 ; i >= 1 ; i-- ) |
---|
683 | { |
---|
684 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
685 | { |
---|
686 | fIntegralCerenkov[i] = fIntegralCerenkov[i+1] + SumOverInterCerenkov(i) ; |
---|
687 | // G4cout<<"int: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl; |
---|
688 | } |
---|
689 | else |
---|
690 | { |
---|
691 | fIntegralCerenkov[i] = fIntegralCerenkov[i+1] + |
---|
692 | SumOverBordCerenkov(i+1,fEnergyInterval[k]) ; |
---|
693 | k-- ; |
---|
694 | // G4cout<<"bord: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl; |
---|
695 | } |
---|
696 | } |
---|
697 | |
---|
698 | } // end of IntegralCerenkov |
---|
699 | |
---|
700 | //////////////////////////////////////////////////////////////////////// |
---|
701 | // |
---|
702 | // Calculation of the PAI Plasmon integral cross-section |
---|
703 | // fIntegralPlasmon[1] = splasmon primary ionisation, 1/cm |
---|
704 | // and fIntegralPlasmon[0] = mean plasmon loss per cm in keV/cm |
---|
705 | |
---|
706 | void G4PAIySection::IntegralPlasmon() |
---|
707 | { |
---|
708 | fIntegralPlasmon[fSplineNumber] = 0 ; |
---|
709 | fIntegralPlasmon[0] = 0 ; |
---|
710 | G4int k = fIntervalNumber -1 ; |
---|
711 | for(G4int i=fSplineNumber-1;i>=1;i--) |
---|
712 | { |
---|
713 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
714 | { |
---|
715 | fIntegralPlasmon[i] = fIntegralPlasmon[i+1] + SumOverInterPlasmon(i) ; |
---|
716 | } |
---|
717 | else |
---|
718 | { |
---|
719 | fIntegralPlasmon[i] = fIntegralPlasmon[i+1] + |
---|
720 | SumOverBordPlasmon(i+1,fEnergyInterval[k]) ; |
---|
721 | k-- ; |
---|
722 | } |
---|
723 | } |
---|
724 | |
---|
725 | } // end of IntegralPlasmon |
---|
726 | |
---|
727 | ////////////////////////////////////////////////////////////////////// |
---|
728 | // |
---|
729 | // Calculation the PAI integral cross-section inside |
---|
730 | // of interval of continuous values of photo-ionisation |
---|
731 | // cross-section. Parameter 'i' is the number of interval. |
---|
732 | |
---|
733 | G4double G4PAIySection::SumOverInterval( G4int i ) |
---|
734 | { |
---|
735 | G4double x0,x1,y0,yy1,a,b,c,result ; |
---|
736 | |
---|
737 | x0 = fSplineEnergy[i] ; |
---|
738 | x1 = fSplineEnergy[i+1] ; |
---|
739 | y0 = fDifPAIySection[i] ; |
---|
740 | yy1 = fDifPAIySection[i+1]; |
---|
741 | c = x1/x0; |
---|
742 | a = log10(yy1/y0)/log10(c) ; |
---|
743 | // b = log10(y0) - a*log10(x0) ; |
---|
744 | b = y0/pow(x0,a) ; |
---|
745 | a += 1 ; |
---|
746 | if(a == 0) |
---|
747 | { |
---|
748 | result = b*log(x1/x0) ; |
---|
749 | } |
---|
750 | else |
---|
751 | { |
---|
752 | result = y0*(x1*pow(c,a-1) - x0)/a ; |
---|
753 | } |
---|
754 | a++; |
---|
755 | if(a == 0) |
---|
756 | { |
---|
757 | fIntegralPAIySection[0] += b*log(x1/x0) ; |
---|
758 | } |
---|
759 | else |
---|
760 | { |
---|
761 | fIntegralPAIySection[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a ; |
---|
762 | } |
---|
763 | return result ; |
---|
764 | |
---|
765 | } // end of SumOverInterval |
---|
766 | |
---|
767 | ///////////////////////////////// |
---|
768 | |
---|
769 | G4double G4PAIySection::SumOverIntervaldEdx( G4int i ) |
---|
770 | { |
---|
771 | G4double x0,x1,y0,yy1,a,b,c,result ; |
---|
772 | |
---|
773 | x0 = fSplineEnergy[i] ; |
---|
774 | x1 = fSplineEnergy[i+1] ; |
---|
775 | y0 = fDifPAIySection[i] ; |
---|
776 | yy1 = fDifPAIySection[i+1]; |
---|
777 | c = x1/x0; |
---|
778 | a = log10(yy1/y0)/log10(c) ; |
---|
779 | // b = log10(y0) - a*log10(x0) ; |
---|
780 | b = y0/pow(x0,a) ; |
---|
781 | a += 2 ; |
---|
782 | if(a == 0) |
---|
783 | { |
---|
784 | result = b*log(x1/x0) ; |
---|
785 | } |
---|
786 | else |
---|
787 | { |
---|
788 | result = y0*(x1*x1*pow(c,a-2) - x0*x0)/a ; |
---|
789 | } |
---|
790 | return result ; |
---|
791 | |
---|
792 | } // end of SumOverInterval |
---|
793 | |
---|
794 | ////////////////////////////////////////////////////////////////////// |
---|
795 | // |
---|
796 | // Calculation the PAI Cerenkov integral cross-section inside |
---|
797 | // of interval of continuous values of photo-ionisation Cerenkov |
---|
798 | // cross-section. Parameter 'i' is the number of interval. |
---|
799 | |
---|
800 | G4double G4PAIySection::SumOverInterCerenkov( G4int i ) |
---|
801 | { |
---|
802 | G4double x0,x1,y0,yy1,a,b,c,result ; |
---|
803 | |
---|
804 | x0 = fSplineEnergy[i] ; |
---|
805 | x1 = fSplineEnergy[i+1] ; |
---|
806 | y0 = fdNdxCerenkov[i] ; |
---|
807 | yy1 = fdNdxCerenkov[i+1]; |
---|
808 | // G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"; x1 = "<<x1 |
---|
809 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
810 | |
---|
811 | c = x1/x0; |
---|
812 | a = log10(yy1/y0)/log10(c) ; |
---|
813 | b = y0/pow(x0,a) ; |
---|
814 | |
---|
815 | a += 1.0 ; |
---|
816 | if(a == 0) result = b*log(c) ; |
---|
817 | else result = y0*(x1*pow(c,a-1) - x0)/a ; |
---|
818 | a += 1.0 ; |
---|
819 | |
---|
820 | if( a == 0 ) fIntegralCerenkov[0] += b*log(x1/x0) ; |
---|
821 | else fIntegralCerenkov[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a ; |
---|
822 | // G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl; |
---|
823 | return result ; |
---|
824 | |
---|
825 | } // end of SumOverInterCerenkov |
---|
826 | |
---|
827 | ////////////////////////////////////////////////////////////////////// |
---|
828 | // |
---|
829 | // Calculation the PAI Plasmon integral cross-section inside |
---|
830 | // of interval of continuous values of photo-ionisation Plasmon |
---|
831 | // cross-section. Parameter 'i' is the number of interval. |
---|
832 | |
---|
833 | G4double G4PAIySection::SumOverInterPlasmon( G4int i ) |
---|
834 | { |
---|
835 | G4double x0,x1,y0,yy1,a,b,c,result ; |
---|
836 | |
---|
837 | x0 = fSplineEnergy[i] ; |
---|
838 | x1 = fSplineEnergy[i+1] ; |
---|
839 | y0 = fdNdxPlasmon[i] ; |
---|
840 | yy1 = fdNdxPlasmon[i+1]; |
---|
841 | c =x1/x0; |
---|
842 | a = log10(yy1/y0)/log10(c) ; |
---|
843 | // b = log10(y0) - a*log10(x0) ; |
---|
844 | b = y0/pow(x0,a) ; |
---|
845 | |
---|
846 | a += 1.0 ; |
---|
847 | if(a == 0) result = b*log(x1/x0) ; |
---|
848 | else result = y0*(x1*pow(c,a-1) - x0)/a ; |
---|
849 | a += 1.0 ; |
---|
850 | |
---|
851 | if( a == 0 ) fIntegralPlasmon[0] += b*log(x1/x0) ; |
---|
852 | else fIntegralPlasmon[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a ; |
---|
853 | |
---|
854 | return result ; |
---|
855 | |
---|
856 | } // end of SumOverInterPlasmon |
---|
857 | |
---|
858 | /////////////////////////////////////////////////////////////////////////////// |
---|
859 | // |
---|
860 | // Integration of PAI cross-section for the case of |
---|
861 | // passing across border between intervals |
---|
862 | |
---|
863 | G4double G4PAIySection::SumOverBorder( G4int i , |
---|
864 | G4double en0 ) |
---|
865 | { |
---|
866 | G4double x0,x1,y0,yy1,a,b,c,d,e0,result ; |
---|
867 | |
---|
868 | e0 = en0 ; |
---|
869 | x0 = fSplineEnergy[i] ; |
---|
870 | x1 = fSplineEnergy[i+1] ; |
---|
871 | y0 = fDifPAIySection[i] ; |
---|
872 | yy1 = fDifPAIySection[i+1] ; |
---|
873 | |
---|
874 | c = x1/x0; |
---|
875 | d = e0/x0; |
---|
876 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
877 | // b0 = log10(y0) - a*log10(x0) ; |
---|
878 | b = y0/pow(x0,a); // pow(10.,b) ; |
---|
879 | |
---|
880 | a += 1 ; |
---|
881 | if(a == 0) |
---|
882 | { |
---|
883 | result = b*log(x0/e0) ; |
---|
884 | } |
---|
885 | else |
---|
886 | { |
---|
887 | result = y0*(x0 - e0*pow(d,a-1))/a ; |
---|
888 | } |
---|
889 | a++ ; |
---|
890 | if(a == 0) |
---|
891 | { |
---|
892 | fIntegralPAIySection[0] += b*log(x0/e0) ; |
---|
893 | } |
---|
894 | else |
---|
895 | { |
---|
896 | fIntegralPAIySection[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a ; |
---|
897 | } |
---|
898 | x0 = fSplineEnergy[i - 1] ; |
---|
899 | x1 = fSplineEnergy[i - 2] ; |
---|
900 | y0 = fDifPAIySection[i - 1] ; |
---|
901 | yy1 = fDifPAIySection[i - 2] ; |
---|
902 | |
---|
903 | c = x1/x0; |
---|
904 | d = e0/x0; |
---|
905 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
906 | // b0 = log10(y0) - a*log10(x0) ; |
---|
907 | b = y0/pow(x0,a) ; |
---|
908 | a += 1 ; |
---|
909 | if(a == 0) |
---|
910 | { |
---|
911 | result += b*log(e0/x0) ; |
---|
912 | } |
---|
913 | else |
---|
914 | { |
---|
915 | result += y0*(e0*pow(d,a-1) - x0)/a ; |
---|
916 | } |
---|
917 | a++ ; |
---|
918 | if(a == 0) |
---|
919 | { |
---|
920 | fIntegralPAIySection[0] += b*log(e0/x0) ; |
---|
921 | } |
---|
922 | else |
---|
923 | { |
---|
924 | fIntegralPAIySection[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a ; |
---|
925 | } |
---|
926 | return result ; |
---|
927 | |
---|
928 | } |
---|
929 | |
---|
930 | /////////////////////////////////////////////////////////////////////// |
---|
931 | |
---|
932 | G4double G4PAIySection::SumOverBorderdEdx( G4int i , |
---|
933 | G4double en0 ) |
---|
934 | { |
---|
935 | G4double x0,x1,y0,yy1,a,b,c,d,e0,result ; |
---|
936 | |
---|
937 | e0 = en0 ; |
---|
938 | x0 = fSplineEnergy[i] ; |
---|
939 | x1 = fSplineEnergy[i+1] ; |
---|
940 | y0 = fDifPAIySection[i] ; |
---|
941 | yy1 = fDifPAIySection[i+1] ; |
---|
942 | |
---|
943 | c = x1/x0; |
---|
944 | d = e0/x0; |
---|
945 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
946 | // b0 = log10(y0) - a*log10(x0) ; |
---|
947 | b = y0/pow(x0,a); // pow(10.,b) ; |
---|
948 | |
---|
949 | a += 2 ; |
---|
950 | if(a == 0) |
---|
951 | { |
---|
952 | result = b*log(x0/e0) ; |
---|
953 | } |
---|
954 | else |
---|
955 | { |
---|
956 | result = y0*(x0*x0 - e0*e0*pow(d,a-2))/a ; |
---|
957 | } |
---|
958 | x0 = fSplineEnergy[i - 1] ; |
---|
959 | x1 = fSplineEnergy[i - 2] ; |
---|
960 | y0 = fDifPAIySection[i - 1] ; |
---|
961 | yy1 = fDifPAIySection[i - 2] ; |
---|
962 | |
---|
963 | c = x1/x0; |
---|
964 | d = e0/x0; |
---|
965 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
966 | // b0 = log10(y0) - a*log10(x0) ; |
---|
967 | b = y0/pow(x0,a) ; |
---|
968 | a += 2 ; |
---|
969 | if(a == 0) |
---|
970 | { |
---|
971 | result += b*log(e0/x0) ; |
---|
972 | } |
---|
973 | else |
---|
974 | { |
---|
975 | result += y0*(e0*e0*pow(d,a-2) - x0*x0)/a ; |
---|
976 | } |
---|
977 | return result ; |
---|
978 | |
---|
979 | } |
---|
980 | |
---|
981 | /////////////////////////////////////////////////////////////////////////////// |
---|
982 | // |
---|
983 | // Integration of Cerenkov cross-section for the case of |
---|
984 | // passing across border between intervals |
---|
985 | |
---|
986 | G4double G4PAIySection::SumOverBordCerenkov( G4int i , |
---|
987 | G4double en0 ) |
---|
988 | { |
---|
989 | G4double x0,x1,y0,yy1,a,b,e0,c,d,result ; |
---|
990 | |
---|
991 | e0 = en0 ; |
---|
992 | x0 = fSplineEnergy[i] ; |
---|
993 | x1 = fSplineEnergy[i+1] ; |
---|
994 | y0 = fdNdxCerenkov[i] ; |
---|
995 | yy1 = fdNdxCerenkov[i+1] ; |
---|
996 | |
---|
997 | // G4cout<<G4endl; |
---|
998 | // G4cout<<"SumBordC, i = "<<i<<"; en0 = "<<en0<<"; x0 ="<<x0<<"; x1 = "<<x1 |
---|
999 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
1000 | c = x1/x0 ; |
---|
1001 | d = e0/x0 ; |
---|
1002 | a = log10(yy1/y0)/log10(c) ; |
---|
1003 | // b0 = log10(y0) - a*log10(x0) ; |
---|
1004 | b = y0/pow(x0,a); // pow(10.,b0) ; |
---|
1005 | |
---|
1006 | a += 1.0 ; |
---|
1007 | if( a == 0 ) result = b*log(x0/e0) ; |
---|
1008 | else result = y0*(x0 - e0*pow(d,a-1))/a ; |
---|
1009 | a += 1.0 ; |
---|
1010 | |
---|
1011 | if( a == 0 ) fIntegralCerenkov[0] += b*log(x0/e0) ; |
---|
1012 | else fIntegralCerenkov[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a ; |
---|
1013 | |
---|
1014 | // G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = "<<b<<"; result = "<<result<<G4endl; |
---|
1015 | |
---|
1016 | x0 = fSplineEnergy[i - 1] ; |
---|
1017 | x1 = fSplineEnergy[i - 2] ; |
---|
1018 | y0 = fdNdxCerenkov[i - 1] ; |
---|
1019 | yy1 = fdNdxCerenkov[i - 2] ; |
---|
1020 | |
---|
1021 | // G4cout<<"x0 ="<<x0<<"; x1 = "<<x1 |
---|
1022 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
1023 | |
---|
1024 | c = x1/x0 ; |
---|
1025 | d = e0/x0 ; |
---|
1026 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
1027 | // b0 = log10(y0) - a*log10(x0) ; |
---|
1028 | b = y0/pow(x0,a); // pow(10.,b0) ; |
---|
1029 | |
---|
1030 | a += 1.0 ; |
---|
1031 | if( a == 0 ) result += b*log(e0/x0) ; |
---|
1032 | else result += y0*(e0*pow(d,a-1) - x0 )/a ; |
---|
1033 | a += 1.0 ; |
---|
1034 | |
---|
1035 | if( a == 0 ) fIntegralCerenkov[0] += b*log(e0/x0) ; |
---|
1036 | else fIntegralCerenkov[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a ; |
---|
1037 | |
---|
1038 | // G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = " |
---|
1039 | // <<b<<"; result = "<<result<<G4endl; |
---|
1040 | |
---|
1041 | return result ; |
---|
1042 | |
---|
1043 | } |
---|
1044 | |
---|
1045 | /////////////////////////////////////////////////////////////////////////////// |
---|
1046 | // |
---|
1047 | // Integration of Plasmon cross-section for the case of |
---|
1048 | // passing across border between intervals |
---|
1049 | |
---|
1050 | G4double G4PAIySection::SumOverBordPlasmon( G4int i , |
---|
1051 | G4double en0 ) |
---|
1052 | { |
---|
1053 | G4double x0,x1,y0,yy1,a,b,c,d,e0,result ; |
---|
1054 | |
---|
1055 | e0 = en0 ; |
---|
1056 | x0 = fSplineEnergy[i] ; |
---|
1057 | x1 = fSplineEnergy[i+1] ; |
---|
1058 | y0 = fdNdxPlasmon[i] ; |
---|
1059 | yy1 = fdNdxPlasmon[i+1] ; |
---|
1060 | |
---|
1061 | c = x1/x0 ; |
---|
1062 | d = e0/x0 ; |
---|
1063 | a = log10(yy1/y0)/log10(c) ; |
---|
1064 | // b0 = log10(y0) - a*log10(x0) ; |
---|
1065 | b = y0/pow(x0,a); //pow(10.,b) ; |
---|
1066 | |
---|
1067 | a += 1.0 ; |
---|
1068 | if( a == 0 ) result = b*log(x0/e0) ; |
---|
1069 | else result = y0*(x0 - e0*pow(d,a-1))/a ; |
---|
1070 | a += 1.0 ; |
---|
1071 | |
---|
1072 | if( a == 0 ) fIntegralPlasmon[0] += b*log(x0/e0) ; |
---|
1073 | else fIntegralPlasmon[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a ; |
---|
1074 | |
---|
1075 | x0 = fSplineEnergy[i - 1] ; |
---|
1076 | x1 = fSplineEnergy[i - 2] ; |
---|
1077 | y0 = fdNdxPlasmon[i - 1] ; |
---|
1078 | yy1 = fdNdxPlasmon[i - 2] ; |
---|
1079 | |
---|
1080 | c = x1/x0 ; |
---|
1081 | d = e0/x0 ; |
---|
1082 | a = log10(yy1/y0)/log10(c) ; |
---|
1083 | // b0 = log10(y0) - a*log10(x0) ; |
---|
1084 | b = y0/pow(x0,a);// pow(10.,b0) ; |
---|
1085 | |
---|
1086 | a += 1.0 ; |
---|
1087 | if( a == 0 ) result += b*log(e0/x0) ; |
---|
1088 | else result += y0*(e0*pow(d,a-1) - x0)/a ; |
---|
1089 | a += 1.0 ; |
---|
1090 | |
---|
1091 | if( a == 0 ) fIntegralPlasmon[0] += b*log(e0/x0) ; |
---|
1092 | else fIntegralPlasmon[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a ; |
---|
1093 | |
---|
1094 | return result ; |
---|
1095 | |
---|
1096 | } |
---|
1097 | |
---|
1098 | ///////////////////////////////////////////////////////////////////////// |
---|
1099 | // |
---|
1100 | // |
---|
1101 | |
---|
1102 | G4double G4PAIySection::GetStepEnergyLoss( G4double step ) |
---|
1103 | { |
---|
1104 | G4int iTransfer ; |
---|
1105 | G4long numOfCollisions ; |
---|
1106 | G4double loss = 0.0 ; |
---|
1107 | G4double meanNumber, position ; |
---|
1108 | |
---|
1109 | // G4cout<<" G4PAIySection::GetStepEnergyLoss "<<G4endl ; |
---|
1110 | |
---|
1111 | |
---|
1112 | |
---|
1113 | meanNumber = fIntegralPAIySection[1]*step ; |
---|
1114 | numOfCollisions = G4Poisson(meanNumber) ; |
---|
1115 | |
---|
1116 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl ; |
---|
1117 | |
---|
1118 | while(numOfCollisions) |
---|
1119 | { |
---|
1120 | position = fIntegralPAIySection[1]*G4UniformRand() ; |
---|
1121 | |
---|
1122 | for( iTransfer=1 ; iTransfer<=fSplineNumber ; iTransfer++ ) |
---|
1123 | { |
---|
1124 | if( position >= fIntegralPAIySection[iTransfer] ) break ; |
---|
1125 | } |
---|
1126 | loss += fSplineEnergy[iTransfer] ; |
---|
1127 | numOfCollisions-- ; |
---|
1128 | } |
---|
1129 | // G4cout<<"PAI energy loss = "<<loss/keV<<" keV"<<G4endl ; |
---|
1130 | |
---|
1131 | return loss ; |
---|
1132 | } |
---|
1133 | |
---|
1134 | ///////////////////////////////////////////////////////////////////////// |
---|
1135 | // |
---|
1136 | // |
---|
1137 | |
---|
1138 | G4double G4PAIySection::GetStepCerenkovLoss( G4double step ) |
---|
1139 | { |
---|
1140 | G4int iTransfer ; |
---|
1141 | G4long numOfCollisions ; |
---|
1142 | G4double loss = 0.0 ; |
---|
1143 | G4double meanNumber, position ; |
---|
1144 | |
---|
1145 | // G4cout<<" G4PAIySection::GetStepCreLosnkovs "<<G4endl ; |
---|
1146 | |
---|
1147 | |
---|
1148 | |
---|
1149 | meanNumber = fIntegralCerenkov[1]*step ; |
---|
1150 | numOfCollisions = G4Poisson(meanNumber) ; |
---|
1151 | |
---|
1152 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl ; |
---|
1153 | |
---|
1154 | while(numOfCollisions) |
---|
1155 | { |
---|
1156 | position = fIntegralCerenkov[1]*G4UniformRand() ; |
---|
1157 | |
---|
1158 | for( iTransfer=1 ; iTransfer<=fSplineNumber ; iTransfer++ ) |
---|
1159 | { |
---|
1160 | if( position >= fIntegralCerenkov[iTransfer] ) break ; |
---|
1161 | } |
---|
1162 | loss += fSplineEnergy[iTransfer] ; |
---|
1163 | numOfCollisions-- ; |
---|
1164 | } |
---|
1165 | // G4cout<<"PAI Cerenkov loss = "<<loss/keV<<" keV"<<G4endl ; |
---|
1166 | |
---|
1167 | return loss ; |
---|
1168 | } |
---|
1169 | |
---|
1170 | ///////////////////////////////////////////////////////////////////////// |
---|
1171 | // |
---|
1172 | // |
---|
1173 | |
---|
1174 | G4double G4PAIySection::GetStepPlasmonLoss( G4double step ) |
---|
1175 | { |
---|
1176 | G4int iTransfer ; |
---|
1177 | G4long numOfCollisions ; |
---|
1178 | G4double loss = 0.0 ; |
---|
1179 | G4double meanNumber, position ; |
---|
1180 | |
---|
1181 | // G4cout<<" G4PAIySection::GetStepCreLosnkovs "<<G4endl ; |
---|
1182 | |
---|
1183 | |
---|
1184 | |
---|
1185 | meanNumber = fIntegralPlasmon[1]*step ; |
---|
1186 | numOfCollisions = G4Poisson(meanNumber) ; |
---|
1187 | |
---|
1188 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl ; |
---|
1189 | |
---|
1190 | while(numOfCollisions) |
---|
1191 | { |
---|
1192 | position = fIntegralPlasmon[1]*G4UniformRand() ; |
---|
1193 | |
---|
1194 | for( iTransfer=1 ; iTransfer<=fSplineNumber ; iTransfer++ ) |
---|
1195 | { |
---|
1196 | if( position >= fIntegralPlasmon[iTransfer] ) break ; |
---|
1197 | } |
---|
1198 | loss += fSplineEnergy[iTransfer] ; |
---|
1199 | numOfCollisions-- ; |
---|
1200 | } |
---|
1201 | // G4cout<<"PAI Plasmon loss = "<<loss/keV<<" keV"<<G4endl ; |
---|
1202 | |
---|
1203 | return loss ; |
---|
1204 | } |
---|
1205 | |
---|
1206 | |
---|
1207 | |
---|
1208 | ///////////////////////////////////////////////////////////////////////////// |
---|
1209 | // |
---|
1210 | // Init array of Lorentz factors |
---|
1211 | // |
---|
1212 | |
---|
1213 | G4int G4PAIySection::fNumberOfGammas = 111 ; |
---|
1214 | |
---|
1215 | const G4double G4PAIySection::fLorentzFactor[112] = // fNumberOfGammas+1 |
---|
1216 | { |
---|
1217 | 0.0, |
---|
1218 | 1.094989e+00, 1.107813e+00, 1.122369e+00, 1.138890e+00, 1.157642e+00, |
---|
1219 | 1.178925e+00, 1.203082e+00, 1.230500e+00, 1.261620e+00, 1.296942e+00, // 10 |
---|
1220 | 1.337032e+00, 1.382535e+00, 1.434181e+00, 1.492800e+00, 1.559334e+00, |
---|
1221 | 1.634850e+00, 1.720562e+00, 1.817845e+00, 1.928263e+00, 2.053589e+00, // 20 |
---|
1222 | 2.195835e+00, 2.357285e+00, 2.540533e+00, 2.748522e+00, 2.984591e+00, |
---|
1223 | 3.252533e+00, 3.556649e+00, 3.901824e+00, 4.293602e+00, 4.738274e+00, // 30 |
---|
1224 | 5.242981e+00, 5.815829e+00, 6.466019e+00, 7.203990e+00, 8.041596e+00, |
---|
1225 | 8.992288e+00, 1.007133e+01, 1.129606e+01, 1.268614e+01, 1.426390e+01, // 40 |
---|
1226 | 1.605467e+01, 1.808721e+01, 2.039417e+01, 2.301259e+01, 2.598453e+01, |
---|
1227 | 2.935771e+01, 3.318630e+01, 3.753180e+01, 4.246399e+01, 4.806208e+01, // 50 |
---|
1228 | 5.441597e+01, 6.162770e+01, 6.981310e+01, 7.910361e+01, 8.964844e+01, |
---|
1229 | 1.016169e+02, 1.152013e+02, 1.306197e+02, 1.481198e+02, 1.679826e+02, // 60 |
---|
1230 | 1.905270e+02, 2.161152e+02, 2.451581e+02, 2.781221e+02, 3.155365e+02, |
---|
1231 | 3.580024e+02, 4.062016e+02, 4.609081e+02, 5.230007e+02, 5.934765e+02, // 70 |
---|
1232 | 6.734672e+02, 7.642575e+02, 8.673056e+02, 9.842662e+02, 1.117018e+03, |
---|
1233 | 1.267692e+03, 1.438709e+03, 1.632816e+03, 1.853128e+03, 2.103186e+03, // 80 |
---|
1234 | 2.387004e+03, 2.709140e+03, 3.074768e+03, 3.489760e+03, 3.960780e+03, |
---|
1235 | 4.495394e+03, 5.102185e+03, 5.790900e+03, 6.572600e+03, 7.459837e+03, // 90 |
---|
1236 | 8.466860e+03, 9.609843e+03, 1.090714e+04, 1.237959e+04, 1.405083e+04, |
---|
1237 | 1.594771e+04, 1.810069e+04, 2.054434e+04, 2.331792e+04, 2.646595e+04, // 100 |
---|
1238 | 3.003901e+04, 3.409446e+04, 3.869745e+04, 4.392189e+04, 4.985168e+04, |
---|
1239 | 5.658206e+04, 6.422112e+04, 7.289153e+04, 8.273254e+04, 9.390219e+04, // 110 |
---|
1240 | 1.065799e+05 |
---|
1241 | } ; |
---|
1242 | |
---|
1243 | /////////////////////////////////////////////////////////////////////// |
---|
1244 | // |
---|
1245 | // The number of gamma for creation of spline (near ion-min , G ~ 4 ) |
---|
1246 | // |
---|
1247 | |
---|
1248 | const |
---|
1249 | G4int G4PAIySection::fRefGammaNumber = 29 ; |
---|
1250 | |
---|
1251 | |
---|
1252 | // |
---|
1253 | // end of G4PAIySection implementation file |
---|
1254 | // |
---|
1255 | //////////////////////////////////////////////////////////////////////////// |
---|
1256 | |
---|