[819] | 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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[961] | 27 | // $Id: G4PAIxSection.cc,v 1.24 2008/05/30 16:04:40 grichine Exp $ |
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[1007] | 28 | // GEANT4 tag $Name: geant4-09-02 $ |
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[819] | 29 | // |
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| 30 | // |
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| 31 | // G4PAIxSection.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 | // 13.05.03 V. Grichine, bug fixed for maxEnergyTransfer > max interval energy |
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| 43 | // 28.05.01 V.Ivanchenko minor changes to provide ANSI -wall compilation |
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| 44 | // 17.05.01 V. Grichine, low energy extension down to 10*keV of proton |
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| 45 | // 20.11.98 adapted to a new Material/SandiaTable interface, mma |
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| 46 | // 11.06.97 V. Grichine, 1st version |
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| 47 | // |
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| 48 | |
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| 49 | |
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| 50 | |
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| 51 | #include "G4PAIxSection.hh" |
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| 52 | |
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| 53 | #include "globals.hh" |
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| 54 | #include "G4ios.hh" |
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| 55 | #include "G4Poisson.hh" |
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| 56 | #include "G4Material.hh" |
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| 57 | #include "G4MaterialCutsCouple.hh" |
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| 58 | #include "G4SandiaTable.hh" |
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| 59 | |
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| 60 | using namespace std; |
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| 61 | |
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| 62 | /* ****************************************************************** |
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| 63 | |
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| 64 | // Init array of Lorentz factors |
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| 65 | |
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| 66 | const G4double G4PAIxSection::fLorentzFactor[22] = |
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| 67 | { |
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| 68 | 0.0 , 1.1 , 1.2 , 1.3 , 1.5 , 1.8 , 2.0 , |
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| 69 | 2.5 , 3.0 , 4.0 , 7.0 , 10.0 , 20.0 , 40.0 , |
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| 70 | 70.0 , 100.0 , 300.0 , 600.0 , 1000.0 , 3000.0 , |
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| 71 | 10000.0 , 50000.0 |
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[961] | 72 | }; |
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[819] | 73 | |
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| 74 | const G4int G4PAIxSection:: |
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[961] | 75 | fRefGammaNumber = 29; // The number of gamma for creation of |
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[819] | 76 | // spline (9) |
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| 77 | |
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| 78 | ***************************************************************** */ |
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| 79 | |
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| 80 | // Local class constants |
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| 81 | |
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[961] | 82 | const G4double G4PAIxSection::fDelta = 0.005; // energy shift from interval border |
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| 83 | const G4double G4PAIxSection::fError = 0.005; // error in lin-log approximation |
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[819] | 84 | |
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[961] | 85 | const G4int G4PAIxSection::fMaxSplineSize = 500; // Max size of output spline |
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[819] | 86 | // arrays |
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| 87 | |
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| 88 | ////////////////////////////////////////////////////////////////// |
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| 89 | // |
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| 90 | // Constructor |
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| 91 | // |
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| 92 | |
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| 93 | G4PAIxSection::G4PAIxSection(G4MaterialCutsCouple* matCC) |
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| 94 | { |
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| 95 | fDensity = matCC->GetMaterial()->GetDensity(); |
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| 96 | G4int matIndex = matCC->GetMaterial()->GetIndex(); |
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[961] | 97 | fMaterialIndex = matIndex; |
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[819] | 98 | fSandia = new G4SandiaTable(matIndex); |
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| 99 | |
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| 100 | G4int i, j; |
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| 101 | fMatSandiaMatrix = new G4OrderedTable(); |
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| 102 | |
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| 103 | for (i = 0; i < fSandia->GetMaxInterval()-1; i++) |
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| 104 | { |
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| 105 | fMatSandiaMatrix->push_back(new G4DataVector(5,0.)); |
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| 106 | } |
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| 107 | for (i = 0; i < fSandia->GetMaxInterval()-1; i++) |
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| 108 | { |
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| 109 | (*(*fMatSandiaMatrix)[i])[0] = fSandia->GetSandiaMatTable(i,0); |
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| 110 | |
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[961] | 111 | for(j = 1; j < 5; j++) |
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[819] | 112 | { |
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| 113 | (*(*fMatSandiaMatrix)[i])[j] = fSandia->GetSandiaMatTable(i,j)*fDensity; |
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| 114 | } |
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| 115 | } |
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[961] | 116 | } |
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[819] | 117 | |
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[961] | 118 | //////////////////////////////////////////////////////////////// |
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[819] | 119 | |
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| 120 | G4PAIxSection::G4PAIxSection(G4int materialIndex, |
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| 121 | G4double maxEnergyTransfer) |
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| 122 | { |
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[961] | 123 | const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable(); |
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| 124 | G4int i, j; |
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[819] | 125 | |
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[961] | 126 | fMaterialIndex = materialIndex; |
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| 127 | fDensity = (*theMaterialTable)[materialIndex]->GetDensity(); |
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[819] | 128 | fElectronDensity = (*theMaterialTable)[materialIndex]-> |
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[961] | 129 | GetElectronDensity(); |
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[819] | 130 | fIntervalNumber = (*theMaterialTable)[materialIndex]-> |
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[961] | 131 | GetSandiaTable()->GetMatNbOfIntervals(); |
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[819] | 132 | fIntervalNumber--; |
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[961] | 133 | // G4cout<<fDensity<<"\t"<<fElectronDensity<<"\t"<<fIntervalNumber<<G4endl; |
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[819] | 134 | |
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[961] | 135 | fEnergyInterval = new G4double[fIntervalNumber+2]; |
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| 136 | fA1 = new G4double[fIntervalNumber+2]; |
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| 137 | fA2 = new G4double[fIntervalNumber+2]; |
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| 138 | fA3 = new G4double[fIntervalNumber+2]; |
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| 139 | fA4 = new G4double[fIntervalNumber+2]; |
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[819] | 140 | |
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[961] | 141 | for(i = 1; i <= fIntervalNumber; i++ ) |
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[819] | 142 | { |
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| 143 | if(((*theMaterialTable)[materialIndex]-> |
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| 144 | GetSandiaTable()->GetSandiaCofForMaterial(i-1,0) >= maxEnergyTransfer) || |
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| 145 | i > fIntervalNumber ) |
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| 146 | { |
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[961] | 147 | fEnergyInterval[i] = maxEnergyTransfer; |
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| 148 | fIntervalNumber = i; |
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[819] | 149 | break; |
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| 150 | } |
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| 151 | fEnergyInterval[i] = (*theMaterialTable)[materialIndex]-> |
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| 152 | GetSandiaTable()->GetSandiaCofForMaterial(i-1,0); |
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| 153 | fA1[i] = (*theMaterialTable)[materialIndex]-> |
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| 154 | GetSandiaTable()->GetSandiaCofForMaterial(i-1,1); |
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| 155 | fA2[i] = (*theMaterialTable)[materialIndex]-> |
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| 156 | GetSandiaTable()->GetSandiaCofForMaterial(i-1,2); |
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| 157 | fA3[i] = (*theMaterialTable)[materialIndex]-> |
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| 158 | GetSandiaTable()->GetSandiaCofForMaterial(i-1,3); |
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| 159 | fA4[i] = (*theMaterialTable)[materialIndex]-> |
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| 160 | GetSandiaTable()->GetSandiaCofForMaterial(i-1,4); |
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| 161 | // G4cout<<i<<"\t"<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t" |
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[961] | 162 | // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl; |
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[819] | 163 | } |
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| 164 | if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer) |
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| 165 | { |
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| 166 | fIntervalNumber++; |
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[961] | 167 | fEnergyInterval[fIntervalNumber] = maxEnergyTransfer; |
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[819] | 168 | } |
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| 169 | |
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| 170 | // Now checking, if two borders are too close together |
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| 171 | |
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| 172 | for(i=1;i<fIntervalNumber;i++) |
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| 173 | { |
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| 174 | if(fEnergyInterval[i+1]-fEnergyInterval[i] > |
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| 175 | 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i])) |
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| 176 | { |
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[961] | 177 | continue; |
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[819] | 178 | } |
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| 179 | else |
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| 180 | { |
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| 181 | for(j=i;j<fIntervalNumber;j++) |
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| 182 | { |
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[961] | 183 | fEnergyInterval[j] = fEnergyInterval[j+1]; |
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| 184 | fA1[j] = fA1[j+1]; |
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| 185 | fA2[j] = fA2[j+1]; |
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| 186 | fA3[j] = fA3[j+1]; |
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| 187 | fA4[j] = fA4[j+1]; |
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[819] | 188 | } |
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[961] | 189 | fIntervalNumber--; |
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| 190 | i--; |
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[819] | 191 | } |
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| 192 | } |
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| 193 | |
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| 194 | |
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| 195 | /* ********************************* |
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| 196 | |
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[961] | 197 | fSplineEnergy = new G4double[fMaxSplineSize]; |
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| 198 | fRePartDielectricConst = new G4double[fMaxSplineSize]; |
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| 199 | fImPartDielectricConst = new G4double[fMaxSplineSize]; |
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| 200 | fIntegralTerm = new G4double[fMaxSplineSize]; |
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| 201 | fDifPAIxSection = new G4double[fMaxSplineSize]; |
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| 202 | fIntegralPAIxSection = new G4double[fMaxSplineSize]; |
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[819] | 203 | |
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| 204 | for(i=0;i<fMaxSplineSize;i++) |
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| 205 | { |
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[961] | 206 | fSplineEnergy[i] = 0.0; |
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| 207 | fRePartDielectricConst[i] = 0.0; |
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| 208 | fImPartDielectricConst[i] = 0.0; |
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| 209 | fIntegralTerm[i] = 0.0; |
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| 210 | fDifPAIxSection[i] = 0.0; |
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| 211 | fIntegralPAIxSection[i] = 0.0; |
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[819] | 212 | } |
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| 213 | ************************************************** */ |
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| 214 | |
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[961] | 215 | InitPAI(); // create arrays allocated above |
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[819] | 216 | |
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[961] | 217 | delete[] fEnergyInterval; |
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| 218 | delete[] fA1; |
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| 219 | delete[] fA2; |
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| 220 | delete[] fA3; |
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| 221 | delete[] fA4; |
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[819] | 222 | } |
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| 223 | |
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| 224 | //////////////////////////////////////////////////////////////////////// |
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| 225 | // |
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| 226 | // Constructor with beta*gamma square value |
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| 227 | |
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| 228 | G4PAIxSection::G4PAIxSection( G4int materialIndex, |
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| 229 | G4double maxEnergyTransfer, |
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| 230 | G4double betaGammaSq, |
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| 231 | G4double** photoAbsCof, |
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| 232 | G4int intNumber ) |
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| 233 | { |
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| 234 | const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable(); |
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[961] | 235 | G4int i, j; |
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| 236 | |
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| 237 | fMaterialIndex = materialIndex; |
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[819] | 238 | fDensity = (*theMaterialTable)[materialIndex]->GetDensity(); |
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| 239 | fElectronDensity = (*theMaterialTable)[materialIndex]-> |
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[961] | 240 | GetElectronDensity(); |
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[819] | 241 | |
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[961] | 242 | fIntervalNumber = intNumber; |
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[819] | 243 | fIntervalNumber--; |
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[961] | 244 | // G4cout<<fDensity<<"\t"<<fElectronDensity<<"\t"<<fIntervalNumber<<G4endl; |
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[819] | 245 | |
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[961] | 246 | fEnergyInterval = new G4double[fIntervalNumber+2]; |
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| 247 | fA1 = new G4double[fIntervalNumber+2]; |
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| 248 | fA2 = new G4double[fIntervalNumber+2]; |
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| 249 | fA3 = new G4double[fIntervalNumber+2]; |
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| 250 | fA4 = new G4double[fIntervalNumber+2]; |
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[819] | 251 | |
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[961] | 252 | for( i = 1; i <= fIntervalNumber; i++ ) |
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[819] | 253 | { |
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| 254 | if( ( photoAbsCof[i-1][0] >= maxEnergyTransfer ) || |
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| 255 | i > fIntervalNumber ) |
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| 256 | { |
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[961] | 257 | fEnergyInterval[i] = maxEnergyTransfer; |
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| 258 | fIntervalNumber = i; |
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[819] | 259 | break; |
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| 260 | } |
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[961] | 261 | fEnergyInterval[i] = photoAbsCof[i-1][0]; |
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| 262 | fA1[i] = photoAbsCof[i-1][1]; |
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| 263 | fA2[i] = photoAbsCof[i-1][2]; |
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| 264 | fA3[i] = photoAbsCof[i-1][3]; |
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| 265 | fA4[i] = photoAbsCof[i-1][4]; |
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[819] | 266 | // G4cout<<i<<"\t"<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t" |
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[961] | 267 | // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl; |
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[819] | 268 | } |
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| 269 | // G4cout<<"i last = "<<i<<"; "<<"fIntervalNumber = "<<fIntervalNumber<<G4endl; |
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| 270 | if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer) |
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| 271 | { |
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| 272 | fIntervalNumber++; |
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[961] | 273 | fEnergyInterval[fIntervalNumber] = maxEnergyTransfer; |
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[819] | 274 | } |
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| 275 | for(i=1;i<=fIntervalNumber;i++) |
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| 276 | { |
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| 277 | // G4cout<<i<<"\t"<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t" |
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[961] | 278 | // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl; |
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[819] | 279 | } |
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| 280 | // Now checking, if two borders are too close together |
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| 281 | |
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[961] | 282 | for( i = 1; i < fIntervalNumber; i++ ) |
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[819] | 283 | { |
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| 284 | if(fEnergyInterval[i+1]-fEnergyInterval[i] > |
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| 285 | 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i])) |
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| 286 | { |
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[961] | 287 | continue; |
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[819] | 288 | } |
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| 289 | else |
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| 290 | { |
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| 291 | for(j=i;j<fIntervalNumber;j++) |
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| 292 | { |
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[961] | 293 | fEnergyInterval[j] = fEnergyInterval[j+1]; |
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| 294 | fA1[j] = fA1[j+1]; |
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| 295 | fA2[j] = fA2[j+1]; |
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| 296 | fA3[j] = fA3[j+1]; |
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| 297 | fA4[j] = fA4[j+1]; |
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[819] | 298 | } |
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[961] | 299 | fIntervalNumber--; |
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| 300 | i--; |
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[819] | 301 | } |
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| 302 | } |
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| 303 | |
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| 304 | // Preparation of fSplineEnergy array corresponding to min ionisation, G~4 |
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| 305 | |
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| 306 | G4double betaGammaSqRef = |
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| 307 | fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1; |
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| 308 | |
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[961] | 309 | NormShift(betaGammaSqRef); |
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| 310 | SplainPAI(betaGammaSqRef); |
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[819] | 311 | |
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| 312 | // Preparation of integral PAI cross section for input betaGammaSq |
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| 313 | |
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[961] | 314 | for(i = 1; i <= fSplineNumber; i++) |
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[819] | 315 | { |
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| 316 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
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[961] | 317 | fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq); |
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[819] | 318 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
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[961] | 319 | fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq); |
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[819] | 320 | fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq); |
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[961] | 321 | |
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[819] | 322 | // G4cout<<i<<"; dNdxC = "<<fdNdxCerenkov[i]<<"; dNdxP = "<<fdNdxPlasmon[i] |
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| 323 | // <<"; dNdxPAI = "<<fDifPAIxSection[i]<<G4endl; |
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| 324 | } |
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[961] | 325 | IntegralCerenkov(); |
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| 326 | IntegralMM(); |
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| 327 | IntegralPlasmon(); |
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| 328 | IntegralResonance(); |
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| 329 | IntegralPAIxSection(); |
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[819] | 330 | |
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[961] | 331 | delete[] fEnergyInterval; |
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| 332 | delete[] fA1; |
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| 333 | delete[] fA2; |
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| 334 | delete[] fA3; |
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| 335 | delete[] fA4; |
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[819] | 336 | } |
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| 337 | |
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| 338 | //////////////////////////////////////////////////////////////////////// |
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| 339 | // |
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| 340 | // Test Constructor with beta*gamma square value |
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| 341 | |
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| 342 | G4PAIxSection::G4PAIxSection( G4int materialIndex, |
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| 343 | G4double maxEnergyTransfer, |
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| 344 | G4double betaGammaSq ) |
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| 345 | { |
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| 346 | const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable(); |
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| 347 | |
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[961] | 348 | G4int i, j, numberOfElements; |
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| 349 | |
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| 350 | fMaterialIndex = materialIndex; |
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[819] | 351 | fDensity = (*theMaterialTable)[materialIndex]->GetDensity(); |
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[961] | 352 | fElectronDensity = (*theMaterialTable)[materialIndex]->GetElectronDensity(); |
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| 353 | numberOfElements = (*theMaterialTable)[materialIndex]->GetNumberOfElements(); |
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[819] | 354 | |
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[961] | 355 | G4int* thisMaterialZ = new G4int[numberOfElements]; |
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[819] | 356 | |
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[961] | 357 | for( i = 0; i < numberOfElements; i++ ) |
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[819] | 358 | { |
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| 359 | thisMaterialZ[i] = (G4int)(*theMaterialTable)[materialIndex]-> |
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[961] | 360 | GetElement(i)->GetZ(); |
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[819] | 361 | } |
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[961] | 362 | // fSandia = new G4SandiaTable(materialIndex); |
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| 363 | fSandia = (*theMaterialTable)[materialIndex]-> |
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| 364 | GetSandiaTable(); |
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| 365 | G4SandiaTable thisMaterialSandiaTable(materialIndex); |
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[819] | 366 | fIntervalNumber = thisMaterialSandiaTable.SandiaIntervals |
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[961] | 367 | (thisMaterialZ,numberOfElements); |
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[819] | 368 | fIntervalNumber = thisMaterialSandiaTable.SandiaMixing |
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| 369 | ( thisMaterialZ , |
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| 370 | (*theMaterialTable)[materialIndex]->GetFractionVector() , |
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[961] | 371 | numberOfElements,fIntervalNumber); |
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[819] | 372 | |
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| 373 | fIntervalNumber--; |
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| 374 | |
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[961] | 375 | fEnergyInterval = new G4double[fIntervalNumber+2]; |
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| 376 | fA1 = new G4double[fIntervalNumber+2]; |
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| 377 | fA2 = new G4double[fIntervalNumber+2]; |
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| 378 | fA3 = new G4double[fIntervalNumber+2]; |
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| 379 | fA4 = new G4double[fIntervalNumber+2]; |
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[819] | 380 | |
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[961] | 381 | for( i = 1; i <= fIntervalNumber; i++ ) |
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[819] | 382 | { |
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| 383 | if((thisMaterialSandiaTable.GetPhotoAbsorpCof(i,0) >= maxEnergyTransfer) || |
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| 384 | i > fIntervalNumber) |
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| 385 | { |
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[961] | 386 | fEnergyInterval[i] = maxEnergyTransfer; |
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| 387 | fIntervalNumber = i; |
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[819] | 388 | break; |
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| 389 | } |
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[961] | 390 | fEnergyInterval[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,0); |
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| 391 | fA1[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,1)*fDensity; |
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| 392 | fA2[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,2)*fDensity; |
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| 393 | fA3[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,3)*fDensity; |
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| 394 | fA4[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,4)*fDensity; |
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[819] | 395 | |
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| 396 | } |
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| 397 | if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer) |
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| 398 | { |
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| 399 | fIntervalNumber++; |
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[961] | 400 | fEnergyInterval[fIntervalNumber] = maxEnergyTransfer; |
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| 401 | fA1[fIntervalNumber] = fA1[fIntervalNumber-1]; |
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| 402 | fA2[fIntervalNumber] = fA2[fIntervalNumber-1]; |
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| 403 | fA3[fIntervalNumber] = fA3[fIntervalNumber-1]; |
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| 404 | fA4[fIntervalNumber] = fA4[fIntervalNumber-1]; |
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[819] | 405 | } |
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| 406 | for(i=1;i<=fIntervalNumber;i++) |
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| 407 | { |
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| 408 | // G4cout<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t" |
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[961] | 409 | // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl; |
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[819] | 410 | } |
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| 411 | // Now checking, if two borders are too close together |
---|
| 412 | |
---|
[961] | 413 | for( i = 1; i < fIntervalNumber; i++ ) |
---|
[819] | 414 | { |
---|
| 415 | if(fEnergyInterval[i+1]-fEnergyInterval[i] > |
---|
| 416 | 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i])) |
---|
| 417 | { |
---|
[961] | 418 | continue; |
---|
[819] | 419 | } |
---|
| 420 | else |
---|
| 421 | { |
---|
[961] | 422 | for( j = i; j < fIntervalNumber; j++ ) |
---|
[819] | 423 | { |
---|
[961] | 424 | fEnergyInterval[j] = fEnergyInterval[j+1]; |
---|
| 425 | fA1[j] = fA1[j+1]; |
---|
| 426 | fA2[j] = fA2[j+1]; |
---|
| 427 | fA3[j] = fA3[j+1]; |
---|
| 428 | fA4[j] = fA4[j+1]; |
---|
[819] | 429 | } |
---|
[961] | 430 | fIntervalNumber--; |
---|
| 431 | i--; |
---|
[819] | 432 | } |
---|
| 433 | } |
---|
| 434 | |
---|
| 435 | /* ********************************* |
---|
[961] | 436 | fSplineEnergy = new G4double[fMaxSplineSize]; |
---|
| 437 | fRePartDielectricConst = new G4double[fMaxSplineSize]; |
---|
| 438 | fImPartDielectricConst = new G4double[fMaxSplineSize]; |
---|
| 439 | fIntegralTerm = new G4double[fMaxSplineSize]; |
---|
| 440 | fDifPAIxSection = new G4double[fMaxSplineSize]; |
---|
| 441 | fIntegralPAIxSection = new G4double[fMaxSplineSize]; |
---|
[819] | 442 | |
---|
| 443 | for(i=0;i<fMaxSplineSize;i++) |
---|
| 444 | { |
---|
[961] | 445 | fSplineEnergy[i] = 0.0; |
---|
| 446 | fRePartDielectricConst[i] = 0.0; |
---|
| 447 | fImPartDielectricConst[i] = 0.0; |
---|
| 448 | fIntegralTerm[i] = 0.0; |
---|
| 449 | fDifPAIxSection[i] = 0.0; |
---|
| 450 | fIntegralPAIxSection[i] = 0.0; |
---|
[819] | 451 | } |
---|
| 452 | */ //////////////////////// |
---|
| 453 | |
---|
| 454 | // Preparation of fSplineEnergy array corresponding to min ionisation, G~4 |
---|
| 455 | |
---|
| 456 | G4double betaGammaSqRef = |
---|
| 457 | fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1; |
---|
| 458 | |
---|
[961] | 459 | NormShift(betaGammaSqRef); |
---|
| 460 | SplainPAI(betaGammaSqRef); |
---|
[819] | 461 | |
---|
| 462 | // Preparation of integral PAI cross section for input betaGammaSq |
---|
| 463 | |
---|
[961] | 464 | for(i = 1; i <= fSplineNumber; i++) |
---|
[819] | 465 | { |
---|
| 466 | fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq); |
---|
| 467 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
---|
[961] | 468 | fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq); |
---|
[819] | 469 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
---|
[961] | 470 | fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq); |
---|
[819] | 471 | } |
---|
[961] | 472 | IntegralPAIxSection(); |
---|
| 473 | IntegralCerenkov(); |
---|
| 474 | IntegralMM(); |
---|
| 475 | IntegralPlasmon(); |
---|
| 476 | IntegralResonance(); |
---|
[819] | 477 | |
---|
[961] | 478 | // delete[] fEnergyInterval; |
---|
| 479 | delete[] fA1; |
---|
| 480 | delete[] fA2; |
---|
| 481 | delete[] fA3; |
---|
| 482 | delete[] fA4; |
---|
[819] | 483 | } |
---|
| 484 | |
---|
| 485 | |
---|
| 486 | //////////////////////////////////////////////////////////////////////////// |
---|
| 487 | // |
---|
| 488 | // Destructor |
---|
| 489 | |
---|
| 490 | G4PAIxSection::~G4PAIxSection() |
---|
| 491 | { |
---|
| 492 | /* ************************ |
---|
[961] | 493 | delete[] fSplineEnergy ; |
---|
| 494 | delete[] fRePartDielectricConst; |
---|
| 495 | delete[] fImPartDielectricConst; |
---|
| 496 | delete[] fIntegralTerm ; |
---|
| 497 | delete[] fDifPAIxSection ; |
---|
| 498 | delete[] fIntegralPAIxSection ; |
---|
[819] | 499 | */ //////////////////////// |
---|
| 500 | } |
---|
| 501 | |
---|
| 502 | ///////////////////////////////////////////////////////////////////////// |
---|
| 503 | // |
---|
| 504 | // General control function for class G4PAIxSection |
---|
| 505 | // |
---|
| 506 | |
---|
| 507 | void G4PAIxSection::InitPAI() |
---|
| 508 | { |
---|
[961] | 509 | G4int i; |
---|
[819] | 510 | G4double betaGammaSq = fLorentzFactor[fRefGammaNumber]* |
---|
| 511 | fLorentzFactor[fRefGammaNumber] - 1; |
---|
| 512 | |
---|
| 513 | // Preparation of integral PAI cross section for reference gamma |
---|
| 514 | |
---|
[961] | 515 | NormShift(betaGammaSq); |
---|
| 516 | SplainPAI(betaGammaSq); |
---|
[819] | 517 | |
---|
[961] | 518 | IntegralPAIxSection(); |
---|
| 519 | IntegralCerenkov(); |
---|
| 520 | IntegralMM(); |
---|
| 521 | IntegralPlasmon(); |
---|
| 522 | IntegralResonance(); |
---|
[819] | 523 | |
---|
[961] | 524 | for(i = 0; i<= fSplineNumber; i++) |
---|
[819] | 525 | { |
---|
[961] | 526 | fPAItable[i][fRefGammaNumber] = fIntegralPAIxSection[i]; |
---|
[819] | 527 | if(i != 0) |
---|
| 528 | { |
---|
[961] | 529 | fPAItable[i][0] = fSplineEnergy[i]; |
---|
[819] | 530 | } |
---|
| 531 | } |
---|
[961] | 532 | fPAItable[0][0] = fSplineNumber; |
---|
[819] | 533 | |
---|
[961] | 534 | for(G4int j = 1; j < 112; j++) // for other gammas |
---|
[819] | 535 | { |
---|
[961] | 536 | if( j == fRefGammaNumber ) continue; |
---|
[819] | 537 | |
---|
[961] | 538 | betaGammaSq = fLorentzFactor[j]*fLorentzFactor[j] - 1; |
---|
[819] | 539 | |
---|
[961] | 540 | for(i = 1; i <= fSplineNumber; i++) |
---|
[819] | 541 | { |
---|
| 542 | fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq); |
---|
| 543 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
---|
[961] | 544 | fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq); |
---|
[819] | 545 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
---|
[961] | 546 | fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq); |
---|
[819] | 547 | } |
---|
[961] | 548 | IntegralPAIxSection(); |
---|
| 549 | IntegralCerenkov(); |
---|
| 550 | IntegralMM(); |
---|
| 551 | IntegralPlasmon(); |
---|
| 552 | IntegralResonance(); |
---|
[819] | 553 | |
---|
[961] | 554 | for(i = 0; i <= fSplineNumber; i++) |
---|
[819] | 555 | { |
---|
[961] | 556 | fPAItable[i][j] = fIntegralPAIxSection[i]; |
---|
[819] | 557 | } |
---|
| 558 | } |
---|
| 559 | |
---|
| 560 | } |
---|
| 561 | |
---|
| 562 | /////////////////////////////////////////////////////////////////////// |
---|
| 563 | // |
---|
| 564 | // Shifting from borders to intervals Creation of first energy points |
---|
| 565 | // |
---|
| 566 | |
---|
| 567 | void G4PAIxSection::NormShift(G4double betaGammaSq) |
---|
| 568 | { |
---|
[961] | 569 | G4int i, j; |
---|
[819] | 570 | |
---|
[961] | 571 | for( i = 1; i <= fIntervalNumber-1; i++ ) |
---|
[819] | 572 | { |
---|
[961] | 573 | for( j = 1; j <= 2; j++ ) |
---|
[819] | 574 | { |
---|
[961] | 575 | fSplineNumber = (i-1)*2 + j; |
---|
[819] | 576 | |
---|
| 577 | if( j == 1 ) fSplineEnergy[fSplineNumber] = fEnergyInterval[i ]*(1+fDelta); |
---|
| 578 | else fSplineEnergy[fSplineNumber] = fEnergyInterval[i+1]*(1-fDelta); |
---|
| 579 | // G4cout<<"cn = "<<fSplineNumber<<"; "<<"energy = " |
---|
| 580 | // <<fSplineEnergy[fSplineNumber]<<G4endl; |
---|
| 581 | } |
---|
| 582 | } |
---|
| 583 | fIntegralTerm[1]=RutherfordIntegral(1,fEnergyInterval[1],fSplineEnergy[1]); |
---|
| 584 | |
---|
[961] | 585 | j = 1; |
---|
[819] | 586 | |
---|
[961] | 587 | for( i = 2; i <= fSplineNumber; i++ ) |
---|
[819] | 588 | { |
---|
| 589 | if(fSplineEnergy[i]<fEnergyInterval[j+1]) |
---|
| 590 | { |
---|
| 591 | fIntegralTerm[i] = fIntegralTerm[i-1] + |
---|
| 592 | RutherfordIntegral(j,fSplineEnergy[i-1], |
---|
[961] | 593 | fSplineEnergy[i] ); |
---|
[819] | 594 | } |
---|
| 595 | else |
---|
| 596 | { |
---|
| 597 | G4double x = RutherfordIntegral(j,fSplineEnergy[i-1], |
---|
[961] | 598 | fEnergyInterval[j+1] ); |
---|
[819] | 599 | j++; |
---|
| 600 | fIntegralTerm[i] = fIntegralTerm[i-1] + x + |
---|
| 601 | RutherfordIntegral(j,fEnergyInterval[j], |
---|
[961] | 602 | fSplineEnergy[i] ); |
---|
[819] | 603 | } |
---|
| 604 | // G4cout<<i<<"\t"<<fSplineEnergy[i]<<"\t"<<fIntegralTerm[i]<<"\n"<<G4endl; |
---|
| 605 | } |
---|
[961] | 606 | fNormalizationCof = 2*pi*pi*hbarc*hbarc*fine_structure_const/electron_mass_c2; |
---|
| 607 | fNormalizationCof *= fElectronDensity/fIntegralTerm[fSplineNumber]; |
---|
[819] | 608 | |
---|
[961] | 609 | // G4cout<<"fNormalizationCof = "<<fNormalizationCof<<G4endl; |
---|
[819] | 610 | |
---|
| 611 | // Calculation of PAI differrential cross-section (1/(keV*cm)) |
---|
| 612 | // in the energy points near borders of energy intervals |
---|
| 613 | |
---|
[961] | 614 | for(G4int k = 1; k <= fIntervalNumber-1; k++ ) |
---|
[819] | 615 | { |
---|
[961] | 616 | for( j = 1; j <= 2; j++ ) |
---|
[819] | 617 | { |
---|
[961] | 618 | i = (k-1)*2 + j; |
---|
[819] | 619 | fImPartDielectricConst[i] = fNormalizationCof* |
---|
| 620 | ImPartDielectricConst(k,fSplineEnergy[i]); |
---|
| 621 | fRePartDielectricConst[i] = fNormalizationCof* |
---|
| 622 | RePartDielectricConst(fSplineEnergy[i]); |
---|
| 623 | fIntegralTerm[i] *= fNormalizationCof; |
---|
| 624 | |
---|
| 625 | fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq); |
---|
| 626 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
---|
[961] | 627 | fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq); |
---|
[819] | 628 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
---|
[961] | 629 | fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq); |
---|
[819] | 630 | } |
---|
| 631 | } |
---|
| 632 | |
---|
| 633 | } // end of NormShift |
---|
| 634 | |
---|
| 635 | ///////////////////////////////////////////////////////////////////////// |
---|
| 636 | // |
---|
| 637 | // Creation of new energy points as geometrical mean of existing |
---|
| 638 | // one, calculation PAI_cs for them, while the error of logarithmic |
---|
| 639 | // linear approximation would be smaller than 'fError' |
---|
| 640 | |
---|
[961] | 641 | void G4PAIxSection::SplainPAI(G4double betaGammaSq) |
---|
[819] | 642 | { |
---|
[961] | 643 | G4int k = 1; |
---|
| 644 | G4int i = 1; |
---|
[819] | 645 | |
---|
| 646 | while ( (i < fSplineNumber) && (fSplineNumber < fMaxSplineSize-1) ) |
---|
| 647 | { |
---|
| 648 | if(fSplineEnergy[i+1] > fEnergyInterval[k+1]) |
---|
| 649 | { |
---|
[961] | 650 | k++; // Here next energy point is in next energy interval |
---|
[819] | 651 | i++; |
---|
| 652 | continue; |
---|
| 653 | } |
---|
| 654 | // Shifting of arrayes for inserting the geometrical |
---|
| 655 | // average of 'i' and 'i+1' energy points to 'i+1' place |
---|
| 656 | fSplineNumber++; |
---|
| 657 | |
---|
[961] | 658 | for(G4int j = fSplineNumber; j >= i+2; j-- ) |
---|
[819] | 659 | { |
---|
| 660 | fSplineEnergy[j] = fSplineEnergy[j-1]; |
---|
| 661 | fImPartDielectricConst[j] = fImPartDielectricConst[j-1]; |
---|
| 662 | fRePartDielectricConst[j] = fRePartDielectricConst[j-1]; |
---|
| 663 | fIntegralTerm[j] = fIntegralTerm[j-1]; |
---|
| 664 | |
---|
| 665 | fDifPAIxSection[j] = fDifPAIxSection[j-1]; |
---|
| 666 | fdNdxCerenkov[j] = fdNdxCerenkov[j-1]; |
---|
[961] | 667 | fdNdxMM[j] = fdNdxMM[j-1]; |
---|
[819] | 668 | fdNdxPlasmon[j] = fdNdxPlasmon[j-1]; |
---|
[961] | 669 | fdNdxResonance[j] = fdNdxResonance[j-1]; |
---|
[819] | 670 | } |
---|
| 671 | G4double x1 = fSplineEnergy[i]; |
---|
| 672 | G4double x2 = fSplineEnergy[i+1]; |
---|
| 673 | G4double yy1 = fDifPAIxSection[i]; |
---|
| 674 | G4double y2 = fDifPAIxSection[i+1]; |
---|
| 675 | |
---|
| 676 | G4double en1 = sqrt(x1*x2); |
---|
| 677 | fSplineEnergy[i+1] = en1; |
---|
| 678 | |
---|
| 679 | // Calculation of logarithmic linear approximation |
---|
| 680 | // in this (enr) energy point, which number is 'i+1' now |
---|
| 681 | |
---|
| 682 | G4double a = log10(y2/yy1)/log10(x2/x1); |
---|
| 683 | G4double b = log10(yy1) - a*log10(x1); |
---|
[961] | 684 | G4double y = a*log10(en1) + b; |
---|
[819] | 685 | y = pow(10.,y); |
---|
| 686 | |
---|
| 687 | // Calculation of the PAI dif. cross-section at this point |
---|
| 688 | |
---|
| 689 | fImPartDielectricConst[i+1] = fNormalizationCof* |
---|
| 690 | ImPartDielectricConst(k,fSplineEnergy[i+1]); |
---|
| 691 | fRePartDielectricConst[i+1] = fNormalizationCof* |
---|
| 692 | RePartDielectricConst(fSplineEnergy[i+1]); |
---|
| 693 | fIntegralTerm[i+1] = fIntegralTerm[i] + fNormalizationCof* |
---|
| 694 | RutherfordIntegral(k,fSplineEnergy[i], |
---|
| 695 | fSplineEnergy[i+1]); |
---|
| 696 | |
---|
| 697 | fDifPAIxSection[i+1] = DifPAIxSection(i+1,betaGammaSq); |
---|
| 698 | fdNdxCerenkov[i+1] = PAIdNdxCerenkov(i+1,betaGammaSq); |
---|
[961] | 699 | fdNdxMM[i+1] = PAIdNdxMM(i+1,betaGammaSq); |
---|
[819] | 700 | fdNdxPlasmon[i+1] = PAIdNdxPlasmon(i+1,betaGammaSq); |
---|
[961] | 701 | fdNdxResonance[i+1] = PAIdNdxResonance(i+1,betaGammaSq); |
---|
[819] | 702 | |
---|
| 703 | // Condition for next division of this segment or to pass |
---|
| 704 | // to higher energies |
---|
| 705 | |
---|
| 706 | G4double x = 2*(fDifPAIxSection[i+1] - y)/(fDifPAIxSection[i+1] + y); |
---|
| 707 | |
---|
| 708 | if( x < 0 ) |
---|
| 709 | { |
---|
[961] | 710 | x = -x; |
---|
[819] | 711 | } |
---|
| 712 | if( x > fError && fSplineNumber < fMaxSplineSize-1 ) |
---|
| 713 | { |
---|
| 714 | continue; // next division |
---|
| 715 | } |
---|
| 716 | i += 2; // pass to next segment |
---|
| 717 | |
---|
| 718 | } // close 'while' |
---|
| 719 | |
---|
| 720 | } // end of SplainPAI |
---|
| 721 | |
---|
| 722 | |
---|
| 723 | //////////////////////////////////////////////////////////////////// |
---|
| 724 | // |
---|
| 725 | // Integration over electrons that could be considered |
---|
| 726 | // quasi-free at energy transfer of interest |
---|
| 727 | |
---|
| 728 | G4double G4PAIxSection::RutherfordIntegral( G4int k, |
---|
| 729 | G4double x1, |
---|
| 730 | G4double x2 ) |
---|
| 731 | { |
---|
[961] | 732 | G4double c1, c2, c3; |
---|
[819] | 733 | // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<x2<<G4endl; |
---|
[961] | 734 | c1 = (x2 - x1)/x1/x2; |
---|
| 735 | c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2; |
---|
| 736 | c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2; |
---|
[819] | 737 | // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<<c2<<"; "<<"c3 = "<<c3<<G4endl; |
---|
| 738 | |
---|
[961] | 739 | return fA1[k]*log(x2/x1) + fA2[k]*c1 + fA3[k]*c2/2 + fA4[k]*c3/3; |
---|
[819] | 740 | |
---|
| 741 | } // end of RutherfordIntegral |
---|
| 742 | |
---|
| 743 | |
---|
| 744 | ///////////////////////////////////////////////////////////////// |
---|
| 745 | // |
---|
| 746 | // Imaginary part of dielectric constant |
---|
| 747 | // (G4int k - interval number, G4double en1 - energy point) |
---|
| 748 | |
---|
| 749 | G4double G4PAIxSection::ImPartDielectricConst( G4int k , |
---|
| 750 | G4double energy1 ) |
---|
| 751 | { |
---|
| 752 | G4double energy2,energy3,energy4,result; |
---|
| 753 | |
---|
| 754 | energy2 = energy1*energy1; |
---|
| 755 | energy3 = energy2*energy1; |
---|
| 756 | energy4 = energy3*energy1; |
---|
| 757 | |
---|
[961] | 758 | result = fA1[k]/energy1+fA2[k]/energy2+fA3[k]/energy3+fA4[k]/energy4; |
---|
| 759 | result *=hbarc/energy1; |
---|
[819] | 760 | |
---|
[961] | 761 | return result; |
---|
[819] | 762 | |
---|
| 763 | } // end of ImPartDielectricConst |
---|
| 764 | |
---|
[961] | 765 | ///////////////////////////////////////////////////////////////// |
---|
| 766 | // |
---|
| 767 | // Returns lambda of photon with energy1 in current material |
---|
[819] | 768 | |
---|
[961] | 769 | G4double G4PAIxSection::GetPhotonRange( G4double energy1 ) |
---|
| 770 | { |
---|
| 771 | G4int i; |
---|
| 772 | G4double energy2, energy3, energy4, result, lambda; |
---|
| 773 | |
---|
| 774 | energy2 = energy1*energy1; |
---|
| 775 | energy3 = energy2*energy1; |
---|
| 776 | energy4 = energy3*energy1; |
---|
| 777 | |
---|
| 778 | // G4double* SandiaCof = fSandia->GetSandiaCofForMaterialPAI(energy1); |
---|
| 779 | // result = SandiaCof[0]/energy1+SandiaCof[1]/energy2+SandiaCof[2]/energy3+SandiaCof[3]/energy4; |
---|
| 780 | // result *= fDensity; |
---|
| 781 | |
---|
| 782 | for( i = 1; i <= fIntervalNumber; i++ ) |
---|
| 783 | { |
---|
| 784 | if( energy1 < fEnergyInterval[i]) break; |
---|
| 785 | } |
---|
| 786 | i--; |
---|
| 787 | if(i == 0) i = 1; |
---|
| 788 | |
---|
| 789 | result = fA1[i]/energy1+fA2[i]/energy2+fA3[i]/energy3+fA4[i]/energy4; |
---|
| 790 | |
---|
| 791 | if( result > DBL_MIN ) lambda = 1./result; |
---|
| 792 | else lambda = DBL_MAX; |
---|
| 793 | |
---|
| 794 | return lambda; |
---|
| 795 | } |
---|
| 796 | |
---|
| 797 | ///////////////////////////////////////////////////////////////// |
---|
| 798 | // |
---|
| 799 | // Return lambda of electron with energy1 in current material |
---|
| 800 | // parametrisation from NIM A554(2005)474-493 |
---|
| 801 | |
---|
| 802 | G4double G4PAIxSection::GetElectronRange( G4double energy ) |
---|
| 803 | { |
---|
| 804 | G4double range; |
---|
| 805 | /* |
---|
| 806 | const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable(); |
---|
| 807 | |
---|
| 808 | G4double Z = (*theMaterialTable)[fMaterialIndex]->GetIonisation()->GetZeffective(); |
---|
| 809 | G4double A = (*theMaterialTable)[fMaterialIndex]->GetA(); |
---|
| 810 | |
---|
| 811 | energy /= keV; // energy in keV in parametrised formula |
---|
| 812 | |
---|
| 813 | if (energy < 10.) |
---|
| 814 | { |
---|
| 815 | range = 3.872e-3*A/Z; |
---|
| 816 | range *= pow(energy,1.492); |
---|
| 817 | } |
---|
| 818 | else |
---|
| 819 | { |
---|
| 820 | range = 6.97e-3*pow(energy,1.6); |
---|
| 821 | } |
---|
| 822 | */ |
---|
| 823 | // Blum&Rolandi Particle Detection with Drift Chambers, p. 7 |
---|
| 824 | |
---|
| 825 | G4double cofA = 5.37e-4*g/cm2/keV; |
---|
| 826 | G4double cofB = 0.9815; |
---|
| 827 | G4double cofC = 3.123e-3/keV; |
---|
| 828 | // energy /= keV; |
---|
| 829 | |
---|
| 830 | range = cofA*energy*( 1 - cofB/(1 + cofC*energy) ); |
---|
| 831 | |
---|
| 832 | // range *= g/cm2; |
---|
| 833 | range /= fDensity; |
---|
| 834 | |
---|
| 835 | return range; |
---|
| 836 | } |
---|
| 837 | |
---|
[819] | 838 | ////////////////////////////////////////////////////////////////////////////// |
---|
| 839 | // |
---|
| 840 | // Real part of dielectric constant minus unit: epsilon_1 - 1 |
---|
| 841 | // (G4double enb - energy point) |
---|
| 842 | // |
---|
| 843 | |
---|
| 844 | G4double G4PAIxSection::RePartDielectricConst(G4double enb) |
---|
| 845 | { |
---|
| 846 | G4double x0, x02, x03, x04, x05, x1, x2, xx1 ,xx2 , xx12, |
---|
[961] | 847 | c1, c2, c3, cof1, cof2, xln1, xln2, xln3, result; |
---|
[819] | 848 | |
---|
[961] | 849 | x0 = enb; |
---|
| 850 | result = 0; |
---|
[819] | 851 | |
---|
| 852 | for(G4int i=1;i<=fIntervalNumber-1;i++) |
---|
| 853 | { |
---|
[961] | 854 | x1 = fEnergyInterval[i]; |
---|
| 855 | x2 = fEnergyInterval[i+1]; |
---|
| 856 | xx1 = x1 - x0; |
---|
| 857 | xx2 = x2 - x0; |
---|
| 858 | xx12 = xx2/xx1; |
---|
[819] | 859 | |
---|
| 860 | if(xx12<0) |
---|
| 861 | { |
---|
| 862 | xx12 = -xx12; |
---|
| 863 | } |
---|
[961] | 864 | xln1 = log(x2/x1); |
---|
| 865 | xln2 = log(xx12); |
---|
| 866 | xln3 = log((x2 + x0)/(x1 + x0)); |
---|
| 867 | x02 = x0*x0; |
---|
| 868 | x03 = x02*x0; |
---|
| 869 | x04 = x03*x0; |
---|
[819] | 870 | x05 = x04*x0; |
---|
[961] | 871 | c1 = (x2 - x1)/x1/x2; |
---|
| 872 | c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2; |
---|
| 873 | c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2; |
---|
[819] | 874 | |
---|
[961] | 875 | result -= (fA1[i]/x02 + fA3[i]/x04)*xln1; |
---|
| 876 | result -= (fA2[i]/x02 + fA4[i]/x04)*c1; |
---|
| 877 | result -= fA3[i]*c2/2/x02; |
---|
| 878 | result -= fA4[i]*c3/3/x02; |
---|
[819] | 879 | |
---|
[961] | 880 | cof1 = fA1[i]/x02 + fA3[i]/x04; |
---|
| 881 | cof2 = fA2[i]/x03 + fA4[i]/x05; |
---|
[819] | 882 | |
---|
[961] | 883 | result += 0.5*(cof1 +cof2)*xln2; |
---|
| 884 | result += 0.5*(cof1 - cof2)*xln3; |
---|
[819] | 885 | } |
---|
[961] | 886 | result *= 2*hbarc/pi; |
---|
[819] | 887 | |
---|
[961] | 888 | return result; |
---|
[819] | 889 | |
---|
| 890 | } // end of RePartDielectricConst |
---|
| 891 | |
---|
| 892 | ////////////////////////////////////////////////////////////////////// |
---|
| 893 | // |
---|
| 894 | // PAI differential cross-section in terms of |
---|
| 895 | // simplified Allison's equation |
---|
| 896 | // |
---|
| 897 | |
---|
| 898 | G4double G4PAIxSection::DifPAIxSection( G4int i , |
---|
| 899 | G4double betaGammaSq ) |
---|
| 900 | { |
---|
[961] | 901 | G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,result; |
---|
| 902 | //G4double beta, be4; |
---|
| 903 | G4double be4; |
---|
| 904 | G4double betaBohr2 = fine_structure_const*fine_structure_const; |
---|
| 905 | G4double betaBohr4 = betaBohr2*betaBohr2*4.0; |
---|
| 906 | be2 = betaGammaSq/(1 + betaGammaSq); |
---|
| 907 | be4 = be2*be2; |
---|
| 908 | // beta = sqrt(be2); |
---|
| 909 | cof = 1; |
---|
| 910 | x1 = log(2*electron_mass_c2/fSplineEnergy[i]); |
---|
[819] | 911 | |
---|
[961] | 912 | if( betaGammaSq < 0.01 ) x2 = log(be2); |
---|
[819] | 913 | else |
---|
| 914 | { |
---|
| 915 | x2 = -log( (1/betaGammaSq - fRePartDielectricConst[i])* |
---|
| 916 | (1/betaGammaSq - fRePartDielectricConst[i]) + |
---|
[961] | 917 | fImPartDielectricConst[i]*fImPartDielectricConst[i] )/2; |
---|
[819] | 918 | } |
---|
| 919 | if( fImPartDielectricConst[i] == 0.0 ||betaGammaSq < 0.01 ) |
---|
| 920 | { |
---|
[961] | 921 | x6=0; |
---|
[819] | 922 | } |
---|
| 923 | else |
---|
| 924 | { |
---|
[961] | 925 | x3 = -fRePartDielectricConst[i] + 1/betaGammaSq; |
---|
[819] | 926 | x5 = -1 - fRePartDielectricConst[i] + |
---|
| 927 | be2*((1 +fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
[961] | 928 | fImPartDielectricConst[i]*fImPartDielectricConst[i]); |
---|
[819] | 929 | |
---|
[961] | 930 | x7 = atan2(fImPartDielectricConst[i],x3); |
---|
| 931 | x6 = x5 * x7; |
---|
[819] | 932 | } |
---|
[961] | 933 | // if(fImPartDielectricConst[i] == 0) x6 = 0; |
---|
[819] | 934 | |
---|
[961] | 935 | x4 = ((x1 + x2)*fImPartDielectricConst[i] + x6)/hbarc; |
---|
| 936 | // if( x4 < 0.0 ) x4 = 0.0; |
---|
[819] | 937 | x8 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
[961] | 938 | fImPartDielectricConst[i]*fImPartDielectricConst[i]; |
---|
[819] | 939 | |
---|
[961] | 940 | result = (x4 + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i]); |
---|
| 941 | if(result < 1.0e-8) result = 1.0e-8; |
---|
| 942 | result *= fine_structure_const/be2/pi; |
---|
| 943 | // result *= (1-exp(-beta/betaBohr))*(1-exp(-beta/betaBohr)); |
---|
| 944 | // result *= (1-exp(-be2/betaBohr2)); |
---|
| 945 | result *= (1-exp(-be4/betaBohr4)); |
---|
[819] | 946 | if(fDensity >= 0.1) |
---|
| 947 | { |
---|
[961] | 948 | result /= x8; |
---|
[819] | 949 | } |
---|
[961] | 950 | return result; |
---|
[819] | 951 | |
---|
| 952 | } // end of DifPAIxSection |
---|
| 953 | |
---|
| 954 | ////////////////////////////////////////////////////////////////////////// |
---|
| 955 | // |
---|
| 956 | // Calculation od dN/dx of collisions with creation of Cerenkov pseudo-photons |
---|
| 957 | |
---|
| 958 | G4double G4PAIxSection::PAIdNdxCerenkov( G4int i , |
---|
| 959 | G4double betaGammaSq ) |
---|
| 960 | { |
---|
[961] | 961 | G4double logarithm, x3, x5, argument, modul2, dNdxC; |
---|
| 962 | G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr; |
---|
[819] | 963 | |
---|
[961] | 964 | cofBetaBohr = 4.0; |
---|
| 965 | betaBohr2 = fine_structure_const*fine_structure_const; |
---|
| 966 | betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr; |
---|
[819] | 967 | |
---|
[961] | 968 | be2 = betaGammaSq/(1 + betaGammaSq); |
---|
| 969 | be4 = be2*be2; |
---|
[819] | 970 | |
---|
[961] | 971 | if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq); // 0.0; |
---|
[819] | 972 | else |
---|
| 973 | { |
---|
| 974 | logarithm = -log( (1/betaGammaSq - fRePartDielectricConst[i])* |
---|
| 975 | (1/betaGammaSq - fRePartDielectricConst[i]) + |
---|
[961] | 976 | fImPartDielectricConst[i]*fImPartDielectricConst[i] )*0.5; |
---|
| 977 | logarithm += log(1+1.0/betaGammaSq); |
---|
[819] | 978 | } |
---|
| 979 | |
---|
| 980 | if( fImPartDielectricConst[i] == 0.0 || betaGammaSq < 0.01 ) |
---|
| 981 | { |
---|
[961] | 982 | argument = 0.0; |
---|
[819] | 983 | } |
---|
| 984 | else |
---|
| 985 | { |
---|
[961] | 986 | x3 = -fRePartDielectricConst[i] + 1.0/betaGammaSq; |
---|
[819] | 987 | x5 = -1.0 - fRePartDielectricConst[i] + |
---|
| 988 | be2*((1.0 +fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) + |
---|
[961] | 989 | fImPartDielectricConst[i]*fImPartDielectricConst[i]); |
---|
[819] | 990 | if( x3 == 0.0 ) argument = 0.5*pi; |
---|
[961] | 991 | else argument = atan2(fImPartDielectricConst[i],x3); |
---|
| 992 | argument *= x5 ; |
---|
[819] | 993 | } |
---|
[961] | 994 | dNdxC = ( logarithm*fImPartDielectricConst[i] + argument )/hbarc; |
---|
[819] | 995 | |
---|
[961] | 996 | if(dNdxC < 1.0e-8) dNdxC = 1.0e-8; |
---|
[819] | 997 | |
---|
[961] | 998 | dNdxC *= fine_structure_const/be2/pi; |
---|
[819] | 999 | |
---|
[961] | 1000 | dNdxC *= (1-exp(-be4/betaBohr4)); |
---|
[819] | 1001 | |
---|
| 1002 | if(fDensity >= 0.1) |
---|
| 1003 | { |
---|
| 1004 | modul2 = (1.0 + fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) + |
---|
[961] | 1005 | fImPartDielectricConst[i]*fImPartDielectricConst[i]; |
---|
| 1006 | dNdxC /= modul2; |
---|
[819] | 1007 | } |
---|
[961] | 1008 | return dNdxC; |
---|
[819] | 1009 | |
---|
| 1010 | } // end of PAIdNdxCerenkov |
---|
| 1011 | |
---|
| 1012 | ////////////////////////////////////////////////////////////////////////// |
---|
| 1013 | // |
---|
[961] | 1014 | // Calculation od dN/dx of collisions of MM with creation of Cerenkov pseudo-photons |
---|
| 1015 | |
---|
| 1016 | G4double G4PAIxSection::PAIdNdxMM( G4int i , |
---|
| 1017 | G4double betaGammaSq ) |
---|
| 1018 | { |
---|
| 1019 | G4double logarithm, x3, x5, argument, dNdxC; |
---|
| 1020 | G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr; |
---|
| 1021 | |
---|
| 1022 | cofBetaBohr = 4.0; |
---|
| 1023 | betaBohr2 = fine_structure_const*fine_structure_const; |
---|
| 1024 | betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr; |
---|
| 1025 | |
---|
| 1026 | be2 = betaGammaSq/(1 + betaGammaSq); |
---|
| 1027 | be4 = be2*be2; |
---|
| 1028 | |
---|
| 1029 | if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq); // 0.0; |
---|
| 1030 | else |
---|
| 1031 | { |
---|
| 1032 | logarithm = -log( (1/betaGammaSq - fRePartDielectricConst[i])* |
---|
| 1033 | (1/betaGammaSq - fRePartDielectricConst[i]) + |
---|
| 1034 | fImPartDielectricConst[i]*fImPartDielectricConst[i] )*0.5; |
---|
| 1035 | logarithm += log(1+1.0/betaGammaSq); |
---|
| 1036 | } |
---|
| 1037 | |
---|
| 1038 | if( fImPartDielectricConst[i] == 0.0 || betaGammaSq < 0.01 ) |
---|
| 1039 | { |
---|
| 1040 | argument = 0.0; |
---|
| 1041 | } |
---|
| 1042 | else |
---|
| 1043 | { |
---|
| 1044 | x3 = -fRePartDielectricConst[i] + 1.0/betaGammaSq; |
---|
| 1045 | x5 = be2*( 1.0 + fRePartDielectricConst[i] ) - 1.0; |
---|
| 1046 | if( x3 == 0.0 ) argument = 0.5*pi; |
---|
| 1047 | else argument = atan2(fImPartDielectricConst[i],x3); |
---|
| 1048 | argument *= x5 ; |
---|
| 1049 | } |
---|
| 1050 | dNdxC = ( logarithm*fImPartDielectricConst[i]*be2 + argument )/hbarc; |
---|
| 1051 | |
---|
| 1052 | if(dNdxC < 1.0e-8) dNdxC = 1.0e-8; |
---|
| 1053 | |
---|
| 1054 | dNdxC *= fine_structure_const/be2/pi; |
---|
| 1055 | |
---|
| 1056 | dNdxC *= (1-exp(-be4/betaBohr4)); |
---|
| 1057 | return dNdxC; |
---|
| 1058 | |
---|
| 1059 | } // end of PAIdNdxMM |
---|
| 1060 | |
---|
| 1061 | ////////////////////////////////////////////////////////////////////////// |
---|
| 1062 | // |
---|
[819] | 1063 | // Calculation od dN/dx of collisions with creation of longitudinal EM |
---|
| 1064 | // excitations (plasmons, delta-electrons) |
---|
| 1065 | |
---|
| 1066 | G4double G4PAIxSection::PAIdNdxPlasmon( G4int i , |
---|
| 1067 | G4double betaGammaSq ) |
---|
| 1068 | { |
---|
[961] | 1069 | G4double resonance, modul2, dNdxP, cof = 1.; |
---|
| 1070 | G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr; |
---|
[819] | 1071 | |
---|
[961] | 1072 | |
---|
| 1073 | cofBetaBohr = 4.0; |
---|
| 1074 | betaBohr2 = fine_structure_const*fine_structure_const; |
---|
| 1075 | betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr; |
---|
[819] | 1076 | |
---|
[961] | 1077 | be2 = betaGammaSq/(1 + betaGammaSq); |
---|
| 1078 | be4 = be2*be2; |
---|
[819] | 1079 | |
---|
[961] | 1080 | resonance = log(2*electron_mass_c2*be2/fSplineEnergy[i]); |
---|
| 1081 | resonance *= fImPartDielectricConst[i]/hbarc; |
---|
[819] | 1082 | |
---|
| 1083 | |
---|
[961] | 1084 | dNdxP = ( resonance + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i] ); |
---|
[819] | 1085 | |
---|
[961] | 1086 | if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8; |
---|
[819] | 1087 | |
---|
[961] | 1088 | dNdxP *= fine_structure_const/be2/pi; |
---|
| 1089 | dNdxP *= (1-exp(-be4/betaBohr4)); |
---|
[819] | 1090 | |
---|
| 1091 | if( fDensity >= 0.1 ) |
---|
| 1092 | { |
---|
| 1093 | modul2 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
[961] | 1094 | fImPartDielectricConst[i]*fImPartDielectricConst[i]; |
---|
| 1095 | dNdxP /= modul2; |
---|
[819] | 1096 | } |
---|
[961] | 1097 | return dNdxP; |
---|
[819] | 1098 | |
---|
| 1099 | } // end of PAIdNdxPlasmon |
---|
| 1100 | |
---|
[961] | 1101 | ////////////////////////////////////////////////////////////////////////// |
---|
| 1102 | // |
---|
| 1103 | // Calculation od dN/dx of collisions with creation of longitudinal EM |
---|
| 1104 | // resonance excitations (plasmons, delta-electrons) |
---|
| 1105 | |
---|
| 1106 | G4double G4PAIxSection::PAIdNdxResonance( G4int i , |
---|
| 1107 | G4double betaGammaSq ) |
---|
| 1108 | { |
---|
| 1109 | G4double resonance, modul2, dNdxP; |
---|
| 1110 | G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr; |
---|
| 1111 | |
---|
| 1112 | cofBetaBohr = 4.0; |
---|
| 1113 | betaBohr2 = fine_structure_const*fine_structure_const; |
---|
| 1114 | betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr; |
---|
| 1115 | |
---|
| 1116 | be2 = betaGammaSq/(1 + betaGammaSq); |
---|
| 1117 | be4 = be2*be2; |
---|
| 1118 | |
---|
| 1119 | resonance = log(2*electron_mass_c2*be2/fSplineEnergy[i]); |
---|
| 1120 | resonance *= fImPartDielectricConst[i]/hbarc; |
---|
| 1121 | |
---|
| 1122 | |
---|
| 1123 | dNdxP = resonance; |
---|
| 1124 | |
---|
| 1125 | if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8; |
---|
| 1126 | |
---|
| 1127 | dNdxP *= fine_structure_const/be2/pi; |
---|
| 1128 | dNdxP *= (1-exp(-be4/betaBohr4)); |
---|
| 1129 | |
---|
| 1130 | if( fDensity >= 0.1 ) |
---|
| 1131 | { |
---|
| 1132 | modul2 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
| 1133 | fImPartDielectricConst[i]*fImPartDielectricConst[i]; |
---|
| 1134 | dNdxP /= modul2; |
---|
| 1135 | } |
---|
| 1136 | return dNdxP; |
---|
| 1137 | |
---|
| 1138 | } // end of PAIdNdxResonance |
---|
| 1139 | |
---|
[819] | 1140 | //////////////////////////////////////////////////////////////////////// |
---|
| 1141 | // |
---|
| 1142 | // Calculation of the PAI integral cross-section |
---|
| 1143 | // fIntegralPAIxSection[1] = specific primary ionisation, 1/cm |
---|
| 1144 | // and fIntegralPAIxSection[0] = mean energy loss per cm in keV/cm |
---|
| 1145 | |
---|
| 1146 | void G4PAIxSection::IntegralPAIxSection() |
---|
| 1147 | { |
---|
[961] | 1148 | fIntegralPAIxSection[fSplineNumber] = 0; |
---|
| 1149 | fIntegralPAIdEdx[fSplineNumber] = 0; |
---|
| 1150 | fIntegralPAIxSection[0] = 0; |
---|
| 1151 | G4int k = fIntervalNumber -1; |
---|
[819] | 1152 | |
---|
[961] | 1153 | for(G4int i = fSplineNumber-1; i >= 1; i--) |
---|
[819] | 1154 | { |
---|
| 1155 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
| 1156 | { |
---|
[961] | 1157 | fIntegralPAIxSection[i] = fIntegralPAIxSection[i+1] + SumOverInterval(i); |
---|
| 1158 | fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] + SumOverIntervaldEdx(i); |
---|
[819] | 1159 | } |
---|
| 1160 | else |
---|
| 1161 | { |
---|
| 1162 | fIntegralPAIxSection[i] = fIntegralPAIxSection[i+1] + |
---|
[961] | 1163 | SumOverBorder(i+1,fEnergyInterval[k]); |
---|
[819] | 1164 | fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] + |
---|
[961] | 1165 | SumOverBorderdEdx(i+1,fEnergyInterval[k]); |
---|
| 1166 | k--; |
---|
[819] | 1167 | } |
---|
| 1168 | } |
---|
| 1169 | } // end of IntegralPAIxSection |
---|
| 1170 | |
---|
| 1171 | //////////////////////////////////////////////////////////////////////// |
---|
| 1172 | // |
---|
| 1173 | // Calculation of the PAI Cerenkov integral cross-section |
---|
| 1174 | // fIntegralCrenkov[1] = specific Crenkov ionisation, 1/cm |
---|
| 1175 | // and fIntegralCerenkov[0] = mean Cerenkov loss per cm in keV/cm |
---|
| 1176 | |
---|
| 1177 | void G4PAIxSection::IntegralCerenkov() |
---|
| 1178 | { |
---|
[961] | 1179 | G4int i, k; |
---|
| 1180 | fIntegralCerenkov[fSplineNumber] = 0; |
---|
| 1181 | fIntegralCerenkov[0] = 0; |
---|
| 1182 | k = fIntervalNumber -1; |
---|
[819] | 1183 | |
---|
[961] | 1184 | for( i = fSplineNumber-1; i >= 1; i-- ) |
---|
[819] | 1185 | { |
---|
| 1186 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
| 1187 | { |
---|
[961] | 1188 | fIntegralCerenkov[i] = fIntegralCerenkov[i+1] + SumOverInterCerenkov(i); |
---|
[819] | 1189 | // G4cout<<"int: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl; |
---|
| 1190 | } |
---|
| 1191 | else |
---|
| 1192 | { |
---|
| 1193 | fIntegralCerenkov[i] = fIntegralCerenkov[i+1] + |
---|
[961] | 1194 | SumOverBordCerenkov(i+1,fEnergyInterval[k]); |
---|
| 1195 | k--; |
---|
[819] | 1196 | // G4cout<<"bord: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl; |
---|
| 1197 | } |
---|
| 1198 | } |
---|
| 1199 | |
---|
| 1200 | } // end of IntegralCerenkov |
---|
| 1201 | |
---|
| 1202 | //////////////////////////////////////////////////////////////////////// |
---|
| 1203 | // |
---|
[961] | 1204 | // Calculation of the PAI MM-Cerenkov integral cross-section |
---|
| 1205 | // fIntegralMM[1] = specific MM-Cerenkov ionisation, 1/cm |
---|
| 1206 | // and fIntegralMM[0] = mean MM-Cerenkov loss per cm in keV/cm |
---|
| 1207 | |
---|
| 1208 | void G4PAIxSection::IntegralMM() |
---|
| 1209 | { |
---|
| 1210 | G4int i, k; |
---|
| 1211 | fIntegralMM[fSplineNumber] = 0; |
---|
| 1212 | fIntegralMM[0] = 0; |
---|
| 1213 | k = fIntervalNumber -1; |
---|
| 1214 | |
---|
| 1215 | for( i = fSplineNumber-1; i >= 1; i-- ) |
---|
| 1216 | { |
---|
| 1217 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
| 1218 | { |
---|
| 1219 | fIntegralMM[i] = fIntegralMM[i+1] + SumOverInterMM(i); |
---|
| 1220 | // G4cout<<"int: i = "<<i<<"; sumC = "<<fIntegralMM[i]<<G4endl; |
---|
| 1221 | } |
---|
| 1222 | else |
---|
| 1223 | { |
---|
| 1224 | fIntegralMM[i] = fIntegralMM[i+1] + |
---|
| 1225 | SumOverBordMM(i+1,fEnergyInterval[k]); |
---|
| 1226 | k--; |
---|
| 1227 | // G4cout<<"bord: i = "<<i<<"; sumC = "<<fIntegralMM[i]<<G4endl; |
---|
| 1228 | } |
---|
| 1229 | } |
---|
| 1230 | |
---|
| 1231 | } // end of IntegralMM |
---|
| 1232 | |
---|
| 1233 | //////////////////////////////////////////////////////////////////////// |
---|
| 1234 | // |
---|
[819] | 1235 | // Calculation of the PAI Plasmon integral cross-section |
---|
| 1236 | // fIntegralPlasmon[1] = splasmon primary ionisation, 1/cm |
---|
| 1237 | // and fIntegralPlasmon[0] = mean plasmon loss per cm in keV/cm |
---|
| 1238 | |
---|
| 1239 | void G4PAIxSection::IntegralPlasmon() |
---|
| 1240 | { |
---|
[961] | 1241 | fIntegralPlasmon[fSplineNumber] = 0; |
---|
| 1242 | fIntegralPlasmon[0] = 0; |
---|
| 1243 | G4int k = fIntervalNumber -1; |
---|
[819] | 1244 | for(G4int i=fSplineNumber-1;i>=1;i--) |
---|
| 1245 | { |
---|
| 1246 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
| 1247 | { |
---|
[961] | 1248 | fIntegralPlasmon[i] = fIntegralPlasmon[i+1] + SumOverInterPlasmon(i); |
---|
[819] | 1249 | } |
---|
| 1250 | else |
---|
| 1251 | { |
---|
| 1252 | fIntegralPlasmon[i] = fIntegralPlasmon[i+1] + |
---|
[961] | 1253 | SumOverBordPlasmon(i+1,fEnergyInterval[k]); |
---|
| 1254 | k--; |
---|
[819] | 1255 | } |
---|
| 1256 | } |
---|
| 1257 | |
---|
| 1258 | } // end of IntegralPlasmon |
---|
| 1259 | |
---|
[961] | 1260 | //////////////////////////////////////////////////////////////////////// |
---|
| 1261 | // |
---|
| 1262 | // Calculation of the PAI resonance integral cross-section |
---|
| 1263 | // fIntegralResonance[1] = resonance primary ionisation, 1/cm |
---|
| 1264 | // and fIntegralResonance[0] = mean resonance loss per cm in keV/cm |
---|
| 1265 | |
---|
| 1266 | void G4PAIxSection::IntegralResonance() |
---|
| 1267 | { |
---|
| 1268 | fIntegralResonance[fSplineNumber] = 0; |
---|
| 1269 | fIntegralResonance[0] = 0; |
---|
| 1270 | G4int k = fIntervalNumber -1; |
---|
| 1271 | for(G4int i=fSplineNumber-1;i>=1;i--) |
---|
| 1272 | { |
---|
| 1273 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
| 1274 | { |
---|
| 1275 | fIntegralResonance[i] = fIntegralResonance[i+1] + SumOverInterResonance(i); |
---|
| 1276 | } |
---|
| 1277 | else |
---|
| 1278 | { |
---|
| 1279 | fIntegralResonance[i] = fIntegralResonance[i+1] + |
---|
| 1280 | SumOverBordResonance(i+1,fEnergyInterval[k]); |
---|
| 1281 | k--; |
---|
| 1282 | } |
---|
| 1283 | } |
---|
| 1284 | |
---|
| 1285 | } // end of IntegralResonance |
---|
| 1286 | |
---|
[819] | 1287 | ////////////////////////////////////////////////////////////////////// |
---|
| 1288 | // |
---|
| 1289 | // Calculation the PAI integral cross-section inside |
---|
| 1290 | // of interval of continuous values of photo-ionisation |
---|
| 1291 | // cross-section. Parameter 'i' is the number of interval. |
---|
| 1292 | |
---|
| 1293 | G4double G4PAIxSection::SumOverInterval( G4int i ) |
---|
| 1294 | { |
---|
[961] | 1295 | G4double x0,x1,y0,yy1,a,b,c,result; |
---|
[819] | 1296 | |
---|
[961] | 1297 | x0 = fSplineEnergy[i]; |
---|
| 1298 | x1 = fSplineEnergy[i+1]; |
---|
| 1299 | y0 = fDifPAIxSection[i]; |
---|
[819] | 1300 | yy1 = fDifPAIxSection[i+1]; |
---|
| 1301 | c = x1/x0; |
---|
[961] | 1302 | a = log10(yy1/y0)/log10(c); |
---|
| 1303 | // b = log10(y0) - a*log10(x0); |
---|
| 1304 | b = y0/pow(x0,a); |
---|
| 1305 | a += 1; |
---|
[819] | 1306 | if(a == 0) |
---|
| 1307 | { |
---|
[961] | 1308 | result = b*log(x1/x0); |
---|
[819] | 1309 | } |
---|
| 1310 | else |
---|
| 1311 | { |
---|
[961] | 1312 | result = y0*(x1*pow(c,a-1) - x0)/a; |
---|
[819] | 1313 | } |
---|
| 1314 | a++; |
---|
| 1315 | if(a == 0) |
---|
| 1316 | { |
---|
[961] | 1317 | fIntegralPAIxSection[0] += b*log(x1/x0); |
---|
[819] | 1318 | } |
---|
| 1319 | else |
---|
| 1320 | { |
---|
[961] | 1321 | fIntegralPAIxSection[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a; |
---|
[819] | 1322 | } |
---|
[961] | 1323 | return result; |
---|
[819] | 1324 | |
---|
| 1325 | } // end of SumOverInterval |
---|
| 1326 | |
---|
| 1327 | ///////////////////////////////// |
---|
| 1328 | |
---|
| 1329 | G4double G4PAIxSection::SumOverIntervaldEdx( G4int i ) |
---|
| 1330 | { |
---|
[961] | 1331 | G4double x0,x1,y0,yy1,a,b,c,result; |
---|
[819] | 1332 | |
---|
[961] | 1333 | x0 = fSplineEnergy[i]; |
---|
| 1334 | x1 = fSplineEnergy[i+1]; |
---|
| 1335 | y0 = fDifPAIxSection[i]; |
---|
[819] | 1336 | yy1 = fDifPAIxSection[i+1]; |
---|
| 1337 | c = x1/x0; |
---|
[961] | 1338 | a = log10(yy1/y0)/log10(c); |
---|
| 1339 | // b = log10(y0) - a*log10(x0); |
---|
| 1340 | b = y0/pow(x0,a); |
---|
| 1341 | a += 2; |
---|
[819] | 1342 | if(a == 0) |
---|
| 1343 | { |
---|
[961] | 1344 | result = b*log(x1/x0); |
---|
[819] | 1345 | } |
---|
| 1346 | else |
---|
| 1347 | { |
---|
[961] | 1348 | result = y0*(x1*x1*pow(c,a-2) - x0*x0)/a; |
---|
[819] | 1349 | } |
---|
[961] | 1350 | return result; |
---|
[819] | 1351 | |
---|
| 1352 | } // end of SumOverInterval |
---|
| 1353 | |
---|
| 1354 | ////////////////////////////////////////////////////////////////////// |
---|
| 1355 | // |
---|
| 1356 | // Calculation the PAI Cerenkov integral cross-section inside |
---|
| 1357 | // of interval of continuous values of photo-ionisation Cerenkov |
---|
| 1358 | // cross-section. Parameter 'i' is the number of interval. |
---|
| 1359 | |
---|
| 1360 | G4double G4PAIxSection::SumOverInterCerenkov( G4int i ) |
---|
| 1361 | { |
---|
[961] | 1362 | G4double x0,x1,y0,yy1,a,b,c,result; |
---|
[819] | 1363 | |
---|
[961] | 1364 | x0 = fSplineEnergy[i]; |
---|
| 1365 | x1 = fSplineEnergy[i+1]; |
---|
| 1366 | y0 = fdNdxCerenkov[i]; |
---|
[819] | 1367 | yy1 = fdNdxCerenkov[i+1]; |
---|
| 1368 | // G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"; x1 = "<<x1 |
---|
| 1369 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
| 1370 | |
---|
| 1371 | c = x1/x0; |
---|
[961] | 1372 | a = log10(yy1/y0)/log10(c); |
---|
| 1373 | b = y0/pow(x0,a); |
---|
[819] | 1374 | |
---|
[961] | 1375 | a += 1.0; |
---|
| 1376 | if(a == 0) result = b*log(c); |
---|
| 1377 | else result = y0*(x1*pow(c,a-1) - x0)/a; |
---|
| 1378 | a += 1.0; |
---|
[819] | 1379 | |
---|
[961] | 1380 | if( a == 0 ) fIntegralCerenkov[0] += b*log(x1/x0); |
---|
| 1381 | else fIntegralCerenkov[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a; |
---|
[819] | 1382 | // G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl; |
---|
[961] | 1383 | return result; |
---|
[819] | 1384 | |
---|
| 1385 | } // end of SumOverInterCerenkov |
---|
| 1386 | |
---|
| 1387 | ////////////////////////////////////////////////////////////////////// |
---|
| 1388 | // |
---|
[961] | 1389 | // Calculation the PAI MM-Cerenkov integral cross-section inside |
---|
| 1390 | // of interval of continuous values of photo-ionisation Cerenkov |
---|
| 1391 | // cross-section. Parameter 'i' is the number of interval. |
---|
| 1392 | |
---|
| 1393 | G4double G4PAIxSection::SumOverInterMM( G4int i ) |
---|
| 1394 | { |
---|
| 1395 | G4double x0,x1,y0,yy1,a,b,c,result; |
---|
| 1396 | |
---|
| 1397 | x0 = fSplineEnergy[i]; |
---|
| 1398 | x1 = fSplineEnergy[i+1]; |
---|
| 1399 | y0 = fdNdxMM[i]; |
---|
| 1400 | yy1 = fdNdxMM[i+1]; |
---|
| 1401 | // G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"; x1 = "<<x1 |
---|
| 1402 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
| 1403 | |
---|
| 1404 | c = x1/x0; |
---|
| 1405 | a = log10(yy1/y0)/log10(c); |
---|
| 1406 | b = y0/pow(x0,a); |
---|
| 1407 | |
---|
| 1408 | a += 1.0; |
---|
| 1409 | if(a == 0) result = b*log(c); |
---|
| 1410 | else result = y0*(x1*pow(c,a-1) - x0)/a; |
---|
| 1411 | a += 1.0; |
---|
| 1412 | |
---|
| 1413 | if( a == 0 ) fIntegralMM[0] += b*log(x1/x0); |
---|
| 1414 | else fIntegralMM[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a; |
---|
| 1415 | // G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl; |
---|
| 1416 | return result; |
---|
| 1417 | |
---|
| 1418 | } // end of SumOverInterMM |
---|
| 1419 | |
---|
| 1420 | ////////////////////////////////////////////////////////////////////// |
---|
| 1421 | // |
---|
[819] | 1422 | // Calculation the PAI Plasmon integral cross-section inside |
---|
| 1423 | // of interval of continuous values of photo-ionisation Plasmon |
---|
| 1424 | // cross-section. Parameter 'i' is the number of interval. |
---|
| 1425 | |
---|
| 1426 | G4double G4PAIxSection::SumOverInterPlasmon( G4int i ) |
---|
| 1427 | { |
---|
[961] | 1428 | G4double x0,x1,y0,yy1,a,b,c,result; |
---|
[819] | 1429 | |
---|
[961] | 1430 | x0 = fSplineEnergy[i]; |
---|
| 1431 | x1 = fSplineEnergy[i+1]; |
---|
| 1432 | y0 = fdNdxPlasmon[i]; |
---|
[819] | 1433 | yy1 = fdNdxPlasmon[i+1]; |
---|
| 1434 | c =x1/x0; |
---|
[961] | 1435 | a = log10(yy1/y0)/log10(c); |
---|
| 1436 | // b = log10(y0) - a*log10(x0); |
---|
| 1437 | b = y0/pow(x0,a); |
---|
[819] | 1438 | |
---|
[961] | 1439 | a += 1.0; |
---|
| 1440 | if(a == 0) result = b*log(x1/x0); |
---|
| 1441 | else result = y0*(x1*pow(c,a-1) - x0)/a; |
---|
| 1442 | a += 1.0; |
---|
[819] | 1443 | |
---|
[961] | 1444 | if( a == 0 ) fIntegralPlasmon[0] += b*log(x1/x0); |
---|
| 1445 | else fIntegralPlasmon[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a; |
---|
[819] | 1446 | |
---|
[961] | 1447 | return result; |
---|
[819] | 1448 | |
---|
| 1449 | } // end of SumOverInterPlasmon |
---|
| 1450 | |
---|
[961] | 1451 | ////////////////////////////////////////////////////////////////////// |
---|
| 1452 | // |
---|
| 1453 | // Calculation the PAI resonance integral cross-section inside |
---|
| 1454 | // of interval of continuous values of photo-ionisation resonance |
---|
| 1455 | // cross-section. Parameter 'i' is the number of interval. |
---|
| 1456 | |
---|
| 1457 | G4double G4PAIxSection::SumOverInterResonance( G4int i ) |
---|
| 1458 | { |
---|
| 1459 | G4double x0,x1,y0,yy1,a,b,c,result; |
---|
| 1460 | |
---|
| 1461 | x0 = fSplineEnergy[i]; |
---|
| 1462 | x1 = fSplineEnergy[i+1]; |
---|
| 1463 | y0 = fdNdxResonance[i]; |
---|
| 1464 | yy1 = fdNdxResonance[i+1]; |
---|
| 1465 | c =x1/x0; |
---|
| 1466 | a = log10(yy1/y0)/log10(c); |
---|
| 1467 | // b = log10(y0) - a*log10(x0); |
---|
| 1468 | b = y0/pow(x0,a); |
---|
| 1469 | |
---|
| 1470 | a += 1.0; |
---|
| 1471 | if(a == 0) result = b*log(x1/x0); |
---|
| 1472 | else result = y0*(x1*pow(c,a-1) - x0)/a; |
---|
| 1473 | a += 1.0; |
---|
| 1474 | |
---|
| 1475 | if( a == 0 ) fIntegralResonance[0] += b*log(x1/x0); |
---|
| 1476 | else fIntegralResonance[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a; |
---|
| 1477 | |
---|
| 1478 | return result; |
---|
| 1479 | |
---|
| 1480 | } // end of SumOverInterResonance |
---|
| 1481 | |
---|
[819] | 1482 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1483 | // |
---|
| 1484 | // Integration of PAI cross-section for the case of |
---|
| 1485 | // passing across border between intervals |
---|
| 1486 | |
---|
| 1487 | G4double G4PAIxSection::SumOverBorder( G4int i , |
---|
| 1488 | G4double en0 ) |
---|
| 1489 | { |
---|
[961] | 1490 | G4double x0,x1,y0,yy1,a,b,c,d,e0,result; |
---|
[819] | 1491 | |
---|
[961] | 1492 | e0 = en0; |
---|
| 1493 | x0 = fSplineEnergy[i]; |
---|
| 1494 | x1 = fSplineEnergy[i+1]; |
---|
| 1495 | y0 = fDifPAIxSection[i]; |
---|
| 1496 | yy1 = fDifPAIxSection[i+1]; |
---|
[819] | 1497 | |
---|
| 1498 | c = x1/x0; |
---|
| 1499 | d = e0/x0; |
---|
[961] | 1500 | a = log10(yy1/y0)/log10(x1/x0); |
---|
| 1501 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1502 | b = y0/pow(x0,a); // pow(10.,b); |
---|
[819] | 1503 | |
---|
[961] | 1504 | a += 1; |
---|
[819] | 1505 | if(a == 0) |
---|
| 1506 | { |
---|
[961] | 1507 | result = b*log(x0/e0); |
---|
[819] | 1508 | } |
---|
| 1509 | else |
---|
| 1510 | { |
---|
[961] | 1511 | result = y0*(x0 - e0*pow(d,a-1))/a; |
---|
[819] | 1512 | } |
---|
[961] | 1513 | a++; |
---|
[819] | 1514 | if(a == 0) |
---|
| 1515 | { |
---|
[961] | 1516 | fIntegralPAIxSection[0] += b*log(x0/e0); |
---|
[819] | 1517 | } |
---|
| 1518 | else |
---|
| 1519 | { |
---|
[961] | 1520 | fIntegralPAIxSection[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a; |
---|
[819] | 1521 | } |
---|
[961] | 1522 | x0 = fSplineEnergy[i - 1]; |
---|
| 1523 | x1 = fSplineEnergy[i - 2]; |
---|
| 1524 | y0 = fDifPAIxSection[i - 1]; |
---|
| 1525 | yy1 = fDifPAIxSection[i - 2]; |
---|
[819] | 1526 | |
---|
| 1527 | c = x1/x0; |
---|
| 1528 | d = e0/x0; |
---|
[961] | 1529 | a = log10(yy1/y0)/log10(x1/x0); |
---|
| 1530 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1531 | b = y0/pow(x0,a); |
---|
| 1532 | a += 1; |
---|
[819] | 1533 | if(a == 0) |
---|
| 1534 | { |
---|
[961] | 1535 | result += b*log(e0/x0); |
---|
[819] | 1536 | } |
---|
| 1537 | else |
---|
| 1538 | { |
---|
[961] | 1539 | result += y0*(e0*pow(d,a-1) - x0)/a; |
---|
[819] | 1540 | } |
---|
[961] | 1541 | a++; |
---|
[819] | 1542 | if(a == 0) |
---|
| 1543 | { |
---|
[961] | 1544 | fIntegralPAIxSection[0] += b*log(e0/x0); |
---|
[819] | 1545 | } |
---|
| 1546 | else |
---|
| 1547 | { |
---|
[961] | 1548 | fIntegralPAIxSection[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a; |
---|
[819] | 1549 | } |
---|
[961] | 1550 | return result; |
---|
[819] | 1551 | |
---|
| 1552 | } |
---|
| 1553 | |
---|
| 1554 | /////////////////////////////////////////////////////////////////////// |
---|
| 1555 | |
---|
| 1556 | G4double G4PAIxSection::SumOverBorderdEdx( G4int i , |
---|
| 1557 | G4double en0 ) |
---|
| 1558 | { |
---|
[961] | 1559 | G4double x0,x1,y0,yy1,a,b,c,d,e0,result; |
---|
[819] | 1560 | |
---|
[961] | 1561 | e0 = en0; |
---|
| 1562 | x0 = fSplineEnergy[i]; |
---|
| 1563 | x1 = fSplineEnergy[i+1]; |
---|
| 1564 | y0 = fDifPAIxSection[i]; |
---|
| 1565 | yy1 = fDifPAIxSection[i+1]; |
---|
[819] | 1566 | |
---|
| 1567 | c = x1/x0; |
---|
| 1568 | d = e0/x0; |
---|
[961] | 1569 | a = log10(yy1/y0)/log10(x1/x0); |
---|
| 1570 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1571 | b = y0/pow(x0,a); // pow(10.,b); |
---|
[819] | 1572 | |
---|
[961] | 1573 | a += 2; |
---|
[819] | 1574 | if(a == 0) |
---|
| 1575 | { |
---|
[961] | 1576 | result = b*log(x0/e0); |
---|
[819] | 1577 | } |
---|
| 1578 | else |
---|
| 1579 | { |
---|
[961] | 1580 | result = y0*(x0*x0 - e0*e0*pow(d,a-2))/a; |
---|
[819] | 1581 | } |
---|
[961] | 1582 | x0 = fSplineEnergy[i - 1]; |
---|
| 1583 | x1 = fSplineEnergy[i - 2]; |
---|
| 1584 | y0 = fDifPAIxSection[i - 1]; |
---|
| 1585 | yy1 = fDifPAIxSection[i - 2]; |
---|
[819] | 1586 | |
---|
| 1587 | c = x1/x0; |
---|
| 1588 | d = e0/x0; |
---|
[961] | 1589 | a = log10(yy1/y0)/log10(x1/x0); |
---|
| 1590 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1591 | b = y0/pow(x0,a); |
---|
| 1592 | a += 2; |
---|
[819] | 1593 | if(a == 0) |
---|
| 1594 | { |
---|
[961] | 1595 | result += b*log(e0/x0); |
---|
[819] | 1596 | } |
---|
| 1597 | else |
---|
| 1598 | { |
---|
[961] | 1599 | result += y0*(e0*e0*pow(d,a-2) - x0*x0)/a; |
---|
[819] | 1600 | } |
---|
[961] | 1601 | return result; |
---|
[819] | 1602 | |
---|
| 1603 | } |
---|
| 1604 | |
---|
| 1605 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1606 | // |
---|
| 1607 | // Integration of Cerenkov cross-section for the case of |
---|
| 1608 | // passing across border between intervals |
---|
| 1609 | |
---|
| 1610 | G4double G4PAIxSection::SumOverBordCerenkov( G4int i , |
---|
| 1611 | G4double en0 ) |
---|
| 1612 | { |
---|
[961] | 1613 | G4double x0,x1,y0,yy1,a,b,e0,c,d,result; |
---|
[819] | 1614 | |
---|
[961] | 1615 | e0 = en0; |
---|
| 1616 | x0 = fSplineEnergy[i]; |
---|
| 1617 | x1 = fSplineEnergy[i+1]; |
---|
| 1618 | y0 = fdNdxCerenkov[i]; |
---|
| 1619 | yy1 = fdNdxCerenkov[i+1]; |
---|
[819] | 1620 | |
---|
| 1621 | // G4cout<<G4endl; |
---|
| 1622 | // G4cout<<"SumBordC, i = "<<i<<"; en0 = "<<en0<<"; x0 ="<<x0<<"; x1 = "<<x1 |
---|
| 1623 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
[961] | 1624 | c = x1/x0; |
---|
| 1625 | d = e0/x0; |
---|
| 1626 | a = log10(yy1/y0)/log10(c); |
---|
| 1627 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1628 | b = y0/pow(x0,a); // pow(10.,b0); |
---|
[819] | 1629 | |
---|
[961] | 1630 | a += 1.0; |
---|
| 1631 | if( a == 0 ) result = b*log(x0/e0); |
---|
| 1632 | else result = y0*(x0 - e0*pow(d,a-1))/a; |
---|
| 1633 | a += 1.0; |
---|
[819] | 1634 | |
---|
[961] | 1635 | if( a == 0 ) fIntegralCerenkov[0] += b*log(x0/e0); |
---|
| 1636 | else fIntegralCerenkov[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a; |
---|
[819] | 1637 | |
---|
| 1638 | // G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = "<<b<<"; result = "<<result<<G4endl; |
---|
| 1639 | |
---|
[961] | 1640 | x0 = fSplineEnergy[i - 1]; |
---|
| 1641 | x1 = fSplineEnergy[i - 2]; |
---|
| 1642 | y0 = fdNdxCerenkov[i - 1]; |
---|
| 1643 | yy1 = fdNdxCerenkov[i - 2]; |
---|
[819] | 1644 | |
---|
| 1645 | // G4cout<<"x0 ="<<x0<<"; x1 = "<<x1 |
---|
| 1646 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
| 1647 | |
---|
[961] | 1648 | c = x1/x0; |
---|
| 1649 | d = e0/x0; |
---|
| 1650 | a = log10(yy1/y0)/log10(x1/x0); |
---|
| 1651 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1652 | b = y0/pow(x0,a); // pow(10.,b0); |
---|
[819] | 1653 | |
---|
[961] | 1654 | a += 1.0; |
---|
| 1655 | if( a == 0 ) result += b*log(e0/x0); |
---|
| 1656 | else result += y0*(e0*pow(d,a-1) - x0 )/a; |
---|
| 1657 | a += 1.0; |
---|
[819] | 1658 | |
---|
[961] | 1659 | if( a == 0 ) fIntegralCerenkov[0] += b*log(e0/x0); |
---|
| 1660 | else fIntegralCerenkov[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a; |
---|
[819] | 1661 | |
---|
| 1662 | // G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = " |
---|
| 1663 | // <<b<<"; result = "<<result<<G4endl; |
---|
| 1664 | |
---|
[961] | 1665 | return result; |
---|
[819] | 1666 | |
---|
| 1667 | } |
---|
| 1668 | |
---|
| 1669 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1670 | // |
---|
[961] | 1671 | // Integration of MM-Cerenkov cross-section for the case of |
---|
| 1672 | // passing across border between intervals |
---|
| 1673 | |
---|
| 1674 | G4double G4PAIxSection::SumOverBordMM( G4int i , |
---|
| 1675 | G4double en0 ) |
---|
| 1676 | { |
---|
| 1677 | G4double x0,x1,y0,yy1,a,b,e0,c,d,result; |
---|
| 1678 | |
---|
| 1679 | e0 = en0; |
---|
| 1680 | x0 = fSplineEnergy[i]; |
---|
| 1681 | x1 = fSplineEnergy[i+1]; |
---|
| 1682 | y0 = fdNdxMM[i]; |
---|
| 1683 | yy1 = fdNdxMM[i+1]; |
---|
| 1684 | |
---|
| 1685 | // G4cout<<G4endl; |
---|
| 1686 | // G4cout<<"SumBordC, i = "<<i<<"; en0 = "<<en0<<"; x0 ="<<x0<<"; x1 = "<<x1 |
---|
| 1687 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
| 1688 | c = x1/x0; |
---|
| 1689 | d = e0/x0; |
---|
| 1690 | a = log10(yy1/y0)/log10(c); |
---|
| 1691 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1692 | b = y0/pow(x0,a); // pow(10.,b0); |
---|
| 1693 | |
---|
| 1694 | a += 1.0; |
---|
| 1695 | if( a == 0 ) result = b*log(x0/e0); |
---|
| 1696 | else result = y0*(x0 - e0*pow(d,a-1))/a; |
---|
| 1697 | a += 1.0; |
---|
| 1698 | |
---|
| 1699 | if( a == 0 ) fIntegralMM[0] += b*log(x0/e0); |
---|
| 1700 | else fIntegralMM[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a; |
---|
| 1701 | |
---|
| 1702 | // G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = "<<b<<"; result = "<<result<<G4endl; |
---|
| 1703 | |
---|
| 1704 | x0 = fSplineEnergy[i - 1]; |
---|
| 1705 | x1 = fSplineEnergy[i - 2]; |
---|
| 1706 | y0 = fdNdxMM[i - 1]; |
---|
| 1707 | yy1 = fdNdxMM[i - 2]; |
---|
| 1708 | |
---|
| 1709 | // G4cout<<"x0 ="<<x0<<"; x1 = "<<x1 |
---|
| 1710 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
| 1711 | |
---|
| 1712 | c = x1/x0; |
---|
| 1713 | d = e0/x0; |
---|
| 1714 | a = log10(yy1/y0)/log10(x1/x0); |
---|
| 1715 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1716 | b = y0/pow(x0,a); // pow(10.,b0); |
---|
| 1717 | |
---|
| 1718 | a += 1.0; |
---|
| 1719 | if( a == 0 ) result += b*log(e0/x0); |
---|
| 1720 | else result += y0*(e0*pow(d,a-1) - x0 )/a; |
---|
| 1721 | a += 1.0; |
---|
| 1722 | |
---|
| 1723 | if( a == 0 ) fIntegralMM[0] += b*log(e0/x0); |
---|
| 1724 | else fIntegralMM[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a; |
---|
| 1725 | |
---|
| 1726 | // G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = " |
---|
| 1727 | // <<b<<"; result = "<<result<<G4endl; |
---|
| 1728 | |
---|
| 1729 | return result; |
---|
| 1730 | |
---|
| 1731 | } |
---|
| 1732 | |
---|
| 1733 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1734 | // |
---|
[819] | 1735 | // Integration of Plasmon cross-section for the case of |
---|
| 1736 | // passing across border between intervals |
---|
| 1737 | |
---|
| 1738 | G4double G4PAIxSection::SumOverBordPlasmon( G4int i , |
---|
| 1739 | G4double en0 ) |
---|
| 1740 | { |
---|
[961] | 1741 | G4double x0,x1,y0,yy1,a,b,c,d,e0,result; |
---|
[819] | 1742 | |
---|
[961] | 1743 | e0 = en0; |
---|
| 1744 | x0 = fSplineEnergy[i]; |
---|
| 1745 | x1 = fSplineEnergy[i+1]; |
---|
| 1746 | y0 = fdNdxPlasmon[i]; |
---|
| 1747 | yy1 = fdNdxPlasmon[i+1]; |
---|
[819] | 1748 | |
---|
[961] | 1749 | c = x1/x0; |
---|
| 1750 | d = e0/x0; |
---|
| 1751 | a = log10(yy1/y0)/log10(c); |
---|
| 1752 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1753 | b = y0/pow(x0,a); //pow(10.,b); |
---|
[819] | 1754 | |
---|
[961] | 1755 | a += 1.0; |
---|
| 1756 | if( a == 0 ) result = b*log(x0/e0); |
---|
| 1757 | else result = y0*(x0 - e0*pow(d,a-1))/a; |
---|
| 1758 | a += 1.0; |
---|
[819] | 1759 | |
---|
[961] | 1760 | if( a == 0 ) fIntegralPlasmon[0] += b*log(x0/e0); |
---|
| 1761 | else fIntegralPlasmon[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a; |
---|
[819] | 1762 | |
---|
[961] | 1763 | x0 = fSplineEnergy[i - 1]; |
---|
| 1764 | x1 = fSplineEnergy[i - 2]; |
---|
| 1765 | y0 = fdNdxPlasmon[i - 1]; |
---|
| 1766 | yy1 = fdNdxPlasmon[i - 2]; |
---|
[819] | 1767 | |
---|
[961] | 1768 | c = x1/x0; |
---|
| 1769 | d = e0/x0; |
---|
| 1770 | a = log10(yy1/y0)/log10(c); |
---|
| 1771 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1772 | b = y0/pow(x0,a);// pow(10.,b0); |
---|
[819] | 1773 | |
---|
[961] | 1774 | a += 1.0; |
---|
| 1775 | if( a == 0 ) result += b*log(e0/x0); |
---|
| 1776 | else result += y0*(e0*pow(d,a-1) - x0)/a; |
---|
| 1777 | a += 1.0; |
---|
[819] | 1778 | |
---|
[961] | 1779 | if( a == 0 ) fIntegralPlasmon[0] += b*log(e0/x0); |
---|
| 1780 | else fIntegralPlasmon[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a; |
---|
[819] | 1781 | |
---|
[961] | 1782 | return result; |
---|
[819] | 1783 | |
---|
| 1784 | } |
---|
| 1785 | |
---|
[961] | 1786 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1787 | // |
---|
| 1788 | // Integration of resonance cross-section for the case of |
---|
| 1789 | // passing across border between intervals |
---|
| 1790 | |
---|
| 1791 | G4double G4PAIxSection::SumOverBordResonance( G4int i , |
---|
| 1792 | G4double en0 ) |
---|
| 1793 | { |
---|
| 1794 | G4double x0,x1,y0,yy1,a,b,c,d,e0,result; |
---|
| 1795 | |
---|
| 1796 | e0 = en0; |
---|
| 1797 | x0 = fSplineEnergy[i]; |
---|
| 1798 | x1 = fSplineEnergy[i+1]; |
---|
| 1799 | y0 = fdNdxResonance[i]; |
---|
| 1800 | yy1 = fdNdxResonance[i+1]; |
---|
| 1801 | |
---|
| 1802 | c = x1/x0; |
---|
| 1803 | d = e0/x0; |
---|
| 1804 | a = log10(yy1/y0)/log10(c); |
---|
| 1805 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1806 | b = y0/pow(x0,a); //pow(10.,b); |
---|
| 1807 | |
---|
| 1808 | a += 1.0; |
---|
| 1809 | if( a == 0 ) result = b*log(x0/e0); |
---|
| 1810 | else result = y0*(x0 - e0*pow(d,a-1))/a; |
---|
| 1811 | a += 1.0; |
---|
| 1812 | |
---|
| 1813 | if( a == 0 ) fIntegralResonance[0] += b*log(x0/e0); |
---|
| 1814 | else fIntegralResonance[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a; |
---|
| 1815 | |
---|
| 1816 | x0 = fSplineEnergy[i - 1]; |
---|
| 1817 | x1 = fSplineEnergy[i - 2]; |
---|
| 1818 | y0 = fdNdxResonance[i - 1]; |
---|
| 1819 | yy1 = fdNdxResonance[i - 2]; |
---|
| 1820 | |
---|
| 1821 | c = x1/x0; |
---|
| 1822 | d = e0/x0; |
---|
| 1823 | a = log10(yy1/y0)/log10(c); |
---|
| 1824 | // b0 = log10(y0) - a*log10(x0); |
---|
| 1825 | b = y0/pow(x0,a);// pow(10.,b0); |
---|
| 1826 | |
---|
| 1827 | a += 1.0; |
---|
| 1828 | if( a == 0 ) result += b*log(e0/x0); |
---|
| 1829 | else result += y0*(e0*pow(d,a-1) - x0)/a; |
---|
| 1830 | a += 1.0; |
---|
| 1831 | |
---|
| 1832 | if( a == 0 ) fIntegralResonance[0] += b*log(e0/x0); |
---|
| 1833 | else fIntegralResonance[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a; |
---|
| 1834 | |
---|
| 1835 | return result; |
---|
| 1836 | |
---|
| 1837 | } |
---|
| 1838 | |
---|
[819] | 1839 | ///////////////////////////////////////////////////////////////////////// |
---|
| 1840 | // |
---|
[961] | 1841 | // Returns random PAI-total energy loss over step |
---|
[819] | 1842 | |
---|
| 1843 | G4double G4PAIxSection::GetStepEnergyLoss( G4double step ) |
---|
| 1844 | { |
---|
[961] | 1845 | G4long numOfCollisions; |
---|
| 1846 | G4double meanNumber, loss = 0.0; |
---|
[819] | 1847 | |
---|
[961] | 1848 | // G4cout<<" G4PAIxSection::GetStepEnergyLoss "<<G4endl; |
---|
[819] | 1849 | |
---|
[961] | 1850 | meanNumber = fIntegralPAIxSection[1]*step; |
---|
| 1851 | numOfCollisions = G4Poisson(meanNumber); |
---|
[819] | 1852 | |
---|
[961] | 1853 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl; |
---|
[819] | 1854 | |
---|
[961] | 1855 | while(numOfCollisions) |
---|
| 1856 | { |
---|
| 1857 | loss += GetEnergyTransfer(); |
---|
| 1858 | numOfCollisions--; |
---|
| 1859 | } |
---|
| 1860 | // G4cout<<"PAI energy loss = "<<loss/keV<<" keV"<<G4endl; |
---|
[819] | 1861 | |
---|
[961] | 1862 | return loss; |
---|
| 1863 | } |
---|
[819] | 1864 | |
---|
[961] | 1865 | ///////////////////////////////////////////////////////////////////////// |
---|
| 1866 | // |
---|
| 1867 | // Returns random PAI-total energy transfer in one collision |
---|
| 1868 | |
---|
| 1869 | G4double G4PAIxSection::GetEnergyTransfer() |
---|
| 1870 | { |
---|
| 1871 | G4int iTransfer ; |
---|
| 1872 | |
---|
| 1873 | G4double energyTransfer, position; |
---|
| 1874 | |
---|
| 1875 | position = fIntegralPAIxSection[1]*G4UniformRand(); |
---|
| 1876 | |
---|
| 1877 | for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ ) |
---|
[819] | 1878 | { |
---|
[961] | 1879 | if( position >= fIntegralPAIxSection[iTransfer] ) break; |
---|
| 1880 | } |
---|
| 1881 | if(iTransfer > fSplineNumber) iTransfer--; |
---|
| 1882 | |
---|
| 1883 | energyTransfer = fSplineEnergy[iTransfer]; |
---|
[819] | 1884 | |
---|
[961] | 1885 | if(iTransfer > 1) |
---|
| 1886 | { |
---|
| 1887 | energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand(); |
---|
[819] | 1888 | } |
---|
[961] | 1889 | return energyTransfer; |
---|
[819] | 1890 | } |
---|
| 1891 | |
---|
| 1892 | ///////////////////////////////////////////////////////////////////////// |
---|
| 1893 | // |
---|
[961] | 1894 | // Returns random Cerenkov energy loss over step |
---|
[819] | 1895 | |
---|
| 1896 | G4double G4PAIxSection::GetStepCerenkovLoss( G4double step ) |
---|
| 1897 | { |
---|
[961] | 1898 | G4long numOfCollisions; |
---|
| 1899 | G4double meanNumber, loss = 0.0; |
---|
[819] | 1900 | |
---|
[961] | 1901 | // G4cout<<" G4PAIxSection::GetStepCerenkovLoss "<<G4endl; |
---|
[819] | 1902 | |
---|
[961] | 1903 | meanNumber = fIntegralCerenkov[1]*step; |
---|
| 1904 | numOfCollisions = G4Poisson(meanNumber); |
---|
[819] | 1905 | |
---|
[961] | 1906 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl; |
---|
[819] | 1907 | |
---|
[961] | 1908 | while(numOfCollisions) |
---|
| 1909 | { |
---|
| 1910 | loss += GetCerenkovEnergyTransfer(); |
---|
| 1911 | numOfCollisions--; |
---|
| 1912 | } |
---|
| 1913 | // G4cout<<"PAI Cerenkov loss = "<<loss/keV<<" keV"<<G4endl; |
---|
[819] | 1914 | |
---|
[961] | 1915 | return loss; |
---|
| 1916 | } |
---|
[819] | 1917 | |
---|
[961] | 1918 | ///////////////////////////////////////////////////////////////////////// |
---|
| 1919 | // |
---|
| 1920 | // Returns random MM-Cerenkov energy loss over step |
---|
| 1921 | |
---|
| 1922 | G4double G4PAIxSection::GetStepMMLoss( G4double step ) |
---|
| 1923 | { |
---|
| 1924 | G4long numOfCollisions; |
---|
| 1925 | G4double meanNumber, loss = 0.0; |
---|
| 1926 | |
---|
| 1927 | // G4cout<<" G4PAIxSection::GetStepMMLoss "<<G4endl; |
---|
| 1928 | |
---|
| 1929 | meanNumber = fIntegralMM[1]*step; |
---|
| 1930 | numOfCollisions = G4Poisson(meanNumber); |
---|
| 1931 | |
---|
| 1932 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl; |
---|
| 1933 | |
---|
[819] | 1934 | while(numOfCollisions) |
---|
| 1935 | { |
---|
[961] | 1936 | loss += GetMMEnergyTransfer(); |
---|
| 1937 | numOfCollisions--; |
---|
| 1938 | } |
---|
| 1939 | // G4cout<<"PAI MM-Cerenkov loss = "<<loss/keV<<" keV"<<G4endl; |
---|
[819] | 1940 | |
---|
[961] | 1941 | return loss; |
---|
| 1942 | } |
---|
| 1943 | |
---|
| 1944 | ///////////////////////////////////////////////////////////////////////// |
---|
| 1945 | // |
---|
| 1946 | // Returns Cerenkov energy transfer in one collision |
---|
| 1947 | |
---|
| 1948 | G4double G4PAIxSection::GetCerenkovEnergyTransfer() |
---|
| 1949 | { |
---|
| 1950 | G4int iTransfer ; |
---|
| 1951 | |
---|
| 1952 | G4double energyTransfer, position; |
---|
| 1953 | |
---|
| 1954 | position = fIntegralCerenkov[1]*G4UniformRand(); |
---|
| 1955 | |
---|
| 1956 | for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ ) |
---|
| 1957 | { |
---|
| 1958 | if( position >= fIntegralCerenkov[iTransfer] ) break; |
---|
[819] | 1959 | } |
---|
[961] | 1960 | if(iTransfer > fSplineNumber) iTransfer--; |
---|
| 1961 | |
---|
| 1962 | energyTransfer = fSplineEnergy[iTransfer]; |
---|
[819] | 1963 | |
---|
[961] | 1964 | if(iTransfer > 1) |
---|
| 1965 | { |
---|
| 1966 | energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand(); |
---|
| 1967 | } |
---|
| 1968 | return energyTransfer; |
---|
[819] | 1969 | } |
---|
| 1970 | |
---|
| 1971 | ///////////////////////////////////////////////////////////////////////// |
---|
| 1972 | // |
---|
[961] | 1973 | // Returns MM-Cerenkov energy transfer in one collision |
---|
| 1974 | |
---|
| 1975 | G4double G4PAIxSection::GetMMEnergyTransfer() |
---|
| 1976 | { |
---|
| 1977 | G4int iTransfer ; |
---|
| 1978 | |
---|
| 1979 | G4double energyTransfer, position; |
---|
| 1980 | |
---|
| 1981 | position = fIntegralMM[1]*G4UniformRand(); |
---|
| 1982 | |
---|
| 1983 | for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ ) |
---|
| 1984 | { |
---|
| 1985 | if( position >= fIntegralMM[iTransfer] ) break; |
---|
| 1986 | } |
---|
| 1987 | if(iTransfer > fSplineNumber) iTransfer--; |
---|
| 1988 | |
---|
| 1989 | energyTransfer = fSplineEnergy[iTransfer]; |
---|
| 1990 | |
---|
| 1991 | if(iTransfer > 1) |
---|
| 1992 | { |
---|
| 1993 | energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand(); |
---|
| 1994 | } |
---|
| 1995 | return energyTransfer; |
---|
| 1996 | } |
---|
| 1997 | |
---|
| 1998 | ///////////////////////////////////////////////////////////////////////// |
---|
[819] | 1999 | // |
---|
[961] | 2000 | // Returns random plasmon energy loss over step |
---|
[819] | 2001 | |
---|
| 2002 | G4double G4PAIxSection::GetStepPlasmonLoss( G4double step ) |
---|
| 2003 | { |
---|
[961] | 2004 | G4long numOfCollisions; |
---|
| 2005 | G4double meanNumber, loss = 0.0; |
---|
[819] | 2006 | |
---|
[961] | 2007 | // G4cout<<" G4PAIxSection::GetStepPlasmonLoss "<<G4endl; |
---|
[819] | 2008 | |
---|
[961] | 2009 | meanNumber = fIntegralPlasmon[1]*step; |
---|
| 2010 | numOfCollisions = G4Poisson(meanNumber); |
---|
[819] | 2011 | |
---|
[961] | 2012 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl; |
---|
[819] | 2013 | |
---|
[961] | 2014 | while(numOfCollisions) |
---|
| 2015 | { |
---|
| 2016 | loss += GetPlasmonEnergyTransfer(); |
---|
| 2017 | numOfCollisions--; |
---|
| 2018 | } |
---|
| 2019 | // G4cout<<"PAI Plasmon loss = "<<loss/keV<<" keV"<<G4endl; |
---|
[819] | 2020 | |
---|
[961] | 2021 | return loss; |
---|
| 2022 | } |
---|
[819] | 2023 | |
---|
[961] | 2024 | ///////////////////////////////////////////////////////////////////////// |
---|
| 2025 | // |
---|
| 2026 | // Returns plasmon energy transfer in one collision |
---|
| 2027 | |
---|
| 2028 | G4double G4PAIxSection::GetPlasmonEnergyTransfer() |
---|
| 2029 | { |
---|
| 2030 | G4int iTransfer ; |
---|
| 2031 | |
---|
| 2032 | G4double energyTransfer, position; |
---|
| 2033 | |
---|
| 2034 | position = fIntegralPlasmon[1]*G4UniformRand(); |
---|
| 2035 | |
---|
| 2036 | for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ ) |
---|
| 2037 | { |
---|
| 2038 | if( position >= fIntegralPlasmon[iTransfer] ) break; |
---|
| 2039 | } |
---|
| 2040 | if(iTransfer > fSplineNumber) iTransfer--; |
---|
| 2041 | |
---|
| 2042 | energyTransfer = fSplineEnergy[iTransfer]; |
---|
| 2043 | |
---|
| 2044 | if(iTransfer > 1) |
---|
| 2045 | { |
---|
| 2046 | energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand(); |
---|
| 2047 | } |
---|
| 2048 | return energyTransfer; |
---|
| 2049 | } |
---|
| 2050 | |
---|
| 2051 | ///////////////////////////////////////////////////////////////////////// |
---|
| 2052 | // |
---|
| 2053 | // Returns random resonance energy loss over step |
---|
| 2054 | |
---|
| 2055 | G4double G4PAIxSection::GetStepResonanceLoss( G4double step ) |
---|
| 2056 | { |
---|
| 2057 | G4long numOfCollisions; |
---|
| 2058 | G4double meanNumber, loss = 0.0; |
---|
| 2059 | |
---|
| 2060 | // G4cout<<" G4PAIxSection::GetStepCreLosnkovs "<<G4endl; |
---|
| 2061 | |
---|
| 2062 | meanNumber = fIntegralResonance[1]*step; |
---|
| 2063 | numOfCollisions = G4Poisson(meanNumber); |
---|
| 2064 | |
---|
| 2065 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl; |
---|
| 2066 | |
---|
[819] | 2067 | while(numOfCollisions) |
---|
| 2068 | { |
---|
[961] | 2069 | loss += GetResonanceEnergyTransfer(); |
---|
| 2070 | numOfCollisions--; |
---|
| 2071 | } |
---|
| 2072 | // G4cout<<"PAI resonance loss = "<<loss/keV<<" keV"<<G4endl; |
---|
[819] | 2073 | |
---|
[961] | 2074 | return loss; |
---|
| 2075 | } |
---|
| 2076 | |
---|
| 2077 | |
---|
| 2078 | ///////////////////////////////////////////////////////////////////////// |
---|
| 2079 | // |
---|
| 2080 | // Returns resonance energy transfer in one collision |
---|
| 2081 | |
---|
| 2082 | G4double G4PAIxSection::GetResonanceEnergyTransfer() |
---|
| 2083 | { |
---|
| 2084 | G4int iTransfer ; |
---|
| 2085 | |
---|
| 2086 | G4double energyTransfer, position; |
---|
| 2087 | |
---|
| 2088 | position = fIntegralResonance[1]*G4UniformRand(); |
---|
| 2089 | |
---|
| 2090 | for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ ) |
---|
| 2091 | { |
---|
| 2092 | if( position >= fIntegralResonance[iTransfer] ) break; |
---|
[819] | 2093 | } |
---|
[961] | 2094 | if(iTransfer > fSplineNumber) iTransfer--; |
---|
| 2095 | |
---|
| 2096 | energyTransfer = fSplineEnergy[iTransfer]; |
---|
[819] | 2097 | |
---|
[961] | 2098 | if(iTransfer > 1) |
---|
| 2099 | { |
---|
| 2100 | energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand(); |
---|
| 2101 | } |
---|
| 2102 | return energyTransfer; |
---|
[819] | 2103 | } |
---|
| 2104 | |
---|
| 2105 | |
---|
[961] | 2106 | ///////////////////////////////////////////////////////////////////////// |
---|
| 2107 | // |
---|
| 2108 | // Returns Rutherford energy transfer in one collision |
---|
[819] | 2109 | |
---|
[961] | 2110 | G4double G4PAIxSection::GetRutherfordEnergyTransfer() |
---|
| 2111 | { |
---|
| 2112 | G4int iTransfer ; |
---|
| 2113 | |
---|
| 2114 | G4double energyTransfer, position; |
---|
| 2115 | |
---|
| 2116 | position = (fIntegralPlasmon[1]-fIntegralResonance[1])*G4UniformRand(); |
---|
| 2117 | |
---|
| 2118 | for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ ) |
---|
| 2119 | { |
---|
| 2120 | if( position >= (fIntegralPlasmon[iTransfer]-fIntegralResonance[iTransfer]) ) break; |
---|
| 2121 | } |
---|
| 2122 | if(iTransfer > fSplineNumber) iTransfer--; |
---|
| 2123 | |
---|
| 2124 | energyTransfer = fSplineEnergy[iTransfer]; |
---|
| 2125 | |
---|
| 2126 | if(iTransfer > 1) |
---|
| 2127 | { |
---|
| 2128 | energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand(); |
---|
| 2129 | } |
---|
| 2130 | return energyTransfer; |
---|
| 2131 | } |
---|
| 2132 | |
---|
| 2133 | |
---|
[819] | 2134 | ///////////////////////////////////////////////////////////////////////////// |
---|
| 2135 | // |
---|
| 2136 | // Init array of Lorentz factors |
---|
| 2137 | // |
---|
| 2138 | |
---|
[961] | 2139 | G4int G4PAIxSection::fNumberOfGammas = 111; |
---|
[819] | 2140 | |
---|
| 2141 | const G4double G4PAIxSection::fLorentzFactor[112] = // fNumberOfGammas+1 |
---|
| 2142 | { |
---|
| 2143 | 0.0, |
---|
| 2144 | 1.094989e+00, 1.107813e+00, 1.122369e+00, 1.138890e+00, 1.157642e+00, |
---|
| 2145 | 1.178925e+00, 1.203082e+00, 1.230500e+00, 1.261620e+00, 1.296942e+00, // 10 |
---|
| 2146 | 1.337032e+00, 1.382535e+00, 1.434181e+00, 1.492800e+00, 1.559334e+00, |
---|
| 2147 | 1.634850e+00, 1.720562e+00, 1.817845e+00, 1.928263e+00, 2.053589e+00, // 20 |
---|
| 2148 | 2.195835e+00, 2.357285e+00, 2.540533e+00, 2.748522e+00, 2.984591e+00, |
---|
| 2149 | 3.252533e+00, 3.556649e+00, 3.901824e+00, 4.293602e+00, 4.738274e+00, // 30 |
---|
| 2150 | 5.242981e+00, 5.815829e+00, 6.466019e+00, 7.203990e+00, 8.041596e+00, |
---|
| 2151 | 8.992288e+00, 1.007133e+01, 1.129606e+01, 1.268614e+01, 1.426390e+01, // 40 |
---|
| 2152 | 1.605467e+01, 1.808721e+01, 2.039417e+01, 2.301259e+01, 2.598453e+01, |
---|
| 2153 | 2.935771e+01, 3.318630e+01, 3.753180e+01, 4.246399e+01, 4.806208e+01, // 50 |
---|
| 2154 | 5.441597e+01, 6.162770e+01, 6.981310e+01, 7.910361e+01, 8.964844e+01, |
---|
| 2155 | 1.016169e+02, 1.152013e+02, 1.306197e+02, 1.481198e+02, 1.679826e+02, // 60 |
---|
| 2156 | 1.905270e+02, 2.161152e+02, 2.451581e+02, 2.781221e+02, 3.155365e+02, |
---|
| 2157 | 3.580024e+02, 4.062016e+02, 4.609081e+02, 5.230007e+02, 5.934765e+02, // 70 |
---|
| 2158 | 6.734672e+02, 7.642575e+02, 8.673056e+02, 9.842662e+02, 1.117018e+03, |
---|
| 2159 | 1.267692e+03, 1.438709e+03, 1.632816e+03, 1.853128e+03, 2.103186e+03, // 80 |
---|
| 2160 | 2.387004e+03, 2.709140e+03, 3.074768e+03, 3.489760e+03, 3.960780e+03, |
---|
| 2161 | 4.495394e+03, 5.102185e+03, 5.790900e+03, 6.572600e+03, 7.459837e+03, // 90 |
---|
| 2162 | 8.466860e+03, 9.609843e+03, 1.090714e+04, 1.237959e+04, 1.405083e+04, |
---|
| 2163 | 1.594771e+04, 1.810069e+04, 2.054434e+04, 2.331792e+04, 2.646595e+04, // 100 |
---|
| 2164 | 3.003901e+04, 3.409446e+04, 3.869745e+04, 4.392189e+04, 4.985168e+04, |
---|
| 2165 | 5.658206e+04, 6.422112e+04, 7.289153e+04, 8.273254e+04, 9.390219e+04, // 110 |
---|
| 2166 | 1.065799e+05 |
---|
[961] | 2167 | }; |
---|
[819] | 2168 | |
---|
| 2169 | /////////////////////////////////////////////////////////////////////// |
---|
| 2170 | // |
---|
| 2171 | // The number of gamma for creation of spline (near ion-min , G ~ 4 ) |
---|
| 2172 | // |
---|
| 2173 | |
---|
| 2174 | const |
---|
[961] | 2175 | G4int G4PAIxSection::fRefGammaNumber = 29; |
---|
[819] | 2176 | |
---|
| 2177 | |
---|
| 2178 | // |
---|
| 2179 | // end of G4PAIxSection implementation file |
---|
| 2180 | // |
---|
| 2181 | //////////////////////////////////////////////////////////////////////////// |
---|
| 2182 | |
---|