[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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[1340] | 26 | // $Id: G4PAIySection.cc,v 1.6 2010/11/04 17:30:32 vnivanch Exp $ |
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| 27 | // GEANT4 tag $Name: emstand-V09-03-25 $ |
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[819] | 28 | // |
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| 29 | // |
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| 30 | // G4PAIySection.cc -- class implementation file |
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| 31 | // |
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| 32 | // GEANT 4 class implementation file |
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| 33 | // |
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| 34 | // For information related to this code, please, contact |
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| 35 | // the Geant4 Collaboration. |
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| 36 | // |
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| 37 | // R&D: Vladimir.Grichine@cern.ch |
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| 38 | // |
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| 39 | // History: |
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| 40 | // |
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| 41 | // 01.10.07, V.Ivanchenko create using V.Grichine G4PAIxSection class |
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[1196] | 42 | // 26.07.09, V.Ivanchenko added protection for mumerical exceptions for |
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| 43 | // low-density materials |
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[819] | 44 | // |
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| 45 | |
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| 46 | #include "G4PAIySection.hh" |
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| 47 | |
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| 48 | #include "globals.hh" |
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| 49 | #include "G4ios.hh" |
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| 50 | #include "G4Poisson.hh" |
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| 51 | #include "G4Material.hh" |
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| 52 | #include "G4MaterialCutsCouple.hh" |
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| 53 | #include "G4SandiaTable.hh" |
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| 54 | |
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| 55 | using namespace std; |
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| 56 | |
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| 57 | // Local class constants |
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| 58 | |
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| 59 | const G4double G4PAIySection::fDelta = 0.005 ; // energy shift from interval border |
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| 60 | const G4double G4PAIySection::fError = 0.005 ; // error in lin-log approximation |
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| 61 | |
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| 62 | const G4int G4PAIySection::fMaxSplineSize = 500 ; // Max size of output spline |
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| 63 | // arrays |
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| 64 | |
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| 65 | ////////////////////////////////////////////////////////////////// |
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| 66 | // |
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| 67 | // Constructor |
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| 68 | // |
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| 69 | |
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| 70 | G4PAIySection::G4PAIySection() |
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[1340] | 71 | { |
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| 72 | fSandia = 0; |
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| 73 | fDensity = fElectronDensity = fNormalizationCof = 0.0; |
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| 74 | fIntervalNumber = fSplineNumber = 0; |
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| 75 | } |
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[819] | 76 | |
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| 77 | //////////////////////////////////////////////////////////////////////////// |
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| 78 | // |
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| 79 | // Destructor |
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| 80 | |
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| 81 | G4PAIySection::~G4PAIySection() |
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| 82 | {} |
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| 83 | |
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| 84 | //////////////////////////////////////////////////////////////////////// |
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| 85 | // |
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| 86 | // Test Constructor with beta*gamma square value |
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| 87 | |
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| 88 | void G4PAIySection::Initialize( const G4Material* material, |
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| 89 | G4double maxEnergyTransfer, |
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| 90 | G4double betaGammaSq) |
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| 91 | { |
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| 92 | G4int i, j, numberOfElements ; |
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| 93 | |
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| 94 | fDensity = material->GetDensity(); |
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| 95 | fElectronDensity = material->GetElectronDensity() ; |
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| 96 | numberOfElements = material->GetNumberOfElements() ; |
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| 97 | |
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| 98 | fSandia = material->GetSandiaTable(); |
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| 99 | |
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| 100 | fIntervalNumber = fSandia->GetMaxInterval(); |
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| 101 | |
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| 102 | fIntervalNumber--; |
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| 103 | |
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| 104 | for(i=1;i<=fIntervalNumber;i++) |
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| 105 | { |
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| 106 | G4double e = fSandia->GetSandiaMatTablePAI(i,0); |
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| 107 | if(e >= maxEnergyTransfer || i > fIntervalNumber) |
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| 108 | { |
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| 109 | fEnergyInterval[i] = maxEnergyTransfer ; |
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| 110 | fIntervalNumber = i ; |
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| 111 | break; |
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| 112 | } |
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| 113 | fEnergyInterval[i] = e; |
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| 114 | fA1[i] = fSandia->GetSandiaMatTablePAI(i,1); |
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| 115 | fA2[i] = fSandia->GetSandiaMatTablePAI(i,2); |
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| 116 | fA3[i] = fSandia->GetSandiaMatTablePAI(i,3); |
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| 117 | fA4[i] = fSandia->GetSandiaMatTablePAI(i,4); |
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| 118 | |
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| 119 | } |
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| 120 | if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer) |
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| 121 | { |
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| 122 | fIntervalNumber++; |
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| 123 | fEnergyInterval[fIntervalNumber] = maxEnergyTransfer ; |
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| 124 | fA1[fIntervalNumber] = fA1[fIntervalNumber-1] ; |
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| 125 | fA2[fIntervalNumber] = fA2[fIntervalNumber-1] ; |
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| 126 | fA3[fIntervalNumber] = fA3[fIntervalNumber-1] ; |
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| 127 | fA4[fIntervalNumber] = fA4[fIntervalNumber-1] ; |
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| 128 | } |
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| 129 | |
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| 130 | // Now checking, if two borders are too close together |
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| 131 | for(i=1;i<fIntervalNumber;i++) |
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| 132 | { |
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| 133 | // G4cout<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t" |
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| 134 | // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl ; |
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[1196] | 135 | if(fEnergyInterval[i+1]-fEnergyInterval[i] < |
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[819] | 136 | 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i])) |
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| 137 | { |
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| 138 | for(j=i;j<fIntervalNumber;j++) |
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| 139 | { |
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| 140 | fEnergyInterval[j] = fEnergyInterval[j+1] ; |
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| 141 | fA1[j] = fA1[j+1] ; |
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| 142 | fA2[j] = fA2[j+1] ; |
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| 143 | fA3[j] = fA3[j+1] ; |
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| 144 | fA4[j] = fA4[j+1] ; |
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| 145 | } |
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| 146 | fIntervalNumber-- ; |
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| 147 | i-- ; |
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| 148 | } |
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| 149 | } |
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| 150 | |
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| 151 | // Preparation of fSplineEnergy array corresponding to min ionisation, G~4 |
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| 152 | |
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| 153 | G4double betaGammaSqRef = |
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| 154 | fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1; |
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| 155 | |
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| 156 | NormShift(betaGammaSqRef) ; |
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| 157 | SplainPAI(betaGammaSqRef) ; |
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| 158 | |
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| 159 | // Preparation of integral PAI cross section for input betaGammaSq |
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| 160 | |
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| 161 | for(i = 1 ; i <= fSplineNumber ; i++) |
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| 162 | { |
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| 163 | fDifPAIySection[i] = DifPAIySection(i,betaGammaSq); |
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| 164 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
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| 165 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
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| 166 | } |
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| 167 | IntegralPAIySection() ; |
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| 168 | IntegralCerenkov() ; |
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| 169 | IntegralPlasmon() ; |
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| 170 | } |
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| 171 | |
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| 172 | ///////////////////////////////////////////////////////////////////////// |
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| 173 | // |
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| 174 | // General control function for class G4PAIySection |
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| 175 | // |
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| 176 | |
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| 177 | void G4PAIySection::InitPAI() |
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| 178 | { |
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| 179 | G4int i ; |
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| 180 | G4double betaGammaSq = fLorentzFactor[fRefGammaNumber]* |
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| 181 | fLorentzFactor[fRefGammaNumber] - 1; |
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| 182 | |
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| 183 | // Preparation of integral PAI cross section for reference gamma |
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| 184 | |
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| 185 | NormShift(betaGammaSq) ; |
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| 186 | SplainPAI(betaGammaSq) ; |
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| 187 | |
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| 188 | IntegralPAIySection() ; |
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| 189 | IntegralCerenkov() ; |
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| 190 | IntegralPlasmon() ; |
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| 191 | |
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| 192 | for(i = 0 ; i<=fSplineNumber ; i++) |
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| 193 | { |
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| 194 | fPAItable[i][fRefGammaNumber] = fIntegralPAIySection[i] ; |
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| 195 | if(i != 0) |
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| 196 | { |
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| 197 | fPAItable[i][0] = fSplineEnergy[i] ; |
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| 198 | } |
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| 199 | } |
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| 200 | fPAItable[0][0] = fSplineNumber ; |
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| 201 | |
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| 202 | for(G4int j = 1 ; j < 112 ; j++) // for other gammas |
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| 203 | { |
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| 204 | if( j == fRefGammaNumber ) continue ; |
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| 205 | |
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| 206 | betaGammaSq = fLorentzFactor[j]*fLorentzFactor[j] - 1 ; |
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| 207 | |
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| 208 | for(i = 1 ; i <= fSplineNumber ; i++) |
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| 209 | { |
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| 210 | fDifPAIySection[i] = DifPAIySection(i,betaGammaSq); |
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| 211 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
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| 212 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
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| 213 | } |
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| 214 | IntegralPAIySection() ; |
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| 215 | IntegralCerenkov() ; |
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| 216 | IntegralPlasmon() ; |
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| 217 | |
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| 218 | for(i = 0 ; i <= fSplineNumber ; i++) |
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| 219 | { |
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| 220 | fPAItable[i][j] = fIntegralPAIySection[i] ; |
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| 221 | } |
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| 222 | } |
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| 223 | |
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| 224 | } |
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| 225 | |
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| 226 | /////////////////////////////////////////////////////////////////////// |
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| 227 | // |
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| 228 | // Shifting from borders to intervals Creation of first energy points |
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| 229 | // |
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| 230 | |
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| 231 | void G4PAIySection::NormShift(G4double betaGammaSq) |
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| 232 | { |
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| 233 | G4int i, j ; |
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| 234 | |
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| 235 | for( i = 1 ; i <= fIntervalNumber-1 ; i++ ) |
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| 236 | { |
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| 237 | for( j = 1 ; j <= 2 ; j++ ) |
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| 238 | { |
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| 239 | fSplineNumber = (i-1)*2 + j ; |
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| 240 | |
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| 241 | if( j == 1 ) fSplineEnergy[fSplineNumber] = fEnergyInterval[i ]*(1+fDelta); |
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| 242 | else fSplineEnergy[fSplineNumber] = fEnergyInterval[i+1]*(1-fDelta); |
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| 243 | // G4cout<<"cn = "<<fSplineNumber<<"; "<<"energy = " |
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| 244 | // <<fSplineEnergy[fSplineNumber]<<G4endl; |
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| 245 | } |
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| 246 | } |
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| 247 | fIntegralTerm[1]=RutherfordIntegral(1,fEnergyInterval[1],fSplineEnergy[1]); |
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| 248 | |
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| 249 | j = 1 ; |
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| 250 | |
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| 251 | for(i=2;i<=fSplineNumber;i++) |
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| 252 | { |
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| 253 | if(fSplineEnergy[i]<fEnergyInterval[j+1]) |
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| 254 | { |
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| 255 | fIntegralTerm[i] = fIntegralTerm[i-1] + |
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| 256 | RutherfordIntegral(j,fSplineEnergy[i-1], |
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| 257 | fSplineEnergy[i] ) ; |
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| 258 | } |
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| 259 | else |
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| 260 | { |
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| 261 | G4double x = RutherfordIntegral(j,fSplineEnergy[i-1], |
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| 262 | fEnergyInterval[j+1] ) ; |
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| 263 | j++; |
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| 264 | fIntegralTerm[i] = fIntegralTerm[i-1] + x + |
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| 265 | RutherfordIntegral(j,fEnergyInterval[j], |
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| 266 | fSplineEnergy[i] ) ; |
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| 267 | } |
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| 268 | // G4cout<<i<<"\t"<<fSplineEnergy[i]<<"\t"<<fIntegralTerm[i]<<"\n"<<G4endl; |
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| 269 | } |
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| 270 | fNormalizationCof = 2*pi*pi*hbarc*hbarc*fine_structure_const/electron_mass_c2 ; |
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| 271 | fNormalizationCof *= fElectronDensity/fIntegralTerm[fSplineNumber] ; |
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| 272 | |
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| 273 | // G4cout<<"fNormalizationCof = "<<fNormalizationCof<<G4endl ; |
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| 274 | |
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| 275 | // Calculation of PAI differrential cross-section (1/(keV*cm)) |
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| 276 | // in the energy points near borders of energy intervals |
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| 277 | |
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| 278 | for(G4int k=1;k<=fIntervalNumber-1;k++) |
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| 279 | { |
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| 280 | for(j=1;j<=2;j++) |
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| 281 | { |
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| 282 | i = (k-1)*2 + j ; |
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| 283 | fImPartDielectricConst[i] = fNormalizationCof* |
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| 284 | ImPartDielectricConst(k,fSplineEnergy[i]); |
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| 285 | fRePartDielectricConst[i] = fNormalizationCof* |
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| 286 | RePartDielectricConst(fSplineEnergy[i]); |
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| 287 | fIntegralTerm[i] *= fNormalizationCof; |
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| 288 | |
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| 289 | fDifPAIySection[i] = DifPAIySection(i,betaGammaSq); |
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| 290 | fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq); |
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| 291 | fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq); |
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| 292 | } |
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| 293 | } |
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| 294 | |
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| 295 | } // end of NormShift |
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| 296 | |
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| 297 | ///////////////////////////////////////////////////////////////////////// |
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| 298 | // |
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| 299 | // Creation of new energy points as geometrical mean of existing |
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| 300 | // one, calculation PAI_cs for them, while the error of logarithmic |
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| 301 | // linear approximation would be smaller than 'fError' |
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| 302 | |
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| 303 | void G4PAIySection::SplainPAI(G4double betaGammaSq) |
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| 304 | { |
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| 305 | G4int k = 1 ; |
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| 306 | G4int i = 1 ; |
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| 307 | |
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| 308 | while ( (i < fSplineNumber) && (fSplineNumber < fMaxSplineSize-1) ) |
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| 309 | { |
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| 310 | if(fSplineEnergy[i+1] > fEnergyInterval[k+1]) |
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| 311 | { |
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| 312 | k++ ; // Here next energy point is in next energy interval |
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| 313 | i++; |
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| 314 | continue; |
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| 315 | } |
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| 316 | // Shifting of arrayes for inserting the geometrical |
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| 317 | // average of 'i' and 'i+1' energy points to 'i+1' place |
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| 318 | fSplineNumber++; |
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| 319 | |
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| 320 | for(G4int j = fSplineNumber; j >= i+2 ; j-- ) |
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| 321 | { |
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| 322 | fSplineEnergy[j] = fSplineEnergy[j-1]; |
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| 323 | fImPartDielectricConst[j] = fImPartDielectricConst[j-1]; |
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| 324 | fRePartDielectricConst[j] = fRePartDielectricConst[j-1]; |
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| 325 | fIntegralTerm[j] = fIntegralTerm[j-1]; |
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| 326 | |
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| 327 | fDifPAIySection[j] = fDifPAIySection[j-1]; |
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| 328 | fdNdxCerenkov[j] = fdNdxCerenkov[j-1]; |
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| 329 | fdNdxPlasmon[j] = fdNdxPlasmon[j-1]; |
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| 330 | } |
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| 331 | G4double x1 = fSplineEnergy[i]; |
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| 332 | G4double x2 = fSplineEnergy[i+1]; |
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| 333 | G4double yy1 = fDifPAIySection[i]; |
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| 334 | G4double y2 = fDifPAIySection[i+1]; |
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| 335 | |
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| 336 | G4double en1 = sqrt(x1*x2); |
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| 337 | fSplineEnergy[i+1] = en1; |
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| 338 | |
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| 339 | // Calculation of logarithmic linear approximation |
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| 340 | // in this (enr) energy point, which number is 'i+1' now |
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| 341 | |
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| 342 | G4double a = log10(y2/yy1)/log10(x2/x1); |
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| 343 | G4double b = log10(yy1) - a*log10(x1); |
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| 344 | G4double y = a*log10(en1) + b ; |
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| 345 | y = pow(10.,y); |
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| 346 | |
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| 347 | // Calculation of the PAI dif. cross-section at this point |
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| 348 | |
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| 349 | fImPartDielectricConst[i+1] = fNormalizationCof* |
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| 350 | ImPartDielectricConst(k,fSplineEnergy[i+1]); |
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| 351 | fRePartDielectricConst[i+1] = fNormalizationCof* |
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| 352 | RePartDielectricConst(fSplineEnergy[i+1]); |
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| 353 | fIntegralTerm[i+1] = fIntegralTerm[i] + fNormalizationCof* |
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| 354 | RutherfordIntegral(k,fSplineEnergy[i], |
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| 355 | fSplineEnergy[i+1]); |
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| 356 | |
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| 357 | fDifPAIySection[i+1] = DifPAIySection(i+1,betaGammaSq); |
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| 358 | fdNdxCerenkov[i+1] = PAIdNdxCerenkov(i+1,betaGammaSq); |
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| 359 | fdNdxPlasmon[i+1] = PAIdNdxPlasmon(i+1,betaGammaSq); |
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| 360 | |
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| 361 | // Condition for next division of this segment or to pass |
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| 362 | // to higher energies |
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| 363 | |
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| 364 | G4double x = 2*(fDifPAIySection[i+1] - y)/(fDifPAIySection[i+1] + y); |
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| 365 | |
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| 366 | if( x < 0 ) |
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| 367 | { |
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| 368 | x = -x ; |
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| 369 | } |
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| 370 | if( x > fError && fSplineNumber < fMaxSplineSize-1 ) |
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| 371 | { |
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| 372 | continue; // next division |
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| 373 | } |
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| 374 | i += 2; // pass to next segment |
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| 375 | |
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| 376 | } // close 'while' |
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| 377 | |
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| 378 | } // end of SplainPAI |
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| 379 | |
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| 380 | |
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| 381 | //////////////////////////////////////////////////////////////////// |
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| 382 | // |
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| 383 | // Integration over electrons that could be considered |
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| 384 | // quasi-free at energy transfer of interest |
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| 385 | |
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| 386 | G4double G4PAIySection::RutherfordIntegral( G4int k, |
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| 387 | G4double x1, |
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| 388 | G4double x2 ) |
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| 389 | { |
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| 390 | G4double c1, c2, c3 ; |
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| 391 | // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<x2<<G4endl; |
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| 392 | c1 = (x2 - x1)/x1/x2 ; |
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| 393 | c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2 ; |
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| 394 | c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ; |
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| 395 | // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<<c2<<"; "<<"c3 = "<<c3<<G4endl; |
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| 396 | |
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| 397 | return fA1[k]*log(x2/x1) + fA2[k]*c1 + fA3[k]*c2/2 + fA4[k]*c3/3 ; |
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| 398 | |
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| 399 | } // end of RutherfordIntegral |
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| 400 | |
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| 401 | |
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| 402 | ///////////////////////////////////////////////////////////////// |
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| 403 | // |
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| 404 | // Imaginary part of dielectric constant |
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| 405 | // (G4int k - interval number, G4double en1 - energy point) |
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| 406 | |
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| 407 | G4double G4PAIySection::ImPartDielectricConst( G4int k , |
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| 408 | G4double energy1 ) |
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| 409 | { |
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| 410 | G4double energy2,energy3,energy4,result; |
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| 411 | |
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| 412 | energy2 = energy1*energy1; |
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| 413 | energy3 = energy2*energy1; |
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| 414 | energy4 = energy3*energy1; |
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| 415 | |
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| 416 | result = fA1[k]/energy1+fA2[k]/energy2+fA3[k]/energy3+fA4[k]/energy4 ; |
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| 417 | result *=hbarc/energy1 ; |
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| 418 | |
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| 419 | return result ; |
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| 420 | |
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| 421 | } // end of ImPartDielectricConst |
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| 422 | |
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| 423 | |
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| 424 | ////////////////////////////////////////////////////////////////////////////// |
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| 425 | // |
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| 426 | // Real part of dielectric constant minus unit: epsilon_1 - 1 |
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| 427 | // (G4double enb - energy point) |
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| 428 | // |
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| 429 | |
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| 430 | G4double G4PAIySection::RePartDielectricConst(G4double enb) |
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| 431 | { |
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| 432 | G4double x0, x02, x03, x04, x05, x1, x2, xx1 ,xx2 , xx12, |
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| 433 | c1, c2, c3, cof1, cof2, xln1, xln2, xln3, result ; |
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| 434 | |
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| 435 | x0 = enb ; |
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| 436 | result = 0 ; |
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| 437 | |
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| 438 | for(G4int i=1;i<=fIntervalNumber-1;i++) |
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| 439 | { |
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| 440 | x1 = fEnergyInterval[i] ; |
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| 441 | x2 = fEnergyInterval[i+1] ; |
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| 442 | xx1 = x1 - x0 ; |
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| 443 | xx2 = x2 - x0 ; |
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| 444 | xx12 = xx2/xx1 ; |
---|
| 445 | |
---|
| 446 | if(xx12<0) |
---|
| 447 | { |
---|
| 448 | xx12 = -xx12; |
---|
| 449 | } |
---|
| 450 | xln1 = log(x2/x1) ; |
---|
| 451 | xln2 = log(xx12) ; |
---|
| 452 | xln3 = log((x2 + x0)/(x1 + x0)) ; |
---|
| 453 | x02 = x0*x0 ; |
---|
| 454 | x03 = x02*x0 ; |
---|
| 455 | x04 = x03*x0 ; |
---|
| 456 | x05 = x04*x0; |
---|
| 457 | c1 = (x2 - x1)/x1/x2 ; |
---|
| 458 | c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2 ; |
---|
| 459 | c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ; |
---|
| 460 | |
---|
| 461 | result -= (fA1[i]/x02 + fA3[i]/x04)*xln1 ; |
---|
| 462 | result -= (fA2[i]/x02 + fA4[i]/x04)*c1 ; |
---|
| 463 | result -= fA3[i]*c2/2/x02 ; |
---|
| 464 | result -= fA4[i]*c3/3/x02 ; |
---|
| 465 | |
---|
| 466 | cof1 = fA1[i]/x02 + fA3[i]/x04 ; |
---|
| 467 | cof2 = fA2[i]/x03 + fA4[i]/x05 ; |
---|
| 468 | |
---|
| 469 | result += 0.5*(cof1 +cof2)*xln2 ; |
---|
| 470 | result += 0.5*(cof1 - cof2)*xln3 ; |
---|
| 471 | } |
---|
| 472 | result *= 2*hbarc/pi ; |
---|
| 473 | |
---|
| 474 | return result ; |
---|
| 475 | |
---|
| 476 | } // end of RePartDielectricConst |
---|
| 477 | |
---|
| 478 | ////////////////////////////////////////////////////////////////////// |
---|
| 479 | // |
---|
| 480 | // PAI differential cross-section in terms of |
---|
| 481 | // simplified Allison's equation |
---|
| 482 | // |
---|
| 483 | |
---|
| 484 | G4double G4PAIySection::DifPAIySection( G4int i , |
---|
| 485 | G4double betaGammaSq ) |
---|
| 486 | { |
---|
| 487 | G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,result ; |
---|
| 488 | //G4double beta, be4 ; |
---|
| 489 | G4double be4 ; |
---|
| 490 | G4double betaBohr2 = fine_structure_const*fine_structure_const ; |
---|
| 491 | G4double betaBohr4 = betaBohr2*betaBohr2*4.0 ; |
---|
| 492 | be2 = betaGammaSq/(1 + betaGammaSq) ; |
---|
| 493 | be4 = be2*be2 ; |
---|
| 494 | // beta = sqrt(be2) ; |
---|
| 495 | cof = 1 ; |
---|
| 496 | x1 = log(2*electron_mass_c2/fSplineEnergy[i]) ; |
---|
| 497 | |
---|
| 498 | if( betaGammaSq < 0.01 ) x2 = log(be2) ; |
---|
| 499 | else |
---|
| 500 | { |
---|
| 501 | x2 = -log( (1/betaGammaSq - fRePartDielectricConst[i])* |
---|
| 502 | (1/betaGammaSq - fRePartDielectricConst[i]) + |
---|
| 503 | fImPartDielectricConst[i]*fImPartDielectricConst[i] )/2 ; |
---|
| 504 | } |
---|
| 505 | if( fImPartDielectricConst[i] == 0.0 ||betaGammaSq < 0.01 ) |
---|
| 506 | { |
---|
| 507 | x6=0 ; |
---|
| 508 | } |
---|
| 509 | else |
---|
| 510 | { |
---|
| 511 | x3 = -fRePartDielectricConst[i] + 1/betaGammaSq ; |
---|
| 512 | x5 = -1 - fRePartDielectricConst[i] + |
---|
| 513 | be2*((1 +fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
| 514 | fImPartDielectricConst[i]*fImPartDielectricConst[i]) ; |
---|
| 515 | |
---|
| 516 | x7 = atan2(fImPartDielectricConst[i],x3) ; |
---|
| 517 | x6 = x5 * x7 ; |
---|
| 518 | } |
---|
| 519 | // if(fImPartDielectricConst[i] == 0) x6 = 0 ; |
---|
| 520 | |
---|
| 521 | x4 = ((x1 + x2)*fImPartDielectricConst[i] + x6)/hbarc ; |
---|
| 522 | // if( x4 < 0.0 ) x4 = 0.0 ; |
---|
| 523 | x8 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
| 524 | fImPartDielectricConst[i]*fImPartDielectricConst[i] ; |
---|
| 525 | |
---|
| 526 | result = (x4 + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i]) ; |
---|
| 527 | if(result < 1.0e-8) result = 1.0e-8 ; |
---|
| 528 | result *= fine_structure_const/be2/pi ; |
---|
| 529 | // result *= (1-exp(-beta/betaBohr))*(1-exp(-beta/betaBohr)) ; |
---|
| 530 | // result *= (1-exp(-be2/betaBohr2)) ; |
---|
| 531 | result *= (1-exp(-be4/betaBohr4)) ; |
---|
[1196] | 532 | // if(fDensity >= 0.1) |
---|
| 533 | if(x8 > 0.) |
---|
[819] | 534 | { |
---|
| 535 | result /= x8 ; |
---|
| 536 | } |
---|
| 537 | return result ; |
---|
| 538 | |
---|
| 539 | } // end of DifPAIySection |
---|
| 540 | |
---|
| 541 | ////////////////////////////////////////////////////////////////////////// |
---|
| 542 | // |
---|
| 543 | // Calculation od dN/dx of collisions with creation of Cerenkov pseudo-photons |
---|
| 544 | |
---|
| 545 | G4double G4PAIySection::PAIdNdxCerenkov( G4int i , |
---|
| 546 | G4double betaGammaSq ) |
---|
| 547 | { |
---|
| 548 | G4double cof, logarithm, x3, x5, argument, modul2, dNdxC ; |
---|
| 549 | G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr ; |
---|
| 550 | |
---|
| 551 | cof = 1.0 ; |
---|
| 552 | cofBetaBohr = 4.0 ; |
---|
| 553 | betaBohr2 = fine_structure_const*fine_structure_const ; |
---|
| 554 | betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ; |
---|
| 555 | |
---|
| 556 | be2 = betaGammaSq/(1 + betaGammaSq) ; |
---|
| 557 | be4 = be2*be2 ; |
---|
| 558 | |
---|
| 559 | if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq) ; // 0.0 ; |
---|
| 560 | else |
---|
| 561 | { |
---|
| 562 | logarithm = -log( (1/betaGammaSq - fRePartDielectricConst[i])* |
---|
| 563 | (1/betaGammaSq - fRePartDielectricConst[i]) + |
---|
| 564 | fImPartDielectricConst[i]*fImPartDielectricConst[i] )*0.5 ; |
---|
| 565 | logarithm += log(1+1.0/betaGammaSq) ; |
---|
| 566 | } |
---|
| 567 | |
---|
| 568 | if( fImPartDielectricConst[i] == 0.0 || betaGammaSq < 0.01 ) |
---|
| 569 | { |
---|
| 570 | argument = 0.0 ; |
---|
| 571 | } |
---|
| 572 | else |
---|
| 573 | { |
---|
| 574 | x3 = -fRePartDielectricConst[i] + 1.0/betaGammaSq ; |
---|
| 575 | x5 = -1.0 - fRePartDielectricConst[i] + |
---|
| 576 | be2*((1.0 +fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) + |
---|
| 577 | fImPartDielectricConst[i]*fImPartDielectricConst[i]) ; |
---|
| 578 | if( x3 == 0.0 ) argument = 0.5*pi; |
---|
| 579 | else argument = atan2(fImPartDielectricConst[i],x3) ; |
---|
| 580 | argument *= x5 ; |
---|
| 581 | } |
---|
| 582 | dNdxC = ( logarithm*fImPartDielectricConst[i] + argument )/hbarc ; |
---|
| 583 | |
---|
| 584 | if(dNdxC < 1.0e-8) dNdxC = 1.0e-8 ; |
---|
| 585 | |
---|
| 586 | dNdxC *= fine_structure_const/be2/pi ; |
---|
| 587 | |
---|
| 588 | dNdxC *= (1-exp(-be4/betaBohr4)) ; |
---|
| 589 | |
---|
[1196] | 590 | // if(fDensity >= 0.1) |
---|
| 591 | // { |
---|
| 592 | modul2 = (1.0 + fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) + |
---|
[819] | 593 | fImPartDielectricConst[i]*fImPartDielectricConst[i] ; |
---|
[1196] | 594 | if(modul2 > 0.) |
---|
| 595 | { |
---|
| 596 | dNdxC /= modul2 ; |
---|
| 597 | } |
---|
[819] | 598 | return dNdxC ; |
---|
| 599 | |
---|
| 600 | } // end of PAIdNdxCerenkov |
---|
| 601 | |
---|
| 602 | ////////////////////////////////////////////////////////////////////////// |
---|
| 603 | // |
---|
| 604 | // Calculation od dN/dx of collisions with creation of longitudinal EM |
---|
| 605 | // excitations (plasmons, delta-electrons) |
---|
| 606 | |
---|
| 607 | G4double G4PAIySection::PAIdNdxPlasmon( G4int i , |
---|
| 608 | G4double betaGammaSq ) |
---|
| 609 | { |
---|
| 610 | G4double cof, resonance, modul2, dNdxP ; |
---|
| 611 | G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr ; |
---|
| 612 | |
---|
| 613 | cof = 1 ; |
---|
| 614 | cofBetaBohr = 4.0 ; |
---|
| 615 | betaBohr2 = fine_structure_const*fine_structure_const ; |
---|
| 616 | betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ; |
---|
| 617 | |
---|
| 618 | be2 = betaGammaSq/(1 + betaGammaSq) ; |
---|
| 619 | be4 = be2*be2 ; |
---|
| 620 | |
---|
| 621 | resonance = log(2*electron_mass_c2*be2/fSplineEnergy[i]) ; |
---|
| 622 | resonance *= fImPartDielectricConst[i]/hbarc ; |
---|
| 623 | |
---|
| 624 | |
---|
| 625 | dNdxP = ( resonance + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i] ) ; |
---|
| 626 | |
---|
| 627 | if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8 ; |
---|
| 628 | |
---|
| 629 | dNdxP *= fine_structure_const/be2/pi ; |
---|
| 630 | dNdxP *= (1-exp(-be4/betaBohr4)) ; |
---|
| 631 | |
---|
[1196] | 632 | // if( fDensity >= 0.1 ) |
---|
| 633 | // { |
---|
| 634 | modul2 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) + |
---|
| 635 | fImPartDielectricConst[i]*fImPartDielectricConst[i] ; |
---|
| 636 | if(modul2 > 0.) |
---|
| 637 | { |
---|
| 638 | dNdxP /= modul2 ; |
---|
| 639 | } |
---|
[819] | 640 | return dNdxP ; |
---|
| 641 | |
---|
| 642 | } // end of PAIdNdxPlasmon |
---|
| 643 | |
---|
| 644 | //////////////////////////////////////////////////////////////////////// |
---|
| 645 | // |
---|
| 646 | // Calculation of the PAI integral cross-section |
---|
| 647 | // fIntegralPAIySection[1] = specific primary ionisation, 1/cm |
---|
| 648 | // and fIntegralPAIySection[0] = mean energy loss per cm in keV/cm |
---|
| 649 | |
---|
| 650 | void G4PAIySection::IntegralPAIySection() |
---|
| 651 | { |
---|
| 652 | fIntegralPAIySection[fSplineNumber] = 0 ; |
---|
| 653 | fIntegralPAIdEdx[fSplineNumber] = 0 ; |
---|
| 654 | fIntegralPAIySection[0] = 0 ; |
---|
| 655 | G4int k = fIntervalNumber -1 ; |
---|
| 656 | |
---|
| 657 | for(G4int i = fSplineNumber-1 ; i >= 1 ; i--) |
---|
| 658 | { |
---|
| 659 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
| 660 | { |
---|
| 661 | fIntegralPAIySection[i] = fIntegralPAIySection[i+1] + SumOverInterval(i) ; |
---|
| 662 | fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] + SumOverIntervaldEdx(i) ; |
---|
| 663 | } |
---|
| 664 | else |
---|
| 665 | { |
---|
| 666 | fIntegralPAIySection[i] = fIntegralPAIySection[i+1] + |
---|
| 667 | SumOverBorder(i+1,fEnergyInterval[k]) ; |
---|
| 668 | fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] + |
---|
| 669 | SumOverBorderdEdx(i+1,fEnergyInterval[k]) ; |
---|
| 670 | k-- ; |
---|
| 671 | } |
---|
| 672 | } |
---|
| 673 | } // end of IntegralPAIySection |
---|
| 674 | |
---|
| 675 | //////////////////////////////////////////////////////////////////////// |
---|
| 676 | // |
---|
| 677 | // Calculation of the PAI Cerenkov integral cross-section |
---|
| 678 | // fIntegralCrenkov[1] = specific Crenkov ionisation, 1/cm |
---|
| 679 | // and fIntegralCerenkov[0] = mean Cerenkov loss per cm in keV/cm |
---|
| 680 | |
---|
| 681 | void G4PAIySection::IntegralCerenkov() |
---|
| 682 | { |
---|
| 683 | G4int i, k ; |
---|
| 684 | fIntegralCerenkov[fSplineNumber] = 0 ; |
---|
| 685 | fIntegralCerenkov[0] = 0 ; |
---|
| 686 | k = fIntervalNumber -1 ; |
---|
| 687 | |
---|
| 688 | for( i = fSplineNumber-1 ; i >= 1 ; i-- ) |
---|
| 689 | { |
---|
| 690 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
| 691 | { |
---|
| 692 | fIntegralCerenkov[i] = fIntegralCerenkov[i+1] + SumOverInterCerenkov(i) ; |
---|
| 693 | // G4cout<<"int: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl; |
---|
| 694 | } |
---|
| 695 | else |
---|
| 696 | { |
---|
| 697 | fIntegralCerenkov[i] = fIntegralCerenkov[i+1] + |
---|
| 698 | SumOverBordCerenkov(i+1,fEnergyInterval[k]) ; |
---|
| 699 | k-- ; |
---|
| 700 | // G4cout<<"bord: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl; |
---|
| 701 | } |
---|
| 702 | } |
---|
| 703 | |
---|
| 704 | } // end of IntegralCerenkov |
---|
| 705 | |
---|
| 706 | //////////////////////////////////////////////////////////////////////// |
---|
| 707 | // |
---|
| 708 | // Calculation of the PAI Plasmon integral cross-section |
---|
| 709 | // fIntegralPlasmon[1] = splasmon primary ionisation, 1/cm |
---|
| 710 | // and fIntegralPlasmon[0] = mean plasmon loss per cm in keV/cm |
---|
| 711 | |
---|
| 712 | void G4PAIySection::IntegralPlasmon() |
---|
| 713 | { |
---|
| 714 | fIntegralPlasmon[fSplineNumber] = 0 ; |
---|
| 715 | fIntegralPlasmon[0] = 0 ; |
---|
| 716 | G4int k = fIntervalNumber -1 ; |
---|
| 717 | for(G4int i=fSplineNumber-1;i>=1;i--) |
---|
| 718 | { |
---|
| 719 | if(fSplineEnergy[i] >= fEnergyInterval[k]) |
---|
| 720 | { |
---|
| 721 | fIntegralPlasmon[i] = fIntegralPlasmon[i+1] + SumOverInterPlasmon(i) ; |
---|
| 722 | } |
---|
| 723 | else |
---|
| 724 | { |
---|
| 725 | fIntegralPlasmon[i] = fIntegralPlasmon[i+1] + |
---|
| 726 | SumOverBordPlasmon(i+1,fEnergyInterval[k]) ; |
---|
| 727 | k-- ; |
---|
| 728 | } |
---|
| 729 | } |
---|
| 730 | |
---|
| 731 | } // end of IntegralPlasmon |
---|
| 732 | |
---|
| 733 | ////////////////////////////////////////////////////////////////////// |
---|
| 734 | // |
---|
| 735 | // Calculation the PAI integral cross-section inside |
---|
| 736 | // of interval of continuous values of photo-ionisation |
---|
| 737 | // cross-section. Parameter 'i' is the number of interval. |
---|
| 738 | |
---|
| 739 | G4double G4PAIySection::SumOverInterval( G4int i ) |
---|
| 740 | { |
---|
| 741 | G4double x0,x1,y0,yy1,a,b,c,result ; |
---|
| 742 | |
---|
| 743 | x0 = fSplineEnergy[i] ; |
---|
| 744 | x1 = fSplineEnergy[i+1] ; |
---|
| 745 | y0 = fDifPAIySection[i] ; |
---|
| 746 | yy1 = fDifPAIySection[i+1]; |
---|
| 747 | c = x1/x0; |
---|
| 748 | a = log10(yy1/y0)/log10(c) ; |
---|
| 749 | // b = log10(y0) - a*log10(x0) ; |
---|
| 750 | b = y0/pow(x0,a) ; |
---|
| 751 | a += 1 ; |
---|
| 752 | if(a == 0) |
---|
| 753 | { |
---|
| 754 | result = b*log(x1/x0) ; |
---|
| 755 | } |
---|
| 756 | else |
---|
| 757 | { |
---|
| 758 | result = y0*(x1*pow(c,a-1) - x0)/a ; |
---|
| 759 | } |
---|
| 760 | a++; |
---|
| 761 | if(a == 0) |
---|
| 762 | { |
---|
| 763 | fIntegralPAIySection[0] += b*log(x1/x0) ; |
---|
| 764 | } |
---|
| 765 | else |
---|
| 766 | { |
---|
| 767 | fIntegralPAIySection[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a ; |
---|
| 768 | } |
---|
| 769 | return result ; |
---|
| 770 | |
---|
| 771 | } // end of SumOverInterval |
---|
| 772 | |
---|
| 773 | ///////////////////////////////// |
---|
| 774 | |
---|
| 775 | G4double G4PAIySection::SumOverIntervaldEdx( G4int i ) |
---|
| 776 | { |
---|
| 777 | G4double x0,x1,y0,yy1,a,b,c,result ; |
---|
| 778 | |
---|
| 779 | x0 = fSplineEnergy[i] ; |
---|
| 780 | x1 = fSplineEnergy[i+1] ; |
---|
| 781 | y0 = fDifPAIySection[i] ; |
---|
| 782 | yy1 = fDifPAIySection[i+1]; |
---|
| 783 | c = x1/x0; |
---|
| 784 | a = log10(yy1/y0)/log10(c) ; |
---|
| 785 | // b = log10(y0) - a*log10(x0) ; |
---|
| 786 | b = y0/pow(x0,a) ; |
---|
| 787 | a += 2 ; |
---|
| 788 | if(a == 0) |
---|
| 789 | { |
---|
| 790 | result = b*log(x1/x0) ; |
---|
| 791 | } |
---|
| 792 | else |
---|
| 793 | { |
---|
| 794 | result = y0*(x1*x1*pow(c,a-2) - x0*x0)/a ; |
---|
| 795 | } |
---|
| 796 | return result ; |
---|
| 797 | |
---|
| 798 | } // end of SumOverInterval |
---|
| 799 | |
---|
| 800 | ////////////////////////////////////////////////////////////////////// |
---|
| 801 | // |
---|
| 802 | // Calculation the PAI Cerenkov integral cross-section inside |
---|
| 803 | // of interval of continuous values of photo-ionisation Cerenkov |
---|
| 804 | // cross-section. Parameter 'i' is the number of interval. |
---|
| 805 | |
---|
| 806 | G4double G4PAIySection::SumOverInterCerenkov( G4int i ) |
---|
| 807 | { |
---|
[1196] | 808 | G4double x0,x1,y0,yy1,a,c,result ; |
---|
[819] | 809 | |
---|
| 810 | x0 = fSplineEnergy[i] ; |
---|
| 811 | x1 = fSplineEnergy[i+1] ; |
---|
| 812 | y0 = fdNdxCerenkov[i] ; |
---|
| 813 | yy1 = fdNdxCerenkov[i+1]; |
---|
| 814 | // G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"; x1 = "<<x1 |
---|
| 815 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
| 816 | |
---|
| 817 | c = x1/x0; |
---|
| 818 | a = log10(yy1/y0)/log10(c) ; |
---|
[1196] | 819 | G4double b = 0.0; |
---|
| 820 | if(a < 20.) b = y0/pow(x0,a) ; |
---|
[819] | 821 | |
---|
| 822 | a += 1.0 ; |
---|
| 823 | if(a == 0) result = b*log(c) ; |
---|
| 824 | else result = y0*(x1*pow(c,a-1) - x0)/a ; |
---|
| 825 | a += 1.0 ; |
---|
| 826 | |
---|
| 827 | if( a == 0 ) fIntegralCerenkov[0] += b*log(x1/x0) ; |
---|
| 828 | else fIntegralCerenkov[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a ; |
---|
| 829 | // G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl; |
---|
| 830 | return result ; |
---|
| 831 | |
---|
| 832 | } // end of SumOverInterCerenkov |
---|
| 833 | |
---|
| 834 | ////////////////////////////////////////////////////////////////////// |
---|
| 835 | // |
---|
| 836 | // Calculation the PAI Plasmon integral cross-section inside |
---|
| 837 | // of interval of continuous values of photo-ionisation Plasmon |
---|
| 838 | // cross-section. Parameter 'i' is the number of interval. |
---|
| 839 | |
---|
| 840 | G4double G4PAIySection::SumOverInterPlasmon( G4int i ) |
---|
| 841 | { |
---|
[1196] | 842 | G4double x0,x1,y0,yy1,a,c,result ; |
---|
[819] | 843 | |
---|
| 844 | x0 = fSplineEnergy[i] ; |
---|
| 845 | x1 = fSplineEnergy[i+1] ; |
---|
| 846 | y0 = fdNdxPlasmon[i] ; |
---|
| 847 | yy1 = fdNdxPlasmon[i+1]; |
---|
| 848 | c =x1/x0; |
---|
| 849 | a = log10(yy1/y0)/log10(c) ; |
---|
| 850 | |
---|
[1196] | 851 | G4double b = 0.0; |
---|
| 852 | if(a < 20.) b = y0/pow(x0,a) ; |
---|
| 853 | |
---|
[819] | 854 | a += 1.0 ; |
---|
| 855 | if(a == 0) result = b*log(x1/x0) ; |
---|
| 856 | else result = y0*(x1*pow(c,a-1) - x0)/a ; |
---|
| 857 | a += 1.0 ; |
---|
| 858 | |
---|
| 859 | if( a == 0 ) fIntegralPlasmon[0] += b*log(x1/x0) ; |
---|
| 860 | else fIntegralPlasmon[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a ; |
---|
| 861 | |
---|
| 862 | return result ; |
---|
| 863 | |
---|
| 864 | } // end of SumOverInterPlasmon |
---|
| 865 | |
---|
| 866 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 867 | // |
---|
| 868 | // Integration of PAI cross-section for the case of |
---|
| 869 | // passing across border between intervals |
---|
| 870 | |
---|
| 871 | G4double G4PAIySection::SumOverBorder( G4int i , |
---|
| 872 | G4double en0 ) |
---|
| 873 | { |
---|
[1196] | 874 | G4double x0,x1,y0,yy1,a,c,d,e0,result ; |
---|
[819] | 875 | |
---|
| 876 | e0 = en0 ; |
---|
| 877 | x0 = fSplineEnergy[i] ; |
---|
| 878 | x1 = fSplineEnergy[i+1] ; |
---|
| 879 | y0 = fDifPAIySection[i] ; |
---|
| 880 | yy1 = fDifPAIySection[i+1] ; |
---|
| 881 | |
---|
| 882 | c = x1/x0; |
---|
| 883 | d = e0/x0; |
---|
| 884 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
[1196] | 885 | |
---|
| 886 | G4double b = 0.0; |
---|
| 887 | if(a < 20.) b = y0/pow(x0,a) ; |
---|
[819] | 888 | |
---|
| 889 | a += 1 ; |
---|
| 890 | if(a == 0) |
---|
| 891 | { |
---|
| 892 | result = b*log(x0/e0) ; |
---|
| 893 | } |
---|
| 894 | else |
---|
| 895 | { |
---|
| 896 | result = y0*(x0 - e0*pow(d,a-1))/a ; |
---|
| 897 | } |
---|
| 898 | a++ ; |
---|
| 899 | if(a == 0) |
---|
| 900 | { |
---|
| 901 | fIntegralPAIySection[0] += b*log(x0/e0) ; |
---|
| 902 | } |
---|
| 903 | else |
---|
| 904 | { |
---|
| 905 | fIntegralPAIySection[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a ; |
---|
| 906 | } |
---|
| 907 | x0 = fSplineEnergy[i - 1] ; |
---|
| 908 | x1 = fSplineEnergy[i - 2] ; |
---|
| 909 | y0 = fDifPAIySection[i - 1] ; |
---|
| 910 | yy1 = fDifPAIySection[i - 2] ; |
---|
| 911 | |
---|
| 912 | c = x1/x0; |
---|
| 913 | d = e0/x0; |
---|
| 914 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
| 915 | // b0 = log10(y0) - a*log10(x0) ; |
---|
| 916 | b = y0/pow(x0,a) ; |
---|
| 917 | a += 1 ; |
---|
| 918 | if(a == 0) |
---|
| 919 | { |
---|
| 920 | result += b*log(e0/x0) ; |
---|
| 921 | } |
---|
| 922 | else |
---|
| 923 | { |
---|
| 924 | result += y0*(e0*pow(d,a-1) - x0)/a ; |
---|
| 925 | } |
---|
| 926 | a++ ; |
---|
| 927 | if(a == 0) |
---|
| 928 | { |
---|
| 929 | fIntegralPAIySection[0] += b*log(e0/x0) ; |
---|
| 930 | } |
---|
| 931 | else |
---|
| 932 | { |
---|
| 933 | fIntegralPAIySection[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a ; |
---|
| 934 | } |
---|
| 935 | return result ; |
---|
| 936 | |
---|
| 937 | } |
---|
| 938 | |
---|
| 939 | /////////////////////////////////////////////////////////////////////// |
---|
| 940 | |
---|
| 941 | G4double G4PAIySection::SumOverBorderdEdx( G4int i , |
---|
| 942 | G4double en0 ) |
---|
| 943 | { |
---|
[1196] | 944 | G4double x0,x1,y0,yy1,a,c,d,e0,result ; |
---|
[819] | 945 | |
---|
| 946 | e0 = en0 ; |
---|
| 947 | x0 = fSplineEnergy[i] ; |
---|
| 948 | x1 = fSplineEnergy[i+1] ; |
---|
| 949 | y0 = fDifPAIySection[i] ; |
---|
| 950 | yy1 = fDifPAIySection[i+1] ; |
---|
| 951 | |
---|
| 952 | c = x1/x0; |
---|
| 953 | d = e0/x0; |
---|
| 954 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
| 955 | |
---|
[1196] | 956 | G4double b = 0.0; |
---|
| 957 | if(a < 20.) b = y0/pow(x0,a) ; |
---|
| 958 | |
---|
[819] | 959 | a += 2 ; |
---|
| 960 | if(a == 0) |
---|
| 961 | { |
---|
| 962 | result = b*log(x0/e0) ; |
---|
| 963 | } |
---|
| 964 | else |
---|
| 965 | { |
---|
| 966 | result = y0*(x0*x0 - e0*e0*pow(d,a-2))/a ; |
---|
| 967 | } |
---|
| 968 | x0 = fSplineEnergy[i - 1] ; |
---|
| 969 | x1 = fSplineEnergy[i - 2] ; |
---|
| 970 | y0 = fDifPAIySection[i - 1] ; |
---|
| 971 | yy1 = fDifPAIySection[i - 2] ; |
---|
| 972 | |
---|
| 973 | c = x1/x0; |
---|
| 974 | d = e0/x0; |
---|
| 975 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
[1196] | 976 | |
---|
| 977 | if(a < 20.) b = y0/pow(x0,a) ; |
---|
| 978 | |
---|
[819] | 979 | a += 2 ; |
---|
| 980 | if(a == 0) |
---|
| 981 | { |
---|
| 982 | result += b*log(e0/x0) ; |
---|
| 983 | } |
---|
| 984 | else |
---|
| 985 | { |
---|
| 986 | result += y0*(e0*e0*pow(d,a-2) - x0*x0)/a ; |
---|
| 987 | } |
---|
| 988 | return result ; |
---|
| 989 | |
---|
| 990 | } |
---|
| 991 | |
---|
| 992 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 993 | // |
---|
| 994 | // Integration of Cerenkov cross-section for the case of |
---|
| 995 | // passing across border between intervals |
---|
| 996 | |
---|
| 997 | G4double G4PAIySection::SumOverBordCerenkov( G4int i , |
---|
| 998 | G4double en0 ) |
---|
| 999 | { |
---|
[1196] | 1000 | G4double x0,x1,y0,yy1,a,e0,c,d,result ; |
---|
[819] | 1001 | |
---|
| 1002 | e0 = en0 ; |
---|
| 1003 | x0 = fSplineEnergy[i] ; |
---|
| 1004 | x1 = fSplineEnergy[i+1] ; |
---|
| 1005 | y0 = fdNdxCerenkov[i] ; |
---|
| 1006 | yy1 = fdNdxCerenkov[i+1] ; |
---|
| 1007 | |
---|
| 1008 | // G4cout<<G4endl; |
---|
[1196] | 1009 | //G4cout<<"SumBordC, i = "<<i<<"; en0 = "<<en0<<"; x0 ="<<x0<<"; x1 = "<<x1 |
---|
[819] | 1010 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
| 1011 | c = x1/x0 ; |
---|
| 1012 | d = e0/x0 ; |
---|
| 1013 | a = log10(yy1/y0)/log10(c) ; |
---|
[1196] | 1014 | |
---|
| 1015 | G4double b = 0.0; |
---|
| 1016 | if(a < 20.) b = y0/pow(x0,a) ; |
---|
[819] | 1017 | |
---|
| 1018 | a += 1.0 ; |
---|
| 1019 | if( a == 0 ) result = b*log(x0/e0) ; |
---|
| 1020 | else result = y0*(x0 - e0*pow(d,a-1))/a ; |
---|
| 1021 | a += 1.0 ; |
---|
| 1022 | |
---|
| 1023 | if( a == 0 ) fIntegralCerenkov[0] += b*log(x0/e0) ; |
---|
| 1024 | else fIntegralCerenkov[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a ; |
---|
| 1025 | |
---|
[1196] | 1026 | //G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl; |
---|
[819] | 1027 | |
---|
| 1028 | x0 = fSplineEnergy[i - 1] ; |
---|
| 1029 | x1 = fSplineEnergy[i - 2] ; |
---|
| 1030 | y0 = fdNdxCerenkov[i - 1] ; |
---|
| 1031 | yy1 = fdNdxCerenkov[i - 2] ; |
---|
| 1032 | |
---|
[1196] | 1033 | //G4cout<<"x0 ="<<x0<<"; x1 = "<<x1 |
---|
[819] | 1034 | // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl; |
---|
| 1035 | |
---|
| 1036 | c = x1/x0 ; |
---|
| 1037 | d = e0/x0 ; |
---|
| 1038 | a = log10(yy1/y0)/log10(x1/x0) ; |
---|
[1196] | 1039 | |
---|
| 1040 | // G4cout << "a= " << a << G4endl; |
---|
| 1041 | if(a < 20.) b = y0/pow(x0,a) ; |
---|
[819] | 1042 | |
---|
[1196] | 1043 | if(a > 20.0) b = 0.0; |
---|
| 1044 | else b = y0/pow(x0,a); // pow(10.,b0) ; |
---|
| 1045 | |
---|
| 1046 | //G4cout << "b= " << b << G4endl; |
---|
| 1047 | |
---|
[819] | 1048 | a += 1.0 ; |
---|
| 1049 | if( a == 0 ) result += b*log(e0/x0) ; |
---|
| 1050 | else result += y0*(e0*pow(d,a-1) - x0 )/a ; |
---|
| 1051 | a += 1.0 ; |
---|
[1196] | 1052 | //G4cout << "result= " << result << G4endl; |
---|
[819] | 1053 | |
---|
| 1054 | if( a == 0 ) fIntegralCerenkov[0] += b*log(e0/x0) ; |
---|
| 1055 | else fIntegralCerenkov[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a ; |
---|
| 1056 | |
---|
[1196] | 1057 | //G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl; |
---|
[819] | 1058 | |
---|
| 1059 | return result ; |
---|
| 1060 | |
---|
| 1061 | } |
---|
| 1062 | |
---|
| 1063 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1064 | // |
---|
| 1065 | // Integration of Plasmon cross-section for the case of |
---|
| 1066 | // passing across border between intervals |
---|
| 1067 | |
---|
| 1068 | G4double G4PAIySection::SumOverBordPlasmon( G4int i , |
---|
| 1069 | G4double en0 ) |
---|
| 1070 | { |
---|
[1196] | 1071 | G4double x0,x1,y0,yy1,a,c,d,e0,result ; |
---|
[819] | 1072 | |
---|
| 1073 | e0 = en0 ; |
---|
| 1074 | x0 = fSplineEnergy[i] ; |
---|
| 1075 | x1 = fSplineEnergy[i+1] ; |
---|
| 1076 | y0 = fdNdxPlasmon[i] ; |
---|
| 1077 | yy1 = fdNdxPlasmon[i+1] ; |
---|
| 1078 | |
---|
| 1079 | c = x1/x0 ; |
---|
| 1080 | d = e0/x0 ; |
---|
| 1081 | a = log10(yy1/y0)/log10(c) ; |
---|
[1196] | 1082 | |
---|
| 1083 | G4double b = 0.0; |
---|
| 1084 | if(a < 20.) b = y0/pow(x0,a) ; |
---|
[819] | 1085 | |
---|
| 1086 | a += 1.0 ; |
---|
| 1087 | if( a == 0 ) result = b*log(x0/e0) ; |
---|
| 1088 | else result = y0*(x0 - e0*pow(d,a-1))/a ; |
---|
| 1089 | a += 1.0 ; |
---|
| 1090 | |
---|
| 1091 | if( a == 0 ) fIntegralPlasmon[0] += b*log(x0/e0) ; |
---|
| 1092 | else fIntegralPlasmon[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a ; |
---|
| 1093 | |
---|
| 1094 | x0 = fSplineEnergy[i - 1] ; |
---|
| 1095 | x1 = fSplineEnergy[i - 2] ; |
---|
| 1096 | y0 = fdNdxPlasmon[i - 1] ; |
---|
| 1097 | yy1 = fdNdxPlasmon[i - 2] ; |
---|
| 1098 | |
---|
| 1099 | c = x1/x0 ; |
---|
| 1100 | d = e0/x0 ; |
---|
| 1101 | a = log10(yy1/y0)/log10(c) ; |
---|
[1196] | 1102 | |
---|
| 1103 | if(a < 20.) b = y0/pow(x0,a) ; |
---|
[819] | 1104 | |
---|
| 1105 | a += 1.0 ; |
---|
| 1106 | if( a == 0 ) result += b*log(e0/x0) ; |
---|
| 1107 | else result += y0*(e0*pow(d,a-1) - x0)/a ; |
---|
| 1108 | a += 1.0 ; |
---|
| 1109 | |
---|
| 1110 | if( a == 0 ) fIntegralPlasmon[0] += b*log(e0/x0) ; |
---|
| 1111 | else fIntegralPlasmon[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a ; |
---|
| 1112 | |
---|
| 1113 | return result ; |
---|
| 1114 | |
---|
| 1115 | } |
---|
| 1116 | |
---|
| 1117 | ///////////////////////////////////////////////////////////////////////// |
---|
| 1118 | // |
---|
| 1119 | // |
---|
| 1120 | |
---|
| 1121 | G4double G4PAIySection::GetStepEnergyLoss( G4double step ) |
---|
| 1122 | { |
---|
| 1123 | G4int iTransfer ; |
---|
| 1124 | G4long numOfCollisions ; |
---|
| 1125 | G4double loss = 0.0 ; |
---|
| 1126 | G4double meanNumber, position ; |
---|
| 1127 | |
---|
| 1128 | // G4cout<<" G4PAIySection::GetStepEnergyLoss "<<G4endl ; |
---|
| 1129 | |
---|
| 1130 | |
---|
| 1131 | |
---|
| 1132 | meanNumber = fIntegralPAIySection[1]*step ; |
---|
| 1133 | numOfCollisions = G4Poisson(meanNumber) ; |
---|
| 1134 | |
---|
| 1135 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl ; |
---|
| 1136 | |
---|
| 1137 | while(numOfCollisions) |
---|
| 1138 | { |
---|
| 1139 | position = fIntegralPAIySection[1]*G4UniformRand() ; |
---|
| 1140 | |
---|
| 1141 | for( iTransfer=1 ; iTransfer<=fSplineNumber ; iTransfer++ ) |
---|
| 1142 | { |
---|
| 1143 | if( position >= fIntegralPAIySection[iTransfer] ) break ; |
---|
| 1144 | } |
---|
| 1145 | loss += fSplineEnergy[iTransfer] ; |
---|
| 1146 | numOfCollisions-- ; |
---|
| 1147 | } |
---|
| 1148 | // G4cout<<"PAI energy loss = "<<loss/keV<<" keV"<<G4endl ; |
---|
| 1149 | |
---|
| 1150 | return loss ; |
---|
| 1151 | } |
---|
| 1152 | |
---|
| 1153 | ///////////////////////////////////////////////////////////////////////// |
---|
| 1154 | // |
---|
| 1155 | // |
---|
| 1156 | |
---|
| 1157 | G4double G4PAIySection::GetStepCerenkovLoss( G4double step ) |
---|
| 1158 | { |
---|
| 1159 | G4int iTransfer ; |
---|
| 1160 | G4long numOfCollisions ; |
---|
| 1161 | G4double loss = 0.0 ; |
---|
| 1162 | G4double meanNumber, position ; |
---|
| 1163 | |
---|
| 1164 | // G4cout<<" G4PAIySection::GetStepCreLosnkovs "<<G4endl ; |
---|
| 1165 | |
---|
| 1166 | |
---|
| 1167 | |
---|
| 1168 | meanNumber = fIntegralCerenkov[1]*step ; |
---|
| 1169 | numOfCollisions = G4Poisson(meanNumber) ; |
---|
| 1170 | |
---|
| 1171 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl ; |
---|
| 1172 | |
---|
| 1173 | while(numOfCollisions) |
---|
| 1174 | { |
---|
| 1175 | position = fIntegralCerenkov[1]*G4UniformRand() ; |
---|
| 1176 | |
---|
| 1177 | for( iTransfer=1 ; iTransfer<=fSplineNumber ; iTransfer++ ) |
---|
| 1178 | { |
---|
| 1179 | if( position >= fIntegralCerenkov[iTransfer] ) break ; |
---|
| 1180 | } |
---|
| 1181 | loss += fSplineEnergy[iTransfer] ; |
---|
| 1182 | numOfCollisions-- ; |
---|
| 1183 | } |
---|
| 1184 | // G4cout<<"PAI Cerenkov loss = "<<loss/keV<<" keV"<<G4endl ; |
---|
| 1185 | |
---|
| 1186 | return loss ; |
---|
| 1187 | } |
---|
| 1188 | |
---|
| 1189 | ///////////////////////////////////////////////////////////////////////// |
---|
| 1190 | // |
---|
| 1191 | // |
---|
| 1192 | |
---|
| 1193 | G4double G4PAIySection::GetStepPlasmonLoss( G4double step ) |
---|
| 1194 | { |
---|
| 1195 | G4int iTransfer ; |
---|
| 1196 | G4long numOfCollisions ; |
---|
| 1197 | G4double loss = 0.0 ; |
---|
| 1198 | G4double meanNumber, position ; |
---|
| 1199 | |
---|
| 1200 | // G4cout<<" G4PAIySection::GetStepCreLosnkovs "<<G4endl ; |
---|
| 1201 | |
---|
| 1202 | |
---|
| 1203 | |
---|
| 1204 | meanNumber = fIntegralPlasmon[1]*step ; |
---|
| 1205 | numOfCollisions = G4Poisson(meanNumber) ; |
---|
| 1206 | |
---|
| 1207 | // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl ; |
---|
| 1208 | |
---|
| 1209 | while(numOfCollisions) |
---|
| 1210 | { |
---|
| 1211 | position = fIntegralPlasmon[1]*G4UniformRand() ; |
---|
| 1212 | |
---|
| 1213 | for( iTransfer=1 ; iTransfer<=fSplineNumber ; iTransfer++ ) |
---|
| 1214 | { |
---|
| 1215 | if( position >= fIntegralPlasmon[iTransfer] ) break ; |
---|
| 1216 | } |
---|
| 1217 | loss += fSplineEnergy[iTransfer] ; |
---|
| 1218 | numOfCollisions-- ; |
---|
| 1219 | } |
---|
| 1220 | // G4cout<<"PAI Plasmon loss = "<<loss/keV<<" keV"<<G4endl ; |
---|
| 1221 | |
---|
| 1222 | return loss ; |
---|
| 1223 | } |
---|
| 1224 | |
---|
| 1225 | |
---|
| 1226 | |
---|
| 1227 | ///////////////////////////////////////////////////////////////////////////// |
---|
| 1228 | // |
---|
| 1229 | // Init array of Lorentz factors |
---|
| 1230 | // |
---|
| 1231 | |
---|
| 1232 | G4int G4PAIySection::fNumberOfGammas = 111 ; |
---|
| 1233 | |
---|
| 1234 | const G4double G4PAIySection::fLorentzFactor[112] = // fNumberOfGammas+1 |
---|
| 1235 | { |
---|
| 1236 | 0.0, |
---|
| 1237 | 1.094989e+00, 1.107813e+00, 1.122369e+00, 1.138890e+00, 1.157642e+00, |
---|
| 1238 | 1.178925e+00, 1.203082e+00, 1.230500e+00, 1.261620e+00, 1.296942e+00, // 10 |
---|
| 1239 | 1.337032e+00, 1.382535e+00, 1.434181e+00, 1.492800e+00, 1.559334e+00, |
---|
| 1240 | 1.634850e+00, 1.720562e+00, 1.817845e+00, 1.928263e+00, 2.053589e+00, // 20 |
---|
| 1241 | 2.195835e+00, 2.357285e+00, 2.540533e+00, 2.748522e+00, 2.984591e+00, |
---|
| 1242 | 3.252533e+00, 3.556649e+00, 3.901824e+00, 4.293602e+00, 4.738274e+00, // 30 |
---|
| 1243 | 5.242981e+00, 5.815829e+00, 6.466019e+00, 7.203990e+00, 8.041596e+00, |
---|
| 1244 | 8.992288e+00, 1.007133e+01, 1.129606e+01, 1.268614e+01, 1.426390e+01, // 40 |
---|
| 1245 | 1.605467e+01, 1.808721e+01, 2.039417e+01, 2.301259e+01, 2.598453e+01, |
---|
| 1246 | 2.935771e+01, 3.318630e+01, 3.753180e+01, 4.246399e+01, 4.806208e+01, // 50 |
---|
| 1247 | 5.441597e+01, 6.162770e+01, 6.981310e+01, 7.910361e+01, 8.964844e+01, |
---|
| 1248 | 1.016169e+02, 1.152013e+02, 1.306197e+02, 1.481198e+02, 1.679826e+02, // 60 |
---|
| 1249 | 1.905270e+02, 2.161152e+02, 2.451581e+02, 2.781221e+02, 3.155365e+02, |
---|
| 1250 | 3.580024e+02, 4.062016e+02, 4.609081e+02, 5.230007e+02, 5.934765e+02, // 70 |
---|
| 1251 | 6.734672e+02, 7.642575e+02, 8.673056e+02, 9.842662e+02, 1.117018e+03, |
---|
| 1252 | 1.267692e+03, 1.438709e+03, 1.632816e+03, 1.853128e+03, 2.103186e+03, // 80 |
---|
| 1253 | 2.387004e+03, 2.709140e+03, 3.074768e+03, 3.489760e+03, 3.960780e+03, |
---|
| 1254 | 4.495394e+03, 5.102185e+03, 5.790900e+03, 6.572600e+03, 7.459837e+03, // 90 |
---|
| 1255 | 8.466860e+03, 9.609843e+03, 1.090714e+04, 1.237959e+04, 1.405083e+04, |
---|
| 1256 | 1.594771e+04, 1.810069e+04, 2.054434e+04, 2.331792e+04, 2.646595e+04, // 100 |
---|
| 1257 | 3.003901e+04, 3.409446e+04, 3.869745e+04, 4.392189e+04, 4.985168e+04, |
---|
| 1258 | 5.658206e+04, 6.422112e+04, 7.289153e+04, 8.273254e+04, 9.390219e+04, // 110 |
---|
| 1259 | 1.065799e+05 |
---|
| 1260 | } ; |
---|
| 1261 | |
---|
| 1262 | /////////////////////////////////////////////////////////////////////// |
---|
| 1263 | // |
---|
| 1264 | // The number of gamma for creation of spline (near ion-min , G ~ 4 ) |
---|
| 1265 | // |
---|
| 1266 | |
---|
| 1267 | const |
---|
| 1268 | G4int G4PAIySection::fRefGammaNumber = 29 ; |
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| 1269 | |
---|
| 1270 | |
---|
| 1271 | // |
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| 1272 | // end of G4PAIySection implementation file |
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| 1273 | // |
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| 1274 | //////////////////////////////////////////////////////////////////////////// |
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| 1275 | |
---|