| 1 | //
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| 2 | // ********************************************************************
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| 3 | // * License and Disclaimer *
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| 4 | // * *
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of *
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and *
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| 7 | // * conditions of the Geant4 Software License, included in the file *
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These *
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| 9 | // * include a list of copyright holders. *
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| 10 | // * *
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| 11 | // * Neither the authors of this software system, nor their employing *
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| 12 | // * institutes,nor the agencies providing financial support for this *
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| 13 | // * work make any representation or warranty, express or implied, *
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| 14 | // * regarding this software system or assume any liability for its *
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| 15 | // * use. Please see the license in the file LICENSE and URL above *
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| 16 | // * for the full disclaimer and the limitation of liability. *
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| 17 | // * *
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| 18 | // * This code implementation is the result of the scientific and *
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| 19 | // * technical work of the GEANT4 collaboration. *
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| 20 | // * By using, copying, modifying or distributing the software (or *
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| 21 | // * any work based on the software) you agree to acknowledge its *
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| 22 | // * use in resulting scientific publications, and indicate your *
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| 23 | // * acceptance of all terms of the Geant4 Software license. *
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| 24 | // ********************************************************************
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| 25 | //
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| 26 | // $Id: G4mplIonisationModel.cc,v 1.7 2009/04/12 17:35:41 vnivanch Exp $
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| 27 | // GEANT4 tag $Name: geant4-09-03-beta-cand-01 $
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| 28 | //
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| 29 | // -------------------------------------------------------------------
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| 30 | //
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| 31 | // GEANT4 Class header file
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| 32 | //
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| 33 | //
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| 34 | // File name: G4mplIonisationModel
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| 35 | //
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| 36 | // Author: Vladimir Ivanchenko
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| 37 | //
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| 38 | // Creation date: 06.09.2005
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| 39 | //
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| 40 | // Modifications:
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| 41 | // 12.08.2007 Changing low energy approximation and extrapolation.
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| 42 | // Small bug fixing and refactoring (M. Vladymyrov)
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| 43 | // 13.11.2007 Use low-energy asymptotic from [3] (V.Ivanchenko)
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| 44 | //
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| 45 | //
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| 46 | // -------------------------------------------------------------------
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| 47 | // References
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| 48 | // [1] Steven P. Ahlen: Energy loss of relativistic heavy ionizing particles,
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| 49 | // S.P. Ahlen, Rev. Mod. Phys 52(1980), p121
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| 50 | // [2] K.A. Milton arXiv:hep-ex/0602040
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| 51 | // [3] S.P. Ahlen and K. Kinoshita, Phys. Rev. D26 (1982) 2347
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| 52 |
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| 53 |
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| 54 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 55 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 56 |
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| 57 | #include "G4mplIonisationModel.hh"
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| 58 | #include "Randomize.hh"
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| 59 | #include "G4LossTableManager.hh"
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| 60 | #include "G4ParticleChangeForLoss.hh"
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| 61 |
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| 62 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 63 |
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| 64 | using namespace std;
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| 65 |
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| 66 | G4mplIonisationModel::G4mplIonisationModel(G4double mCharge, const G4String& nam)
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| 67 | : G4VEmModel(nam),G4VEmFluctuationModel(nam),
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| 68 | magCharge(mCharge),
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| 69 | twoln10(log(100.0)),
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| 70 | betalow(0.01),
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| 71 | betalim(0.1),
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| 72 | beta2lim(betalim*betalim),
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| 73 | bg2lim(beta2lim*(1.0 + beta2lim))
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| 74 | {
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| 75 | nmpl = G4int(abs(magCharge) * 2 * fine_structure_const + 0.5);
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| 76 | if(nmpl > 6) nmpl = 6;
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| 77 | else if(nmpl < 1) nmpl = 1;
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| 78 | pi_hbarc2_over_mc2 = pi * hbarc * hbarc / electron_mass_c2;
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| 79 | chargeSquare = magCharge * magCharge;
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| 80 | dedxlim = 45.*nmpl*nmpl*GeV*cm2/g;
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| 81 | fParticleChange = 0;
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| 82 | }
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| 83 |
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| 84 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 85 |
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| 86 | G4mplIonisationModel::~G4mplIonisationModel()
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| 87 | {}
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| 88 |
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| 89 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 90 |
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| 91 | void G4mplIonisationModel::Initialise(const G4ParticleDefinition* p,
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| 92 | const G4DataVector&)
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| 93 | {
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| 94 | monopole = p;
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| 95 | mass = monopole->GetPDGMass();
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| 96 | if(!fParticleChange) fParticleChange = GetParticleChangeForLoss();
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| 97 | }
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| 98 |
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| 99 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 100 |
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| 101 | G4double G4mplIonisationModel::ComputeDEDXPerVolume(const G4Material* material,
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| 102 | const G4ParticleDefinition*,
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| 103 | G4double kineticEnergy,
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| 104 | G4double)
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| 105 | {
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| 106 | G4double tau = kineticEnergy / mass;
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| 107 | G4double gam = tau + 1.0;
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| 108 | G4double bg2 = tau * (tau + 2.0);
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| 109 | G4double beta2 = bg2 / (gam * gam);
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| 110 | G4double beta = sqrt(beta2);
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| 111 |
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| 112 | // low-energy asymptotic formula
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| 113 | G4double dedx = dedxlim*beta*material->GetDensity();
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| 114 |
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| 115 | // above asymptotic
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| 116 | if(beta > betalow) {
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| 117 |
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| 118 | // high energy
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| 119 | if(beta >= betalim) {
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| 120 | dedx = ComputeDEDXAhlen(material, bg2);
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| 121 |
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| 122 | } else {
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| 123 |
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| 124 | G4double dedx1 = dedxlim*betalow*material->GetDensity();
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| 125 | G4double dedx2 = ComputeDEDXAhlen(material, bg2lim);
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| 126 |
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| 127 | // extrapolation between two formula
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| 128 | G4double kapa2 = beta - betalow;
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| 129 | G4double kapa1 = betalim - beta;
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| 130 | dedx = (kapa1*dedx1 + kapa2*dedx2)/(kapa1 + kapa2);
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| 131 | }
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| 132 | }
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| 133 | return dedx;
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| 134 | }
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| 135 |
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| 136 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 137 |
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| 138 | G4double G4mplIonisationModel::ComputeDEDXAhlen(const G4Material* material,
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| 139 | G4double bg2)
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| 140 | {
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| 141 | G4double eDensity = material->GetElectronDensity();
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| 142 | G4double eexc = material->GetIonisation()->GetMeanExcitationEnergy();
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| 143 | G4double cden = material->GetIonisation()->GetCdensity();
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| 144 | G4double mden = material->GetIonisation()->GetMdensity();
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| 145 | G4double aden = material->GetIonisation()->GetAdensity();
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| 146 | G4double x0den = material->GetIonisation()->GetX0density();
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| 147 | G4double x1den = material->GetIonisation()->GetX1density();
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| 148 |
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| 149 | // Ahlen's formula for nonconductors, [1]p157, f(5.7)
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| 150 | G4double dedx = log(2.0 * electron_mass_c2 * bg2 / eexc) - 0.5;
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| 151 |
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| 152 | // Kazama et al. cross-section correction
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| 153 | G4double k = 0.406;
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| 154 | if(nmpl > 1) k = 0.346;
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| 155 |
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| 156 | // Bloch correction
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| 157 | const G4double B[7] = { 0.0, 0.248, 0.672, 1.022, 1.243, 1.464, 1.685};
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| 158 |
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| 159 | dedx += 0.5 * k - B[nmpl];
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| 160 |
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| 161 | // density effect correction
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| 162 | G4double deltam;
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| 163 | G4double x = log(bg2) / twoln10;
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| 164 | if ( x >= x0den ) {
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| 165 | deltam = twoln10 * x - cden;
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| 166 | if ( x < x1den ) deltam += aden * pow((x1den-x), mden);
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| 167 | dedx -= 0.5 * deltam;
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| 168 | }
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| 169 |
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| 170 | // now compute the total ionization loss
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| 171 | dedx *= pi_hbarc2_over_mc2 * eDensity * nmpl * nmpl;
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| 172 |
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| 173 | if (dedx < 0.0) dedx = 0;
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| 174 | return dedx;
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| 175 | }
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| 176 |
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| 177 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 178 |
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| 179 | void G4mplIonisationModel::SampleSecondaries(std::vector<G4DynamicParticle*>*,
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| 180 | const G4MaterialCutsCouple*,
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| 181 | const G4DynamicParticle*,
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| 182 | G4double,
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| 183 | G4double)
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| 184 | {}
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| 185 |
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| 186 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 187 |
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| 188 | G4double G4mplIonisationModel::SampleFluctuations(
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| 189 | const G4Material* material,
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| 190 | const G4DynamicParticle* dp,
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| 191 | G4double& tmax,
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| 192 | G4double& length,
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| 193 | G4double& meanLoss)
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| 194 | {
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| 195 | G4double siga = Dispersion(material,dp,tmax,length);
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| 196 | G4double loss = meanLoss;
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| 197 | siga = sqrt(siga);
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| 198 | G4double twomeanLoss = meanLoss + meanLoss;
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| 199 |
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| 200 | if(twomeanLoss < siga) {
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| 201 | G4double x;
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| 202 | do {
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| 203 | loss = twomeanLoss*G4UniformRand();
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| 204 | x = (loss - meanLoss)/siga;
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| 205 | } while (1.0 - 0.5*x*x < G4UniformRand());
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| 206 | } else {
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| 207 | do {
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| 208 | loss = G4RandGauss::shoot(meanLoss,siga);
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| 209 | } while (0.0 > loss || loss > twomeanLoss);
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| 210 | }
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| 211 | return loss;
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| 212 | }
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| 213 |
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| 214 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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| 215 |
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| 216 | G4double G4mplIonisationModel::Dispersion(const G4Material* material,
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| 217 | const G4DynamicParticle* dp,
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| 218 | G4double& tmax,
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| 219 | G4double& length)
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| 220 | {
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| 221 | G4double siga = 0.0;
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| 222 | G4double tau = dp->GetKineticEnergy()/mass;
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| 223 | if(tau > 0.0) {
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| 224 | G4double electronDensity = material->GetElectronDensity();
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| 225 | G4double gam = tau + 1.0;
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| 226 | G4double invbeta2 = (gam*gam)/(tau * (tau+2.0));
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| 227 | siga = (invbeta2 - 0.5) * twopi_mc2_rcl2 * tmax * length
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| 228 | * electronDensity * chargeSquare;
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| 229 | }
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| 230 | return siga;
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| 231 | }
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| 232 |
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| 233 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
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