Gabriele Cosmo
2183 lines
64 KiB
C++
2183 lines
64 KiB
C++
//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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//
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// $Id: G4PAIxSection.cc,v 1.24 2008/05/30 16:04:40 grichine Exp $
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// GEANT4 tag $Name: geant4-09-02 $
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//
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//
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// G4PAIxSection.cc -- class implementation file
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//
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// GEANT 4 class implementation file
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//
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// For information related to this code, please, contact
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// the Geant4 Collaboration.
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//
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// R&D: Vladimir.Grichine@cern.ch
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//
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// History:
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//
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// 13.05.03 V. Grichine, bug fixed for maxEnergyTransfer > max interval energy
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// 28.05.01 V.Ivanchenko minor changes to provide ANSI -wall compilation
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// 17.05.01 V. Grichine, low energy extension down to 10*keV of proton
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// 20.11.98 adapted to a new Material/SandiaTable interface, mma
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// 11.06.97 V. Grichine, 1st version
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//
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#include "G4PAIxSection.hh"
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#include "globals.hh"
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#include "G4ios.hh"
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#include "G4Poisson.hh"
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#include "G4Material.hh"
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#include "G4MaterialCutsCouple.hh"
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#include "G4SandiaTable.hh"
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using namespace std;
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/* ******************************************************************
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// Init array of Lorentz factors
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const G4double G4PAIxSection::fLorentzFactor[22] =
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{
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0.0 , 1.1 , 1.2 , 1.3 , 1.5 , 1.8 , 2.0 ,
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2.5 , 3.0 , 4.0 , 7.0 , 10.0 , 20.0 , 40.0 ,
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70.0 , 100.0 , 300.0 , 600.0 , 1000.0 , 3000.0 ,
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10000.0 , 50000.0
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};
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const G4int G4PAIxSection::
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fRefGammaNumber = 29; // The number of gamma for creation of
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// spline (9)
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***************************************************************** */
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// Local class constants
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const G4double G4PAIxSection::fDelta = 0.005; // energy shift from interval border
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const G4double G4PAIxSection::fError = 0.005; // error in lin-log approximation
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const G4int G4PAIxSection::fMaxSplineSize = 500; // Max size of output spline
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// arrays
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//////////////////////////////////////////////////////////////////
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//
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// Constructor
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//
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G4PAIxSection::G4PAIxSection(G4MaterialCutsCouple* matCC)
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{
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fDensity = matCC->GetMaterial()->GetDensity();
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G4int matIndex = matCC->GetMaterial()->GetIndex();
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fMaterialIndex = matIndex;
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fSandia = new G4SandiaTable(matIndex);
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G4int i, j;
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fMatSandiaMatrix = new G4OrderedTable();
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for (i = 0; i < fSandia->GetMaxInterval()-1; i++)
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{
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fMatSandiaMatrix->push_back(new G4DataVector(5,0.));
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}
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for (i = 0; i < fSandia->GetMaxInterval()-1; i++)
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{
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(*(*fMatSandiaMatrix)[i])[0] = fSandia->GetSandiaMatTable(i,0);
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for(j = 1; j < 5; j++)
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{
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(*(*fMatSandiaMatrix)[i])[j] = fSandia->GetSandiaMatTable(i,j)*fDensity;
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}
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}
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}
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////////////////////////////////////////////////////////////////
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G4PAIxSection::G4PAIxSection(G4int materialIndex,
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G4double maxEnergyTransfer)
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{
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const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
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G4int i, j;
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fMaterialIndex = materialIndex;
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fDensity = (*theMaterialTable)[materialIndex]->GetDensity();
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fElectronDensity = (*theMaterialTable)[materialIndex]->
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GetElectronDensity();
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fIntervalNumber = (*theMaterialTable)[materialIndex]->
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GetSandiaTable()->GetMatNbOfIntervals();
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fIntervalNumber--;
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// G4cout<<fDensity<<"\t"<<fElectronDensity<<"\t"<<fIntervalNumber<<G4endl;
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fEnergyInterval = new G4double[fIntervalNumber+2];
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fA1 = new G4double[fIntervalNumber+2];
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fA2 = new G4double[fIntervalNumber+2];
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fA3 = new G4double[fIntervalNumber+2];
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fA4 = new G4double[fIntervalNumber+2];
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for(i = 1; i <= fIntervalNumber; i++ )
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{
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if(((*theMaterialTable)[materialIndex]->
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GetSandiaTable()->GetSandiaCofForMaterial(i-1,0) >= maxEnergyTransfer) ||
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i > fIntervalNumber )
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{
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fEnergyInterval[i] = maxEnergyTransfer;
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fIntervalNumber = i;
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break;
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}
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fEnergyInterval[i] = (*theMaterialTable)[materialIndex]->
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GetSandiaTable()->GetSandiaCofForMaterial(i-1,0);
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fA1[i] = (*theMaterialTable)[materialIndex]->
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GetSandiaTable()->GetSandiaCofForMaterial(i-1,1);
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fA2[i] = (*theMaterialTable)[materialIndex]->
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GetSandiaTable()->GetSandiaCofForMaterial(i-1,2);
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fA3[i] = (*theMaterialTable)[materialIndex]->
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GetSandiaTable()->GetSandiaCofForMaterial(i-1,3);
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fA4[i] = (*theMaterialTable)[materialIndex]->
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GetSandiaTable()->GetSandiaCofForMaterial(i-1,4);
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// G4cout<<i<<"\t"<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
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// <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
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}
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if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer)
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{
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fIntervalNumber++;
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fEnergyInterval[fIntervalNumber] = maxEnergyTransfer;
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}
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// Now checking, if two borders are too close together
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for(i=1;i<fIntervalNumber;i++)
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{
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if(fEnergyInterval[i+1]-fEnergyInterval[i] >
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1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i]))
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{
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continue;
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}
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else
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{
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for(j=i;j<fIntervalNumber;j++)
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{
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fEnergyInterval[j] = fEnergyInterval[j+1];
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fA1[j] = fA1[j+1];
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fA2[j] = fA2[j+1];
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fA3[j] = fA3[j+1];
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fA4[j] = fA4[j+1];
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}
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fIntervalNumber--;
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i--;
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}
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}
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/* *********************************
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fSplineEnergy = new G4double[fMaxSplineSize];
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fRePartDielectricConst = new G4double[fMaxSplineSize];
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fImPartDielectricConst = new G4double[fMaxSplineSize];
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fIntegralTerm = new G4double[fMaxSplineSize];
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fDifPAIxSection = new G4double[fMaxSplineSize];
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fIntegralPAIxSection = new G4double[fMaxSplineSize];
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for(i=0;i<fMaxSplineSize;i++)
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{
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fSplineEnergy[i] = 0.0;
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fRePartDielectricConst[i] = 0.0;
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fImPartDielectricConst[i] = 0.0;
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fIntegralTerm[i] = 0.0;
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fDifPAIxSection[i] = 0.0;
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fIntegralPAIxSection[i] = 0.0;
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}
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************************************************** */
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InitPAI(); // create arrays allocated above
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delete[] fEnergyInterval;
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delete[] fA1;
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delete[] fA2;
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delete[] fA3;
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delete[] fA4;
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}
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////////////////////////////////////////////////////////////////////////
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//
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// Constructor with beta*gamma square value
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G4PAIxSection::G4PAIxSection( G4int materialIndex,
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G4double maxEnergyTransfer,
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G4double betaGammaSq,
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G4double** photoAbsCof,
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G4int intNumber )
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{
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const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
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G4int i, j;
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fMaterialIndex = materialIndex;
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fDensity = (*theMaterialTable)[materialIndex]->GetDensity();
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fElectronDensity = (*theMaterialTable)[materialIndex]->
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GetElectronDensity();
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fIntervalNumber = intNumber;
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fIntervalNumber--;
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// G4cout<<fDensity<<"\t"<<fElectronDensity<<"\t"<<fIntervalNumber<<G4endl;
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fEnergyInterval = new G4double[fIntervalNumber+2];
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fA1 = new G4double[fIntervalNumber+2];
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fA2 = new G4double[fIntervalNumber+2];
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fA3 = new G4double[fIntervalNumber+2];
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fA4 = new G4double[fIntervalNumber+2];
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for( i = 1; i <= fIntervalNumber; i++ )
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{
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if( ( photoAbsCof[i-1][0] >= maxEnergyTransfer ) ||
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i > fIntervalNumber )
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{
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fEnergyInterval[i] = maxEnergyTransfer;
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fIntervalNumber = i;
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break;
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}
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fEnergyInterval[i] = photoAbsCof[i-1][0];
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fA1[i] = photoAbsCof[i-1][1];
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fA2[i] = photoAbsCof[i-1][2];
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fA3[i] = photoAbsCof[i-1][3];
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fA4[i] = photoAbsCof[i-1][4];
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// G4cout<<i<<"\t"<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
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// <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
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}
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// G4cout<<"i last = "<<i<<"; "<<"fIntervalNumber = "<<fIntervalNumber<<G4endl;
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if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer)
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{
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fIntervalNumber++;
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fEnergyInterval[fIntervalNumber] = maxEnergyTransfer;
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}
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for(i=1;i<=fIntervalNumber;i++)
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{
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// G4cout<<i<<"\t"<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
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// <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
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}
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// Now checking, if two borders are too close together
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for( i = 1; i < fIntervalNumber; i++ )
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{
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if(fEnergyInterval[i+1]-fEnergyInterval[i] >
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1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i]))
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{
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continue;
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}
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else
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{
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for(j=i;j<fIntervalNumber;j++)
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{
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fEnergyInterval[j] = fEnergyInterval[j+1];
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fA1[j] = fA1[j+1];
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fA2[j] = fA2[j+1];
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fA3[j] = fA3[j+1];
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fA4[j] = fA4[j+1];
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}
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fIntervalNumber--;
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i--;
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}
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}
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// Preparation of fSplineEnergy array corresponding to min ionisation, G~4
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G4double betaGammaSqRef =
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fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1;
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NormShift(betaGammaSqRef);
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SplainPAI(betaGammaSqRef);
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// Preparation of integral PAI cross section for input betaGammaSq
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for(i = 1; i <= fSplineNumber; i++)
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{
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fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
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fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq);
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fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
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fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq);
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fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq);
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// G4cout<<i<<"; dNdxC = "<<fdNdxCerenkov[i]<<"; dNdxP = "<<fdNdxPlasmon[i]
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// <<"; dNdxPAI = "<<fDifPAIxSection[i]<<G4endl;
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}
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IntegralCerenkov();
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IntegralMM();
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IntegralPlasmon();
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IntegralResonance();
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IntegralPAIxSection();
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delete[] fEnergyInterval;
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delete[] fA1;
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delete[] fA2;
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delete[] fA3;
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delete[] fA4;
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}
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////////////////////////////////////////////////////////////////////////
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//
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// Test Constructor with beta*gamma square value
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G4PAIxSection::G4PAIxSection( G4int materialIndex,
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G4double maxEnergyTransfer,
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G4double betaGammaSq )
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{
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const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
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G4int i, j, numberOfElements;
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fMaterialIndex = materialIndex;
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fDensity = (*theMaterialTable)[materialIndex]->GetDensity();
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fElectronDensity = (*theMaterialTable)[materialIndex]->GetElectronDensity();
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numberOfElements = (*theMaterialTable)[materialIndex]->GetNumberOfElements();
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G4int* thisMaterialZ = new G4int[numberOfElements];
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for( i = 0; i < numberOfElements; i++ )
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{
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thisMaterialZ[i] = (G4int)(*theMaterialTable)[materialIndex]->
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GetElement(i)->GetZ();
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}
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// fSandia = new G4SandiaTable(materialIndex);
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fSandia = (*theMaterialTable)[materialIndex]->
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GetSandiaTable();
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G4SandiaTable thisMaterialSandiaTable(materialIndex);
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fIntervalNumber = thisMaterialSandiaTable.SandiaIntervals
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(thisMaterialZ,numberOfElements);
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fIntervalNumber = thisMaterialSandiaTable.SandiaMixing
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( thisMaterialZ ,
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(*theMaterialTable)[materialIndex]->GetFractionVector() ,
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numberOfElements,fIntervalNumber);
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fIntervalNumber--;
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fEnergyInterval = new G4double[fIntervalNumber+2];
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fA1 = new G4double[fIntervalNumber+2];
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fA2 = new G4double[fIntervalNumber+2];
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fA3 = new G4double[fIntervalNumber+2];
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fA4 = new G4double[fIntervalNumber+2];
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for( i = 1; i <= fIntervalNumber; i++ )
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{
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if((thisMaterialSandiaTable.GetPhotoAbsorpCof(i,0) >= maxEnergyTransfer) ||
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i > fIntervalNumber)
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{
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fEnergyInterval[i] = maxEnergyTransfer;
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fIntervalNumber = i;
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break;
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}
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fEnergyInterval[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,0);
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fA1[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,1)*fDensity;
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fA2[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,2)*fDensity;
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fA3[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,3)*fDensity;
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fA4[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,4)*fDensity;
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}
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if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer)
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{
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fIntervalNumber++;
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fEnergyInterval[fIntervalNumber] = maxEnergyTransfer;
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fA1[fIntervalNumber] = fA1[fIntervalNumber-1];
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fA2[fIntervalNumber] = fA2[fIntervalNumber-1];
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fA3[fIntervalNumber] = fA3[fIntervalNumber-1];
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fA4[fIntervalNumber] = fA4[fIntervalNumber-1];
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}
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for(i=1;i<=fIntervalNumber;i++)
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{
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// G4cout<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
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// <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
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}
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// Now checking, if two borders are too close together
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for( i = 1; i < fIntervalNumber; i++ )
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{
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if(fEnergyInterval[i+1]-fEnergyInterval[i] >
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1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i]))
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{
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continue;
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}
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else
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{
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for( j = i; j < fIntervalNumber; j++ )
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{
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fEnergyInterval[j] = fEnergyInterval[j+1];
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fA1[j] = fA1[j+1];
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fA2[j] = fA2[j+1];
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fA3[j] = fA3[j+1];
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fA4[j] = fA4[j+1];
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}
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fIntervalNumber--;
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i--;
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}
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}
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/* *********************************
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fSplineEnergy = new G4double[fMaxSplineSize];
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fRePartDielectricConst = new G4double[fMaxSplineSize];
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fImPartDielectricConst = new G4double[fMaxSplineSize];
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fIntegralTerm = new G4double[fMaxSplineSize];
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fDifPAIxSection = new G4double[fMaxSplineSize];
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fIntegralPAIxSection = new G4double[fMaxSplineSize];
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for(i=0;i<fMaxSplineSize;i++)
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{
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fSplineEnergy[i] = 0.0;
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fRePartDielectricConst[i] = 0.0;
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fImPartDielectricConst[i] = 0.0;
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fIntegralTerm[i] = 0.0;
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fDifPAIxSection[i] = 0.0;
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fIntegralPAIxSection[i] = 0.0;
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}
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*/ ////////////////////////
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// Preparation of fSplineEnergy array corresponding to min ionisation, G~4
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G4double betaGammaSqRef =
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fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1;
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NormShift(betaGammaSqRef);
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SplainPAI(betaGammaSqRef);
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// Preparation of integral PAI cross section for input betaGammaSq
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for(i = 1; i <= fSplineNumber; i++)
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{
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fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq);
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fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
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fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq);
|
|
fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
|
|
fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq);
|
|
}
|
|
IntegralPAIxSection();
|
|
IntegralCerenkov();
|
|
IntegralMM();
|
|
IntegralPlasmon();
|
|
IntegralResonance();
|
|
|
|
// delete[] fEnergyInterval;
|
|
delete[] fA1;
|
|
delete[] fA2;
|
|
delete[] fA3;
|
|
delete[] fA4;
|
|
}
|
|
|
|
|
|
////////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Destructor
|
|
|
|
G4PAIxSection::~G4PAIxSection()
|
|
{
|
|
/* ************************
|
|
delete[] fSplineEnergy ;
|
|
delete[] fRePartDielectricConst;
|
|
delete[] fImPartDielectricConst;
|
|
delete[] fIntegralTerm ;
|
|
delete[] fDifPAIxSection ;
|
|
delete[] fIntegralPAIxSection ;
|
|
*/ ////////////////////////
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// General control function for class G4PAIxSection
|
|
//
|
|
|
|
void G4PAIxSection::InitPAI()
|
|
{
|
|
G4int i;
|
|
G4double betaGammaSq = fLorentzFactor[fRefGammaNumber]*
|
|
fLorentzFactor[fRefGammaNumber] - 1;
|
|
|
|
// Preparation of integral PAI cross section for reference gamma
|
|
|
|
NormShift(betaGammaSq);
|
|
SplainPAI(betaGammaSq);
|
|
|
|
IntegralPAIxSection();
|
|
IntegralCerenkov();
|
|
IntegralMM();
|
|
IntegralPlasmon();
|
|
IntegralResonance();
|
|
|
|
for(i = 0; i<= fSplineNumber; i++)
|
|
{
|
|
fPAItable[i][fRefGammaNumber] = fIntegralPAIxSection[i];
|
|
if(i != 0)
|
|
{
|
|
fPAItable[i][0] = fSplineEnergy[i];
|
|
}
|
|
}
|
|
fPAItable[0][0] = fSplineNumber;
|
|
|
|
for(G4int j = 1; j < 112; j++) // for other gammas
|
|
{
|
|
if( j == fRefGammaNumber ) continue;
|
|
|
|
betaGammaSq = fLorentzFactor[j]*fLorentzFactor[j] - 1;
|
|
|
|
for(i = 1; i <= fSplineNumber; i++)
|
|
{
|
|
fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq);
|
|
fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
|
|
fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq);
|
|
fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
|
|
fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq);
|
|
}
|
|
IntegralPAIxSection();
|
|
IntegralCerenkov();
|
|
IntegralMM();
|
|
IntegralPlasmon();
|
|
IntegralResonance();
|
|
|
|
for(i = 0; i <= fSplineNumber; i++)
|
|
{
|
|
fPAItable[i][j] = fIntegralPAIxSection[i];
|
|
}
|
|
}
|
|
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Shifting from borders to intervals Creation of first energy points
|
|
//
|
|
|
|
void G4PAIxSection::NormShift(G4double betaGammaSq)
|
|
{
|
|
G4int i, j;
|
|
|
|
for( i = 1; i <= fIntervalNumber-1; i++ )
|
|
{
|
|
for( j = 1; j <= 2; j++ )
|
|
{
|
|
fSplineNumber = (i-1)*2 + j;
|
|
|
|
if( j == 1 ) fSplineEnergy[fSplineNumber] = fEnergyInterval[i ]*(1+fDelta);
|
|
else fSplineEnergy[fSplineNumber] = fEnergyInterval[i+1]*(1-fDelta);
|
|
// G4cout<<"cn = "<<fSplineNumber<<"; "<<"energy = "
|
|
// <<fSplineEnergy[fSplineNumber]<<G4endl;
|
|
}
|
|
}
|
|
fIntegralTerm[1]=RutherfordIntegral(1,fEnergyInterval[1],fSplineEnergy[1]);
|
|
|
|
j = 1;
|
|
|
|
for( i = 2; i <= fSplineNumber; i++ )
|
|
{
|
|
if(fSplineEnergy[i]<fEnergyInterval[j+1])
|
|
{
|
|
fIntegralTerm[i] = fIntegralTerm[i-1] +
|
|
RutherfordIntegral(j,fSplineEnergy[i-1],
|
|
fSplineEnergy[i] );
|
|
}
|
|
else
|
|
{
|
|
G4double x = RutherfordIntegral(j,fSplineEnergy[i-1],
|
|
fEnergyInterval[j+1] );
|
|
j++;
|
|
fIntegralTerm[i] = fIntegralTerm[i-1] + x +
|
|
RutherfordIntegral(j,fEnergyInterval[j],
|
|
fSplineEnergy[i] );
|
|
}
|
|
// G4cout<<i<<"\t"<<fSplineEnergy[i]<<"\t"<<fIntegralTerm[i]<<"\n"<<G4endl;
|
|
}
|
|
fNormalizationCof = 2*pi*pi*hbarc*hbarc*fine_structure_const/electron_mass_c2;
|
|
fNormalizationCof *= fElectronDensity/fIntegralTerm[fSplineNumber];
|
|
|
|
// G4cout<<"fNormalizationCof = "<<fNormalizationCof<<G4endl;
|
|
|
|
// Calculation of PAI differrential cross-section (1/(keV*cm))
|
|
// in the energy points near borders of energy intervals
|
|
|
|
for(G4int k = 1; k <= fIntervalNumber-1; k++ )
|
|
{
|
|
for( j = 1; j <= 2; j++ )
|
|
{
|
|
i = (k-1)*2 + j;
|
|
fImPartDielectricConst[i] = fNormalizationCof*
|
|
ImPartDielectricConst(k,fSplineEnergy[i]);
|
|
fRePartDielectricConst[i] = fNormalizationCof*
|
|
RePartDielectricConst(fSplineEnergy[i]);
|
|
fIntegralTerm[i] *= fNormalizationCof;
|
|
|
|
fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq);
|
|
fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
|
|
fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq);
|
|
fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
|
|
fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq);
|
|
}
|
|
}
|
|
|
|
} // end of NormShift
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Creation of new energy points as geometrical mean of existing
|
|
// one, calculation PAI_cs for them, while the error of logarithmic
|
|
// linear approximation would be smaller than 'fError'
|
|
|
|
void G4PAIxSection::SplainPAI(G4double betaGammaSq)
|
|
{
|
|
G4int k = 1;
|
|
G4int i = 1;
|
|
|
|
while ( (i < fSplineNumber) && (fSplineNumber < fMaxSplineSize-1) )
|
|
{
|
|
if(fSplineEnergy[i+1] > fEnergyInterval[k+1])
|
|
{
|
|
k++; // Here next energy point is in next energy interval
|
|
i++;
|
|
continue;
|
|
}
|
|
// Shifting of arrayes for inserting the geometrical
|
|
// average of 'i' and 'i+1' energy points to 'i+1' place
|
|
fSplineNumber++;
|
|
|
|
for(G4int j = fSplineNumber; j >= i+2; j-- )
|
|
{
|
|
fSplineEnergy[j] = fSplineEnergy[j-1];
|
|
fImPartDielectricConst[j] = fImPartDielectricConst[j-1];
|
|
fRePartDielectricConst[j] = fRePartDielectricConst[j-1];
|
|
fIntegralTerm[j] = fIntegralTerm[j-1];
|
|
|
|
fDifPAIxSection[j] = fDifPAIxSection[j-1];
|
|
fdNdxCerenkov[j] = fdNdxCerenkov[j-1];
|
|
fdNdxMM[j] = fdNdxMM[j-1];
|
|
fdNdxPlasmon[j] = fdNdxPlasmon[j-1];
|
|
fdNdxResonance[j] = fdNdxResonance[j-1];
|
|
}
|
|
G4double x1 = fSplineEnergy[i];
|
|
G4double x2 = fSplineEnergy[i+1];
|
|
G4double yy1 = fDifPAIxSection[i];
|
|
G4double y2 = fDifPAIxSection[i+1];
|
|
|
|
G4double en1 = sqrt(x1*x2);
|
|
fSplineEnergy[i+1] = en1;
|
|
|
|
// Calculation of logarithmic linear approximation
|
|
// in this (enr) energy point, which number is 'i+1' now
|
|
|
|
G4double a = log10(y2/yy1)/log10(x2/x1);
|
|
G4double b = log10(yy1) - a*log10(x1);
|
|
G4double y = a*log10(en1) + b;
|
|
y = pow(10.,y);
|
|
|
|
// Calculation of the PAI dif. cross-section at this point
|
|
|
|
fImPartDielectricConst[i+1] = fNormalizationCof*
|
|
ImPartDielectricConst(k,fSplineEnergy[i+1]);
|
|
fRePartDielectricConst[i+1] = fNormalizationCof*
|
|
RePartDielectricConst(fSplineEnergy[i+1]);
|
|
fIntegralTerm[i+1] = fIntegralTerm[i] + fNormalizationCof*
|
|
RutherfordIntegral(k,fSplineEnergy[i],
|
|
fSplineEnergy[i+1]);
|
|
|
|
fDifPAIxSection[i+1] = DifPAIxSection(i+1,betaGammaSq);
|
|
fdNdxCerenkov[i+1] = PAIdNdxCerenkov(i+1,betaGammaSq);
|
|
fdNdxMM[i+1] = PAIdNdxMM(i+1,betaGammaSq);
|
|
fdNdxPlasmon[i+1] = PAIdNdxPlasmon(i+1,betaGammaSq);
|
|
fdNdxResonance[i+1] = PAIdNdxResonance(i+1,betaGammaSq);
|
|
|
|
// Condition for next division of this segment or to pass
|
|
// to higher energies
|
|
|
|
G4double x = 2*(fDifPAIxSection[i+1] - y)/(fDifPAIxSection[i+1] + y);
|
|
|
|
if( x < 0 )
|
|
{
|
|
x = -x;
|
|
}
|
|
if( x > fError && fSplineNumber < fMaxSplineSize-1 )
|
|
{
|
|
continue; // next division
|
|
}
|
|
i += 2; // pass to next segment
|
|
|
|
} // close 'while'
|
|
|
|
} // end of SplainPAI
|
|
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Integration over electrons that could be considered
|
|
// quasi-free at energy transfer of interest
|
|
|
|
G4double G4PAIxSection::RutherfordIntegral( G4int k,
|
|
G4double x1,
|
|
G4double x2 )
|
|
{
|
|
G4double c1, c2, c3;
|
|
// G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<x2<<G4endl;
|
|
c1 = (x2 - x1)/x1/x2;
|
|
c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2;
|
|
c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2;
|
|
// G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<<c2<<"; "<<"c3 = "<<c3<<G4endl;
|
|
|
|
return fA1[k]*log(x2/x1) + fA2[k]*c1 + fA3[k]*c2/2 + fA4[k]*c3/3;
|
|
|
|
} // end of RutherfordIntegral
|
|
|
|
|
|
/////////////////////////////////////////////////////////////////
|
|
//
|
|
// Imaginary part of dielectric constant
|
|
// (G4int k - interval number, G4double en1 - energy point)
|
|
|
|
G4double G4PAIxSection::ImPartDielectricConst( G4int k ,
|
|
G4double energy1 )
|
|
{
|
|
G4double energy2,energy3,energy4,result;
|
|
|
|
energy2 = energy1*energy1;
|
|
energy3 = energy2*energy1;
|
|
energy4 = energy3*energy1;
|
|
|
|
result = fA1[k]/energy1+fA2[k]/energy2+fA3[k]/energy3+fA4[k]/energy4;
|
|
result *=hbarc/energy1;
|
|
|
|
return result;
|
|
|
|
} // end of ImPartDielectricConst
|
|
|
|
/////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns lambda of photon with energy1 in current material
|
|
|
|
G4double G4PAIxSection::GetPhotonRange( G4double energy1 )
|
|
{
|
|
G4int i;
|
|
G4double energy2, energy3, energy4, result, lambda;
|
|
|
|
energy2 = energy1*energy1;
|
|
energy3 = energy2*energy1;
|
|
energy4 = energy3*energy1;
|
|
|
|
// G4double* SandiaCof = fSandia->GetSandiaCofForMaterialPAI(energy1);
|
|
// result = SandiaCof[0]/energy1+SandiaCof[1]/energy2+SandiaCof[2]/energy3+SandiaCof[3]/energy4;
|
|
// result *= fDensity;
|
|
|
|
for( i = 1; i <= fIntervalNumber; i++ )
|
|
{
|
|
if( energy1 < fEnergyInterval[i]) break;
|
|
}
|
|
i--;
|
|
if(i == 0) i = 1;
|
|
|
|
result = fA1[i]/energy1+fA2[i]/energy2+fA3[i]/energy3+fA4[i]/energy4;
|
|
|
|
if( result > DBL_MIN ) lambda = 1./result;
|
|
else lambda = DBL_MAX;
|
|
|
|
return lambda;
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////
|
|
//
|
|
// Return lambda of electron with energy1 in current material
|
|
// parametrisation from NIM A554(2005)474-493
|
|
|
|
G4double G4PAIxSection::GetElectronRange( G4double energy )
|
|
{
|
|
G4double range;
|
|
/*
|
|
const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
|
|
|
|
G4double Z = (*theMaterialTable)[fMaterialIndex]->GetIonisation()->GetZeffective();
|
|
G4double A = (*theMaterialTable)[fMaterialIndex]->GetA();
|
|
|
|
energy /= keV; // energy in keV in parametrised formula
|
|
|
|
if (energy < 10.)
|
|
{
|
|
range = 3.872e-3*A/Z;
|
|
range *= pow(energy,1.492);
|
|
}
|
|
else
|
|
{
|
|
range = 6.97e-3*pow(energy,1.6);
|
|
}
|
|
*/
|
|
// Blum&Rolandi Particle Detection with Drift Chambers, p. 7
|
|
|
|
G4double cofA = 5.37e-4*g/cm2/keV;
|
|
G4double cofB = 0.9815;
|
|
G4double cofC = 3.123e-3/keV;
|
|
// energy /= keV;
|
|
|
|
range = cofA*energy*( 1 - cofB/(1 + cofC*energy) );
|
|
|
|
// range *= g/cm2;
|
|
range /= fDensity;
|
|
|
|
return range;
|
|
}
|
|
|
|
//////////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Real part of dielectric constant minus unit: epsilon_1 - 1
|
|
// (G4double enb - energy point)
|
|
//
|
|
|
|
G4double G4PAIxSection::RePartDielectricConst(G4double enb)
|
|
{
|
|
G4double x0, x02, x03, x04, x05, x1, x2, xx1 ,xx2 , xx12,
|
|
c1, c2, c3, cof1, cof2, xln1, xln2, xln3, result;
|
|
|
|
x0 = enb;
|
|
result = 0;
|
|
|
|
for(G4int i=1;i<=fIntervalNumber-1;i++)
|
|
{
|
|
x1 = fEnergyInterval[i];
|
|
x2 = fEnergyInterval[i+1];
|
|
xx1 = x1 - x0;
|
|
xx2 = x2 - x0;
|
|
xx12 = xx2/xx1;
|
|
|
|
if(xx12<0)
|
|
{
|
|
xx12 = -xx12;
|
|
}
|
|
xln1 = log(x2/x1);
|
|
xln2 = log(xx12);
|
|
xln3 = log((x2 + x0)/(x1 + x0));
|
|
x02 = x0*x0;
|
|
x03 = x02*x0;
|
|
x04 = x03*x0;
|
|
x05 = x04*x0;
|
|
c1 = (x2 - x1)/x1/x2;
|
|
c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2;
|
|
c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2;
|
|
|
|
result -= (fA1[i]/x02 + fA3[i]/x04)*xln1;
|
|
result -= (fA2[i]/x02 + fA4[i]/x04)*c1;
|
|
result -= fA3[i]*c2/2/x02;
|
|
result -= fA4[i]*c3/3/x02;
|
|
|
|
cof1 = fA1[i]/x02 + fA3[i]/x04;
|
|
cof2 = fA2[i]/x03 + fA4[i]/x05;
|
|
|
|
result += 0.5*(cof1 +cof2)*xln2;
|
|
result += 0.5*(cof1 - cof2)*xln3;
|
|
}
|
|
result *= 2*hbarc/pi;
|
|
|
|
return result;
|
|
|
|
} // end of RePartDielectricConst
|
|
|
|
//////////////////////////////////////////////////////////////////////
|
|
//
|
|
// PAI differential cross-section in terms of
|
|
// simplified Allison's equation
|
|
//
|
|
|
|
G4double G4PAIxSection::DifPAIxSection( G4int i ,
|
|
G4double betaGammaSq )
|
|
{
|
|
G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,result;
|
|
//G4double beta, be4;
|
|
G4double be4;
|
|
G4double betaBohr2 = fine_structure_const*fine_structure_const;
|
|
G4double betaBohr4 = betaBohr2*betaBohr2*4.0;
|
|
be2 = betaGammaSq/(1 + betaGammaSq);
|
|
be4 = be2*be2;
|
|
// beta = sqrt(be2);
|
|
cof = 1;
|
|
x1 = log(2*electron_mass_c2/fSplineEnergy[i]);
|
|
|
|
if( betaGammaSq < 0.01 ) x2 = log(be2);
|
|
else
|
|
{
|
|
x2 = -log( (1/betaGammaSq - fRePartDielectricConst[i])*
|
|
(1/betaGammaSq - fRePartDielectricConst[i]) +
|
|
fImPartDielectricConst[i]*fImPartDielectricConst[i] )/2;
|
|
}
|
|
if( fImPartDielectricConst[i] == 0.0 ||betaGammaSq < 0.01 )
|
|
{
|
|
x6=0;
|
|
}
|
|
else
|
|
{
|
|
x3 = -fRePartDielectricConst[i] + 1/betaGammaSq;
|
|
x5 = -1 - fRePartDielectricConst[i] +
|
|
be2*((1 +fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
|
|
fImPartDielectricConst[i]*fImPartDielectricConst[i]);
|
|
|
|
x7 = atan2(fImPartDielectricConst[i],x3);
|
|
x6 = x5 * x7;
|
|
}
|
|
// if(fImPartDielectricConst[i] == 0) x6 = 0;
|
|
|
|
x4 = ((x1 + x2)*fImPartDielectricConst[i] + x6)/hbarc;
|
|
// if( x4 < 0.0 ) x4 = 0.0;
|
|
x8 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
|
|
fImPartDielectricConst[i]*fImPartDielectricConst[i];
|
|
|
|
result = (x4 + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i]);
|
|
if(result < 1.0e-8) result = 1.0e-8;
|
|
result *= fine_structure_const/be2/pi;
|
|
// result *= (1-exp(-beta/betaBohr))*(1-exp(-beta/betaBohr));
|
|
// result *= (1-exp(-be2/betaBohr2));
|
|
result *= (1-exp(-be4/betaBohr4));
|
|
if(fDensity >= 0.1)
|
|
{
|
|
result /= x8;
|
|
}
|
|
return result;
|
|
|
|
} // end of DifPAIxSection
|
|
|
|
//////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation od dN/dx of collisions with creation of Cerenkov pseudo-photons
|
|
|
|
G4double G4PAIxSection::PAIdNdxCerenkov( G4int i ,
|
|
G4double betaGammaSq )
|
|
{
|
|
G4double logarithm, x3, x5, argument, modul2, dNdxC;
|
|
G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr;
|
|
|
|
cofBetaBohr = 4.0;
|
|
betaBohr2 = fine_structure_const*fine_structure_const;
|
|
betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
|
|
|
|
be2 = betaGammaSq/(1 + betaGammaSq);
|
|
be4 = be2*be2;
|
|
|
|
if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq); // 0.0;
|
|
else
|
|
{
|
|
logarithm = -log( (1/betaGammaSq - fRePartDielectricConst[i])*
|
|
(1/betaGammaSq - fRePartDielectricConst[i]) +
|
|
fImPartDielectricConst[i]*fImPartDielectricConst[i] )*0.5;
|
|
logarithm += log(1+1.0/betaGammaSq);
|
|
}
|
|
|
|
if( fImPartDielectricConst[i] == 0.0 || betaGammaSq < 0.01 )
|
|
{
|
|
argument = 0.0;
|
|
}
|
|
else
|
|
{
|
|
x3 = -fRePartDielectricConst[i] + 1.0/betaGammaSq;
|
|
x5 = -1.0 - fRePartDielectricConst[i] +
|
|
be2*((1.0 +fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) +
|
|
fImPartDielectricConst[i]*fImPartDielectricConst[i]);
|
|
if( x3 == 0.0 ) argument = 0.5*pi;
|
|
else argument = atan2(fImPartDielectricConst[i],x3);
|
|
argument *= x5 ;
|
|
}
|
|
dNdxC = ( logarithm*fImPartDielectricConst[i] + argument )/hbarc;
|
|
|
|
if(dNdxC < 1.0e-8) dNdxC = 1.0e-8;
|
|
|
|
dNdxC *= fine_structure_const/be2/pi;
|
|
|
|
dNdxC *= (1-exp(-be4/betaBohr4));
|
|
|
|
if(fDensity >= 0.1)
|
|
{
|
|
modul2 = (1.0 + fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) +
|
|
fImPartDielectricConst[i]*fImPartDielectricConst[i];
|
|
dNdxC /= modul2;
|
|
}
|
|
return dNdxC;
|
|
|
|
} // end of PAIdNdxCerenkov
|
|
|
|
//////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation od dN/dx of collisions of MM with creation of Cerenkov pseudo-photons
|
|
|
|
G4double G4PAIxSection::PAIdNdxMM( G4int i ,
|
|
G4double betaGammaSq )
|
|
{
|
|
G4double logarithm, x3, x5, argument, dNdxC;
|
|
G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr;
|
|
|
|
cofBetaBohr = 4.0;
|
|
betaBohr2 = fine_structure_const*fine_structure_const;
|
|
betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
|
|
|
|
be2 = betaGammaSq/(1 + betaGammaSq);
|
|
be4 = be2*be2;
|
|
|
|
if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq); // 0.0;
|
|
else
|
|
{
|
|
logarithm = -log( (1/betaGammaSq - fRePartDielectricConst[i])*
|
|
(1/betaGammaSq - fRePartDielectricConst[i]) +
|
|
fImPartDielectricConst[i]*fImPartDielectricConst[i] )*0.5;
|
|
logarithm += log(1+1.0/betaGammaSq);
|
|
}
|
|
|
|
if( fImPartDielectricConst[i] == 0.0 || betaGammaSq < 0.01 )
|
|
{
|
|
argument = 0.0;
|
|
}
|
|
else
|
|
{
|
|
x3 = -fRePartDielectricConst[i] + 1.0/betaGammaSq;
|
|
x5 = be2*( 1.0 + fRePartDielectricConst[i] ) - 1.0;
|
|
if( x3 == 0.0 ) argument = 0.5*pi;
|
|
else argument = atan2(fImPartDielectricConst[i],x3);
|
|
argument *= x5 ;
|
|
}
|
|
dNdxC = ( logarithm*fImPartDielectricConst[i]*be2 + argument )/hbarc;
|
|
|
|
if(dNdxC < 1.0e-8) dNdxC = 1.0e-8;
|
|
|
|
dNdxC *= fine_structure_const/be2/pi;
|
|
|
|
dNdxC *= (1-exp(-be4/betaBohr4));
|
|
return dNdxC;
|
|
|
|
} // end of PAIdNdxMM
|
|
|
|
//////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation od dN/dx of collisions with creation of longitudinal EM
|
|
// excitations (plasmons, delta-electrons)
|
|
|
|
G4double G4PAIxSection::PAIdNdxPlasmon( G4int i ,
|
|
G4double betaGammaSq )
|
|
{
|
|
G4double resonance, modul2, dNdxP, cof = 1.;
|
|
G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr;
|
|
|
|
|
|
cofBetaBohr = 4.0;
|
|
betaBohr2 = fine_structure_const*fine_structure_const;
|
|
betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
|
|
|
|
be2 = betaGammaSq/(1 + betaGammaSq);
|
|
be4 = be2*be2;
|
|
|
|
resonance = log(2*electron_mass_c2*be2/fSplineEnergy[i]);
|
|
resonance *= fImPartDielectricConst[i]/hbarc;
|
|
|
|
|
|
dNdxP = ( resonance + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i] );
|
|
|
|
if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8;
|
|
|
|
dNdxP *= fine_structure_const/be2/pi;
|
|
dNdxP *= (1-exp(-be4/betaBohr4));
|
|
|
|
if( fDensity >= 0.1 )
|
|
{
|
|
modul2 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
|
|
fImPartDielectricConst[i]*fImPartDielectricConst[i];
|
|
dNdxP /= modul2;
|
|
}
|
|
return dNdxP;
|
|
|
|
} // end of PAIdNdxPlasmon
|
|
|
|
//////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation od dN/dx of collisions with creation of longitudinal EM
|
|
// resonance excitations (plasmons, delta-electrons)
|
|
|
|
G4double G4PAIxSection::PAIdNdxResonance( G4int i ,
|
|
G4double betaGammaSq )
|
|
{
|
|
G4double resonance, modul2, dNdxP;
|
|
G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr;
|
|
|
|
cofBetaBohr = 4.0;
|
|
betaBohr2 = fine_structure_const*fine_structure_const;
|
|
betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
|
|
|
|
be2 = betaGammaSq/(1 + betaGammaSq);
|
|
be4 = be2*be2;
|
|
|
|
resonance = log(2*electron_mass_c2*be2/fSplineEnergy[i]);
|
|
resonance *= fImPartDielectricConst[i]/hbarc;
|
|
|
|
|
|
dNdxP = resonance;
|
|
|
|
if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8;
|
|
|
|
dNdxP *= fine_structure_const/be2/pi;
|
|
dNdxP *= (1-exp(-be4/betaBohr4));
|
|
|
|
if( fDensity >= 0.1 )
|
|
{
|
|
modul2 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
|
|
fImPartDielectricConst[i]*fImPartDielectricConst[i];
|
|
dNdxP /= modul2;
|
|
}
|
|
return dNdxP;
|
|
|
|
} // end of PAIdNdxResonance
|
|
|
|
////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation of the PAI integral cross-section
|
|
// fIntegralPAIxSection[1] = specific primary ionisation, 1/cm
|
|
// and fIntegralPAIxSection[0] = mean energy loss per cm in keV/cm
|
|
|
|
void G4PAIxSection::IntegralPAIxSection()
|
|
{
|
|
fIntegralPAIxSection[fSplineNumber] = 0;
|
|
fIntegralPAIdEdx[fSplineNumber] = 0;
|
|
fIntegralPAIxSection[0] = 0;
|
|
G4int k = fIntervalNumber -1;
|
|
|
|
for(G4int i = fSplineNumber-1; i >= 1; i--)
|
|
{
|
|
if(fSplineEnergy[i] >= fEnergyInterval[k])
|
|
{
|
|
fIntegralPAIxSection[i] = fIntegralPAIxSection[i+1] + SumOverInterval(i);
|
|
fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] + SumOverIntervaldEdx(i);
|
|
}
|
|
else
|
|
{
|
|
fIntegralPAIxSection[i] = fIntegralPAIxSection[i+1] +
|
|
SumOverBorder(i+1,fEnergyInterval[k]);
|
|
fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] +
|
|
SumOverBorderdEdx(i+1,fEnergyInterval[k]);
|
|
k--;
|
|
}
|
|
}
|
|
} // end of IntegralPAIxSection
|
|
|
|
////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation of the PAI Cerenkov integral cross-section
|
|
// fIntegralCrenkov[1] = specific Crenkov ionisation, 1/cm
|
|
// and fIntegralCerenkov[0] = mean Cerenkov loss per cm in keV/cm
|
|
|
|
void G4PAIxSection::IntegralCerenkov()
|
|
{
|
|
G4int i, k;
|
|
fIntegralCerenkov[fSplineNumber] = 0;
|
|
fIntegralCerenkov[0] = 0;
|
|
k = fIntervalNumber -1;
|
|
|
|
for( i = fSplineNumber-1; i >= 1; i-- )
|
|
{
|
|
if(fSplineEnergy[i] >= fEnergyInterval[k])
|
|
{
|
|
fIntegralCerenkov[i] = fIntegralCerenkov[i+1] + SumOverInterCerenkov(i);
|
|
// G4cout<<"int: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl;
|
|
}
|
|
else
|
|
{
|
|
fIntegralCerenkov[i] = fIntegralCerenkov[i+1] +
|
|
SumOverBordCerenkov(i+1,fEnergyInterval[k]);
|
|
k--;
|
|
// G4cout<<"bord: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl;
|
|
}
|
|
}
|
|
|
|
} // end of IntegralCerenkov
|
|
|
|
////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation of the PAI MM-Cerenkov integral cross-section
|
|
// fIntegralMM[1] = specific MM-Cerenkov ionisation, 1/cm
|
|
// and fIntegralMM[0] = mean MM-Cerenkov loss per cm in keV/cm
|
|
|
|
void G4PAIxSection::IntegralMM()
|
|
{
|
|
G4int i, k;
|
|
fIntegralMM[fSplineNumber] = 0;
|
|
fIntegralMM[0] = 0;
|
|
k = fIntervalNumber -1;
|
|
|
|
for( i = fSplineNumber-1; i >= 1; i-- )
|
|
{
|
|
if(fSplineEnergy[i] >= fEnergyInterval[k])
|
|
{
|
|
fIntegralMM[i] = fIntegralMM[i+1] + SumOverInterMM(i);
|
|
// G4cout<<"int: i = "<<i<<"; sumC = "<<fIntegralMM[i]<<G4endl;
|
|
}
|
|
else
|
|
{
|
|
fIntegralMM[i] = fIntegralMM[i+1] +
|
|
SumOverBordMM(i+1,fEnergyInterval[k]);
|
|
k--;
|
|
// G4cout<<"bord: i = "<<i<<"; sumC = "<<fIntegralMM[i]<<G4endl;
|
|
}
|
|
}
|
|
|
|
} // end of IntegralMM
|
|
|
|
////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation of the PAI Plasmon integral cross-section
|
|
// fIntegralPlasmon[1] = splasmon primary ionisation, 1/cm
|
|
// and fIntegralPlasmon[0] = mean plasmon loss per cm in keV/cm
|
|
|
|
void G4PAIxSection::IntegralPlasmon()
|
|
{
|
|
fIntegralPlasmon[fSplineNumber] = 0;
|
|
fIntegralPlasmon[0] = 0;
|
|
G4int k = fIntervalNumber -1;
|
|
for(G4int i=fSplineNumber-1;i>=1;i--)
|
|
{
|
|
if(fSplineEnergy[i] >= fEnergyInterval[k])
|
|
{
|
|
fIntegralPlasmon[i] = fIntegralPlasmon[i+1] + SumOverInterPlasmon(i);
|
|
}
|
|
else
|
|
{
|
|
fIntegralPlasmon[i] = fIntegralPlasmon[i+1] +
|
|
SumOverBordPlasmon(i+1,fEnergyInterval[k]);
|
|
k--;
|
|
}
|
|
}
|
|
|
|
} // end of IntegralPlasmon
|
|
|
|
////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation of the PAI resonance integral cross-section
|
|
// fIntegralResonance[1] = resonance primary ionisation, 1/cm
|
|
// and fIntegralResonance[0] = mean resonance loss per cm in keV/cm
|
|
|
|
void G4PAIxSection::IntegralResonance()
|
|
{
|
|
fIntegralResonance[fSplineNumber] = 0;
|
|
fIntegralResonance[0] = 0;
|
|
G4int k = fIntervalNumber -1;
|
|
for(G4int i=fSplineNumber-1;i>=1;i--)
|
|
{
|
|
if(fSplineEnergy[i] >= fEnergyInterval[k])
|
|
{
|
|
fIntegralResonance[i] = fIntegralResonance[i+1] + SumOverInterResonance(i);
|
|
}
|
|
else
|
|
{
|
|
fIntegralResonance[i] = fIntegralResonance[i+1] +
|
|
SumOverBordResonance(i+1,fEnergyInterval[k]);
|
|
k--;
|
|
}
|
|
}
|
|
|
|
} // end of IntegralResonance
|
|
|
|
//////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation the PAI integral cross-section inside
|
|
// of interval of continuous values of photo-ionisation
|
|
// cross-section. Parameter 'i' is the number of interval.
|
|
|
|
G4double G4PAIxSection::SumOverInterval( G4int i )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,result;
|
|
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fDifPAIxSection[i];
|
|
yy1 = fDifPAIxSection[i+1];
|
|
c = x1/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a);
|
|
a += 1;
|
|
if(a == 0)
|
|
{
|
|
result = b*log(x1/x0);
|
|
}
|
|
else
|
|
{
|
|
result = y0*(x1*pow(c,a-1) - x0)/a;
|
|
}
|
|
a++;
|
|
if(a == 0)
|
|
{
|
|
fIntegralPAIxSection[0] += b*log(x1/x0);
|
|
}
|
|
else
|
|
{
|
|
fIntegralPAIxSection[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
|
|
}
|
|
return result;
|
|
|
|
} // end of SumOverInterval
|
|
|
|
/////////////////////////////////
|
|
|
|
G4double G4PAIxSection::SumOverIntervaldEdx( G4int i )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,result;
|
|
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fDifPAIxSection[i];
|
|
yy1 = fDifPAIxSection[i+1];
|
|
c = x1/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a);
|
|
a += 2;
|
|
if(a == 0)
|
|
{
|
|
result = b*log(x1/x0);
|
|
}
|
|
else
|
|
{
|
|
result = y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
|
|
}
|
|
return result;
|
|
|
|
} // end of SumOverInterval
|
|
|
|
//////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation the PAI Cerenkov integral cross-section inside
|
|
// of interval of continuous values of photo-ionisation Cerenkov
|
|
// cross-section. Parameter 'i' is the number of interval.
|
|
|
|
G4double G4PAIxSection::SumOverInterCerenkov( G4int i )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,result;
|
|
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fdNdxCerenkov[i];
|
|
yy1 = fdNdxCerenkov[i+1];
|
|
// G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"; x1 = "<<x1
|
|
// <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
|
|
|
|
c = x1/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
b = y0/pow(x0,a);
|
|
|
|
a += 1.0;
|
|
if(a == 0) result = b*log(c);
|
|
else result = y0*(x1*pow(c,a-1) - x0)/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralCerenkov[0] += b*log(x1/x0);
|
|
else fIntegralCerenkov[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
|
|
// G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl;
|
|
return result;
|
|
|
|
} // end of SumOverInterCerenkov
|
|
|
|
//////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation the PAI MM-Cerenkov integral cross-section inside
|
|
// of interval of continuous values of photo-ionisation Cerenkov
|
|
// cross-section. Parameter 'i' is the number of interval.
|
|
|
|
G4double G4PAIxSection::SumOverInterMM( G4int i )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,result;
|
|
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fdNdxMM[i];
|
|
yy1 = fdNdxMM[i+1];
|
|
// G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"; x1 = "<<x1
|
|
// <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
|
|
|
|
c = x1/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
b = y0/pow(x0,a);
|
|
|
|
a += 1.0;
|
|
if(a == 0) result = b*log(c);
|
|
else result = y0*(x1*pow(c,a-1) - x0)/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralMM[0] += b*log(x1/x0);
|
|
else fIntegralMM[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
|
|
// G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl;
|
|
return result;
|
|
|
|
} // end of SumOverInterMM
|
|
|
|
//////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation the PAI Plasmon integral cross-section inside
|
|
// of interval of continuous values of photo-ionisation Plasmon
|
|
// cross-section. Parameter 'i' is the number of interval.
|
|
|
|
G4double G4PAIxSection::SumOverInterPlasmon( G4int i )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,result;
|
|
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fdNdxPlasmon[i];
|
|
yy1 = fdNdxPlasmon[i+1];
|
|
c =x1/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a);
|
|
|
|
a += 1.0;
|
|
if(a == 0) result = b*log(x1/x0);
|
|
else result = y0*(x1*pow(c,a-1) - x0)/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralPlasmon[0] += b*log(x1/x0);
|
|
else fIntegralPlasmon[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
|
|
|
|
return result;
|
|
|
|
} // end of SumOverInterPlasmon
|
|
|
|
//////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Calculation the PAI resonance integral cross-section inside
|
|
// of interval of continuous values of photo-ionisation resonance
|
|
// cross-section. Parameter 'i' is the number of interval.
|
|
|
|
G4double G4PAIxSection::SumOverInterResonance( G4int i )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,result;
|
|
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fdNdxResonance[i];
|
|
yy1 = fdNdxResonance[i+1];
|
|
c =x1/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a);
|
|
|
|
a += 1.0;
|
|
if(a == 0) result = b*log(x1/x0);
|
|
else result = y0*(x1*pow(c,a-1) - x0)/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralResonance[0] += b*log(x1/x0);
|
|
else fIntegralResonance[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
|
|
|
|
return result;
|
|
|
|
} // end of SumOverInterResonance
|
|
|
|
///////////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Integration of PAI cross-section for the case of
|
|
// passing across border between intervals
|
|
|
|
G4double G4PAIxSection::SumOverBorder( G4int i ,
|
|
G4double en0 )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,d,e0,result;
|
|
|
|
e0 = en0;
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fDifPAIxSection[i];
|
|
yy1 = fDifPAIxSection[i+1];
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(x1/x0);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a); // pow(10.,b);
|
|
|
|
a += 1;
|
|
if(a == 0)
|
|
{
|
|
result = b*log(x0/e0);
|
|
}
|
|
else
|
|
{
|
|
result = y0*(x0 - e0*pow(d,a-1))/a;
|
|
}
|
|
a++;
|
|
if(a == 0)
|
|
{
|
|
fIntegralPAIxSection[0] += b*log(x0/e0);
|
|
}
|
|
else
|
|
{
|
|
fIntegralPAIxSection[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
|
|
}
|
|
x0 = fSplineEnergy[i - 1];
|
|
x1 = fSplineEnergy[i - 2];
|
|
y0 = fDifPAIxSection[i - 1];
|
|
yy1 = fDifPAIxSection[i - 2];
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(x1/x0);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a);
|
|
a += 1;
|
|
if(a == 0)
|
|
{
|
|
result += b*log(e0/x0);
|
|
}
|
|
else
|
|
{
|
|
result += y0*(e0*pow(d,a-1) - x0)/a;
|
|
}
|
|
a++;
|
|
if(a == 0)
|
|
{
|
|
fIntegralPAIxSection[0] += b*log(e0/x0);
|
|
}
|
|
else
|
|
{
|
|
fIntegralPAIxSection[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
|
|
}
|
|
return result;
|
|
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////////
|
|
|
|
G4double G4PAIxSection::SumOverBorderdEdx( G4int i ,
|
|
G4double en0 )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,d,e0,result;
|
|
|
|
e0 = en0;
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fDifPAIxSection[i];
|
|
yy1 = fDifPAIxSection[i+1];
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(x1/x0);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a); // pow(10.,b);
|
|
|
|
a += 2;
|
|
if(a == 0)
|
|
{
|
|
result = b*log(x0/e0);
|
|
}
|
|
else
|
|
{
|
|
result = y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
|
|
}
|
|
x0 = fSplineEnergy[i - 1];
|
|
x1 = fSplineEnergy[i - 2];
|
|
y0 = fDifPAIxSection[i - 1];
|
|
yy1 = fDifPAIxSection[i - 2];
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(x1/x0);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a);
|
|
a += 2;
|
|
if(a == 0)
|
|
{
|
|
result += b*log(e0/x0);
|
|
}
|
|
else
|
|
{
|
|
result += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
|
|
}
|
|
return result;
|
|
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Integration of Cerenkov cross-section for the case of
|
|
// passing across border between intervals
|
|
|
|
G4double G4PAIxSection::SumOverBordCerenkov( G4int i ,
|
|
G4double en0 )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,e0,c,d,result;
|
|
|
|
e0 = en0;
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fdNdxCerenkov[i];
|
|
yy1 = fdNdxCerenkov[i+1];
|
|
|
|
// G4cout<<G4endl;
|
|
// G4cout<<"SumBordC, i = "<<i<<"; en0 = "<<en0<<"; x0 ="<<x0<<"; x1 = "<<x1
|
|
// <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a); // pow(10.,b0);
|
|
|
|
a += 1.0;
|
|
if( a == 0 ) result = b*log(x0/e0);
|
|
else result = y0*(x0 - e0*pow(d,a-1))/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralCerenkov[0] += b*log(x0/e0);
|
|
else fIntegralCerenkov[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
|
|
|
|
// G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = "<<b<<"; result = "<<result<<G4endl;
|
|
|
|
x0 = fSplineEnergy[i - 1];
|
|
x1 = fSplineEnergy[i - 2];
|
|
y0 = fdNdxCerenkov[i - 1];
|
|
yy1 = fdNdxCerenkov[i - 2];
|
|
|
|
// G4cout<<"x0 ="<<x0<<"; x1 = "<<x1
|
|
// <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(x1/x0);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a); // pow(10.,b0);
|
|
|
|
a += 1.0;
|
|
if( a == 0 ) result += b*log(e0/x0);
|
|
else result += y0*(e0*pow(d,a-1) - x0 )/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralCerenkov[0] += b*log(e0/x0);
|
|
else fIntegralCerenkov[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
|
|
|
|
// G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = "
|
|
// <<b<<"; result = "<<result<<G4endl;
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Integration of MM-Cerenkov cross-section for the case of
|
|
// passing across border between intervals
|
|
|
|
G4double G4PAIxSection::SumOverBordMM( G4int i ,
|
|
G4double en0 )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,e0,c,d,result;
|
|
|
|
e0 = en0;
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fdNdxMM[i];
|
|
yy1 = fdNdxMM[i+1];
|
|
|
|
// G4cout<<G4endl;
|
|
// G4cout<<"SumBordC, i = "<<i<<"; en0 = "<<en0<<"; x0 ="<<x0<<"; x1 = "<<x1
|
|
// <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a); // pow(10.,b0);
|
|
|
|
a += 1.0;
|
|
if( a == 0 ) result = b*log(x0/e0);
|
|
else result = y0*(x0 - e0*pow(d,a-1))/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralMM[0] += b*log(x0/e0);
|
|
else fIntegralMM[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
|
|
|
|
// G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = "<<b<<"; result = "<<result<<G4endl;
|
|
|
|
x0 = fSplineEnergy[i - 1];
|
|
x1 = fSplineEnergy[i - 2];
|
|
y0 = fdNdxMM[i - 1];
|
|
yy1 = fdNdxMM[i - 2];
|
|
|
|
// G4cout<<"x0 ="<<x0<<"; x1 = "<<x1
|
|
// <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(x1/x0);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a); // pow(10.,b0);
|
|
|
|
a += 1.0;
|
|
if( a == 0 ) result += b*log(e0/x0);
|
|
else result += y0*(e0*pow(d,a-1) - x0 )/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralMM[0] += b*log(e0/x0);
|
|
else fIntegralMM[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
|
|
|
|
// G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = "
|
|
// <<b<<"; result = "<<result<<G4endl;
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Integration of Plasmon cross-section for the case of
|
|
// passing across border between intervals
|
|
|
|
G4double G4PAIxSection::SumOverBordPlasmon( G4int i ,
|
|
G4double en0 )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,d,e0,result;
|
|
|
|
e0 = en0;
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fdNdxPlasmon[i];
|
|
yy1 = fdNdxPlasmon[i+1];
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a); //pow(10.,b);
|
|
|
|
a += 1.0;
|
|
if( a == 0 ) result = b*log(x0/e0);
|
|
else result = y0*(x0 - e0*pow(d,a-1))/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralPlasmon[0] += b*log(x0/e0);
|
|
else fIntegralPlasmon[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
|
|
|
|
x0 = fSplineEnergy[i - 1];
|
|
x1 = fSplineEnergy[i - 2];
|
|
y0 = fdNdxPlasmon[i - 1];
|
|
yy1 = fdNdxPlasmon[i - 2];
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a);// pow(10.,b0);
|
|
|
|
a += 1.0;
|
|
if( a == 0 ) result += b*log(e0/x0);
|
|
else result += y0*(e0*pow(d,a-1) - x0)/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralPlasmon[0] += b*log(e0/x0);
|
|
else fIntegralPlasmon[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
///////////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Integration of resonance cross-section for the case of
|
|
// passing across border between intervals
|
|
|
|
G4double G4PAIxSection::SumOverBordResonance( G4int i ,
|
|
G4double en0 )
|
|
{
|
|
G4double x0,x1,y0,yy1,a,b,c,d,e0,result;
|
|
|
|
e0 = en0;
|
|
x0 = fSplineEnergy[i];
|
|
x1 = fSplineEnergy[i+1];
|
|
y0 = fdNdxResonance[i];
|
|
yy1 = fdNdxResonance[i+1];
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a); //pow(10.,b);
|
|
|
|
a += 1.0;
|
|
if( a == 0 ) result = b*log(x0/e0);
|
|
else result = y0*(x0 - e0*pow(d,a-1))/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralResonance[0] += b*log(x0/e0);
|
|
else fIntegralResonance[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
|
|
|
|
x0 = fSplineEnergy[i - 1];
|
|
x1 = fSplineEnergy[i - 2];
|
|
y0 = fdNdxResonance[i - 1];
|
|
yy1 = fdNdxResonance[i - 2];
|
|
|
|
c = x1/x0;
|
|
d = e0/x0;
|
|
a = log10(yy1/y0)/log10(c);
|
|
// b0 = log10(y0) - a*log10(x0);
|
|
b = y0/pow(x0,a);// pow(10.,b0);
|
|
|
|
a += 1.0;
|
|
if( a == 0 ) result += b*log(e0/x0);
|
|
else result += y0*(e0*pow(d,a-1) - x0)/a;
|
|
a += 1.0;
|
|
|
|
if( a == 0 ) fIntegralResonance[0] += b*log(e0/x0);
|
|
else fIntegralResonance[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns random PAI-total energy loss over step
|
|
|
|
G4double G4PAIxSection::GetStepEnergyLoss( G4double step )
|
|
{
|
|
G4long numOfCollisions;
|
|
G4double meanNumber, loss = 0.0;
|
|
|
|
// G4cout<<" G4PAIxSection::GetStepEnergyLoss "<<G4endl;
|
|
|
|
meanNumber = fIntegralPAIxSection[1]*step;
|
|
numOfCollisions = G4Poisson(meanNumber);
|
|
|
|
// G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
|
|
|
|
while(numOfCollisions)
|
|
{
|
|
loss += GetEnergyTransfer();
|
|
numOfCollisions--;
|
|
}
|
|
// G4cout<<"PAI energy loss = "<<loss/keV<<" keV"<<G4endl;
|
|
|
|
return loss;
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns random PAI-total energy transfer in one collision
|
|
|
|
G4double G4PAIxSection::GetEnergyTransfer()
|
|
{
|
|
G4int iTransfer ;
|
|
|
|
G4double energyTransfer, position;
|
|
|
|
position = fIntegralPAIxSection[1]*G4UniformRand();
|
|
|
|
for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
|
|
{
|
|
if( position >= fIntegralPAIxSection[iTransfer] ) break;
|
|
}
|
|
if(iTransfer > fSplineNumber) iTransfer--;
|
|
|
|
energyTransfer = fSplineEnergy[iTransfer];
|
|
|
|
if(iTransfer > 1)
|
|
{
|
|
energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
|
|
}
|
|
return energyTransfer;
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns random Cerenkov energy loss over step
|
|
|
|
G4double G4PAIxSection::GetStepCerenkovLoss( G4double step )
|
|
{
|
|
G4long numOfCollisions;
|
|
G4double meanNumber, loss = 0.0;
|
|
|
|
// G4cout<<" G4PAIxSection::GetStepCerenkovLoss "<<G4endl;
|
|
|
|
meanNumber = fIntegralCerenkov[1]*step;
|
|
numOfCollisions = G4Poisson(meanNumber);
|
|
|
|
// G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
|
|
|
|
while(numOfCollisions)
|
|
{
|
|
loss += GetCerenkovEnergyTransfer();
|
|
numOfCollisions--;
|
|
}
|
|
// G4cout<<"PAI Cerenkov loss = "<<loss/keV<<" keV"<<G4endl;
|
|
|
|
return loss;
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns random MM-Cerenkov energy loss over step
|
|
|
|
G4double G4PAIxSection::GetStepMMLoss( G4double step )
|
|
{
|
|
G4long numOfCollisions;
|
|
G4double meanNumber, loss = 0.0;
|
|
|
|
// G4cout<<" G4PAIxSection::GetStepMMLoss "<<G4endl;
|
|
|
|
meanNumber = fIntegralMM[1]*step;
|
|
numOfCollisions = G4Poisson(meanNumber);
|
|
|
|
// G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
|
|
|
|
while(numOfCollisions)
|
|
{
|
|
loss += GetMMEnergyTransfer();
|
|
numOfCollisions--;
|
|
}
|
|
// G4cout<<"PAI MM-Cerenkov loss = "<<loss/keV<<" keV"<<G4endl;
|
|
|
|
return loss;
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns Cerenkov energy transfer in one collision
|
|
|
|
G4double G4PAIxSection::GetCerenkovEnergyTransfer()
|
|
{
|
|
G4int iTransfer ;
|
|
|
|
G4double energyTransfer, position;
|
|
|
|
position = fIntegralCerenkov[1]*G4UniformRand();
|
|
|
|
for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
|
|
{
|
|
if( position >= fIntegralCerenkov[iTransfer] ) break;
|
|
}
|
|
if(iTransfer > fSplineNumber) iTransfer--;
|
|
|
|
energyTransfer = fSplineEnergy[iTransfer];
|
|
|
|
if(iTransfer > 1)
|
|
{
|
|
energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
|
|
}
|
|
return energyTransfer;
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns MM-Cerenkov energy transfer in one collision
|
|
|
|
G4double G4PAIxSection::GetMMEnergyTransfer()
|
|
{
|
|
G4int iTransfer ;
|
|
|
|
G4double energyTransfer, position;
|
|
|
|
position = fIntegralMM[1]*G4UniformRand();
|
|
|
|
for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
|
|
{
|
|
if( position >= fIntegralMM[iTransfer] ) break;
|
|
}
|
|
if(iTransfer > fSplineNumber) iTransfer--;
|
|
|
|
energyTransfer = fSplineEnergy[iTransfer];
|
|
|
|
if(iTransfer > 1)
|
|
{
|
|
energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
|
|
}
|
|
return energyTransfer;
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns random plasmon energy loss over step
|
|
|
|
G4double G4PAIxSection::GetStepPlasmonLoss( G4double step )
|
|
{
|
|
G4long numOfCollisions;
|
|
G4double meanNumber, loss = 0.0;
|
|
|
|
// G4cout<<" G4PAIxSection::GetStepPlasmonLoss "<<G4endl;
|
|
|
|
meanNumber = fIntegralPlasmon[1]*step;
|
|
numOfCollisions = G4Poisson(meanNumber);
|
|
|
|
// G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
|
|
|
|
while(numOfCollisions)
|
|
{
|
|
loss += GetPlasmonEnergyTransfer();
|
|
numOfCollisions--;
|
|
}
|
|
// G4cout<<"PAI Plasmon loss = "<<loss/keV<<" keV"<<G4endl;
|
|
|
|
return loss;
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns plasmon energy transfer in one collision
|
|
|
|
G4double G4PAIxSection::GetPlasmonEnergyTransfer()
|
|
{
|
|
G4int iTransfer ;
|
|
|
|
G4double energyTransfer, position;
|
|
|
|
position = fIntegralPlasmon[1]*G4UniformRand();
|
|
|
|
for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
|
|
{
|
|
if( position >= fIntegralPlasmon[iTransfer] ) break;
|
|
}
|
|
if(iTransfer > fSplineNumber) iTransfer--;
|
|
|
|
energyTransfer = fSplineEnergy[iTransfer];
|
|
|
|
if(iTransfer > 1)
|
|
{
|
|
energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
|
|
}
|
|
return energyTransfer;
|
|
}
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns random resonance energy loss over step
|
|
|
|
G4double G4PAIxSection::GetStepResonanceLoss( G4double step )
|
|
{
|
|
G4long numOfCollisions;
|
|
G4double meanNumber, loss = 0.0;
|
|
|
|
// G4cout<<" G4PAIxSection::GetStepCreLosnkovs "<<G4endl;
|
|
|
|
meanNumber = fIntegralResonance[1]*step;
|
|
numOfCollisions = G4Poisson(meanNumber);
|
|
|
|
// G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
|
|
|
|
while(numOfCollisions)
|
|
{
|
|
loss += GetResonanceEnergyTransfer();
|
|
numOfCollisions--;
|
|
}
|
|
// G4cout<<"PAI resonance loss = "<<loss/keV<<" keV"<<G4endl;
|
|
|
|
return loss;
|
|
}
|
|
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns resonance energy transfer in one collision
|
|
|
|
G4double G4PAIxSection::GetResonanceEnergyTransfer()
|
|
{
|
|
G4int iTransfer ;
|
|
|
|
G4double energyTransfer, position;
|
|
|
|
position = fIntegralResonance[1]*G4UniformRand();
|
|
|
|
for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
|
|
{
|
|
if( position >= fIntegralResonance[iTransfer] ) break;
|
|
}
|
|
if(iTransfer > fSplineNumber) iTransfer--;
|
|
|
|
energyTransfer = fSplineEnergy[iTransfer];
|
|
|
|
if(iTransfer > 1)
|
|
{
|
|
energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
|
|
}
|
|
return energyTransfer;
|
|
}
|
|
|
|
|
|
/////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Returns Rutherford energy transfer in one collision
|
|
|
|
G4double G4PAIxSection::GetRutherfordEnergyTransfer()
|
|
{
|
|
G4int iTransfer ;
|
|
|
|
G4double energyTransfer, position;
|
|
|
|
position = (fIntegralPlasmon[1]-fIntegralResonance[1])*G4UniformRand();
|
|
|
|
for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
|
|
{
|
|
if( position >= (fIntegralPlasmon[iTransfer]-fIntegralResonance[iTransfer]) ) break;
|
|
}
|
|
if(iTransfer > fSplineNumber) iTransfer--;
|
|
|
|
energyTransfer = fSplineEnergy[iTransfer];
|
|
|
|
if(iTransfer > 1)
|
|
{
|
|
energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
|
|
}
|
|
return energyTransfer;
|
|
}
|
|
|
|
|
|
/////////////////////////////////////////////////////////////////////////////
|
|
//
|
|
// Init array of Lorentz factors
|
|
//
|
|
|
|
G4int G4PAIxSection::fNumberOfGammas = 111;
|
|
|
|
const G4double G4PAIxSection::fLorentzFactor[112] = // fNumberOfGammas+1
|
|
{
|
|
0.0,
|
|
1.094989e+00, 1.107813e+00, 1.122369e+00, 1.138890e+00, 1.157642e+00,
|
|
1.178925e+00, 1.203082e+00, 1.230500e+00, 1.261620e+00, 1.296942e+00, // 10
|
|
1.337032e+00, 1.382535e+00, 1.434181e+00, 1.492800e+00, 1.559334e+00,
|
|
1.634850e+00, 1.720562e+00, 1.817845e+00, 1.928263e+00, 2.053589e+00, // 20
|
|
2.195835e+00, 2.357285e+00, 2.540533e+00, 2.748522e+00, 2.984591e+00,
|
|
3.252533e+00, 3.556649e+00, 3.901824e+00, 4.293602e+00, 4.738274e+00, // 30
|
|
5.242981e+00, 5.815829e+00, 6.466019e+00, 7.203990e+00, 8.041596e+00,
|
|
8.992288e+00, 1.007133e+01, 1.129606e+01, 1.268614e+01, 1.426390e+01, // 40
|
|
1.605467e+01, 1.808721e+01, 2.039417e+01, 2.301259e+01, 2.598453e+01,
|
|
2.935771e+01, 3.318630e+01, 3.753180e+01, 4.246399e+01, 4.806208e+01, // 50
|
|
5.441597e+01, 6.162770e+01, 6.981310e+01, 7.910361e+01, 8.964844e+01,
|
|
1.016169e+02, 1.152013e+02, 1.306197e+02, 1.481198e+02, 1.679826e+02, // 60
|
|
1.905270e+02, 2.161152e+02, 2.451581e+02, 2.781221e+02, 3.155365e+02,
|
|
3.580024e+02, 4.062016e+02, 4.609081e+02, 5.230007e+02, 5.934765e+02, // 70
|
|
6.734672e+02, 7.642575e+02, 8.673056e+02, 9.842662e+02, 1.117018e+03,
|
|
1.267692e+03, 1.438709e+03, 1.632816e+03, 1.853128e+03, 2.103186e+03, // 80
|
|
2.387004e+03, 2.709140e+03, 3.074768e+03, 3.489760e+03, 3.960780e+03,
|
|
4.495394e+03, 5.102185e+03, 5.790900e+03, 6.572600e+03, 7.459837e+03, // 90
|
|
8.466860e+03, 9.609843e+03, 1.090714e+04, 1.237959e+04, 1.405083e+04,
|
|
1.594771e+04, 1.810069e+04, 2.054434e+04, 2.331792e+04, 2.646595e+04, // 100
|
|
3.003901e+04, 3.409446e+04, 3.869745e+04, 4.392189e+04, 4.985168e+04,
|
|
5.658206e+04, 6.422112e+04, 7.289153e+04, 8.273254e+04, 9.390219e+04, // 110
|
|
1.065799e+05
|
|
};
|
|
|
|
///////////////////////////////////////////////////////////////////////
|
|
//
|
|
// The number of gamma for creation of spline (near ion-min , G ~ 4 )
|
|
//
|
|
|
|
const
|
|
G4int G4PAIxSection::fRefGammaNumber = 29;
|
|
|
|
|
|
//
|
|
// end of G4PAIxSection implementation file
|
|
//
|
|
////////////////////////////////////////////////////////////////////////////
|
|
|