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Gabriele Cosmo
2016-06-01 15:25:35 +02:00
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// This code implementation is the intellectual property of
// the RD44 GEANT4 collaboration.
//
// By copying, distributing or modifying the Program (or any work
// based on the Program) you indicate your acceptance of this statement,
// and all its terms.
//
// $Id: G4MuIonisation.cc,v 2.6 1998/11/13 13:38:35 urban Exp $
// GEANT4 tag $Name: geant4-00 $
//
//
// --------------------------------------------------------------
// GEANT 4 class implementation file
//
// For information related to this code contact:
// CERN, CN Division, ASD group
// History: first implementation, based on object model of
// 2nd December 1995, G.Cosmo
// ------------ G4MuIonisation physics process -------------
// by Laszlo Urban, September 1997
// ------------------------------------------------------------------
// It is the implementation of the NEW IONISATION PROCESS.
// It calculates the ionisation of muons.
// **************************************************************
// 08-04-98: remove 'tracking cut' of the ionizing particle, MMa
// 26/10/98: new stuff from R.Kokoulin + cleanup , L.Urban
// --------------------------------------------------------------
#include "G4MuIonisation.hh"
#include "G4UnitsTable.hh"
// constructor and destructor
G4MuIonisation::G4MuIonisation(const G4String& processName)
: G4MuEnergyLoss(processName),
LowestKineticEnergy(1.00*keV),
HighestKineticEnergy(1000000.*TeV),
theMeanFreePathTable(NULL),
lastCutInRange(0.),
TotBin(100),
theElectron ( G4Electron::Electron() ),
theMuonPlus ( G4MuonPlus::MuonPlus() ),
theMuonMinus ( G4MuonMinus::MuonMinus() )
{ }
G4MuIonisation::~G4MuIonisation()
{
if (theMeanFreePathTable) {
theMeanFreePathTable->clearAndDestroy();
delete theMeanFreePathTable;
}
}
void G4MuIonisation::SetPhysicsTableBining(G4double lowE, G4double highE,
G4int nBins)
{
LowestKineticEnergy = lowE; HighestKineticEnergy = highE;
TotBin = nBins;
}
void G4MuIonisation::BuildPhysicsTable(const G4ParticleDefinition& aParticleType)
// just call BuildLossTable+BuildLambdaTable
{
G4double Charge = aParticleType.GetPDGCharge();
CutInRange = aParticleType.GetLengthCuts();
BuildLossTable(aParticleType) ;
if(Charge>0.)
{
RecorderOfmuplusProcess[CounterOfmuplusProcess] = (*this).theLossTable ;
CounterOfmuplusProcess++;
}
else
{
RecorderOfmuminusProcess[CounterOfmuminusProcess] = (*this).theLossTable ;
CounterOfmuminusProcess++;
}
if(CutInRange != lastCutInRange)
{
lastCutInRange = CutInRange ;
BuildLambdaTable(aParticleType) ;
}
G4MuEnergyLoss::BuildDEDXTable(aParticleType) ;
if(&aParticleType == theMuonPlus)
PrintInfoDefinition() ;
}
void G4MuIonisation::BuildLossTable(const G4ParticleDefinition& aParticleType)
{
G4double Charge = aParticleType.GetPDGCharge() ;
if(Charge>0.)
ParticleCutInKineticEnergy = theMuonPlus->GetCutsInEnergy() ;
else
ParticleCutInKineticEnergy = theMuonMinus->GetCutsInEnergy() ;
DeltaCutInKineticEnergy = theElectron->GetCutsInEnergy() ;
G4double LowEdgeEnergy , ionloss ;
G4double RateMass ;
G4bool isOutRange ;
static const G4MaterialTable* theMaterialTable=
G4Material::GetMaterialTable();
const G4double twoln10 = 2.*log(10.) ;
const G4double Factor = twopi_mc2_rcl2 ;
const G4double bg2lim = 0.0169 , taulim = 8.4146e-3 ;
ParticleMass = aParticleType.GetPDGMass() ;
RateMass = electron_mass_c2/ParticleMass ;
G4int numOfMaterials = theMaterialTable->length();
if ( theLossTable) {
theLossTable->clearAndDestroy();
delete theLossTable;
}
theLossTable = new G4PhysicsTable(numOfMaterials);
for (G4int J=0; J<numOfMaterials; J++)
{
G4PhysicsLogVector* aVector = new G4PhysicsLogVector(
LowestKineticEnergy, HighestKineticEnergy, TotBin);
G4double ElectronDensity,Eexc,Eexc2,Cden,Mden,Aden,X0den,X1den,taul ;
G4double* ShellCorrectionVector;
const G4Material* material= (*theMaterialTable)[J];
ElectronDensity = material->GetElectronDensity();
Eexc = material->GetIonisation()->GetMeanExcitationEnergy();
Eexc2 = Eexc*Eexc ;
Cden = material->GetIonisation()->GetCdensity();
Mden = material->GetIonisation()->GetMdensity();
Aden = material->GetIonisation()->GetAdensity();
X0den = material->GetIonisation()->GetX0density();
X1den = material->GetIonisation()->GetX1density();
taul = material->GetIonisation()->GetTaul() ;
ShellCorrectionVector = material->GetIonisation()
->GetShellCorrectionVector();
const G4ElementVector* theElementVector=
material->GetElementVector() ;
const G4double* theAtomicNumDensityVector=
material->GetAtomicNumDensityVector() ;
const G4int NumberOfElements=
material->GetNumberOfElements() ;
DeltaCutInKineticEnergyNow = DeltaCutInKineticEnergy[J] ;
G4double tau,tau0,Tmax,gamma,bg2,beta2,rcut,delta,x,sh ;
for (G4int i = 0 ; i < TotBin ; i++)
{
LowEdgeEnergy = aVector->GetLowEdgeEnergy(i) ;
tau = LowEdgeEnergy/ParticleMass ;
if ( tau < taul )
// low energy part , parametrized energy loss formulae
{
ionloss = 0. ;
for (G4int iel=0; iel<NumberOfElements; iel++)
{
const G4Element* element = (*theElementVector)(iel);
if ( tau < element->GetIonisation()->GetTau0())
ionloss += theAtomicNumDensityVector[iel]
*( element->GetIonisation()->GetAlow()*sqrt(tau)
+element->GetIonisation()->GetBlow()*tau) ;
else
ionloss += theAtomicNumDensityVector[iel]
* element->GetIonisation()->GetClow()/sqrt(tau) ;
}
}
else
// high energy part , Bethe-Bloch formula
{
gamma = tau +1. ;
bg2 = tau*(tau+2.) ;
beta2 = bg2/(gamma*gamma) ;
Tmax = 2.*electron_mass_c2*bg2
/(1.+2.*gamma*RateMass+RateMass*RateMass) ;
if ( DeltaCutInKineticEnergyNow < Tmax)
rcut = DeltaCutInKineticEnergyNow/Tmax ;
else
rcut = 1.;
ionloss = log(2.*electron_mass_c2*bg2*Tmax/Eexc2)
+log(rcut)-(1.+rcut)*beta2 ;
// density correction
x = log(bg2)/twoln10 ;
if ( x < X0den )
delta = 0. ;
else
{
delta = twoln10*x - Cden ;
if ( x < X1den )
delta += Aden*pow((X1den-x),Mden) ;
}
// shell correction
if ( bg2 > bg2lim ) {
sh = 0. ;
x = 1. ;
for (G4int k=0; k<=2; k++) {
x *= bg2 ;
sh += ShellCorrectionVector[k]/x;
}
}
else {
sh = 0. ;
x = 1. ;
for (G4int k=0; k<=2; k++) {
x *= bg2lim ;
sh += ShellCorrectionVector[k]/x;
}
sh *= log(tau/taul)/log(taulim/taul) ;
}
ionloss -= delta + sh ;
ionloss /= beta2 ;
// correction of R. Kokoulin
G4double E = LowEdgeEnergy+ParticleMass ;
G4double epmax = RateMass*E*E/(RateMass*E+ParticleMass) ;
G4double apar = log(2.*epmax/electron_mass_c2) ;
ionloss += fine_structure_const*(log(2.*E/ParticleMass)-apar/3.)*
apar*apar/twopi ;
ionloss *= Factor*ElectronDensity ;
}
if ( ionloss <= 0.)
ionloss = 0. ;
aVector->PutValue(i,ionloss) ;
}
theLossTable->insert(aVector);
}
}
void G4MuIonisation::BuildLambdaTable(const G4ParticleDefinition& aParticleType)
{
// Build mean free path tables for the delta ray production process
G4double LowEdgeEnergy , Value ,sigma ;
G4bool isOutRange ;
const G4MaterialTable* theMaterialTable=G4Material::GetMaterialTable();
G4int numOfMaterials = theMaterialTable->length();
if (theMeanFreePathTable) {
theMeanFreePathTable->clearAndDestroy();
delete theMeanFreePathTable;
}
theMeanFreePathTable = new G4PhysicsTable(numOfMaterials);
// get electron and particle cuts in kinetic energy
DeltaCutInKineticEnergy = theElectron->GetCutsInEnergy() ;
ParticleCutInKineticEnergy = aParticleType.GetEnergyCuts() ;
for (G4int J=0 ; J < numOfMaterials; J++)
{
G4PhysicsLogVector* aVector = new G4PhysicsLogVector(
LowestKineticEnergy, HighestKineticEnergy, TotBin);
const G4Material* material= (*theMaterialTable)[J];
const G4ElementVector* theElementVector=
material->GetElementVector() ;
const G4double* theAtomicNumDensityVector =
material->GetAtomicNumDensityVector();
const G4int NumberOfElements=
material->GetNumberOfElements() ;
DeltaCutInKineticEnergyNow = DeltaCutInKineticEnergy[J] ;
for ( G4int i = 0 ; i < TotBin ; i++ )
{
LowEdgeEnergy = aVector->GetLowEdgeEnergy(i) ;
sigma = 0. ;
for (G4int iel=0; iel<NumberOfElements; iel++ )
{
sigma += theAtomicNumDensityVector[iel]*
ComputeMicroscopicCrossSection(aParticleType,
LowEdgeEnergy,
(*theElementVector)(iel)->GetZ() ) ;
}
Value = sigma<=0 ? DBL_MAX : 1./sigma ;
aVector->PutValue(i, Value) ;
}
theMeanFreePathTable->insert(aVector);
}
}
G4double G4MuIonisation::ComputeMicroscopicCrossSection(
const G4ParticleDefinition& aParticleType,
G4double KineticEnergy,
G4double AtomicNumber)
{
const G4double xgi[] = {0.06943,0.33001,0.66999,0.93057} ;
const G4double wgi[] = {0.17393,0.32607,0.32607,0.17393} ;
const G4double ak1 = 4.6 ;
const G4int k2 = 2 ;
const G4double masspar = 0.5*ParticleMass*ParticleMass/electron_mass_c2 ;
G4double TotalEnergy=KineticEnergy + ParticleMass;
G4double KnockonMaxEnergy = TotalEnergy/(1.+masspar/TotalEnergy) ;
G4double TotalCrossSection= 0. ;
if( KnockonMaxEnergy > DeltaCutInKineticEnergyNow )
{
G4double aaa = log(DeltaCutInKineticEnergyNow);
G4double bbb = log(KnockonMaxEnergy) ;
G4int kkk = int((bbb-aaa)/ak1)+k2 ;
G4double hhh = (bbb-aaa)/kkk ;
G4double step = exp(hhh) ;
G4double ymax = 1./KnockonMaxEnergy ;
for (G4int k=0; k<kkk; k++)
{
G4double ymin = ymax ;
ymax = ymin*step ;
G4double hhy = ymax-ymin ;
for (G4int i=0; i<4; i++)
{
G4double y = ymin+hhy*xgi[i];
G4double ep = 1./y ;
TotalCrossSection += ep*ep*wgi[i]*hhy*
ComputeDMicroscopicCrossSection(
aParticleType,KineticEnergy,
AtomicNumber,ep) ;
}
}
}
return TotalCrossSection ;
}
G4double G4MuIonisation::ComputeDMicroscopicCrossSection(
const G4ParticleDefinition& ParticleType,
G4double KineticEnergy, G4double AtomicNumber,
G4double KnockonEnergy)
// Calculates the differential (D) microscopic cross section
// using the cross section formula of R.P. Kokoulin (10/98)
{
const G4double masspar=0.5*ParticleMass*ParticleMass/electron_mass_c2 ;
const G4double alphaprime = fine_structure_const/twopi ;
G4double TotalEnergy = KineticEnergy + ParticleMass ;
G4double KnockonMaxEnergy = TotalEnergy/(1.+masspar/TotalEnergy) ;
G4double DCrossSection = 0. ;
if(KnockonEnergy >= KnockonMaxEnergy) return DCrossSection ;
G4double v = KnockonEnergy/TotalEnergy ;
DCrossSection = twopi_mc2_rcl2*AtomicNumber*
(1.-KnockonEnergy/KnockonMaxEnergy+0.5*v*v)/
(KnockonEnergy*KnockonEnergy) ;
G4double a1 = log(1.+2.*KnockonEnergy/electron_mass_c2) ;
G4double a3 = log(4.*TotalEnergy*(TotalEnergy-KnockonEnergy)/
(ParticleMass*ParticleMass)) ;
DCrossSection *= (1.+alphaprime*a1*(a3-a1)) ;
return DCrossSection ;
}
G4VParticleChange* G4MuIonisation::PostStepDoIt(
const G4Track& trackData,
const G4Step& stepData)
{
const G4DynamicParticle* aParticle ;
const G4double alphaprime = fine_structure_const/twopi ;
G4Material* aMaterial;
G4double KineticEnergy,TotalEnergy,TotalMomentum,
betasquare,MaxKineticEnergyTransfer,
DeltaKineticEnergy,DeltaTotalMomentum,costheta,sintheta,phi,
dirx,diry,dirz,finalKineticEnergy,finalPx,finalPy,finalPz,
x,xc,te2,grej,Psquare,Esquare,summass,rate,grejc,finalMomentum ;
G4double Charge ;
aParticleChange.Initialize(trackData) ;
aMaterial = trackData.GetMaterial() ;
aParticle = trackData.GetDynamicParticle() ;
Charge=aParticle->GetDefinition()->GetPDGCharge();
KineticEnergy=aParticle->GetKineticEnergy();
TotalEnergy=KineticEnergy + ParticleMass ;
Psquare=KineticEnergy*(TotalEnergy+ParticleMass) ;
Esquare=TotalEnergy*TotalEnergy ;
summass = ParticleMass + electron_mass_c2 ;
G4ParticleMomentum ParticleDirection = aParticle->GetMomentumDirection() ;
DeltaCutInKineticEnergyNow = DeltaCutInKineticEnergy[aMaterial->GetIndex()];
// some kinematics......................
betasquare=Psquare/Esquare ;
MaxKineticEnergyTransfer = 2.*electron_mass_c2*Psquare
/(summass*summass+2.*electron_mass_c2*KineticEnergy);
// sampling kinetic energy of the delta ray
if( MaxKineticEnergyTransfer <= DeltaCutInKineticEnergyNow )
{
// pathological case (it should not happen ,
return G4VContinuousDiscreteProcess::PostStepDoIt(trackData,stepData);
}
else
{
// normal case ......................................
xc=DeltaCutInKineticEnergyNow/MaxKineticEnergyTransfer ;
rate=MaxKineticEnergyTransfer/TotalEnergy ;
te2=0.5*rate*rate ;
// sampling follows ...
G4double a0=log(2.*TotalEnergy/ParticleMass) ;
grejc=(1.-betasquare*xc+te2*xc*xc)*
(1.+ alphaprime*a0*a0) ;
do {
x=xc/(1.-(1.-xc)*G4UniformRand());
G4double twoep = 2.*x*MaxKineticEnergyTransfer ;
grej=(1.-x*(betasquare-x*te2))*
(1.+alphaprime*log(1.+twoep/electron_mass_c2)*
(a0+log((2.*TotalEnergy-twoep)/ParticleMass)-
log(1.+twoep/electron_mass_c2)))
/grejc ;
} while( G4UniformRand()>grej );
}
DeltaKineticEnergy = x * MaxKineticEnergyTransfer ;
if(DeltaKineticEnergy <= 0.)
return G4VContinuousDiscreteProcess::PostStepDoIt(trackData,stepData);
DeltaTotalMomentum = sqrt(DeltaKineticEnergy * (DeltaKineticEnergy +
2. * electron_mass_c2 )) ;
TotalMomentum = sqrt(Psquare) ;
costheta = DeltaKineticEnergy * (TotalEnergy + electron_mass_c2)
/(DeltaTotalMomentum * TotalMomentum) ;
// protection against costheta > 1 or < -1 ---------------
if ( costheta < -1. )
costheta = -1. ;
if ( costheta > +1. )
costheta = +1. ;
// direction of the delta electron ........
phi = twopi * G4UniformRand() ;
sintheta = sqrt((1.+costheta)*(1.-costheta));
dirx = sintheta * cos(phi) ;
diry = sintheta * sin(phi) ;
dirz = costheta ;
G4ThreeVector DeltaDirection(dirx,diry,dirz) ;
DeltaDirection.rotateUz(ParticleDirection) ;
// create G4DynamicParticle object for delta ray
G4DynamicParticle *theDeltaRay = new G4DynamicParticle;
theDeltaRay->SetKineticEnergy( DeltaKineticEnergy );
theDeltaRay->SetMomentumDirection(
DeltaDirection.x(),DeltaDirection.y(),DeltaDirection.z());
theDeltaRay->SetDefinition(G4Electron::Electron());
finalKineticEnergy = KineticEnergy - DeltaKineticEnergy ;
if (finalKineticEnergy > 0. )
{
// changed energy and momentum of the actual particle
finalMomentum=sqrt(finalKineticEnergy*
(finalKineticEnergy+2.*ParticleMass)) ;
finalPx = (TotalMomentum*ParticleDirection.x()
-DeltaTotalMomentum*DeltaDirection.x())/finalMomentum ;
finalPy = (TotalMomentum*ParticleDirection.y()
-DeltaTotalMomentum*DeltaDirection.y())/finalMomentum ;
finalPz = (TotalMomentum*ParticleDirection.z()
-DeltaTotalMomentum*DeltaDirection.z())/finalMomentum ;
aParticleChange.SetMomentumChange( finalPx,finalPy,finalPz );
}
else
{
finalKineticEnergy = 0. ;
aParticleChange.SetStatusChange(fStopButAlive);
}
aParticleChange.SetEnergyChange( finalKineticEnergy );
aParticleChange.SetNumberOfSecondaries(1);
aParticleChange.AddSecondary( theDeltaRay );
aParticleChange.SetLocalEnergyDeposit (0.);
return G4VContinuousDiscreteProcess::PostStepDoIt(trackData,stepData);
}
void G4MuIonisation::PrintInfoDefinition()
{
G4String comments = "knock-on electron cross sections .\n ";
comments += " Good description above the mean excitation energy.\n";
comments += " delta ray energy sampled from differential Xsection." ;
G4cout << endl << GetProcessName() << ": " << comments
<< "\n PhysicsTables from " << G4BestUnit(LowestKineticEnergy,
"Energy")
<< " to " << G4BestUnit(HighestKineticEnergy,"Energy")
<< " in " << TotBin << " bins. \n";
}