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geant4/source/processes/electromagnetic/standard/src/G4GoudsmitSaundersonMscModel.cc
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2016-06-09 17:01:34 +02:00

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// $Id$
//
// -------------------------------------------------------------------
//
// GEANT4 Class file
//
// File name: G4GoudsmitSaundersonMscModel
//
// Author: Omrane Kadri
//
// Creation date: 20.02.2009
//
// Modifications:
// 04.03.2009 V.Ivanchenko cleanup and format according to Geant4 EM style
//
// 15.04.2009 O.Kadri: cleanup: discard no scattering and single scattering theta
// sampling from SampleCosineTheta() which means the splitting
// step into two sub-steps occur only for msc regime
//
// 12.06.2009 O.Kadri: linear log-log extrapolation of lambda0 & lambda1 between 1 GeV - 100 TeV
// adding a theta min limit due to screening effect of the atomic nucleus
// 26.08.2009 O.Kadri: Cubic Spline interpolation was replaced with polynomial method
// within CalculateIntegrals method
// 05.10.2009 O.Kadri: tuning small angle theta distributions
// assuming the case of lambdan<1 as single scattering regime
// tuning theta sampling for theta below the screening angle
// 08.02.2010 O.Kadri: bugfix in compound xsection calculation and small angle computation
// adding a rejection condition to hard collision angular sampling
// ComputeTruePathLengthLimit was taken from G4WentzelVIModel
// 26.03.2010 O.Kadri: direct xsection calculation not inverse of the inverse
// angular sampling without large angle rejection method
// longitudinal displacement is computed exactly from <z>
// 12.05.2010 O.Kadri: exchange between target and projectile has as a condition the particle type (e-/e-)
// some cleanup to minimize time consuming (adding lamdan12 & Qn12, changing the error to 1.0e-12 for scrA)
//
//
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
//REFERENCES:
//Ref.1:E. Benedito et al.,"Mixed simulation ... cross-sections", NIMB 174 (2001) pp 91-110;
//Ref.2:I. Kawrakow et al.,"On the condensed ... transport",NIMB 142 (1998) pp 253-280;
//Ref.3:I. Kawrakow et al.,"On the representation ... calculations",NIMB 134 (1998) pp 325-336;
//Ref.4:Bielajew et al.,".....", NIMB 173 (2001) 332-343;
//Ref.5:F. Salvat et al.,"ELSEPA--Dirac partial ...molecules", Comp.Phys.Comm.165 (2005) pp 157-190;
//Ref.6:G4UrbanMscModel G4 9.2;
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
#include "G4GoudsmitSaundersonMscModel.hh"
#include "G4GoudsmitSaundersonTable.hh"
#include "G4PhysicalConstants.hh"
#include "G4SystemOfUnits.hh"
#include "G4ParticleChangeForMSC.hh"
#include "G4MaterialCutsCouple.hh"
#include "G4DynamicParticle.hh"
#include "G4Electron.hh"
#include "G4Positron.hh"
#include "G4LossTableManager.hh"
#include "G4Track.hh"
#include "G4PhysicsTable.hh"
#include "Randomize.hh"
using namespace std;
G4double G4GoudsmitSaundersonMscModel::ener[] = {-1.};
G4double G4GoudsmitSaundersonMscModel::TCSE[103][106] ;
G4double G4GoudsmitSaundersonMscModel::FTCSE[103][106] ;
G4double G4GoudsmitSaundersonMscModel::TCSP[103][106] ;
G4double G4GoudsmitSaundersonMscModel::FTCSP[103][106] ;
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4GoudsmitSaundersonMscModel::G4GoudsmitSaundersonMscModel(const G4String& nam)
: G4VMscModel(nam),lowKEnergy(0.1*keV),highKEnergy(100.*TeV)
{
currentKinEnergy=currentRange=skindepth=par1=par2=par3
=zPathLength=truePathLength
=tausmall=taulim=tlimit=charge=lambdalimit=tPathLength=lambda0=lambda1
=lambda11=mass=0.0;
currentMaterialIndex = -1;
fr=0.02,rangeinit=0.,masslimite=0.6*MeV,
particle=0;tausmall=1.e-16;taulim=1.e-6;tlimit=1.e10*mm;
tlimitmin=10.e-6*mm;geombig=1.e50*mm;geommin=1.e-3*mm,tgeom=geombig;
tlimitminfix=1.e-6*mm;stepmin=tlimitminfix;lambdalimit=1.*mm;smallstep=1.e10;
theManager=G4LossTableManager::Instance();
inside=false;insideskin=false;
samplez=false;
firstStep = true;
GSTable = new G4GoudsmitSaundersonTable();
if(ener[0] < 0.0){
G4cout << "### G4GoudsmitSaundersonMscModel loading ELSEPA data" << G4endl;
LoadELSEPAXSections();
}
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4GoudsmitSaundersonMscModel::~G4GoudsmitSaundersonMscModel()
{
delete GSTable;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
void G4GoudsmitSaundersonMscModel::Initialise(const G4ParticleDefinition* p,
const G4DataVector&)
{
skindepth=skin*stepmin;
SetParticle(p);
fParticleChange = GetParticleChangeForMSC(p);
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4double
G4GoudsmitSaundersonMscModel::ComputeCrossSectionPerAtom(const G4ParticleDefinition* p,
G4double kineticEnergy,G4double Z, G4double, G4double, G4double)
{
G4double kinEnergy = kineticEnergy;
if(kinEnergy<lowKEnergy) kinEnergy=lowKEnergy;
if(kinEnergy>highKEnergy)kinEnergy=highKEnergy;
G4double cs(0.0), cs0(0.0);
CalculateIntegrals(p,Z,kinEnergy,cs0,cs);
return cs;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
G4ThreeVector&
G4GoudsmitSaundersonMscModel::SampleScattering(const G4DynamicParticle* dynParticle, G4double)
{
fDisplacement.set(0.0,0.0,0.0);
G4double kineticEnergy = dynParticle->GetKineticEnergy();
if((kineticEnergy <= 0.0) || (tPathLength <= tlimitminfix)||
(tPathLength/tausmall < lambda1)) { return fDisplacement; }
///////////////////////////////////////////
// Effective energy
G4double eloss = 0.0;
if (tPathLength > currentRange*dtrl) {
eloss = kineticEnergy -
GetEnergy(particle,currentRange-tPathLength,currentCouple);
} else {
eloss = tPathLength*GetDEDX(particle,kineticEnergy,currentCouple);
}
/*
G4double ttau = kineticEnergy/electron_mass_c2;
G4double ttau2 = ttau*ttau;
G4double epsilonpp = eloss/kineticEnergy;
G4double cst1 = epsilonpp*epsilonpp*(6+10*ttau+5*ttau2)/(24*ttau2+48*ttau+72);
kineticEnergy *= (1 - cst1);
*/
kineticEnergy -= 0.5*eloss;
///////////////////////////////////////////
// additivity rule for mixture and compound xsection's
const G4Material* mat = currentCouple->GetMaterial();
const G4ElementVector* theElementVector = mat->GetElementVector();
const G4double* theAtomNumDensityVector = mat->GetVecNbOfAtomsPerVolume();
G4int nelm = mat->GetNumberOfElements();
G4double s0(0.0), s1(0.0);
lambda0 = 0.0;
for(G4int i=0;i<nelm;i++)
{
CalculateIntegrals(particle,(*theElementVector)[i]->GetZ(),kineticEnergy,s0,s1);
lambda0 += (theAtomNumDensityVector[i]*s0);
}
if(lambda0>0.0) lambda0 =1./lambda0;
// Newton-Raphson root's finding method of scrA from:
// Sig1(PWA)/Sig0(PWA)=g1=2*scrA*((1+scrA)*log(1+1/scrA)-1)
G4double g1=0.0;
if(lambda1>0.0) { g1 = lambda0/lambda1; }
G4double logx0,x1,delta;
G4double x0=g1*0.5;
// V.Ivanchenko added limit of the loop
for(G4int i=0;i<1000;++i)
{
logx0=std::log(1.+1./x0);
x1 = x0-(x0*((1.+x0)*logx0-1.0)-g1*0.5)/( (1.+2.*x0)*logx0-2.0);
// V.Ivanchenko cut step size of iterative procedure
if(x1 < 0.0) { x1 = 0.5*x0; }
else if(x1 > 2*x0) { x1 = 2*x0; }
else if(x1 < 0.5*x0) { x1 = 0.5*x0; }
delta = std::fabs( x1 - x0 );
x0 = x1;
if(delta < 1.0e-3*x1) { break;}
}
G4double scrA = x1;
G4double lambdan=0.;
if(lambda0>0.0) { lambdan=tPathLength/lambda0; }
if(lambdan<=1.0e-12) { return fDisplacement; }
//G4cout << "E(eV)= " << kineticEnergy/eV << " L0= " << lambda0
// << " L1= " << lambda1 << G4endl;
G4double Qn1 = lambdan *g1;//2.* lambdan *scrA*((1.+scrA)*log(1.+1./scrA)-1.);
G4double Qn12 = 0.5*Qn1;
G4double cosTheta1,sinTheta1,cosTheta2,sinTheta2;
G4double cosPhi1=1.0,sinPhi1=0.0,cosPhi2=1.0,sinPhi2=0.0;
G4double us=0.0,vs=0.0,ws=1.0,wss=0.,x_coord=0.0,y_coord=0.0,z_coord=1.0;
G4double epsilon1=G4UniformRand();
G4double expn = std::exp(-lambdan);
if(epsilon1<expn)// no scattering
{ return fDisplacement; }
else if((epsilon1<((1.+lambdan)*expn))||(lambdan<1.))//single or plural scattering (Rutherford DCS's)
{
G4double xi=G4UniformRand();
xi= 2.*scrA*xi/(1.-xi + scrA);
if(xi<0.)xi=0.;
else if(xi>2.)xi=2.;
ws=(1. - xi);
wss=std::sqrt(xi*(2.-xi));
G4double phi0=CLHEP::twopi*G4UniformRand();
us=wss*cos(phi0);
vs=wss*sin(phi0);
}
else // multiple scattering
{
// Ref.2 subsection 4.4 "The best solution found"
// Sample first substep scattering angle
SampleCosineTheta(0.5*lambdan,scrA,cosTheta1,sinTheta1);
G4double phi1 = CLHEP::twopi*G4UniformRand();
cosPhi1 = cos(phi1);
sinPhi1 = sin(phi1);
// Sample second substep scattering angle
SampleCosineTheta(0.5*lambdan,scrA,cosTheta2,sinTheta2);
G4double phi2 = CLHEP::twopi*G4UniformRand();
cosPhi2 = cos(phi2);
sinPhi2 = sin(phi2);
// Overall scattering direction
us = sinTheta2*(cosTheta1*cosPhi1*cosPhi2 - sinPhi1*sinPhi2) + cosTheta2*sinTheta1*cosPhi1;
vs = sinTheta2*(cosTheta1*sinPhi1*cosPhi2 + cosPhi1*sinPhi2) + cosTheta2*sinTheta1*sinPhi1;
ws = cosTheta1*cosTheta2 - sinTheta1*sinTheta2*cosPhi2;
G4double sqrtA=sqrt(scrA);
if(acos(ws)<sqrtA)//small angle approximation for theta less than screening angle
{
G4int i=0;
do{i++;
ws=1.+Qn12*log(G4UniformRand());
}while((fabs(ws)>1.)&&(i<20));//i<20 to avoid time consuming during the run
if(i>=19)ws=cos(sqrtA);
wss=std::sqrt((1.-ws*ws));
us=wss*std::cos(phi1);
vs=wss*std::sin(phi1);
}
}
G4ThreeVector oldDirection = dynParticle->GetMomentumDirection();
G4ThreeVector newDirection(us,vs,ws);
newDirection.rotateUz(oldDirection);
fParticleChange->ProposeMomentumDirection(newDirection);
// corresponding to error less than 1% in the exact formula of <z>
if(Qn1<0.02) { z_coord = 1.0 - Qn1*(0.5 - Qn1/6.); }
else { z_coord = (1.-std::exp(-Qn1))/Qn1; }
G4double rr = zPathLength*std::sqrt((1.- z_coord*z_coord)/(1.-ws*ws));
x_coord = rr*us;
y_coord = rr*vs;
// displacement is computed relatively to the end point
z_coord -= 1.0;
z_coord *= zPathLength;
/*
G4cout << "G4GS::SampleSecondaries: e(MeV)= " << kineticEnergy
<< " sinTheta= " << sqrt(1.0 - ws*ws)
<< " trueStep(mm)= " << tPathLength
<< " geomStep(mm)= " << zPathLength
<< G4endl;
*/
fDisplacement.set(x_coord,y_coord,z_coord);
fDisplacement.rotateUz(oldDirection);
return fDisplacement;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
void
G4GoudsmitSaundersonMscModel::SampleCosineTheta(G4double lambdan, G4double scrA,
G4double &cost, G4double &sint)
{
G4double r1,tet,xi=0.;
G4double Qn1 = 2.* lambdan;
if(scrA < 10.) { Qn1 *= scrA*((1.+scrA)*log(1.+1./scrA)-1.); }
else { Qn1*= (1.0 - 0.5/scrA - 0.5/(scrA*scrA)) ; }
if (Qn1<0.001)
{
do{
r1=G4UniformRand();
xi=-0.5*Qn1*log(G4UniformRand());
tet=acos(1.-xi);
}while(tet*r1*r1>sin(tet));
}
else if(Qn1>0.5) { xi=2.*G4UniformRand(); }//isotropic distribution
else{ xi=2.*(GSTable->SampleTheta(lambdan,scrA,G4UniformRand()));}
if(xi<0.)xi=0.;
else if(xi>2.)xi=2.;
cost=(1. - xi);
sint=sqrt(xi*(2.-xi));
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
// Polynomial log-log interpolation of Lambda0 and Lambda1 between 100 eV - 1 GeV
// linear log-log extrapolation between 1 GeV - 100 TeV
void
G4GoudsmitSaundersonMscModel::CalculateIntegrals(const G4ParticleDefinition* p,G4double Z,
G4double kinEnergy,G4double &Sig0,
G4double &Sig1)
{
G4double x1,x2,y1,y2,acoeff,bcoeff;
G4double kineticE = kinEnergy;
if(kineticE<lowKEnergy)kineticE=lowKEnergy;
if(kineticE>highKEnergy)kineticE=highKEnergy;
kineticE /= eV;
G4double logE=std::log(kineticE);
G4int iZ = G4int(Z);
if(iZ > 103) iZ = 103;
G4int enerInd=0;
for(G4int i=0;i<105;i++)
{
if((logE>=ener[i])&&(logE<ener[i+1])){enerInd=i;break;}
}
if(p==G4Electron::Electron())
{
if(kineticE<=1.0e+9)//Interpolation of the form y=ax²+b
{
x1=ener[enerInd];
x2=ener[enerInd+1];
y1=TCSE[iZ-1][enerInd];
y2=TCSE[iZ-1][enerInd+1];
acoeff=(y2-y1)/(x2*x2-x1*x1);
bcoeff=y2-acoeff*x2*x2;
Sig0=acoeff*logE*logE+bcoeff;
Sig0 =std::exp(Sig0);
y1=FTCSE[iZ-1][enerInd];
y2=FTCSE[iZ-1][enerInd+1];
acoeff=(y2-y1)/(x2*x2-x1*x1);
bcoeff=y2-acoeff*x2*x2;
Sig1=acoeff*logE*logE+bcoeff;
Sig1=std::exp(Sig1);
}
else //Interpolation of the form y=ax+b
{
x1=ener[104];
x2=ener[105];
y1=TCSE[iZ-1][104];
y2=TCSE[iZ-1][105];
Sig0=(y2-y1)*(logE-x1)/(x2-x1)+y1;
Sig0=std::exp(Sig0);
y1=FTCSE[iZ-1][104];
y2=FTCSE[iZ-1][105];
Sig1=(y2-y1)*(logE-x1)/(x2-x1)+y1;
Sig1=std::exp(Sig1);
}
}
if(p==G4Positron::Positron())
{
if(kinEnergy<=1.0e+9)
{
x1=ener[enerInd];
x2=ener[enerInd+1];
y1=TCSP[iZ-1][enerInd];
y2=TCSP[iZ-1][enerInd+1];
acoeff=(y2-y1)/(x2*x2-x1*x1);
bcoeff=y2-acoeff*x2*x2;
Sig0=acoeff*logE*logE+bcoeff;
Sig0 =std::exp(Sig0);
y1=FTCSP[iZ-1][enerInd];
y2=FTCSP[iZ-1][enerInd+1];
acoeff=(y2-y1)/(x2*x2-x1*x1);
bcoeff=y2-acoeff*x2*x2;
Sig1=acoeff*logE*logE+bcoeff;
Sig1=std::exp(Sig1);
}
else
{
x1=ener[104];
x2=ener[105];
y1=TCSP[iZ-1][104];
y2=TCSP[iZ-1][105];
Sig0=(y2-y1)*(logE-x1)/(x2-x1)+y1;
Sig0 =std::exp(Sig0);
y1=FTCSP[iZ-1][104];
y2=FTCSP[iZ-1][105];
Sig1=(y2-y1)*(logE-x1)/(x2-x1)+y1;
Sig1=std::exp(Sig1);
}
}
Sig0 *= barn;
Sig1 *= barn;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
void G4GoudsmitSaundersonMscModel::StartTracking(G4Track* track)
{
SetParticle(track->GetDynamicParticle()->GetDefinition());
firstStep = true;
inside = false;
insideskin = false;
tlimit = geombig;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
//t->g->t step transformations taken from Ref.6
G4double
G4GoudsmitSaundersonMscModel::ComputeTruePathLengthLimit(const G4Track& track,
G4double& currentMinimalStep)
{
tPathLength = currentMinimalStep;
const G4DynamicParticle* dp = track.GetDynamicParticle();
G4StepPoint* sp = track.GetStep()->GetPreStepPoint();
G4StepStatus stepStatus = sp->GetStepStatus();
currentCouple = track.GetMaterialCutsCouple();
SetCurrentCouple(currentCouple);
currentMaterialIndex = currentCouple->GetIndex();
currentKinEnergy = dp->GetKineticEnergy();
currentRange = GetRange(particle,currentKinEnergy,currentCouple);
lambda1 = GetTransportMeanFreePath(particle,currentKinEnergy);
// stop here if small range particle
if(inside || tPathLength < tlimitminfix) {
return ConvertTrueToGeom(tPathLength, currentMinimalStep);
}
if(tPathLength > currentRange) tPathLength = currentRange;
G4double presafety = sp->GetSafety();
//G4cout << "G4GS::StepLimit tPathLength= "
// <<tPathLength<<" safety= " << presafety
// << " range= " <<currentRange<< " lambda= "<<lambda1
// << " Alg: " << steppingAlgorithm <<G4endl;
// far from geometry boundary
if(currentRange < presafety)
{
inside = true;
return ConvertTrueToGeom(tPathLength, currentMinimalStep);
}
// standard version
//
if (steppingAlgorithm == fUseDistanceToBoundary)
{
//compute geomlimit and presafety
G4double geomlimit = ComputeGeomLimit(track, presafety, tPathLength);
// is far from boundary
if(currentRange <= presafety)
{
inside = true;
return ConvertTrueToGeom(tPathLength, currentMinimalStep);
}
smallstep += 1.;
insideskin = false;
if(firstStep || stepStatus == fGeomBoundary)
{
rangeinit = currentRange;
if(firstStep) smallstep = 1.e10;
else smallstep = 1.;
//define stepmin here (it depends on lambda!)
//rough estimation of lambda_elastic/lambda_transport
G4double rat = currentKinEnergy/MeV ;
rat = 1.e-3/(rat*(10.+rat)) ;
//stepmin ~ lambda_elastic
stepmin = rat*lambda1;
skindepth = skin*stepmin;
//define tlimitmin
tlimitmin = 10.*stepmin;
if(tlimitmin < tlimitminfix) tlimitmin = tlimitminfix;
//G4cout << "rangeinit= " << rangeinit << " stepmin= " << stepmin
// << " tlimitmin= " << tlimitmin << " geomlimit= " << geomlimit <<G4endl;
// constraint from the geometry
if((geomlimit < geombig) && (geomlimit > geommin))
{
if(stepStatus == fGeomBoundary)
tgeom = geomlimit/facgeom;
else
tgeom = 2.*geomlimit/facgeom;
}
else
tgeom = geombig;
}
//step limit
tlimit = facrange*rangeinit;
if(tlimit < facsafety*presafety)
tlimit = facsafety*presafety;
//lower limit for tlimit
if(tlimit < tlimitmin) tlimit = tlimitmin;
if(tlimit > tgeom) tlimit = tgeom;
//G4cout << "tgeom= " << tgeom << " geomlimit= " << geomlimit
// << " tlimit= " << tlimit << " presafety= " << presafety << G4endl;
// shortcut
if((tPathLength < tlimit) && (tPathLength < presafety) &&
(smallstep >= skin) && (tPathLength < geomlimit-0.999*skindepth))
return ConvertTrueToGeom(tPathLength, currentMinimalStep);
// step reduction near to boundary
if(smallstep < skin)
{
tlimit = stepmin;
insideskin = true;
}
else if(geomlimit < geombig)
{
if(geomlimit > skindepth)
{
if(tlimit > geomlimit-0.999*skindepth)
tlimit = geomlimit-0.999*skindepth;
}
else
{
insideskin = true;
if(tlimit > stepmin) tlimit = stepmin;
}
}
if(tlimit < stepmin) tlimit = stepmin;
if(tPathLength > tlimit) tPathLength = tlimit;
}
// for 'normal' simulation with or without magnetic field
// there no small step/single scattering at boundaries
else if(steppingAlgorithm == fUseSafety)
{
// compute presafety again if presafety <= 0 and no boundary
// i.e. when it is needed for optimization purposes
if((stepStatus != fGeomBoundary) && (presafety < tlimitminfix))
presafety = ComputeSafety(sp->GetPosition(),tPathLength);
// is far from boundary
if(currentRange < presafety)
{
inside = true;
return ConvertTrueToGeom(tPathLength, currentMinimalStep);
}
if(firstStep || stepStatus == fGeomBoundary)
{
rangeinit = currentRange;
fr = facrange;
// 9.1 like stepping for e+/e- only (not for muons,hadrons)
if(mass < masslimite)
{
if(lambda1 > currentRange)
rangeinit = lambda1;
if(lambda1 > lambdalimit)
fr *= 0.75+0.25*lambda1/lambdalimit;
}
//lower limit for tlimit
G4double rat = currentKinEnergy/MeV ;
rat = 1.e-3/(rat*(10.+rat)) ;
tlimitmin = 10.*lambda1*rat;
if(tlimitmin < tlimitminfix) tlimitmin = tlimitminfix;
}
//step limit
tlimit = fr*rangeinit;
if(tlimit < facsafety*presafety)
tlimit = facsafety*presafety;
//lower limit for tlimit
if(tlimit < tlimitmin) tlimit = tlimitmin;
if(tPathLength > tlimit) tPathLength = tlimit;
}
// version similar to 7.1 (needed for some experiments)
else
{
if (stepStatus == fGeomBoundary)
{
if (currentRange > lambda1) tlimit = facrange*currentRange;
else tlimit = facrange*lambda1;
if(tlimit < tlimitmin) tlimit = tlimitmin;
if(tPathLength > tlimit) tPathLength = tlimit;
}
}
//G4cout << "tPathLength= " << tPathLength
// << " currentMinimalStep= " << currentMinimalStep << G4endl;
return ConvertTrueToGeom(tPathLength, currentMinimalStep);
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
// taken from Ref.6
G4double G4GoudsmitSaundersonMscModel::ComputeGeomPathLength(G4double)
{
firstStep = false;
par1 = -1. ;
par2 = par3 = 0. ;
// do the true -> geom transformation
zPathLength = tPathLength;
// z = t for very small tPathLength
if(tPathLength < tlimitminfix) { return zPathLength; }
// this correction needed to run MSC with eIoni and eBrem inactivated
// and makes no harm for a normal run
if(tPathLength > currentRange)
{ tPathLength = currentRange; }
G4double tau = tPathLength/lambda1 ;
if ((tau <= tausmall) || insideskin) {
zPathLength = tPathLength;
if(zPathLength > lambda1) { zPathLength = lambda1; }
return zPathLength;
}
G4double zmean = tPathLength;
if (tPathLength < currentRange*dtrl) {
if(tau < taulim) zmean = tPathLength*(1.-0.5*tau) ;
else zmean = lambda1*(1.-exp(-tau));
} else if(currentKinEnergy < mass || tPathLength == currentRange) {
par1 = 1./currentRange ;
par2 = 1./(par1*lambda1) ;
par3 = 1.+par2 ;
if(tPathLength < currentRange)
zmean = (1.-exp(par3*log(1.-tPathLength/currentRange)))/(par1*par3) ;
else
zmean = 1./(par1*par3) ;
} else {
G4double T1 = GetEnergy(particle,currentRange-tPathLength,currentCouple);
lambda11 = GetTransportMeanFreePath(particle,T1);
par1 = (lambda1-lambda11)/(lambda1*tPathLength) ;
par2 = 1./(par1*lambda1) ;
par3 = 1.+par2 ;
zmean = (1.-exp(par3*log(lambda11/lambda1)))/(par1*par3) ;
}
zPathLength = zmean ;
// sample z
if(samplez) {
const G4double ztmax = 0.99;
G4double zt = zmean/tPathLength ;
if (tPathLength > stepmin && zt < ztmax) {
G4double u,cz1;
if(zt >= 0.333333333) {
G4double cz = 0.5*(3.*zt-1.)/(1.-zt) ;
cz1 = 1.+cz ;
G4double u0 = cz/cz1 ;
G4double grej ;
do {
u = exp(log(G4UniformRand())/cz1) ;
grej = exp(cz*log(u/u0))*(1.-u)/(1.-u0) ;
} while (grej < G4UniformRand()) ;
} else {
cz1 = 1./zt-1.;
u = 1.-exp(log(G4UniformRand())/cz1) ;
}
zPathLength = tPathLength*u ;
}
}
if(zPathLength > lambda1) zPathLength = lambda1;
//G4cout << "zPathLength= " << zPathLength << " lambda1= " << lambda1 << G4endl;
return zPathLength;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
// taken from Ref.6
G4double
G4GoudsmitSaundersonMscModel::ComputeTrueStepLength(G4double geomStepLength)
{
// step defined other than transportation
if(geomStepLength == zPathLength && tPathLength <= currentRange)
return tPathLength;
// t = z for very small step
zPathLength = geomStepLength;
tPathLength = geomStepLength;
if(geomStepLength < tlimitminfix) return tPathLength;
// recalculation
if((geomStepLength > lambda1*tausmall) && !insideskin)
{
if(par1 < 0.)
tPathLength = -lambda1*log(1.-geomStepLength/lambda1) ;
else
{
if(par1*par3*geomStepLength < 1.)
tPathLength = (1.-exp(log(1.-par1*par3*geomStepLength)/par3))/par1 ;
else
tPathLength = currentRange;
}
}
if(tPathLength < geomStepLength) tPathLength = geomStepLength;
//G4cout << "tPathLength= " << tPathLength << " step= " << geomStepLength << G4endl;
return tPathLength;
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
//Total & first transport x sections for e-/e+ generated from ELSEPA code
void G4GoudsmitSaundersonMscModel::LoadELSEPAXSections()
{
G4String filename = "XSECTIONS.dat";
char* path = getenv("G4LEDATA");
if (!path)
{
G4Exception("G4GoudsmitSaundersonMscModel::LoadELSEPAXSections()","em0006",
FatalException,
"Environment variable G4LEDATA not defined");
return;
}
G4String pathString(path);
G4String dirFile = pathString + "/msc_GS/" + filename;
FILE *infile;
infile = fopen(dirFile,"r");
if (infile == 0)
{
G4ExceptionDescription ed;
ed << "Data file <" + dirFile + "> is not opened!" << G4endl;
G4Exception("G4GoudsmitSaundersonMscModel::LoadELSEPAXSections()",
"em0003",FatalException,ed);
return;
}
// Read parameters from tables and take logarithms
G4float aRead;
for(G4int i=0 ; i<106 ;i++){
if(1 == fscanf(infile,"%f\t",&aRead)) {
if(aRead > 0.0) { aRead = log(aRead); }
else { aRead = 0.0; }
} else {
G4ExceptionDescription ed;
ed << "Error reading <" + dirFile + "> loop #1 i= " << i << G4endl;
G4Exception("G4GoudsmitSaundersonMscModel::LoadELSEPAXSections()",
"em0003",FatalException,ed);
return;
}
ener[i]=aRead;
}
for(G4int j=0;j<103;j++){
for(G4int i=0;i<106;i++){
if(1 == fscanf(infile,"%f\t",&aRead)) {
if(aRead > 0.0) { aRead = log(aRead); }
else { aRead = 0.0; }
} else {
G4ExceptionDescription ed;
ed << "Error reading <" + dirFile + "> loop #2 j= " << j
<< "; i= " << i << G4endl;
G4Exception("G4GoudsmitSaundersonMscModel::LoadELSEPAXSections()",
"em0003",FatalException,ed);
return;
}
TCSE[j][i]=aRead;
}
}
for(G4int j=0;j<103;j++){
for(G4int i=0;i<106;i++){
if(1 == fscanf(infile,"%f\t",&aRead)) {
if(aRead > 0.0) { aRead = log(aRead); }
else { aRead = 0.0; }
} else {
G4ExceptionDescription ed;
ed << "Error reading <" + dirFile + "> loop #3 j= " << j
<< "; i= " << i << G4endl;
G4Exception("G4GoudsmitSaundersonMscModel::LoadELSEPAXSections()",
"em0003",FatalException,ed);
return;
}
FTCSE[j][i]=aRead;
}
}
for(G4int j=0;j<103;j++){
for(G4int i=0;i<106;i++){
if(1 == fscanf(infile,"%f\t",&aRead)) {
if(aRead > 0.0) { aRead = log(aRead); }
else { aRead = 0.0; }
} else {
G4ExceptionDescription ed;
ed << "Error reading <" + dirFile + "> loop #4 j= " << j
<< "; i= " << i << G4endl;
G4Exception("G4GoudsmitSaundersonMscModel::LoadELSEPAXSections()",
"em0003",FatalException,ed);
return;
}
TCSP[j][i]=aRead;
}
}
for(G4int j=0;j<103;j++){
for(G4int i=0;i<106;i++){
if(1 == fscanf(infile,"%f\t",&aRead)) {
if(aRead > 0.0) { aRead = log(aRead); }
else { aRead = 0.0; }
} else {
G4ExceptionDescription ed;
ed << "Error reading <" + dirFile + "> loop #5 j= " << j
<< "; i= " << i << G4endl;
G4Exception("G4GoudsmitSaundersonMscModel::LoadELSEPAXSections()",
"em0003",FatalException,ed);
return;
}
FTCSP[j][i]=aRead;
}
}
fclose(infile);
}
//....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......