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geant4/source/processes/electromagnetic/polarisation/src/G4StokesVector.cc
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//
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//
// $Id: G4StokesVector.cc,v 1.4 2009-11-12 12:57:15 schaelic Exp $
// GEANT4 tag $Name: not supported by cvs2svn $
//
// GEANT4 Class file
//
//
// File name: G4StokesVector
//
// Author: Andreas Schaelicke
//
// Creation date: 01.05.2005
//
// Modifications:
//
// Class Description:
//
// Provides Stokesvector representation employed in polarized
// processes.
//
#include "G4StokesVector.hh"
#include "G4PolarizationHelper.hh"
#include "Randomize.hh"
const G4StokesVector G4StokesVector::ZERO=G4ThreeVector(0.,0.,0.);
const G4StokesVector G4StokesVector::P1=G4ThreeVector(1.,0.,0.);
const G4StokesVector G4StokesVector::P2=G4ThreeVector(0.,1.,0.);
const G4StokesVector G4StokesVector::P3=G4ThreeVector(0.,0.,1.);
const G4StokesVector G4StokesVector::M1=G4ThreeVector(-1.,0.,0.);
const G4StokesVector G4StokesVector::M2=G4ThreeVector(0.,-1.,0.);
const G4StokesVector G4StokesVector::M3=G4ThreeVector(0.,0.,-1.);
G4StokesVector::G4StokesVector()
: G4ThreeVector(),isPhoton(false)
{
}
G4StokesVector::G4StokesVector(const G4ThreeVector & v)
: G4ThreeVector(v),isPhoton(false)
{
}
G4StokesVector::~G4StokesVector()
{
}
void G4StokesVector::RotateAz(G4ThreeVector nInteractionFrame,
G4ThreeVector particleDirection)
{
G4ThreeVector yParticleFrame =
G4PolarizationHelper::GetParticleFrameY(particleDirection);
G4double cosphi=yParticleFrame*nInteractionFrame;
if (cosphi>(1.+1.e-8) || cosphi<(-1.-1.e-8)) {
G4cout<<" warning G4StokesVector::RotateAz cosphi>1 or cosphi<-1\n"
<<" cosphi="<<cosphi<<"\n"
<<" zAxis="<<particleDirection<<" ("<<particleDirection.mag()<<")\n"
<<" yAxis="<<yParticleFrame<<" ("<<yParticleFrame.mag()<<")\n"
<<" nAxis="<<nInteractionFrame<<" ("
<<nInteractionFrame.mag()<<")"<<G4endl;
}
if (cosphi>1.) cosphi=1.;
else if (cosphi<-1.) cosphi=-1.;
// G4cout<<" cosphi="<<cosphi<<"\n"
// <<" zAxis="<<particleDirection<<" ("<<particleDirection.mag()<<")\n"
// <<" yAxis="<<yParticleFrame<<" ("<<yParticleFrame.mag()<<","<<(yParticleFrame*particleDirection)<<")\n"
// <<" nAxis="<<nInteractionFrame<<" ("
// <<nInteractionFrame.mag()<<")"<<G4endl;
// G4double hel=sgn(cross(yParticleFrame*nInteractionFrame)*zInteractionFrame);
// Why not particleDirection instead of zInteractionFrame ???!!!
// -> is the same, since SYSIN is called with p1, and p2 as first parameter!
G4double hel=(yParticleFrame.cross(nInteractionFrame)*particleDirection)>0?1.:-1.;
G4double sinphi=hel*std::sqrt(1.-cosphi*cosphi);
// G4cout<<" sin2 + cos2 -1 = "<<(sinphi*sinphi+cosphi*cosphi-1)<<"\n";
RotateAz(cosphi,sinphi);
}
void G4StokesVector::InvRotateAz(G4ThreeVector nInteractionFrame,
G4ThreeVector particleDirection)
{
// note if incomming particle is on z-axis,
// we might encounter some nummerical problems, since
// nInteratonFrame and yParticleFrame are actually (almost) the same momentum
// and the normalization is only good to 10^-12 !
G4ThreeVector yParticleFrame =
G4PolarizationHelper::GetParticleFrameY(particleDirection);
G4double cosphi=yParticleFrame*nInteractionFrame;
if (cosphi>1.+1.e-8 || cosphi<-1.-1.e-8) {
G4cout<<" warning G4StokesVector::RotateAz cosphi>1 or cosphi<-1\n";
}
if (cosphi>1) cosphi=1.;
else if (cosphi<-1)cosphi=-1.;
// check sign once more!
G4double hel=(yParticleFrame.cross(nInteractionFrame)*particleDirection)>0?1.:-1.;
G4double sinphi=hel*std::sqrt(std::fabs(1.-cosphi*cosphi));
RotateAz(cosphi,-sinphi);
}
void G4StokesVector::RotateAz(G4double cosphi, G4double sinphi)
{
if (!isPhoton) {
G4double xsi1= cosphi*p1() + sinphi*p2();
G4double xsi2= -sinphi*p1() + cosphi*p2();
setX(xsi1);
setY(xsi2);
return;
}
G4double sin2phi=2.*cosphi*sinphi;
G4double cos2phi=cosphi*cosphi-sinphi*sinphi;
G4double xsi1= cos2phi*p1() + sin2phi*p2();
G4double xsi2= -sin2phi*p1() + cos2phi*p2();
setX(xsi1);
setY(xsi2);
}
G4double G4StokesVector::GetBeta()
{
G4double beta=getPhi();
if (isPhoton)
return 0.5*beta;
return beta;
}
void G4StokesVector::DiceUniform()
{
G4double costheta=2.*G4UniformRand()-1.;
G4double sintheta=std::sqrt(1.-costheta*costheta);
G4double phi =2.*pi*G4UniformRand();
setX(std::sin(phi)*sintheta);
setY(std::cos(phi)*sintheta);
setZ(costheta);
}
void G4StokesVector::DiceP1()
{
if (G4UniformRand()>0.5) setX(1.);
else setX(-1.);
setY(0.);
setZ(0.);
}
void G4StokesVector::DiceP2()
{
setX(0.);
if (G4UniformRand()>0.5) setY(1.);
else setY(-1.);
setZ(0.);
}
void G4StokesVector::DiceP3()
{
setX(0.);
setY(0.);
if (G4UniformRand()>0.5) setZ(1.);
else setZ(-1.);
}
void G4StokesVector::FlipP3()
{
setZ(-z());
}
G4ThreeVector G4StokesVector::PolError(const G4StokesVector & sum2, long n)
{
// delta x = sqrt[ ( <x^2> - <x>^2 )/(n-1) ]
G4StokesVector mean=(1./n)*(*this);
return G4StokesVector((1./(n-1.)*((1./n)*sum2 - mean.PolSqr()))).PolSqrt();
}
G4ThreeVector G4StokesVector::PolDiv(const G4StokesVector & b)
{return G4ThreeVector(b.x()!=0. ? x()/b.x() : 11111.,
b.y()!=0. ? y()/b.y() : 11111.,
b.z()!=0. ? z()/b.z() : 11111.);}