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45 return normal; 51 return normal; >> 52 // return 1./normal.mag()*normal; 46 } 53 } 47 54 48 G4ThreeVector G4PolarizationHelper::GetParticl << 55 G4ThreeVector G4PolarizationHelper::GetParticleFrameY(const G4ThreeVector &uZ) 49 { 56 { 50 if(uZ.x() == 0. && uZ.y() == 0.) << 57 // compare also G4ThreeVector::rotateUz() 51 { << 58 52 return G4ThreeVector(0., 1., 0.); << 59 if (uZ.x()==0. && uZ.y()==0.) { >> 60 return G4ThreeVector(0.,1.,0.); 53 } 61 } 54 62 55 G4double invPerp = 1. / std::sqrt(sqr(uZ.x() << 63 G4double invPerp = 1./std::sqrt(sqr(uZ.x())+sqr(uZ.y())); 56 return G4ThreeVector(-uZ.y() * invPerp, uZ.x << 64 return G4ThreeVector(-uZ.y()*invPerp,uZ.x()*invPerp,0); 57 } 65 } 58 66 59 G4ThreeVector G4PolarizationHelper::GetParticl << 67 G4ThreeVector G4PolarizationHelper::GetParticleFrameX(const G4ThreeVector &uZ) 60 { 68 { 61 if(uZ.x() == 0. && uZ.y() == 0.) << 69 // compare also G4ThreeVector::rotateUz() 62 { << 70 63 if(uZ.z() >= 0.) << 71 if (uZ.x()==0. && uZ.y()==0.) { 64 return G4ThreeVector(1., 0., 0.); << 72 if (uZ.z()>=0.) return G4ThreeVector(1.,0.,0.); 65 return G4ThreeVector(-1., 0., 0.); << 73 return G4ThreeVector(-1.,0.,0.); 66 } 74 } 67 75 68 G4double perp = std::sqrt(sqr(uZ.x()) + s << 76 G4double perp = std::sqrt(sqr(uZ.x())+sqr(uZ.y())); 69 G4double invPerp = uZ.z() / perp; << 77 G4double invPerp = uZ.z()/perp; 70 return G4ThreeVector(uZ.x() * invPerp, uZ.y( << 78 return G4ThreeVector(uZ.x()*invPerp,uZ.y()*invPerp,-perp); 71 } 79 } 72 80 73 G4ThreeVector G4PolarizationHelper::GetRandomF << 81 G4ThreeVector G4PolarizationHelper::GetRandomFrame(const G4ThreeVector & mom1) 74 { 82 { 75 G4double phi = 2. * pi * G4UniformRand(); << 83 G4double phi =2.*pi*G4UniformRand(); 76 G4ThreeVector normal = << 84 G4ThreeVector normal = std::cos(phi)*GetParticleFrameX(mom1) 77 std::cos(phi) * GetParticleFrameX(mom1) + << 85 + std::sin(phi)*G4PolarizationHelper::GetParticleFrameY(mom1); 78 std::sin(phi) * G4PolarizationHelper::GetP << 79 return normal; 86 return normal; 80 } 87 } 81 88 82 G4ThreeVector G4PolarizationHelper::GetSpinInP << 89 83 << 90 G4ThreeVector G4PolarizationHelper::GetSpinInPRF(const G4ThreeVector &uZ, const G4ThreeVector & spin) 84 { 91 { 85 if(uZ.x() == 0. && uZ.y() == 0.) << 92 // compare also G4ThreeVector::rotateUz() 86 { << 87 if(uZ.z() >= 0.) << 88 return spin; << 89 return G4ThreeVector(-spin.x(), spin.y(), << 90 } << 91 93 92 G4double perp = std::sqrt(sqr(uZ.x()) + s << 94 if (uZ.x()==0. && uZ.y()==0.) { 93 G4double invPerp = 1. / perp; << 95 if (uZ.z()>=0.) return spin; >> 96 return G4ThreeVector(-spin.x(),spin.y(),-spin.z()); >> 97 } 94 98 95 G4ThreeVector uX(uZ.x() * uZ.z() * invPerp, << 99 G4double perp = std::sqrt(sqr(uZ.x())+sqr(uZ.y())); 96 G4ThreeVector uY(-uZ.y() * invPerp, uZ.x() * << 100 G4double invPerp = 1./perp; 97 101 98 return G4ThreeVector(spin * uX, spin * uY, s << 102 G4ThreeVector uX(uZ.x()*uZ.z()*invPerp,uZ.y()*uZ.z()*invPerp,-perp); >> 103 G4ThreeVector uY(-uZ.y()*invPerp,uZ.x()*invPerp,0); >> 104 >> 105 return G4ThreeVector(spin*uX,spin*uY,spin*uZ); 99 } 106 } 100 107 101 void G4PolarizationHelper::TestPolarizationTra 108 void G4PolarizationHelper::TestPolarizationTransformations() 102 { 109 { 103 G4double theta = 0.; << 110 G4double theta=0.; 104 G4cout << "================================= << 111 G4cout<<"========================================\n\n"; 105 for(G4int i = 0; i <= 10; ++i) << 112 for (G4int i=0; i<=10; ++i) { 106 { << 113 theta=pi*i/10.; 107 theta = pi * i / 10.; << 114 G4ThreeVector zAxis = G4ThreeVector(std::sin(theta),0.,std::cos(theta)); 108 G4ThreeVector zAxis = G4ThreeVector(std::s << 115 if (i==5) zAxis = G4ThreeVector(1.,0.,0.); 109 if(i == 5) << 116 if (i==10) zAxis = G4ThreeVector(0.,0.,-1.); 110 zAxis = G4ThreeVector(1., 0., 0.); << 111 if(i == 10) << 112 zAxis = G4ThreeVector(0., 0., -1.); << 113 G4ThreeVector yAxis = GetParticleFrameY(zA 117 G4ThreeVector yAxis = GetParticleFrameY(zAxis); 114 118 115 G4cout << zAxis << " " << zAxis.mag() << " << 119 G4cout<<zAxis<<" "<<zAxis.mag()<<"\n"; 116 G4cout << yAxis << " " << yAxis.mag() << " << 120 G4cout<<yAxis<<" "<<yAxis.mag()<<"\n"; 117 G4ThreeVector xAxis = yAxis.cross(zAxis); 121 G4ThreeVector xAxis = yAxis.cross(zAxis); 118 G4cout << xAxis << " " << xAxis.mag() << " << 122 G4cout<<xAxis<<" "<<xAxis.mag()<<"\n\n"; 119 } 123 } 120 124 121 G4cout << "================================= << 125 G4cout<<"========================================\n\n"; 122 126 123 for(G4int i = 0; i <= 10; ++i) << 127 for (G4int i=0; i<=10; ++i) { 124 { << 128 theta=pi*i/10.; 125 theta = pi * i / 10.; << 129 G4ThreeVector zAxis = G4ThreeVector(0.,std::sin(theta),std::cos(theta)); 126 G4ThreeVector zAxis = G4ThreeVector(0., st << 130 if (i==5) zAxis = G4ThreeVector(0.,1.,0.); 127 if(i == 5) << 131 if (i==10) zAxis = G4ThreeVector(0.,0.,-1.); 128 zAxis = G4ThreeVector(0., 1., 0.); << 129 if(i == 10) << 130 zAxis = G4ThreeVector(0., 0., -1.); << 131 G4ThreeVector yAxis = GetParticleFrameY(zA 132 G4ThreeVector yAxis = GetParticleFrameY(zAxis); 132 133 133 G4cout << zAxis << " " << zAxis.mag() << " << 134 G4cout<<zAxis<<" "<<zAxis.mag()<<"\n"; 134 G4cout << yAxis << " " << yAxis.mag() << " << 135 G4cout<<yAxis<<" "<<yAxis.mag()<<"\n"; 135 G4ThreeVector xAxis = yAxis.cross(zAxis); 136 G4ThreeVector xAxis = yAxis.cross(zAxis); 136 G4cout << xAxis << " " << xAxis.mag() << " << 137 G4cout<<xAxis<<" "<<xAxis.mag()<<"\n\n"; 137 138 138 G4cout << "spat : " << xAxis * yAxis.cross << 139 G4cout<<"spat : "<<xAxis*yAxis.cross(zAxis)<<"\n\n"; 139 } 140 } 140 G4cout << "================================= << 141 G4cout<<"========================================\n\n"; 141 } 142 } 142 143 143 void G4PolarizationHelper::TestInteractionFram 144 void G4PolarizationHelper::TestInteractionFrame() 144 { 145 { 145 // check transformation procedure for polari << 146 // check transformation procedure for polarisation transfer 146 // calculation in scattering processes 147 // calculation in scattering processes 147 // a) transfer target polarisation in beam 148 // a) transfer target polarisation in beam particle reference frame (PRF) 148 // b) calc correct asymmetry w.r.t. scatter 149 // b) calc correct asymmetry w.r.t. scattering plane 149 // c) determine incoming polarisation in in << 150 // c) determine incomming polarisation in interaction frame (IF) 150 // d) transfer outgoing polarisation from I 151 // d) transfer outgoing polarisation from IF to PRF 151 G4cout << "================================= << 152 G4cout<<"========================================\n\n"; 152 << 153 G4double theta = 0.; << 154 153 155 G4ThreeVector dir0 = G4ThreeVector(0., 0., 1 << 154 G4double theta=0.; 156 G4ThreeVector dir2 = G4ThreeVector(std::sin( << 157 155 158 G4StokesVector pol0 = G4StokesVector::P3; << 156 G4ThreeVector dir0=G4ThreeVector(0.,0.,1.); 159 G4StokesVector pol1 = G4StokesVector::P3; << 157 G4ThreeVector dir2=G4ThreeVector(std::sin(theta),0.,std::cos(theta)); >> 158 >> 159 G4StokesVector pol0=G4ThreeVector(0.,0.,1.); >> 160 G4StokesVector pol1=G4ThreeVector(0.,0.,1.); 160 161 161 pol1.rotateUz(dir0); 162 pol1.rotateUz(dir0); 162 163 163 G4cout << "================================= << 164 G4cout<<"========================================\n\n"; >> 165 >> 166 164 } 167 } 165 168