| 1 | //
|
|---|
| 2 | // ********************************************************************
|
|---|
| 3 | // * License and Disclaimer *
|
|---|
| 4 | // * *
|
|---|
| 5 | // * The Geant4 software is copyright of the Copyright Holders of *
|
|---|
| 6 | // * the Geant4 Collaboration. It is provided under the terms and *
|
|---|
| 7 | // * conditions of the Geant4 Software License, included in the file *
|
|---|
| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These *
|
|---|
| 9 | // * include a list of copyright holders. *
|
|---|
| 10 | // * *
|
|---|
| 11 | // * Neither the authors of this software system, nor their employing *
|
|---|
| 12 | // * institutes,nor the agencies providing financial support for this *
|
|---|
| 13 | // * work make any representation or warranty, express or implied, *
|
|---|
| 14 | // * regarding this software system or assume any liability for its *
|
|---|
| 15 | // * use. Please see the license in the file LICENSE and URL above *
|
|---|
| 16 | // * for the full disclaimer and the limitation of liability. *
|
|---|
| 17 | // * *
|
|---|
| 18 | // * This code implementation is the result of the scientific and *
|
|---|
| 19 | // * technical work of the GEANT4 collaboration. *
|
|---|
| 20 | // * By using, copying, modifying or distributing the software (or *
|
|---|
| 21 | // * any work based on the software) you agree to acknowledge its *
|
|---|
| 22 | // * use in resulting scientific publications, and indicate your *
|
|---|
| 23 | // * acceptance of all terms of the Geant4 Software license. *
|
|---|
| 24 | // ********************************************************************
|
|---|
| 25 | //
|
|---|
| 26 | //
|
|---|
| 27 | // $Id: G4PolarizedComptonModel.cc,v 1.4 2007/05/23 08:52:20 vnivanch Exp $
|
|---|
| 28 | // GEANT4 tag $Name: $
|
|---|
| 29 | //
|
|---|
| 30 | // -------------------------------------------------------------------
|
|---|
| 31 | //
|
|---|
| 32 | // GEANT4 Class file
|
|---|
| 33 | //
|
|---|
| 34 | //
|
|---|
| 35 | // File name: G4PolarizedComptonModel
|
|---|
| 36 | //
|
|---|
| 37 | // Author: Andreas Schaelicke
|
|---|
| 38 | //
|
|---|
| 39 | // Creation date: 01.05.2005
|
|---|
| 40 | //
|
|---|
| 41 | // Modifications:
|
|---|
| 42 | // 18-07-06 use newly calculated cross sections (P. Starovoitov)
|
|---|
| 43 | // 21-08-05 update interface (A. Schaelicke)
|
|---|
| 44 | //
|
|---|
| 45 | // Class Description:
|
|---|
| 46 | //
|
|---|
| 47 | // -------------------------------------------------------------------
|
|---|
| 48 | //
|
|---|
| 49 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
|
|---|
| 50 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
|
|---|
| 51 |
|
|---|
| 52 | #include "G4PolarizedComptonModel.hh"
|
|---|
| 53 | #include "G4Electron.hh"
|
|---|
| 54 | #include "G4Gamma.hh"
|
|---|
| 55 | #include "Randomize.hh"
|
|---|
| 56 | #include "G4DataVector.hh"
|
|---|
| 57 | #include "G4ParticleChangeForGamma.hh"
|
|---|
| 58 |
|
|---|
| 59 |
|
|---|
| 60 | #include "G4StokesVector.hh"
|
|---|
| 61 | #include "G4PolarizationManager.hh"
|
|---|
| 62 | #include "G4PolarizationHelper.hh"
|
|---|
| 63 | #include "G4PolarizedComptonCrossSection.hh"
|
|---|
| 64 |
|
|---|
| 65 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
|
|---|
| 66 |
|
|---|
| 67 | G4PolarizedComptonModel::G4PolarizedComptonModel(const G4ParticleDefinition*,
|
|---|
| 68 | const G4String& nam)
|
|---|
| 69 | : G4KleinNishinaCompton(0,nam),
|
|---|
| 70 | verboseLevel(0)
|
|---|
| 71 | {
|
|---|
| 72 | crossSectionCalculator=new G4PolarizedComptonCrossSection();
|
|---|
| 73 | }
|
|---|
| 74 |
|
|---|
| 75 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
|
|---|
| 76 |
|
|---|
| 77 | G4PolarizedComptonModel::~G4PolarizedComptonModel()
|
|---|
| 78 | {
|
|---|
| 79 | if (crossSectionCalculator) delete crossSectionCalculator;
|
|---|
| 80 | }
|
|---|
| 81 |
|
|---|
| 82 |
|
|---|
| 83 |
|
|---|
| 84 | G4double G4PolarizedComptonModel::ComputeAsymmetryPerAtom
|
|---|
| 85 | (G4double gammaEnergy, G4double /*Z*/)
|
|---|
| 86 |
|
|---|
| 87 | {
|
|---|
| 88 | G4double asymmetry = 0.0 ;
|
|---|
| 89 |
|
|---|
| 90 | G4double k0 = gammaEnergy / electron_mass_c2 ;
|
|---|
| 91 | G4double k1 = 1 + 2*k0 ;
|
|---|
| 92 |
|
|---|
| 93 | asymmetry = -k0;
|
|---|
| 94 | asymmetry *= (k0 + 1.)*sqr(k1)*std::log(k1) - 2.*k0*(5.*sqr(k0) + 4.*k0 + 1.);
|
|---|
| 95 | asymmetry /= ((k0 - 2.)*k0 -2.)*sqr(k1)*std::log(k1) + 2.*k0*(k0*(k0 + 1.)*(k0 + 8.) + 2.);
|
|---|
| 96 |
|
|---|
| 97 | // G4cout<<"energy = "<<GammaEnergy<<" asymmetry = "<<asymmetry<<"\t\t GAM = "<<k0<<G4endl;
|
|---|
| 98 | if (asymmetry>1.) G4cout<<"ERROR in G4PolarizedComptonModel::ComputeAsymmetryPerAtom"<<G4endl;
|
|---|
| 99 |
|
|---|
| 100 | return asymmetry;
|
|---|
| 101 | }
|
|---|
| 102 |
|
|---|
| 103 |
|
|---|
| 104 | G4double G4PolarizedComptonModel::ComputeCrossSectionPerAtom(
|
|---|
| 105 | const G4ParticleDefinition* pd,
|
|---|
| 106 | G4double kinEnergy,
|
|---|
| 107 | G4double Z,
|
|---|
| 108 | G4double A,
|
|---|
| 109 | G4double cut,
|
|---|
| 110 | G4double emax)
|
|---|
| 111 | {
|
|---|
| 112 | double xs =
|
|---|
| 113 | G4KleinNishinaCompton::ComputeCrossSectionPerAtom(pd,kinEnergy,
|
|---|
| 114 | Z,A,cut,emax);
|
|---|
| 115 | G4double polzz = theBeamPolarization.p3()*theTargetPolarization.z();
|
|---|
| 116 | if (polzz!=0) {
|
|---|
| 117 | G4double asym=ComputeAsymmetryPerAtom(kinEnergy, Z);
|
|---|
| 118 | xs*=(1.+polzz*asym);
|
|---|
| 119 | }
|
|---|
| 120 | return xs;
|
|---|
| 121 | }
|
|---|
| 122 |
|
|---|
| 123 |
|
|---|
| 124 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
|
|---|
| 125 |
|
|---|
| 126 | void G4PolarizedComptonModel::SampleSecondaries(std::vector<G4DynamicParticle*>* fvect,
|
|---|
| 127 | const G4MaterialCutsCouple*,
|
|---|
| 128 | const G4DynamicParticle* aDynamicGamma,
|
|---|
| 129 | G4double,
|
|---|
| 130 | G4double)
|
|---|
| 131 | {
|
|---|
| 132 | const G4Track * aTrack = fParticleChange->GetCurrentTrack();
|
|---|
| 133 | G4VPhysicalVolume* aPVolume = aTrack->GetVolume();
|
|---|
| 134 | G4LogicalVolume* aLVolume = aPVolume->GetLogicalVolume();
|
|---|
| 135 |
|
|---|
| 136 | if (verboseLevel>=1)
|
|---|
| 137 | G4cout<<"G4PolarizedComptonModel::SampleSecondaries in "
|
|---|
| 138 | << aLVolume->GetName() <<G4endl;
|
|---|
| 139 |
|
|---|
| 140 | G4PolarizationManager * polarizationManager = G4PolarizationManager::GetInstance();
|
|---|
| 141 |
|
|---|
| 142 | // obtain polarization of the beam
|
|---|
| 143 | theBeamPolarization = aDynamicGamma->GetPolarization();
|
|---|
| 144 | theBeamPolarization.SetPhoton();
|
|---|
| 145 |
|
|---|
| 146 | // obtain polarization of the media
|
|---|
| 147 | const G4bool targetIsPolarized = polarizationManager->IsPolarized(aLVolume);
|
|---|
| 148 | theTargetPolarization = polarizationManager->GetVolumePolarization(aLVolume);
|
|---|
| 149 |
|
|---|
| 150 | // if beam is linear polarized or target is transversely polarized
|
|---|
| 151 | // determine the angle to x-axis
|
|---|
| 152 | // (assumes same PRF as in the polarization definition)
|
|---|
| 153 |
|
|---|
| 154 | G4ThreeVector gamDirection0 = aDynamicGamma->GetMomentumDirection();
|
|---|
| 155 |
|
|---|
| 156 | // transfere theTargetPolarization
|
|---|
| 157 | // into the gamma frame (problem electron is at rest)
|
|---|
| 158 | if (targetIsPolarized)
|
|---|
| 159 | theTargetPolarization.rotateUz(gamDirection0);
|
|---|
| 160 |
|
|---|
| 161 | // The scattered gamma energy is sampled according to Klein - Nishina formula.
|
|---|
| 162 | // The random number techniques of Butcher & Messel are used
|
|---|
| 163 | // (Nuc Phys 20(1960),15).
|
|---|
| 164 | // Note : Effects due to binding of atomic electrons are negliged.
|
|---|
| 165 |
|
|---|
| 166 | G4double gamEnergy0 = aDynamicGamma->GetKineticEnergy();
|
|---|
| 167 | G4double E0_m = gamEnergy0 / electron_mass_c2 ;
|
|---|
| 168 |
|
|---|
| 169 |
|
|---|
| 170 | //
|
|---|
| 171 | // sample the energy rate of the scattered gamma
|
|---|
| 172 | //
|
|---|
| 173 |
|
|---|
| 174 | G4double epsilon, epsilonsq, onecost, sint2, greject ;
|
|---|
| 175 |
|
|---|
| 176 | G4double epsilon0 = 1./(1. + 2.*E0_m);
|
|---|
| 177 | G4double epsilon0sq = epsilon0*epsilon0;
|
|---|
| 178 | G4double alpha1 = - std::log(epsilon0);
|
|---|
| 179 | G4double alpha2 = 0.5*(1.- epsilon0sq);
|
|---|
| 180 |
|
|---|
| 181 | G4double polarization = theBeamPolarization.p3()*theTargetPolarization.p3();
|
|---|
| 182 | do {
|
|---|
| 183 | if ( alpha1/(alpha1+alpha2) > G4UniformRand() ) {
|
|---|
| 184 | epsilon = std::exp(-alpha1*G4UniformRand()); // epsilon0**r
|
|---|
| 185 | epsilonsq = epsilon*epsilon;
|
|---|
| 186 |
|
|---|
| 187 | } else {
|
|---|
| 188 | epsilonsq = epsilon0sq + (1.- epsilon0sq)*G4UniformRand();
|
|---|
| 189 | epsilon = std::sqrt(epsilonsq);
|
|---|
| 190 | };
|
|---|
| 191 |
|
|---|
| 192 | onecost = (1.- epsilon)/(epsilon*E0_m);
|
|---|
| 193 | sint2 = onecost*(2.-onecost);
|
|---|
| 194 |
|
|---|
| 195 |
|
|---|
| 196 | G4double gdiced = 2.*(1./epsilon+epsilon);
|
|---|
| 197 | G4double gdist = 1./epsilon + epsilon - sint2
|
|---|
| 198 | - polarization*(1./epsilon-epsilon)*(1.-onecost);
|
|---|
| 199 |
|
|---|
| 200 | greject = gdist/gdiced;
|
|---|
| 201 |
|
|---|
| 202 | if (greject>1) G4cout<<"ERROR in PolarizedComptonScattering::PostStepDoIt\n"
|
|---|
| 203 | <<" costh rejection does not work properly: "<<greject<<G4endl;
|
|---|
| 204 |
|
|---|
| 205 | } while (greject < G4UniformRand());
|
|---|
| 206 |
|
|---|
| 207 | //
|
|---|
| 208 | // scattered gamma angles. ( Z - axis along the parent gamma)
|
|---|
| 209 | //
|
|---|
| 210 |
|
|---|
| 211 | G4double cosTeta = 1. - onecost;
|
|---|
| 212 | G4double sinTeta = std::sqrt (sint2);
|
|---|
| 213 | G4double Phi;
|
|---|
| 214 | do {
|
|---|
| 215 | Phi = twopi * G4UniformRand();
|
|---|
| 216 | G4double gdiced = 1./epsilon + epsilon - sint2
|
|---|
| 217 | + std::abs(theBeamPolarization.p3())*
|
|---|
| 218 | ( std::abs((1./epsilon-epsilon)*cosTeta*theTargetPolarization.p3())
|
|---|
| 219 | +(1.-epsilon)*sinTeta*(std::sqrt(sqr(theTargetPolarization.p1())
|
|---|
| 220 | + sqr(theTargetPolarization.p2()))))
|
|---|
| 221 | +sint2*(std::sqrt(sqr(theBeamPolarization.p1()) + sqr(theBeamPolarization.p2())));
|
|---|
| 222 |
|
|---|
| 223 | G4double gdist = 1./epsilon + epsilon - sint2
|
|---|
| 224 | + theBeamPolarization.p3()*
|
|---|
| 225 | ((1./epsilon-epsilon)*cosTeta*theTargetPolarization.p3()
|
|---|
| 226 | +(1.-epsilon)*sinTeta*(std::cos(Phi)*theTargetPolarization.p1()+
|
|---|
| 227 | std::sin(Phi)*theTargetPolarization.p2()))
|
|---|
| 228 | -sint2*(std::cos(2.*Phi)*theBeamPolarization.p1()
|
|---|
| 229 | +std::sin(2.*Phi)*theBeamPolarization.p2());
|
|---|
| 230 | greject = gdist/gdiced;
|
|---|
| 231 |
|
|---|
| 232 | if (greject>1.+1.e-10 || greject<0) G4cout<<"ERROR in PolarizedComptonScattering::PostStepDoIt\n"
|
|---|
| 233 | <<" phi rejection does not work properly: "<<greject<<G4endl;
|
|---|
| 234 |
|
|---|
| 235 | if (greject<1.e-3) {
|
|---|
| 236 | G4cout<<"ERROR in PolarizedComptonScattering::PostStepDoIt\n"
|
|---|
| 237 | <<" phi rejection does not work properly: "<<greject<<"\n";
|
|---|
| 238 | G4cout<<" greject="<<greject<<" phi="<<Phi<<" cost="<<cosTeta<<"\n";
|
|---|
| 239 | G4cout<<" gdiced="<<gdiced<<" gdist="<<gdist<<"\n";
|
|---|
| 240 | G4cout<<" eps="<<epsilon<<" 1/eps="<<1./epsilon<<"\n";
|
|---|
| 241 | }
|
|---|
| 242 |
|
|---|
| 243 | } while (greject < G4UniformRand());
|
|---|
| 244 | G4double dirx = sinTeta*std::cos(Phi), diry = sinTeta*std::sin(Phi), dirz = cosTeta;
|
|---|
| 245 |
|
|---|
| 246 | //
|
|---|
| 247 | // update G4VParticleChange for the scattered gamma
|
|---|
| 248 | //
|
|---|
| 249 |
|
|---|
| 250 | G4ThreeVector gamDirection1 ( dirx,diry,dirz );
|
|---|
| 251 | gamDirection1.rotateUz(gamDirection0);
|
|---|
| 252 | G4double gamEnergy1 = epsilon*gamEnergy0;
|
|---|
| 253 | fParticleChange->SetProposedKineticEnergy(gamEnergy1);
|
|---|
| 254 |
|
|---|
| 255 |
|
|---|
| 256 | if(gamEnergy1 > lowestGammaEnergy) {
|
|---|
| 257 | fParticleChange->ProposeMomentumDirection(gamDirection1);
|
|---|
| 258 | } else {
|
|---|
| 259 | fParticleChange->ProposeTrackStatus(fStopAndKill);
|
|---|
| 260 | gamEnergy1 += fParticleChange->GetLocalEnergyDeposit();
|
|---|
| 261 | fParticleChange->ProposeLocalEnergyDeposit(gamEnergy1);
|
|---|
| 262 | }
|
|---|
| 263 |
|
|---|
| 264 | //
|
|---|
| 265 | // kinematic of the scattered electron
|
|---|
| 266 | //
|
|---|
| 267 |
|
|---|
| 268 | G4double eKinEnergy = gamEnergy0 - gamEnergy1;
|
|---|
| 269 | G4ThreeVector eDirection = gamEnergy0*gamDirection0 - gamEnergy1*gamDirection1;
|
|---|
| 270 | eDirection = eDirection.unit();
|
|---|
| 271 |
|
|---|
| 272 | //
|
|---|
| 273 | // calculate Stokesvector of final state photon and electron
|
|---|
| 274 | //
|
|---|
| 275 | G4ThreeVector nInteractionFrame;
|
|---|
| 276 | if((gamEnergy1 > lowestGammaEnergy) ||
|
|---|
| 277 | (eKinEnergy > DBL_MIN)) {
|
|---|
| 278 |
|
|---|
| 279 | // determine interaction plane
|
|---|
| 280 | // nInteractionFrame =
|
|---|
| 281 | // G4PolarizationHelper::GetFrame(gamDirection1,eDirection);
|
|---|
| 282 | if (gamEnergy1 > lowestGammaEnergy)
|
|---|
| 283 | nInteractionFrame = G4PolarizationHelper::GetFrame(gamDirection1,gamDirection0);
|
|---|
| 284 | else
|
|---|
| 285 | nInteractionFrame = G4PolarizationHelper::GetFrame(gamDirection0, eDirection);
|
|---|
| 286 |
|
|---|
| 287 | // transfere theBeamPolarization and theTargetPolarization
|
|---|
| 288 | // into the interaction frame (note electron is in gamma frame)
|
|---|
| 289 | if (verboseLevel>=1) {
|
|---|
| 290 | G4cout << "========================================\n";
|
|---|
| 291 | G4cout << " nInteractionFrame = " <<nInteractionFrame<<"\n";
|
|---|
| 292 | G4cout << " GammaDirection0 = " <<gamDirection0<<"\n";
|
|---|
| 293 | G4cout << " gammaPolarization = " <<theBeamPolarization<<"\n";
|
|---|
| 294 | G4cout << " electronPolarization = " <<theTargetPolarization<<"\n";
|
|---|
| 295 | }
|
|---|
| 296 |
|
|---|
| 297 | theBeamPolarization.InvRotateAz(nInteractionFrame,gamDirection0);
|
|---|
| 298 | theTargetPolarization.InvRotateAz(nInteractionFrame,gamDirection0);
|
|---|
| 299 |
|
|---|
| 300 | if (verboseLevel>=1) {
|
|---|
| 301 | G4cout << "----------------------------------------\n";
|
|---|
| 302 | G4cout << " gammaPolarization = " <<theBeamPolarization<<"\n";
|
|---|
| 303 | G4cout << " electronPolarization = " <<theTargetPolarization<<"\n";
|
|---|
| 304 | G4cout << "----------------------------------------\n";
|
|---|
| 305 | }
|
|---|
| 306 |
|
|---|
| 307 | // initialize the polarization transfer matrix
|
|---|
| 308 | crossSectionCalculator->Initialize(epsilon,E0_m,0.,
|
|---|
| 309 | theBeamPolarization,
|
|---|
| 310 | theTargetPolarization,2);
|
|---|
| 311 | }
|
|---|
| 312 |
|
|---|
| 313 | // if(eKinEnergy > DBL_MIN)
|
|---|
| 314 | {
|
|---|
| 315 | // in interaction frame
|
|---|
| 316 | // calculate polarization transfer to the photon (in interaction plane)
|
|---|
| 317 | finalGammaPolarization = crossSectionCalculator->GetPol2();
|
|---|
| 318 | if (verboseLevel>=1) G4cout << " gammaPolarization1 = " <<finalGammaPolarization<<"\n";
|
|---|
| 319 | finalGammaPolarization.SetPhoton();
|
|---|
| 320 |
|
|---|
| 321 | // translate polarization into particle reference frame
|
|---|
| 322 | finalGammaPolarization.RotateAz(nInteractionFrame,gamDirection1);
|
|---|
| 323 | //store polarization vector
|
|---|
| 324 | fParticleChange->ProposePolarization(finalGammaPolarization);
|
|---|
| 325 | if (finalGammaPolarization.mag() > 1.+1.e-8){
|
|---|
| 326 | G4cout<<"ERROR in Polarizaed Compton Scattering !"<<G4endl;
|
|---|
| 327 | G4cout<<"Polarization of final photon more than 100%"<<G4endl;
|
|---|
| 328 | G4cout<<finalGammaPolarization<<" mag = "<<finalGammaPolarization.mag()<<G4endl;
|
|---|
| 329 | }
|
|---|
| 330 | if (verboseLevel>=1) {
|
|---|
| 331 | G4cout << " gammaPolarization1 = " <<finalGammaPolarization<<"\n";
|
|---|
| 332 | G4cout << " GammaDirection1 = " <<gamDirection1<<"\n";
|
|---|
| 333 | }
|
|---|
| 334 | }
|
|---|
| 335 |
|
|---|
| 336 | // if (ElecKineEnergy > fminimalEnergy) {
|
|---|
| 337 | {
|
|---|
| 338 | finalElectronPolarization = crossSectionCalculator->GetPol3();
|
|---|
| 339 | if (verboseLevel>=1)
|
|---|
| 340 | G4cout << " electronPolarization1 = " <<finalElectronPolarization<<"\n";
|
|---|
| 341 |
|
|---|
| 342 | // transfer into particle reference frame
|
|---|
| 343 | finalElectronPolarization.RotateAz(nInteractionFrame,eDirection);
|
|---|
| 344 | if (verboseLevel>=1) {
|
|---|
| 345 | G4cout << " electronPolarization1 = " <<finalElectronPolarization<<"\n";
|
|---|
| 346 | G4cout << " ElecDirection = " <<eDirection<<"\n";
|
|---|
| 347 | }
|
|---|
| 348 | }
|
|---|
| 349 | if (verboseLevel>=1)
|
|---|
| 350 | G4cout << "========================================\n";
|
|---|
| 351 |
|
|---|
| 352 |
|
|---|
| 353 | if(eKinEnergy > DBL_MIN) {
|
|---|
| 354 |
|
|---|
| 355 | // create G4DynamicParticle object for the electron.
|
|---|
| 356 | G4DynamicParticle* aElectron = new G4DynamicParticle(theElectron,eDirection,eKinEnergy);
|
|---|
| 357 | //store polarization vector
|
|---|
| 358 | if (finalElectronPolarization.mag() > 1.+1.e-8){
|
|---|
| 359 | G4cout<<"ERROR in Polarizaed Compton Scattering !"<<G4endl;
|
|---|
| 360 | G4cout<<"Polarization of final electron more than 100%"<<G4endl;
|
|---|
| 361 | G4cout<<finalElectronPolarization<<" mag = "<<finalElectronPolarization.mag()<<G4endl;
|
|---|
| 362 | }
|
|---|
| 363 | aElectron->SetPolarization(finalElectronPolarization.p1(),
|
|---|
| 364 | finalElectronPolarization.p2(),
|
|---|
| 365 | finalElectronPolarization.p3());
|
|---|
| 366 | fvect->push_back(aElectron);
|
|---|
| 367 | }
|
|---|
| 368 | }
|
|---|
| 369 |
|
|---|
| 370 | //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
|
|---|
| 371 |
|
|---|
| 372 |
|
|---|