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25 // 25 //
26 // 26 //
27 // ------------------------------------------- 27 // -------------------------------------------------------------------
28 // 28 //
29 // GEANT4 Class file 29 // GEANT4 Class file
30 // 30 //
31 // 31 //
32 // File name: G4PhotoElectricAngularGenera 32 // File name: G4PhotoElectricAngularGeneratorPolarized
33 // 33 //
34 // Author: A. C. Farinha, L. Peralta, P. Rodri 34 // Author: A. C. Farinha, L. Peralta, P. Rodrigues and A. Trindade
35 // 35 //
36 // Creation date: 36 // Creation date:
37 // 37 //
38 // Modifications: 38 // Modifications:
39 // 10 January 2006 39 // 10 January 2006
40 // 06 May 2011, Replace FILE with std::ifstrea 40 // 06 May 2011, Replace FILE with std::ifstream
41 // 41 //
42 // Class Description: 42 // Class Description:
43 // 43 //
44 // Concrete class for PhotoElectric Electron A 44 // Concrete class for PhotoElectric Electron Angular Polarized Distribution Generation
45 // 45 //
46 // Class Description: 46 // Class Description:
47 // PhotoElectric Electron Angular Generator ba 47 // PhotoElectric Electron Angular Generator based on the general Gavrila photoelectron angular distribution.
48 // Includes polarization effects for K and L1 48 // Includes polarization effects for K and L1 atomic shells, according to Gavrila (1959, 1961).
49 // For higher shells the L1 cross-section is u 49 // For higher shells the L1 cross-section is used.
50 // 50 //
51 // The Gavrila photoelectron angular distribut 51 // The Gavrila photoelectron angular distribution is a complex function which can not be sampled using
52 // the inverse-transform method (James 1980). 52 // the inverse-transform method (James 1980). Instead a more general approach based on the one already
53 // used to sample bremsstrahlung 2BN cross sec 53 // used to sample bremsstrahlung 2BN cross section (G4Generator2BN, Peralta, 2005) was used.
54 // 54 //
55 // M. Gavrila, "Relativistic K-Shell Photoeffe 55 // M. Gavrila, "Relativistic K-Shell Photoeffect", Phys. Rev. 113, 514-526 (1959)
56 // M. Gavrila, "Relativistic L-Shell Photoeffe 56 // M. Gavrila, "Relativistic L-Shell Photoeffect", Phys. Rev. 124, 1132-1141 (1961)
57 // F. James, Rept. on Prog. in Phys. 43, 1145 57 // F. James, Rept. on Prog. in Phys. 43, 1145 (1980)
58 // L. Peralta et al., "A new low-energy bremss 58 // L. Peralta et al., "A new low-energy bremsstrahlung generator for GEANT4", Radiat. Prot. Dosimetry. 116, 59-64 (2005)
59 // 59 //
60 // 60 //
61 // ------------------------------------------- 61 // -------------------------------------------------------------------
62 // 62 //
63 // 63 //
64 64
65 #include "G4PhotoElectricAngularGeneratorPolar 65 #include "G4PhotoElectricAngularGeneratorPolarized.hh"
66 #include "G4PhysicalConstants.hh" 66 #include "G4PhysicalConstants.hh"
67 #include "G4RotationMatrix.hh" 67 #include "G4RotationMatrix.hh"
68 #include "Randomize.hh" 68 #include "Randomize.hh"
69 #include "G4Exp.hh" 69 #include "G4Exp.hh"
70 70
71 G4PhotoElectricAngularGeneratorPolarized::G4Ph 71 G4PhotoElectricAngularGeneratorPolarized::G4PhotoElectricAngularGeneratorPolarized()
72 :G4VEmAngularDistribution("AngularGenSauterG 72 :G4VEmAngularDistribution("AngularGenSauterGavrilaPolarized")
73 { 73 {
74 const G4int arrayDim = 980; 74 const G4int arrayDim = 980;
75 75
76 //minimum electron beta parameter allowed 76 //minimum electron beta parameter allowed
77 betaArray[0] = 0.02; 77 betaArray[0] = 0.02;
78 //beta step 78 //beta step
79 betaArray[1] = 0.001; 79 betaArray[1] = 0.001;
80 //maximum index array for a and c tables 80 //maximum index array for a and c tables
81 betaArray[2] = arrayDim - 1; 81 betaArray[2] = arrayDim - 1;
82 82
83 // read Majorant Surface Parameters. This ar 83 // read Majorant Surface Parameters. This are required in order to generate
84 //Gavrila angular photoelectron distribution 84 //Gavrila angular photoelectron distribution
85 for(G4int level = 0; level < 2; level++){ 85 for(G4int level = 0; level < 2; level++){
86 char nameChar0[100] = "ftab0.dat"; // K-sh 86 char nameChar0[100] = "ftab0.dat"; // K-shell Majorant Surface Parameters
87 char nameChar1[100] = "ftab1.dat"; // L-sh 87 char nameChar1[100] = "ftab1.dat"; // L-shell Majorant Surface Parameters
88 88
89 G4String filename; 89 G4String filename;
90 if(level == 0) filename = nameChar0; 90 if(level == 0) filename = nameChar0;
91 if(level == 1) filename = nameChar1; 91 if(level == 1) filename = nameChar1;
92 92
93 const char* path = G4FindDataDir("G4LEDATA << 93 char* path = std::getenv("G4LEDATA");
94 if (!path) 94 if (!path)
95 { 95 {
96 G4String excep = "G4EMDataSet - G4LEDA 96 G4String excep = "G4EMDataSet - G4LEDATA environment variable not set";
97 G4Exception("G4PhotoElectricAngularGen 97 G4Exception("G4PhotoElectricAngularGeneratorPolarized::G4PhotoElectricAngularGeneratorPolarized",
98 "em0006",FatalException,"G4LEDATA envi 98 "em0006",FatalException,"G4LEDATA environment variable not set");
99 return; 99 return;
100 } 100 }
101 101
102 G4String pathString(path); 102 G4String pathString(path);
103 G4String dirFile = pathString + "/photoele 103 G4String dirFile = pathString + "/photoelectric_angular/" + filename;
104 std::ifstream infile(dirFile); 104 std::ifstream infile(dirFile);
105 if (!infile.is_open()) 105 if (!infile.is_open())
106 { 106 {
107 G4String excep = "data file: " + dirFile + " 107 G4String excep = "data file: " + dirFile + " not found";
108 G4Exception("G4PhotoElectricAngularGen 108 G4Exception("G4PhotoElectricAngularGeneratorPolarized::G4PhotoElectricAngularGeneratorPolarized",
109 "em0003",FatalException,excep); 109 "em0003",FatalException,excep);
110 return; 110 return;
111 } 111 }
112 112
113 // Read parameters into tables. The parame 113 // Read parameters into tables. The parameters are function of incident electron
114 // energy and shell level 114 // energy and shell level
115 G4float aRead=0,cRead=0, beta=0; 115 G4float aRead=0,cRead=0, beta=0;
116 for(G4int i=0 ; i<arrayDim ;++i){ 116 for(G4int i=0 ; i<arrayDim ;++i){
117 infile >> beta >> aRead >> cRead; 117 infile >> beta >> aRead >> cRead;
118 aMajorantSurfaceParameterTable[i][level] 118 aMajorantSurfaceParameterTable[i][level] = aRead;
119 cMajorantSurfaceParameterTable[i][level] 119 cMajorantSurfaceParameterTable[i][level] = cRead;
120 } 120 }
121 infile.close(); 121 infile.close();
122 } 122 }
123 } 123 }
124 124
125 //....oooOO0OOooo........oooOO0OOooo........oo 125 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
126 126
127 G4PhotoElectricAngularGeneratorPolarized::~G4P 127 G4PhotoElectricAngularGeneratorPolarized::~G4PhotoElectricAngularGeneratorPolarized()
128 {} 128 {}
129 129
130 //....oooOO0OOooo........oooOO0OOooo........oo 130 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
131 131
132 G4ThreeVector& 132 G4ThreeVector&
133 G4PhotoElectricAngularGeneratorPolarized::Samp 133 G4PhotoElectricAngularGeneratorPolarized::SampleDirection(
134 const G4Dynam 134 const G4DynamicParticle* dp,
135 G4double eKinEnergy, 135 G4double eKinEnergy,
136 G4int shellId, 136 G4int shellId,
137 const G4Material*) 137 const G4Material*)
138 { 138 {
139 // (shellId == 0) - K-shell - Polarized mod 139 // (shellId == 0) - K-shell - Polarized model for K-shell
140 // (shellId > 0) - L1-shell - Polarized mod 140 // (shellId > 0) - L1-shell - Polarized model for L1 and higher shells
141 141
142 // Calculate Lorentz term (gamma) and beta p 142 // Calculate Lorentz term (gamma) and beta parameters
143 G4double gamma = 1 + eKinEnergy/electron_mas 143 G4double gamma = 1 + eKinEnergy/electron_mass_c2;
144 G4double beta = std::sqrt((gamma - 1)*(gamm 144 G4double beta = std::sqrt((gamma - 1)*(gamma + 1))/gamma;
145 145
146 const G4ThreeVector& direction = dp->GetMome 146 const G4ThreeVector& direction = dp->GetMomentumDirection();
147 const G4ThreeVector& polarization = dp->GetP 147 const G4ThreeVector& polarization = dp->GetPolarization();
148 148
149 G4double theta, phi = 0; 149 G4double theta, phi = 0;
150 // Majorant surface parameters 150 // Majorant surface parameters
151 // function of the outgoing electron kinetic 151 // function of the outgoing electron kinetic energy
152 G4double aBeta = 0; 152 G4double aBeta = 0;
153 G4double cBeta = 0; 153 G4double cBeta = 0;
154 154
155 // For the outgoing kinetic energy 155 // For the outgoing kinetic energy
156 // find the current majorant surface paramet 156 // find the current majorant surface parameters
157 PhotoElectronGetMajorantSurfaceAandCParamete 157 PhotoElectronGetMajorantSurfaceAandCParameters(shellId, beta, &aBeta, &cBeta);
158 158
159 // Generate pho and theta according to the s 159 // Generate pho and theta according to the shell level
160 // and beta parameter of the electron 160 // and beta parameter of the electron
161 PhotoElectronGeneratePhiAndTheta(shellId, be 161 PhotoElectronGeneratePhiAndTheta(shellId, beta, aBeta, cBeta, &phi, &theta);
162 162
163 // Determine the rotation matrix 163 // Determine the rotation matrix
164 const G4RotationMatrix rotation = 164 const G4RotationMatrix rotation =
165 PhotoElectronRotationMatrix(direction, pol 165 PhotoElectronRotationMatrix(direction, polarization);
166 166
167 // Compute final direction of the outgoing e 167 // Compute final direction of the outgoing electron
168 fLocalDirection = PhotoElectronComputeFinalD 168 fLocalDirection = PhotoElectronComputeFinalDirection(rotation, theta, phi);
169 169
170 return fLocalDirection; 170 return fLocalDirection;
171 } 171 }
172 172
173 //....oooOO0OOooo........oooOO0OOooo........oo 173 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
174 174
175 void 175 void
176 G4PhotoElectricAngularGeneratorPolarized::Phot 176 G4PhotoElectricAngularGeneratorPolarized::PhotoElectronGeneratePhiAndTheta(
177 G4int shellLevel, G4double beta, G4doubl 177 G4int shellLevel, G4double beta, G4double aBeta, G4double cBeta,
178 G4double *pphi, G4double *ptheta) const 178 G4double *pphi, G4double *ptheta) const
179 { 179 {
180 G4double rand1, rand2, rand3 = 0; 180 G4double rand1, rand2, rand3 = 0;
181 G4double phi = 0; 181 G4double phi = 0;
182 G4double theta = 0; 182 G4double theta = 0;
183 G4double crossSectionValue = 0; 183 G4double crossSectionValue = 0;
184 G4double crossSectionMajorantFunctionValue = 184 G4double crossSectionMajorantFunctionValue = 0;
185 G4double maxBeta = 0; 185 G4double maxBeta = 0;
186 186
187 do { 187 do {
188 188
189 rand1 = G4UniformRand(); 189 rand1 = G4UniformRand();
190 rand2 = G4UniformRand(); 190 rand2 = G4UniformRand();
191 rand3 = G4UniformRand(); 191 rand3 = G4UniformRand();
192 192
193 phi=2*pi*rand1; 193 phi=2*pi*rand1;
194 194
195 if(shellLevel == 0){ 195 if(shellLevel == 0){
196 // Polarized Gavrila Cross-Section for K 196 // Polarized Gavrila Cross-Section for K-shell (1959)
197 theta=std::sqrt(((G4Exp(rand2*std::log(1 197 theta=std::sqrt(((G4Exp(rand2*std::log(1+cBeta*pi*pi)))-1)/cBeta);
198 crossSectionMajorantFunctionValue = 198 crossSectionMajorantFunctionValue =
199 CrossSectionMajorantFunction(theta, cBeta); 199 CrossSectionMajorantFunction(theta, cBeta);
200 crossSectionValue = DSigmaKshellGavrila1 200 crossSectionValue = DSigmaKshellGavrila1959(beta, theta, phi);
201 } else { 201 } else {
202 // Polarized Gavrila Cross-Section for 202 // Polarized Gavrila Cross-Section for other shells (L1-shell) (1961)
203 theta = std::sqrt(((G4Exp(rand2*std::log 203 theta = std::sqrt(((G4Exp(rand2*std::log(1+cBeta*pi*pi)))-1)/cBeta);
204 crossSectionMajorantFunctionValue = 204 crossSectionMajorantFunctionValue =
205 CrossSectionMajorantFunction(theta, cBeta); 205 CrossSectionMajorantFunction(theta, cBeta);
206 crossSectionValue = DSigmaL1shellGavrila 206 crossSectionValue = DSigmaL1shellGavrila(beta, theta, phi);
207 } 207 }
208 208
209 maxBeta=rand3*aBeta*crossSectionMajorantFu 209 maxBeta=rand3*aBeta*crossSectionMajorantFunctionValue;
210 if(crossSectionValue < 0.0) { crossSection 210 if(crossSectionValue < 0.0) { crossSectionValue = maxBeta; }
211 211
212 } while(maxBeta > crossSectionValue || theta 212 } while(maxBeta > crossSectionValue || theta > CLHEP::pi);
213 213
214 *pphi = phi; 214 *pphi = phi;
215 *ptheta = theta; 215 *ptheta = theta;
216 } 216 }
217 217
218 //....oooOO0OOooo........oooOO0OOooo........oo 218 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
219 219
220 G4double 220 G4double
221 G4PhotoElectricAngularGeneratorPolarized::Cros 221 G4PhotoElectricAngularGeneratorPolarized::CrossSectionMajorantFunction(
222 G4double theta, G4double cBeta) const 222 G4double theta, G4double cBeta) const
223 { 223 {
224 // Compute Majorant Function 224 // Compute Majorant Function
225 G4double crossSectionMajorantFunctionValue = 225 G4double crossSectionMajorantFunctionValue = 0;
226 crossSectionMajorantFunctionValue = theta/(1 226 crossSectionMajorantFunctionValue = theta/(1+cBeta*theta*theta);
227 return crossSectionMajorantFunctionValue; 227 return crossSectionMajorantFunctionValue;
228 } 228 }
229 229
230 //....oooOO0OOooo........oooOO0OOooo........oo 230 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
231 231
232 G4double 232 G4double
233 G4PhotoElectricAngularGeneratorPolarized::DSig 233 G4PhotoElectricAngularGeneratorPolarized::DSigmaKshellGavrila1959(
234 G4double beta, G4double theta, G4doub 234 G4double beta, G4double theta, G4double phi) const
235 { 235 {
236 //Double differential K shell cross-section 236 //Double differential K shell cross-section (Gavrila 1959)
237 237
238 G4double beta2 = beta*beta; 238 G4double beta2 = beta*beta;
239 G4double oneBeta2 = 1 - beta2; 239 G4double oneBeta2 = 1 - beta2;
240 G4double sqrtOneBeta2 = std::sqrt(oneBeta2); 240 G4double sqrtOneBeta2 = std::sqrt(oneBeta2);
241 G4double oneBeta2_to_3_2 = std::pow(oneBeta2 241 G4double oneBeta2_to_3_2 = std::pow(oneBeta2,1.5);
242 G4double cosTheta = std::cos(theta); 242 G4double cosTheta = std::cos(theta);
243 G4double sinTheta2 = std::sin(theta)*std::si 243 G4double sinTheta2 = std::sin(theta)*std::sin(theta);
244 G4double cosPhi2 = std::cos(phi)*std::cos(ph 244 G4double cosPhi2 = std::cos(phi)*std::cos(phi);
245 G4double oneBetaCosTheta = 1-beta*cosTheta; 245 G4double oneBetaCosTheta = 1-beta*cosTheta;
246 G4double dsigma = 0; 246 G4double dsigma = 0;
247 G4double firstTerm = 0; 247 G4double firstTerm = 0;
248 G4double secondTerm = 0; 248 G4double secondTerm = 0;
249 249
250 firstTerm = sinTheta2*cosPhi2/std::pow(oneBe 250 firstTerm = sinTheta2*cosPhi2/std::pow(oneBetaCosTheta,4)-(1 - sqrtOneBeta2)/(2*oneBeta2) *
251 (sinTheta2 * cosPhi2)/std::pow(o 251 (sinTheta2 * cosPhi2)/std::pow(oneBetaCosTheta,3) + (1-sqrtOneBeta2)*
252 (1-sqrtOneBeta2)/(4*oneBeta2_to_ 252 (1-sqrtOneBeta2)/(4*oneBeta2_to_3_2) * sinTheta2/std::pow(oneBetaCosTheta,3);
253 253
254 secondTerm = std::sqrt(1 - sqrtOneBeta2)/(st 254 secondTerm = std::sqrt(1 - sqrtOneBeta2)/(std::pow(2.,3.5)*beta2*std::pow(oneBetaCosTheta,2.5)) *
255 (4*beta2/sqrtOneBeta2 * sinThet 255 (4*beta2/sqrtOneBeta2 * sinTheta2*cosPhi2/oneBetaCosTheta + 4*beta/oneBeta2 * cosTheta * cosPhi2
256 - 4*(1-sqrtOneBeta2)/oneBeta2 * 256 - 4*(1-sqrtOneBeta2)/oneBeta2 *(1+cosPhi2) - beta2 * (1-sqrtOneBeta2)/oneBeta2 * sinTheta2/oneBetaCosTheta
257 + 4*beta2*(1-sqrtOneBeta2)/oneB 257 + 4*beta2*(1-sqrtOneBeta2)/oneBeta2_to_3_2 - 4*beta*(1-sqrtOneBeta2)*(1-sqrtOneBeta2)/oneBeta2_to_3_2 * cosTheta)
258 + (1-sqrtOneBeta2)/(4*beta2*one 258 + (1-sqrtOneBeta2)/(4*beta2*oneBetaCosTheta*oneBetaCosTheta) * (beta/oneBeta2 - 2/oneBeta2 * cosTheta * cosPhi2 +
259 (1-sqrtOneBeta2)/oneBeta2_to_3_ 259 (1-sqrtOneBeta2)/oneBeta2_to_3_2 * cosTheta - beta * (1-sqrtOneBeta2)/oneBeta2_to_3_2);
260 260
261 dsigma = ( firstTerm*(1-pi*fine_structure_co 261 dsigma = ( firstTerm*(1-pi*fine_structure_const/beta) + secondTerm*(pi*fine_structure_const) )*std::sin(theta);
262 262
263 return dsigma; 263 return dsigma;
264 } 264 }
265 265
266 //....oooOO0OOooo........oooOO0OOooo........oo 266 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
267 267
268 G4double 268 G4double
269 G4PhotoElectricAngularGeneratorPolarized::DSig 269 G4PhotoElectricAngularGeneratorPolarized::DSigmaL1shellGavrila(
270 G4double beta, G4double theta, G4doubl 270 G4double beta, G4double theta, G4double phi) const
271 { 271 {
272 //Double differential L1 shell cross-section 272 //Double differential L1 shell cross-section (Gavrila 1961)
273 // 26Oct2022: included factor (1/8) in dsigm <<
274 G4double beta2 = beta*beta; 273 G4double beta2 = beta*beta;
275 G4double oneBeta2 = 1-beta2; 274 G4double oneBeta2 = 1-beta2;
276 G4double sqrtOneBeta2 = std::sqrt(oneBeta2); 275 G4double sqrtOneBeta2 = std::sqrt(oneBeta2);
277 G4double oneBeta2_to_3_2=std::pow(oneBeta2,1 276 G4double oneBeta2_to_3_2=std::pow(oneBeta2,1.5);
278 G4double cosTheta = std::cos(theta); 277 G4double cosTheta = std::cos(theta);
279 G4double sinTheta2 =std::sin(theta)*std::sin 278 G4double sinTheta2 =std::sin(theta)*std::sin(theta);
280 G4double cosPhi2 = std::cos(phi)*std::cos(ph 279 G4double cosPhi2 = std::cos(phi)*std::cos(phi);
281 G4double oneBetaCosTheta = 1-beta*cosTheta; 280 G4double oneBetaCosTheta = 1-beta*cosTheta;
282 281
283 G4double dsigma = 0; 282 G4double dsigma = 0;
284 G4double firstTerm = 0; 283 G4double firstTerm = 0;
285 G4double secondTerm = 0; 284 G4double secondTerm = 0;
286 285
287 firstTerm = sinTheta2*cosPhi2/std::pow(oneBe 286 firstTerm = sinTheta2*cosPhi2/std::pow(oneBetaCosTheta,4)-(1 - sqrtOneBeta2)/(2*oneBeta2)
288 * (sinTheta2 * cosPhi2)/std::po 287 * (sinTheta2 * cosPhi2)/std::pow(oneBetaCosTheta,3) + (1-sqrtOneBeta2)*
289 (1-sqrtOneBeta2)/(4*oneBeta2_to_ 288 (1-sqrtOneBeta2)/(4*oneBeta2_to_3_2) * sinTheta2/std::pow(oneBetaCosTheta,3);
290 289
291 secondTerm = std::sqrt(1 - sqrtOneBeta2)/(st 290 secondTerm = std::sqrt(1 - sqrtOneBeta2)/(std::pow(2.,3.5)*beta2*std::pow(oneBetaCosTheta,2.5)) *
292 (4*beta2/sqrtOneBeta2 * sinThet 291 (4*beta2/sqrtOneBeta2 * sinTheta2*cosPhi2/oneBetaCosTheta + 4*beta/oneBeta2 * cosTheta * cosPhi2
293 - 4*(1-sqrtOneBeta2)/oneBeta2 * 292 - 4*(1-sqrtOneBeta2)/oneBeta2 *(1+cosPhi2) - beta2 * (1-sqrtOneBeta2)/oneBeta2 * sinTheta2/oneBetaCosTheta
294 + 4*beta2*(1-sqrtOneBeta2)/oneB 293 + 4*beta2*(1-sqrtOneBeta2)/oneBeta2_to_3_2 - 4*beta*(1-sqrtOneBeta2)*(1-sqrtOneBeta2)/oneBeta2_to_3_2 * cosTheta)
295 + (1-sqrtOneBeta2)/(4*beta2*one 294 + (1-sqrtOneBeta2)/(4*beta2*oneBetaCosTheta*oneBetaCosTheta) * (beta/oneBeta2 - 2/oneBeta2 * cosTheta * cosPhi2 +
296 (1-sqrtOneBeta2)/oneBeta2_to_3_ 295 (1-sqrtOneBeta2)/oneBeta2_to_3_2*cosTheta - beta*(1-sqrtOneBeta2)/oneBeta2_to_3_2);
297 296
298 dsigma = ( firstTerm*(1-pi*fine_structure_co << 297 dsigma = ( firstTerm*(1-pi*fine_structure_const/beta) + secondTerm*(pi*fine_structure_const) )*std::sin(theta);
299 298
300 return dsigma; 299 return dsigma;
301 } 300 }
302 301
303 //....oooOO0OOooo........oooOO0OOooo........oo 302 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
304 303
305 G4RotationMatrix 304 G4RotationMatrix
306 G4PhotoElectricAngularGeneratorPolarized::Phot 305 G4PhotoElectricAngularGeneratorPolarized::PhotoElectronRotationMatrix(
307 const G4ThreeVector& direction, 306 const G4ThreeVector& direction,
308 const G4ThreeVector& polarization) 307 const G4ThreeVector& polarization)
309 { 308 {
310 G4double mK = direction.mag(); 309 G4double mK = direction.mag();
311 G4double mS = polarization.mag(); 310 G4double mS = polarization.mag();
312 G4ThreeVector polarization2 = polarization; 311 G4ThreeVector polarization2 = polarization;
313 const G4double kTolerance = 1e-6; 312 const G4double kTolerance = 1e-6;
314 313
315 if(!(polarization.isOrthogonal(direction,kTo 314 if(!(polarization.isOrthogonal(direction,kTolerance)) || mS == 0){
316 G4ThreeVector d0 = direction.unit(); 315 G4ThreeVector d0 = direction.unit();
317 G4ThreeVector a1 = PerpendicularVector(d0) 316 G4ThreeVector a1 = PerpendicularVector(d0);
318 G4ThreeVector a0 = a1.unit(); 317 G4ThreeVector a0 = a1.unit();
319 G4double rand1 = G4UniformRand(); 318 G4double rand1 = G4UniformRand();
320 G4double angle = twopi*rand1; 319 G4double angle = twopi*rand1;
321 G4ThreeVector b0 = d0.cross(a0); 320 G4ThreeVector b0 = d0.cross(a0);
322 G4ThreeVector c; 321 G4ThreeVector c;
323 c.setX(std::cos(angle)*(a0.x())+std::sin(a 322 c.setX(std::cos(angle)*(a0.x())+std::sin(angle)*b0.x());
324 c.setY(std::cos(angle)*(a0.y())+std::sin(a 323 c.setY(std::cos(angle)*(a0.y())+std::sin(angle)*b0.y());
325 c.setZ(std::cos(angle)*(a0.z())+std::sin(a 324 c.setZ(std::cos(angle)*(a0.z())+std::sin(angle)*b0.z());
326 polarization2 = c.unit(); 325 polarization2 = c.unit();
327 mS = polarization2.mag(); 326 mS = polarization2.mag();
328 }else 327 }else
329 { 328 {
330 if ( polarization.howOrthogonal(directio 329 if ( polarization.howOrthogonal(direction) != 0)
331 { 330 {
332 polarization2 = polarization 331 polarization2 = polarization
333 - polarization.dot(direction)/direction. 332 - polarization.dot(direction)/direction.dot(direction) * direction;
334 } 333 }
335 } 334 }
336 335
337 G4ThreeVector direction2 = direction/mK; 336 G4ThreeVector direction2 = direction/mK;
338 polarization2 = polarization2/mS; 337 polarization2 = polarization2/mS;
339 338
340 G4ThreeVector y = direction2.cross(polarizat 339 G4ThreeVector y = direction2.cross(polarization2);
341 340
342 G4RotationMatrix R(polarization2,y,direction 341 G4RotationMatrix R(polarization2,y,direction2);
343 return R; 342 return R;
344 } 343 }
345 344
346 //....oooOO0OOooo........oooOO0OOooo........oo 345 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
347 346
348 void 347 void
349 G4PhotoElectricAngularGeneratorPolarized::Phot 348 G4PhotoElectricAngularGeneratorPolarized::PhotoElectronGetMajorantSurfaceAandCParameters(G4int shellId, G4double beta, G4double *majorantSurfaceParameterA, G4double *majorantSurfaceParameterC) const
350 { 349 {
351 // This member function finds for a given sh 350 // This member function finds for a given shell and beta value
352 // of the outgoing electron the correct Majo 351 // of the outgoing electron the correct Majorant Surface parameters
353 G4double aBeta,cBeta; 352 G4double aBeta,cBeta;
354 G4double bMin,bStep; 353 G4double bMin,bStep;
355 G4int indexMax; 354 G4int indexMax;
356 G4int level = 0; 355 G4int level = 0;
357 if(shellId > 0) { level = 1; } 356 if(shellId > 0) { level = 1; }
358 357
359 bMin = betaArray[0]; 358 bMin = betaArray[0];
360 bStep = betaArray[1]; 359 bStep = betaArray[1];
361 indexMax = (G4int)betaArray[2]; 360 indexMax = (G4int)betaArray[2];
362 const G4double kBias = 1e-9; 361 const G4double kBias = 1e-9;
363 362
364 G4int k = (G4int)((beta-bMin+kBias)/bStep); 363 G4int k = (G4int)((beta-bMin+kBias)/bStep);
365 364
366 if(k < 0) 365 if(k < 0)
367 k = 0; 366 k = 0;
368 if(k > indexMax) 367 if(k > indexMax)
369 k = indexMax; 368 k = indexMax;
370 369
371 if(k == 0) 370 if(k == 0)
372 aBeta = std::max(aMajorantSurfaceParameter 371 aBeta = std::max(aMajorantSurfaceParameterTable[k][level],aMajorantSurfaceParameterTable[k+1][level]);
373 else if(k==indexMax) 372 else if(k==indexMax)
374 aBeta = std::max(aMajorantSurfaceParameter 373 aBeta = std::max(aMajorantSurfaceParameterTable[k-1][level],aMajorantSurfaceParameterTable[k][level]);
375 else{ 374 else{
376 aBeta = std::max(aMajorantSurfaceParameter 375 aBeta = std::max(aMajorantSurfaceParameterTable[k-1][level],aMajorantSurfaceParameterTable[k][level]);
377 aBeta = std::max(aBeta,aMajorantSurfacePar 376 aBeta = std::max(aBeta,aMajorantSurfaceParameterTable[k+1][level]);
378 } 377 }
379 378
380 if(k == 0) 379 if(k == 0)
381 cBeta = std::max(cMajorantSurfaceParameter 380 cBeta = std::max(cMajorantSurfaceParameterTable[k][level],cMajorantSurfaceParameterTable[k+1][level]);
382 else if(k == indexMax) 381 else if(k == indexMax)
383 cBeta = std::max(cMajorantSurfaceParameter 382 cBeta = std::max(cMajorantSurfaceParameterTable[k-1][level],cMajorantSurfaceParameterTable[k][level]);
384 else{ 383 else{
385 cBeta = std::max(cMajorantSurfaceParameter 384 cBeta = std::max(cMajorantSurfaceParameterTable[k-1][level],cMajorantSurfaceParameterTable[k][level]);
386 cBeta = std::max(cBeta,cMajorantSurfacePar 385 cBeta = std::max(cBeta,cMajorantSurfaceParameterTable[k+1][level]);
387 } 386 }
388 387
389 *majorantSurfaceParameterA = aBeta; 388 *majorantSurfaceParameterA = aBeta;
390 *majorantSurfaceParameterC = cBeta; 389 *majorantSurfaceParameterC = cBeta;
391 } 390 }
392 391
393 //....oooOO0OOooo........oooOO0OOooo........oo 392 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
394 393
395 G4ThreeVector G4PhotoElectricAngularGeneratorP 394 G4ThreeVector G4PhotoElectricAngularGeneratorPolarized::PhotoElectronComputeFinalDirection(const G4RotationMatrix& rotation, G4double theta, G4double phi) const
396 { 395 {
397 //computes the photoelectron momentum unitar 396 //computes the photoelectron momentum unitary vector
398 G4double sint = std::sin(theta); 397 G4double sint = std::sin(theta);
399 G4double px = std::cos(phi)*sint; 398 G4double px = std::cos(phi)*sint;
400 G4double py = std::sin(phi)*sint; 399 G4double py = std::sin(phi)*sint;
401 G4double pz = std::cos(theta); 400 G4double pz = std::cos(theta);
402 401
403 G4ThreeVector samplingDirection(px,py,pz); 402 G4ThreeVector samplingDirection(px,py,pz);
404 403
405 G4ThreeVector outgoingDirection = rotation*s 404 G4ThreeVector outgoingDirection = rotation*samplingDirection;
406 return outgoingDirection; 405 return outgoingDirection;
407 } 406 }
408 407
409 //....oooOO0OOooo........oooOO0OOooo........oo 408 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
410 409
411 void G4PhotoElectricAngularGeneratorPolarized: 410 void G4PhotoElectricAngularGeneratorPolarized::PrintGeneratorInformation() const
412 { 411 {
413 G4cout << "\n" << G4endl; 412 G4cout << "\n" << G4endl;
414 G4cout << "Polarized Photoelectric Angular G 413 G4cout << "Polarized Photoelectric Angular Generator" << G4endl;
415 G4cout << "PhotoElectric Electron Angular Ge 414 G4cout << "PhotoElectric Electron Angular Generator based on the general Gavrila photoelectron angular distribution" << G4endl;
416 G4cout << "Includes polarization effects for 415 G4cout << "Includes polarization effects for K and L1 atomic shells, according to Gavrilla (1959, 1961)." << G4endl;
417 G4cout << "For higher shells the L1 cross-se 416 G4cout << "For higher shells the L1 cross-section is used." << G4endl;
418 G4cout << "(see Physics Reference Manual) \n 417 G4cout << "(see Physics Reference Manual) \n" << G4endl;
419 } 418 }
420 419
421 //....oooOO0OOooo........oooOO0OOooo........oo 420 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
422 421
423 G4ThreeVector 422 G4ThreeVector
424 G4PhotoElectricAngularGeneratorPolarized::Perp 423 G4PhotoElectricAngularGeneratorPolarized::PerpendicularVector(
425 const G4ThreeVector& a) const 424 const G4ThreeVector& a) const
426 { 425 {
427 G4double dx = a.x(); 426 G4double dx = a.x();
428 G4double dy = a.y(); 427 G4double dy = a.y();
429 G4double dz = a.z(); 428 G4double dz = a.z();
430 G4double x = dx < 0.0 ? -dx : dx; 429 G4double x = dx < 0.0 ? -dx : dx;
431 G4double y = dy < 0.0 ? -dy : dy; 430 G4double y = dy < 0.0 ? -dy : dy;
432 G4double z = dz < 0.0 ? -dz : dz; 431 G4double z = dz < 0.0 ? -dz : dz;
433 if (x < y) { 432 if (x < y) {
434 return x < z ? G4ThreeVector(-dy,dx,0) : G 433 return x < z ? G4ThreeVector(-dy,dx,0) : G4ThreeVector(0,-dz,dy);
435 }else{ 434 }else{
436 return y < z ? G4ThreeVector(dz,0,-dx) : G 435 return y < z ? G4ThreeVector(dz,0,-dx) : G4ThreeVector(-dy,dx,0);
437 } 436 }
438 } 437 }
439 438