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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 <<
41 // 40 //
42 // Class Description: << 41 // Class Description:
43 // 42 //
44 // Concrete class for PhotoElectric Electron A << 43 // Concrete class for PhotoElectric Electron Angular Polarized Distribution Generation
45 // 44 //
46 // Class Description: << 45 // Class Description:
47 // PhotoElectric Electron Angular Generator ba 46 // PhotoElectric Electron Angular Generator based on the general Gavrila photoelectron angular distribution.
48 // Includes polarization effects for K and L1 47 // Includes polarization effects for K and L1 atomic shells, according to Gavrila (1959, 1961).
49 // For higher shells the L1 cross-section is u << 48 // For higher shells the L1 cross-section is used.
50 // 49 //
51 // The Gavrila photoelectron angular distribut 50 // The Gavrila photoelectron angular distribution is a complex function which can not be sampled using
52 // the inverse-transform method (James 1980). << 51 // the inverse-transform method (James 1980). Instead a more general approach based on the one already
53 // used to sample bremsstrahlung 2BN cross sec 52 // used to sample bremsstrahlung 2BN cross section (G4Generator2BN, Peralta, 2005) was used.
54 // 53 //
55 // M. Gavrila, "Relativistic K-Shell Photoeffe 54 // M. Gavrila, "Relativistic K-Shell Photoeffect", Phys. Rev. 113, 514-526 (1959)
56 // M. Gavrila, "Relativistic L-Shell Photoeffe 55 // M. Gavrila, "Relativistic L-Shell Photoeffect", Phys. Rev. 124, 1132-1141 (1961)
57 // F. James, Rept. on Prog. in Phys. 43, 1145 56 // F. James, Rept. on Prog. in Phys. 43, 1145 (1980)
58 // L. Peralta et al., "A new low-energy bremss 57 // L. Peralta et al., "A new low-energy bremsstrahlung generator for GEANT4", Radiat. Prot. Dosimetry. 116, 59-64 (2005)
59 // 58 //
60 // 59 //
61 // ------------------------------------------- 60 // -------------------------------------------------------------------
62 // 61 //
63 // << 62 //
64 63
65 #include "G4PhotoElectricAngularGeneratorPolar 64 #include "G4PhotoElectricAngularGeneratorPolarized.hh"
66 #include "G4PhysicalConstants.hh" <<
67 #include "G4RotationMatrix.hh" 65 #include "G4RotationMatrix.hh"
68 #include "Randomize.hh" 66 #include "Randomize.hh"
69 #include "G4Exp.hh" <<
70 67
71 G4PhotoElectricAngularGeneratorPolarized::G4Ph << 68 //
72 :G4VEmAngularDistribution("AngularGenSauterG << 69
>> 70 G4PhotoElectricAngularGeneratorPolarized::G4PhotoElectricAngularGeneratorPolarized(const G4String& name):G4VPhotoElectricAngularDistribution(name)
73 { 71 {
74 const G4int arrayDim = 980; 72 const G4int arrayDim = 980;
75 73
76 //minimum electron beta parameter allowed 74 //minimum electron beta parameter allowed
77 betaArray[0] = 0.02; 75 betaArray[0] = 0.02;
78 //beta step 76 //beta step
79 betaArray[1] = 0.001; 77 betaArray[1] = 0.001;
80 //maximum index array for a and c tables 78 //maximum index array for a and c tables
81 betaArray[2] = arrayDim - 1; 79 betaArray[2] = arrayDim - 1;
82 80
83 // read Majorant Surface Parameters. This ar << 81 // read Majorant Surface Parameters. This are required in order to generate Gavrila angular photoelectron distribution
84 //Gavrila angular photoelectron distribution <<
85 for(G4int level = 0; level < 2; level++){ 82 for(G4int level = 0; level < 2; level++){
>> 83
86 char nameChar0[100] = "ftab0.dat"; // K-sh 84 char nameChar0[100] = "ftab0.dat"; // K-shell Majorant Surface Parameters
87 char nameChar1[100] = "ftab1.dat"; // L-sh 85 char nameChar1[100] = "ftab1.dat"; // L-shell Majorant Surface Parameters
88 86
89 G4String filename; 87 G4String filename;
90 if(level == 0) filename = nameChar0; 88 if(level == 0) filename = nameChar0;
91 if(level == 1) filename = nameChar1; 89 if(level == 1) filename = nameChar1;
92 90
93 const char* path = G4FindDataDir("G4LEDATA << 91 char* path = getenv("G4LEDATA");
94 if (!path) 92 if (!path)
95 { 93 {
96 G4String excep = "G4EMDataSet - G4LEDA 94 G4String excep = "G4EMDataSet - G4LEDATA environment variable not set";
97 G4Exception("G4PhotoElectricAngularGen << 95 G4Exception(excep);
98 "em0006",FatalException,"G4LEDATA envi <<
99 return; <<
100 } 96 }
101 97
102 G4String pathString(path); 98 G4String pathString(path);
103 G4String dirFile = pathString + "/photoele 99 G4String dirFile = pathString + "/photoelectric_angular/" + filename;
104 std::ifstream infile(dirFile); << 100 FILE *infile;
105 if (!infile.is_open()) << 101 infile = fopen(dirFile,"r");
>> 102 if (infile == 0)
106 { 103 {
107 G4String excep = "data file: " + dirFile + " << 104 G4String excep = "G4PhotoElectricAngularGeneratorPolarized - data file: " + dirFile + " not found";
108 G4Exception("G4PhotoElectricAngularGen << 105 G4Exception(excep);
109 "em0003",FatalException,excep); <<
110 return; <<
111 } 106 }
112 107
113 // Read parameters into tables. The parame << 108 // Read parameters into tables. The parameters are function of incident electron energy and shell level
114 // energy and shell level << 109 G4float aRead,cRead, beta;
115 G4float aRead=0,cRead=0, beta=0; << 110 for(G4int i=0 ; i<arrayDim ;i++){
116 for(G4int i=0 ; i<arrayDim ;++i){ << 111 fscanf(infile,"%f\t %e\t %e",&beta,&aRead,&cRead);
117 infile >> beta >> aRead >> cRead; << 112 aMajorantSurfaceParameterTable[i][level] = aRead;
118 aMajorantSurfaceParameterTable[i][level] <<
119 cMajorantSurfaceParameterTable[i][level] 113 cMajorantSurfaceParameterTable[i][level] = cRead;
120 } 114 }
121 infile.close(); << 115 fclose(infile);
>> 116
122 } 117 }
123 } 118 }
124 119
125 //....oooOO0OOooo........oooOO0OOooo........oo << 120 //
126 121
127 G4PhotoElectricAngularGeneratorPolarized::~G4P << 122 G4PhotoElectricAngularGeneratorPolarized::~G4PhotoElectricAngularGeneratorPolarized()
128 {} << 123 {;}
129 124
130 //....oooOO0OOooo........oooOO0OOooo........oo << 125 //
131 126
132 G4ThreeVector& << 127 G4ThreeVector G4PhotoElectricAngularGeneratorPolarized::GetPhotoElectronDirection(const G4ThreeVector& direction, const G4double eKineticEnergy,
133 G4PhotoElectricAngularGeneratorPolarized::Samp << 128 const G4ThreeVector& polarization, const G4int shellId) const
134 const G4Dynam <<
135 G4double eKinEnergy, <<
136 G4int shellId, <<
137 const G4Material*) <<
138 { 129 {
139 // (shellId == 0) - K-shell - Polarized mod <<
140 // (shellId > 0) - L1-shell - Polarized mod <<
141 <<
142 // Calculate Lorentz term (gamma) and beta p 130 // Calculate Lorentz term (gamma) and beta parameters
143 G4double gamma = 1 + eKinEnergy/electron_mas << 131 G4double gamma = 1. + eKineticEnergy/electron_mass_c2;
144 G4double beta = std::sqrt((gamma - 1)*(gamm << 132 G4double beta = std::sqrt(gamma*gamma-1.)/gamma;
145 <<
146 const G4ThreeVector& direction = dp->GetMome <<
147 const G4ThreeVector& polarization = dp->GetP <<
148 133
149 G4double theta, phi = 0; 134 G4double theta, phi = 0;
150 // Majorant surface parameters << 135 G4double aBeta = 0; // Majorant surface parameter (function of the outgoing electron kinetic energy)
151 // function of the outgoing electron kinetic << 136 G4double cBeta = 0; // Majorant surface parameter (function of the outgoing electron kinetic energy)
152 G4double aBeta = 0; << 137
153 G4double cBeta = 0; << 138 G4int shellLevel = 0;
154 << 139 if(shellId < 2) shellLevel = 0; // K-shell // Polarized model for K-shell
155 // For the outgoing kinetic energy << 140 if(shellId >= 2) shellLevel = 1; // L1-shell // Polarized model for L1 and higher shells
156 // find the current majorant surface paramet << 141
157 PhotoElectronGetMajorantSurfaceAandCParamete << 142 // For the outgoing kinetic energy find the current majorant surface parameters
158 << 143 PhotoElectronGetMajorantSurfaceAandCParameters( shellLevel, beta, &aBeta, &cBeta);
159 // Generate pho and theta according to the s << 144
160 // and beta parameter of the electron << 145 // Generate pho and theta according to the shell level and beta parameter of the electron
161 PhotoElectronGeneratePhiAndTheta(shellId, be << 146 PhotoElectronGeneratePhiAndTheta(shellLevel, beta, aBeta, cBeta, &phi, &theta);
162 147
163 // Determine the rotation matrix 148 // Determine the rotation matrix
164 const G4RotationMatrix rotation = << 149 G4RotationMatrix rotation = PhotoElectronRotationMatrix(direction, polarization);
165 PhotoElectronRotationMatrix(direction, pol <<
166 150
167 // Compute final direction of the outgoing e 151 // Compute final direction of the outgoing electron
168 fLocalDirection = PhotoElectronComputeFinalD << 152 G4ThreeVector final_direction = PhotoElectronComputeFinalDirection(rotation, theta, phi);
169 153
170 return fLocalDirection; << 154 return final_direction;
171 } 155 }
172 156
173 //....oooOO0OOooo........oooOO0OOooo........oo << 157 //
174 158
175 void << 159 void G4PhotoElectricAngularGeneratorPolarized::PhotoElectronGeneratePhiAndTheta(const G4int shellLevel, const G4double beta,
176 G4PhotoElectricAngularGeneratorPolarized::Phot << 160 const G4double aBeta, const G4double cBeta,
177 G4int shellLevel, G4double beta, G4doubl << 161 G4double *pphi, G4double *ptheta) const
178 G4double *pphi, G4double *ptheta) const <<
179 { 162 {
180 G4double rand1, rand2, rand3 = 0; 163 G4double rand1, rand2, rand3 = 0;
181 G4double phi = 0; 164 G4double phi = 0;
182 G4double theta = 0; 165 G4double theta = 0;
183 G4double crossSectionValue = 0; 166 G4double crossSectionValue = 0;
184 G4double crossSectionMajorantFunctionValue = 167 G4double crossSectionMajorantFunctionValue = 0;
185 G4double maxBeta = 0; 168 G4double maxBeta = 0;
186 169
187 do { 170 do {
188 171
189 rand1 = G4UniformRand(); 172 rand1 = G4UniformRand();
190 rand2 = G4UniformRand(); 173 rand2 = G4UniformRand();
191 rand3 = G4UniformRand(); 174 rand3 = G4UniformRand();
192 << 175
193 phi=2*pi*rand1; 176 phi=2*pi*rand1;
194 177
195 if(shellLevel == 0){ 178 if(shellLevel == 0){
>> 179
196 // Polarized Gavrila Cross-Section for K 180 // Polarized Gavrila Cross-Section for K-shell (1959)
197 theta=std::sqrt(((G4Exp(rand2*std::log(1 << 181 theta=std::sqrt(((std::exp(rand2*std::log(1+cBeta*pi*pi)))-1)/cBeta);
198 crossSectionMajorantFunctionValue = << 182 crossSectionMajorantFunctionValue = CrossSectionMajorantFunction(theta, cBeta);
199 CrossSectionMajorantFunction(theta, cBeta); <<
200 crossSectionValue = DSigmaKshellGavrila1 183 crossSectionValue = DSigmaKshellGavrila1959(beta, theta, phi);
>> 184
201 } else { 185 } else {
>> 186
202 // Polarized Gavrila Cross-Section for 187 // Polarized Gavrila Cross-Section for other shells (L1-shell) (1961)
203 theta = std::sqrt(((G4Exp(rand2*std::log << 188 theta = std::sqrt(((std::exp(rand2*std::log(1+cBeta*pi*pi)))-1)/cBeta);
204 crossSectionMajorantFunctionValue = << 189 crossSectionMajorantFunctionValue = CrossSectionMajorantFunction(theta, cBeta);
205 CrossSectionMajorantFunction(theta, cBeta); <<
206 crossSectionValue = DSigmaL1shellGavrila 190 crossSectionValue = DSigmaL1shellGavrila(beta, theta, phi);
>> 191
207 } 192 }
208 193
209 maxBeta=rand3*aBeta*crossSectionMajorantFu 194 maxBeta=rand3*aBeta*crossSectionMajorantFunctionValue;
210 if(crossSectionValue < 0.0) { crossSection <<
211 195
212 } while(maxBeta > crossSectionValue || theta << 196 }while(maxBeta > crossSectionValue);
213 197
214 *pphi = phi; 198 *pphi = phi;
215 *ptheta = theta; 199 *ptheta = theta;
216 } 200 }
217 201
218 //....oooOO0OOooo........oooOO0OOooo........oo << 202 //
219 203
220 G4double << 204 G4double G4PhotoElectricAngularGeneratorPolarized::CrossSectionMajorantFunction(const G4double theta, const G4double cBeta) const
221 G4PhotoElectricAngularGeneratorPolarized::Cros <<
222 G4double theta, G4double cBeta) const <<
223 { 205 {
224 // Compute Majorant Function 206 // Compute Majorant Function
225 G4double crossSectionMajorantFunctionValue = << 207 G4double crossSectionMajorantFunctionValue = 0;
226 crossSectionMajorantFunctionValue = theta/(1 208 crossSectionMajorantFunctionValue = theta/(1+cBeta*theta*theta);
227 return crossSectionMajorantFunctionValue; 209 return crossSectionMajorantFunctionValue;
228 } 210 }
229 211
230 //....oooOO0OOooo........oooOO0OOooo........oo << 212 //
231 213
232 G4double << 214 G4double G4PhotoElectricAngularGeneratorPolarized::DSigmaKshellGavrila1959(const G4double beta, const G4double theta, const G4double phi) const
233 G4PhotoElectricAngularGeneratorPolarized::DSig <<
234 G4double beta, G4double theta, G4doub <<
235 { 215 {
>> 216
236 //Double differential K shell cross-section 217 //Double differential K shell cross-section (Gavrila 1959)
237 218
238 G4double beta2 = beta*beta; 219 G4double beta2 = beta*beta;
239 G4double oneBeta2 = 1 - beta2; 220 G4double oneBeta2 = 1 - beta2;
240 G4double sqrtOneBeta2 = std::sqrt(oneBeta2); 221 G4double sqrtOneBeta2 = std::sqrt(oneBeta2);
241 G4double oneBeta2_to_3_2 = std::pow(oneBeta2 222 G4double oneBeta2_to_3_2 = std::pow(oneBeta2,1.5);
242 G4double cosTheta = std::cos(theta); 223 G4double cosTheta = std::cos(theta);
243 G4double sinTheta2 = std::sin(theta)*std::si 224 G4double sinTheta2 = std::sin(theta)*std::sin(theta);
244 G4double cosPhi2 = std::cos(phi)*std::cos(ph 225 G4double cosPhi2 = std::cos(phi)*std::cos(phi);
245 G4double oneBetaCosTheta = 1-beta*cosTheta; 226 G4double oneBetaCosTheta = 1-beta*cosTheta;
246 G4double dsigma = 0; 227 G4double dsigma = 0;
247 G4double firstTerm = 0; 228 G4double firstTerm = 0;
248 G4double secondTerm = 0; 229 G4double secondTerm = 0;
249 230
250 firstTerm = sinTheta2*cosPhi2/std::pow(oneBe << 231 firstTerm = sinTheta2*cosPhi2/std::pow(oneBetaCosTheta,4)-(1 - sqrtOneBeta2)/(2*oneBeta2) *
251 (sinTheta2 * cosPhi2)/std::pow(o 232 (sinTheta2 * cosPhi2)/std::pow(oneBetaCosTheta,3) + (1-sqrtOneBeta2)*
252 (1-sqrtOneBeta2)/(4*oneBeta2_to_ 233 (1-sqrtOneBeta2)/(4*oneBeta2_to_3_2) * sinTheta2/std::pow(oneBetaCosTheta,3);
253 234
254 secondTerm = std::sqrt(1 - sqrtOneBeta2)/(st 235 secondTerm = std::sqrt(1 - sqrtOneBeta2)/(std::pow(2.,3.5)*beta2*std::pow(oneBetaCosTheta,2.5)) *
255 (4*beta2/sqrtOneBeta2 * sinThet 236 (4*beta2/sqrtOneBeta2 * sinTheta2*cosPhi2/oneBetaCosTheta + 4*beta/oneBeta2 * cosTheta * cosPhi2
256 - 4*(1-sqrtOneBeta2)/oneBeta2 * 237 - 4*(1-sqrtOneBeta2)/oneBeta2 *(1+cosPhi2) - beta2 * (1-sqrtOneBeta2)/oneBeta2 * sinTheta2/oneBetaCosTheta
257 + 4*beta2*(1-sqrtOneBeta2)/oneB 238 + 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 << 239 + (1-sqrtOneBeta2)/(4*beta2*oneBetaCosTheta*oneBetaCosTheta) * (beta/oneBeta2 - 2/oneBeta2 * cosTheta * cosPhi2 +
259 (1-sqrtOneBeta2)/oneBeta2_to_3_ 240 (1-sqrtOneBeta2)/oneBeta2_to_3_2 * cosTheta - beta * (1-sqrtOneBeta2)/oneBeta2_to_3_2);
260 241
261 dsigma = ( firstTerm*(1-pi*fine_structure_co << 242 dsigma = ( firstTerm*(1-pi*fine_structure_const/beta) + secondTerm*(pi*fine_structure_const) );
262 243
263 return dsigma; 244 return dsigma;
264 } 245 }
265 246
266 //....oooOO0OOooo........oooOO0OOooo........oo << 247 //
267 248
268 G4double << 249 G4double G4PhotoElectricAngularGeneratorPolarized::DSigmaL1shellGavrila(const G4double beta, const G4double theta, const G4double phi) const
269 G4PhotoElectricAngularGeneratorPolarized::DSig <<
270 G4double beta, G4double theta, G4doubl <<
271 { 250 {
>> 251
272 //Double differential L1 shell cross-section 252 //Double differential L1 shell cross-section (Gavrila 1961)
273 // 26Oct2022: included factor (1/8) in dsigm << 253
274 G4double beta2 = beta*beta; 254 G4double beta2 = beta*beta;
275 G4double oneBeta2 = 1-beta2; 255 G4double oneBeta2 = 1-beta2;
276 G4double sqrtOneBeta2 = std::sqrt(oneBeta2); 256 G4double sqrtOneBeta2 = std::sqrt(oneBeta2);
277 G4double oneBeta2_to_3_2=std::pow(oneBeta2,1 257 G4double oneBeta2_to_3_2=std::pow(oneBeta2,1.5);
278 G4double cosTheta = std::cos(theta); 258 G4double cosTheta = std::cos(theta);
279 G4double sinTheta2 =std::sin(theta)*std::sin 259 G4double sinTheta2 =std::sin(theta)*std::sin(theta);
280 G4double cosPhi2 = std::cos(phi)*std::cos(ph 260 G4double cosPhi2 = std::cos(phi)*std::cos(phi);
281 G4double oneBetaCosTheta = 1-beta*cosTheta; 261 G4double oneBetaCosTheta = 1-beta*cosTheta;
282 << 262
283 G4double dsigma = 0; 263 G4double dsigma = 0;
284 G4double firstTerm = 0; 264 G4double firstTerm = 0;
285 G4double secondTerm = 0; 265 G4double secondTerm = 0;
286 266
287 firstTerm = sinTheta2*cosPhi2/std::pow(oneBe 267 firstTerm = sinTheta2*cosPhi2/std::pow(oneBetaCosTheta,4)-(1 - sqrtOneBeta2)/(2*oneBeta2)
288 * (sinTheta2 * cosPhi2)/std::po 268 * (sinTheta2 * cosPhi2)/std::pow(oneBetaCosTheta,3) + (1-sqrtOneBeta2)*
289 (1-sqrtOneBeta2)/(4*oneBeta2_to_ 269 (1-sqrtOneBeta2)/(4*oneBeta2_to_3_2) * sinTheta2/std::pow(oneBetaCosTheta,3);
290 270
291 secondTerm = std::sqrt(1 - sqrtOneBeta2)/(st 271 secondTerm = std::sqrt(1 - sqrtOneBeta2)/(std::pow(2.,3.5)*beta2*std::pow(oneBetaCosTheta,2.5)) *
292 (4*beta2/sqrtOneBeta2 * sinThet 272 (4*beta2/sqrtOneBeta2 * sinTheta2*cosPhi2/oneBetaCosTheta + 4*beta/oneBeta2 * cosTheta * cosPhi2
293 - 4*(1-sqrtOneBeta2)/oneBeta2 * 273 - 4*(1-sqrtOneBeta2)/oneBeta2 *(1+cosPhi2) - beta2 * (1-sqrtOneBeta2)/oneBeta2 * sinTheta2/oneBetaCosTheta
294 + 4*beta2*(1-sqrtOneBeta2)/oneB 274 + 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 << 275 + (1-sqrtOneBeta2)/(4*beta2*oneBetaCosTheta*oneBetaCosTheta) * (beta/oneBeta2 - 2/oneBeta2 * cosTheta * cosPhi2 +
296 (1-sqrtOneBeta2)/oneBeta2_to_3_ 276 (1-sqrtOneBeta2)/oneBeta2_to_3_2*cosTheta - beta*(1-sqrtOneBeta2)/oneBeta2_to_3_2);
297 277
298 dsigma = ( firstTerm*(1-pi*fine_structure_co << 278 dsigma = ( firstTerm*(1-pi*fine_structure_const/beta) + secondTerm*(pi*fine_structure_const) );
299 279
300 return dsigma; 280 return dsigma;
301 } 281 }
302 282
303 //....oooOO0OOooo........oooOO0OOooo........oo << 283 G4double G4PhotoElectricAngularGeneratorPolarized::GetMax(const G4double arg1, const G4double arg2) const
>> 284 {
>> 285 if (arg1 > arg2)
>> 286 return arg1;
>> 287 else
>> 288 return arg2;
>> 289 }
304 290
305 G4RotationMatrix << 291 //
306 G4PhotoElectricAngularGeneratorPolarized::Phot << 292
307 const G4ThreeVector& direction, << 293 G4RotationMatrix G4PhotoElectricAngularGeneratorPolarized::PhotoElectronRotationMatrix(const G4ThreeVector& direction,
308 const G4ThreeVector& polarization) << 294 const G4ThreeVector& polarization) const
309 { 295 {
310 G4double mK = direction.mag(); 296 G4double mK = direction.mag();
311 G4double mS = polarization.mag(); 297 G4double mS = polarization.mag();
312 G4ThreeVector polarization2 = polarization; 298 G4ThreeVector polarization2 = polarization;
313 const G4double kTolerance = 1e-6; 299 const G4double kTolerance = 1e-6;
314 300
315 if(!(polarization.isOrthogonal(direction,kTo 301 if(!(polarization.isOrthogonal(direction,kTolerance)) || mS == 0){
316 G4ThreeVector d0 = direction.unit(); 302 G4ThreeVector d0 = direction.unit();
317 G4ThreeVector a1 = PerpendicularVector(d0) << 303 G4ThreeVector a1 = SetPerpendicularVector(d0);
318 G4ThreeVector a0 = a1.unit(); << 304 G4ThreeVector a0 = a1.unit();
319 G4double rand1 = G4UniformRand(); 305 G4double rand1 = G4UniformRand();
320 G4double angle = twopi*rand1; << 306 G4double angle = twopi*rand1;
321 G4ThreeVector b0 = d0.cross(a0); << 307 G4ThreeVector b0 = d0.cross(a0);
322 G4ThreeVector c; 308 G4ThreeVector c;
323 c.setX(std::cos(angle)*(a0.x())+std::sin(a 309 c.setX(std::cos(angle)*(a0.x())+std::sin(angle)*b0.x());
324 c.setY(std::cos(angle)*(a0.y())+std::sin(a 310 c.setY(std::cos(angle)*(a0.y())+std::sin(angle)*b0.y());
325 c.setZ(std::cos(angle)*(a0.z())+std::sin(a 311 c.setZ(std::cos(angle)*(a0.z())+std::sin(angle)*b0.z());
326 polarization2 = c.unit(); 312 polarization2 = c.unit();
327 mS = polarization2.mag(); 313 mS = polarization2.mag();
328 }else 314 }else
329 { 315 {
330 if ( polarization.howOrthogonal(directio 316 if ( polarization.howOrthogonal(direction) != 0)
331 { 317 {
332 polarization2 = polarization << 318 polarization2 = polarization - polarization.dot(direction)/direction.dot(direction) * direction;
333 - polarization.dot(direction)/direction. <<
334 } 319 }
335 } 320 }
336 321
337 G4ThreeVector direction2 = direction/mK; 322 G4ThreeVector direction2 = direction/mK;
338 polarization2 = polarization2/mS; 323 polarization2 = polarization2/mS;
339 324
340 G4ThreeVector y = direction2.cross(polarizat 325 G4ThreeVector y = direction2.cross(polarization2);
341 << 326
342 G4RotationMatrix R(polarization2,y,direction 327 G4RotationMatrix R(polarization2,y,direction2);
343 return R; 328 return R;
344 } 329 }
345 330
346 //....oooOO0OOooo........oooOO0OOooo........oo << 331 void G4PhotoElectricAngularGeneratorPolarized::PhotoElectronGetMajorantSurfaceAandCParameters(const G4int shellLevel, const G4double beta,G4double *majorantSurfaceParameterA, G4double *majorantSurfaceParameterC) const
347 <<
348 void <<
349 G4PhotoElectricAngularGeneratorPolarized::Phot <<
350 { 332 {
351 // This member function finds for a given sh << 333 // This member function finds for a given shell and beta value of the outgoing electron the correct Majorant Surface parameters
352 // of the outgoing electron the correct Majo << 334
353 G4double aBeta,cBeta; 335 G4double aBeta,cBeta;
354 G4double bMin,bStep; 336 G4double bMin,bStep;
355 G4int indexMax; 337 G4int indexMax;
356 G4int level = 0; << 338 G4int level = shellLevel;
357 if(shellId > 0) { level = 1; } << 339 if(shellLevel > 1) level = 1; // protection since only K and L1 polarized double differential cross-sections were implemented
358 << 340
359 bMin = betaArray[0]; 341 bMin = betaArray[0];
360 bStep = betaArray[1]; 342 bStep = betaArray[1];
361 indexMax = (G4int)betaArray[2]; 343 indexMax = (G4int)betaArray[2];
362 const G4double kBias = 1e-9; 344 const G4double kBias = 1e-9;
363 345
364 G4int k = (G4int)((beta-bMin+kBias)/bStep); << 346 G4int k = (G4int)((beta-bMin+kBias)/bStep);
365 << 347
366 if(k < 0) 348 if(k < 0)
367 k = 0; 349 k = 0;
368 if(k > indexMax) 350 if(k > indexMax)
369 k = indexMax; << 351 k = indexMax;
370 << 352
371 if(k == 0) << 353 if(k == 0)
372 aBeta = std::max(aMajorantSurfaceParameter << 354 aBeta = GetMax(aMajorantSurfaceParameterTable[k][level],aMajorantSurfaceParameterTable[k+1][level]);
373 else if(k==indexMax) 355 else if(k==indexMax)
374 aBeta = std::max(aMajorantSurfaceParameter << 356 aBeta = GetMax(aMajorantSurfaceParameterTable[k-1][level],aMajorantSurfaceParameterTable[k][level]);
375 else{ 357 else{
376 aBeta = std::max(aMajorantSurfaceParameter << 358 aBeta = GetMax(aMajorantSurfaceParameterTable[k-1][level],aMajorantSurfaceParameterTable[k][level]);
377 aBeta = std::max(aBeta,aMajorantSurfacePar << 359 aBeta = GetMax(aBeta,aMajorantSurfaceParameterTable[k+1][level]);
378 } << 360 }
379 << 361
380 if(k == 0) 362 if(k == 0)
381 cBeta = std::max(cMajorantSurfaceParameter << 363 cBeta = GetMax(cMajorantSurfaceParameterTable[k][level],cMajorantSurfaceParameterTable[k+1][level]);
382 else if(k == indexMax) 364 else if(k == indexMax)
383 cBeta = std::max(cMajorantSurfaceParameter << 365 cBeta = GetMax(cMajorantSurfaceParameterTable[k-1][level],cMajorantSurfaceParameterTable[k][level]);
384 else{ 366 else{
385 cBeta = std::max(cMajorantSurfaceParameter << 367 cBeta = GetMax(cMajorantSurfaceParameterTable[k-1][level],cMajorantSurfaceParameterTable[k][level]);
386 cBeta = std::max(cBeta,cMajorantSurfacePar << 368 cBeta = GetMax(cBeta,cMajorantSurfaceParameterTable[k+1][level]);
387 } 369 }
388 370
389 *majorantSurfaceParameterA = aBeta; 371 *majorantSurfaceParameterA = aBeta;
390 *majorantSurfaceParameterC = cBeta; 372 *majorantSurfaceParameterC = cBeta;
>> 373
391 } 374 }
392 375
393 //....oooOO0OOooo........oooOO0OOooo........oo <<
394 376
395 G4ThreeVector G4PhotoElectricAngularGeneratorP << 377 //
>> 378 G4ThreeVector G4PhotoElectricAngularGeneratorPolarized::PhotoElectronComputeFinalDirection(const G4RotationMatrix& rotation, const G4double theta, const G4double phi) const
396 { 379 {
397 //computes the photoelectron momentum unitar << 380
398 G4double sint = std::sin(theta); << 381 //computes the photoelectron momentum unitary vector
399 G4double px = std::cos(phi)*sint; << 382 G4double px = std::cos(phi)*std::sin(theta);
400 G4double py = std::sin(phi)*sint; << 383 G4double py = std::sin(phi)*std::sin(theta);
401 G4double pz = std::cos(theta); 384 G4double pz = std::cos(theta);
402 385
403 G4ThreeVector samplingDirection(px,py,pz); 386 G4ThreeVector samplingDirection(px,py,pz);
404 387
405 G4ThreeVector outgoingDirection = rotation*s 388 G4ThreeVector outgoingDirection = rotation*samplingDirection;
406 return outgoingDirection; 389 return outgoingDirection;
407 } 390 }
408 391
409 //....oooOO0OOooo........oooOO0OOooo........oo << 392 //
410 393
411 void G4PhotoElectricAngularGeneratorPolarized: 394 void G4PhotoElectricAngularGeneratorPolarized::PrintGeneratorInformation() const
412 { 395 {
413 G4cout << "\n" << G4endl; 396 G4cout << "\n" << G4endl;
414 G4cout << "Polarized Photoelectric Angular G 397 G4cout << "Polarized Photoelectric Angular Generator" << G4endl;
415 G4cout << "PhotoElectric Electron Angular Ge 398 G4cout << "PhotoElectric Electron Angular Generator based on the general Gavrila photoelectron angular distribution" << G4endl;
416 G4cout << "Includes polarization effects for 399 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 400 G4cout << "For higher shells the L1 cross-section is used." << G4endl;
418 G4cout << "(see Physics Reference Manual) \n 401 G4cout << "(see Physics Reference Manual) \n" << G4endl;
419 } << 402 }
420 <<
421 //....oooOO0OOooo........oooOO0OOooo........oo <<
422 403
423 G4ThreeVector << 404 G4ThreeVector G4PhotoElectricAngularGeneratorPolarized::SetPerpendicularVector(const G4ThreeVector& a) const
424 G4PhotoElectricAngularGeneratorPolarized::Perp <<
425 const G4ThreeVector& a) const <<
426 { 405 {
427 G4double dx = a.x(); 406 G4double dx = a.x();
428 G4double dy = a.y(); 407 G4double dy = a.y();
429 G4double dz = a.z(); 408 G4double dz = a.z();
430 G4double x = dx < 0.0 ? -dx : dx; 409 G4double x = dx < 0.0 ? -dx : dx;
431 G4double y = dy < 0.0 ? -dy : dy; 410 G4double y = dy < 0.0 ? -dy : dy;
432 G4double z = dz < 0.0 ? -dz : dz; 411 G4double z = dz < 0.0 ? -dz : dz;
433 if (x < y) { 412 if (x < y) {
434 return x < z ? G4ThreeVector(-dy,dx,0) : G 413 return x < z ? G4ThreeVector(-dy,dx,0) : G4ThreeVector(0,-dz,dy);
435 }else{ 414 }else{
436 return y < z ? G4ThreeVector(dz,0,-dx) : G 415 return y < z ? G4ThreeVector(dz,0,-dx) : G4ThreeVector(-dy,dx,0);
437 } 416 }
438 } 417 }
439 418