| Geant4 Cross Reference |
1 // 1 //
2 // ******************************************* 2 // ********************************************************************
3 // * License and Disclaimer 3 // * License and Disclaimer *
4 // * 4 // * *
5 // * The Geant4 software is copyright of th 5 // * The Geant4 software is copyright of the Copyright Holders of *
6 // * the Geant4 Collaboration. It is provided 6 // * the Geant4 Collaboration. It is provided under the terms and *
7 // * conditions of the Geant4 Software License 7 // * conditions of the Geant4 Software License, included in the file *
8 // * LICENSE and available at http://cern.ch/ 8 // * LICENSE and available at http://cern.ch/geant4/license . These *
9 // * include a list of copyright holders. 9 // * include a list of copyright holders. *
10 // * 10 // * *
11 // * Neither the authors of this software syst 11 // * Neither the authors of this software system, nor their employing *
12 // * institutes,nor the agencies providing fin 12 // * institutes,nor the agencies providing financial support for this *
13 // * work make any representation or warran 13 // * work make any representation or warranty, express or implied, *
14 // * regarding this software system or assum 14 // * regarding this software system or assume any liability for its *
15 // * use. Please see the license in the file 15 // * use. Please see the license in the file LICENSE and URL above *
16 // * for the full disclaimer and the limitatio 16 // * for the full disclaimer and the limitation of liability. *
17 // * 17 // * *
18 // * This code implementation is the result 18 // * This code implementation is the result of the scientific and *
19 // * technical work of the GEANT4 collaboratio 19 // * technical work of the GEANT4 collaboration. *
20 // * By using, copying, modifying or distri 20 // * By using, copying, modifying or distributing the software (or *
21 // * any work based on the software) you ag 21 // * any work based on the software) you agree to acknowledge its *
22 // * use in resulting scientific publicati 22 // * use in resulting scientific publications, and indicate your *
23 // * acceptance of all terms of the Geant4 Sof 23 // * acceptance of all terms of the Geant4 Software license. *
24 // ******************************************* 24 // ********************************************************************
25 25
26 #include "G4DNAUeharaScreenedRutherfordElastic 26 #include "G4DNAUeharaScreenedRutherfordElasticModel.hh"
27 #include "G4PhysicalConstants.hh" 27 #include "G4PhysicalConstants.hh"
28 #include "G4SystemOfUnits.hh" 28 #include "G4SystemOfUnits.hh"
29 #include "G4DNAMolecularMaterial.hh" 29 #include "G4DNAMolecularMaterial.hh"
30 #include "G4Exp.hh" 30 #include "G4Exp.hh"
31 31
32 //....oooOO0OOooo........oooOO0OOooo........oo 32 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
33 33
34 using namespace std; 34 using namespace std;
35 35
36 // #define UEHARA_VERBOSE 36 // #define UEHARA_VERBOSE
37 37
38 //....oooOO0OOooo........oooOO0OOooo........oo 38 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
39 39
40 G4DNAUeharaScreenedRutherfordElasticModel:: 40 G4DNAUeharaScreenedRutherfordElasticModel::
41 G4DNAUeharaScreenedRutherfordElasticModel(cons 41 G4DNAUeharaScreenedRutherfordElasticModel(const G4ParticleDefinition*,
42 cons << 42 const G4String& nam) :
>> 43 G4VEmModel(nam), isInitialised(false)
43 { 44 {
44 // Energy limits of the models << 45 fpWaterDensity = 0;
45 intermediateEnergyLimit = 200. * eV; << 46 intermediateEnergyLimit = 200. * eV; // Switch between two final state models
46 iLowEnergyLimit = 9.*eV; << 47
47 iHighEnergyLimit = 1.*MeV; << 48 SetLowEnergyLimit(9.*eV);
>> 49 // SetHighEnergyLimit(10.*keV);
>> 50 SetHighEnergyLimit(1.*MeV);
48 51
49 verboseLevel = 0; 52 verboseLevel = 0;
50 // Verbosity scale: 53 // Verbosity scale:
51 // 0 = nothing 54 // 0 = nothing
52 // 1 = warning for energy non-conservation 55 // 1 = warning for energy non-conservation
53 // 2 = details of energy budget 56 // 2 = details of energy budget
54 // 3 = calculation of cross sections, file o 57 // 3 = calculation of cross sections, file openings, sampling of atoms
55 // 4 = entering in methods 58 // 4 = entering in methods
>> 59
>> 60 #ifdef UEHARA_VERBOSE
>> 61 if (verboseLevel)
>> 62 {
>> 63 G4cout << "Screened Rutherford Elastic model is constructed " << G4endl
>> 64 << "Energy range: "
>> 65 << LowEnergyLimit() / eV << " eV - "
>> 66 << HighEnergyLimit() / MeV << " MeV"
>> 67 << G4endl;
>> 68 }
>> 69 #endif
56 70
>> 71 fParticleChangeForGamma = 0;
>> 72
>> 73 // Selection of computation method
>> 74 // We do not recommend "true" usage with the current cumul. proba. settings
57 fasterCode = false; 75 fasterCode = false;
58 } 76 }
59 77
60 //....oooOO0OOooo........oooOO0OOooo........oo 78 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
61 79
>> 80 G4DNAUeharaScreenedRutherfordElasticModel::
>> 81 ~G4DNAUeharaScreenedRutherfordElasticModel()
>> 82 {
>> 83 }
>> 84
>> 85 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
>> 86
62 void 87 void
63 G4DNAUeharaScreenedRutherfordElasticModel:: 88 G4DNAUeharaScreenedRutherfordElasticModel::
64 Initialise(const G4ParticleDefinition* particl 89 Initialise(const G4ParticleDefinition* particle,
65 const G4DataVector& /*cuts*/) 90 const G4DataVector& /*cuts*/)
66 { 91 {
67 if(isInitialised) { return; } << 92 #ifdef UEHARA_VERBOSE
68 if (verboseLevel > 3) 93 if (verboseLevel > 3)
69 { 94 {
>> 95 G4cout << "Calling G4DNAUeharaScreenedRutherfordElasticModel::Initialise()"
>> 96 << G4endl;
70 } 97 }
>> 98 #endif
71 99
72 if(particle->GetParticleName() != "e-") 100 if(particle->GetParticleName() != "e-")
73 { 101 {
74 G4Exception("*** WARNING: the G4DNAUeharaS 102 G4Exception("*** WARNING: the G4DNAUeharaScreenedRutherfordElasticModel is "
75 "not intented to be used with 103 "not intented to be used with another particle than the electron",
76 "",FatalException,"") ; 104 "",FatalException,"") ;
77 } 105 }
78 106
>> 107 // Energy limits
>> 108 if(LowEnergyLimit() < 9.*CLHEP::eV)
>> 109 {
>> 110 G4Exception("*** WARNING : the G4DNAUeharaScreenedRutherfordElasticModel "
>> 111 "class is not validated below 9 eV",
>> 112 "",JustWarning,"") ;
>> 113 }
>> 114
>> 115 if (HighEnergyLimit() > 10.*CLHEP::keV)
>> 116 {
>> 117 G4Exception("*** WARNING: the G4DNAUeharaScreenedRutherfordElasticModel "
>> 118 "class is used above 10 keV",
>> 119 "",JustWarning,"") ;
>> 120 }
79 121
80 if( verboseLevel>1 ) << 122 #ifdef UEHARA_VERBOSE
>> 123 if( verboseLevel>0 )
81 { 124 {
82 G4cout << "G4DNAUeharaScreenedRutherfordEl << 125 G4cout << "Screened Rutherford elastic model is initialized " << G4endl
83 << G4endl; << 126 << "Energy range: "
84 G4cout << "Energy range: " << 127 << LowEnergyLimit() / eV << " eV - "
85 << LowEnergyLimit() / eV << " eV - " << 128 << HighEnergyLimit() / MeV << " MeV"
86 << HighEnergyLimit() / MeV << " MeV" << 129 << G4endl;
87 << G4endl; <<
88 } 130 }
>> 131 #endif
>> 132
>> 133 if (isInitialised){ return; }
>> 134
89 // Constants for final state by Brenner & Za 135 // Constants for final state by Brenner & Zaider
90 // Note: the instantiation must be placed af 136 // Note: the instantiation must be placed after if (isInitialised)
91 137
92 betaCoeff= 138 betaCoeff=
93 { 139 {
94 7.51525, 140 7.51525,
95 -0.41912, 141 -0.41912,
96 7.2017E-3, 142 7.2017E-3,
97 -4.646E-5, 143 -4.646E-5,
98 1.02897E-7}; 144 1.02897E-7};
99 145
100 deltaCoeff= 146 deltaCoeff=
101 { 147 {
102 2.9612, 148 2.9612,
103 -0.26376, 149 -0.26376,
104 4.307E-3, 150 4.307E-3,
105 -2.6895E-5, 151 -2.6895E-5,
106 5.83505E-8}; 152 5.83505E-8};
107 153
108 gamma035_10Coeff= 154 gamma035_10Coeff=
109 { 155 {
110 -1.7013, 156 -1.7013,
111 -1.48284, 157 -1.48284,
112 0.6331, 158 0.6331,
113 -0.10911, 159 -0.10911,
114 8.358E-3, 160 8.358E-3,
115 -2.388E-4}; 161 -2.388E-4};
116 162
117 gamma10_100Coeff = 163 gamma10_100Coeff =
118 { 164 {
119 -3.32517, 165 -3.32517,
120 0.10996, 166 0.10996,
121 -4.5255E-3, 167 -4.5255E-3,
122 5.8372E-5, 168 5.8372E-5,
123 -2.4659E-7}; 169 -2.4659E-7};
124 170
125 gamma100_200Coeff= 171 gamma100_200Coeff=
126 { 172 {
127 2.4775E-2, 173 2.4775E-2,
128 -2.96264E-5, 174 -2.96264E-5,
129 -1.20655E-7}; 175 -1.20655E-7};
130 176
131 // Initialize water density pointer 177 // Initialize water density pointer
132 fpWaterDensity = 178 fpWaterDensity =
133 G4DNAMolecularMaterial::Instance()-> 179 G4DNAMolecularMaterial::Instance()->
134 GetNumMolPerVolTableFor(G4Material::GetMat 180 GetNumMolPerVolTableFor(G4Material::GetMaterial("G4_WATER"));
135 181
136 fParticleChangeForGamma = GetParticleChangeF 182 fParticleChangeForGamma = GetParticleChangeForGamma();
137 isInitialised = true; 183 isInitialised = true;
138 } 184 }
139 185
140 //....oooOO0OOooo........oooOO0OOooo........oo 186 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
141 187
142 G4double 188 G4double
143 G4DNAUeharaScreenedRutherfordElasticModel:: 189 G4DNAUeharaScreenedRutherfordElasticModel::
144 CrossSectionPerVolume(const G4Material* materi 190 CrossSectionPerVolume(const G4Material* material,
145 const G4ParticleDefiniti 191 const G4ParticleDefinition* /*particleDefinition*/,
146 G4double ekin, 192 G4double ekin,
147 G4double, 193 G4double,
148 G4double) 194 G4double)
149 { 195 {
150 #ifdef UEHARA_VERBOSE 196 #ifdef UEHARA_VERBOSE
151 if (verboseLevel > 3) 197 if (verboseLevel > 3)
152 { 198 {
153 G4cout 199 G4cout
154 << "Calling CrossSectionPerVolume() of G4D 200 << "Calling CrossSectionPerVolume() of G4DNAUeharaScreenedRutherfordElasticModel"
155 << G4endl; 201 << G4endl;
156 } 202 }
157 #endif 203 #endif
158 204
159 // Calculate total cross section for model 205 // Calculate total cross section for model
160 206
161 G4double sigma = 0.; 207 G4double sigma = 0.;
162 if(ekin < iLowEnergyLimit || ekin > iHighEne <<
163 <<
164 G4double waterDensity = (*fpWaterDensity)[ma 208 G4double waterDensity = (*fpWaterDensity)[material->GetIndex()];
165 209
166 G4double z = 7.42; // FROM PMB 37 (1992) 184 << 210 // Use activation boundaries instead
167 G4double n = ScreeningFactor(ekin,z); << 211 //if(ekin > HighEnergyLimit() || ekin < LowEnergyLimit()) return 0.;
168 G4double crossSection = RutherfordCrossSecti << 212
169 sigma = pi * crossSection / (n * (n + 1.)); << 213 if(waterDensity!= 0.0)
>> 214 {
>> 215 G4double z = 7.42; // FROM PMB 37 (1992) 1841-1858 p1842
>> 216 G4double n = ScreeningFactor(ekin,z);
>> 217 G4double crossSection = RutherfordCrossSection(ekin, z);
>> 218 sigma = pi * crossSection / (n * (n + 1.));
170 219
171 #ifdef UEHARA_VERBOSE 220 #ifdef UEHARA_VERBOSE
172 if (verboseLevel > 2) << 221 if (verboseLevel > 2)
173 { << 222 {
174 G4cout << "_______________________________ << 223 G4cout << "__________________________________" << G4endl;
175 G4cout << "=== G4DNAUeharaScreenedRutherfo << 224 G4cout << "=== G4DNAUeharaScreenedRutherfordElasticModel - XS INFO START"
176 << G4endl; << 225 << G4endl;
177 G4cout << "=== Kinetic energy(eV)=" << eki << 226 G4cout << "=== Kinetic energy(eV)=" << ekin/eV
178 << " particle : " << particleDefini << 227 << " particle : " << particleDefinition->GetParticleName() << G4endl;
179 G4cout << "=== Cross section per water mol << 228 G4cout << "=== Cross section per water molecule (cm^2)=" << sigma/cm/cm
180 << G4endl; << 229 << G4endl;
181 G4cout << "=== Cross section per water mol << 230 G4cout << "=== Cross section per water molecule (cm^-1)="
182 << sigma*waterDensity/(1./cm) << G4 << 231 << sigma*waterDensity/(1./cm) << G4endl;
183 G4cout << "=== G4DNAUeharaScreenedRutherfo << 232 G4cout << "=== G4DNAUeharaScreenedRutherfordElasticModel - XS INFO END"
184 << G4endl; << 233 << G4endl;
185 } << 234 }
186 #endif 235 #endif
>> 236 }
187 237
188 return sigma*waterDensity; 238 return sigma*waterDensity;
189 } 239 }
190 240
191 //....oooOO0OOooo........oooOO0OOooo........oo 241 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
192 242
193 G4double 243 G4double
194 G4DNAUeharaScreenedRutherfordElasticModel::Rut 244 G4DNAUeharaScreenedRutherfordElasticModel::RutherfordCrossSection(G4double k,
195 245 G4double z)
196 { 246 {
197 // 247 //
198 // e^4 248 // e^4 / K + m_e c^2 \^2
199 // sigma_Ruth(K) = Z (Z+1) ----------------- 249 // sigma_Ruth(K) = Z (Z+1) -------------------- | --------------------- |
200 // (4 pi epsilon_0) 250 // (4 pi epsilon_0)^2 \ K * (K + 2 m_e c^2) /
201 // 251 //
202 // Where K is the electron non-relativistic 252 // Where K is the electron non-relativistic kinetic energy
203 // 253 //
204 // NIM 155, pp. 145-156, 1978 254 // NIM 155, pp. 145-156, 1978
205 255
206 G4double length = (e_squared * (k + electron 256 G4double length = (e_squared * (k + electron_mass_c2))
207 / (4 * pi * epsilon0 * k * (k + 2 * elec 257 / (4 * pi * epsilon0 * k * (k + 2 * electron_mass_c2));
208 G4double cross = z * (z + 1) * length * leng 258 G4double cross = z * (z + 1) * length * length;
209 259
210 return cross; 260 return cross;
211 } 261 }
212 262
213 //....oooOO0OOooo........oooOO0OOooo........oo 263 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
214 264
215 G4double G4DNAUeharaScreenedRutherfordElasticM 265 G4double G4DNAUeharaScreenedRutherfordElasticModel::ScreeningFactor(G4double k,
216 266 G4double z)
217 { 267 {
218 // From Phys Med Biol 37 (1992) 1841-1858 268 // From Phys Med Biol 37 (1992) 1841-1858
219 // Z=7.42 for water 269 // Z=7.42 for water
220 270
221 const G4double constK(1.7E-5); 271 const G4double constK(1.7E-5);
222 272
223 G4double beta2; 273 G4double beta2;
224 beta2 = 1. - 1. / ((1. + k / electron_mass_c 274 beta2 = 1. - 1. / ((1. + k / electron_mass_c2) * (1. + k / electron_mass_c2));
225 275
226 G4double etaC; 276 G4double etaC;
227 if (k < 50 * keV) 277 if (k < 50 * keV)
228 etaC = 1.198; 278 etaC = 1.198;
229 else 279 else
230 etaC = 1.13 + 3.76 * (z * z / (137 * 137 * 280 etaC = 1.13 + 3.76 * (z * z / (137 * 137 * beta2));
231 281
232 G4double numerator = etaC * constK * std::po 282 G4double numerator = etaC * constK * std::pow(z, 2. / 3.);
233 283
234 k /= electron_mass_c2; 284 k /= electron_mass_c2;
235 285
236 G4double denominator = k * (2 + k); 286 G4double denominator = k * (2 + k);
237 287
238 G4double value = 0.; 288 G4double value = 0.;
239 if (denominator > 0.) 289 if (denominator > 0.)
240 value = numerator / denominator; // form 3 290 value = numerator / denominator; // form 3
241 291
242 return value; 292 return value;
243 } 293 }
244 294
245 //....oooOO0OOooo........oooOO0OOooo........oo 295 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
246 296
247 void 297 void
248 G4DNAUeharaScreenedRutherfordElasticModel:: 298 G4DNAUeharaScreenedRutherfordElasticModel::
249 SampleSecondaries(std::vector<G4DynamicParticl 299 SampleSecondaries(std::vector<G4DynamicParticle*>* /*fvect*/,
250 const G4MaterialCutsCouple* 300 const G4MaterialCutsCouple* /*couple*/,
251 const G4DynamicParticle* aDy 301 const G4DynamicParticle* aDynamicElectron,
252 G4double, 302 G4double,
253 G4double) 303 G4double)
254 { 304 {
255 #ifdef UEHARA_VERBOSE 305 #ifdef UEHARA_VERBOSE
256 if (verboseLevel > 3) 306 if (verboseLevel > 3)
257 { 307 {
258 G4cout 308 G4cout
259 << "Calling SampleSecondaries() of G4D 309 << "Calling SampleSecondaries() of G4DNAUeharaScreenedRutherfordElasticModel"
260 << G4endl; 310 << G4endl;
261 } 311 }
262 #endif 312 #endif
263 313
264 G4double electronEnergy0 = aDynamicElectron- 314 G4double electronEnergy0 = aDynamicElectron->GetKineticEnergy();
265 if(electronEnergy0 < iLowEnergyLimit || elec <<
266 return; <<
267 315
268 G4double cosTheta = 0.; 316 G4double cosTheta = 0.;
269 317
270 if (electronEnergy0<intermediateEnergyLimit) 318 if (electronEnergy0<intermediateEnergyLimit)
271 { 319 {
272 #ifdef UEHARA_VERBOSE 320 #ifdef UEHARA_VERBOSE
273 if (verboseLevel > 3) 321 if (verboseLevel > 3)
274 G4cout << "---> Using Brenner & Zaider m 322 G4cout << "---> Using Brenner & Zaider model" << G4endl;
275 #endif 323 #endif
276 cosTheta = BrennerZaiderRandomizeCosTheta( 324 cosTheta = BrennerZaiderRandomizeCosTheta(electronEnergy0);
277 } 325 }
278 else //if (electronEnergy0>=intermediateEner 326 else //if (electronEnergy0>=intermediateEnergyLimit)
279 { 327 {
280 #ifdef UEHARA_VERBOSE 328 #ifdef UEHARA_VERBOSE
281 if (verboseLevel > 3) 329 if (verboseLevel > 3)
282 G4cout << "---> Using Screened Rutherfor 330 G4cout << "---> Using Screened Rutherford model" << G4endl;
283 #endif 331 #endif
284 G4double z = 7.42; // FROM PMB 37 (1992) 332 G4double z = 7.42; // FROM PMB 37 (1992) 1841-1858 p1842
285 cosTheta = ScreenedRutherfordRandomizeCosT 333 cosTheta = ScreenedRutherfordRandomizeCosTheta(electronEnergy0,z);
286 } 334 }
287 335
288 G4double phi = 2. * pi * G4UniformRand(); 336 G4double phi = 2. * pi * G4UniformRand();
289 337
290 G4ThreeVector zVers = aDynamicElectron->GetM 338 G4ThreeVector zVers = aDynamicElectron->GetMomentumDirection();
291 G4ThreeVector xVers = zVers.orthogonal(); 339 G4ThreeVector xVers = zVers.orthogonal();
292 G4ThreeVector yVers = zVers.cross(xVers); 340 G4ThreeVector yVers = zVers.cross(xVers);
293 341
294 G4double xDir = std::sqrt(1. - cosTheta*cosT 342 G4double xDir = std::sqrt(1. - cosTheta*cosTheta);
295 G4double yDir = xDir; 343 G4double yDir = xDir;
296 xDir *= std::cos(phi); 344 xDir *= std::cos(phi);
297 yDir *= std::sin(phi); 345 yDir *= std::sin(phi);
298 346
299 G4ThreeVector zPrimeVers((xDir*xVers + yDir* 347 G4ThreeVector zPrimeVers((xDir*xVers + yDir*yVers + cosTheta*zVers));
300 348
301 fParticleChangeForGamma->ProposeMomentumDire 349 fParticleChangeForGamma->ProposeMomentumDirection(zPrimeVers.unit());
302 350
303 fParticleChangeForGamma->SetProposedKineticE 351 fParticleChangeForGamma->SetProposedKineticEnergy(electronEnergy0);
304 } 352 }
305 353
306 //....oooOO0OOooo........oooOO0OOooo........oo 354 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
307 355
308 G4double 356 G4double
309 G4DNAUeharaScreenedRutherfordElasticModel:: 357 G4DNAUeharaScreenedRutherfordElasticModel::
310 BrennerZaiderRandomizeCosTheta(G4double k) 358 BrennerZaiderRandomizeCosTheta(G4double k)
311 { 359 {
312 // d sigma_el 1 360 // d sigma_el 1 beta(K)
313 // ------------ (K) ~ ---------------------- 361 // ------------ (K) ~ --------------------------------- + ---------------------------------
314 // d Omega (1 + 2 gamma(K) - cos 362 // d Omega (1 + 2 gamma(K) - cos(theta))^2 (1 + 2 delta(K) + cos(theta))^2
315 // 363 //
316 // Maximum is < 1/(4 gamma(K)^2) + beta(K)/( 364 // Maximum is < 1/(4 gamma(K)^2) + beta(K)/((2+2delta(K))^2)
317 // 365 //
318 // Phys. Med. Biol. 29 N.4 (1983) 443-447 366 // Phys. Med. Biol. 29 N.4 (1983) 443-447
319 367
320 // gamma(K), beta(K) and delta(K) are polyno 368 // gamma(K), beta(K) and delta(K) are polynomials with coefficients for energy measured in eV
321 369
322 k /= eV; 370 k /= eV;
323 371
324 G4double beta = G4Exp(CalculatePolynomial(k, 372 G4double beta = G4Exp(CalculatePolynomial(k, betaCoeff));
325 G4double delta = G4Exp(CalculatePolynomial(k 373 G4double delta = G4Exp(CalculatePolynomial(k, deltaCoeff));
326 G4double gamma; 374 G4double gamma;
327 375
328 if (k > 100.) 376 if (k > 100.)
329 { 377 {
330 gamma = CalculatePolynomial(k, gamma100_20 378 gamma = CalculatePolynomial(k, gamma100_200Coeff);
331 // Only in this case it is not the exponen 379 // Only in this case it is not the exponent of the polynomial
332 } else 380 } else
333 { 381 {
334 if (k > 10) 382 if (k > 10)
335 { 383 {
336 gamma = G4Exp(CalculatePolynomial(k, gam 384 gamma = G4Exp(CalculatePolynomial(k, gamma10_100Coeff));
337 } 385 }
338 else 386 else
339 { 387 {
340 gamma = G4Exp(CalculatePolynomial(k, gam 388 gamma = G4Exp(CalculatePolynomial(k, gamma035_10Coeff));
341 } 389 }
342 } 390 }
343 391
344 // ***** Original method 392 // ***** Original method
345 393
346 if (!fasterCode) << 394 if (fasterCode == false)
347 { 395 {
348 G4double oneOverMax = 1. 396 G4double oneOverMax = 1.
349 / (1. / (4. * gamma * gamma) 397 / (1. / (4. * gamma * gamma)
350 + beta / ((2. + 2. * delta) * (2. + 2. 398 + beta / ((2. + 2. * delta) * (2. + 2. * delta)));
351 399
352 G4double cosTheta = 0.; 400 G4double cosTheta = 0.;
353 G4double leftDenominator = 0.; 401 G4double leftDenominator = 0.;
354 G4double rightDenominator = 0.; 402 G4double rightDenominator = 0.;
355 G4double fCosTheta = 0.; 403 G4double fCosTheta = 0.;
356 404
357 do 405 do
358 { 406 {
359 cosTheta = 2. * G4UniformRand()- 1.; 407 cosTheta = 2. * G4UniformRand()- 1.;
360 408
361 leftDenominator = (1. + 2.*gamma - cosTh 409 leftDenominator = (1. + 2.*gamma - cosTheta);
362 rightDenominator = (1. + 2.*delta + cosT 410 rightDenominator = (1. + 2.*delta + cosTheta);
363 if ( (leftDenominator * rightDenominator 411 if ( (leftDenominator * rightDenominator) != 0. )
364 { 412 {
365 fCosTheta = oneOverMax * (1./(leftDeno 413 fCosTheta = oneOverMax * (1./(leftDenominator*leftDenominator)
366 + beta/(righ 414 + beta/(rightDenominator*rightDenominator));
367 } 415 }
368 } 416 }
369 while (fCosTheta < G4UniformRand()); 417 while (fCosTheta < G4UniformRand());
370 418
371 return cosTheta; 419 return cosTheta;
372 } 420 }
373 421
374 // ***** Alternative method using cumulative 422 // ***** Alternative method using cumulative probability
375 423
376 // if (fasterCode) << 424 else // if (fasterCode)
377 << 425 {
>> 426
378 // 427 //
379 // modified by Shogo OKADA @ KEK, JP, 2016. 428 // modified by Shogo OKADA @ KEK, JP, 2016.2.27(Sat.)
380 // 429 //
381 // An integral of differential cross-sectio 430 // An integral of differential cross-section formula shown above this member function
382 // (integral variable: cos(theta), integral 431 // (integral variable: cos(theta), integral interval: [-1, x]) is as follows:
383 // 432 //
384 // 1.0 + x beta * ( 433 // 1.0 + x beta * (1 + x)
385 // I = --------------------- + ------------ 434 // I = --------------------- + ---------------------- (1)
386 // (a - x) * (a + 1.0) (b + x) * 435 // (a - x) * (a + 1.0) (b + x) * (b - 1.0)
387 // 436 //
388 // where a = 1.0 + 2.0 * gamma(K), b = 1.0 437 // where a = 1.0 + 2.0 * gamma(K), b = 1.0 + 2.0 * delta(K)
389 // 438 //
390 // Then, a cumulative probability (cp) is a 439 // Then, a cumulative probability (cp) is as follows:
391 // 440 //
392 // cp 1.0 + x beta * 441 // cp 1.0 + x beta * (1 + x)
393 // ---- = --------------------- + --------- 442 // ---- = --------------------- + ---------------------- (2)
394 // S (a - x) * (a + 1.0) (b + x) 443 // S (a - x) * (a + 1.0) (b + x) * (b - 1.0)
395 // 444 //
396 // where 1/S is the integral of differnetic 445 // where 1/S is the integral of differnetical cross-section (1) on interval [-1, 1]
397 // 446 //
398 // 1 2.0 2. 447 // 1 2.0 2.0 * beta
399 // --- = ----------------------- + ------- 448 // --- = ----------------------- + ----------------------- (3)
400 // S (a - 1.0) * (a + 1.0) (b + 1 449 // S (a - 1.0) * (a + 1.0) (b + 1.0) * (b - 1.0)
401 // 450 //
402 // x is calculated from the quadratic equat 451 // x is calculated from the quadratic equation derived from (2) and (3):
403 // 452 //
404 // A * x^2 + B * x + C = 0 453 // A * x^2 + B * x + C = 0
405 // 454 //
406 // where A, B, anc C are coefficients of th 455 // where A, B, anc C are coefficients of the equation:
407 // A = S * {(b - 1.0) - beta * (a + 1.0)} 456 // A = S * {(b - 1.0) - beta * (a + 1.0)} + cp * (a + 1.0) * (b - 1.0),
408 // B = S * {(b - 1.0) * (b + 1.0) + beta * 457 // B = S * {(b - 1.0) * (b + 1.0) + beta * (a - 1.0) * (a + 1.0)} - cp * (a + 1.0) * (b - 1.0) * (a - b)
409 // C = S * {b * (b - 1.0) + beta * a * (a 458 // C = S * {b * (b - 1.0) + beta * a * (a + 1.0)} - cp * (a + 1.0) * (b - 1.0) * ab
410 // 459 //
411 460
412 // sampling cumulative probability 461 // sampling cumulative probability
413 G4double cp = G4UniformRand(); 462 G4double cp = G4UniformRand();
414 463
415 G4double a = 1.0 + 2.0 * gamma; 464 G4double a = 1.0 + 2.0 * gamma;
416 G4double b = 1.0 + 2.0 * delta; 465 G4double b = 1.0 + 2.0 * delta;
417 G4double a1 = a - 1.0; 466 G4double a1 = a - 1.0;
418 G4double a2 = a + 1.0; 467 G4double a2 = a + 1.0;
419 G4double b1 = b - 1.0; 468 G4double b1 = b - 1.0;
420 G4double b2 = b + 1.0; 469 G4double b2 = b + 1.0;
421 G4double c1 = a - b; 470 G4double c1 = a - b;
422 G4double c2 = a * b; 471 G4double c2 = a * b;
423 472
424 G4double S = 2.0 / (a1 * a2) + 2.0 * beta / 473 G4double S = 2.0 / (a1 * a2) + 2.0 * beta / (b1 * b2); S = 1.0 / S;
425 474
426 // coefficients for the quadratic equation 475 // coefficients for the quadratic equation
427 G4double A = S * (b1 - beta * a2) + cp * a2 476 G4double A = S * (b1 - beta * a2) + cp * a2 * b1;
428 G4double B = S * (b1 * b2 + beta * a1 * a2) 477 G4double B = S * (b1 * b2 + beta * a1 * a2) - cp * a2 * b1 * c1;
429 G4double C = S * (b * b1 + beta * a * a2) - 478 G4double C = S * (b * b1 + beta * a * a2) - cp * a2 * b1 * c2;
430 479
431 // calculate cos(theta) 480 // calculate cos(theta)
432 return (-1.0 * B + std::sqrt(B * B - 4.0 * 481 return (-1.0 * B + std::sqrt(B * B - 4.0 * A * C)) / (2.0 * A);
433 482
434 /* 483 /*
435 G4double cosTheta = -1; 484 G4double cosTheta = -1;
436 G4double cumul = 0; 485 G4double cumul = 0;
437 G4double value = 0; 486 G4double value = 0;
438 G4double leftDenominator = 0.; 487 G4double leftDenominator = 0.;
439 G4double rightDenominator = 0.; 488 G4double rightDenominator = 0.;
440 489
441 // Number of integration steps in the -1,1 490 // Number of integration steps in the -1,1 range
442 G4int iMax=200; 491 G4int iMax=200;
443 492
444 G4double random = G4UniformRand(); 493 G4double random = G4UniformRand();
445 494
446 // Cumulate differential cross section 495 // Cumulate differential cross section
447 for (G4int i=0; i<iMax; i++) 496 for (G4int i=0; i<iMax; i++)
448 { 497 {
449 cosTheta = -1 + i*2./(iMax-1); 498 cosTheta = -1 + i*2./(iMax-1);
450 leftDenominator = (1. + 2.*gamma - cosTheta 499 leftDenominator = (1. + 2.*gamma - cosTheta);
451 rightDenominator = (1. + 2.*delta + cosThet 500 rightDenominator = (1. + 2.*delta + cosTheta);
452 if ( (leftDenominator * rightDenominator) ! 501 if ( (leftDenominator * rightDenominator) != 0. )
453 { 502 {
454 cumul = cumul + (1./(leftDenominator*leftDe 503 cumul = cumul + (1./(leftDenominator*leftDenominator) + beta/(rightDenominator*rightDenominator));
455 } 504 }
456 } 505 }
457 506
458 // Select cosTheta 507 // Select cosTheta
459 for (G4int i=0; i<iMax; i++) 508 for (G4int i=0; i<iMax; i++)
460 { 509 {
461 cosTheta = -1 + i*2./(iMax-1); 510 cosTheta = -1 + i*2./(iMax-1);
462 leftDenominator = (1. + 2.*gamma - cosTheta 511 leftDenominator = (1. + 2.*gamma - cosTheta);
463 rightDenominator = (1. + 2.*delta + cosThet 512 rightDenominator = (1. + 2.*delta + cosTheta);
464 if (cumul !=0 && (leftDenominator * rightDe 513 if (cumul !=0 && (leftDenominator * rightDenominator) != 0.)
465 value = value + (1./(leftDenominator*leftDe 514 value = value + (1./(leftDenominator*leftDenominator) + beta/(rightDenominator*rightDenominator)) / cumul;
466 if (random < value) break; 515 if (random < value) break;
467 } 516 }
468 517
469 return cosTheta; 518 return cosTheta;
470 */ 519 */
>> 520 }
471 521
472 << 522 return 0.;
473 //return 0.; <<
474 523
475 } 524 }
476 525
477 //....oooOO0OOooo........oooOO0OOooo........oo 526 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
478 527
479 G4double 528 G4double
480 G4DNAUeharaScreenedRutherfordElasticModel:: 529 G4DNAUeharaScreenedRutherfordElasticModel::
481 CalculatePolynomial(G4double k, 530 CalculatePolynomial(G4double k,
482 std::vector<G4double>& vec 531 std::vector<G4double>& vec)
483 { 532 {
484 // Sum_{i=0}^{size-1} vector_i k^i 533 // Sum_{i=0}^{size-1} vector_i k^i
485 // 534 //
486 // Phys. Med. Biol. 29 N.4 (1983) 443-447 535 // Phys. Med. Biol. 29 N.4 (1983) 443-447
487 536
488 G4double result = 0.; 537 G4double result = 0.;
489 size_t size = vec.size(); 538 size_t size = vec.size();
490 539
491 while (size > 0) 540 while (size > 0)
492 { 541 {
493 size--; 542 size--;
494 543
495 result *= k; 544 result *= k;
496 result += vec[size]; 545 result += vec[size];
497 } 546 }
498 547
499 return result; 548 return result;
500 } 549 }
501 550
502 //....oooOO0OOooo........oooOO0OOooo........oo 551 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo......
503 552
504 G4double 553 G4double
505 G4DNAUeharaScreenedRutherfordElasticModel:: 554 G4DNAUeharaScreenedRutherfordElasticModel::
506 ScreenedRutherfordRandomizeCosTheta(G4double k 555 ScreenedRutherfordRandomizeCosTheta(G4double k,
507 G4double z 556 G4double z)
508 { 557 {
509 558
510 // d sigma_el sigma_Ruth(K) 559 // d sigma_el sigma_Ruth(K)
511 // ------------ (K) ~ ---------------------- 560 // ------------ (K) ~ -----------------------------
512 // d Omega (1 + 2 n(K) - cos(the 561 // d Omega (1 + 2 n(K) - cos(theta))^2
513 // 562 //
514 // We extract cos(theta) distributed as (1 + 563 // We extract cos(theta) distributed as (1 + 2 n(K) - cos(theta))^-2
515 // 564 //
516 // Maximum is for theta=0: 1/(4 n(K)^2) (Whe 565 // Maximum is for theta=0: 1/(4 n(K)^2) (When n(K) is positive, that is always
517 // satisfied within the validity of the proc 566 // satisfied within the validity of the process)
518 // 567 //
519 // Phys. Med. Biol. 45 (2000) 3171-3194 568 // Phys. Med. Biol. 45 (2000) 3171-3194
520 569
521 // ***** Original method 570 // ***** Original method
522 571
523 if (!fasterCode) << 572 if (fasterCode == false)
524 { 573 {
525 G4double n = ScreeningFactor(k, z); 574 G4double n = ScreeningFactor(k, z);
526 575
527 G4double oneOverMax = (4. * n * n); 576 G4double oneOverMax = (4. * n * n);
528 577
529 G4double cosTheta = 0.; 578 G4double cosTheta = 0.;
530 G4double fCosTheta; 579 G4double fCosTheta;
531 580
532 do 581 do
533 { 582 {
534 cosTheta = 2. * G4UniformRand()- 1.; 583 cosTheta = 2. * G4UniformRand()- 1.;
535 fCosTheta = (1 + 2.*n - cosTheta); 584 fCosTheta = (1 + 2.*n - cosTheta);
536 if (fCosTheta !=0.) fCosTheta = oneOverM 585 if (fCosTheta !=0.) fCosTheta = oneOverMax / (fCosTheta*fCosTheta);
537 } 586 }
538 while (fCosTheta < G4UniformRand()); 587 while (fCosTheta < G4UniformRand());
539 588
540 return cosTheta; 589 return cosTheta;
541 } 590 }
542 591
543 // ***** Alternative method using cumulative 592 // ***** Alternative method using cumulative probability
544 // if (fasterCode) << 593 else // if (fasterCode)
545 << 594 {
546 // << 595
547 // modified by Shogo OKADA @ KEK, JP, 2016.2 << 596 //
548 // << 597 // modified by Shogo OKADA @ KEK, JP, 2016.2.27(Sat.)
549 // The cumulative probability (cp) is calcul << 598 //
550 // the differential cross-section fomula wit << 599 // The cumulative probability (cp) is calculated by integrating
551 // << 600 // the differential cross-section fomula with cos(theta):
552 // n(K) * (1.0 + cos(theta)) << 601 //
553 // cp = --------------------------------- << 602 // n(K) * (1.0 + cos(theta))
554 // 1.0 + 2.0 * n(K) - cos(theta) << 603 // cp = ---------------------------------
555 // << 604 // 1.0 + 2.0 * n(K) - cos(theta)
556 // Then, cos(theta) is as follows: << 605 //
557 // << 606 // Then, cos(theta) is as follows:
558 // cp * (1.0 + 2.0 * n(K)) - n << 607 //
559 // cos(theta) = ---------------------------- << 608 // cp * (1.0 + 2.0 * n(K)) - n(K)
560 // n(k) + cp << 609 // cos(theta) = --------------------------------
561 // << 610 // n(k) + cp
562 // where, K is kinetic energy, n(K) is scree << 611 //
563 // << 612 // where, K is kinetic energy, n(K) is screeing factor, and cp is cumulative probability
564 << 613 //
565 G4double n = ScreeningFactor(k, z); << 614
566 G4double cp = G4UniformRand(); << 615 G4double n = ScreeningFactor(k, z);
567 G4double numerator = cp * (1.0 + 2.0 * n) - << 616 G4double cp = G4UniformRand();
568 G4double denominator = n + cp; << 617 G4double numerator = cp * (1.0 + 2.0 * n) - n;
569 return numerator / denominator; << 618 G4double denominator = n + cp;
570 << 619 return numerator / denominator;
571 /* << 620
572 G4double cosTheta = -1; << 621 /*
573 G4double cumul = 0; << 622 G4double cosTheta = -1;
574 G4double value = 0; << 623 G4double cumul = 0;
575 G4double n = ScreeningFactor(k, z); << 624 G4double value = 0;
576 G4double fCosTheta; << 625 G4double n = ScreeningFactor(k, z);
577 << 626 G4double fCosTheta;
578 // Number of integration steps in the -1,1 << 627
579 G4int iMax=200; << 628 // Number of integration steps in the -1,1 range
580 << 629 G4int iMax=200;
581 G4double random = G4UniformRand(); << 630
582 << 631 G4double random = G4UniformRand();
583 // Cumulate differential cross section << 632
584 for (G4int i=0; i<iMax; i++) << 633 // Cumulate differential cross section
585 { << 634 for (G4int i=0; i<iMax; i++)
586 cosTheta = -1 + i*2./(iMax-1); << 635 {
587 fCosTheta = (1 + 2.*n - cosTheta); << 636 cosTheta = -1 + i*2./(iMax-1);
588 if (fCosTheta !=0.) cumul = cumul + 1./(fCo << 637 fCosTheta = (1 + 2.*n - cosTheta);
589 } << 638 if (fCosTheta !=0.) cumul = cumul + 1./(fCosTheta*fCosTheta);
590 << 639 }
591 // Select cosTheta << 640
592 for (G4int i=0; i<iMax; i++) << 641 // Select cosTheta
593 { << 642 for (G4int i=0; i<iMax; i++)
594 cosTheta = -1 + i*2./(iMax-1); << 643 {
595 fCosTheta = (1 + 2.*n - cosTheta); << 644 cosTheta = -1 + i*2./(iMax-1);
596 if (cumul !=0.) value = value + (1./(fCosTh << 645 fCosTheta = (1 + 2.*n - cosTheta);
597 if (random < value) break; << 646 if (cumul !=0.) value = value + (1./(fCosTheta*fCosTheta)) / cumul;
598 } << 647 if (random < value) break;
599 return cosTheta; << 648 }
600 */ << 649 return cosTheta;
601 << 650 */
>> 651 }
602 652
603 //return 0.; << 653 return 0.;
604 } 654 }
605 655