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24 // ******************************************* 24 // ********************************************************************
25 // 25 //
26 // 26 //
27 // 27 //
28 // G4InitXscPAI.cc -- class implementation fil 28 // G4InitXscPAI.cc -- class implementation file
29 // 29 //
30 // GEANT 4 class implementation file 30 // GEANT 4 class implementation file
31 // 31 //
32 // For information related to this code, pleas 32 // For information related to this code, please, contact
33 // the Geant4 Collaboration. 33 // the Geant4 Collaboration.
34 // 34 //
35 // R&D: Vladimir.Grichine@cern.ch 35 // R&D: Vladimir.Grichine@cern.ch
36 // 36 //
37 // History: 37 // History:
38 // 38 //
39 39
40 40
41 41
42 #include "G4InitXscPAI.hh" 42 #include "G4InitXscPAI.hh"
43 43
44 #include "globals.hh" 44 #include "globals.hh"
45 #include "G4PhysicalConstants.hh" 45 #include "G4PhysicalConstants.hh"
46 #include "G4SystemOfUnits.hh" 46 #include "G4SystemOfUnits.hh"
47 #include "G4ios.hh" 47 #include "G4ios.hh"
48 #include "G4Poisson.hh" 48 #include "G4Poisson.hh"
49 #include "G4Integrator.hh" 49 #include "G4Integrator.hh"
50 #include "G4Material.hh" 50 #include "G4Material.hh"
51 #include "G4MaterialCutsCouple.hh" 51 #include "G4MaterialCutsCouple.hh"
52 #include "G4SandiaTable.hh" 52 #include "G4SandiaTable.hh"
53 53
54 54
55 55
56 // Local class constants 56 // Local class constants
57 57
58 const G4double G4InitXscPAI::fDelta = 0 58 const G4double G4InitXscPAI::fDelta = 0.005 ; // energy shift from interval border
59 const G4int G4InitXscPAI::fPAIbin = 1 59 const G4int G4InitXscPAI::fPAIbin = 100 ; // size of energy transfer vectors
60 const G4double G4InitXscPAI::fSolidDensity = 0 60 const G4double G4InitXscPAI::fSolidDensity = 0.05*g/cm3 ; // ~gas-solid border
61 61
62 ////////////////////////////////////////////// 62 //////////////////////////////////////////////////////////////////
63 // 63 //
64 // Constructor 64 // Constructor
65 // 65 //
66 66
67 using namespace std; 67 using namespace std;
68 68
69 G4InitXscPAI::G4InitXscPAI( const G4MaterialCu 69 G4InitXscPAI::G4InitXscPAI( const G4MaterialCutsCouple* matCC)
70 : fPAIxscVector(nullptr), 70 : fPAIxscVector(nullptr),
71 fPAIdEdxVector(nullptr), 71 fPAIdEdxVector(nullptr),
72 fPAIphotonVector(nullptr), 72 fPAIphotonVector(nullptr),
73 fPAIelectronVector(nullptr), 73 fPAIelectronVector(nullptr),
74 fChCosSqVector(nullptr), 74 fChCosSqVector(nullptr),
75 fChWidthVector(nullptr) 75 fChWidthVector(nullptr)
76 { 76 {
77 G4int i, j, matIndex; 77 G4int i, j, matIndex;
78 78
79 fDensity = matCC->GetMaterial()->Get 79 fDensity = matCC->GetMaterial()->GetDensity();
80 fElectronDensity = matCC->GetMaterial()->Get 80 fElectronDensity = matCC->GetMaterial()->GetElectronDensity();
81 matIndex = (G4int)matCC->GetMaterial << 81 matIndex = matCC->GetMaterial()->GetIndex();
82 82
83 fSandia = new G4SandiaTable(matInde 83 fSandia = new G4SandiaTable(matIndex);
84 fIntervalNumber = fSandia->GetMaxInterval() 84 fIntervalNumber = fSandia->GetMaxInterval()-1;
85 85
86 fMatSandiaMatrix = new G4OrderedTable(); 86 fMatSandiaMatrix = new G4OrderedTable();
87 87
88 for (i = 0; i < fIntervalNumber; ++i) << 88 for (i = 0; i < fIntervalNumber; i++)
89 { 89 {
90 fMatSandiaMatrix->push_back(new G4DataVect 90 fMatSandiaMatrix->push_back(new G4DataVector(5,0.));
91 } 91 }
92 for (i = 0; i < fIntervalNumber; ++i) << 92 for (i = 0; i < fIntervalNumber; i++)
93 { 93 {
94 (*(*fMatSandiaMatrix)[i])[0] = fSandia->Ge 94 (*(*fMatSandiaMatrix)[i])[0] = fSandia->GetSandiaMatTable(i,0);
95 95
96 for(j = 1; j < 5 ; ++j) << 96 for(j = 1; j < 5 ; j++)
97 { 97 {
98 (*(*fMatSandiaMatrix)[i])[j] = fSandia-> 98 (*(*fMatSandiaMatrix)[i])[j] = fSandia->GetSandiaMatTable(i,j)*fDensity;
99 } 99 }
100 } 100 }
101 KillCloseIntervals(); 101 KillCloseIntervals();
102 Normalisation(); 102 Normalisation();
103 fBetaGammaSq = fTmax = 0.0; 103 fBetaGammaSq = fTmax = 0.0;
104 fIntervalTmax = fCurrentInterval = 0; 104 fIntervalTmax = fCurrentInterval = 0;
105 } 105 }
106 106
107 107
108 108
109 109
110 ////////////////////////////////////////////// 110 ////////////////////////////////////////////////////////////////////////////
111 // 111 //
112 // Destructor 112 // Destructor
113 113
114 G4InitXscPAI::~G4InitXscPAI() 114 G4InitXscPAI::~G4InitXscPAI()
115 { 115 {
116 delete fPAIxscVector; << 116 if(fPAIxscVector) delete fPAIxscVector;
117 delete fPAIdEdxVector; << 117 if(fPAIdEdxVector) delete fPAIdEdxVector;
118 delete fPAIphotonVector; << 118 if(fPAIphotonVector) delete fPAIphotonVector;
119 delete fPAIelectronVector; << 119 if(fPAIelectronVector) delete fPAIelectronVector;
120 delete fChCosSqVector; << 120 if(fChCosSqVector) delete fChCosSqVector;
121 delete fChWidthVector; << 121 if(fChWidthVector) delete fChWidthVector;
122 delete fSandia; 122 delete fSandia;
123 delete fMatSandiaMatrix; 123 delete fMatSandiaMatrix;
124 } 124 }
125 125
126 ////////////////////////////////////////////// 126 ////////////////////////////////////////////////////////////////////////
127 // 127 //
128 // Kill close intervals, recalculate fInterval 128 // Kill close intervals, recalculate fIntervalNumber
129 129
130 void G4InitXscPAI::KillCloseIntervals() 130 void G4InitXscPAI::KillCloseIntervals()
131 { 131 {
132 G4int i, j, k; 132 G4int i, j, k;
133 G4double energy1, energy2; 133 G4double energy1, energy2;
134 134
135 for( i = 0 ; i < fIntervalNumber - 1 ; i++ ) 135 for( i = 0 ; i < fIntervalNumber - 1 ; i++ )
136 { 136 {
137 energy1 = (*(*fMatSandiaMatrix)[i])[0]; 137 energy1 = (*(*fMatSandiaMatrix)[i])[0];
138 energy2 = (*(*fMatSandiaMatrix)[i+1])[0]; 138 energy2 = (*(*fMatSandiaMatrix)[i+1])[0];
139 139
140 if( energy2 - energy1 > 1.5*fDelta*(energy 140 if( energy2 - energy1 > 1.5*fDelta*(energy1 + energy2) ) continue ;
141 else 141 else
142 { 142 {
143 for(j = i; j < fIntervalNumber-1; j++) 143 for(j = i; j < fIntervalNumber-1; j++)
144 { 144 {
145 for( k = 0; k < 5; k++ ) 145 for( k = 0; k < 5; k++ )
146 { 146 {
147 (*(*fMatSandiaMatrix)[j])[k] = (*(*f 147 (*(*fMatSandiaMatrix)[j])[k] = (*(*fMatSandiaMatrix)[j+1])[k];
148 } 148 }
149 } 149 }
150 fIntervalNumber-- ; 150 fIntervalNumber-- ;
151 i-- ; 151 i-- ;
152 } 152 }
153 } 153 }
154 154
155 } 155 }
156 156
157 ////////////////////////////////////////////// 157 ////////////////////////////////////////////////////////////////////////
158 // 158 //
159 // Kill close intervals, recalculate fInterval 159 // Kill close intervals, recalculate fIntervalNumber
160 160
161 void G4InitXscPAI::Normalisation() 161 void G4InitXscPAI::Normalisation()
162 { 162 {
163 G4int i, j; 163 G4int i, j;
164 G4double energy1, energy2, /*delta,*/ cof; / 164 G4double energy1, energy2, /*delta,*/ cof; // , shift;
165 165
166 energy1 = (*(*fMatSandiaMatrix)[fIntervalNum 166 energy1 = (*(*fMatSandiaMatrix)[fIntervalNumber-1])[0];
167 energy2 = 2.*(*(*fMatSandiaMatrix)[fInterval 167 energy2 = 2.*(*(*fMatSandiaMatrix)[fIntervalNumber-1])[0];
168 168
169 169
170 cof = RutherfordIntegral(fIntervalNumber-1,e 170 cof = RutherfordIntegral(fIntervalNumber-1,energy1,energy2);
171 171
172 for( i = fIntervalNumber-2; i >= 0; i-- ) 172 for( i = fIntervalNumber-2; i >= 0; i-- )
173 { 173 {
174 energy1 = (*(*fMatSandiaMatrix)[i])[0]; 174 energy1 = (*(*fMatSandiaMatrix)[i])[0];
175 energy2 = (*(*fMatSandiaMatrix)[i+1])[0]; 175 energy2 = (*(*fMatSandiaMatrix)[i+1])[0];
176 176
177 cof += RutherfordIntegral(i,energy1,energy 177 cof += RutherfordIntegral(i,energy1,energy2);
178 // G4cout<<"norm. cof = "<<cof<<G4endl; 178 // G4cout<<"norm. cof = "<<cof<<G4endl;
179 } 179 }
180 fNormalizationCof = 2*pi*pi*hbarc*hbarc*fin 180 fNormalizationCof = 2*pi*pi*hbarc*hbarc*fine_structure_const/electron_mass_c2 ;
181 fNormalizationCof *= fElectronDensity; 181 fNormalizationCof *= fElectronDensity;
182 //delta = fNormalizationCof - cof; 182 //delta = fNormalizationCof - cof;
183 fNormalizationCof /= cof; 183 fNormalizationCof /= cof;
184 // G4cout<<"G4InitXscPAI::fNormalizationCof 184 // G4cout<<"G4InitXscPAI::fNormalizationCof/cof = "<<fNormalizationCof
185 // <<"; at delta ="<<delta<<G4endl ; 185 // <<"; at delta ="<<delta<<G4endl ;
186 186
187 for (i = 0; i < fIntervalNumber; i++) // ren 187 for (i = 0; i < fIntervalNumber; i++) // renormalisation on QM sum rule
188 { 188 {
189 for(j = 1; j < 5 ; j++) 189 for(j = 1; j < 5 ; j++)
190 { 190 {
191 (*(*fMatSandiaMatrix)[i])[j] *= fNormali 191 (*(*fMatSandiaMatrix)[i])[j] *= fNormalizationCof;
192 } 192 }
193 } 193 }
194 /* 194 /*
195 if(delta > 0) // shift the first energy inte 195 if(delta > 0) // shift the first energy interval
196 { 196 {
197 for(i=1;i<100;i++) 197 for(i=1;i<100;i++)
198 { 198 {
199 energy1 = (1.-i/100.)*(*(*fMatSandiaMatr 199 energy1 = (1.-i/100.)*(*(*fMatSandiaMatrix)[0])[0];
200 energy2 = (*(*fMatSandiaMatrix)[0])[0]; 200 energy2 = (*(*fMatSandiaMatrix)[0])[0];
201 shift = RutherfordIntegral(0,energy1,e 201 shift = RutherfordIntegral(0,energy1,energy2);
202 G4cout<<shift<<"\t"; 202 G4cout<<shift<<"\t";
203 if(shift >= delta) break; 203 if(shift >= delta) break;
204 } 204 }
205 (*(*fMatSandiaMatrix)[0])[0] = energy1; 205 (*(*fMatSandiaMatrix)[0])[0] = energy1;
206 cof += shift; 206 cof += shift;
207 } 207 }
208 else if(delta < 0) 208 else if(delta < 0)
209 { 209 {
210 for(i=1;i<100;i++) 210 for(i=1;i<100;i++)
211 { 211 {
212 energy1 = (*(*fMatSandiaMatrix)[0])[0]; 212 energy1 = (*(*fMatSandiaMatrix)[0])[0];
213 energy2 = (*(*fMatSandiaMatrix)[0])[0] + 213 energy2 = (*(*fMatSandiaMatrix)[0])[0] +
214 ( (*(*fMatSandiaMatrix)[0])[0] - 214 ( (*(*fMatSandiaMatrix)[0])[0] - (*(*fMatSandiaMatrix)[0])[0] )*i/100.;
215 shift = RutherfordIntegral(0,energy1,e 215 shift = RutherfordIntegral(0,energy1,energy2);
216 if( shift >= std::abs(delta) ) break; 216 if( shift >= std::abs(delta) ) break;
217 } 217 }
218 (*(*fMatSandiaMatrix)[0])[0] = energy2; 218 (*(*fMatSandiaMatrix)[0])[0] = energy2;
219 cof -= shift; 219 cof -= shift;
220 } 220 }
221 G4cout<<G4cout<<"G4InitXscPAI::fNormalizatio 221 G4cout<<G4cout<<"G4InitXscPAI::fNormalizationCof/cof = "<<fNormalizationCof/cof
222 <<"; at delta ="<<delta<<" and i = " 222 <<"; at delta ="<<delta<<" and i = "<<i<<G4endl ;
223 */ 223 */
224 } 224 }
225 225
226 ////////////////////////////////////////////// 226 ////////////////////////////////////////////////////////////////////
227 // 227 //
228 // Integration over electrons that could be co 228 // Integration over electrons that could be considered
229 // quasi-free at energy transfer of interest 229 // quasi-free at energy transfer of interest
230 230
231 G4double G4InitXscPAI::RutherfordIntegral( G4i 231 G4double G4InitXscPAI::RutherfordIntegral( G4int k,
232 G4double x1, 232 G4double x1,
233 G4double x2 ) 233 G4double x2 )
234 { 234 {
235 G4double c1, c2, c3, a1, a2, a3, a4 ; 235 G4double c1, c2, c3, a1, a2, a3, a4 ;
236 236
237 a1 = (*(*fMatSandiaMatrix)[k])[1]; 237 a1 = (*(*fMatSandiaMatrix)[k])[1];
238 a2 = (*(*fMatSandiaMatrix)[k])[2]; 238 a2 = (*(*fMatSandiaMatrix)[k])[2];
239 a3 = (*(*fMatSandiaMatrix)[k])[3]; 239 a3 = (*(*fMatSandiaMatrix)[k])[3];
240 a4 = (*(*fMatSandiaMatrix)[k])[4]; 240 a4 = (*(*fMatSandiaMatrix)[k])[4];
241 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<< 241 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<x2<<G4endl;
242 c1 = (x2 - x1)/x1/x2 ; 242 c1 = (x2 - x1)/x1/x2 ;
243 c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2 ; 243 c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2 ;
244 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x 244 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ;
245 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "< 245 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<<c2<<"; "<<"c3 = "<<c3<<G4endl;
246 246
247 return a1*log(x2/x1) + a2*c1 + a3*c2/2 + a 247 return a1*log(x2/x1) + a2*c1 + a3*c2/2 + a4*c3/3 ;
248 248
249 } // end of RutherfordIntegral 249 } // end of RutherfordIntegral
250 250
251 ////////////////////////////////////////////// 251 ///////////////////////////////////////////////////////////////
252 // 252 //
253 // Integrate photo-absorption cross-section f 253 // Integrate photo-absorption cross-section from I1 up to omega
254 254
255 G4double G4InitXscPAI::IntegralTerm(G4double o 255 G4double G4InitXscPAI::IntegralTerm(G4double omega)
256 { 256 {
257 G4int i; 257 G4int i;
258 G4double energy1, energy2, result = 0.; 258 G4double energy1, energy2, result = 0.;
259 259
260 for( i = 0; i <= fIntervalTmax; i++ ) 260 for( i = 0; i <= fIntervalTmax; i++ )
261 { 261 {
262 if(i == fIntervalTmax) 262 if(i == fIntervalTmax)
263 { 263 {
264 energy1 = (*(*fMatSandiaMatrix)[i])[0]; 264 energy1 = (*(*fMatSandiaMatrix)[i])[0];
265 result += RutherfordIntegral(i,energy1,o 265 result += RutherfordIntegral(i,energy1,omega);
266 } 266 }
267 else 267 else
268 { 268 {
269 if( omega <= (*(*fMatSandiaMatrix)[i+1]) 269 if( omega <= (*(*fMatSandiaMatrix)[i+1])[0])
270 { 270 {
271 energy1 = (*(*fMatSandiaMatrix)[i])[0] 271 energy1 = (*(*fMatSandiaMatrix)[i])[0];
272 result += RutherfordIntegral(i,energy1 272 result += RutherfordIntegral(i,energy1,omega);
273 break; 273 break;
274 } 274 }
275 else 275 else
276 { 276 {
277 energy1 = (*(*fMatSandiaMatrix)[i])[0] 277 energy1 = (*(*fMatSandiaMatrix)[i])[0];
278 energy2 = (*(*fMatSandiaMatrix)[i+1])[ 278 energy2 = (*(*fMatSandiaMatrix)[i+1])[0];
279 result += RutherfordIntegral(i,energy1 279 result += RutherfordIntegral(i,energy1,energy2);
280 } 280 }
281 } 281 }
282 // G4cout<<"IntegralTerm<<"("<<omega<<")"< 282 // G4cout<<"IntegralTerm<<"("<<omega<<")"<<" = "<<result<<G4endl;
283 } 283 }
284 return result; 284 return result;
285 } 285 }
286 286
287 287
288 ////////////////////////////////////////////// 288 ////////////////////////////////////////////////////////////////
289 // 289 //
290 // Imaginary part of dielectric constant 290 // Imaginary part of dielectric constant
291 // (G4int k - interval number, G4double en1 - 291 // (G4int k - interval number, G4double en1 - energy point)
292 292
293 G4double G4InitXscPAI::ImPartDielectricConst( 293 G4double G4InitXscPAI::ImPartDielectricConst( G4int k ,
294 G4double energy1 294 G4double energy1 )
295 { 295 {
296 G4double energy2,energy3,energy4,a1,a2,a3,a 296 G4double energy2,energy3,energy4,a1,a2,a3,a4,result;
297 297
298 a1 = (*(*fMatSandiaMatrix)[k])[1]; 298 a1 = (*(*fMatSandiaMatrix)[k])[1];
299 a2 = (*(*fMatSandiaMatrix)[k])[2]; 299 a2 = (*(*fMatSandiaMatrix)[k])[2];
300 a3 = (*(*fMatSandiaMatrix)[k])[3]; 300 a3 = (*(*fMatSandiaMatrix)[k])[3];
301 a4 = (*(*fMatSandiaMatrix)[k])[4]; 301 a4 = (*(*fMatSandiaMatrix)[k])[4];
302 302
303 energy2 = energy1*energy1; 303 energy2 = energy1*energy1;
304 energy3 = energy2*energy1; 304 energy3 = energy2*energy1;
305 energy4 = energy3*energy1; 305 energy4 = energy3*energy1;
306 306
307 result = a1/energy1+a2/energy2+a3/energy3+ 307 result = a1/energy1+a2/energy2+a3/energy3+a4/energy4 ;
308 result *= hbarc/energy1 ; 308 result *= hbarc/energy1 ;
309 309
310 return result ; 310 return result ;
311 311
312 } // end of ImPartDielectricConst 312 } // end of ImPartDielectricConst
313 313
314 ////////////////////////////////////////////// 314 ////////////////////////////////////////////////////////////////
315 // 315 //
316 // Modulus squared of dielectric constant 316 // Modulus squared of dielectric constant
317 // (G4int k - interval number, G4double omega 317 // (G4int k - interval number, G4double omega - energy point)
318 318
319 G4double G4InitXscPAI::ModuleSqDielectricConst 319 G4double G4InitXscPAI::ModuleSqDielectricConst( G4int k ,
320 G4double omega ) 320 G4double omega )
321 { 321 {
322 G4double eIm2, eRe2, result; 322 G4double eIm2, eRe2, result;
323 323
324 result = ImPartDielectricConst(k,omega); 324 result = ImPartDielectricConst(k,omega);
325 eIm2 = result*result; 325 eIm2 = result*result;
326 326
327 result = RePartDielectricConst(omega); 327 result = RePartDielectricConst(omega);
328 eRe2 = result*result; 328 eRe2 = result*result;
329 329
330 result = eIm2 + eRe2; 330 result = eIm2 + eRe2;
331 331
332 return result ; 332 return result ;
333 } 333 }
334 334
335 335
336 ////////////////////////////////////////////// 336 //////////////////////////////////////////////////////////////////////////////
337 // 337 //
338 // Real part of dielectric constant minus unit 338 // Real part of dielectric constant minus unit: epsilon_1 - 1
339 // (G4double enb - energy point) 339 // (G4double enb - energy point)
340 // 340 //
341 341
342 G4double G4InitXscPAI::RePartDielectricConst(G 342 G4double G4InitXscPAI::RePartDielectricConst(G4double enb)
343 { 343 {
344 G4int i; 344 G4int i;
345 G4double x0, x02, x03, x04, x05, x1, x2, a1 345 G4double x0, x02, x03, x04, x05, x1, x2, a1,a2,a3,a4,xx1 ,xx2 , xx12,
346 c1, c2, c3, cof1, cof2, xln1, xln2 346 c1, c2, c3, cof1, cof2, xln1, xln2, xln3, result ;
347 347
348 x0 = enb ; 348 x0 = enb ;
349 result = 0 ; 349 result = 0 ;
350 350
351 for( i = 0; i < fIntervalNumber-1; i++) 351 for( i = 0; i < fIntervalNumber-1; i++)
352 { 352 {
353 x1 = (*(*fMatSandiaMatrix)[i])[0]; 353 x1 = (*(*fMatSandiaMatrix)[i])[0];
354 x2 = (*(*fMatSandiaMatrix)[i+1])[0] ; 354 x2 = (*(*fMatSandiaMatrix)[i+1])[0] ;
355 355
356 a1 = (*(*fMatSandiaMatrix)[i])[1]; 356 a1 = (*(*fMatSandiaMatrix)[i])[1];
357 a2 = (*(*fMatSandiaMatrix)[i])[2]; 357 a2 = (*(*fMatSandiaMatrix)[i])[2];
358 a3 = (*(*fMatSandiaMatrix)[i])[3]; 358 a3 = (*(*fMatSandiaMatrix)[i])[3];
359 a4 = (*(*fMatSandiaMatrix)[i])[4]; 359 a4 = (*(*fMatSandiaMatrix)[i])[4];
360 360
361 if( std::abs(x0-x1) < 0.5*(x0+x1)*fDelta 361 if( std::abs(x0-x1) < 0.5*(x0+x1)*fDelta )
362 { 362 {
363 if(x0 >= x1) x0 = x1*(1+fDelta); 363 if(x0 >= x1) x0 = x1*(1+fDelta);
364 else x0 = x1*(1-fDelta); 364 else x0 = x1*(1-fDelta);
365 } 365 }
366 if( std::abs(x0-x2) < 0.5*(x0+x2)*fDelta 366 if( std::abs(x0-x2) < 0.5*(x0+x2)*fDelta )
367 { 367 {
368 if(x0 >= x2) x0 = x2*(1+fDelta); 368 if(x0 >= x2) x0 = x2*(1+fDelta);
369 else x0 = x2*(1-fDelta); 369 else x0 = x2*(1-fDelta);
370 } 370 }
371 xx1 = x1 - x0 ; 371 xx1 = x1 - x0 ;
372 xx2 = x2 - x0 ; 372 xx2 = x2 - x0 ;
373 xx12 = xx2/xx1 ; 373 xx12 = xx2/xx1 ;
374 374
375 if( xx12 < 0 ) xx12 = -xx12; 375 if( xx12 < 0 ) xx12 = -xx12;
376 376
377 xln1 = log(x2/x1) ; 377 xln1 = log(x2/x1) ;
378 xln2 = log(xx12) ; 378 xln2 = log(xx12) ;
379 xln3 = log((x2 + x0)/(x1 + x0)) ; 379 xln3 = log((x2 + x0)/(x1 + x0)) ;
380 380
381 x02 = x0*x0 ; 381 x02 = x0*x0 ;
382 x03 = x02*x0 ; 382 x03 = x02*x0 ;
383 x04 = x03*x0 ; 383 x04 = x03*x0 ;
384 x05 = x04*x0; 384 x05 = x04*x0;
385 385
386 c1 = (x2 - x1)/x1/x2 ; 386 c1 = (x2 - x1)/x1/x2 ;
387 c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2 ; 387 c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2 ;
388 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x 388 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ;
389 389
390 result -= (a1/x02 + a3/x04)*xln1 ; 390 result -= (a1/x02 + a3/x04)*xln1 ;
391 result -= (a2/x02 + a4/x04)*c1 ; 391 result -= (a2/x02 + a4/x04)*c1 ;
392 result -= a3*c2/2/x02 ; 392 result -= a3*c2/2/x02 ;
393 result -= a4*c3/3/x02 ; 393 result -= a4*c3/3/x02 ;
394 394
395 cof1 = a1/x02 + a3/x04 ; 395 cof1 = a1/x02 + a3/x04 ;
396 cof2 = a2/x03 + a4/x05 ; 396 cof2 = a2/x03 + a4/x05 ;
397 397
398 result += 0.5*(cof1 +cof2)*xln2 ; 398 result += 0.5*(cof1 +cof2)*xln2 ;
399 result += 0.5*(cof1 - cof2)*xln3 ; 399 result += 0.5*(cof1 - cof2)*xln3 ;
400 } 400 }
401 result *= 2*hbarc/pi ; 401 result *= 2*hbarc/pi ;
402 402
403 return result ; 403 return result ;
404 404
405 } // end of RePartDielectricConst 405 } // end of RePartDielectricConst
406 406
407 ////////////////////////////////////////////// 407 //////////////////////////////////////////////////////////////////////
408 // 408 //
409 // PAI differential cross-section in terms of 409 // PAI differential cross-section in terms of
410 // simplified Allison's equation 410 // simplified Allison's equation
411 // 411 //
412 412
413 G4double G4InitXscPAI::DifPAIxSection( G4doubl 413 G4double G4InitXscPAI::DifPAIxSection( G4double omega )
414 { 414 {
415 G4int i = fCurrentInterval; 415 G4int i = fCurrentInterval;
416 G4double betaGammaSq = fBetaGammaSq; 416 G4double betaGammaSq = fBetaGammaSq;
417 G4double integralTerm = IntegralTerm(omega); 417 G4double integralTerm = IntegralTerm(omega);
418 G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,res 418 G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,result ;
419 G4double epsilonRe = RePartDielectricConst(o 419 G4double epsilonRe = RePartDielectricConst(omega);
420 G4double epsilonIm = ImPartDielectricConst(i 420 G4double epsilonIm = ImPartDielectricConst(i,omega);
421 G4double be4 ; 421 G4double be4 ;
422 static const G4double betaBohr2 = fine_struc 422 static const G4double betaBohr2 = fine_structure_const*fine_structure_const ;
423 static const G4double betaBohr4 = betaBohr2* 423 static const G4double betaBohr4 = betaBohr2*betaBohr2*4.0 ;
424 be2 = betaGammaSq/(1 + betaGammaSq) ; 424 be2 = betaGammaSq/(1 + betaGammaSq) ;
425 be4 = be2*be2 ; 425 be4 = be2*be2 ;
426 426
427 cof = 1 ; 427 cof = 1 ;
428 x1 = log(2*electron_mass_c2/omega) ; 428 x1 = log(2*electron_mass_c2/omega) ;
429 429
430 if( betaGammaSq < 0.01 ) x2 = log(be2) ; 430 if( betaGammaSq < 0.01 ) x2 = log(be2) ;
431 else 431 else
432 { 432 {
433 x2 = -log( (1/betaGammaSq - epsilonRe)* 433 x2 = -log( (1/betaGammaSq - epsilonRe)*
434 (1/betaGammaSq - epsilonRe) + 434 (1/betaGammaSq - epsilonRe) +
435 epsilonIm*epsilonIm )/2 ; 435 epsilonIm*epsilonIm )/2 ;
436 } 436 }
437 if( epsilonIm == 0.0 || betaGammaSq < 0.01 437 if( epsilonIm == 0.0 || betaGammaSq < 0.01 )
438 { 438 {
439 x6=0 ; 439 x6=0 ;
440 } 440 }
441 else 441 else
442 { 442 {
443 x3 = -epsilonRe + 1/betaGammaSq ; 443 x3 = -epsilonRe + 1/betaGammaSq ;
444 x5 = -1 - epsilonRe + be2*((1 +epsilonRe) 444 x5 = -1 - epsilonRe + be2*((1 +epsilonRe)*(1 + epsilonRe) +
445 epsilonIm*epsilonIm) ; 445 epsilonIm*epsilonIm) ;
446 446
447 x7 = atan2(epsilonIm,x3) ; 447 x7 = atan2(epsilonIm,x3) ;
448 x6 = x5 * x7 ; 448 x6 = x5 * x7 ;
449 } 449 }
450 // if(fImPartDielectricConst[i] == 0) x6 = 450 // if(fImPartDielectricConst[i] == 0) x6 = 0 ;
451 451
452 x4 = ((x1 + x2)*epsilonIm + x6)/hbarc ; 452 x4 = ((x1 + x2)*epsilonIm + x6)/hbarc ;
453 // if( x4 < 0.0 ) x4 = 0.0 ; 453 // if( x4 < 0.0 ) x4 = 0.0 ;
454 x8 = (1 + epsilonRe)*(1 + epsilonRe) + 454 x8 = (1 + epsilonRe)*(1 + epsilonRe) +
455 epsilonIm*epsilonIm; 455 epsilonIm*epsilonIm;
456 456
457 result = (x4 + cof*integralTerm/omega/omega 457 result = (x4 + cof*integralTerm/omega/omega) ;
458 if(result < 1.0e-8) result = 1.0e-8 ; 458 if(result < 1.0e-8) result = 1.0e-8 ;
459 result *= fine_structure_const/be2/pi ; 459 result *= fine_structure_const/be2/pi ;
460 // result *= (1-exp(-beta/betaBohr))*(1-e 460 // result *= (1-exp(-beta/betaBohr))*(1-exp(-beta/betaBohr)) ;
461 // result *= (1-exp(-be2/betaBohr2)) ; 461 // result *= (1-exp(-be2/betaBohr2)) ;
462 result *= (1-exp(-be4/betaBohr4)) ; 462 result *= (1-exp(-be4/betaBohr4)) ;
463 if(fDensity >= fSolidDensity) 463 if(fDensity >= fSolidDensity)
464 { 464 {
465 result /= x8 ; 465 result /= x8 ;
466 } 466 }
467 return result ; 467 return result ;
468 468
469 } // end of DifPAIxSection 469 } // end of DifPAIxSection
470 470
471 ////////////////////////////////////////////// 471 //////////////////////////////////////////////////////////////////////
472 // 472 //
473 // Differential PAI dEdx(omega)=omega*dNdx(ome 473 // Differential PAI dEdx(omega)=omega*dNdx(omega)
474 // 474 //
475 475
476 G4double G4InitXscPAI::DifPAIdEdx( G4double om 476 G4double G4InitXscPAI::DifPAIdEdx( G4double omega )
477 { 477 {
478 G4double dEdx = omega*DifPAIxSection(omega); 478 G4double dEdx = omega*DifPAIxSection(omega);
479 return dEdx; 479 return dEdx;
480 } 480 }
481 481
482 ////////////////////////////////////////////// 482 //////////////////////////////////////////////////////////////////////////
483 // 483 //
484 // Calculation od dN/dx of collisions with cre 484 // Calculation od dN/dx of collisions with creation of Cerenkov pseudo-photons
485 485
486 G4double G4InitXscPAI::PAIdNdxCherenkov( G4dou 486 G4double G4InitXscPAI::PAIdNdxCherenkov( G4double omega )
487 { 487 {
488 G4int i = fCurrentInterval; 488 G4int i = fCurrentInterval;
489 G4double betaGammaSq = fBetaGammaSq; 489 G4double betaGammaSq = fBetaGammaSq;
490 G4double epsilonRe = RePartDielectricConst(o 490 G4double epsilonRe = RePartDielectricConst(omega);
491 G4double epsilonIm = ImPartDielectricConst(i 491 G4double epsilonIm = ImPartDielectricConst(i,omega);
492 492
493 G4double /*cof,*/ logarithm, x3, x5, argumen 493 G4double /*cof,*/ logarithm, x3, x5, argument, modul2, dNdxC ;
494 G4double be2, be4; 494 G4double be2, be4;
495 495
496 //cof = 1.0 ; 496 //cof = 1.0 ;
497 static const G4double cofBetaBohr = 4.0 ; 497 static const G4double cofBetaBohr = 4.0 ;
498 static const G4double betaBohr2 = fine_str 498 static const G4double betaBohr2 = fine_structure_const*fine_structure_const ;
499 static const G4double betaBohr4 = betaBohr 499 static const G4double betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ;
500 500
501 be2 = betaGammaSq/(1 + betaGammaSq) ; 501 be2 = betaGammaSq/(1 + betaGammaSq) ;
502 be4 = be2*be2 ; 502 be4 = be2*be2 ;
503 503
504 if( betaGammaSq < 0.01 ) logarithm = log(1. 504 if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq) ; // 0.0 ;
505 else 505 else
506 { 506 {
507 logarithm = -log( (1/betaGammaSq - epsil 507 logarithm = -log( (1/betaGammaSq - epsilonRe)*
508 (1/betaGammaSq - epsilonRe) 508 (1/betaGammaSq - epsilonRe) +
509 epsilonIm*epsilonIm )*0.5 ; 509 epsilonIm*epsilonIm )*0.5 ;
510 logarithm += log(1+1.0/betaGammaSq) ; 510 logarithm += log(1+1.0/betaGammaSq) ;
511 } 511 }
512 512
513 if( epsilonIm == 0.0 || betaGammaSq < 0.01 513 if( epsilonIm == 0.0 || betaGammaSq < 0.01 )
514 { 514 {
515 argument = 0.0 ; 515 argument = 0.0 ;
516 } 516 }
517 else 517 else
518 { 518 {
519 x3 = -epsilonRe + 1.0/betaGammaSq ; 519 x3 = -epsilonRe + 1.0/betaGammaSq ;
520 x5 = -1.0 - epsilonRe + 520 x5 = -1.0 - epsilonRe +
521 be2*((1.0 +epsilonRe)*(1.0 + epsilon 521 be2*((1.0 +epsilonRe)*(1.0 + epsilonRe) +
522 epsilonIm*epsilonIm) ; 522 epsilonIm*epsilonIm) ;
523 if( x3 == 0.0 ) argument = 0.5*pi; 523 if( x3 == 0.0 ) argument = 0.5*pi;
524 else argument = atan2(epsilonI 524 else argument = atan2(epsilonIm,x3) ;
525 argument *= x5 ; 525 argument *= x5 ;
526 } 526 }
527 dNdxC = ( logarithm*epsilonIm + argument )/ 527 dNdxC = ( logarithm*epsilonIm + argument )/hbarc ;
528 528
529 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8 ; 529 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8 ;
530 530
531 dNdxC *= fine_structure_const/be2/pi ; 531 dNdxC *= fine_structure_const/be2/pi ;
532 532
533 dNdxC *= (1-exp(-be4/betaBohr4)) ; 533 dNdxC *= (1-exp(-be4/betaBohr4)) ;
534 534
535 if(fDensity >= fSolidDensity) 535 if(fDensity >= fSolidDensity)
536 { 536 {
537 modul2 = (1.0 + epsilonRe)*(1.0 + epsilo 537 modul2 = (1.0 + epsilonRe)*(1.0 + epsilonRe) +
538 epsilonIm*epsilonIm; 538 epsilonIm*epsilonIm;
539 dNdxC /= modul2 ; 539 dNdxC /= modul2 ;
540 } 540 }
541 return dNdxC ; 541 return dNdxC ;
542 542
543 } // end of PAIdNdxCerenkov 543 } // end of PAIdNdxCerenkov
544 544
545 ////////////////////////////////////////////// 545 //////////////////////////////////////////////////////////////////////////
546 // 546 //
547 // Calculation od dN/dx of collisions with cre 547 // Calculation od dN/dx of collisions with creation of longitudinal EM
548 // excitations (plasmons, delta-electrons) 548 // excitations (plasmons, delta-electrons)
549 549
550 G4double G4InitXscPAI::PAIdNdxPlasmon( G4doubl 550 G4double G4InitXscPAI::PAIdNdxPlasmon( G4double omega )
551 { 551 {
552 G4int i = fCurrentInterval; 552 G4int i = fCurrentInterval;
553 G4double betaGammaSq = fBetaGammaSq; 553 G4double betaGammaSq = fBetaGammaSq;
554 G4double integralTerm = IntegralTerm(omega); 554 G4double integralTerm = IntegralTerm(omega);
555 G4double epsilonRe = RePartDielectricConst(o 555 G4double epsilonRe = RePartDielectricConst(omega);
556 G4double epsilonIm = ImPartDielectricConst(i 556 G4double epsilonIm = ImPartDielectricConst(i,omega);
557 557
558 G4double cof, resonance, modul2, dNdxP ; 558 G4double cof, resonance, modul2, dNdxP ;
559 G4double be2, be4; 559 G4double be2, be4;
560 560
561 cof = 1 ; 561 cof = 1 ;
562 static const G4double cofBetaBohr = 4.0 ; 562 static const G4double cofBetaBohr = 4.0 ;
563 static const G4double betaBohr2 = fine_st 563 static const G4double betaBohr2 = fine_structure_const*fine_structure_const ;
564 static const G4double betaBohr4 = betaBoh 564 static const G4double betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ;
565 565
566 be2 = betaGammaSq/(1 + betaGammaSq) ; 566 be2 = betaGammaSq/(1 + betaGammaSq) ;
567 be4 = be2*be2 ; 567 be4 = be2*be2 ;
568 568
569 resonance = log(2*electron_mass_c2*be2/ome 569 resonance = log(2*electron_mass_c2*be2/omega) ;
570 resonance *= epsilonIm/hbarc ; 570 resonance *= epsilonIm/hbarc ;
571 571
572 572
573 dNdxP = ( resonance + cof*integralTerm/omeg 573 dNdxP = ( resonance + cof*integralTerm/omega/omega ) ;
574 574
575 if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8 ; 575 if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8 ;
576 576
577 dNdxP *= fine_structure_const/be2/pi ; 577 dNdxP *= fine_structure_const/be2/pi ;
578 dNdxP *= (1-exp(-be4/betaBohr4)) ; 578 dNdxP *= (1-exp(-be4/betaBohr4)) ;
579 579
580 if( fDensity >= fSolidDensity ) 580 if( fDensity >= fSolidDensity )
581 { 581 {
582 modul2 = (1 + epsilonRe)*(1 + epsilonRe) 582 modul2 = (1 + epsilonRe)*(1 + epsilonRe) +
583 epsilonIm*epsilonIm; 583 epsilonIm*epsilonIm;
584 dNdxP /= modul2 ; 584 dNdxP /= modul2 ;
585 } 585 }
586 return dNdxP ; 586 return dNdxP ;
587 587
588 } // end of PAIdNdxPlasmon 588 } // end of PAIdNdxPlasmon
589 589
590 ////////////////////////////////////////////// 590 ////////////////////////////////////////////////////////////////////////
591 // 591 //
592 // Calculation of the PAI integral cross-secti 592 // Calculation of the PAI integral cross-section
593 // = specific primary ionisation, 1/cm 593 // = specific primary ionisation, 1/cm
594 // 594 //
595 595
596 void G4InitXscPAI::IntegralPAIxSection(G4doubl 596 void G4InitXscPAI::IntegralPAIxSection(G4double bg2, G4double Tmax)
597 { 597 {
598 G4int i,k,i1,i2; 598 G4int i,k,i1,i2;
599 G4double energy1, energy2, result = 0.; 599 G4double energy1, energy2, result = 0.;
600 600
601 fBetaGammaSq = bg2; 601 fBetaGammaSq = bg2;
602 fTmax = Tmax; 602 fTmax = Tmax;
603 603
604 delete fPAIxscVector; << 604 if(fPAIxscVector) delete fPAIxscVector;
605 605
606 fPAIxscVector = new G4PhysicsLogVector( (*(* 606 fPAIxscVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
607 fPAIxscVector->PutValue(fPAIbin-1,result); 607 fPAIxscVector->PutValue(fPAIbin-1,result);
608 608
609 for( i = fIntervalNumber - 1; i >= 0; i-- ) 609 for( i = fIntervalNumber - 1; i >= 0; i-- )
610 { 610 {
611 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 611 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
612 } 612 }
613 if (i < 0) i = 0; // Tmax should be more tha 613 if (i < 0) i = 0; // Tmax should be more than
614 // first ionisation potent 614 // first ionisation potential
615 fIntervalTmax = i; 615 fIntervalTmax = i;
616 616
617 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 617 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
618 618
619 for( k = fPAIbin - 2; k >= 0; k-- ) 619 for( k = fPAIbin - 2; k >= 0; k-- )
620 { 620 {
621 energy1 = fPAIxscVector->GetLowEdgeEnergy( 621 energy1 = fPAIxscVector->GetLowEdgeEnergy(k);
622 energy2 = fPAIxscVector->GetLowEdgeEnergy( 622 energy2 = fPAIxscVector->GetLowEdgeEnergy(k+1);
623 623
624 for( i = fIntervalTmax; i >= 0; i-- ) 624 for( i = fIntervalTmax; i >= 0; i-- )
625 { 625 {
626 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 626 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
627 } 627 }
628 if(i < 0) i = 0; 628 if(i < 0) i = 0;
629 i2 = i; 629 i2 = i;
630 630
631 for( i = fIntervalTmax; i >= 0; i-- ) 631 for( i = fIntervalTmax; i >= 0; i-- )
632 { 632 {
633 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 633 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
634 } 634 }
635 if(i < 0) i = 0; 635 if(i < 0) i = 0;
636 i1 = i; 636 i1 = i;
637 637
638 if( i1 == i2 ) 638 if( i1 == i2 )
639 { 639 {
640 fCurrentInterval = i1; 640 fCurrentInterval = i1;
641 result += integral.Legendre10(this,&G4In 641 result += integral.Legendre10(this,&G4InitXscPAI::DifPAIxSection,
642 energy1,en 642 energy1,energy2);
643 fPAIxscVector->PutValue(k,result); 643 fPAIxscVector->PutValue(k,result);
644 } 644 }
645 else 645 else
646 { 646 {
647 for( i = i2; i >= i1; i-- ) 647 for( i = i2; i >= i1; i-- )
648 { 648 {
649 fCurrentInterval = i; 649 fCurrentInterval = i;
650 650
651 if( i==i2 ) result += integral. 651 if( i==i2 ) result += integral.Legendre10(this,
652 &G4InitXscPAI::DifP 652 &G4InitXscPAI::DifPAIxSection,
653 (*(*fMatSandiaMatri 653 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
654 654
655 else if( i == i1 ) result += integral.Legend 655 else if( i == i1 ) result += integral.Legendre10(this,
656 &G4InitXscPAI::DifP 656 &G4InitXscPAI::DifPAIxSection,energy1,
657 (*(*fMatSandiaMatri 657 (*(*fMatSandiaMatrix)[i+1])[0]);
658 658
659 else result += integral. 659 else result += integral.Legendre10(this,
660 &G4InitXscPAI::DifP 660 &G4InitXscPAI::DifPAIxSection,
661 (*(*fMatSandiaMatrix)[i 661 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
662 } 662 }
663 fPAIxscVector->PutValue(k,result); 663 fPAIxscVector->PutValue(k,result);
664 } 664 }
665 // G4cout<<k<<"\t"<<result<<G4endl; 665 // G4cout<<k<<"\t"<<result<<G4endl;
666 } 666 }
667 return ; 667 return ;
668 } 668 }
669 669
670 670
671 ////////////////////////////////////////////// 671 ////////////////////////////////////////////////////////////////////////
672 // 672 //
673 // Calculation of the PAI integral dEdx 673 // Calculation of the PAI integral dEdx
674 // = mean energy loss per unit length, keV/cm 674 // = mean energy loss per unit length, keV/cm
675 // 675 //
676 676
677 void G4InitXscPAI::IntegralPAIdEdx(G4double bg 677 void G4InitXscPAI::IntegralPAIdEdx(G4double bg2, G4double Tmax)
678 { 678 {
679 G4int i,k,i1,i2; 679 G4int i,k,i1,i2;
680 G4double energy1, energy2, result = 0.; 680 G4double energy1, energy2, result = 0.;
681 681
682 fBetaGammaSq = bg2; 682 fBetaGammaSq = bg2;
683 fTmax = Tmax; 683 fTmax = Tmax;
684 684
685 delete fPAIdEdxVector; << 685 if(fPAIdEdxVector) delete fPAIdEdxVector;
686 686
687 fPAIdEdxVector = new G4PhysicsLogVector( (*( 687 fPAIdEdxVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
688 fPAIdEdxVector->PutValue(fPAIbin-1,result); 688 fPAIdEdxVector->PutValue(fPAIbin-1,result);
689 689
690 for( i = fIntervalNumber - 1; i >= 0; i-- ) 690 for( i = fIntervalNumber - 1; i >= 0; i-- )
691 { 691 {
692 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 692 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
693 } 693 }
694 if (i < 0) i = 0; // Tmax should be more tha 694 if (i < 0) i = 0; // Tmax should be more than
695 // first ionisation potent 695 // first ionisation potential
696 fIntervalTmax = i; 696 fIntervalTmax = i;
697 697
698 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 698 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
699 699
700 for( k = fPAIbin - 2; k >= 0; k-- ) 700 for( k = fPAIbin - 2; k >= 0; k-- )
701 { 701 {
702 energy1 = fPAIdEdxVector->GetLowEdgeEnergy 702 energy1 = fPAIdEdxVector->GetLowEdgeEnergy(k);
703 energy2 = fPAIdEdxVector->GetLowEdgeEnergy 703 energy2 = fPAIdEdxVector->GetLowEdgeEnergy(k+1);
704 704
705 for( i = fIntervalTmax; i >= 0; i-- ) 705 for( i = fIntervalTmax; i >= 0; i-- )
706 { 706 {
707 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 707 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
708 } 708 }
709 if(i < 0) i = 0; 709 if(i < 0) i = 0;
710 i2 = i; 710 i2 = i;
711 711
712 for( i = fIntervalTmax; i >= 0; i-- ) 712 for( i = fIntervalTmax; i >= 0; i-- )
713 { 713 {
714 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 714 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
715 } 715 }
716 if(i < 0) i = 0; 716 if(i < 0) i = 0;
717 i1 = i; 717 i1 = i;
718 718
719 if( i1 == i2 ) 719 if( i1 == i2 )
720 { 720 {
721 fCurrentInterval = i1; 721 fCurrentInterval = i1;
722 result += integral.Legendre10(this,&G4In 722 result += integral.Legendre10(this,&G4InitXscPAI::DifPAIdEdx,
723 energy1,en 723 energy1,energy2);
724 fPAIdEdxVector->PutValue(k,result); 724 fPAIdEdxVector->PutValue(k,result);
725 } 725 }
726 else 726 else
727 { 727 {
728 for( i = i2; i >= i1; i-- ) 728 for( i = i2; i >= i1; i-- )
729 { 729 {
730 fCurrentInterval = i; 730 fCurrentInterval = i;
731 731
732 if( i==i2 ) result += integral. 732 if( i==i2 ) result += integral.Legendre10(this,
733 &G4InitXscPAI::DifP 733 &G4InitXscPAI::DifPAIdEdx,
734 (*(*fMatSandiaMatri 734 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
735 735
736 else if( i == i1 ) result += integral.Legend 736 else if( i == i1 ) result += integral.Legendre10(this,
737 &G4InitXscPAI::DifP 737 &G4InitXscPAI::DifPAIdEdx,energy1,
738 (*(*fMatSandiaMatri 738 (*(*fMatSandiaMatrix)[i+1])[0]);
739 739
740 else result += integral. 740 else result += integral.Legendre10(this,
741 &G4InitXscPAI::DifP 741 &G4InitXscPAI::DifPAIdEdx,
742 (*(*fMatSandiaMatrix)[i 742 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
743 } 743 }
744 fPAIdEdxVector->PutValue(k,result); 744 fPAIdEdxVector->PutValue(k,result);
745 } 745 }
746 // G4cout<<k<<"\t"<<result<<G4endl; 746 // G4cout<<k<<"\t"<<result<<G4endl;
747 } 747 }
748 return ; 748 return ;
749 } 749 }
750 750
751 ////////////////////////////////////////////// 751 ////////////////////////////////////////////////////////////////////////
752 // 752 //
753 // Calculation of the PAI Cerenkov integral cr 753 // Calculation of the PAI Cerenkov integral cross-section
754 // fIntegralCrenkov[1] = specific Crenkov ioni 754 // fIntegralCrenkov[1] = specific Crenkov ionisation, 1/cm
755 // and fIntegralCerenkov[0] = mean Cerenkov lo 755 // and fIntegralCerenkov[0] = mean Cerenkov loss per cm in keV/cm
756 756
757 void G4InitXscPAI::IntegralCherenkov(G4double 757 void G4InitXscPAI::IntegralCherenkov(G4double bg2, G4double Tmax)
758 { 758 {
759 G4int i,k,i1,i2; 759 G4int i,k,i1,i2;
760 G4double energy1, energy2, beta2, module2, c 760 G4double energy1, energy2, beta2, module2, cos2, width, result = 0.;
761 761
762 fBetaGammaSq = bg2; 762 fBetaGammaSq = bg2;
763 fTmax = Tmax; 763 fTmax = Tmax;
764 beta2 = bg2/(1+bg2); 764 beta2 = bg2/(1+bg2);
765 765
766 delete fPAIphotonVector; << 766 if(fPAIphotonVector) delete fPAIphotonVector;
767 delete fChCosSqVector; << 767 if(fChCosSqVector) delete fChCosSqVector;
768 delete fChWidthVector; << 768 if(fChWidthVector) delete fChWidthVector;
769 769
770 fPAIphotonVector = new G4PhysicsLogVector( ( 770 fPAIphotonVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
771 fChCosSqVector = new G4PhysicsLogVector( (*( 771 fChCosSqVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
772 fChWidthVector = new G4PhysicsLogVector( (*( 772 fChWidthVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
773 773
774 fPAIphotonVector->PutValue(fPAIbin-1,result) 774 fPAIphotonVector->PutValue(fPAIbin-1,result);
775 fChCosSqVector->PutValue(fPAIbin-1,1.); 775 fChCosSqVector->PutValue(fPAIbin-1,1.);
776 fChWidthVector->PutValue(fPAIbin-1,1e-7); 776 fChWidthVector->PutValue(fPAIbin-1,1e-7);
777 777
778 for( i = fIntervalNumber - 1; i >= 0; i-- ) 778 for( i = fIntervalNumber - 1; i >= 0; i-- )
779 { 779 {
780 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 780 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
781 } 781 }
782 if (i < 0) i = 0; // Tmax should be more tha 782 if (i < 0) i = 0; // Tmax should be more than
783 // first ionisation potent 783 // first ionisation potential
784 fIntervalTmax = i; 784 fIntervalTmax = i;
785 785
786 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 786 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
787 787
788 for( k = fPAIbin - 2; k >= 0; k-- ) 788 for( k = fPAIbin - 2; k >= 0; k-- )
789 { 789 {
790 energy1 = fPAIphotonVector->GetLowEdgeEner 790 energy1 = fPAIphotonVector->GetLowEdgeEnergy(k);
791 energy2 = fPAIphotonVector->GetLowEdgeEner 791 energy2 = fPAIphotonVector->GetLowEdgeEnergy(k+1);
792 792
793 for( i = fIntervalTmax; i >= 0; i-- ) 793 for( i = fIntervalTmax; i >= 0; i-- )
794 { 794 {
795 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 795 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
796 } 796 }
797 if(i < 0) i = 0; 797 if(i < 0) i = 0;
798 i2 = i; 798 i2 = i;
799 799
800 for( i = fIntervalTmax; i >= 0; i-- ) 800 for( i = fIntervalTmax; i >= 0; i-- )
801 { 801 {
802 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 802 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
803 } 803 }
804 if(i < 0) i = 0; 804 if(i < 0) i = 0;
805 i1 = i; 805 i1 = i;
806 806
807 module2 = ModuleSqDielectricConst(i1,energ 807 module2 = ModuleSqDielectricConst(i1,energy1);
808 cos2 = RePartDielectricConst(energy1)/m 808 cos2 = RePartDielectricConst(energy1)/module2/beta2;
809 width = ImPartDielectricConst(i1,energy1 809 width = ImPartDielectricConst(i1,energy1)/module2/beta2;
810 810
811 fChCosSqVector->PutValue(k,cos2); 811 fChCosSqVector->PutValue(k,cos2);
812 fChWidthVector->PutValue(k,width); 812 fChWidthVector->PutValue(k,width);
813 813
814 if( i1 == i2 ) 814 if( i1 == i2 )
815 { 815 {
816 fCurrentInterval = i1; 816 fCurrentInterval = i1;
817 result += integral.Legendre10(this,&G4In 817 result += integral.Legendre10(this,&G4InitXscPAI::PAIdNdxCherenkov,
818 energy1,en 818 energy1,energy2);
819 fPAIphotonVector->PutValue(k,result); 819 fPAIphotonVector->PutValue(k,result);
820 820
821 } 821 }
822 else 822 else
823 { 823 {
824 for( i = i2; i >= i1; i-- ) 824 for( i = i2; i >= i1; i-- )
825 { 825 {
826 fCurrentInterval = i; 826 fCurrentInterval = i;
827 827
828 if( i==i2 ) result += integral. 828 if( i==i2 ) result += integral.Legendre10(this,
829 &G4InitXscPAI::PAId 829 &G4InitXscPAI::PAIdNdxCherenkov,
830 (*(*fMatSandiaMatri 830 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
831 831
832 else if( i == i1 ) result += integral.Legend 832 else if( i == i1 ) result += integral.Legendre10(this,
833 &G4InitXscPAI::PAId 833 &G4InitXscPAI::PAIdNdxCherenkov,energy1,
834 (*(*fMatSandiaMatri 834 (*(*fMatSandiaMatrix)[i+1])[0]);
835 835
836 else result += integral. 836 else result += integral.Legendre10(this,
837 &G4InitXscPAI::PAId 837 &G4InitXscPAI::PAIdNdxCherenkov,
838 (*(*fMatSandiaMatrix)[i 838 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
839 } 839 }
840 fPAIphotonVector->PutValue(k,result); 840 fPAIphotonVector->PutValue(k,result);
841 } 841 }
842 // G4cout<<k<<"\t"<<result<<G4endl; 842 // G4cout<<k<<"\t"<<result<<G4endl;
843 } 843 }
844 return; 844 return;
845 } // end of IntegralCerenkov 845 } // end of IntegralCerenkov
846 846
847 ////////////////////////////////////////////// 847 ////////////////////////////////////////////////////////////////////////
848 // 848 //
849 // Calculation of the PAI Plasmon integral cro 849 // Calculation of the PAI Plasmon integral cross-section
850 // fIntegralPlasmon[1] = splasmon primary ioni 850 // fIntegralPlasmon[1] = splasmon primary ionisation, 1/cm
851 // and fIntegralPlasmon[0] = mean plasmon loss 851 // and fIntegralPlasmon[0] = mean plasmon loss per cm in keV/cm
852 852
853 void G4InitXscPAI::IntegralPlasmon(G4double bg 853 void G4InitXscPAI::IntegralPlasmon(G4double bg2, G4double Tmax)
854 { 854 {
855 G4int i,k,i1,i2; 855 G4int i,k,i1,i2;
856 G4double energy1, energy2, result = 0.; 856 G4double energy1, energy2, result = 0.;
857 857
858 fBetaGammaSq = bg2; 858 fBetaGammaSq = bg2;
859 fTmax = Tmax; 859 fTmax = Tmax;
860 860
861 delete fPAIelectronVector; << 861 if(fPAIelectronVector) delete fPAIelectronVector;
862 862
863 fPAIelectronVector = new G4PhysicsLogVector( 863 fPAIelectronVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
864 fPAIelectronVector->PutValue(fPAIbin-1,resul 864 fPAIelectronVector->PutValue(fPAIbin-1,result);
865 865
866 for( i = fIntervalNumber - 1; i >= 0; i-- ) 866 for( i = fIntervalNumber - 1; i >= 0; i-- )
867 { 867 {
868 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 868 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
869 } 869 }
870 if (i < 0) i = 0; // Tmax should be more tha 870 if (i < 0) i = 0; // Tmax should be more than
871 // first ionisation potent 871 // first ionisation potential
872 fIntervalTmax = i; 872 fIntervalTmax = i;
873 873
874 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 874 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
875 875
876 for( k = fPAIbin - 2; k >= 0; k-- ) 876 for( k = fPAIbin - 2; k >= 0; k-- )
877 { 877 {
878 energy1 = fPAIelectronVector->GetLowEdgeEn 878 energy1 = fPAIelectronVector->GetLowEdgeEnergy(k);
879 energy2 = fPAIelectronVector->GetLowEdgeEn 879 energy2 = fPAIelectronVector->GetLowEdgeEnergy(k+1);
880 880
881 for( i = fIntervalTmax; i >= 0; i-- ) 881 for( i = fIntervalTmax; i >= 0; i-- )
882 { 882 {
883 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 883 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
884 } 884 }
885 if(i < 0) i = 0; 885 if(i < 0) i = 0;
886 i2 = i; 886 i2 = i;
887 887
888 for( i = fIntervalTmax; i >= 0; i-- ) 888 for( i = fIntervalTmax; i >= 0; i-- )
889 { 889 {
890 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 890 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
891 } 891 }
892 if(i < 0) i = 0; 892 if(i < 0) i = 0;
893 i1 = i; 893 i1 = i;
894 894
895 if( i1 == i2 ) 895 if( i1 == i2 )
896 { 896 {
897 fCurrentInterval = i1; 897 fCurrentInterval = i1;
898 result += integral.Legendre10(this,&G4In 898 result += integral.Legendre10(this,&G4InitXscPAI::PAIdNdxPlasmon,
899 energy1,en 899 energy1,energy2);
900 fPAIelectronVector->PutValue(k,result); 900 fPAIelectronVector->PutValue(k,result);
901 } 901 }
902 else 902 else
903 { 903 {
904 for( i = i2; i >= i1; i-- ) 904 for( i = i2; i >= i1; i-- )
905 { 905 {
906 fCurrentInterval = i; 906 fCurrentInterval = i;
907 907
908 if( i==i2 ) result += integral. 908 if( i==i2 ) result += integral.Legendre10(this,
909 &G4InitXscPAI::PAId 909 &G4InitXscPAI::PAIdNdxPlasmon,
910 (*(*fMatSandiaMatri 910 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
911 911
912 else if( i == i1 ) result += integral.Legend 912 else if( i == i1 ) result += integral.Legendre10(this,
913 &G4InitXscPAI::PAId 913 &G4InitXscPAI::PAIdNdxPlasmon,energy1,
914 (*(*fMatSandiaMatri 914 (*(*fMatSandiaMatrix)[i+1])[0]);
915 915
916 else result += integral. 916 else result += integral.Legendre10(this,
917 &G4InitXscPAI::PAId 917 &G4InitXscPAI::PAIdNdxPlasmon,
918 (*(*fMatSandiaMatrix)[i 918 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
919 } 919 }
920 fPAIelectronVector->PutValue(k,result); 920 fPAIelectronVector->PutValue(k,result);
921 } 921 }
922 // G4cout<<k<<"\t"<<result<<G4endl; 922 // G4cout<<k<<"\t"<<result<<G4endl;
923 } 923 }
924 return; 924 return;
925 } // end of IntegralPlasmon 925 } // end of IntegralPlasmon
926 926
927 927
928 ////////////////////////////////////////////// 928 /////////////////////////////////////////////////////////////////////////
929 // 929 //
930 // 930 //
931 931
932 G4double G4InitXscPAI::GetPhotonLambda( G4doub 932 G4double G4InitXscPAI::GetPhotonLambda( G4double omega )
933 { 933 {
934 G4int i ; 934 G4int i ;
935 G4double omega2, omega3, omega4, a1, a2, a3, 935 G4double omega2, omega3, omega4, a1, a2, a3, a4, lambda ;
936 936
937 omega2 = omega*omega ; 937 omega2 = omega*omega ;
938 omega3 = omega2*omega ; 938 omega3 = omega2*omega ;
939 omega4 = omega2*omega2 ; 939 omega4 = omega2*omega2 ;
940 940
941 for(i = 0; i < fIntervalNumber;i++) 941 for(i = 0; i < fIntervalNumber;i++)
942 { 942 {
943 if( omega < (*(*fMatSandiaMatrix)[i])[0] ) 943 if( omega < (*(*fMatSandiaMatrix)[i])[0] ) break ;
944 } 944 }
945 if( i == 0 ) 945 if( i == 0 )
946 { 946 {
947 G4cout<<"Warning: energy in G4InitXscPAI:: 947 G4cout<<"Warning: energy in G4InitXscPAI::GetPhotonLambda < I1"<<G4endl;
948 } 948 }
949 else i-- ; 949 else i-- ;
950 950
951 a1 = (*(*fMatSandiaMatrix)[i])[1]; 951 a1 = (*(*fMatSandiaMatrix)[i])[1];
952 a2 = (*(*fMatSandiaMatrix)[i])[2]; 952 a2 = (*(*fMatSandiaMatrix)[i])[2];
953 a3 = (*(*fMatSandiaMatrix)[i])[3]; 953 a3 = (*(*fMatSandiaMatrix)[i])[3];
954 a4 = (*(*fMatSandiaMatrix)[i])[4]; 954 a4 = (*(*fMatSandiaMatrix)[i])[4];
955 955
956 lambda = 1./(a1/omega + a2/omega2 + a3/omega 956 lambda = 1./(a1/omega + a2/omega2 + a3/omega3 + a4/omega4);
957 957
958 return lambda ; 958 return lambda ;
959 } 959 }
960 960
961 ////////////////////////////////////////////// 961 /////////////////////////////////////////////////////////////////////////
962 // 962 //
963 // 963 //
964 964
965 ////////////////////////////////////////////// 965 /////////////////////////////////////////////////////////////////////////
966 // 966 //
967 // 967 //
968 968
969 G4double G4InitXscPAI::GetStepEnergyLoss( G4do 969 G4double G4InitXscPAI::GetStepEnergyLoss( G4double step )
970 { 970 {
971 G4double loss = 0.0 ; 971 G4double loss = 0.0 ;
972 loss *= step; 972 loss *= step;
973 973
974 return loss ; 974 return loss ;
975 } 975 }
976 976
977 ////////////////////////////////////////////// 977 /////////////////////////////////////////////////////////////////////////
978 // 978 //
979 // 979 //
980 980
981 G4double G4InitXscPAI::GetStepCerenkovLoss( G4 981 G4double G4InitXscPAI::GetStepCerenkovLoss( G4double step )
982 { 982 {
983 G4double loss = 0.0 ; 983 G4double loss = 0.0 ;
984 loss *= step; 984 loss *= step;
985 985
986 return loss ; 986 return loss ;
987 } 987 }
988 988
989 ////////////////////////////////////////////// 989 /////////////////////////////////////////////////////////////////////////
990 // 990 //
991 // 991 //
992 992
993 G4double G4InitXscPAI::GetStepPlasmonLoss( G4d 993 G4double G4InitXscPAI::GetStepPlasmonLoss( G4double step )
994 { 994 {
995 995
996 996
997 G4double loss = 0.0 ; 997 G4double loss = 0.0 ;
998 loss *= step; 998 loss *= step;
999 return loss ; 999 return loss ;
1000 } 1000 }
1001 1001
1002 1002
1003 // 1003 //
1004 // end of G4InitXscPAI implementation file 1004 // end of G4InitXscPAI implementation file
1005 // 1005 //
1006 ///////////////////////////////////////////// 1006 ////////////////////////////////////////////////////////////////////////////
1007 1007
1008 1008