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26 // 26 //
>> 27 // $Id: G4InitXscPAI.cc,v 1.9 2006/06/29 19:53:00 gunter Exp $
>> 28 // GEANT4 tag $Name: geant4-09-02 $
>> 29 //
27 // 30 //
28 // G4InitXscPAI.cc -- class implementation fil 31 // G4InitXscPAI.cc -- class implementation file
29 // 32 //
30 // GEANT 4 class implementation file 33 // GEANT 4 class implementation file
31 // 34 //
32 // For information related to this code, pleas 35 // For information related to this code, please, contact
33 // the Geant4 Collaboration. 36 // the Geant4 Collaboration.
34 // 37 //
35 // R&D: Vladimir.Grichine@cern.ch 38 // R&D: Vladimir.Grichine@cern.ch
36 // 39 //
37 // History: 40 // History:
38 // 41 //
39 42
40 43
41 44
42 #include "G4InitXscPAI.hh" 45 #include "G4InitXscPAI.hh"
43 46
44 #include "globals.hh" 47 #include "globals.hh"
45 #include "G4PhysicalConstants.hh" <<
46 #include "G4SystemOfUnits.hh" <<
47 #include "G4ios.hh" 48 #include "G4ios.hh"
48 #include "G4Poisson.hh" 49 #include "G4Poisson.hh"
49 #include "G4Integrator.hh" 50 #include "G4Integrator.hh"
50 #include "G4Material.hh" 51 #include "G4Material.hh"
51 #include "G4MaterialCutsCouple.hh" 52 #include "G4MaterialCutsCouple.hh"
52 #include "G4SandiaTable.hh" 53 #include "G4SandiaTable.hh"
53 54
54 55
55 56
56 // Local class constants 57 // Local class constants
57 58
58 const G4double G4InitXscPAI::fDelta = 0 59 const G4double G4InitXscPAI::fDelta = 0.005 ; // energy shift from interval border
59 const G4int G4InitXscPAI::fPAIbin = 1 60 const G4int G4InitXscPAI::fPAIbin = 100 ; // size of energy transfer vectors
60 const G4double G4InitXscPAI::fSolidDensity = 0 61 const G4double G4InitXscPAI::fSolidDensity = 0.05*g/cm3 ; // ~gas-solid border
61 62
62 ////////////////////////////////////////////// 63 //////////////////////////////////////////////////////////////////
63 // 64 //
64 // Constructor 65 // Constructor
65 // 66 //
66 67
67 using namespace std; 68 using namespace std;
68 69
69 G4InitXscPAI::G4InitXscPAI( const G4MaterialCu 70 G4InitXscPAI::G4InitXscPAI( const G4MaterialCutsCouple* matCC)
70 : fPAIxscVector(nullptr), << 71 : fPAIxscVector(NULL),
71 fPAIdEdxVector(nullptr), << 72 fPAIdEdxVector(NULL),
72 fPAIphotonVector(nullptr), << 73 fPAIphotonVector(NULL),
73 fPAIelectronVector(nullptr), << 74 fPAIelectronVector(NULL),
74 fChCosSqVector(nullptr), << 75 fChCosSqVector(NULL),
75 fChWidthVector(nullptr) << 76 fChWidthVector(NULL)
76 { 77 {
77 G4int i, j, matIndex; 78 G4int i, j, matIndex;
78 79
79 fDensity = matCC->GetMaterial()->Get 80 fDensity = matCC->GetMaterial()->GetDensity();
80 fElectronDensity = matCC->GetMaterial()->Get 81 fElectronDensity = matCC->GetMaterial()->GetElectronDensity();
81 matIndex = (G4int)matCC->GetMaterial << 82 matIndex = matCC->GetMaterial()->GetIndex();
82 83
83 fSandia = new G4SandiaTable(matInde 84 fSandia = new G4SandiaTable(matIndex);
84 fIntervalNumber = fSandia->GetMaxInterval() 85 fIntervalNumber = fSandia->GetMaxInterval()-1;
85 86
86 fMatSandiaMatrix = new G4OrderedTable(); 87 fMatSandiaMatrix = new G4OrderedTable();
87 88
88 for (i = 0; i < fIntervalNumber; ++i) << 89 for (i = 0; i < fIntervalNumber; i++)
89 { 90 {
90 fMatSandiaMatrix->push_back(new G4DataVect 91 fMatSandiaMatrix->push_back(new G4DataVector(5,0.));
91 } 92 }
92 for (i = 0; i < fIntervalNumber; ++i) << 93 for (G4int i = 0; i < fIntervalNumber; i++)
93 { 94 {
94 (*(*fMatSandiaMatrix)[i])[0] = fSandia->Ge 95 (*(*fMatSandiaMatrix)[i])[0] = fSandia->GetSandiaMatTable(i,0);
95 96
96 for(j = 1; j < 5 ; ++j) << 97 for(j = 1; j < 5 ; j++)
97 { 98 {
98 (*(*fMatSandiaMatrix)[i])[j] = fSandia-> 99 (*(*fMatSandiaMatrix)[i])[j] = fSandia->GetSandiaMatTable(i,j)*fDensity;
99 } 100 }
100 } 101 }
101 KillCloseIntervals(); 102 KillCloseIntervals();
102 Normalisation(); 103 Normalisation();
103 fBetaGammaSq = fTmax = 0.0; << 104
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; <<
123 delete fMatSandiaMatrix; <<
124 } 122 }
125 123
126 ////////////////////////////////////////////// 124 ////////////////////////////////////////////////////////////////////////
127 // 125 //
128 // Kill close intervals, recalculate fInterval 126 // Kill close intervals, recalculate fIntervalNumber
129 127
130 void G4InitXscPAI::KillCloseIntervals() 128 void G4InitXscPAI::KillCloseIntervals()
131 { 129 {
132 G4int i, j, k; 130 G4int i, j, k;
133 G4double energy1, energy2; 131 G4double energy1, energy2;
134 132
135 for( i = 0 ; i < fIntervalNumber - 1 ; i++ ) 133 for( i = 0 ; i < fIntervalNumber - 1 ; i++ )
136 { 134 {
137 energy1 = (*(*fMatSandiaMatrix)[i])[0]; 135 energy1 = (*(*fMatSandiaMatrix)[i])[0];
138 energy2 = (*(*fMatSandiaMatrix)[i+1])[0]; 136 energy2 = (*(*fMatSandiaMatrix)[i+1])[0];
139 137
140 if( energy2 - energy1 > 1.5*fDelta*(energy 138 if( energy2 - energy1 > 1.5*fDelta*(energy1 + energy2) ) continue ;
141 else 139 else
142 { 140 {
143 for(j = i; j < fIntervalNumber-1; j++) 141 for(j = i; j < fIntervalNumber-1; j++)
144 { 142 {
145 for( k = 0; k < 5; k++ ) 143 for( k = 0; k < 5; k++ )
146 { 144 {
147 (*(*fMatSandiaMatrix)[j])[k] = (*(*f 145 (*(*fMatSandiaMatrix)[j])[k] = (*(*fMatSandiaMatrix)[j+1])[k];
148 } 146 }
149 } 147 }
150 fIntervalNumber-- ; 148 fIntervalNumber-- ;
151 i-- ; 149 i-- ;
152 } 150 }
153 } 151 }
154 152
155 } 153 }
156 154
157 ////////////////////////////////////////////// 155 ////////////////////////////////////////////////////////////////////////
158 // 156 //
159 // Kill close intervals, recalculate fInterval 157 // Kill close intervals, recalculate fIntervalNumber
160 158
161 void G4InitXscPAI::Normalisation() 159 void G4InitXscPAI::Normalisation()
162 { 160 {
163 G4int i, j; 161 G4int i, j;
164 G4double energy1, energy2, /*delta,*/ cof; / << 162 G4double energy1, energy2, delta, cof; // , shift;
165 163
166 energy1 = (*(*fMatSandiaMatrix)[fIntervalNum 164 energy1 = (*(*fMatSandiaMatrix)[fIntervalNumber-1])[0];
167 energy2 = 2.*(*(*fMatSandiaMatrix)[fInterval 165 energy2 = 2.*(*(*fMatSandiaMatrix)[fIntervalNumber-1])[0];
168 166
169 167
170 cof = RutherfordIntegral(fIntervalNumber-1,e 168 cof = RutherfordIntegral(fIntervalNumber-1,energy1,energy2);
171 169
172 for( i = fIntervalNumber-2; i >= 0; i-- ) 170 for( i = fIntervalNumber-2; i >= 0; i-- )
173 { 171 {
174 energy1 = (*(*fMatSandiaMatrix)[i])[0]; 172 energy1 = (*(*fMatSandiaMatrix)[i])[0];
175 energy2 = (*(*fMatSandiaMatrix)[i+1])[0]; 173 energy2 = (*(*fMatSandiaMatrix)[i+1])[0];
176 174
177 cof += RutherfordIntegral(i,energy1,energy 175 cof += RutherfordIntegral(i,energy1,energy2);
178 // G4cout<<"norm. cof = "<<cof<<G4endl; 176 // G4cout<<"norm. cof = "<<cof<<G4endl;
179 } 177 }
180 fNormalizationCof = 2*pi*pi*hbarc*hbarc*fin 178 fNormalizationCof = 2*pi*pi*hbarc*hbarc*fine_structure_const/electron_mass_c2 ;
181 fNormalizationCof *= fElectronDensity; 179 fNormalizationCof *= fElectronDensity;
182 //delta = fNormalizationCof - cof; << 180 delta = fNormalizationCof - cof;
183 fNormalizationCof /= cof; 181 fNormalizationCof /= cof;
184 // G4cout<<"G4InitXscPAI::fNormalizationCof 182 // G4cout<<"G4InitXscPAI::fNormalizationCof/cof = "<<fNormalizationCof
185 // <<"; at delta ="<<delta<<G4endl ; 183 // <<"; at delta ="<<delta<<G4endl ;
186 184
187 for (i = 0; i < fIntervalNumber; i++) // ren << 185 for (G4int i = 0; i < fIntervalNumber; i++) // renormalisation on QM sum rule
188 { 186 {
189 for(j = 1; j < 5 ; j++) 187 for(j = 1; j < 5 ; j++)
190 { 188 {
191 (*(*fMatSandiaMatrix)[i])[j] *= fNormali 189 (*(*fMatSandiaMatrix)[i])[j] *= fNormalizationCof;
192 } 190 }
193 } 191 }
194 /* 192 /*
195 if(delta > 0) // shift the first energy inte 193 if(delta > 0) // shift the first energy interval
196 { 194 {
197 for(i=1;i<100;i++) 195 for(i=1;i<100;i++)
198 { 196 {
199 energy1 = (1.-i/100.)*(*(*fMatSandiaMatr 197 energy1 = (1.-i/100.)*(*(*fMatSandiaMatrix)[0])[0];
200 energy2 = (*(*fMatSandiaMatrix)[0])[0]; 198 energy2 = (*(*fMatSandiaMatrix)[0])[0];
201 shift = RutherfordIntegral(0,energy1,e 199 shift = RutherfordIntegral(0,energy1,energy2);
202 G4cout<<shift<<"\t"; 200 G4cout<<shift<<"\t";
203 if(shift >= delta) break; 201 if(shift >= delta) break;
204 } 202 }
205 (*(*fMatSandiaMatrix)[0])[0] = energy1; 203 (*(*fMatSandiaMatrix)[0])[0] = energy1;
206 cof += shift; 204 cof += shift;
207 } 205 }
208 else if(delta < 0) 206 else if(delta < 0)
209 { 207 {
210 for(i=1;i<100;i++) 208 for(i=1;i<100;i++)
211 { 209 {
212 energy1 = (*(*fMatSandiaMatrix)[0])[0]; 210 energy1 = (*(*fMatSandiaMatrix)[0])[0];
213 energy2 = (*(*fMatSandiaMatrix)[0])[0] + 211 energy2 = (*(*fMatSandiaMatrix)[0])[0] +
214 ( (*(*fMatSandiaMatrix)[0])[0] - 212 ( (*(*fMatSandiaMatrix)[0])[0] - (*(*fMatSandiaMatrix)[0])[0] )*i/100.;
215 shift = RutherfordIntegral(0,energy1,e 213 shift = RutherfordIntegral(0,energy1,energy2);
216 if( shift >= std::abs(delta) ) break; 214 if( shift >= std::abs(delta) ) break;
217 } 215 }
218 (*(*fMatSandiaMatrix)[0])[0] = energy2; 216 (*(*fMatSandiaMatrix)[0])[0] = energy2;
219 cof -= shift; 217 cof -= shift;
220 } 218 }
221 G4cout<<G4cout<<"G4InitXscPAI::fNormalizatio 219 G4cout<<G4cout<<"G4InitXscPAI::fNormalizationCof/cof = "<<fNormalizationCof/cof
222 <<"; at delta ="<<delta<<" and i = " 220 <<"; at delta ="<<delta<<" and i = "<<i<<G4endl ;
223 */ 221 */
224 } 222 }
225 223
>> 224
>> 225
>> 226
>> 227
226 ////////////////////////////////////////////// 228 ////////////////////////////////////////////////////////////////////
227 // 229 //
228 // Integration over electrons that could be co 230 // Integration over electrons that could be considered
229 // quasi-free at energy transfer of interest 231 // quasi-free at energy transfer of interest
230 232
231 G4double G4InitXscPAI::RutherfordIntegral( G4i 233 G4double G4InitXscPAI::RutherfordIntegral( G4int k,
232 G4double x1, 234 G4double x1,
233 G4double x2 ) 235 G4double x2 )
234 { 236 {
235 G4double c1, c2, c3, a1, a2, a3, a4 ; 237 G4double c1, c2, c3, a1, a2, a3, a4 ;
236 238
237 a1 = (*(*fMatSandiaMatrix)[k])[1]; 239 a1 = (*(*fMatSandiaMatrix)[k])[1];
238 a2 = (*(*fMatSandiaMatrix)[k])[2]; 240 a2 = (*(*fMatSandiaMatrix)[k])[2];
239 a3 = (*(*fMatSandiaMatrix)[k])[3]; 241 a3 = (*(*fMatSandiaMatrix)[k])[3];
240 a4 = (*(*fMatSandiaMatrix)[k])[4]; 242 a4 = (*(*fMatSandiaMatrix)[k])[4];
241 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<< 243 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<x2<<G4endl;
242 c1 = (x2 - x1)/x1/x2 ; 244 c1 = (x2 - x1)/x1/x2 ;
243 c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2 ; 245 c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2 ;
244 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x 246 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ;
245 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "< 247 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<<c2<<"; "<<"c3 = "<<c3<<G4endl;
246 248
247 return a1*log(x2/x1) + a2*c1 + a3*c2/2 + a 249 return a1*log(x2/x1) + a2*c1 + a3*c2/2 + a4*c3/3 ;
248 250
249 } // end of RutherfordIntegral 251 } // end of RutherfordIntegral
250 252
251 ////////////////////////////////////////////// 253 ///////////////////////////////////////////////////////////////
252 // 254 //
253 // Integrate photo-absorption cross-section f 255 // Integrate photo-absorption cross-section from I1 up to omega
254 256
255 G4double G4InitXscPAI::IntegralTerm(G4double o 257 G4double G4InitXscPAI::IntegralTerm(G4double omega)
256 { 258 {
257 G4int i; 259 G4int i;
258 G4double energy1, energy2, result = 0.; 260 G4double energy1, energy2, result = 0.;
259 261
260 for( i = 0; i <= fIntervalTmax; i++ ) 262 for( i = 0; i <= fIntervalTmax; i++ )
261 { 263 {
262 if(i == fIntervalTmax) 264 if(i == fIntervalTmax)
263 { 265 {
264 energy1 = (*(*fMatSandiaMatrix)[i])[0]; 266 energy1 = (*(*fMatSandiaMatrix)[i])[0];
265 result += RutherfordIntegral(i,energy1,o 267 result += RutherfordIntegral(i,energy1,omega);
266 } 268 }
267 else 269 else
268 { 270 {
269 if( omega <= (*(*fMatSandiaMatrix)[i+1]) 271 if( omega <= (*(*fMatSandiaMatrix)[i+1])[0])
270 { 272 {
271 energy1 = (*(*fMatSandiaMatrix)[i])[0] 273 energy1 = (*(*fMatSandiaMatrix)[i])[0];
272 result += RutherfordIntegral(i,energy1 274 result += RutherfordIntegral(i,energy1,omega);
273 break; 275 break;
274 } 276 }
275 else 277 else
276 { 278 {
277 energy1 = (*(*fMatSandiaMatrix)[i])[0] 279 energy1 = (*(*fMatSandiaMatrix)[i])[0];
278 energy2 = (*(*fMatSandiaMatrix)[i+1])[ 280 energy2 = (*(*fMatSandiaMatrix)[i+1])[0];
279 result += RutherfordIntegral(i,energy1 281 result += RutherfordIntegral(i,energy1,energy2);
280 } 282 }
281 } 283 }
282 // G4cout<<"IntegralTerm<<"("<<omega<<")"< 284 // G4cout<<"IntegralTerm<<"("<<omega<<")"<<" = "<<result<<G4endl;
283 } 285 }
284 return result; 286 return result;
285 } 287 }
286 288
287 289
288 ////////////////////////////////////////////// 290 ////////////////////////////////////////////////////////////////
289 // 291 //
290 // Imaginary part of dielectric constant 292 // Imaginary part of dielectric constant
291 // (G4int k - interval number, G4double en1 - 293 // (G4int k - interval number, G4double en1 - energy point)
292 294
293 G4double G4InitXscPAI::ImPartDielectricConst( 295 G4double G4InitXscPAI::ImPartDielectricConst( G4int k ,
294 G4double energy1 296 G4double energy1 )
295 { 297 {
296 G4double energy2,energy3,energy4,a1,a2,a3,a 298 G4double energy2,energy3,energy4,a1,a2,a3,a4,result;
297 299
298 a1 = (*(*fMatSandiaMatrix)[k])[1]; 300 a1 = (*(*fMatSandiaMatrix)[k])[1];
299 a2 = (*(*fMatSandiaMatrix)[k])[2]; 301 a2 = (*(*fMatSandiaMatrix)[k])[2];
300 a3 = (*(*fMatSandiaMatrix)[k])[3]; 302 a3 = (*(*fMatSandiaMatrix)[k])[3];
301 a4 = (*(*fMatSandiaMatrix)[k])[4]; 303 a4 = (*(*fMatSandiaMatrix)[k])[4];
302 304
303 energy2 = energy1*energy1; 305 energy2 = energy1*energy1;
304 energy3 = energy2*energy1; 306 energy3 = energy2*energy1;
305 energy4 = energy3*energy1; 307 energy4 = energy3*energy1;
306 308
307 result = a1/energy1+a2/energy2+a3/energy3+ 309 result = a1/energy1+a2/energy2+a3/energy3+a4/energy4 ;
308 result *= hbarc/energy1 ; 310 result *= hbarc/energy1 ;
309 311
310 return result ; 312 return result ;
311 313
312 } // end of ImPartDielectricConst 314 } // end of ImPartDielectricConst
313 315
314 ////////////////////////////////////////////// 316 ////////////////////////////////////////////////////////////////
315 // 317 //
316 // Modulus squared of dielectric constant 318 // Modulus squared of dielectric constant
317 // (G4int k - interval number, G4double omega 319 // (G4int k - interval number, G4double omega - energy point)
318 320
319 G4double G4InitXscPAI::ModuleSqDielectricConst 321 G4double G4InitXscPAI::ModuleSqDielectricConst( G4int k ,
320 G4double omega ) 322 G4double omega )
321 { 323 {
322 G4double eIm2, eRe2, result; 324 G4double eIm2, eRe2, result;
323 325
324 result = ImPartDielectricConst(k,omega); 326 result = ImPartDielectricConst(k,omega);
325 eIm2 = result*result; 327 eIm2 = result*result;
326 328
327 result = RePartDielectricConst(omega); 329 result = RePartDielectricConst(omega);
328 eRe2 = result*result; 330 eRe2 = result*result;
329 331
330 result = eIm2 + eRe2; 332 result = eIm2 + eRe2;
331 333
332 return result ; 334 return result ;
333 } 335 }
334 336
335 337
336 ////////////////////////////////////////////// 338 //////////////////////////////////////////////////////////////////////////////
337 // 339 //
338 // Real part of dielectric constant minus unit 340 // Real part of dielectric constant minus unit: epsilon_1 - 1
339 // (G4double enb - energy point) 341 // (G4double enb - energy point)
340 // 342 //
341 343
342 G4double G4InitXscPAI::RePartDielectricConst(G 344 G4double G4InitXscPAI::RePartDielectricConst(G4double enb)
343 { 345 {
344 G4int i; 346 G4int i;
345 G4double x0, x02, x03, x04, x05, x1, x2, a1 347 G4double x0, x02, x03, x04, x05, x1, x2, a1,a2,a3,a4,xx1 ,xx2 , xx12,
346 c1, c2, c3, cof1, cof2, xln1, xln2 348 c1, c2, c3, cof1, cof2, xln1, xln2, xln3, result ;
347 349
348 x0 = enb ; 350 x0 = enb ;
349 result = 0 ; 351 result = 0 ;
350 352
351 for( i = 0; i < fIntervalNumber-1; i++) 353 for( i = 0; i < fIntervalNumber-1; i++)
352 { 354 {
353 x1 = (*(*fMatSandiaMatrix)[i])[0]; 355 x1 = (*(*fMatSandiaMatrix)[i])[0];
354 x2 = (*(*fMatSandiaMatrix)[i+1])[0] ; 356 x2 = (*(*fMatSandiaMatrix)[i+1])[0] ;
355 357
356 a1 = (*(*fMatSandiaMatrix)[i])[1]; 358 a1 = (*(*fMatSandiaMatrix)[i])[1];
357 a2 = (*(*fMatSandiaMatrix)[i])[2]; 359 a2 = (*(*fMatSandiaMatrix)[i])[2];
358 a3 = (*(*fMatSandiaMatrix)[i])[3]; 360 a3 = (*(*fMatSandiaMatrix)[i])[3];
359 a4 = (*(*fMatSandiaMatrix)[i])[4]; 361 a4 = (*(*fMatSandiaMatrix)[i])[4];
360 362
361 if( std::abs(x0-x1) < 0.5*(x0+x1)*fDelta 363 if( std::abs(x0-x1) < 0.5*(x0+x1)*fDelta )
362 { 364 {
363 if(x0 >= x1) x0 = x1*(1+fDelta); 365 if(x0 >= x1) x0 = x1*(1+fDelta);
364 else x0 = x1*(1-fDelta); 366 else x0 = x1*(1-fDelta);
365 } 367 }
366 if( std::abs(x0-x2) < 0.5*(x0+x2)*fDelta 368 if( std::abs(x0-x2) < 0.5*(x0+x2)*fDelta )
367 { 369 {
368 if(x0 >= x2) x0 = x2*(1+fDelta); 370 if(x0 >= x2) x0 = x2*(1+fDelta);
369 else x0 = x2*(1-fDelta); 371 else x0 = x2*(1-fDelta);
370 } 372 }
371 xx1 = x1 - x0 ; 373 xx1 = x1 - x0 ;
372 xx2 = x2 - x0 ; 374 xx2 = x2 - x0 ;
373 xx12 = xx2/xx1 ; 375 xx12 = xx2/xx1 ;
374 376
375 if( xx12 < 0 ) xx12 = -xx12; 377 if( xx12 < 0 ) xx12 = -xx12;
376 378
377 xln1 = log(x2/x1) ; 379 xln1 = log(x2/x1) ;
378 xln2 = log(xx12) ; 380 xln2 = log(xx12) ;
379 xln3 = log((x2 + x0)/(x1 + x0)) ; 381 xln3 = log((x2 + x0)/(x1 + x0)) ;
380 382
381 x02 = x0*x0 ; 383 x02 = x0*x0 ;
382 x03 = x02*x0 ; 384 x03 = x02*x0 ;
383 x04 = x03*x0 ; 385 x04 = x03*x0 ;
384 x05 = x04*x0; 386 x05 = x04*x0;
385 387
386 c1 = (x2 - x1)/x1/x2 ; 388 c1 = (x2 - x1)/x1/x2 ;
387 c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2 ; 389 c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2 ;
388 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x 390 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ;
389 391
390 result -= (a1/x02 + a3/x04)*xln1 ; 392 result -= (a1/x02 + a3/x04)*xln1 ;
391 result -= (a2/x02 + a4/x04)*c1 ; 393 result -= (a2/x02 + a4/x04)*c1 ;
392 result -= a3*c2/2/x02 ; 394 result -= a3*c2/2/x02 ;
393 result -= a4*c3/3/x02 ; 395 result -= a4*c3/3/x02 ;
394 396
395 cof1 = a1/x02 + a3/x04 ; 397 cof1 = a1/x02 + a3/x04 ;
396 cof2 = a2/x03 + a4/x05 ; 398 cof2 = a2/x03 + a4/x05 ;
397 399
398 result += 0.5*(cof1 +cof2)*xln2 ; 400 result += 0.5*(cof1 +cof2)*xln2 ;
399 result += 0.5*(cof1 - cof2)*xln3 ; 401 result += 0.5*(cof1 - cof2)*xln3 ;
400 } 402 }
401 result *= 2*hbarc/pi ; 403 result *= 2*hbarc/pi ;
402 404
403 return result ; 405 return result ;
404 406
405 } // end of RePartDielectricConst 407 } // end of RePartDielectricConst
406 408
407 ////////////////////////////////////////////// 409 //////////////////////////////////////////////////////////////////////
408 // 410 //
409 // PAI differential cross-section in terms of 411 // PAI differential cross-section in terms of
410 // simplified Allison's equation 412 // simplified Allison's equation
411 // 413 //
412 414
413 G4double G4InitXscPAI::DifPAIxSection( G4doubl 415 G4double G4InitXscPAI::DifPAIxSection( G4double omega )
414 { 416 {
415 G4int i = fCurrentInterval; 417 G4int i = fCurrentInterval;
416 G4double betaGammaSq = fBetaGammaSq; 418 G4double betaGammaSq = fBetaGammaSq;
417 G4double integralTerm = IntegralTerm(omega); 419 G4double integralTerm = IntegralTerm(omega);
418 G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,res 420 G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,result ;
419 G4double epsilonRe = RePartDielectricConst(o 421 G4double epsilonRe = RePartDielectricConst(omega);
420 G4double epsilonIm = ImPartDielectricConst(i 422 G4double epsilonIm = ImPartDielectricConst(i,omega);
421 G4double be4 ; 423 G4double be4 ;
422 static const G4double betaBohr2 = fine_struc << 424 G4double betaBohr2 = fine_structure_const*fine_structure_const ;
423 static const G4double betaBohr4 = betaBohr2* << 425 G4double betaBohr4 = betaBohr2*betaBohr2*4.0 ;
424 be2 = betaGammaSq/(1 + betaGammaSq) ; 426 be2 = betaGammaSq/(1 + betaGammaSq) ;
425 be4 = be2*be2 ; 427 be4 = be2*be2 ;
426 428
427 cof = 1 ; 429 cof = 1 ;
428 x1 = log(2*electron_mass_c2/omega) ; 430 x1 = log(2*electron_mass_c2/omega) ;
429 431
430 if( betaGammaSq < 0.01 ) x2 = log(be2) ; 432 if( betaGammaSq < 0.01 ) x2 = log(be2) ;
431 else 433 else
432 { 434 {
433 x2 = -log( (1/betaGammaSq - epsilonRe)* 435 x2 = -log( (1/betaGammaSq - epsilonRe)*
434 (1/betaGammaSq - epsilonRe) + 436 (1/betaGammaSq - epsilonRe) +
435 epsilonIm*epsilonIm )/2 ; 437 epsilonIm*epsilonIm )/2 ;
436 } 438 }
437 if( epsilonIm == 0.0 || betaGammaSq < 0.01 439 if( epsilonIm == 0.0 || betaGammaSq < 0.01 )
438 { 440 {
439 x6=0 ; 441 x6=0 ;
440 } 442 }
441 else 443 else
442 { 444 {
443 x3 = -epsilonRe + 1/betaGammaSq ; 445 x3 = -epsilonRe + 1/betaGammaSq ;
444 x5 = -1 - epsilonRe + be2*((1 +epsilonRe) 446 x5 = -1 - epsilonRe + be2*((1 +epsilonRe)*(1 + epsilonRe) +
445 epsilonIm*epsilonIm) ; 447 epsilonIm*epsilonIm) ;
446 448
447 x7 = atan2(epsilonIm,x3) ; 449 x7 = atan2(epsilonIm,x3) ;
448 x6 = x5 * x7 ; 450 x6 = x5 * x7 ;
449 } 451 }
450 // if(fImPartDielectricConst[i] == 0) x6 = 452 // if(fImPartDielectricConst[i] == 0) x6 = 0 ;
451 453
452 x4 = ((x1 + x2)*epsilonIm + x6)/hbarc ; 454 x4 = ((x1 + x2)*epsilonIm + x6)/hbarc ;
453 // if( x4 < 0.0 ) x4 = 0.0 ; 455 // if( x4 < 0.0 ) x4 = 0.0 ;
454 x8 = (1 + epsilonRe)*(1 + epsilonRe) + 456 x8 = (1 + epsilonRe)*(1 + epsilonRe) +
455 epsilonIm*epsilonIm; 457 epsilonIm*epsilonIm;
456 458
457 result = (x4 + cof*integralTerm/omega/omega 459 result = (x4 + cof*integralTerm/omega/omega) ;
458 if(result < 1.0e-8) result = 1.0e-8 ; 460 if(result < 1.0e-8) result = 1.0e-8 ;
459 result *= fine_structure_const/be2/pi ; 461 result *= fine_structure_const/be2/pi ;
460 // result *= (1-exp(-beta/betaBohr))*(1-e 462 // result *= (1-exp(-beta/betaBohr))*(1-exp(-beta/betaBohr)) ;
461 // result *= (1-exp(-be2/betaBohr2)) ; 463 // result *= (1-exp(-be2/betaBohr2)) ;
462 result *= (1-exp(-be4/betaBohr4)) ; 464 result *= (1-exp(-be4/betaBohr4)) ;
463 if(fDensity >= fSolidDensity) 465 if(fDensity >= fSolidDensity)
464 { 466 {
465 result /= x8 ; 467 result /= x8 ;
466 } 468 }
467 return result ; 469 return result ;
468 470
469 } // end of DifPAIxSection 471 } // end of DifPAIxSection
470 472
471 ////////////////////////////////////////////// 473 //////////////////////////////////////////////////////////////////////
472 // 474 //
473 // Differential PAI dEdx(omega)=omega*dNdx(ome 475 // Differential PAI dEdx(omega)=omega*dNdx(omega)
474 // 476 //
475 477
476 G4double G4InitXscPAI::DifPAIdEdx( G4double om 478 G4double G4InitXscPAI::DifPAIdEdx( G4double omega )
477 { 479 {
478 G4double dEdx = omega*DifPAIxSection(omega); 480 G4double dEdx = omega*DifPAIxSection(omega);
479 return dEdx; 481 return dEdx;
480 } 482 }
481 483
482 ////////////////////////////////////////////// 484 //////////////////////////////////////////////////////////////////////////
483 // 485 //
484 // Calculation od dN/dx of collisions with cre 486 // Calculation od dN/dx of collisions with creation of Cerenkov pseudo-photons
485 487
486 G4double G4InitXscPAI::PAIdNdxCherenkov( G4dou 488 G4double G4InitXscPAI::PAIdNdxCherenkov( G4double omega )
487 { 489 {
488 G4int i = fCurrentInterval; 490 G4int i = fCurrentInterval;
489 G4double betaGammaSq = fBetaGammaSq; 491 G4double betaGammaSq = fBetaGammaSq;
490 G4double epsilonRe = RePartDielectricConst(o 492 G4double epsilonRe = RePartDielectricConst(omega);
491 G4double epsilonIm = ImPartDielectricConst(i 493 G4double epsilonIm = ImPartDielectricConst(i,omega);
492 494
493 G4double /*cof,*/ logarithm, x3, x5, argumen << 495 G4double cof, logarithm, x3, x5, argument, modul2, dNdxC ;
494 G4double be2, be4; << 496 G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr ;
495 497
496 //cof = 1.0 ; << 498 cof = 1.0 ;
497 static const G4double cofBetaBohr = 4.0 ; << 499 cofBetaBohr = 4.0 ;
498 static const G4double betaBohr2 = fine_str << 500 betaBohr2 = fine_structure_const*fine_structure_const ;
499 static const G4double betaBohr4 = betaBohr << 501 betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ;
500 502
501 be2 = betaGammaSq/(1 + betaGammaSq) ; 503 be2 = betaGammaSq/(1 + betaGammaSq) ;
502 be4 = be2*be2 ; 504 be4 = be2*be2 ;
503 505
504 if( betaGammaSq < 0.01 ) logarithm = log(1. 506 if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq) ; // 0.0 ;
505 else 507 else
506 { 508 {
507 logarithm = -log( (1/betaGammaSq - epsil 509 logarithm = -log( (1/betaGammaSq - epsilonRe)*
508 (1/betaGammaSq - epsilonRe) 510 (1/betaGammaSq - epsilonRe) +
509 epsilonIm*epsilonIm )*0.5 ; 511 epsilonIm*epsilonIm )*0.5 ;
510 logarithm += log(1+1.0/betaGammaSq) ; 512 logarithm += log(1+1.0/betaGammaSq) ;
511 } 513 }
512 514
513 if( epsilonIm == 0.0 || betaGammaSq < 0.01 515 if( epsilonIm == 0.0 || betaGammaSq < 0.01 )
514 { 516 {
515 argument = 0.0 ; 517 argument = 0.0 ;
516 } 518 }
517 else 519 else
518 { 520 {
519 x3 = -epsilonRe + 1.0/betaGammaSq ; 521 x3 = -epsilonRe + 1.0/betaGammaSq ;
520 x5 = -1.0 - epsilonRe + 522 x5 = -1.0 - epsilonRe +
521 be2*((1.0 +epsilonRe)*(1.0 + epsilon 523 be2*((1.0 +epsilonRe)*(1.0 + epsilonRe) +
522 epsilonIm*epsilonIm) ; 524 epsilonIm*epsilonIm) ;
523 if( x3 == 0.0 ) argument = 0.5*pi; 525 if( x3 == 0.0 ) argument = 0.5*pi;
524 else argument = atan2(epsilonI 526 else argument = atan2(epsilonIm,x3) ;
525 argument *= x5 ; 527 argument *= x5 ;
526 } 528 }
527 dNdxC = ( logarithm*epsilonIm + argument )/ 529 dNdxC = ( logarithm*epsilonIm + argument )/hbarc ;
528 530
529 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8 ; 531 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8 ;
530 532
531 dNdxC *= fine_structure_const/be2/pi ; 533 dNdxC *= fine_structure_const/be2/pi ;
532 534
533 dNdxC *= (1-exp(-be4/betaBohr4)) ; 535 dNdxC *= (1-exp(-be4/betaBohr4)) ;
534 536
535 if(fDensity >= fSolidDensity) 537 if(fDensity >= fSolidDensity)
536 { 538 {
537 modul2 = (1.0 + epsilonRe)*(1.0 + epsilo 539 modul2 = (1.0 + epsilonRe)*(1.0 + epsilonRe) +
538 epsilonIm*epsilonIm; 540 epsilonIm*epsilonIm;
539 dNdxC /= modul2 ; 541 dNdxC /= modul2 ;
540 } 542 }
541 return dNdxC ; 543 return dNdxC ;
542 544
543 } // end of PAIdNdxCerenkov 545 } // end of PAIdNdxCerenkov
544 546
545 ////////////////////////////////////////////// 547 //////////////////////////////////////////////////////////////////////////
546 // 548 //
547 // Calculation od dN/dx of collisions with cre 549 // Calculation od dN/dx of collisions with creation of longitudinal EM
548 // excitations (plasmons, delta-electrons) 550 // excitations (plasmons, delta-electrons)
549 551
550 G4double G4InitXscPAI::PAIdNdxPlasmon( G4doubl 552 G4double G4InitXscPAI::PAIdNdxPlasmon( G4double omega )
551 { 553 {
552 G4int i = fCurrentInterval; 554 G4int i = fCurrentInterval;
553 G4double betaGammaSq = fBetaGammaSq; 555 G4double betaGammaSq = fBetaGammaSq;
554 G4double integralTerm = IntegralTerm(omega); 556 G4double integralTerm = IntegralTerm(omega);
555 G4double epsilonRe = RePartDielectricConst(o 557 G4double epsilonRe = RePartDielectricConst(omega);
556 G4double epsilonIm = ImPartDielectricConst(i 558 G4double epsilonIm = ImPartDielectricConst(i,omega);
557 559
558 G4double cof, resonance, modul2, dNdxP ; 560 G4double cof, resonance, modul2, dNdxP ;
559 G4double be2, be4; << 561 G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr ;
560 562
561 cof = 1 ; 563 cof = 1 ;
562 static const G4double cofBetaBohr = 4.0 ; << 564 cofBetaBohr = 4.0 ;
563 static const G4double betaBohr2 = fine_st << 565 betaBohr2 = fine_structure_const*fine_structure_const ;
564 static const G4double betaBohr4 = betaBoh << 566 betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ;
565 567
566 be2 = betaGammaSq/(1 + betaGammaSq) ; 568 be2 = betaGammaSq/(1 + betaGammaSq) ;
567 be4 = be2*be2 ; 569 be4 = be2*be2 ;
568 570
569 resonance = log(2*electron_mass_c2*be2/ome 571 resonance = log(2*electron_mass_c2*be2/omega) ;
570 resonance *= epsilonIm/hbarc ; 572 resonance *= epsilonIm/hbarc ;
571 573
572 574
573 dNdxP = ( resonance + cof*integralTerm/omeg 575 dNdxP = ( resonance + cof*integralTerm/omega/omega ) ;
574 576
575 if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8 ; 577 if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8 ;
576 578
577 dNdxP *= fine_structure_const/be2/pi ; 579 dNdxP *= fine_structure_const/be2/pi ;
578 dNdxP *= (1-exp(-be4/betaBohr4)) ; 580 dNdxP *= (1-exp(-be4/betaBohr4)) ;
579 581
580 if( fDensity >= fSolidDensity ) 582 if( fDensity >= fSolidDensity )
581 { 583 {
582 modul2 = (1 + epsilonRe)*(1 + epsilonRe) 584 modul2 = (1 + epsilonRe)*(1 + epsilonRe) +
583 epsilonIm*epsilonIm; 585 epsilonIm*epsilonIm;
584 dNdxP /= modul2 ; 586 dNdxP /= modul2 ;
585 } 587 }
586 return dNdxP ; 588 return dNdxP ;
587 589
588 } // end of PAIdNdxPlasmon 590 } // end of PAIdNdxPlasmon
589 591
590 ////////////////////////////////////////////// 592 ////////////////////////////////////////////////////////////////////////
591 // 593 //
592 // Calculation of the PAI integral cross-secti 594 // Calculation of the PAI integral cross-section
593 // = specific primary ionisation, 1/cm 595 // = specific primary ionisation, 1/cm
594 // 596 //
595 597
596 void G4InitXscPAI::IntegralPAIxSection(G4doubl 598 void G4InitXscPAI::IntegralPAIxSection(G4double bg2, G4double Tmax)
597 { 599 {
598 G4int i,k,i1,i2; 600 G4int i,k,i1,i2;
599 G4double energy1, energy2, result = 0.; 601 G4double energy1, energy2, result = 0.;
600 602
601 fBetaGammaSq = bg2; 603 fBetaGammaSq = bg2;
602 fTmax = Tmax; 604 fTmax = Tmax;
603 605
604 delete fPAIxscVector; << 606 if(fPAIxscVector) delete fPAIxscVector;
605 607
606 fPAIxscVector = new G4PhysicsLogVector( (*(* 608 fPAIxscVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
607 fPAIxscVector->PutValue(fPAIbin-1,result); 609 fPAIxscVector->PutValue(fPAIbin-1,result);
608 610
609 for( i = fIntervalNumber - 1; i >= 0; i-- ) 611 for( i = fIntervalNumber - 1; i >= 0; i-- )
610 { 612 {
611 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 613 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
612 } 614 }
613 if (i < 0) i = 0; // Tmax should be more tha 615 if (i < 0) i = 0; // Tmax should be more than
614 // first ionisation potent 616 // first ionisation potential
615 fIntervalTmax = i; 617 fIntervalTmax = i;
616 618
617 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 619 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
618 620
619 for( k = fPAIbin - 2; k >= 0; k-- ) 621 for( k = fPAIbin - 2; k >= 0; k-- )
620 { 622 {
621 energy1 = fPAIxscVector->GetLowEdgeEnergy( 623 energy1 = fPAIxscVector->GetLowEdgeEnergy(k);
622 energy2 = fPAIxscVector->GetLowEdgeEnergy( 624 energy2 = fPAIxscVector->GetLowEdgeEnergy(k+1);
623 625
624 for( i = fIntervalTmax; i >= 0; i-- ) 626 for( i = fIntervalTmax; i >= 0; i-- )
625 { 627 {
626 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 628 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
627 } 629 }
628 if(i < 0) i = 0; 630 if(i < 0) i = 0;
629 i2 = i; 631 i2 = i;
630 632
631 for( i = fIntervalTmax; i >= 0; i-- ) 633 for( i = fIntervalTmax; i >= 0; i-- )
632 { 634 {
633 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 635 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
634 } 636 }
635 if(i < 0) i = 0; 637 if(i < 0) i = 0;
636 i1 = i; 638 i1 = i;
637 639
638 if( i1 == i2 ) 640 if( i1 == i2 )
639 { 641 {
640 fCurrentInterval = i1; 642 fCurrentInterval = i1;
641 result += integral.Legendre10(this,&G4In 643 result += integral.Legendre10(this,&G4InitXscPAI::DifPAIxSection,
642 energy1,en 644 energy1,energy2);
643 fPAIxscVector->PutValue(k,result); 645 fPAIxscVector->PutValue(k,result);
644 } 646 }
645 else 647 else
646 { 648 {
647 for( i = i2; i >= i1; i-- ) 649 for( i = i2; i >= i1; i-- )
648 { 650 {
649 fCurrentInterval = i; 651 fCurrentInterval = i;
650 652
651 if( i==i2 ) result += integral. 653 if( i==i2 ) result += integral.Legendre10(this,
652 &G4InitXscPAI::DifP 654 &G4InitXscPAI::DifPAIxSection,
653 (*(*fMatSandiaMatri 655 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
654 656
655 else if( i == i1 ) result += integral.Legend 657 else if( i == i1 ) result += integral.Legendre10(this,
656 &G4InitXscPAI::DifP 658 &G4InitXscPAI::DifPAIxSection,energy1,
657 (*(*fMatSandiaMatri 659 (*(*fMatSandiaMatrix)[i+1])[0]);
658 660
659 else result += integral. 661 else result += integral.Legendre10(this,
660 &G4InitXscPAI::DifP 662 &G4InitXscPAI::DifPAIxSection,
661 (*(*fMatSandiaMatrix)[i 663 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
662 } 664 }
663 fPAIxscVector->PutValue(k,result); 665 fPAIxscVector->PutValue(k,result);
664 } 666 }
665 // G4cout<<k<<"\t"<<result<<G4endl; 667 // G4cout<<k<<"\t"<<result<<G4endl;
666 } 668 }
667 return ; 669 return ;
668 } 670 }
669 671
670 672
671 ////////////////////////////////////////////// 673 ////////////////////////////////////////////////////////////////////////
672 // 674 //
673 // Calculation of the PAI integral dEdx 675 // Calculation of the PAI integral dEdx
674 // = mean energy loss per unit length, keV/cm 676 // = mean energy loss per unit length, keV/cm
675 // 677 //
676 678
677 void G4InitXscPAI::IntegralPAIdEdx(G4double bg 679 void G4InitXscPAI::IntegralPAIdEdx(G4double bg2, G4double Tmax)
678 { 680 {
679 G4int i,k,i1,i2; 681 G4int i,k,i1,i2;
680 G4double energy1, energy2, result = 0.; 682 G4double energy1, energy2, result = 0.;
681 683
682 fBetaGammaSq = bg2; 684 fBetaGammaSq = bg2;
683 fTmax = Tmax; 685 fTmax = Tmax;
684 686
685 delete fPAIdEdxVector; << 687 if(fPAIdEdxVector) delete fPAIdEdxVector;
686 688
687 fPAIdEdxVector = new G4PhysicsLogVector( (*( 689 fPAIdEdxVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
688 fPAIdEdxVector->PutValue(fPAIbin-1,result); 690 fPAIdEdxVector->PutValue(fPAIbin-1,result);
689 691
690 for( i = fIntervalNumber - 1; i >= 0; i-- ) 692 for( i = fIntervalNumber - 1; i >= 0; i-- )
691 { 693 {
692 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 694 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
693 } 695 }
694 if (i < 0) i = 0; // Tmax should be more tha 696 if (i < 0) i = 0; // Tmax should be more than
695 // first ionisation potent 697 // first ionisation potential
696 fIntervalTmax = i; 698 fIntervalTmax = i;
697 699
698 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 700 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
699 701
700 for( k = fPAIbin - 2; k >= 0; k-- ) 702 for( k = fPAIbin - 2; k >= 0; k-- )
701 { 703 {
702 energy1 = fPAIdEdxVector->GetLowEdgeEnergy 704 energy1 = fPAIdEdxVector->GetLowEdgeEnergy(k);
703 energy2 = fPAIdEdxVector->GetLowEdgeEnergy 705 energy2 = fPAIdEdxVector->GetLowEdgeEnergy(k+1);
704 706
705 for( i = fIntervalTmax; i >= 0; i-- ) 707 for( i = fIntervalTmax; i >= 0; i-- )
706 { 708 {
707 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 709 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
708 } 710 }
709 if(i < 0) i = 0; 711 if(i < 0) i = 0;
710 i2 = i; 712 i2 = i;
711 713
712 for( i = fIntervalTmax; i >= 0; i-- ) 714 for( i = fIntervalTmax; i >= 0; i-- )
713 { 715 {
714 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 716 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
715 } 717 }
716 if(i < 0) i = 0; 718 if(i < 0) i = 0;
717 i1 = i; 719 i1 = i;
718 720
719 if( i1 == i2 ) 721 if( i1 == i2 )
720 { 722 {
721 fCurrentInterval = i1; 723 fCurrentInterval = i1;
722 result += integral.Legendre10(this,&G4In 724 result += integral.Legendre10(this,&G4InitXscPAI::DifPAIdEdx,
723 energy1,en 725 energy1,energy2);
724 fPAIdEdxVector->PutValue(k,result); 726 fPAIdEdxVector->PutValue(k,result);
725 } 727 }
726 else 728 else
727 { 729 {
728 for( i = i2; i >= i1; i-- ) 730 for( i = i2; i >= i1; i-- )
729 { 731 {
730 fCurrentInterval = i; 732 fCurrentInterval = i;
731 733
732 if( i==i2 ) result += integral. 734 if( i==i2 ) result += integral.Legendre10(this,
733 &G4InitXscPAI::DifP 735 &G4InitXscPAI::DifPAIdEdx,
734 (*(*fMatSandiaMatri 736 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
735 737
736 else if( i == i1 ) result += integral.Legend 738 else if( i == i1 ) result += integral.Legendre10(this,
737 &G4InitXscPAI::DifP 739 &G4InitXscPAI::DifPAIdEdx,energy1,
738 (*(*fMatSandiaMatri 740 (*(*fMatSandiaMatrix)[i+1])[0]);
739 741
740 else result += integral. 742 else result += integral.Legendre10(this,
741 &G4InitXscPAI::DifP 743 &G4InitXscPAI::DifPAIdEdx,
742 (*(*fMatSandiaMatrix)[i 744 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
743 } 745 }
744 fPAIdEdxVector->PutValue(k,result); 746 fPAIdEdxVector->PutValue(k,result);
745 } 747 }
746 // G4cout<<k<<"\t"<<result<<G4endl; 748 // G4cout<<k<<"\t"<<result<<G4endl;
747 } 749 }
748 return ; 750 return ;
749 } 751 }
750 752
751 ////////////////////////////////////////////// 753 ////////////////////////////////////////////////////////////////////////
752 // 754 //
753 // Calculation of the PAI Cerenkov integral cr 755 // Calculation of the PAI Cerenkov integral cross-section
754 // fIntegralCrenkov[1] = specific Crenkov ioni 756 // fIntegralCrenkov[1] = specific Crenkov ionisation, 1/cm
755 // and fIntegralCerenkov[0] = mean Cerenkov lo 757 // and fIntegralCerenkov[0] = mean Cerenkov loss per cm in keV/cm
756 758
757 void G4InitXscPAI::IntegralCherenkov(G4double 759 void G4InitXscPAI::IntegralCherenkov(G4double bg2, G4double Tmax)
758 { 760 {
759 G4int i,k,i1,i2; 761 G4int i,k,i1,i2;
760 G4double energy1, energy2, beta2, module2, c 762 G4double energy1, energy2, beta2, module2, cos2, width, result = 0.;
761 763
762 fBetaGammaSq = bg2; 764 fBetaGammaSq = bg2;
763 fTmax = Tmax; 765 fTmax = Tmax;
764 beta2 = bg2/(1+bg2); 766 beta2 = bg2/(1+bg2);
765 767
766 delete fPAIphotonVector; << 768 if(fPAIphotonVector) delete fPAIphotonVector;
767 delete fChCosSqVector; << 769 if(fChCosSqVector) delete fChCosSqVector;
768 delete fChWidthVector; << 770 if(fChWidthVector) delete fChWidthVector;
769 771
770 fPAIphotonVector = new G4PhysicsLogVector( ( 772 fPAIphotonVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
771 fChCosSqVector = new G4PhysicsLogVector( (*( 773 fChCosSqVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
772 fChWidthVector = new G4PhysicsLogVector( (*( 774 fChWidthVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
773 775
774 fPAIphotonVector->PutValue(fPAIbin-1,result) 776 fPAIphotonVector->PutValue(fPAIbin-1,result);
775 fChCosSqVector->PutValue(fPAIbin-1,1.); 777 fChCosSqVector->PutValue(fPAIbin-1,1.);
776 fChWidthVector->PutValue(fPAIbin-1,1e-7); 778 fChWidthVector->PutValue(fPAIbin-1,1e-7);
777 779
778 for( i = fIntervalNumber - 1; i >= 0; i-- ) 780 for( i = fIntervalNumber - 1; i >= 0; i-- )
779 { 781 {
780 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 782 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
781 } 783 }
782 if (i < 0) i = 0; // Tmax should be more tha 784 if (i < 0) i = 0; // Tmax should be more than
783 // first ionisation potent 785 // first ionisation potential
784 fIntervalTmax = i; 786 fIntervalTmax = i;
785 787
786 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 788 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
787 789
788 for( k = fPAIbin - 2; k >= 0; k-- ) 790 for( k = fPAIbin - 2; k >= 0; k-- )
789 { 791 {
790 energy1 = fPAIphotonVector->GetLowEdgeEner 792 energy1 = fPAIphotonVector->GetLowEdgeEnergy(k);
791 energy2 = fPAIphotonVector->GetLowEdgeEner 793 energy2 = fPAIphotonVector->GetLowEdgeEnergy(k+1);
792 794
793 for( i = fIntervalTmax; i >= 0; i-- ) 795 for( i = fIntervalTmax; i >= 0; i-- )
794 { 796 {
795 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 797 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
796 } 798 }
797 if(i < 0) i = 0; 799 if(i < 0) i = 0;
798 i2 = i; 800 i2 = i;
799 801
800 for( i = fIntervalTmax; i >= 0; i-- ) 802 for( i = fIntervalTmax; i >= 0; i-- )
801 { 803 {
802 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 804 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
803 } 805 }
804 if(i < 0) i = 0; 806 if(i < 0) i = 0;
805 i1 = i; 807 i1 = i;
806 808
807 module2 = ModuleSqDielectricConst(i1,energ 809 module2 = ModuleSqDielectricConst(i1,energy1);
808 cos2 = RePartDielectricConst(energy1)/m 810 cos2 = RePartDielectricConst(energy1)/module2/beta2;
809 width = ImPartDielectricConst(i1,energy1 811 width = ImPartDielectricConst(i1,energy1)/module2/beta2;
810 812
811 fChCosSqVector->PutValue(k,cos2); 813 fChCosSqVector->PutValue(k,cos2);
812 fChWidthVector->PutValue(k,width); 814 fChWidthVector->PutValue(k,width);
813 815
814 if( i1 == i2 ) 816 if( i1 == i2 )
815 { 817 {
816 fCurrentInterval = i1; 818 fCurrentInterval = i1;
817 result += integral.Legendre10(this,&G4In 819 result += integral.Legendre10(this,&G4InitXscPAI::PAIdNdxCherenkov,
818 energy1,en 820 energy1,energy2);
819 fPAIphotonVector->PutValue(k,result); 821 fPAIphotonVector->PutValue(k,result);
820 822
821 } 823 }
822 else 824 else
823 { 825 {
824 for( i = i2; i >= i1; i-- ) 826 for( i = i2; i >= i1; i-- )
825 { 827 {
826 fCurrentInterval = i; 828 fCurrentInterval = i;
827 829
828 if( i==i2 ) result += integral. 830 if( i==i2 ) result += integral.Legendre10(this,
829 &G4InitXscPAI::PAId 831 &G4InitXscPAI::PAIdNdxCherenkov,
830 (*(*fMatSandiaMatri 832 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
831 833
832 else if( i == i1 ) result += integral.Legend 834 else if( i == i1 ) result += integral.Legendre10(this,
833 &G4InitXscPAI::PAId 835 &G4InitXscPAI::PAIdNdxCherenkov,energy1,
834 (*(*fMatSandiaMatri 836 (*(*fMatSandiaMatrix)[i+1])[0]);
835 837
836 else result += integral. 838 else result += integral.Legendre10(this,
837 &G4InitXscPAI::PAId 839 &G4InitXscPAI::PAIdNdxCherenkov,
838 (*(*fMatSandiaMatrix)[i 840 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
839 } 841 }
840 fPAIphotonVector->PutValue(k,result); 842 fPAIphotonVector->PutValue(k,result);
841 } 843 }
842 // G4cout<<k<<"\t"<<result<<G4endl; 844 // G4cout<<k<<"\t"<<result<<G4endl;
843 } 845 }
844 return; 846 return;
845 } // end of IntegralCerenkov 847 } // end of IntegralCerenkov
846 848
847 ////////////////////////////////////////////// 849 ////////////////////////////////////////////////////////////////////////
848 // 850 //
849 // Calculation of the PAI Plasmon integral cro 851 // Calculation of the PAI Plasmon integral cross-section
850 // fIntegralPlasmon[1] = splasmon primary ioni 852 // fIntegralPlasmon[1] = splasmon primary ionisation, 1/cm
851 // and fIntegralPlasmon[0] = mean plasmon loss 853 // and fIntegralPlasmon[0] = mean plasmon loss per cm in keV/cm
852 854
853 void G4InitXscPAI::IntegralPlasmon(G4double bg 855 void G4InitXscPAI::IntegralPlasmon(G4double bg2, G4double Tmax)
854 { 856 {
855 G4int i,k,i1,i2; 857 G4int i,k,i1,i2;
856 G4double energy1, energy2, result = 0.; 858 G4double energy1, energy2, result = 0.;
857 859
858 fBetaGammaSq = bg2; 860 fBetaGammaSq = bg2;
859 fTmax = Tmax; 861 fTmax = Tmax;
860 862
861 delete fPAIelectronVector; << 863 if(fPAIelectronVector) delete fPAIelectronVector;
862 864
863 fPAIelectronVector = new G4PhysicsLogVector( 865 fPAIelectronVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
864 fPAIelectronVector->PutValue(fPAIbin-1,resul 866 fPAIelectronVector->PutValue(fPAIbin-1,result);
865 867
866 for( i = fIntervalNumber - 1; i >= 0; i-- ) 868 for( i = fIntervalNumber - 1; i >= 0; i-- )
867 { 869 {
868 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 870 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
869 } 871 }
870 if (i < 0) i = 0; // Tmax should be more tha 872 if (i < 0) i = 0; // Tmax should be more than
871 // first ionisation potent 873 // first ionisation potential
872 fIntervalTmax = i; 874 fIntervalTmax = i;
873 875
874 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 876 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
875 877
876 for( k = fPAIbin - 2; k >= 0; k-- ) 878 for( k = fPAIbin - 2; k >= 0; k-- )
877 { 879 {
878 energy1 = fPAIelectronVector->GetLowEdgeEn 880 energy1 = fPAIelectronVector->GetLowEdgeEnergy(k);
879 energy2 = fPAIelectronVector->GetLowEdgeEn 881 energy2 = fPAIelectronVector->GetLowEdgeEnergy(k+1);
880 882
881 for( i = fIntervalTmax; i >= 0; i-- ) 883 for( i = fIntervalTmax; i >= 0; i-- )
882 { 884 {
883 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 885 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
884 } 886 }
885 if(i < 0) i = 0; 887 if(i < 0) i = 0;
886 i2 = i; 888 i2 = i;
887 889
888 for( i = fIntervalTmax; i >= 0; i-- ) 890 for( i = fIntervalTmax; i >= 0; i-- )
889 { 891 {
890 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 892 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
891 } 893 }
892 if(i < 0) i = 0; 894 if(i < 0) i = 0;
893 i1 = i; 895 i1 = i;
894 896
895 if( i1 == i2 ) 897 if( i1 == i2 )
896 { 898 {
897 fCurrentInterval = i1; 899 fCurrentInterval = i1;
898 result += integral.Legendre10(this,&G4In 900 result += integral.Legendre10(this,&G4InitXscPAI::PAIdNdxPlasmon,
899 energy1,en 901 energy1,energy2);
900 fPAIelectronVector->PutValue(k,result); 902 fPAIelectronVector->PutValue(k,result);
901 } 903 }
902 else 904 else
903 { 905 {
904 for( i = i2; i >= i1; i-- ) 906 for( i = i2; i >= i1; i-- )
905 { 907 {
906 fCurrentInterval = i; 908 fCurrentInterval = i;
907 909
908 if( i==i2 ) result += integral. 910 if( i==i2 ) result += integral.Legendre10(this,
909 &G4InitXscPAI::PAId 911 &G4InitXscPAI::PAIdNdxPlasmon,
910 (*(*fMatSandiaMatri 912 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
911 913
912 else if( i == i1 ) result += integral.Legend 914 else if( i == i1 ) result += integral.Legendre10(this,
913 &G4InitXscPAI::PAId 915 &G4InitXscPAI::PAIdNdxPlasmon,energy1,
914 (*(*fMatSandiaMatri 916 (*(*fMatSandiaMatrix)[i+1])[0]);
915 917
916 else result += integral. 918 else result += integral.Legendre10(this,
917 &G4InitXscPAI::PAId 919 &G4InitXscPAI::PAIdNdxPlasmon,
918 (*(*fMatSandiaMatrix)[i 920 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
919 } 921 }
920 fPAIelectronVector->PutValue(k,result); 922 fPAIelectronVector->PutValue(k,result);
921 } 923 }
922 // G4cout<<k<<"\t"<<result<<G4endl; 924 // G4cout<<k<<"\t"<<result<<G4endl;
923 } 925 }
924 return; 926 return;
925 } // end of IntegralPlasmon 927 } // end of IntegralPlasmon
926 928
927 929
928 ////////////////////////////////////////////// 930 /////////////////////////////////////////////////////////////////////////
929 // 931 //
930 // 932 //
931 933
932 G4double G4InitXscPAI::GetPhotonLambda( G4doub 934 G4double G4InitXscPAI::GetPhotonLambda( G4double omega )
933 { 935 {
934 G4int i ; 936 G4int i ;
935 G4double omega2, omega3, omega4, a1, a2, a3, 937 G4double omega2, omega3, omega4, a1, a2, a3, a4, lambda ;
936 938
937 omega2 = omega*omega ; 939 omega2 = omega*omega ;
938 omega3 = omega2*omega ; 940 omega3 = omega2*omega ;
939 omega4 = omega2*omega2 ; 941 omega4 = omega2*omega2 ;
940 942
941 for(i = 0; i < fIntervalNumber;i++) 943 for(i = 0; i < fIntervalNumber;i++)
942 { 944 {
943 if( omega < (*(*fMatSandiaMatrix)[i])[0] ) 945 if( omega < (*(*fMatSandiaMatrix)[i])[0] ) break ;
944 } 946 }
945 if( i == 0 ) 947 if( i == 0 )
946 { 948 {
947 G4cout<<"Warning: energy in G4InitXscPAI:: 949 G4cout<<"Warning: energy in G4InitXscPAI::GetPhotonLambda < I1"<<G4endl;
948 } 950 }
949 else i-- ; 951 else i-- ;
950 952
951 a1 = (*(*fMatSandiaMatrix)[i])[1]; 953 a1 = (*(*fMatSandiaMatrix)[i])[1];
952 a2 = (*(*fMatSandiaMatrix)[i])[2]; 954 a2 = (*(*fMatSandiaMatrix)[i])[2];
953 a3 = (*(*fMatSandiaMatrix)[i])[3]; 955 a3 = (*(*fMatSandiaMatrix)[i])[3];
954 a4 = (*(*fMatSandiaMatrix)[i])[4]; 956 a4 = (*(*fMatSandiaMatrix)[i])[4];
955 957
956 lambda = 1./(a1/omega + a2/omega2 + a3/omega 958 lambda = 1./(a1/omega + a2/omega2 + a3/omega3 + a4/omega4);
957 959
958 return lambda ; 960 return lambda ;
959 } 961 }
960 962
961 ////////////////////////////////////////////// 963 /////////////////////////////////////////////////////////////////////////
962 // 964 //
963 // 965 //
964 966
965 ////////////////////////////////////////////// 967 /////////////////////////////////////////////////////////////////////////
966 // 968 //
967 // 969 //
968 970
969 G4double G4InitXscPAI::GetStepEnergyLoss( G4do 971 G4double G4InitXscPAI::GetStepEnergyLoss( G4double step )
970 { 972 {
971 G4double loss = 0.0 ; 973 G4double loss = 0.0 ;
972 loss *= step; 974 loss *= step;
973 975
974 return loss ; 976 return loss ;
975 } 977 }
976 978
977 ////////////////////////////////////////////// 979 /////////////////////////////////////////////////////////////////////////
978 // 980 //
979 // 981 //
980 982
981 G4double G4InitXscPAI::GetStepCerenkovLoss( G4 983 G4double G4InitXscPAI::GetStepCerenkovLoss( G4double step )
982 { 984 {
983 G4double loss = 0.0 ; 985 G4double loss = 0.0 ;
984 loss *= step; 986 loss *= step;
985 987
986 return loss ; 988 return loss ;
987 } 989 }
988 990
989 ////////////////////////////////////////////// 991 /////////////////////////////////////////////////////////////////////////
990 // 992 //
991 // 993 //
992 994
993 G4double G4InitXscPAI::GetStepPlasmonLoss( G4d 995 G4double G4InitXscPAI::GetStepPlasmonLoss( G4double step )
994 { 996 {
995 997
996 998
997 G4double loss = 0.0 ; 999 G4double loss = 0.0 ;
998 loss *= step; 1000 loss *= step;
999 return loss ; 1001 return loss ;
1000 } 1002 }
1001 1003
1002 1004
1003 // 1005 //
1004 // end of G4InitXscPAI implementation file 1006 // end of G4InitXscPAI implementation file
1005 // 1007 //
1006 ///////////////////////////////////////////// 1008 ////////////////////////////////////////////////////////////////////////////
1007 1009
1008 1010