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25 // 22 //
26 // 23 //
>> 24 // $Id: G4InitXscPAI.cc,v 1.7 2004/12/01 19:37:14 vnivanch Exp $
>> 25 // GEANT4 tag $Name: geant4-07-00-patch-01 $
>> 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" <<
46 #include "G4SystemOfUnits.hh" <<
47 #include "G4ios.hh" 45 #include "G4ios.hh"
48 #include "G4Poisson.hh" 46 #include "G4Poisson.hh"
49 #include "G4Integrator.hh" 47 #include "G4Integrator.hh"
50 #include "G4Material.hh" 48 #include "G4Material.hh"
51 #include "G4MaterialCutsCouple.hh" 49 #include "G4MaterialCutsCouple.hh"
52 #include "G4SandiaTable.hh" 50 #include "G4SandiaTable.hh"
53 51
54 52
55 53
56 // Local class constants 54 // Local class constants
57 55
58 const G4double G4InitXscPAI::fDelta = 0 56 const G4double G4InitXscPAI::fDelta = 0.005 ; // energy shift from interval border
59 const G4int G4InitXscPAI::fPAIbin = 1 57 const G4int G4InitXscPAI::fPAIbin = 100 ; // size of energy transfer vectors
60 const G4double G4InitXscPAI::fSolidDensity = 0 58 const G4double G4InitXscPAI::fSolidDensity = 0.05*g/cm3 ; // ~gas-solid border
61 59
62 ////////////////////////////////////////////// 60 //////////////////////////////////////////////////////////////////
63 // 61 //
64 // Constructor 62 // Constructor
65 // 63 //
66 64
67 using namespace std; 65 using namespace std;
68 66
69 G4InitXscPAI::G4InitXscPAI( const G4MaterialCu 67 G4InitXscPAI::G4InitXscPAI( const G4MaterialCutsCouple* matCC)
70 : fPAIxscVector(nullptr), << 68 : fPAIxscVector(NULL),
71 fPAIdEdxVector(nullptr), << 69 fPAIdEdxVector(NULL),
72 fPAIphotonVector(nullptr), << 70 fPAIphotonVector(NULL),
73 fPAIelectronVector(nullptr), << 71 fPAIelectronVector(NULL),
74 fChCosSqVector(nullptr), << 72 fChCosSqVector(NULL),
75 fChWidthVector(nullptr) << 73 fChWidthVector(NULL)
76 { 74 {
77 G4int i, j, matIndex; 75 G4int i, j, matIndex;
78 76
79 fDensity = matCC->GetMaterial()->Get 77 fDensity = matCC->GetMaterial()->GetDensity();
80 fElectronDensity = matCC->GetMaterial()->Get 78 fElectronDensity = matCC->GetMaterial()->GetElectronDensity();
81 matIndex = (G4int)matCC->GetMaterial << 79 matIndex = matCC->GetMaterial()->GetIndex();
82 80
83 fSandia = new G4SandiaTable(matInde 81 fSandia = new G4SandiaTable(matIndex);
84 fIntervalNumber = fSandia->GetMaxInterval() 82 fIntervalNumber = fSandia->GetMaxInterval()-1;
85 83
86 fMatSandiaMatrix = new G4OrderedTable(); 84 fMatSandiaMatrix = new G4OrderedTable();
87 85
88 for (i = 0; i < fIntervalNumber; ++i) << 86 for (i = 0; i < fIntervalNumber; i++)
89 { 87 {
90 fMatSandiaMatrix->push_back(new G4DataVect 88 fMatSandiaMatrix->push_back(new G4DataVector(5,0.));
91 } 89 }
92 for (i = 0; i < fIntervalNumber; ++i) << 90 for (G4int i = 0; i < fIntervalNumber; i++)
93 { 91 {
94 (*(*fMatSandiaMatrix)[i])[0] = fSandia->Ge 92 (*(*fMatSandiaMatrix)[i])[0] = fSandia->GetSandiaMatTable(i,0);
95 93
96 for(j = 1; j < 5 ; ++j) << 94 for(j = 1; j < 5 ; j++)
97 { 95 {
98 (*(*fMatSandiaMatrix)[i])[j] = fSandia-> 96 (*(*fMatSandiaMatrix)[i])[j] = fSandia->GetSandiaMatTable(i,j)*fDensity;
99 } 97 }
100 } 98 }
101 KillCloseIntervals(); 99 KillCloseIntervals();
102 Normalisation(); 100 Normalisation();
103 fBetaGammaSq = fTmax = 0.0; << 101
104 fIntervalTmax = fCurrentInterval = 0; <<
105 } 102 }
106 103
107 104
108 105
109 106
110 ////////////////////////////////////////////// 107 ////////////////////////////////////////////////////////////////////////////
111 // 108 //
112 // Destructor 109 // Destructor
113 110
114 G4InitXscPAI::~G4InitXscPAI() 111 G4InitXscPAI::~G4InitXscPAI()
115 { 112 {
116 delete fPAIxscVector; << 113 if(fPAIxscVector) delete fPAIxscVector;
117 delete fPAIdEdxVector; << 114 if(fPAIdEdxVector) delete fPAIdEdxVector;
118 delete fPAIphotonVector; << 115 if(fPAIphotonVector) delete fPAIphotonVector;
119 delete fPAIelectronVector; << 116 if(fPAIelectronVector) delete fPAIelectronVector;
120 delete fChCosSqVector; << 117 if(fChCosSqVector) delete fChCosSqVector;
121 delete fChWidthVector; << 118 if(fChWidthVector) delete fChWidthVector;
122 delete fSandia; <<
123 delete fMatSandiaMatrix; <<
124 } 119 }
125 120
126 ////////////////////////////////////////////// 121 ////////////////////////////////////////////////////////////////////////
127 // 122 //
128 // Kill close intervals, recalculate fInterval 123 // Kill close intervals, recalculate fIntervalNumber
129 124
130 void G4InitXscPAI::KillCloseIntervals() 125 void G4InitXscPAI::KillCloseIntervals()
131 { 126 {
132 G4int i, j, k; 127 G4int i, j, k;
133 G4double energy1, energy2; 128 G4double energy1, energy2;
134 129
135 for( i = 0 ; i < fIntervalNumber - 1 ; i++ ) 130 for( i = 0 ; i < fIntervalNumber - 1 ; i++ )
136 { 131 {
137 energy1 = (*(*fMatSandiaMatrix)[i])[0]; 132 energy1 = (*(*fMatSandiaMatrix)[i])[0];
138 energy2 = (*(*fMatSandiaMatrix)[i+1])[0]; 133 energy2 = (*(*fMatSandiaMatrix)[i+1])[0];
139 134
140 if( energy2 - energy1 > 1.5*fDelta*(energy 135 if( energy2 - energy1 > 1.5*fDelta*(energy1 + energy2) ) continue ;
141 else 136 else
142 { 137 {
143 for(j = i; j < fIntervalNumber-1; j++) 138 for(j = i; j < fIntervalNumber-1; j++)
144 { 139 {
145 for( k = 0; k < 5; k++ ) 140 for( k = 0; k < 5; k++ )
146 { 141 {
147 (*(*fMatSandiaMatrix)[j])[k] = (*(*f 142 (*(*fMatSandiaMatrix)[j])[k] = (*(*fMatSandiaMatrix)[j+1])[k];
148 } 143 }
149 } 144 }
150 fIntervalNumber-- ; 145 fIntervalNumber-- ;
151 i-- ; 146 i-- ;
152 } 147 }
153 } 148 }
154 149
155 } 150 }
156 151
157 ////////////////////////////////////////////// 152 ////////////////////////////////////////////////////////////////////////
158 // 153 //
159 // Kill close intervals, recalculate fInterval 154 // Kill close intervals, recalculate fIntervalNumber
160 155
161 void G4InitXscPAI::Normalisation() 156 void G4InitXscPAI::Normalisation()
162 { 157 {
163 G4int i, j; 158 G4int i, j;
164 G4double energy1, energy2, /*delta,*/ cof; / << 159 G4double energy1, energy2, delta, cof; // , shift;
165 160
166 energy1 = (*(*fMatSandiaMatrix)[fIntervalNum 161 energy1 = (*(*fMatSandiaMatrix)[fIntervalNumber-1])[0];
167 energy2 = 2.*(*(*fMatSandiaMatrix)[fInterval 162 energy2 = 2.*(*(*fMatSandiaMatrix)[fIntervalNumber-1])[0];
168 163
169 164
170 cof = RutherfordIntegral(fIntervalNumber-1,e 165 cof = RutherfordIntegral(fIntervalNumber-1,energy1,energy2);
171 166
172 for( i = fIntervalNumber-2; i >= 0; i-- ) 167 for( i = fIntervalNumber-2; i >= 0; i-- )
173 { 168 {
174 energy1 = (*(*fMatSandiaMatrix)[i])[0]; 169 energy1 = (*(*fMatSandiaMatrix)[i])[0];
175 energy2 = (*(*fMatSandiaMatrix)[i+1])[0]; 170 energy2 = (*(*fMatSandiaMatrix)[i+1])[0];
176 171
177 cof += RutherfordIntegral(i,energy1,energy 172 cof += RutherfordIntegral(i,energy1,energy2);
178 // G4cout<<"norm. cof = "<<cof<<G4endl; 173 // G4cout<<"norm. cof = "<<cof<<G4endl;
179 } 174 }
180 fNormalizationCof = 2*pi*pi*hbarc*hbarc*fin 175 fNormalizationCof = 2*pi*pi*hbarc*hbarc*fine_structure_const/electron_mass_c2 ;
181 fNormalizationCof *= fElectronDensity; 176 fNormalizationCof *= fElectronDensity;
182 //delta = fNormalizationCof - cof; << 177 delta = fNormalizationCof - cof;
183 fNormalizationCof /= cof; 178 fNormalizationCof /= cof;
184 // G4cout<<"G4InitXscPAI::fNormalizationCof 179 // G4cout<<"G4InitXscPAI::fNormalizationCof/cof = "<<fNormalizationCof
185 // <<"; at delta ="<<delta<<G4endl ; 180 // <<"; at delta ="<<delta<<G4endl ;
186 181
187 for (i = 0; i < fIntervalNumber; i++) // ren << 182 for (G4int i = 0; i < fIntervalNumber; i++) // renormalisation on QM sum rule
188 { 183 {
189 for(j = 1; j < 5 ; j++) 184 for(j = 1; j < 5 ; j++)
190 { 185 {
191 (*(*fMatSandiaMatrix)[i])[j] *= fNormali 186 (*(*fMatSandiaMatrix)[i])[j] *= fNormalizationCof;
192 } 187 }
193 } 188 }
194 /* 189 /*
195 if(delta > 0) // shift the first energy inte 190 if(delta > 0) // shift the first energy interval
196 { 191 {
197 for(i=1;i<100;i++) 192 for(i=1;i<100;i++)
198 { 193 {
199 energy1 = (1.-i/100.)*(*(*fMatSandiaMatr 194 energy1 = (1.-i/100.)*(*(*fMatSandiaMatrix)[0])[0];
200 energy2 = (*(*fMatSandiaMatrix)[0])[0]; 195 energy2 = (*(*fMatSandiaMatrix)[0])[0];
201 shift = RutherfordIntegral(0,energy1,e 196 shift = RutherfordIntegral(0,energy1,energy2);
202 G4cout<<shift<<"\t"; 197 G4cout<<shift<<"\t";
203 if(shift >= delta) break; 198 if(shift >= delta) break;
204 } 199 }
205 (*(*fMatSandiaMatrix)[0])[0] = energy1; 200 (*(*fMatSandiaMatrix)[0])[0] = energy1;
206 cof += shift; 201 cof += shift;
207 } 202 }
208 else if(delta < 0) 203 else if(delta < 0)
209 { 204 {
210 for(i=1;i<100;i++) 205 for(i=1;i<100;i++)
211 { 206 {
212 energy1 = (*(*fMatSandiaMatrix)[0])[0]; 207 energy1 = (*(*fMatSandiaMatrix)[0])[0];
213 energy2 = (*(*fMatSandiaMatrix)[0])[0] + 208 energy2 = (*(*fMatSandiaMatrix)[0])[0] +
214 ( (*(*fMatSandiaMatrix)[0])[0] - 209 ( (*(*fMatSandiaMatrix)[0])[0] - (*(*fMatSandiaMatrix)[0])[0] )*i/100.;
215 shift = RutherfordIntegral(0,energy1,e 210 shift = RutherfordIntegral(0,energy1,energy2);
216 if( shift >= std::abs(delta) ) break; << 211 if( shift >= fabs(delta) ) break;
217 } 212 }
218 (*(*fMatSandiaMatrix)[0])[0] = energy2; 213 (*(*fMatSandiaMatrix)[0])[0] = energy2;
219 cof -= shift; 214 cof -= shift;
220 } 215 }
221 G4cout<<G4cout<<"G4InitXscPAI::fNormalizatio 216 G4cout<<G4cout<<"G4InitXscPAI::fNormalizationCof/cof = "<<fNormalizationCof/cof
222 <<"; at delta ="<<delta<<" and i = " 217 <<"; at delta ="<<delta<<" and i = "<<i<<G4endl ;
223 */ 218 */
224 } 219 }
225 220
>> 221
>> 222
>> 223
>> 224
226 ////////////////////////////////////////////// 225 ////////////////////////////////////////////////////////////////////
227 // 226 //
228 // Integration over electrons that could be co 227 // Integration over electrons that could be considered
229 // quasi-free at energy transfer of interest 228 // quasi-free at energy transfer of interest
230 229
231 G4double G4InitXscPAI::RutherfordIntegral( G4i 230 G4double G4InitXscPAI::RutherfordIntegral( G4int k,
232 G4double x1, 231 G4double x1,
233 G4double x2 ) 232 G4double x2 )
234 { 233 {
235 G4double c1, c2, c3, a1, a2, a3, a4 ; 234 G4double c1, c2, c3, a1, a2, a3, a4 ;
236 235
237 a1 = (*(*fMatSandiaMatrix)[k])[1]; 236 a1 = (*(*fMatSandiaMatrix)[k])[1];
238 a2 = (*(*fMatSandiaMatrix)[k])[2]; 237 a2 = (*(*fMatSandiaMatrix)[k])[2];
239 a3 = (*(*fMatSandiaMatrix)[k])[3]; 238 a3 = (*(*fMatSandiaMatrix)[k])[3];
240 a4 = (*(*fMatSandiaMatrix)[k])[4]; 239 a4 = (*(*fMatSandiaMatrix)[k])[4];
241 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<< 240 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<x2<<G4endl;
242 c1 = (x2 - x1)/x1/x2 ; 241 c1 = (x2 - x1)/x1/x2 ;
243 c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2 ; 242 c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2 ;
244 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x 243 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ;
245 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "< 244 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<<c2<<"; "<<"c3 = "<<c3<<G4endl;
246 245
247 return a1*log(x2/x1) + a2*c1 + a3*c2/2 + a 246 return a1*log(x2/x1) + a2*c1 + a3*c2/2 + a4*c3/3 ;
248 247
249 } // end of RutherfordIntegral 248 } // end of RutherfordIntegral
250 249
251 ////////////////////////////////////////////// 250 ///////////////////////////////////////////////////////////////
252 // 251 //
253 // Integrate photo-absorption cross-section f 252 // Integrate photo-absorption cross-section from I1 up to omega
254 253
255 G4double G4InitXscPAI::IntegralTerm(G4double o 254 G4double G4InitXscPAI::IntegralTerm(G4double omega)
256 { 255 {
257 G4int i; 256 G4int i;
258 G4double energy1, energy2, result = 0.; 257 G4double energy1, energy2, result = 0.;
259 258
260 for( i = 0; i <= fIntervalTmax; i++ ) 259 for( i = 0; i <= fIntervalTmax; i++ )
261 { 260 {
262 if(i == fIntervalTmax) 261 if(i == fIntervalTmax)
263 { 262 {
264 energy1 = (*(*fMatSandiaMatrix)[i])[0]; 263 energy1 = (*(*fMatSandiaMatrix)[i])[0];
265 result += RutherfordIntegral(i,energy1,o 264 result += RutherfordIntegral(i,energy1,omega);
266 } 265 }
267 else 266 else
268 { 267 {
269 if( omega <= (*(*fMatSandiaMatrix)[i+1]) 268 if( omega <= (*(*fMatSandiaMatrix)[i+1])[0])
270 { 269 {
271 energy1 = (*(*fMatSandiaMatrix)[i])[0] 270 energy1 = (*(*fMatSandiaMatrix)[i])[0];
272 result += RutherfordIntegral(i,energy1 271 result += RutherfordIntegral(i,energy1,omega);
273 break; 272 break;
274 } 273 }
275 else 274 else
276 { 275 {
277 energy1 = (*(*fMatSandiaMatrix)[i])[0] 276 energy1 = (*(*fMatSandiaMatrix)[i])[0];
278 energy2 = (*(*fMatSandiaMatrix)[i+1])[ 277 energy2 = (*(*fMatSandiaMatrix)[i+1])[0];
279 result += RutherfordIntegral(i,energy1 278 result += RutherfordIntegral(i,energy1,energy2);
280 } 279 }
281 } 280 }
282 // G4cout<<"IntegralTerm<<"("<<omega<<")"< 281 // G4cout<<"IntegralTerm<<"("<<omega<<")"<<" = "<<result<<G4endl;
283 } 282 }
284 return result; 283 return result;
285 } 284 }
286 285
287 286
288 ////////////////////////////////////////////// 287 ////////////////////////////////////////////////////////////////
289 // 288 //
290 // Imaginary part of dielectric constant 289 // Imaginary part of dielectric constant
291 // (G4int k - interval number, G4double en1 - 290 // (G4int k - interval number, G4double en1 - energy point)
292 291
293 G4double G4InitXscPAI::ImPartDielectricConst( 292 G4double G4InitXscPAI::ImPartDielectricConst( G4int k ,
294 G4double energy1 293 G4double energy1 )
295 { 294 {
296 G4double energy2,energy3,energy4,a1,a2,a3,a 295 G4double energy2,energy3,energy4,a1,a2,a3,a4,result;
297 296
298 a1 = (*(*fMatSandiaMatrix)[k])[1]; 297 a1 = (*(*fMatSandiaMatrix)[k])[1];
299 a2 = (*(*fMatSandiaMatrix)[k])[2]; 298 a2 = (*(*fMatSandiaMatrix)[k])[2];
300 a3 = (*(*fMatSandiaMatrix)[k])[3]; 299 a3 = (*(*fMatSandiaMatrix)[k])[3];
301 a4 = (*(*fMatSandiaMatrix)[k])[4]; 300 a4 = (*(*fMatSandiaMatrix)[k])[4];
302 301
303 energy2 = energy1*energy1; 302 energy2 = energy1*energy1;
304 energy3 = energy2*energy1; 303 energy3 = energy2*energy1;
305 energy4 = energy3*energy1; 304 energy4 = energy3*energy1;
306 305
307 result = a1/energy1+a2/energy2+a3/energy3+ 306 result = a1/energy1+a2/energy2+a3/energy3+a4/energy4 ;
308 result *= hbarc/energy1 ; 307 result *= hbarc/energy1 ;
309 308
310 return result ; 309 return result ;
311 310
312 } // end of ImPartDielectricConst 311 } // end of ImPartDielectricConst
313 312
314 ////////////////////////////////////////////// 313 ////////////////////////////////////////////////////////////////
315 // 314 //
316 // Modulus squared of dielectric constant 315 // Modulus squared of dielectric constant
317 // (G4int k - interval number, G4double omega 316 // (G4int k - interval number, G4double omega - energy point)
318 317
319 G4double G4InitXscPAI::ModuleSqDielectricConst 318 G4double G4InitXscPAI::ModuleSqDielectricConst( G4int k ,
320 G4double omega ) 319 G4double omega )
321 { 320 {
322 G4double eIm2, eRe2, result; 321 G4double eIm2, eRe2, result;
323 322
324 result = ImPartDielectricConst(k,omega); 323 result = ImPartDielectricConst(k,omega);
325 eIm2 = result*result; 324 eIm2 = result*result;
326 325
327 result = RePartDielectricConst(omega); 326 result = RePartDielectricConst(omega);
328 eRe2 = result*result; 327 eRe2 = result*result;
329 328
330 result = eIm2 + eRe2; 329 result = eIm2 + eRe2;
331 330
332 return result ; 331 return result ;
333 } 332 }
334 333
335 334
336 ////////////////////////////////////////////// 335 //////////////////////////////////////////////////////////////////////////////
337 // 336 //
338 // Real part of dielectric constant minus unit 337 // Real part of dielectric constant minus unit: epsilon_1 - 1
339 // (G4double enb - energy point) 338 // (G4double enb - energy point)
340 // 339 //
341 340
342 G4double G4InitXscPAI::RePartDielectricConst(G 341 G4double G4InitXscPAI::RePartDielectricConst(G4double enb)
343 { 342 {
344 G4int i; 343 G4int i;
345 G4double x0, x02, x03, x04, x05, x1, x2, a1 344 G4double x0, x02, x03, x04, x05, x1, x2, a1,a2,a3,a4,xx1 ,xx2 , xx12,
346 c1, c2, c3, cof1, cof2, xln1, xln2 345 c1, c2, c3, cof1, cof2, xln1, xln2, xln3, result ;
347 346
348 x0 = enb ; 347 x0 = enb ;
349 result = 0 ; 348 result = 0 ;
350 349
351 for( i = 0; i < fIntervalNumber-1; i++) 350 for( i = 0; i < fIntervalNumber-1; i++)
352 { 351 {
353 x1 = (*(*fMatSandiaMatrix)[i])[0]; 352 x1 = (*(*fMatSandiaMatrix)[i])[0];
354 x2 = (*(*fMatSandiaMatrix)[i+1])[0] ; 353 x2 = (*(*fMatSandiaMatrix)[i+1])[0] ;
355 354
356 a1 = (*(*fMatSandiaMatrix)[i])[1]; 355 a1 = (*(*fMatSandiaMatrix)[i])[1];
357 a2 = (*(*fMatSandiaMatrix)[i])[2]; 356 a2 = (*(*fMatSandiaMatrix)[i])[2];
358 a3 = (*(*fMatSandiaMatrix)[i])[3]; 357 a3 = (*(*fMatSandiaMatrix)[i])[3];
359 a4 = (*(*fMatSandiaMatrix)[i])[4]; 358 a4 = (*(*fMatSandiaMatrix)[i])[4];
360 359
361 if( std::abs(x0-x1) < 0.5*(x0+x1)*fDelta << 360 if( fabs(x0-x1) < 0.5*(x0+x1)*fDelta )
362 { 361 {
363 if(x0 >= x1) x0 = x1*(1+fDelta); 362 if(x0 >= x1) x0 = x1*(1+fDelta);
364 else x0 = x1*(1-fDelta); 363 else x0 = x1*(1-fDelta);
365 } 364 }
366 if( std::abs(x0-x2) < 0.5*(x0+x2)*fDelta << 365 if( fabs(x0-x2) < 0.5*(x0+x2)*fDelta )
367 { 366 {
368 if(x0 >= x2) x0 = x2*(1+fDelta); 367 if(x0 >= x2) x0 = x2*(1+fDelta);
369 else x0 = x2*(1-fDelta); 368 else x0 = x2*(1-fDelta);
370 } 369 }
371 xx1 = x1 - x0 ; 370 xx1 = x1 - x0 ;
372 xx2 = x2 - x0 ; 371 xx2 = x2 - x0 ;
373 xx12 = xx2/xx1 ; 372 xx12 = xx2/xx1 ;
374 373
375 if( xx12 < 0 ) xx12 = -xx12; 374 if( xx12 < 0 ) xx12 = -xx12;
376 375
377 xln1 = log(x2/x1) ; 376 xln1 = log(x2/x1) ;
378 xln2 = log(xx12) ; 377 xln2 = log(xx12) ;
379 xln3 = log((x2 + x0)/(x1 + x0)) ; 378 xln3 = log((x2 + x0)/(x1 + x0)) ;
380 379
381 x02 = x0*x0 ; 380 x02 = x0*x0 ;
382 x03 = x02*x0 ; 381 x03 = x02*x0 ;
383 x04 = x03*x0 ; 382 x04 = x03*x0 ;
384 x05 = x04*x0; 383 x05 = x04*x0;
385 384
386 c1 = (x2 - x1)/x1/x2 ; 385 c1 = (x2 - x1)/x1/x2 ;
387 c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2 ; 386 c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2 ;
388 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x 387 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2 ;
389 388
390 result -= (a1/x02 + a3/x04)*xln1 ; 389 result -= (a1/x02 + a3/x04)*xln1 ;
391 result -= (a2/x02 + a4/x04)*c1 ; 390 result -= (a2/x02 + a4/x04)*c1 ;
392 result -= a3*c2/2/x02 ; 391 result -= a3*c2/2/x02 ;
393 result -= a4*c3/3/x02 ; 392 result -= a4*c3/3/x02 ;
394 393
395 cof1 = a1/x02 + a3/x04 ; 394 cof1 = a1/x02 + a3/x04 ;
396 cof2 = a2/x03 + a4/x05 ; 395 cof2 = a2/x03 + a4/x05 ;
397 396
398 result += 0.5*(cof1 +cof2)*xln2 ; 397 result += 0.5*(cof1 +cof2)*xln2 ;
399 result += 0.5*(cof1 - cof2)*xln3 ; 398 result += 0.5*(cof1 - cof2)*xln3 ;
400 } 399 }
401 result *= 2*hbarc/pi ; 400 result *= 2*hbarc/pi ;
402 401
403 return result ; 402 return result ;
404 403
405 } // end of RePartDielectricConst 404 } // end of RePartDielectricConst
406 405
407 ////////////////////////////////////////////// 406 //////////////////////////////////////////////////////////////////////
408 // 407 //
409 // PAI differential cross-section in terms of 408 // PAI differential cross-section in terms of
410 // simplified Allison's equation 409 // simplified Allison's equation
411 // 410 //
412 411
413 G4double G4InitXscPAI::DifPAIxSection( G4doubl 412 G4double G4InitXscPAI::DifPAIxSection( G4double omega )
414 { 413 {
415 G4int i = fCurrentInterval; 414 G4int i = fCurrentInterval;
416 G4double betaGammaSq = fBetaGammaSq; 415 G4double betaGammaSq = fBetaGammaSq;
417 G4double integralTerm = IntegralTerm(omega); 416 G4double integralTerm = IntegralTerm(omega);
418 G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,res 417 G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,result ;
419 G4double epsilonRe = RePartDielectricConst(o 418 G4double epsilonRe = RePartDielectricConst(omega);
420 G4double epsilonIm = ImPartDielectricConst(i 419 G4double epsilonIm = ImPartDielectricConst(i,omega);
421 G4double be4 ; 420 G4double be4 ;
422 static const G4double betaBohr2 = fine_struc << 421 G4double betaBohr2 = fine_structure_const*fine_structure_const ;
423 static const G4double betaBohr4 = betaBohr2* << 422 G4double betaBohr4 = betaBohr2*betaBohr2*4.0 ;
424 be2 = betaGammaSq/(1 + betaGammaSq) ; 423 be2 = betaGammaSq/(1 + betaGammaSq) ;
425 be4 = be2*be2 ; 424 be4 = be2*be2 ;
426 425
427 cof = 1 ; 426 cof = 1 ;
428 x1 = log(2*electron_mass_c2/omega) ; 427 x1 = log(2*electron_mass_c2/omega) ;
429 428
430 if( betaGammaSq < 0.01 ) x2 = log(be2) ; 429 if( betaGammaSq < 0.01 ) x2 = log(be2) ;
431 else 430 else
432 { 431 {
433 x2 = -log( (1/betaGammaSq - epsilonRe)* 432 x2 = -log( (1/betaGammaSq - epsilonRe)*
434 (1/betaGammaSq - epsilonRe) + 433 (1/betaGammaSq - epsilonRe) +
435 epsilonIm*epsilonIm )/2 ; 434 epsilonIm*epsilonIm )/2 ;
436 } 435 }
437 if( epsilonIm == 0.0 || betaGammaSq < 0.01 436 if( epsilonIm == 0.0 || betaGammaSq < 0.01 )
438 { 437 {
439 x6=0 ; 438 x6=0 ;
440 } 439 }
441 else 440 else
442 { 441 {
443 x3 = -epsilonRe + 1/betaGammaSq ; 442 x3 = -epsilonRe + 1/betaGammaSq ;
444 x5 = -1 - epsilonRe + be2*((1 +epsilonRe) 443 x5 = -1 - epsilonRe + be2*((1 +epsilonRe)*(1 + epsilonRe) +
445 epsilonIm*epsilonIm) ; 444 epsilonIm*epsilonIm) ;
446 445
447 x7 = atan2(epsilonIm,x3) ; 446 x7 = atan2(epsilonIm,x3) ;
448 x6 = x5 * x7 ; 447 x6 = x5 * x7 ;
449 } 448 }
450 // if(fImPartDielectricConst[i] == 0) x6 = 449 // if(fImPartDielectricConst[i] == 0) x6 = 0 ;
451 450
452 x4 = ((x1 + x2)*epsilonIm + x6)/hbarc ; 451 x4 = ((x1 + x2)*epsilonIm + x6)/hbarc ;
453 // if( x4 < 0.0 ) x4 = 0.0 ; 452 // if( x4 < 0.0 ) x4 = 0.0 ;
454 x8 = (1 + epsilonRe)*(1 + epsilonRe) + 453 x8 = (1 + epsilonRe)*(1 + epsilonRe) +
455 epsilonIm*epsilonIm; 454 epsilonIm*epsilonIm;
456 455
457 result = (x4 + cof*integralTerm/omega/omega 456 result = (x4 + cof*integralTerm/omega/omega) ;
458 if(result < 1.0e-8) result = 1.0e-8 ; 457 if(result < 1.0e-8) result = 1.0e-8 ;
459 result *= fine_structure_const/be2/pi ; 458 result *= fine_structure_const/be2/pi ;
460 // result *= (1-exp(-beta/betaBohr))*(1-e 459 // result *= (1-exp(-beta/betaBohr))*(1-exp(-beta/betaBohr)) ;
461 // result *= (1-exp(-be2/betaBohr2)) ; 460 // result *= (1-exp(-be2/betaBohr2)) ;
462 result *= (1-exp(-be4/betaBohr4)) ; 461 result *= (1-exp(-be4/betaBohr4)) ;
463 if(fDensity >= fSolidDensity) 462 if(fDensity >= fSolidDensity)
464 { 463 {
465 result /= x8 ; 464 result /= x8 ;
466 } 465 }
467 return result ; 466 return result ;
468 467
469 } // end of DifPAIxSection 468 } // end of DifPAIxSection
470 469
471 ////////////////////////////////////////////// 470 //////////////////////////////////////////////////////////////////////
472 // 471 //
473 // Differential PAI dEdx(omega)=omega*dNdx(ome 472 // Differential PAI dEdx(omega)=omega*dNdx(omega)
474 // 473 //
475 474
476 G4double G4InitXscPAI::DifPAIdEdx( G4double om 475 G4double G4InitXscPAI::DifPAIdEdx( G4double omega )
477 { 476 {
478 G4double dEdx = omega*DifPAIxSection(omega); 477 G4double dEdx = omega*DifPAIxSection(omega);
479 return dEdx; 478 return dEdx;
480 } 479 }
481 480
482 ////////////////////////////////////////////// 481 //////////////////////////////////////////////////////////////////////////
483 // 482 //
484 // Calculation od dN/dx of collisions with cre 483 // Calculation od dN/dx of collisions with creation of Cerenkov pseudo-photons
485 484
486 G4double G4InitXscPAI::PAIdNdxCherenkov( G4dou 485 G4double G4InitXscPAI::PAIdNdxCherenkov( G4double omega )
487 { 486 {
488 G4int i = fCurrentInterval; 487 G4int i = fCurrentInterval;
489 G4double betaGammaSq = fBetaGammaSq; 488 G4double betaGammaSq = fBetaGammaSq;
490 G4double epsilonRe = RePartDielectricConst(o 489 G4double epsilonRe = RePartDielectricConst(omega);
491 G4double epsilonIm = ImPartDielectricConst(i 490 G4double epsilonIm = ImPartDielectricConst(i,omega);
492 491
493 G4double /*cof,*/ logarithm, x3, x5, argumen << 492 G4double cof, logarithm, x3, x5, argument, modul2, dNdxC ;
494 G4double be2, be4; << 493 G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr ;
495 494
496 //cof = 1.0 ; << 495 cof = 1.0 ;
497 static const G4double cofBetaBohr = 4.0 ; << 496 cofBetaBohr = 4.0 ;
498 static const G4double betaBohr2 = fine_str << 497 betaBohr2 = fine_structure_const*fine_structure_const ;
499 static const G4double betaBohr4 = betaBohr << 498 betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ;
500 499
501 be2 = betaGammaSq/(1 + betaGammaSq) ; 500 be2 = betaGammaSq/(1 + betaGammaSq) ;
502 be4 = be2*be2 ; 501 be4 = be2*be2 ;
503 502
504 if( betaGammaSq < 0.01 ) logarithm = log(1. 503 if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq) ; // 0.0 ;
505 else 504 else
506 { 505 {
507 logarithm = -log( (1/betaGammaSq - epsil 506 logarithm = -log( (1/betaGammaSq - epsilonRe)*
508 (1/betaGammaSq - epsilonRe) 507 (1/betaGammaSq - epsilonRe) +
509 epsilonIm*epsilonIm )*0.5 ; 508 epsilonIm*epsilonIm )*0.5 ;
510 logarithm += log(1+1.0/betaGammaSq) ; 509 logarithm += log(1+1.0/betaGammaSq) ;
511 } 510 }
512 511
513 if( epsilonIm == 0.0 || betaGammaSq < 0.01 512 if( epsilonIm == 0.0 || betaGammaSq < 0.01 )
514 { 513 {
515 argument = 0.0 ; 514 argument = 0.0 ;
516 } 515 }
517 else 516 else
518 { 517 {
519 x3 = -epsilonRe + 1.0/betaGammaSq ; 518 x3 = -epsilonRe + 1.0/betaGammaSq ;
520 x5 = -1.0 - epsilonRe + 519 x5 = -1.0 - epsilonRe +
521 be2*((1.0 +epsilonRe)*(1.0 + epsilon 520 be2*((1.0 +epsilonRe)*(1.0 + epsilonRe) +
522 epsilonIm*epsilonIm) ; 521 epsilonIm*epsilonIm) ;
523 if( x3 == 0.0 ) argument = 0.5*pi; 522 if( x3 == 0.0 ) argument = 0.5*pi;
524 else argument = atan2(epsilonI 523 else argument = atan2(epsilonIm,x3) ;
525 argument *= x5 ; 524 argument *= x5 ;
526 } 525 }
527 dNdxC = ( logarithm*epsilonIm + argument )/ 526 dNdxC = ( logarithm*epsilonIm + argument )/hbarc ;
528 527
529 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8 ; 528 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8 ;
530 529
531 dNdxC *= fine_structure_const/be2/pi ; 530 dNdxC *= fine_structure_const/be2/pi ;
532 531
533 dNdxC *= (1-exp(-be4/betaBohr4)) ; 532 dNdxC *= (1-exp(-be4/betaBohr4)) ;
534 533
535 if(fDensity >= fSolidDensity) 534 if(fDensity >= fSolidDensity)
536 { 535 {
537 modul2 = (1.0 + epsilonRe)*(1.0 + epsilo 536 modul2 = (1.0 + epsilonRe)*(1.0 + epsilonRe) +
538 epsilonIm*epsilonIm; 537 epsilonIm*epsilonIm;
539 dNdxC /= modul2 ; 538 dNdxC /= modul2 ;
540 } 539 }
541 return dNdxC ; 540 return dNdxC ;
542 541
543 } // end of PAIdNdxCerenkov 542 } // end of PAIdNdxCerenkov
544 543
545 ////////////////////////////////////////////// 544 //////////////////////////////////////////////////////////////////////////
546 // 545 //
547 // Calculation od dN/dx of collisions with cre 546 // Calculation od dN/dx of collisions with creation of longitudinal EM
548 // excitations (plasmons, delta-electrons) 547 // excitations (plasmons, delta-electrons)
549 548
550 G4double G4InitXscPAI::PAIdNdxPlasmon( G4doubl 549 G4double G4InitXscPAI::PAIdNdxPlasmon( G4double omega )
551 { 550 {
552 G4int i = fCurrentInterval; 551 G4int i = fCurrentInterval;
553 G4double betaGammaSq = fBetaGammaSq; 552 G4double betaGammaSq = fBetaGammaSq;
554 G4double integralTerm = IntegralTerm(omega); 553 G4double integralTerm = IntegralTerm(omega);
555 G4double epsilonRe = RePartDielectricConst(o 554 G4double epsilonRe = RePartDielectricConst(omega);
556 G4double epsilonIm = ImPartDielectricConst(i 555 G4double epsilonIm = ImPartDielectricConst(i,omega);
557 556
558 G4double cof, resonance, modul2, dNdxP ; 557 G4double cof, resonance, modul2, dNdxP ;
559 G4double be2, be4; << 558 G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr ;
560 559
561 cof = 1 ; 560 cof = 1 ;
562 static const G4double cofBetaBohr = 4.0 ; << 561 cofBetaBohr = 4.0 ;
563 static const G4double betaBohr2 = fine_st << 562 betaBohr2 = fine_structure_const*fine_structure_const ;
564 static const G4double betaBohr4 = betaBoh << 563 betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr ;
565 564
566 be2 = betaGammaSq/(1 + betaGammaSq) ; 565 be2 = betaGammaSq/(1 + betaGammaSq) ;
567 be4 = be2*be2 ; 566 be4 = be2*be2 ;
568 567
569 resonance = log(2*electron_mass_c2*be2/ome 568 resonance = log(2*electron_mass_c2*be2/omega) ;
570 resonance *= epsilonIm/hbarc ; 569 resonance *= epsilonIm/hbarc ;
571 570
572 571
573 dNdxP = ( resonance + cof*integralTerm/omeg 572 dNdxP = ( resonance + cof*integralTerm/omega/omega ) ;
574 573
575 if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8 ; 574 if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8 ;
576 575
577 dNdxP *= fine_structure_const/be2/pi ; 576 dNdxP *= fine_structure_const/be2/pi ;
578 dNdxP *= (1-exp(-be4/betaBohr4)) ; 577 dNdxP *= (1-exp(-be4/betaBohr4)) ;
579 578
580 if( fDensity >= fSolidDensity ) 579 if( fDensity >= fSolidDensity )
581 { 580 {
582 modul2 = (1 + epsilonRe)*(1 + epsilonRe) 581 modul2 = (1 + epsilonRe)*(1 + epsilonRe) +
583 epsilonIm*epsilonIm; 582 epsilonIm*epsilonIm;
584 dNdxP /= modul2 ; 583 dNdxP /= modul2 ;
585 } 584 }
586 return dNdxP ; 585 return dNdxP ;
587 586
588 } // end of PAIdNdxPlasmon 587 } // end of PAIdNdxPlasmon
589 588
590 ////////////////////////////////////////////// 589 ////////////////////////////////////////////////////////////////////////
591 // 590 //
592 // Calculation of the PAI integral cross-secti 591 // Calculation of the PAI integral cross-section
593 // = specific primary ionisation, 1/cm 592 // = specific primary ionisation, 1/cm
594 // 593 //
595 594
596 void G4InitXscPAI::IntegralPAIxSection(G4doubl 595 void G4InitXscPAI::IntegralPAIxSection(G4double bg2, G4double Tmax)
597 { 596 {
598 G4int i,k,i1,i2; 597 G4int i,k,i1,i2;
599 G4double energy1, energy2, result = 0.; 598 G4double energy1, energy2, result = 0.;
600 599
601 fBetaGammaSq = bg2; 600 fBetaGammaSq = bg2;
602 fTmax = Tmax; 601 fTmax = Tmax;
603 602
604 delete fPAIxscVector; << 603 if(fPAIxscVector) delete fPAIxscVector;
605 604
606 fPAIxscVector = new G4PhysicsLogVector( (*(* 605 fPAIxscVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
607 fPAIxscVector->PutValue(fPAIbin-1,result); 606 fPAIxscVector->PutValue(fPAIbin-1,result);
608 607
609 for( i = fIntervalNumber - 1; i >= 0; i-- ) 608 for( i = fIntervalNumber - 1; i >= 0; i-- )
610 { 609 {
611 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 610 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
612 } 611 }
613 if (i < 0) i = 0; // Tmax should be more tha 612 if (i < 0) i = 0; // Tmax should be more than
614 // first ionisation potent 613 // first ionisation potential
615 fIntervalTmax = i; 614 fIntervalTmax = i;
616 615
617 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 616 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
618 617
619 for( k = fPAIbin - 2; k >= 0; k-- ) 618 for( k = fPAIbin - 2; k >= 0; k-- )
620 { 619 {
621 energy1 = fPAIxscVector->GetLowEdgeEnergy( 620 energy1 = fPAIxscVector->GetLowEdgeEnergy(k);
622 energy2 = fPAIxscVector->GetLowEdgeEnergy( 621 energy2 = fPAIxscVector->GetLowEdgeEnergy(k+1);
623 622
624 for( i = fIntervalTmax; i >= 0; i-- ) 623 for( i = fIntervalTmax; i >= 0; i-- )
625 { 624 {
626 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 625 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
627 } 626 }
628 if(i < 0) i = 0; 627 if(i < 0) i = 0;
629 i2 = i; 628 i2 = i;
630 629
631 for( i = fIntervalTmax; i >= 0; i-- ) 630 for( i = fIntervalTmax; i >= 0; i-- )
632 { 631 {
633 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 632 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
634 } 633 }
635 if(i < 0) i = 0; 634 if(i < 0) i = 0;
636 i1 = i; 635 i1 = i;
637 636
638 if( i1 == i2 ) 637 if( i1 == i2 )
639 { 638 {
640 fCurrentInterval = i1; 639 fCurrentInterval = i1;
641 result += integral.Legendre10(this,&G4In 640 result += integral.Legendre10(this,&G4InitXscPAI::DifPAIxSection,
642 energy1,en 641 energy1,energy2);
643 fPAIxscVector->PutValue(k,result); 642 fPAIxscVector->PutValue(k,result);
644 } 643 }
645 else 644 else
646 { 645 {
647 for( i = i2; i >= i1; i-- ) 646 for( i = i2; i >= i1; i-- )
648 { 647 {
649 fCurrentInterval = i; 648 fCurrentInterval = i;
650 649
651 if( i==i2 ) result += integral. 650 if( i==i2 ) result += integral.Legendre10(this,
652 &G4InitXscPAI::DifP 651 &G4InitXscPAI::DifPAIxSection,
653 (*(*fMatSandiaMatri 652 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
654 653
655 else if( i == i1 ) result += integral.Legend 654 else if( i == i1 ) result += integral.Legendre10(this,
656 &G4InitXscPAI::DifP 655 &G4InitXscPAI::DifPAIxSection,energy1,
657 (*(*fMatSandiaMatri 656 (*(*fMatSandiaMatrix)[i+1])[0]);
658 657
659 else result += integral. 658 else result += integral.Legendre10(this,
660 &G4InitXscPAI::DifP 659 &G4InitXscPAI::DifPAIxSection,
661 (*(*fMatSandiaMatrix)[i 660 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
662 } 661 }
663 fPAIxscVector->PutValue(k,result); 662 fPAIxscVector->PutValue(k,result);
664 } 663 }
665 // G4cout<<k<<"\t"<<result<<G4endl; 664 // G4cout<<k<<"\t"<<result<<G4endl;
666 } 665 }
667 return ; 666 return ;
668 } 667 }
669 668
670 669
671 ////////////////////////////////////////////// 670 ////////////////////////////////////////////////////////////////////////
672 // 671 //
673 // Calculation of the PAI integral dEdx 672 // Calculation of the PAI integral dEdx
674 // = mean energy loss per unit length, keV/cm 673 // = mean energy loss per unit length, keV/cm
675 // 674 //
676 675
677 void G4InitXscPAI::IntegralPAIdEdx(G4double bg 676 void G4InitXscPAI::IntegralPAIdEdx(G4double bg2, G4double Tmax)
678 { 677 {
679 G4int i,k,i1,i2; 678 G4int i,k,i1,i2;
680 G4double energy1, energy2, result = 0.; 679 G4double energy1, energy2, result = 0.;
681 680
682 fBetaGammaSq = bg2; 681 fBetaGammaSq = bg2;
683 fTmax = Tmax; 682 fTmax = Tmax;
684 683
685 delete fPAIdEdxVector; << 684 if(fPAIdEdxVector) delete fPAIdEdxVector;
686 685
687 fPAIdEdxVector = new G4PhysicsLogVector( (*( 686 fPAIdEdxVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
688 fPAIdEdxVector->PutValue(fPAIbin-1,result); 687 fPAIdEdxVector->PutValue(fPAIbin-1,result);
689 688
690 for( i = fIntervalNumber - 1; i >= 0; i-- ) 689 for( i = fIntervalNumber - 1; i >= 0; i-- )
691 { 690 {
692 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 691 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
693 } 692 }
694 if (i < 0) i = 0; // Tmax should be more tha 693 if (i < 0) i = 0; // Tmax should be more than
695 // first ionisation potent 694 // first ionisation potential
696 fIntervalTmax = i; 695 fIntervalTmax = i;
697 696
698 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 697 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
699 698
700 for( k = fPAIbin - 2; k >= 0; k-- ) 699 for( k = fPAIbin - 2; k >= 0; k-- )
701 { 700 {
702 energy1 = fPAIdEdxVector->GetLowEdgeEnergy 701 energy1 = fPAIdEdxVector->GetLowEdgeEnergy(k);
703 energy2 = fPAIdEdxVector->GetLowEdgeEnergy 702 energy2 = fPAIdEdxVector->GetLowEdgeEnergy(k+1);
704 703
705 for( i = fIntervalTmax; i >= 0; i-- ) 704 for( i = fIntervalTmax; i >= 0; i-- )
706 { 705 {
707 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 706 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
708 } 707 }
709 if(i < 0) i = 0; 708 if(i < 0) i = 0;
710 i2 = i; 709 i2 = i;
711 710
712 for( i = fIntervalTmax; i >= 0; i-- ) 711 for( i = fIntervalTmax; i >= 0; i-- )
713 { 712 {
714 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 713 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
715 } 714 }
716 if(i < 0) i = 0; 715 if(i < 0) i = 0;
717 i1 = i; 716 i1 = i;
718 717
719 if( i1 == i2 ) 718 if( i1 == i2 )
720 { 719 {
721 fCurrentInterval = i1; 720 fCurrentInterval = i1;
722 result += integral.Legendre10(this,&G4In 721 result += integral.Legendre10(this,&G4InitXscPAI::DifPAIdEdx,
723 energy1,en 722 energy1,energy2);
724 fPAIdEdxVector->PutValue(k,result); 723 fPAIdEdxVector->PutValue(k,result);
725 } 724 }
726 else 725 else
727 { 726 {
728 for( i = i2; i >= i1; i-- ) 727 for( i = i2; i >= i1; i-- )
729 { 728 {
730 fCurrentInterval = i; 729 fCurrentInterval = i;
731 730
732 if( i==i2 ) result += integral. 731 if( i==i2 ) result += integral.Legendre10(this,
733 &G4InitXscPAI::DifP 732 &G4InitXscPAI::DifPAIdEdx,
734 (*(*fMatSandiaMatri 733 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
735 734
736 else if( i == i1 ) result += integral.Legend 735 else if( i == i1 ) result += integral.Legendre10(this,
737 &G4InitXscPAI::DifP 736 &G4InitXscPAI::DifPAIdEdx,energy1,
738 (*(*fMatSandiaMatri 737 (*(*fMatSandiaMatrix)[i+1])[0]);
739 738
740 else result += integral. 739 else result += integral.Legendre10(this,
741 &G4InitXscPAI::DifP 740 &G4InitXscPAI::DifPAIdEdx,
742 (*(*fMatSandiaMatrix)[i 741 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
743 } 742 }
744 fPAIdEdxVector->PutValue(k,result); 743 fPAIdEdxVector->PutValue(k,result);
745 } 744 }
746 // G4cout<<k<<"\t"<<result<<G4endl; 745 // G4cout<<k<<"\t"<<result<<G4endl;
747 } 746 }
748 return ; 747 return ;
749 } 748 }
750 749
751 ////////////////////////////////////////////// 750 ////////////////////////////////////////////////////////////////////////
752 // 751 //
753 // Calculation of the PAI Cerenkov integral cr 752 // Calculation of the PAI Cerenkov integral cross-section
754 // fIntegralCrenkov[1] = specific Crenkov ioni 753 // fIntegralCrenkov[1] = specific Crenkov ionisation, 1/cm
755 // and fIntegralCerenkov[0] = mean Cerenkov lo 754 // and fIntegralCerenkov[0] = mean Cerenkov loss per cm in keV/cm
756 755
757 void G4InitXscPAI::IntegralCherenkov(G4double 756 void G4InitXscPAI::IntegralCherenkov(G4double bg2, G4double Tmax)
758 { 757 {
759 G4int i,k,i1,i2; 758 G4int i,k,i1,i2;
760 G4double energy1, energy2, beta2, module2, c 759 G4double energy1, energy2, beta2, module2, cos2, width, result = 0.;
761 760
762 fBetaGammaSq = bg2; 761 fBetaGammaSq = bg2;
763 fTmax = Tmax; 762 fTmax = Tmax;
764 beta2 = bg2/(1+bg2); 763 beta2 = bg2/(1+bg2);
765 764
766 delete fPAIphotonVector; << 765 if(fPAIphotonVector) delete fPAIphotonVector;
767 delete fChCosSqVector; << 766 if(fChCosSqVector) delete fChCosSqVector;
768 delete fChWidthVector; << 767 if(fChWidthVector) delete fChWidthVector;
769 768
770 fPAIphotonVector = new G4PhysicsLogVector( ( 769 fPAIphotonVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
771 fChCosSqVector = new G4PhysicsLogVector( (*( 770 fChCosSqVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
772 fChWidthVector = new G4PhysicsLogVector( (*( 771 fChWidthVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
773 772
774 fPAIphotonVector->PutValue(fPAIbin-1,result) 773 fPAIphotonVector->PutValue(fPAIbin-1,result);
775 fChCosSqVector->PutValue(fPAIbin-1,1.); 774 fChCosSqVector->PutValue(fPAIbin-1,1.);
776 fChWidthVector->PutValue(fPAIbin-1,1e-7); 775 fChWidthVector->PutValue(fPAIbin-1,1e-7);
777 776
778 for( i = fIntervalNumber - 1; i >= 0; i-- ) 777 for( i = fIntervalNumber - 1; i >= 0; i-- )
779 { 778 {
780 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 779 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
781 } 780 }
782 if (i < 0) i = 0; // Tmax should be more tha 781 if (i < 0) i = 0; // Tmax should be more than
783 // first ionisation potent 782 // first ionisation potential
784 fIntervalTmax = i; 783 fIntervalTmax = i;
785 784
786 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 785 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
787 786
788 for( k = fPAIbin - 2; k >= 0; k-- ) 787 for( k = fPAIbin - 2; k >= 0; k-- )
789 { 788 {
790 energy1 = fPAIphotonVector->GetLowEdgeEner 789 energy1 = fPAIphotonVector->GetLowEdgeEnergy(k);
791 energy2 = fPAIphotonVector->GetLowEdgeEner 790 energy2 = fPAIphotonVector->GetLowEdgeEnergy(k+1);
792 791
793 for( i = fIntervalTmax; i >= 0; i-- ) 792 for( i = fIntervalTmax; i >= 0; i-- )
794 { 793 {
795 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 794 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
796 } 795 }
797 if(i < 0) i = 0; 796 if(i < 0) i = 0;
798 i2 = i; 797 i2 = i;
799 798
800 for( i = fIntervalTmax; i >= 0; i-- ) 799 for( i = fIntervalTmax; i >= 0; i-- )
801 { 800 {
802 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 801 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
803 } 802 }
804 if(i < 0) i = 0; 803 if(i < 0) i = 0;
805 i1 = i; 804 i1 = i;
806 805
807 module2 = ModuleSqDielectricConst(i1,energ 806 module2 = ModuleSqDielectricConst(i1,energy1);
808 cos2 = RePartDielectricConst(energy1)/m 807 cos2 = RePartDielectricConst(energy1)/module2/beta2;
809 width = ImPartDielectricConst(i1,energy1 808 width = ImPartDielectricConst(i1,energy1)/module2/beta2;
810 809
811 fChCosSqVector->PutValue(k,cos2); 810 fChCosSqVector->PutValue(k,cos2);
812 fChWidthVector->PutValue(k,width); 811 fChWidthVector->PutValue(k,width);
813 812
814 if( i1 == i2 ) 813 if( i1 == i2 )
815 { 814 {
816 fCurrentInterval = i1; 815 fCurrentInterval = i1;
817 result += integral.Legendre10(this,&G4In 816 result += integral.Legendre10(this,&G4InitXscPAI::PAIdNdxCherenkov,
818 energy1,en 817 energy1,energy2);
819 fPAIphotonVector->PutValue(k,result); 818 fPAIphotonVector->PutValue(k,result);
820 819
821 } 820 }
822 else 821 else
823 { 822 {
824 for( i = i2; i >= i1; i-- ) 823 for( i = i2; i >= i1; i-- )
825 { 824 {
826 fCurrentInterval = i; 825 fCurrentInterval = i;
827 826
828 if( i==i2 ) result += integral. 827 if( i==i2 ) result += integral.Legendre10(this,
829 &G4InitXscPAI::PAId 828 &G4InitXscPAI::PAIdNdxCherenkov,
830 (*(*fMatSandiaMatri 829 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
831 830
832 else if( i == i1 ) result += integral.Legend 831 else if( i == i1 ) result += integral.Legendre10(this,
833 &G4InitXscPAI::PAId 832 &G4InitXscPAI::PAIdNdxCherenkov,energy1,
834 (*(*fMatSandiaMatri 833 (*(*fMatSandiaMatrix)[i+1])[0]);
835 834
836 else result += integral. 835 else result += integral.Legendre10(this,
837 &G4InitXscPAI::PAId 836 &G4InitXscPAI::PAIdNdxCherenkov,
838 (*(*fMatSandiaMatrix)[i 837 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
839 } 838 }
840 fPAIphotonVector->PutValue(k,result); 839 fPAIphotonVector->PutValue(k,result);
841 } 840 }
842 // G4cout<<k<<"\t"<<result<<G4endl; 841 // G4cout<<k<<"\t"<<result<<G4endl;
843 } 842 }
844 return; 843 return;
845 } // end of IntegralCerenkov 844 } // end of IntegralCerenkov
846 845
847 ////////////////////////////////////////////// 846 ////////////////////////////////////////////////////////////////////////
848 // 847 //
849 // Calculation of the PAI Plasmon integral cro 848 // Calculation of the PAI Plasmon integral cross-section
850 // fIntegralPlasmon[1] = splasmon primary ioni 849 // fIntegralPlasmon[1] = splasmon primary ionisation, 1/cm
851 // and fIntegralPlasmon[0] = mean plasmon loss 850 // and fIntegralPlasmon[0] = mean plasmon loss per cm in keV/cm
852 851
853 void G4InitXscPAI::IntegralPlasmon(G4double bg 852 void G4InitXscPAI::IntegralPlasmon(G4double bg2, G4double Tmax)
854 { 853 {
855 G4int i,k,i1,i2; 854 G4int i,k,i1,i2;
856 G4double energy1, energy2, result = 0.; 855 G4double energy1, energy2, result = 0.;
857 856
858 fBetaGammaSq = bg2; 857 fBetaGammaSq = bg2;
859 fTmax = Tmax; 858 fTmax = Tmax;
860 859
861 delete fPAIelectronVector; << 860 if(fPAIelectronVector) delete fPAIelectronVector;
862 861
863 fPAIelectronVector = new G4PhysicsLogVector( 862 fPAIelectronVector = new G4PhysicsLogVector( (*(*fMatSandiaMatrix)[0])[0], fTmax, fPAIbin);
864 fPAIelectronVector->PutValue(fPAIbin-1,resul 863 fPAIelectronVector->PutValue(fPAIbin-1,result);
865 864
866 for( i = fIntervalNumber - 1; i >= 0; i-- ) 865 for( i = fIntervalNumber - 1; i >= 0; i-- )
867 { 866 {
868 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) 867 if( Tmax >= (*(*fMatSandiaMatrix)[i])[0] ) break;
869 } 868 }
870 if (i < 0) i = 0; // Tmax should be more tha 869 if (i < 0) i = 0; // Tmax should be more than
871 // first ionisation potent 870 // first ionisation potential
872 fIntervalTmax = i; 871 fIntervalTmax = i;
873 872
874 G4Integrator<G4InitXscPAI,G4double(G4InitXsc 873 G4Integrator<G4InitXscPAI,G4double(G4InitXscPAI::*)(G4double)> integral;
875 874
876 for( k = fPAIbin - 2; k >= 0; k-- ) 875 for( k = fPAIbin - 2; k >= 0; k-- )
877 { 876 {
878 energy1 = fPAIelectronVector->GetLowEdgeEn 877 energy1 = fPAIelectronVector->GetLowEdgeEnergy(k);
879 energy2 = fPAIelectronVector->GetLowEdgeEn 878 energy2 = fPAIelectronVector->GetLowEdgeEnergy(k+1);
880 879
881 for( i = fIntervalTmax; i >= 0; i-- ) 880 for( i = fIntervalTmax; i >= 0; i-- )
882 { 881 {
883 if( energy2 > (*(*fMatSandiaMatrix)[i])[ 882 if( energy2 > (*(*fMatSandiaMatrix)[i])[0] ) break;
884 } 883 }
885 if(i < 0) i = 0; 884 if(i < 0) i = 0;
886 i2 = i; 885 i2 = i;
887 886
888 for( i = fIntervalTmax; i >= 0; i-- ) 887 for( i = fIntervalTmax; i >= 0; i-- )
889 { 888 {
890 if( energy1 > (*(*fMatSandiaMatrix)[i])[ 889 if( energy1 > (*(*fMatSandiaMatrix)[i])[0] ) break;
891 } 890 }
892 if(i < 0) i = 0; 891 if(i < 0) i = 0;
893 i1 = i; 892 i1 = i;
894 893
895 if( i1 == i2 ) 894 if( i1 == i2 )
896 { 895 {
897 fCurrentInterval = i1; 896 fCurrentInterval = i1;
898 result += integral.Legendre10(this,&G4In 897 result += integral.Legendre10(this,&G4InitXscPAI::PAIdNdxPlasmon,
899 energy1,en 898 energy1,energy2);
900 fPAIelectronVector->PutValue(k,result); 899 fPAIelectronVector->PutValue(k,result);
901 } 900 }
902 else 901 else
903 { 902 {
904 for( i = i2; i >= i1; i-- ) 903 for( i = i2; i >= i1; i-- )
905 { 904 {
906 fCurrentInterval = i; 905 fCurrentInterval = i;
907 906
908 if( i==i2 ) result += integral. 907 if( i==i2 ) result += integral.Legendre10(this,
909 &G4InitXscPAI::PAId 908 &G4InitXscPAI::PAIdNdxPlasmon,
910 (*(*fMatSandiaMatri 909 (*(*fMatSandiaMatrix)[i])[0] ,energy2);
911 910
912 else if( i == i1 ) result += integral.Legend 911 else if( i == i1 ) result += integral.Legendre10(this,
913 &G4InitXscPAI::PAId 912 &G4InitXscPAI::PAIdNdxPlasmon,energy1,
914 (*(*fMatSandiaMatri 913 (*(*fMatSandiaMatrix)[i+1])[0]);
915 914
916 else result += integral. 915 else result += integral.Legendre10(this,
917 &G4InitXscPAI::PAId 916 &G4InitXscPAI::PAIdNdxPlasmon,
918 (*(*fMatSandiaMatrix)[i 917 (*(*fMatSandiaMatrix)[i])[0] ,(*(*fMatSandiaMatrix)[i+1])[0]);
919 } 918 }
920 fPAIelectronVector->PutValue(k,result); 919 fPAIelectronVector->PutValue(k,result);
921 } 920 }
922 // G4cout<<k<<"\t"<<result<<G4endl; 921 // G4cout<<k<<"\t"<<result<<G4endl;
923 } 922 }
924 return; 923 return;
925 } // end of IntegralPlasmon 924 } // end of IntegralPlasmon
926 925
927 926
928 ////////////////////////////////////////////// 927 /////////////////////////////////////////////////////////////////////////
929 // 928 //
930 // 929 //
931 930
932 G4double G4InitXscPAI::GetPhotonLambda( G4doub 931 G4double G4InitXscPAI::GetPhotonLambda( G4double omega )
933 { 932 {
934 G4int i ; 933 G4int i ;
935 G4double omega2, omega3, omega4, a1, a2, a3, 934 G4double omega2, omega3, omega4, a1, a2, a3, a4, lambda ;
936 935
937 omega2 = omega*omega ; 936 omega2 = omega*omega ;
938 omega3 = omega2*omega ; 937 omega3 = omega2*omega ;
939 omega4 = omega2*omega2 ; 938 omega4 = omega2*omega2 ;
940 939
941 for(i = 0; i < fIntervalNumber;i++) 940 for(i = 0; i < fIntervalNumber;i++)
942 { 941 {
943 if( omega < (*(*fMatSandiaMatrix)[i])[0] ) 942 if( omega < (*(*fMatSandiaMatrix)[i])[0] ) break ;
944 } 943 }
945 if( i == 0 ) 944 if( i == 0 )
946 { 945 {
947 G4cout<<"Warning: energy in G4InitXscPAI:: 946 G4cout<<"Warning: energy in G4InitXscPAI::GetPhotonLambda < I1"<<G4endl;
948 } 947 }
949 else i-- ; 948 else i-- ;
950 949
951 a1 = (*(*fMatSandiaMatrix)[i])[1]; 950 a1 = (*(*fMatSandiaMatrix)[i])[1];
952 a2 = (*(*fMatSandiaMatrix)[i])[2]; 951 a2 = (*(*fMatSandiaMatrix)[i])[2];
953 a3 = (*(*fMatSandiaMatrix)[i])[3]; 952 a3 = (*(*fMatSandiaMatrix)[i])[3];
954 a4 = (*(*fMatSandiaMatrix)[i])[4]; 953 a4 = (*(*fMatSandiaMatrix)[i])[4];
955 954
956 lambda = 1./(a1/omega + a2/omega2 + a3/omega 955 lambda = 1./(a1/omega + a2/omega2 + a3/omega3 + a4/omega4);
957 956
958 return lambda ; 957 return lambda ;
959 } 958 }
960 959
961 ////////////////////////////////////////////// 960 /////////////////////////////////////////////////////////////////////////
962 // 961 //
963 // 962 //
964 963
965 ////////////////////////////////////////////// 964 /////////////////////////////////////////////////////////////////////////
966 // 965 //
967 // 966 //
968 967
969 G4double G4InitXscPAI::GetStepEnergyLoss( G4do 968 G4double G4InitXscPAI::GetStepEnergyLoss( G4double step )
970 { 969 {
971 G4double loss = 0.0 ; 970 G4double loss = 0.0 ;
972 loss *= step; 971 loss *= step;
973 972
974 return loss ; 973 return loss ;
975 } 974 }
976 975
977 ////////////////////////////////////////////// 976 /////////////////////////////////////////////////////////////////////////
978 // 977 //
979 // 978 //
980 979
981 G4double G4InitXscPAI::GetStepCerenkovLoss( G4 980 G4double G4InitXscPAI::GetStepCerenkovLoss( G4double step )
982 { 981 {
983 G4double loss = 0.0 ; 982 G4double loss = 0.0 ;
984 loss *= step; 983 loss *= step;
985 984
986 return loss ; 985 return loss ;
987 } 986 }
988 987
989 ////////////////////////////////////////////// 988 /////////////////////////////////////////////////////////////////////////
990 // 989 //
991 // 990 //
992 991
993 G4double G4InitXscPAI::GetStepPlasmonLoss( G4d 992 G4double G4InitXscPAI::GetStepPlasmonLoss( G4double step )
994 { 993 {
995 994
996 995
997 G4double loss = 0.0 ; 996 G4double loss = 0.0 ;
998 loss *= step; 997 loss *= step;
999 return loss ; 998 return loss ;
1000 } 999 }
1001 1000
1002 1001
1003 // 1002 //
1004 // end of G4InitXscPAI implementation file 1003 // end of G4InitXscPAI implementation file
1005 // 1004 //
1006 ///////////////////////////////////////////// 1005 ////////////////////////////////////////////////////////////////////////////
1007 1006
1008 1007