Geant4 11.2.2
Toolkit for the simulation of the passage of particles through matter
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G4PAIxSection.cc
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25//
26//
27//
28//
29// G4PAIxSection.cc -- class implementation file
30//
31// GEANT 4 class implementation file
32//
33// For information related to this code, please, contact
34// the Geant4 Collaboration.
35//
36// R&D: [email protected]
37//
38// History:
39//
40// 13.05.03 V. Grichine, bug fixed for maxEnergyTransfer > max interval energy
41// 28.05.01 V.Ivanchenko minor changes to provide ANSI -wall compilation
42// 17.05.01 V. Grichine, low energy extension down to 10*keV of proton
43// 20.11.98 adapted to a new Material/SandiaTable interface, mma
44// 11.06.97 V. Grichine, 1st version
45//
46
47#include "G4PAIxSection.hh"
48
49#include "globals.hh"
50#include "G4PhysicalConstants.hh"
51#include "G4SystemOfUnits.hh"
52#include "G4ios.hh"
53#include "G4Poisson.hh"
54#include "G4Material.hh"
55#include "G4MaterialCutsCouple.hh"
56#include "G4SandiaTable.hh"
57
58using namespace std;
59
60/* ******************************************************************
61
62// Init array of Lorentz factors
63
64const G4double G4PAIxSection::fLorentzFactor[22] =
65{
66 0.0 , 1.1 , 1.2 , 1.3 , 1.5 , 1.8 , 2.0 ,
67 2.5 , 3.0 , 4.0 , 7.0 , 10.0 , 20.0 , 40.0 ,
68 70.0 , 100.0 , 300.0 , 600.0 , 1000.0 , 3000.0 ,
69 10000.0 , 50000.0
70};
71
72const G4int G4PAIxSection::
73fRefGammaNumber = 29; // The number of gamma for creation of
74 // spline (9)
75
76***************************************************************** */
77
78// Local class constants
79
80const G4double G4PAIxSection::fDelta = 0.005; // 0.005 energy shift from interval border
81const G4double G4PAIxSection::fError = 0.005; // 0.005 error in lin-log approximation
82
83const G4int G4PAIxSection::fMaxSplineSize = 1000; // Max size of output spline
84 // arrays
85//////////////////////////////////////////////////////////////////
86//
87// Constructor
88//
89
90G4PAIxSection::G4PAIxSection()
91{
92 fSandia = nullptr;
93 fMatSandiaMatrix = nullptr;
94 fDensity = fElectronDensity = fNormalizationCof = fLowEnergyCof = 0.0;
95 fIntervalNumber = fSplineNumber = 0;
96 fVerbose = 0;
97
98 fSplineEnergy = G4DataVector(fMaxSplineSize,0.0);
99 fRePartDielectricConst = G4DataVector(fMaxSplineSize,0.0);
100 fImPartDielectricConst = G4DataVector(fMaxSplineSize,0.0);
101 fIntegralTerm = G4DataVector(fMaxSplineSize,0.0);
102 fDifPAIxSection = G4DataVector(fMaxSplineSize,0.0);
103 fdNdxCerenkov = G4DataVector(fMaxSplineSize,0.0);
104 fdNdxPlasmon = G4DataVector(fMaxSplineSize,0.0);
105 fdNdxMM = G4DataVector(fMaxSplineSize,0.0);
106 fdNdxResonance = G4DataVector(fMaxSplineSize,0.0);
107 fIntegralPAIxSection = G4DataVector(fMaxSplineSize,0.0);
108 fIntegralPAIdEdx = G4DataVector(fMaxSplineSize,0.0);
109 fIntegralCerenkov = G4DataVector(fMaxSplineSize,0.0);
110 fIntegralPlasmon = G4DataVector(fMaxSplineSize,0.0);
111 fIntegralMM = G4DataVector(fMaxSplineSize,0.0);
112 fIntegralResonance = G4DataVector(fMaxSplineSize,0.0);
113
114 fMaterialIndex = 0;
115
116 for( G4int i = 0; i < 500; ++i )
117 {
118 for( G4int j = 0; j < 112; ++j ) fPAItable[i][j] = 0.0;
119 }
120}
121
122//////////////////////////////////////////////////////////////////
123//
124// Constructor
125//
126
127G4PAIxSection::G4PAIxSection(G4MaterialCutsCouple* matCC)
128{
129 fDensity = matCC->GetMaterial()->GetDensity();
130 G4int matIndex = (G4int)matCC->GetMaterial()->GetIndex();
131 fMaterialIndex = matIndex;
132
133 const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
134 fSandia = (*theMaterialTable)[matIndex]->GetSandiaTable();
135
136 fVerbose = 0;
137
138 G4int i, j;
139 fMatSandiaMatrix = new G4OrderedTable();
140
141 for (i = 0; i < fSandia->GetMaxInterval()-1; ++i)
142 {
143 fMatSandiaMatrix->push_back(new G4DataVector(5,0.));
144 }
145 for (i = 0; i < fSandia->GetMaxInterval()-1; ++i)
146 {
147 (*(*fMatSandiaMatrix)[i])[0] = fSandia->GetSandiaMatTable(i,0);
148
149 for(j = 1; j < 5; ++j)
150 {
151 (*(*fMatSandiaMatrix)[i])[j] = fSandia->GetSandiaMatTable(i,j)*fDensity;
152 }
153 }
154 ComputeLowEnergyCof();
155 // fEnergyInterval = fA1 = fA2 = fA3 = fA4 = 0;
156}
157
158////////////////////////////////////////////////////////////////
159
160G4PAIxSection::G4PAIxSection(G4int materialIndex,
161 G4double maxEnergyTransfer)
162{
163 fSandia = nullptr;
164 fMatSandiaMatrix = nullptr;
165 fVerbose = 0;
166 const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
167 G4int i, j;
168
169 fMaterialIndex = materialIndex;
170 fDensity = (*theMaterialTable)[materialIndex]->GetDensity();
171 fElectronDensity = (*theMaterialTable)[materialIndex]->
172 GetElectronDensity();
173 fIntervalNumber = (*theMaterialTable)[materialIndex]->
174 GetSandiaTable()->GetMatNbOfIntervals();
175 fIntervalNumber--;
176 // G4cout<<fDensity<<"\t"<<fElectronDensity<<"\t"<<fIntervalNumber<<G4endl;
177
178 fEnergyInterval = G4DataVector(fIntervalNumber+2,0.0);
179 fA1 = G4DataVector(fIntervalNumber+2,0.0);
180 fA2 = G4DataVector(fIntervalNumber+2,0.0);
181 fA3 = G4DataVector(fIntervalNumber+2,0.0);
182 fA4 = G4DataVector(fIntervalNumber+2,0.0);
183
184 for(i = 1; i <= fIntervalNumber; i++ )
185 {
186 if(((*theMaterialTable)[materialIndex]->
187 GetSandiaTable()->GetSandiaCofForMaterial(i-1,0) >= maxEnergyTransfer) ||
188 i > fIntervalNumber )
189 {
190 fEnergyInterval[i] = maxEnergyTransfer;
191 fIntervalNumber = i;
192 break;
193 }
194 fEnergyInterval[i] = (*theMaterialTable)[materialIndex]->
195 GetSandiaTable()->GetSandiaCofForMaterial(i-1,0);
196 fA1[i] = (*theMaterialTable)[materialIndex]->
197 GetSandiaTable()->GetSandiaCofForMaterial(i-1,1);
198 fA2[i] = (*theMaterialTable)[materialIndex]->
199 GetSandiaTable()->GetSandiaCofForMaterial(i-1,2);
200 fA3[i] = (*theMaterialTable)[materialIndex]->
201 GetSandiaTable()->GetSandiaCofForMaterial(i-1,3);
202 fA4[i] = (*theMaterialTable)[materialIndex]->
203 GetSandiaTable()->GetSandiaCofForMaterial(i-1,4);
204 // G4cout<<i<<"\t"<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
205 // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
206 }
207 if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer)
208 {
209 fIntervalNumber++;
210 fEnergyInterval[fIntervalNumber] = maxEnergyTransfer;
211 }
212
213 // Now checking, if two borders are too close together
214
215 for(i=1;i<fIntervalNumber;i++)
216 {
217 if(fEnergyInterval[i+1]-fEnergyInterval[i] >
218 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i]))
219 {
220 continue;
221 }
222 else
223 {
224 for(j=i;j<fIntervalNumber;j++)
225 {
226 fEnergyInterval[j] = fEnergyInterval[j+1];
227 fA1[j] = fA1[j+1];
228 fA2[j] = fA2[j+1];
229 fA3[j] = fA3[j+1];
230 fA4[j] = fA4[j+1];
231 }
232 fIntervalNumber--;
233 i--;
234 }
235 }
236
237
238 /* *********************************
239
240 fSplineEnergy = new G4double[fMaxSplineSize];
241 fRePartDielectricConst = new G4double[fMaxSplineSize];
242 fImPartDielectricConst = new G4double[fMaxSplineSize];
243 fIntegralTerm = new G4double[fMaxSplineSize];
244 fDifPAIxSection = new G4double[fMaxSplineSize];
245 fIntegralPAIxSection = new G4double[fMaxSplineSize];
246
247 for(i=0;i<fMaxSplineSize;i++)
248 {
249 fSplineEnergy[i] = 0.0;
250 fRePartDielectricConst[i] = 0.0;
251 fImPartDielectricConst[i] = 0.0;
252 fIntegralTerm[i] = 0.0;
253 fDifPAIxSection[i] = 0.0;
254 fIntegralPAIxSection[i] = 0.0;
255 }
256 ************************************************** */
257 ComputeLowEnergyCof();
258 InitPAI(); // create arrays allocated above
259 /*
260 delete[] fEnergyInterval;
261 delete[] fA1;
262 delete[] fA2;
263 delete[] fA3;
264 delete[] fA4;
265 */
266}
267
268////////////////////////////////////////////////////////////////////////
269//
270// Constructor called from G4PAIPhotonModel !!!
271
272G4PAIxSection::G4PAIxSection( G4int materialIndex,
273 G4double maxEnergyTransfer,
274 G4double betaGammaSq,
275 G4double** photoAbsCof,
276 G4int intNumber )
277{
278 fSandia = nullptr;
279 fDensity = fElectronDensity = fNormalizationCof = fLowEnergyCof = 0.0;
280 fIntervalNumber = fSplineNumber = 0;
281 fVerbose = 0;
282
283 fSplineEnergy = G4DataVector(500,0.0);
284 fRePartDielectricConst = G4DataVector(500,0.0);
285 fImPartDielectricConst = G4DataVector(500,0.0);
286 fIntegralTerm = G4DataVector(500,0.0);
287 fDifPAIxSection = G4DataVector(500,0.0);
288 fdNdxCerenkov = G4DataVector(500,0.0);
289 fdNdxPlasmon = G4DataVector(500,0.0);
290 fdNdxMM = G4DataVector(500,0.0);
291 fdNdxResonance = G4DataVector(500,0.0);
292 fIntegralPAIxSection = G4DataVector(500,0.0);
293 fIntegralPAIdEdx = G4DataVector(500,0.0);
294 fIntegralCerenkov = G4DataVector(500,0.0);
295 fIntegralPlasmon = G4DataVector(500,0.0);
296 fIntegralMM = G4DataVector(500,0.0);
297 fIntegralResonance = G4DataVector(500,0.0);
298
299 for( G4int i = 0; i < 500; ++i )
300 {
301 for( G4int j = 0; j < 112; ++j ) fPAItable[i][j] = 0.0;
302 }
303
304 fSandia = nullptr;
305 fMatSandiaMatrix = nullptr;
306 const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
307 G4int i, j;
308
309 fMaterialIndex = materialIndex;
310 fDensity = (*theMaterialTable)[materialIndex]->GetDensity();
311 fElectronDensity = (*theMaterialTable)[materialIndex]->GetElectronDensity();
312
313 fIntervalNumber = intNumber;
314 fIntervalNumber--;
315 // G4cout<<fDensity<<"\t"<<fElectronDensity<<"\t"<<fIntervalNumber<<G4endl;
316
317 fEnergyInterval = G4DataVector(fIntervalNumber+2,0.0);
318 fA1 = G4DataVector(fIntervalNumber+2,0.0);
319 fA2 = G4DataVector(fIntervalNumber+2,0.0);
320 fA3 = G4DataVector(fIntervalNumber+2,0.0);
321 fA4 = G4DataVector(fIntervalNumber+2,0.0);
322
323
324 /*
325 fEnergyInterval = new G4double[fIntervalNumber+2];
326 fA1 = new G4double[fIntervalNumber+2];
327 fA2 = new G4double[fIntervalNumber+2];
328 fA3 = new G4double[fIntervalNumber+2];
329 fA4 = new G4double[fIntervalNumber+2];
330 */
331 for( i = 1; i <= fIntervalNumber; i++ )
332 {
333 if( ( photoAbsCof[i-1][0] >= maxEnergyTransfer ) ||
334 i > fIntervalNumber )
335 {
336 fEnergyInterval[i] = maxEnergyTransfer;
337 fIntervalNumber = i;
338 break;
339 }
340 fEnergyInterval[i] = photoAbsCof[i-1][0];
341 fA1[i] = photoAbsCof[i-1][1];
342 fA2[i] = photoAbsCof[i-1][2];
343 fA3[i] = photoAbsCof[i-1][3];
344 fA4[i] = photoAbsCof[i-1][4];
345 // G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
346 // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
347 }
348 // G4cout<<"i last = "<<i<<"; "<<"fIntervalNumber = "<<fIntervalNumber<<G4endl;
349
350 if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer)
351 {
352 fIntervalNumber++;
353 fEnergyInterval[fIntervalNumber] = maxEnergyTransfer;
354 }
355 // G4cout<<"after check of max energy transfer"<<G4endl;
356
357 for( i = 1; i <= fIntervalNumber; i++ )
358 {
359 // G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
360 // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
361 }
362 // Now checking, if two borders are too close together
363
364 for( i = 1; i < fIntervalNumber; i++ )
365 {
366 if(fEnergyInterval[i+1]-fEnergyInterval[i] >
367 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i]))
368 {
369 continue;
370 }
371 else
372 {
373 for(j=i;j<fIntervalNumber;j++)
374 {
375 fEnergyInterval[j] = fEnergyInterval[j+1];
376 fA1[j] = fA1[j+1];
377 fA2[j] = fA2[j+1];
378 fA3[j] = fA3[j+1];
379 fA4[j] = fA4[j+1];
380 }
381 fIntervalNumber--;
382 i--;
383 }
384 }
385 // G4cout<<"after check of close borders"<<G4endl;
386
387 for( i = 1; i <= fIntervalNumber; i++ )
388 {
389 // G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
390 // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
391 }
392
393 // Preparation of fSplineEnergy array corresponding to min ionisation, G~4
394
395 ComputeLowEnergyCof();
396 G4double betaGammaSqRef =
397 fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1;
398
399 NormShift(betaGammaSqRef);
400 SplainPAI(betaGammaSqRef);
401
402 // Preparation of integral PAI cross section for input betaGammaSq
403
404 for(i = 1; i <= fSplineNumber; i++)
405 {
406 fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
407 fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq);
408 fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
409 fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq);
410 fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq);
411
412 // G4cout<<i<<"; dNdxC = "<<fdNdxCerenkov[i]<<"; dNdxP = "<<fdNdxPlasmon[i]
413 // <<"; dNdxPAI = "<<fDifPAIxSection[i]<<G4endl;
414 }
415 IntegralCerenkov();
416 IntegralMM();
417 IntegralPlasmon();
418 IntegralResonance();
419 IntegralPAIxSection();
420 /*
421 delete[] fEnergyInterval;
422 delete[] fA1;
423 delete[] fA2;
424 delete[] fA3;
425 delete[] fA4;
426 */
427}
428
429////////////////////////////////////////////////////////////////////////
430//
431// Test Constructor with beta*gamma square value
432
433G4PAIxSection::G4PAIxSection( G4int materialIndex,
434 G4double maxEnergyTransfer,
435 G4double betaGammaSq )
436{
437 fSandia = nullptr;
438 fMatSandiaMatrix = nullptr;
439 fVerbose = 0;
440 const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
441
442 G4int i, j, numberOfElements;
443
444 fMaterialIndex = materialIndex;
445 fDensity = (*theMaterialTable)[materialIndex]->GetDensity();
446 fElectronDensity = (*theMaterialTable)[materialIndex]->GetElectronDensity();
447 numberOfElements = (G4int)(*theMaterialTable)[materialIndex]->GetNumberOfElements();
448
449 G4int* thisMaterialZ = new G4int[numberOfElements];
450
451 for( i = 0; i < numberOfElements; ++i )
452 {
453 thisMaterialZ[i] = (G4int)(*theMaterialTable)[materialIndex]->
454 GetElement(i)->GetZ();
455 }
456 // fSandia = new G4SandiaTable(materialIndex);
457 fSandia = (*theMaterialTable)[materialIndex]->GetSandiaTable();
458 G4SandiaTable thisMaterialSandiaTable(materialIndex);
459 fIntervalNumber = thisMaterialSandiaTable.SandiaIntervals(thisMaterialZ,
460 numberOfElements);
461 fIntervalNumber = thisMaterialSandiaTable.SandiaMixing
462 ( thisMaterialZ ,
463 (*theMaterialTable)[materialIndex]->GetFractionVector() ,
464 numberOfElements,fIntervalNumber);
465
466 fIntervalNumber--;
467
468 fEnergyInterval = G4DataVector(fIntervalNumber+2,0.0);
469 fA1 = G4DataVector(fIntervalNumber+2,0.0);
470 fA2 = G4DataVector(fIntervalNumber+2,0.0);
471 fA3 = G4DataVector(fIntervalNumber+2,0.0);
472 fA4 = G4DataVector(fIntervalNumber+2,0.0);
473
474 /*
475 fEnergyInterval = new G4double[fIntervalNumber+2];
476 fA1 = new G4double[fIntervalNumber+2];
477 fA2 = new G4double[fIntervalNumber+2];
478 fA3 = new G4double[fIntervalNumber+2];
479 fA4 = new G4double[fIntervalNumber+2];
480 */
481 for( i = 1; i <= fIntervalNumber; i++ )
482 {
483 if((thisMaterialSandiaTable.GetPhotoAbsorpCof(i,0) >= maxEnergyTransfer) ||
484 i > fIntervalNumber)
485 {
486 fEnergyInterval[i] = maxEnergyTransfer;
487 fIntervalNumber = i;
488 break;
489 }
490 fEnergyInterval[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,0);
491 fA1[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,1)*fDensity;
492 fA2[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,2)*fDensity;
493 fA3[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,3)*fDensity;
494 fA4[i] = thisMaterialSandiaTable.GetPhotoAbsorpCof(i,4)*fDensity;
495
496 }
497 if(fEnergyInterval[fIntervalNumber] != maxEnergyTransfer)
498 {
499 fIntervalNumber++;
500 fEnergyInterval[fIntervalNumber] = maxEnergyTransfer;
501 fA1[fIntervalNumber] = fA1[fIntervalNumber-1];
502 fA2[fIntervalNumber] = fA2[fIntervalNumber-1];
503 fA3[fIntervalNumber] = fA3[fIntervalNumber-1];
504 fA4[fIntervalNumber] = fA4[fIntervalNumber-1];
505 }
506 for(i=1;i<=fIntervalNumber;i++)
507 {
508 // G4cout<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
509 // <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
510 }
511 // Now checking, if two borders are too close together
512
513 for( i = 1; i < fIntervalNumber; i++ )
514 {
515 if(fEnergyInterval[i+1]-fEnergyInterval[i] >
516 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i]))
517 {
518 continue;
519 }
520 else
521 {
522 for( j = i; j < fIntervalNumber; j++ )
523 {
524 fEnergyInterval[j] = fEnergyInterval[j+1];
525 fA1[j] = fA1[j+1];
526 fA2[j] = fA2[j+1];
527 fA3[j] = fA3[j+1];
528 fA4[j] = fA4[j+1];
529 }
530 fIntervalNumber--;
531 i--;
532 }
533 }
534
535 /* *********************************
536 fSplineEnergy = new G4double[fMaxSplineSize];
537 fRePartDielectricConst = new G4double[fMaxSplineSize];
538 fImPartDielectricConst = new G4double[fMaxSplineSize];
539 fIntegralTerm = new G4double[fMaxSplineSize];
540 fDifPAIxSection = new G4double[fMaxSplineSize];
541 fIntegralPAIxSection = new G4double[fMaxSplineSize];
542
543 for(i=0;i<fMaxSplineSize;i++)
544 {
545 fSplineEnergy[i] = 0.0;
546 fRePartDielectricConst[i] = 0.0;
547 fImPartDielectricConst[i] = 0.0;
548 fIntegralTerm[i] = 0.0;
549 fDifPAIxSection[i] = 0.0;
550 fIntegralPAIxSection[i] = 0.0;
551 }
552 */ ////////////////////////
553
554 // Preparation of fSplineEnergy array corresponding to min ionisation, G~4
555
556 ComputeLowEnergyCof();
557 G4double betaGammaSqRef =
558 fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1;
559
560 NormShift(betaGammaSqRef);
561 SplainPAI(betaGammaSqRef);
562
563 // Preparation of integral PAI cross section for input betaGammaSq
564
565 for(i = 1; i <= fSplineNumber; i++)
566 {
567 fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq);
568 fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
569 fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq);
570 fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
571 fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq);
572 }
573 IntegralPAIxSection();
574 IntegralCerenkov();
575 IntegralMM();
576 IntegralPlasmon();
577 IntegralResonance();
578}
579
580////////////////////////////////////////////////////////////////////////////
581//
582// Destructor
583
584G4PAIxSection::~G4PAIxSection()
585{
586 /* ************************
587 delete[] fSplineEnergy ;
588 delete[] fRePartDielectricConst;
589 delete[] fImPartDielectricConst;
590 delete[] fIntegralTerm ;
591 delete[] fDifPAIxSection ;
592 delete[] fIntegralPAIxSection ;
593 */ ////////////////////////
594 delete fMatSandiaMatrix;
595}
596
597G4double G4PAIxSection::GetLorentzFactor(G4int j) const
598{
599 return fLorentzFactor[j];
600}
601
602////////////////////////////////////////////////////////////////////////
603//
604// Constructor with beta*gamma square value called from G4PAIPhotModel/Data
605
606void G4PAIxSection::Initialize( const G4Material* material,
607 G4double maxEnergyTransfer,
608 G4double betaGammaSq,
609 G4SandiaTable* sandia)
610{
611 if(fVerbose > 0)
612 {
613 G4cout<<G4endl;
614 G4cout<<"G4PAIxSection::Initialize(...,G4SandiaTable* sandia)"<<G4endl;
615 G4cout<<G4endl;
616 }
617 G4int i, j;
618
619 fSandia = sandia;
620 fIntervalNumber = sandia->GetMaxInterval();
621 fDensity = material->GetDensity();
622 fElectronDensity = material->GetElectronDensity();
623
624 // fIntervalNumber--;
625
626 if( fVerbose > 0 )
627 {
628 G4cout<<"fDensity = "<<fDensity<<"\t"<<fElectronDensity<<"\t fIntervalNumber = "<<fIntervalNumber<<G4endl;
629 }
630 fEnergyInterval = G4DataVector(fIntervalNumber+2,0.0);
631 fA1 = G4DataVector(fIntervalNumber+2,0.0);
632 fA2 = G4DataVector(fIntervalNumber+2,0.0);
633 fA3 = G4DataVector(fIntervalNumber+2,0.0);
634 fA4 = G4DataVector(fIntervalNumber+2,0.0);
635
636 for( i = 1; i <= fIntervalNumber; i++ )
637 {
638 if ( sandia->GetSandiaMatTablePAI(i-1,0) < 1.*eV && sandia->GetLowerI1() == false)
639 {
640 fIntervalNumber--;
641 continue;
642 }
643 if( ( sandia->GetSandiaMatTablePAI(i-1,0) >= maxEnergyTransfer ) || i >= fIntervalNumber )
644 {
645 fEnergyInterval[i] = maxEnergyTransfer;
646 fIntervalNumber = i;
647 break;
648 }
649 fEnergyInterval[i] = sandia->GetSandiaMatTablePAI(i-1,0);
650 fA1[i] = sandia->GetSandiaMatTablePAI(i-1,1);
651 fA2[i] = sandia->GetSandiaMatTablePAI(i-1,2);
652 fA3[i] = sandia->GetSandiaMatTablePAI(i-1,3);
653 fA4[i] = sandia->GetSandiaMatTablePAI(i-1,4);
654
655 if( fVerbose > 0 )
656 {
657 G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
658 <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
659 }
660 }
661 if( fVerbose > 0 ) G4cout<<"last i = "<<i<<"; "<<"fIntervalNumber = "<<fIntervalNumber<<G4endl;
662
663 if( fEnergyInterval[fIntervalNumber] != maxEnergyTransfer )
664 {
665 fIntervalNumber++;
666 fEnergyInterval[fIntervalNumber] = maxEnergyTransfer;
667 }
668 if( fVerbose > 0 )
669 {
670 for( i = 1; i <= fIntervalNumber; i++ )
671 {
672 G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
673 <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
674 }
675 }
676 if( fVerbose > 0 ) G4cout<<"Now checking, if two borders are too close together"<<G4endl;
677
678 for( i = 1; i < fIntervalNumber; i++ )
679 {
680 if( fEnergyInterval[i+1]-fEnergyInterval[i] >
681 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i]) && fEnergyInterval[i] > 0.) continue;
682 else
683 {
684 if( fVerbose > 0 ) G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<<"\t"<<fEnergyInterval[i+1]/keV;
685
686 for( j = i; j < fIntervalNumber; j++ )
687 {
688 fEnergyInterval[j] = fEnergyInterval[j+1];
689 fA1[j] = fA1[j+1];
690 fA2[j] = fA2[j+1];
691 fA3[j] = fA3[j+1];
692 fA4[j] = fA4[j+1];
693 }
694 fIntervalNumber--;
695 i--;
696 }
697 }
698 if( fVerbose > 0 )
699 {
700 for( i = 1; i <= fIntervalNumber; i++ )
701 {
702 G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
703 <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
704 }
705 }
706 // Preparation of fSplineEnergy array corresponding to min ionisation, G~4
707
708 ComputeLowEnergyCof(material);
709
710 G4double betaGammaSqRef =
711 fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1;
712
713 NormShift(betaGammaSqRef);
714 SplainPAI(betaGammaSqRef);
715
716 // Preparation of integral PAI cross section for input betaGammaSq
717
718 for( i = 1; i <= fSplineNumber; i++ )
719 {
720 fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq);
721
722
723 fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
724 fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq);
725 fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
726 fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq);
727 }
728 IntegralPAIxSection();
729 IntegralCerenkov();
730 IntegralMM();
731 IntegralPlasmon();
732 IntegralResonance();
733
734 for( i = 1; i <= fSplineNumber; i++ )
735 {
736 if(fVerbose>0) G4cout<<i<<"; w = "<<fSplineEnergy[i]/keV<<" keV; dN/dx_>w = "<<fIntegralPAIxSection[i]<<" 1/mm"<<G4endl;
737 }
738}
739
740
741/////////////////////////////////////////////////////////////////////////
742//
743// Compute low energy cof. It reduces PAI xsc for Lorentz factors less than 4.
744//
745
746void G4PAIxSection::ComputeLowEnergyCof(const G4Material* material)
747{
748 G4int i, numberOfElements = (G4int)material->GetNumberOfElements();
749 G4double sumZ = 0., sumCof = 0.;
750
751 static const G4double p0 = 1.20923e+00;
752 static const G4double p1 = 3.53256e-01;
753 static const G4double p2 = -1.45052e-03;
754
755 G4double* thisMaterialZ = new G4double[numberOfElements];
756 G4double* thisMaterialCof = new G4double[numberOfElements];
757
758 for( i = 0; i < numberOfElements; ++i )
759 {
760 thisMaterialZ[i] = material->GetElement(i)->GetZ();
761 sumZ += thisMaterialZ[i];
762 thisMaterialCof[i] = p0+p1*thisMaterialZ[i]+p2*thisMaterialZ[i]*thisMaterialZ[i];
763 }
764 for( i = 0; i < numberOfElements; ++i )
765 {
766 sumCof += thisMaterialCof[i]*thisMaterialZ[i]/sumZ;
767 }
768 fLowEnergyCof = sumCof;
769 delete [] thisMaterialZ;
770 delete [] thisMaterialCof;
771 // G4cout<<"fLowEnergyCof = "<<fLowEnergyCof<<G4endl;
772}
773
774/////////////////////////////////////////////////////////////////////////
775//
776// Compute low energy cof. It reduces PAI xsc for Lorentz factors less than 4.
777//
778
779void G4PAIxSection::ComputeLowEnergyCof()
780{
781 const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
782 G4int i, numberOfElements = (G4int)(*theMaterialTable)[fMaterialIndex]->GetNumberOfElements();
783 G4double sumZ = 0., sumCof = 0.;
784
785 const G4double p0 = 1.20923e+00;
786 const G4double p1 = 3.53256e-01;
787 const G4double p2 = -1.45052e-03;
788
789 G4double* thisMaterialZ = new G4double[numberOfElements];
790 G4double* thisMaterialCof = new G4double[numberOfElements];
791
792 for( i = 0; i < numberOfElements; ++i )
793 {
794 thisMaterialZ[i] = (*theMaterialTable)[fMaterialIndex]->GetElement(i)->GetZ();
795 sumZ += thisMaterialZ[i];
796 thisMaterialCof[i] = p0+p1*thisMaterialZ[i]+p2*thisMaterialZ[i]*thisMaterialZ[i];
797 }
798 for( i = 0; i < numberOfElements; ++i )
799 {
800 sumCof += thisMaterialCof[i]*thisMaterialZ[i]/sumZ;
801 }
802 fLowEnergyCof = sumCof;
803 // G4cout<<"fLowEnergyCof = "<<fLowEnergyCof<<G4endl;
804 delete [] thisMaterialZ;
805 delete [] thisMaterialCof;
806}
807
808/////////////////////////////////////////////////////////////////////////
809//
810// General control function for class G4PAIxSection
811//
812
813void G4PAIxSection::InitPAI()
814{
815 G4int i;
816 G4double betaGammaSq = fLorentzFactor[fRefGammaNumber]*
817 fLorentzFactor[fRefGammaNumber] - 1;
818
819 // Preparation of integral PAI cross section for reference gamma
820
821 NormShift(betaGammaSq);
822 SplainPAI(betaGammaSq);
823
824 IntegralPAIxSection();
825 IntegralCerenkov();
826 IntegralMM();
827 IntegralPlasmon();
828 IntegralResonance();
829
830 for(i = 0; i<= fSplineNumber; i++)
831 {
832 fPAItable[i][fRefGammaNumber] = fIntegralPAIxSection[i];
833 if(i != 0)
834 {
835 fPAItable[i][0] = fSplineEnergy[i];
836 }
837 }
838 fPAItable[0][0] = fSplineNumber;
839
840 for(G4int j = 1; j < 112; j++) // for other gammas
841 {
842 if( j == fRefGammaNumber ) continue;
843
844 betaGammaSq = fLorentzFactor[j]*fLorentzFactor[j] - 1;
845
846 for(i = 1; i <= fSplineNumber; i++)
847 {
848 fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq);
849 fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
850 fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq);
851 fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
852 fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq);
853 }
854 IntegralPAIxSection();
855 IntegralCerenkov();
856 IntegralMM();
857 IntegralPlasmon();
858 IntegralResonance();
859
860 for(i = 0; i <= fSplineNumber; i++)
861 {
862 fPAItable[i][j] = fIntegralPAIxSection[i];
863 }
864 }
865
866}
867
868///////////////////////////////////////////////////////////////////////
869//
870// Shifting from borders to intervals Creation of first energy points
871//
872
873void G4PAIxSection::NormShift(G4double betaGammaSq)
874{
875 G4int i, j;
876
877 if(fVerbose>0) G4cout<<" G4PAIxSection::NormShift call "<<G4endl;
878
879
880 for( i = 1; i <= fIntervalNumber-1; i++ )
881 {
882 for( j = 1; j <= 2; j++ )
883 {
884 fSplineNumber = (i-1)*2 + j;
885
886 if( j == 1 ) fSplineEnergy[fSplineNumber] = fEnergyInterval[i ]*(1+fDelta);
887 else fSplineEnergy[fSplineNumber] = fEnergyInterval[i+1]*(1-fDelta);
888 if(fVerbose>0) G4cout<<"cn = "<<fSplineNumber<<"; "<<"w = "<<fSplineEnergy[fSplineNumber]/keV<<" keV"<<G4endl;
889 }
890 }
891 fIntegralTerm[1]=RutherfordIntegral(1,fEnergyInterval[1],fSplineEnergy[1]);
892
893 j = 1;
894
895 for( i = 2; i <= fSplineNumber; i++ )
896 {
897 if( fSplineEnergy[i]<fEnergyInterval[j+1] )
898 {
899 fIntegralTerm[i] = fIntegralTerm[i-1] +
900 RutherfordIntegral(j,fSplineEnergy[i-1],
901 fSplineEnergy[i] );
902 }
903 else
904 {
905 G4double x = RutherfordIntegral(j,fSplineEnergy[i-1],
906 fEnergyInterval[j+1] );
907 j++;
908 fIntegralTerm[i] = fIntegralTerm[i-1] + x +
909 RutherfordIntegral(j,fEnergyInterval[j],
910 fSplineEnergy[i] );
911 }
912 if(fVerbose>0) G4cout<<i<<" Shift: w = "<<fSplineEnergy[i]/keV<<" keV \t"<<fIntegralTerm[i]<<"\n"<<G4endl;
913 }
914 fNormalizationCof = 2*pi*pi*hbarc*hbarc*fine_structure_const/electron_mass_c2;
915 fNormalizationCof *= fElectronDensity/fIntegralTerm[fSplineNumber];
916
917 // G4cout<<"fNormalizationCof = "<<fNormalizationCof<<G4endl;
918
919 // Calculation of PAI differrential cross-section (1/(keV*cm))
920 // in the energy points near borders of energy intervals
921
922 for(G4int k = 1; k <= fIntervalNumber-1; k++ )
923 {
924 for( j = 1; j <= 2; j++ )
925 {
926 i = (k-1)*2 + j;
927 fImPartDielectricConst[i] = fNormalizationCof*
928 ImPartDielectricConst(k,fSplineEnergy[i]);
929 fRePartDielectricConst[i] = fNormalizationCof*
930 RePartDielectricConst(fSplineEnergy[i]);
931 fIntegralTerm[i] *= fNormalizationCof;
932
933 fDifPAIxSection[i] = DifPAIxSection(i,betaGammaSq);
934 fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
935 fdNdxMM[i] = PAIdNdxMM(i,betaGammaSq);
936 fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
937 fdNdxResonance[i] = PAIdNdxResonance(i,betaGammaSq);
938 if(fVerbose>0) G4cout<<i<<" Shift: w = "<<fSplineEnergy[i]/keV<<" keV, xsc = "<<fDifPAIxSection[i]<<"\n"<<G4endl;
939 }
940 }
941
942} // end of NormShift
943
944/////////////////////////////////////////////////////////////////////////
945//
946// Creation of new energy points as geometrical mean of existing
947// one, calculation PAI_cs for them, while the error of logarithmic
948// linear approximation would be smaller than 'fError'
949
950void G4PAIxSection::SplainPAI(G4double betaGammaSq)
951{
952 G4int j, k = 1, i = 1;
953
954 if(fVerbose>0) G4cout<<" G4PAIxSection::SplainPAI call "<<G4endl;
955
956 while ( (i < fSplineNumber) && (fSplineNumber < fMaxSplineSize-1) )
957 {
958 // if( std::abs(fSplineEnergy[i+1]-fEnergyInterval[k+1]) > (fSplineEnergy[i+1]+fEnergyInterval[k+1])*5.e-7 )
959 if( fSplineEnergy[i+1] > fEnergyInterval[k+1] )
960 {
961 k++; // Here next energy point is in next energy interval
962 i++;
963 if(fVerbose>0) G4cout<<" in if: i = "<<i<<"; k = "<<k<<G4endl;
964 continue;
965 }
966 if(fVerbose>0) G4cout<<" out if: i = "<<i<<"; k = "<<k<<G4endl;
967
968 // Shifting of arrayes for inserting the geometrical
969 // average of 'i' and 'i+1' energy points to 'i+1' place
970 fSplineNumber++;
971
972 for( j = fSplineNumber; j >= i+2; j-- )
973 {
974 fSplineEnergy[j] = fSplineEnergy[j-1];
975 fImPartDielectricConst[j] = fImPartDielectricConst[j-1];
976 fRePartDielectricConst[j] = fRePartDielectricConst[j-1];
977 fIntegralTerm[j] = fIntegralTerm[j-1];
978
979 fDifPAIxSection[j] = fDifPAIxSection[j-1];
980 fdNdxCerenkov[j] = fdNdxCerenkov[j-1];
981 fdNdxMM[j] = fdNdxMM[j-1];
982 fdNdxPlasmon[j] = fdNdxPlasmon[j-1];
983 fdNdxResonance[j] = fdNdxResonance[j-1];
984 }
985 G4double x1 = fSplineEnergy[i];
986 G4double x2 = fSplineEnergy[i+1];
987 G4double yy1 = fDifPAIxSection[i];
988 G4double y2 = fDifPAIxSection[i+1];
989
990 if(fVerbose>0) G4cout<<"Spline: x1 = "<<x1<<"; x2 = "<<x2<<", yy1 = "<<yy1<<"; y2 = "<<y2<<G4endl;
991
992
993 G4double en1 = sqrt(x1*x2);
994 // G4double en1 = 0.5*(x1 + x2);
995
996
997 fSplineEnergy[i+1] = en1;
998
999 // Calculation of logarithmic linear approximation
1000 // in this (enr) energy point, which number is 'i+1' now
1001
1002 G4double a = log10(y2/yy1)/log10(x2/x1);
1003 G4double b = log10(yy1) - a*log10(x1);
1004 G4double y = a*log10(en1) + b;
1005
1006 y = pow(10.,y);
1007
1008 // Calculation of the PAI dif. cross-section at this point
1009
1010 fImPartDielectricConst[i+1] = fNormalizationCof*
1011 ImPartDielectricConst(k,fSplineEnergy[i+1]);
1012 fRePartDielectricConst[i+1] = fNormalizationCof*
1013 RePartDielectricConst(fSplineEnergy[i+1]);
1014 fIntegralTerm[i+1] = fIntegralTerm[i] + fNormalizationCof*
1015 RutherfordIntegral(k,fSplineEnergy[i],
1016 fSplineEnergy[i+1]);
1017
1018 fDifPAIxSection[i+1] = DifPAIxSection(i+1,betaGammaSq);
1019 fdNdxCerenkov[i+1] = PAIdNdxCerenkov(i+1,betaGammaSq);
1020 fdNdxMM[i+1] = PAIdNdxMM(i+1,betaGammaSq);
1021 fdNdxPlasmon[i+1] = PAIdNdxPlasmon(i+1,betaGammaSq);
1022 fdNdxResonance[i+1] = PAIdNdxResonance(i+1,betaGammaSq);
1023
1024 // Condition for next division of this segment or to pass
1025
1026 if(fVerbose>0) G4cout<<"Spline, a = "<<a<<"; b = "<<b<<"; new xsc = "<<y<<"; compxsc = "<<fDifPAIxSection[i+1]<<G4endl;
1027
1028 // to higher energies
1029
1030 G4double x = 2*(fDifPAIxSection[i+1] - y)/(fDifPAIxSection[i+1] + y);
1031
1032 G4double delta = 2.*(fSplineEnergy[i+1]-fSplineEnergy[i])/(fSplineEnergy[i+1]+fSplineEnergy[i]);
1033
1034 if( x < 0 )
1035 {
1036 x = -x;
1037 }
1038 if( x > fError && fSplineNumber < fMaxSplineSize-1 && delta > 2.*fDelta )
1039 {
1040 continue; // next division
1041 }
1042 i += 2; // pass to next segment
1043
1044 // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
1045 } // close 'while'
1046
1047} // end of SplainPAI
1048
1049
1050////////////////////////////////////////////////////////////////////
1051//
1052// Integration over electrons that could be considered
1053// quasi-free at energy transfer of interest
1054
1055G4double G4PAIxSection::RutherfordIntegral( G4int k,
1056 G4double x1,
1057 G4double x2 )
1058{
1059 G4double c1, c2, c3;
1060 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<x2<<G4endl;
1061 c1 = (x2 - x1)/x1/x2;
1062 c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2;
1063 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2;
1064 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<<c2<<"; "<<"c3 = "<<c3<<G4endl;
1065
1066 return fA1[k]*log(x2/x1) + fA2[k]*c1 + fA3[k]*c2/2 + fA4[k]*c3/3;
1067
1068} // end of RutherfordIntegral
1069
1070
1071/////////////////////////////////////////////////////////////////
1072//
1073// Imaginary part of dielectric constant
1074// (G4int k - interval number, G4double en1 - energy point)
1075
1076G4double G4PAIxSection::ImPartDielectricConst( G4int k ,
1077 G4double energy1 )
1078{
1079 G4double energy2,energy3,energy4,result;
1080
1081 energy2 = energy1*energy1;
1082 energy3 = energy2*energy1;
1083 energy4 = energy3*energy1;
1084
1085 result = fA1[k]/energy1+fA2[k]/energy2+fA3[k]/energy3+fA4[k]/energy4;
1086 result *=hbarc/energy1;
1087
1088 return result;
1089
1090} // end of ImPartDielectricConst
1091
1092/////////////////////////////////////////////////////////////////
1093//
1094// Returns lambda of photon with energy1 in current material
1095
1096G4double G4PAIxSection::GetPhotonRange( G4double energy1 )
1097{
1098 G4int i;
1099 G4double energy2, energy3, energy4, result, lambda;
1100
1101 energy2 = energy1*energy1;
1102 energy3 = energy2*energy1;
1103 energy4 = energy3*energy1;
1104
1105 for( i = 1; i <= fIntervalNumber; i++ )
1106 {
1107 if( energy1 < fEnergyInterval[i]) break;
1108 }
1109 i--;
1110 if(i == 0) i = 1;
1111
1112 result = fA1[i]/energy1+fA2[i]/energy2+fA3[i]/energy3+fA4[i]/energy4;
1113
1114 if( result > DBL_MIN ) lambda = 1./result;
1115 else lambda = DBL_MAX;
1116
1117 return lambda;
1118}
1119
1120/////////////////////////////////////////////////////////////////
1121//
1122// Return lambda of electron with energy1 in current material
1123// parametrisation from NIM A554(2005)474-493
1124
1125G4double G4PAIxSection::GetElectronRange( G4double energy )
1126{
1127 G4double range;
1128 /*
1129 const G4MaterialTable* theMaterialTable = G4Material::GetMaterialTable();
1130
1131 G4double Z = (*theMaterialTable)[fMaterialIndex]->GetIonisation()->GetZeffective();
1132 G4double A = (*theMaterialTable)[fMaterialIndex]->GetA();
1133
1134 energy /= keV; // energy in keV in parametrised formula
1135
1136 if (energy < 10.)
1137 {
1138 range = 3.872e-3*A/Z;
1139 range *= pow(energy,1.492);
1140 }
1141 else
1142 {
1143 range = 6.97e-3*pow(energy,1.6);
1144 }
1145 */
1146 // Blum&Rolandi Particle Detection with Drift Chambers, p. 7
1147
1148 G4double cofA = 5.37e-4*g/cm2/keV;
1149 G4double cofB = 0.9815;
1150 G4double cofC = 3.123e-3/keV;
1151 // energy /= keV;
1152
1153 range = cofA*energy*( 1 - cofB/(1 + cofC*energy) );
1154
1155 // range *= g/cm2;
1156 range /= fDensity;
1157
1158 return range;
1159}
1160
1161//////////////////////////////////////////////////////////////////////////////
1162//
1163// Real part of dielectric constant minus unit: epsilon_1 - 1
1164// (G4double enb - energy point)
1165//
1166
1167G4double G4PAIxSection::RePartDielectricConst(G4double enb)
1168{
1169 G4double x0, x02, x03, x04, x05, x1, x2, xx1 ,xx2 , xx12,
1170 c1, c2, c3, cof1, cof2, xln1, xln2, xln3, result;
1171
1172 x0 = enb;
1173 result = 0;
1174
1175 for(G4int i=1;i<=fIntervalNumber-1;i++)
1176 {
1177 x1 = fEnergyInterval[i];
1178 x2 = fEnergyInterval[i+1];
1179 xx1 = x1 - x0;
1180 xx2 = x2 - x0;
1181 xx12 = xx2/xx1;
1182
1183 if(xx12<0)
1184 {
1185 xx12 = -xx12;
1186 }
1187 xln1 = log(x2/x1);
1188 xln2 = log(xx12);
1189 xln3 = log((x2 + x0)/(x1 + x0));
1190 x02 = x0*x0;
1191 x03 = x02*x0;
1192 x04 = x03*x0;
1193 x05 = x04*x0;
1194 c1 = (x2 - x1)/x1/x2;
1195 c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2;
1196 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2;
1197
1198 result -= (fA1[i]/x02 + fA3[i]/x04)*xln1;
1199 result -= (fA2[i]/x02 + fA4[i]/x04)*c1;
1200 result -= fA3[i]*c2/2/x02;
1201 result -= fA4[i]*c3/3/x02;
1202
1203 cof1 = fA1[i]/x02 + fA3[i]/x04;
1204 cof2 = fA2[i]/x03 + fA4[i]/x05;
1205
1206 result += 0.5*(cof1 +cof2)*xln2;
1207 result += 0.5*(cof1 - cof2)*xln3;
1208 }
1209 result *= 2*hbarc/pi;
1210
1211 return result;
1212
1213} // end of RePartDielectricConst
1214
1215//////////////////////////////////////////////////////////////////////
1216//
1217// PAI differential cross-section in terms of
1218// simplified Allison's equation
1219//
1220
1221G4double G4PAIxSection::DifPAIxSection( G4int i , G4double betaGammaSq )
1222{
1223 G4double cof,x1,x2,x3,x4,x5,x6,x7,x8,result;
1224
1225 G4double betaBohr = fine_structure_const;
1226 G4double be2 = betaGammaSq/(1 + betaGammaSq);
1227 G4double beta = std::sqrt(be2);
1228
1229 cof = 1.;
1230 x1 = std::log(2*electron_mass_c2/fSplineEnergy[i]);
1231
1232 if( betaGammaSq < 0.01 ) x2 = std::log(be2);
1233 else
1234 {
1235 x2 = -log( (1/betaGammaSq - fRePartDielectricConst[i])*
1236 (1/betaGammaSq - fRePartDielectricConst[i]) +
1237 fImPartDielectricConst[i]*fImPartDielectricConst[i] )/2;
1238 }
1239 if( fImPartDielectricConst[i] == 0.0 ||betaGammaSq < 0.01 )
1240 {
1241 x6 = 0.;
1242 }
1243 else
1244 {
1245 x3 = -fRePartDielectricConst[i] + 1/betaGammaSq;
1246 x5 = -1 - fRePartDielectricConst[i] +
1247 be2*((1 +fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
1248 fImPartDielectricConst[i]*fImPartDielectricConst[i]);
1249
1250 x7 = atan2(fImPartDielectricConst[i],x3);
1251 x6 = x5 * x7;
1252 }
1253
1254 x4 = ((x1 + x2)*fImPartDielectricConst[i] + x6)/hbarc;
1255
1256 x8 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
1257 fImPartDielectricConst[i]*fImPartDielectricConst[i];
1258
1259 result = (x4 + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i]);
1260
1261 if( result < 1.0e-8 ) result = 1.0e-8;
1262
1263 result *= fine_structure_const/be2/pi;
1264
1265 // low energy correction
1266
1267 G4double lowCof = fLowEnergyCof; // 6.0 ; // Ar ~ 4.; -> fLowCof as f(Z1,Z2)?
1268
1269 result *= (1 - std::exp(-beta/betaBohr/lowCof));
1270 if(x8 >= 0.0)
1271 {
1272 result /= x8;
1273 }
1274 return result;
1275
1276} // end of DifPAIxSection
1277
1278//////////////////////////////////////////////////////////////////////////
1279//
1280// Calculation od dN/dx of collisions with creation of Cerenkov pseudo-photons
1281
1282G4double G4PAIxSection::PAIdNdxCerenkov( G4int i ,
1283 G4double betaGammaSq )
1284{
1285 G4double logarithm, x3, x5, argument, modul2, dNdxC;
1286 G4double be2, betaBohr2, cofBetaBohr;
1287
1288 cofBetaBohr = 4.0;
1289 betaBohr2 = fine_structure_const*fine_structure_const;
1290 G4double betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
1291
1292 be2 = betaGammaSq/(1 + betaGammaSq);
1293 G4double be4 = be2*be2;
1294
1295 if( betaGammaSq < 0.01 ) logarithm = std::log(1.0+betaGammaSq); // 0.0;
1296 else
1297 {
1298 logarithm = -log( (1/betaGammaSq - fRePartDielectricConst[i])*
1299 (1/betaGammaSq - fRePartDielectricConst[i]) +
1300 fImPartDielectricConst[i]*fImPartDielectricConst[i] )*0.5;
1301 logarithm += log(1+1.0/betaGammaSq);
1302 }
1303
1304 if( fImPartDielectricConst[i] == 0.0 || betaGammaSq < 0.01 )
1305 {
1306 argument = 0.0;
1307 }
1308 else
1309 {
1310 x3 = -fRePartDielectricConst[i] + 1.0/betaGammaSq;
1311 x5 = -1.0 - fRePartDielectricConst[i] +
1312 be2*((1.0 +fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) +
1313 fImPartDielectricConst[i]*fImPartDielectricConst[i]);
1314 if( x3 == 0.0 ) argument = 0.5*pi;
1315 else argument = std::atan2(fImPartDielectricConst[i],x3);
1316 argument *= x5 ;
1317 }
1318 dNdxC = ( logarithm*fImPartDielectricConst[i] + argument )/hbarc;
1319
1320 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8;
1321
1322 dNdxC *= fine_structure_const/be2/pi;
1323
1324 dNdxC *= (1-std::exp(-be4/betaBohr4));
1325
1326 modul2 = (1.0 + fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) +
1327 fImPartDielectricConst[i]*fImPartDielectricConst[i];
1328 if(modul2 >= 0.0)
1329 {
1330 dNdxC /= modul2;
1331 }
1332 return dNdxC;
1333
1334} // end of PAIdNdxCerenkov
1335
1336//////////////////////////////////////////////////////////////////////////
1337//
1338// Calculation od dN/dx of collisions of MM with creation of Cerenkov pseudo-photons
1339
1340G4double G4PAIxSection::PAIdNdxMM( G4int i ,
1341 G4double betaGammaSq )
1342{
1343 G4double logarithm, x3, x5, argument, dNdxC;
1344 G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr;
1345
1346 cofBetaBohr = 4.0;
1347 betaBohr2 = fine_structure_const*fine_structure_const;
1348 betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
1349
1350 be2 = betaGammaSq/(1 + betaGammaSq);
1351 be4 = be2*be2;
1352
1353 if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq); // 0.0;
1354 else
1355 {
1356 logarithm = -log( (1/betaGammaSq - fRePartDielectricConst[i])*
1357 (1/betaGammaSq - fRePartDielectricConst[i]) +
1358 fImPartDielectricConst[i]*fImPartDielectricConst[i] )*0.5;
1359 logarithm += log(1+1.0/betaGammaSq);
1360 }
1361
1362 if( fImPartDielectricConst[i] == 0.0 || betaGammaSq < 0.01 )
1363 {
1364 argument = 0.0;
1365 }
1366 else
1367 {
1368 x3 = -fRePartDielectricConst[i] + 1.0/betaGammaSq;
1369 x5 = be2*( 1.0 + fRePartDielectricConst[i] ) - 1.0;
1370 if( x3 == 0.0 ) argument = 0.5*pi;
1371 else argument = atan2(fImPartDielectricConst[i],x3);
1372 argument *= x5 ;
1373 }
1374 dNdxC = ( logarithm*fImPartDielectricConst[i]*be2 + argument )/hbarc;
1375
1376 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8;
1377
1378 dNdxC *= fine_structure_const/be2/pi;
1379
1380 dNdxC *= (1-std::exp(-be4/betaBohr4));
1381 return dNdxC;
1382
1383} // end of PAIdNdxMM
1384
1385//////////////////////////////////////////////////////////////////////////
1386//
1387// Calculation od dN/dx of collisions with creation of longitudinal EM
1388// excitations (plasmons, delta-electrons)
1389
1390G4double G4PAIxSection::PAIdNdxPlasmon( G4int i ,
1391 G4double betaGammaSq )
1392{
1393 G4double resonance, modul2, dNdxP, cof = 1.;
1394 G4double be2, betaBohr;
1395
1396 betaBohr = fine_structure_const;
1397 be2 = betaGammaSq/(1 + betaGammaSq);
1398
1399 G4double beta = std::sqrt(be2);
1400
1401 resonance = std::log(2*electron_mass_c2*be2/fSplineEnergy[i]);
1402 resonance *= fImPartDielectricConst[i]/hbarc;
1403
1404 dNdxP = ( resonance + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i] );
1405
1406 if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8;
1407
1408 dNdxP *= fine_structure_const/be2/pi;
1409
1410 dNdxP *= (1 - std::exp(-beta/betaBohr/fLowEnergyCof));
1411
1412 modul2 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
1413 fImPartDielectricConst[i]*fImPartDielectricConst[i];
1414 if( modul2 >= 0.0 )
1415 {
1416 dNdxP /= modul2;
1417 }
1418 return dNdxP;
1419
1420} // end of PAIdNdxPlasmon
1421
1422//////////////////////////////////////////////////////////////////////////
1423//
1424// Calculation od dN/dx of collisions with creation of longitudinal EM
1425// resonance excitations (plasmons, delta-electrons)
1426
1427G4double G4PAIxSection::PAIdNdxResonance( G4int i ,
1428 G4double betaGammaSq )
1429{
1430 G4double resonance, modul2, dNdxP;
1431 G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr;
1432
1433 cofBetaBohr = 4.0;
1434 betaBohr2 = fine_structure_const*fine_structure_const;
1435 betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
1436
1437 be2 = betaGammaSq/(1 + betaGammaSq);
1438 be4 = be2*be2;
1439
1440 resonance = log(2*electron_mass_c2*be2/fSplineEnergy[i]);
1441 resonance *= fImPartDielectricConst[i]/hbarc;
1442
1443 dNdxP = resonance;
1444
1445 if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8;
1446
1447 dNdxP *= fine_structure_const/be2/pi;
1448 dNdxP *= (1 - std::exp(-be4/betaBohr4));
1449
1450 modul2 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
1451 fImPartDielectricConst[i]*fImPartDielectricConst[i];
1452 if( modul2 >= 0.0 )
1453 {
1454 dNdxP /= modul2;
1455 }
1456 return dNdxP;
1457
1458} // end of PAIdNdxResonance
1459
1460////////////////////////////////////////////////////////////////////////
1461//
1462// Calculation of the PAI integral cross-section
1463// fIntegralPAIxSection[1] = specific primary ionisation, 1/cm
1464// and fIntegralPAIxSection[0] = mean energy loss per cm in keV/cm
1465
1466void G4PAIxSection::IntegralPAIxSection()
1467{
1468 fIntegralPAIxSection[fSplineNumber] = 0;
1469 fIntegralPAIdEdx[fSplineNumber] = 0;
1470 fIntegralPAIxSection[0] = 0;
1471 G4int i, k = fIntervalNumber -1;
1472
1473 for( i = fSplineNumber-1; i >= 1; i--)
1474 {
1475 if(fSplineEnergy[i] >= fEnergyInterval[k])
1476 {
1477 fIntegralPAIxSection[i] = fIntegralPAIxSection[i+1] + SumOverInterval(i);
1478 fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] + SumOverIntervaldEdx(i);
1479 }
1480 else
1481 {
1482 fIntegralPAIxSection[i] = fIntegralPAIxSection[i+1] +
1483 SumOverBorder(i+1,fEnergyInterval[k]);
1484 fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] +
1485 SumOverBorderdEdx(i+1,fEnergyInterval[k]);
1486 k--;
1487 }
1488 if(fVerbose>0) G4cout<<"i = "<<i<<"; k = "<<k<<"; intPAIxsc[i] = "<<fIntegralPAIxSection[i]<<G4endl;
1489 }
1490} // end of IntegralPAIxSection
1491
1492////////////////////////////////////////////////////////////////////////
1493//
1494// Calculation of the PAI Cerenkov integral cross-section
1495// fIntegralCrenkov[1] = specific Crenkov ionisation, 1/cm
1496// and fIntegralCerenkov[0] = mean Cerenkov loss per cm in keV/cm
1497
1498void G4PAIxSection::IntegralCerenkov()
1499{
1500 G4int i, k;
1501 fIntegralCerenkov[fSplineNumber] = 0;
1502 fIntegralCerenkov[0] = 0;
1503 k = fIntervalNumber -1;
1504
1505 for( i = fSplineNumber-1; i >= 1; i-- )
1506 {
1507 if(fSplineEnergy[i] >= fEnergyInterval[k])
1508 {
1509 fIntegralCerenkov[i] = fIntegralCerenkov[i+1] + SumOverInterCerenkov(i);
1510 // G4cout<<"int: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl;
1511 }
1512 else
1513 {
1514 fIntegralCerenkov[i] = fIntegralCerenkov[i+1] +
1515 SumOverBordCerenkov(i+1,fEnergyInterval[k]);
1516 k--;
1517 // G4cout<<"bord: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl;
1518 }
1519 }
1520
1521} // end of IntegralCerenkov
1522
1523////////////////////////////////////////////////////////////////////////
1524//
1525// Calculation of the PAI MM-Cerenkov integral cross-section
1526// fIntegralMM[1] = specific MM-Cerenkov ionisation, 1/cm
1527// and fIntegralMM[0] = mean MM-Cerenkov loss per cm in keV/cm
1528
1529void G4PAIxSection::IntegralMM()
1530{
1531 G4int i, k;
1532 fIntegralMM[fSplineNumber] = 0;
1533 fIntegralMM[0] = 0;
1534 k = fIntervalNumber -1;
1535
1536 for( i = fSplineNumber-1; i >= 1; i-- )
1537 {
1538 if(fSplineEnergy[i] >= fEnergyInterval[k])
1539 {
1540 fIntegralMM[i] = fIntegralMM[i+1] + SumOverInterMM(i);
1541 // G4cout<<"int: i = "<<i<<"; sumC = "<<fIntegralMM[i]<<G4endl;
1542 }
1543 else
1544 {
1545 fIntegralMM[i] = fIntegralMM[i+1] +
1546 SumOverBordMM(i+1,fEnergyInterval[k]);
1547 k--;
1548 // G4cout<<"bord: i = "<<i<<"; sumC = "<<fIntegralMM[i]<<G4endl;
1549 }
1550 }
1551
1552} // end of IntegralMM
1553
1554////////////////////////////////////////////////////////////////////////
1555//
1556// Calculation of the PAI Plasmon integral cross-section
1557// fIntegralPlasmon[1] = splasmon primary ionisation, 1/cm
1558// and fIntegralPlasmon[0] = mean plasmon loss per cm in keV/cm
1559
1560void G4PAIxSection::IntegralPlasmon()
1561{
1562 fIntegralPlasmon[fSplineNumber] = 0;
1563 fIntegralPlasmon[0] = 0;
1564 G4int k = fIntervalNumber -1;
1565 for(G4int i=fSplineNumber-1;i>=1;i--)
1566 {
1567 if(fSplineEnergy[i] >= fEnergyInterval[k])
1568 {
1569 fIntegralPlasmon[i] = fIntegralPlasmon[i+1] + SumOverInterPlasmon(i);
1570 }
1571 else
1572 {
1573 fIntegralPlasmon[i] = fIntegralPlasmon[i+1] +
1574 SumOverBordPlasmon(i+1,fEnergyInterval[k]);
1575 k--;
1576 }
1577 }
1578
1579} // end of IntegralPlasmon
1580
1581////////////////////////////////////////////////////////////////////////
1582//
1583// Calculation of the PAI resonance integral cross-section
1584// fIntegralResonance[1] = resonance primary ionisation, 1/cm
1585// and fIntegralResonance[0] = mean resonance loss per cm in keV/cm
1586
1587void G4PAIxSection::IntegralResonance()
1588{
1589 fIntegralResonance[fSplineNumber] = 0;
1590 fIntegralResonance[0] = 0;
1591 G4int k = fIntervalNumber -1;
1592 for(G4int i=fSplineNumber-1;i>=1;i--)
1593 {
1594 if(fSplineEnergy[i] >= fEnergyInterval[k])
1595 {
1596 fIntegralResonance[i] = fIntegralResonance[i+1] + SumOverInterResonance(i);
1597 }
1598 else
1599 {
1600 fIntegralResonance[i] = fIntegralResonance[i+1] +
1601 SumOverBordResonance(i+1,fEnergyInterval[k]);
1602 k--;
1603 }
1604 }
1605
1606} // end of IntegralResonance
1607
1608//////////////////////////////////////////////////////////////////////
1609//
1610// Calculation the PAI integral cross-section inside
1611// of interval of continuous values of photo-ionisation
1612// cross-section. Parameter 'i' is the number of interval.
1613
1614G4double G4PAIxSection::SumOverInterval( G4int i )
1615{
1616 G4double x0,x1,y0,yy1,a,b,c,result;
1617
1618 x0 = fSplineEnergy[i];
1619 x1 = fSplineEnergy[i+1];
1620 if(fVerbose>0) G4cout<<"SumOverInterval i= " << i << " x0 = "<<x0<<"; x1 = "<<x1<<G4endl;
1621
1622 if( x1+x0 <= 0.0 || std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) return 0.;
1623
1624 y0 = fDifPAIxSection[i];
1625 yy1 = fDifPAIxSection[i+1];
1626
1627 if(fVerbose>0) G4cout<<"x0 = "<<x0<<"; x1 = "<<x1<<", y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
1628
1629 c = x1/x0;
1630 a = log10(yy1/y0)/log10(c);
1631
1632 if(fVerbose>0) G4cout<<"SumOverInterval, a = "<<a<<"; c = "<<c<<G4endl;
1633
1634 b = 0.0;
1635 if(a < 20.) b = y0/pow(x0,a);
1636
1637 a += 1.;
1638 if( std::abs(a) < 1.e-6 )
1639 {
1640 result = b*log(x1/x0);
1641 }
1642 else
1643 {
1644 result = y0*(x1*pow(c,a-1) - x0)/a;
1645 }
1646 a += 1.;
1647 if( std::abs(a) < 1.e-6 )
1648 {
1649 fIntegralPAIxSection[0] += b*log(x1/x0);
1650 }
1651 else
1652 {
1653 fIntegralPAIxSection[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
1654 }
1655 if(fVerbose>0) G4cout<<"SumOverInterval, result = "<<result<<G4endl;
1656 return result;
1657
1658} // end of SumOverInterval
1659
1660/////////////////////////////////
1661
1662G4double G4PAIxSection::SumOverIntervaldEdx( G4int i )
1663{
1664 G4double x0,x1,y0,yy1,a,b,c,result;
1665
1666 x0 = fSplineEnergy[i];
1667 x1 = fSplineEnergy[i+1];
1668
1669 if(x1+x0 <= 0.0 || std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) return 0.;
1670
1671 y0 = fDifPAIxSection[i];
1672 yy1 = fDifPAIxSection[i+1];
1673 c = x1/x0;
1674 a = log10(yy1/y0)/log10(c);
1675
1676 b = 0.0;
1677 if(a < 20.) b = y0/pow(x0,a);
1678
1679 a += 2;
1680 if(a == 0)
1681 {
1682 result = b*log(x1/x0);
1683 }
1684 else
1685 {
1686 result = y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
1687 }
1688 return result;
1689
1690} // end of SumOverInterval
1691
1692//////////////////////////////////////////////////////////////////////
1693//
1694// Calculation the PAI Cerenkov integral cross-section inside
1695// of interval of continuous values of photo-ionisation Cerenkov
1696// cross-section. Parameter 'i' is the number of interval.
1697
1698G4double G4PAIxSection::SumOverInterCerenkov( G4int i )
1699{
1700 G4double x0,x1,y0,yy1,a,b,c,result;
1701
1702 x0 = fSplineEnergy[i];
1703 x1 = fSplineEnergy[i+1];
1704
1705 if(x1+x0 <= 0.0 || std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) return 0.;
1706
1707 y0 = fdNdxCerenkov[i];
1708 yy1 = fdNdxCerenkov[i+1];
1709 // G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"; x1 = "<<x1
1710 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
1711
1712 c = x1/x0;
1713 a = log10(yy1/y0)/log10(c);
1714
1715 if(a > 20.0) b = 0.0;
1716 else b = y0/pow(x0,a);
1717
1718 a += 1.0;
1719 if(a == 0) result = b*log(c);
1720 else result = y0*(x1*pow(c,a-1) - x0)/a;
1721 a += 1.0;
1722
1723 if( a == 0 ) fIntegralCerenkov[0] += b*log(x1/x0);
1724 else fIntegralCerenkov[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
1725 // G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl;
1726 return result;
1727
1728} // end of SumOverInterCerenkov
1729
1730//////////////////////////////////////////////////////////////////////
1731//
1732// Calculation the PAI MM-Cerenkov integral cross-section inside
1733// of interval of continuous values of photo-ionisation Cerenkov
1734// cross-section. Parameter 'i' is the number of interval.
1735
1736G4double G4PAIxSection::SumOverInterMM( G4int i )
1737{
1738 G4double x0,x1,y0,yy1,a,b,c,result;
1739
1740 x0 = fSplineEnergy[i];
1741 x1 = fSplineEnergy[i+1];
1742
1743 if(x1+x0 <= 0.0 || std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) return 0.;
1744
1745 y0 = fdNdxMM[i];
1746 yy1 = fdNdxMM[i+1];
1747 //G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"; x1 = "<<x1
1748 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
1749
1750 c = x1/x0;
1751 //G4cout<<" c = "<<c<< " yy1/y0= " << yy1/y0 <<G4endl;
1752 a = log10(yy1/y0)/log10(c);
1753
1754 b = 0.0;
1755 if(a < 20.) b = y0/pow(x0,a);
1756
1757 a += 1.0;
1758 if(a == 0) result = b*log(c);
1759 else result = y0*(x1*pow(c,a-1) - x0)/a;
1760 a += 1.0;
1761
1762 if( a == 0 ) fIntegralMM[0] += b*log(c);
1763 else fIntegralMM[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
1764 //G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl;
1765 return result;
1766
1767} // end of SumOverInterMM
1768
1769//////////////////////////////////////////////////////////////////////
1770//
1771// Calculation the PAI Plasmon integral cross-section inside
1772// of interval of continuous values of photo-ionisation Plasmon
1773// cross-section. Parameter 'i' is the number of interval.
1774
1775G4double G4PAIxSection::SumOverInterPlasmon( G4int i )
1776{
1777 G4double x0,x1,y0,yy1,a,b,c,result;
1778
1779 x0 = fSplineEnergy[i];
1780 x1 = fSplineEnergy[i+1];
1781
1782 if(x1+x0 <= 0.0 || std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) return 0.;
1783
1784 y0 = fdNdxPlasmon[i];
1785 yy1 = fdNdxPlasmon[i+1];
1786 c = x1/x0;
1787 a = log10(yy1/y0)/log10(c);
1788
1789 b = 0.0;
1790 if(a < 20.) b = y0/pow(x0,a);
1791
1792 a += 1.0;
1793 if(a == 0) result = b*log(x1/x0);
1794 else result = y0*(x1*pow(c,a-1) - x0)/a;
1795 a += 1.0;
1796
1797 if( a == 0 ) fIntegralPlasmon[0] += b*log(x1/x0);
1798 else fIntegralPlasmon[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
1799
1800 return result;
1801
1802} // end of SumOverInterPlasmon
1803
1804//////////////////////////////////////////////////////////////////////
1805//
1806// Calculation the PAI resonance integral cross-section inside
1807// of interval of continuous values of photo-ionisation resonance
1808// cross-section. Parameter 'i' is the number of interval.
1809
1810G4double G4PAIxSection::SumOverInterResonance( G4int i )
1811{
1812 G4double x0,x1,y0,yy1,a,b,c,result;
1813
1814 x0 = fSplineEnergy[i];
1815 x1 = fSplineEnergy[i+1];
1816
1817 if(x1+x0 <= 0.0 || std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) return 0.;
1818
1819 y0 = fdNdxResonance[i];
1820 yy1 = fdNdxResonance[i+1];
1821 c =x1/x0;
1822 a = log10(yy1/y0)/log10(c);
1823
1824 b = 0.0;
1825 if(a < 20.) b = y0/pow(x0,a);
1826
1827 a += 1.0;
1828 if(a == 0) result = b*log(x1/x0);
1829 else result = y0*(x1*pow(c,a-1) - x0)/a;
1830 a += 1.0;
1831
1832 if( a == 0 ) fIntegralResonance[0] += b*log(x1/x0);
1833 else fIntegralResonance[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
1834
1835 return result;
1836
1837} // end of SumOverInterResonance
1838
1839///////////////////////////////////////////////////////////////////////////////
1840//
1841// Integration of PAI cross-section for the case of
1842// passing across border between intervals
1843
1844G4double G4PAIxSection::SumOverBorder( G4int i ,
1845 G4double en0 )
1846{
1847 G4double x0,x1,y0,yy1,a,b,/*c,*/d,e0,result;
1848
1849 e0 = en0;
1850 x0 = fSplineEnergy[i];
1851 x1 = fSplineEnergy[i+1];
1852 y0 = fDifPAIxSection[i];
1853 yy1 = fDifPAIxSection[i+1];
1854
1855 //c = x1/x0;
1856 d = e0/x0;
1857 a = log10(yy1/y0)/log10(x1/x0);
1858
1859 if(fVerbose>0) G4cout<<"SumOverBorder, a = "<<a<<G4endl;
1860
1861 b = 0.0;
1862 if(a < 20.) b = y0/pow(x0,a);
1863
1864 a += 1.;
1865 if( std::abs(a) < 1.e-6 )
1866 {
1867 result = b*log(x0/e0);
1868 }
1869 else
1870 {
1871 result = y0*(x0 - e0*pow(d,a-1))/a;
1872 }
1873 a += 1.;
1874 if( std::abs(a) < 1.e-6 )
1875 {
1876 fIntegralPAIxSection[0] += b*log(x0/e0);
1877 }
1878 else
1879 {
1880 fIntegralPAIxSection[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
1881 }
1882 x0 = fSplineEnergy[i - 1];
1883 x1 = fSplineEnergy[i - 2];
1884 y0 = fDifPAIxSection[i - 1];
1885 yy1 = fDifPAIxSection[i - 2];
1886
1887 d = e0/x0;
1888 a = log10(yy1/y0)/log10(x1/x0);
1889
1890 b = 0.0;
1891 if(a < 20.) b = y0/pow(x0,a);
1892
1893 a += 1.;
1894 if( std::abs(a) < 1.e-6 )
1895 {
1896 result += b*log(e0/x0);
1897 }
1898 else
1899 {
1900 result += y0*(e0*pow(d,a-1) - x0)/a;
1901 }
1902 a += 1.;
1903 if( std::abs(a) < 1.e-6 )
1904 {
1905 fIntegralPAIxSection[0] += b*log(e0/x0);
1906 }
1907 else
1908 {
1909 fIntegralPAIxSection[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
1910 }
1911 return result;
1912
1913}
1914
1915///////////////////////////////////////////////////////////////////////
1916
1917G4double G4PAIxSection::SumOverBorderdEdx( G4int i, G4double en0 )
1918{
1919 G4double x0,x1,y0,yy1,a,b,d,e0,result;
1920
1921 e0 = en0;
1922 x0 = fSplineEnergy[i];
1923 x1 = fSplineEnergy[i+1];
1924 y0 = fDifPAIxSection[i];
1925 yy1 = fDifPAIxSection[i+1];
1926
1927 d = e0/x0;
1928 a = log10(yy1/y0)/log10(x1/x0);
1929
1930 b = 0.0;
1931 if(a < 20.) b = y0/pow(x0,a);
1932
1933 a += 2;
1934 if(a == 0)
1935 {
1936 result = b*log(x0/e0);
1937 }
1938 else
1939 {
1940 result = y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
1941 }
1942 x0 = fSplineEnergy[i - 1];
1943 x1 = fSplineEnergy[i - 2];
1944 y0 = fDifPAIxSection[i - 1];
1945 yy1 = fDifPAIxSection[i - 2];
1946
1947 // c = x1/x0;
1948 d = e0/x0;
1949 a = log10(yy1/y0)/log10(x1/x0);
1950
1951 b = 0.0;
1952 if(a < 20.) b = y0/pow(x0,a);
1953
1954 a += 2;
1955 if(a == 0)
1956 {
1957 result += b*log(e0/x0);
1958 }
1959 else
1960 {
1961 result += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
1962 }
1963 return result;
1964
1965}
1966
1967///////////////////////////////////////////////////////////////////////////////
1968//
1969// Integration of Cerenkov cross-section for the case of
1970// passing across border between intervals
1971
1972G4double G4PAIxSection::SumOverBordCerenkov( G4int i, G4double en0 )
1973{
1974 G4double x0,x1,y0,yy1,a,b,e0,c,d,result;
1975
1976 e0 = en0;
1977 x0 = fSplineEnergy[i];
1978 x1 = fSplineEnergy[i+1];
1979 y0 = fdNdxCerenkov[i];
1980 yy1 = fdNdxCerenkov[i+1];
1981
1982 //G4cout<<"SumBordC, i = "<<i<<"; en0 = "<<en0<<"; x0 ="<<x0<<"; x1 = "<<x1
1983 //<<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
1984 c = x1/x0;
1985 d = e0/x0;
1986 a = log10(yy1/y0)/log10(c);
1987 //G4cout << " a= " << a << " c=" << c << G4endl;
1988
1989 b = 0.0;
1990 if(a < 20.) b = y0/pow(x0,a);
1991
1992 a += 1.0;
1993 if( a == 0 ) result = b*log(x0/e0);
1994 else result = y0*(x0 - e0*pow(d,a-1))/a;
1995 a += 1.0;
1996
1997 if( a == 0 ) fIntegralCerenkov[0] += b*log(x0/e0);
1998 else fIntegralCerenkov[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
1999
2000 x0 = fSplineEnergy[i - 1];
2001 x1 = fSplineEnergy[i - 2];
2002 y0 = fdNdxCerenkov[i - 1];
2003 yy1 = fdNdxCerenkov[i - 2];
2004
2005 // G4cout<<"x0 ="<<x0<<"; x1 = "<<x1
2006 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
2007
2008 c = x1/x0;
2009 d = e0/x0;
2010 a = log10(yy1/y0)/log10(c);
2011
2012 b = 0.0;
2013 if(a < 20.) b = y0/pow(x0,a);
2014
2015 a += 1.0;
2016 if( a == 0 ) result += b*log(e0/x0);
2017 else result += y0*(e0*pow(d,a-1) - x0 )/a;
2018 a += 1.0;
2019
2020 if( a == 0 ) fIntegralCerenkov[0] += b*log(e0/x0);
2021 else fIntegralCerenkov[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
2022
2023 //G4cout<<" a="<< a <<" b="<< b <<" result="<<result<<G4endl;
2024 return result;
2025}
2026
2027///////////////////////////////////////////////////////////////////////////////
2028//
2029// Integration of MM-Cerenkov cross-section for the case of
2030// passing across border between intervals
2031
2032G4double G4PAIxSection::SumOverBordMM( G4int i, G4double en0 )
2033{
2034 G4double x0,x1,y0,yy1,a,b,e0,c,d,result;
2035
2036 e0 = en0;
2037 x0 = fSplineEnergy[i];
2038 x1 = fSplineEnergy[i+1];
2039 y0 = fdNdxMM[i];
2040 yy1 = fdNdxMM[i+1];
2041
2042 // G4cout<<"SumBordC, i = "<<i<<"; en0 = "<<en0<<"; x0 ="<<x0<<"; x1 = "<<x1
2043 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
2044 c = x1/x0;
2045 d = e0/x0;
2046 a = log10(yy1/y0)/log10(c);
2047
2048 if(a > 20.0) b = 0.0;
2049 else b = y0/pow(x0,a);
2050
2051 a += 1.0;
2052 if( a == 0 ) result = b*log(x0/e0);
2053 else result = y0*(x0 - e0*pow(d,a-1))/a;
2054 a += 1.0;
2055
2056 if( a == 0 ) fIntegralMM[0] += b*log(x0/e0);
2057 else fIntegralMM[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
2058
2059 // G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = "<<b<<"; result = "<<result<<G4endl;
2060
2061 x0 = fSplineEnergy[i - 1];
2062 x1 = fSplineEnergy[i - 2];
2063 y0 = fdNdxMM[i - 1];
2064 yy1 = fdNdxMM[i - 2];
2065
2066 // G4cout<<"x0 ="<<x0<<"; x1 = "<<x1
2067 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
2068
2069 c = x1/x0;
2070 d = e0/x0;
2071 a = log10(yy1/y0)/log10(x1/x0);
2072
2073 if(a > 20.0) b = 0.0;
2074 else b = y0/pow(x0,a);
2075
2076 a += 1.0;
2077 if( a == 0 ) result += b*log(e0/x0);
2078 else result += y0*(e0*pow(d,a-1) - x0 )/a;
2079 a += 1.0;
2080
2081 if( a == 0 ) fIntegralMM[0] += b*log(e0/x0);
2082 else fIntegralMM[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
2083
2084 // G4cout<<"a = "<<a<<"; b0 = "<<b0<<"; b = "
2085 // <<b<<"; result = "<<result<<G4endl;
2086
2087 return result;
2088
2089}
2090
2091///////////////////////////////////////////////////////////////////////////////
2092//
2093// Integration of Plasmon cross-section for the case of
2094// passing across border between intervals
2095
2096G4double G4PAIxSection::SumOverBordPlasmon( G4int i ,
2097 G4double en0 )
2098{
2099 G4double x0,x1,y0,yy1,a,b,c,d,e0,result;
2100
2101 e0 = en0;
2102 x0 = fSplineEnergy[i];
2103 x1 = fSplineEnergy[i+1];
2104 y0 = fdNdxPlasmon[i];
2105 yy1 = fdNdxPlasmon[i+1];
2106
2107 c = x1/x0;
2108 d = e0/x0;
2109 a = log10(yy1/y0)/log10(c);
2110
2111 if(a > 20.0) b = 0.0;
2112 else b = y0/pow(x0,a);
2113
2114 a += 1.0;
2115 if( a == 0 ) result = b*log(x0/e0);
2116 else result = y0*(x0 - e0*pow(d,a-1))/a;
2117 a += 1.0;
2118
2119 if( a == 0 ) fIntegralPlasmon[0] += b*log(x0/e0);
2120 else fIntegralPlasmon[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
2121
2122 x0 = fSplineEnergy[i - 1];
2123 x1 = fSplineEnergy[i - 2];
2124 y0 = fdNdxPlasmon[i - 1];
2125 yy1 = fdNdxPlasmon[i - 2];
2126
2127 c = x1/x0;
2128 d = e0/x0;
2129 a = log10(yy1/y0)/log10(c);
2130
2131 if(a > 20.0) b = 0.0;
2132 else b = y0/pow(x0,a);
2133
2134 a += 1.0;
2135 if( a == 0 ) result += b*log(e0/x0);
2136 else result += y0*(e0*pow(d,a-1) - x0)/a;
2137 a += 1.0;
2138
2139 if( a == 0 ) fIntegralPlasmon[0] += b*log(e0/x0);
2140 else fIntegralPlasmon[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
2141
2142 return result;
2143}
2144
2145///////////////////////////////////////////////////////////////////////////////
2146//
2147// Integration of resonance cross-section for the case of
2148// passing across border between intervals
2149
2150G4double G4PAIxSection::SumOverBordResonance( G4int i ,
2151 G4double en0 )
2152{
2153 G4double x0,x1,y0,yy1,a,b,c,d,e0,result;
2154
2155 e0 = en0;
2156 x0 = fSplineEnergy[i];
2157 x1 = fSplineEnergy[i+1];
2158 y0 = fdNdxResonance[i];
2159 yy1 = fdNdxResonance[i+1];
2160
2161 c = x1/x0;
2162 d = e0/x0;
2163 a = log10(yy1/y0)/log10(c);
2164
2165 if(a > 20.0) b = 0.0;
2166 else b = y0/pow(x0,a);
2167
2168 a += 1.0;
2169 if( a == 0 ) result = b*log(x0/e0);
2170 else result = y0*(x0 - e0*pow(d,a-1))/a;
2171 a += 1.0;
2172
2173 if( a == 0 ) fIntegralResonance[0] += b*log(x0/e0);
2174 else fIntegralResonance[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
2175
2176 x0 = fSplineEnergy[i - 1];
2177 x1 = fSplineEnergy[i - 2];
2178 y0 = fdNdxResonance[i - 1];
2179 yy1 = fdNdxResonance[i - 2];
2180
2181 c = x1/x0;
2182 d = e0/x0;
2183 a = log10(yy1/y0)/log10(c);
2184
2185 if(a > 20.0) b = 0.0;
2186 else b = y0/pow(x0,a);
2187
2188 a += 1.0;
2189 if( a == 0 ) result += b*log(e0/x0);
2190 else result += y0*(e0*pow(d,a-1) - x0)/a;
2191 a += 1.0;
2192
2193 if( a == 0 ) fIntegralResonance[0] += b*log(e0/x0);
2194 else fIntegralResonance[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
2195
2196 return result;
2197
2198}
2199
2200/////////////////////////////////////////////////////////////////////////
2201//
2202// Returns random PAI-total energy loss over step
2203
2204G4double G4PAIxSection::GetStepEnergyLoss( G4double step )
2205{
2206 G4long numOfCollisions;
2207 G4double meanNumber, loss = 0.0;
2208
2209 // G4cout<<" G4PAIxSection::GetStepEnergyLoss "<<G4endl;
2210
2211 meanNumber = fIntegralPAIxSection[1]*step;
2212 numOfCollisions = G4Poisson(meanNumber);
2213
2214 // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
2215
2216 while(numOfCollisions)
2217 {
2218 loss += GetEnergyTransfer();
2219 numOfCollisions--;
2220 // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
2221 }
2222 // G4cout<<"PAI energy loss = "<<loss/keV<<" keV"<<G4endl;
2223
2224 return loss;
2225}
2226
2227/////////////////////////////////////////////////////////////////////////
2228//
2229// Returns random PAI-total energy transfer in one collision
2230
2231G4double G4PAIxSection::GetEnergyTransfer()
2232{
2233 G4int iTransfer ;
2234
2235 G4double energyTransfer, position;
2236
2237 position = fIntegralPAIxSection[1]*G4UniformRand();
2238
2239 for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
2240 {
2241 if( position >= fIntegralPAIxSection[iTransfer] ) break;
2242 }
2243 if(iTransfer > fSplineNumber) iTransfer--;
2244
2245 energyTransfer = fSplineEnergy[iTransfer];
2246
2247 if(iTransfer > 1)
2248 {
2249 energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
2250 }
2251 return energyTransfer;
2252}
2253
2254/////////////////////////////////////////////////////////////////////////
2255//
2256// Returns random Cerenkov energy loss over step
2257
2258G4double G4PAIxSection::GetStepCerenkovLoss( G4double step )
2259{
2260 G4long numOfCollisions;
2261 G4double meanNumber, loss = 0.0;
2262
2263 // G4cout<<" G4PAIxSection::GetStepCerenkovLoss "<<G4endl;
2264
2265 meanNumber = fIntegralCerenkov[1]*step;
2266 numOfCollisions = G4Poisson(meanNumber);
2267
2268 // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
2269
2270 while(numOfCollisions)
2271 {
2272 loss += GetCerenkovEnergyTransfer();
2273 numOfCollisions--;
2274 // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
2275 }
2276 // G4cout<<"PAI Cerenkov loss = "<<loss/keV<<" keV"<<G4endl;
2277
2278 return loss;
2279}
2280
2281/////////////////////////////////////////////////////////////////////////
2282//
2283// Returns random MM-Cerenkov energy loss over step
2284
2285G4double G4PAIxSection::GetStepMMLoss( G4double step )
2286{
2287 G4long numOfCollisions;
2288 G4double meanNumber, loss = 0.0;
2289
2290 // G4cout<<" G4PAIxSection::GetStepMMLoss "<<G4endl;
2291
2292 meanNumber = fIntegralMM[1]*step;
2293 numOfCollisions = G4Poisson(meanNumber);
2294
2295 // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
2296
2297 while(numOfCollisions)
2298 {
2299 loss += GetMMEnergyTransfer();
2300 numOfCollisions--;
2301 // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
2302 }
2303 // G4cout<<"PAI MM-Cerenkov loss = "<<loss/keV<<" keV"<<G4endl;
2304
2305 return loss;
2306}
2307
2308/////////////////////////////////////////////////////////////////////////
2309//
2310// Returns Cerenkov energy transfer in one collision
2311
2312G4double G4PAIxSection::GetCerenkovEnergyTransfer()
2313{
2314 G4int iTransfer ;
2315
2316 G4double energyTransfer, position;
2317
2318 position = fIntegralCerenkov[1]*G4UniformRand();
2319
2320 for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
2321 {
2322 if( position >= fIntegralCerenkov[iTransfer] ) break;
2323 }
2324 if(iTransfer > fSplineNumber) iTransfer--;
2325
2326 energyTransfer = fSplineEnergy[iTransfer];
2327
2328 if(iTransfer > 1)
2329 {
2330 energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
2331 }
2332 return energyTransfer;
2333}
2334
2335/////////////////////////////////////////////////////////////////////////
2336//
2337// Returns MM-Cerenkov energy transfer in one collision
2338
2339G4double G4PAIxSection::GetMMEnergyTransfer()
2340{
2341 G4int iTransfer ;
2342
2343 G4double energyTransfer, position;
2344
2345 position = fIntegralMM[1]*G4UniformRand();
2346
2347 for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
2348 {
2349 if( position >= fIntegralMM[iTransfer] ) break;
2350 }
2351 if(iTransfer > fSplineNumber) iTransfer--;
2352
2353 energyTransfer = fSplineEnergy[iTransfer];
2354
2355 if(iTransfer > 1)
2356 {
2357 energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
2358 }
2359 return energyTransfer;
2360}
2361
2362/////////////////////////////////////////////////////////////////////////
2363//
2364// Returns random plasmon energy loss over step
2365
2366G4double G4PAIxSection::GetStepPlasmonLoss( G4double step )
2367{
2368 G4long numOfCollisions;
2369 G4double meanNumber, loss = 0.0;
2370
2371 // G4cout<<" G4PAIxSection::GetStepPlasmonLoss "<<G4endl;
2372
2373 meanNumber = fIntegralPlasmon[1]*step;
2374 numOfCollisions = G4Poisson(meanNumber);
2375
2376 // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
2377
2378 while(numOfCollisions)
2379 {
2380 loss += GetPlasmonEnergyTransfer();
2381 numOfCollisions--;
2382 // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
2383 }
2384 // G4cout<<"PAI Plasmon loss = "<<loss/keV<<" keV"<<G4endl;
2385
2386 return loss;
2387}
2388
2389/////////////////////////////////////////////////////////////////////////
2390//
2391// Returns plasmon energy transfer in one collision
2392
2393G4double G4PAIxSection::GetPlasmonEnergyTransfer()
2394{
2395 G4int iTransfer ;
2396
2397 G4double energyTransfer, position;
2398
2399 position = fIntegralPlasmon[1]*G4UniformRand();
2400
2401 for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
2402 {
2403 if( position >= fIntegralPlasmon[iTransfer] ) break;
2404 }
2405 if(iTransfer > fSplineNumber) iTransfer--;
2406
2407 energyTransfer = fSplineEnergy[iTransfer];
2408
2409 if(iTransfer > 1)
2410 {
2411 energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
2412 }
2413 return energyTransfer;
2414}
2415
2416/////////////////////////////////////////////////////////////////////////
2417//
2418// Returns random resonance energy loss over step
2419
2420G4double G4PAIxSection::GetStepResonanceLoss( G4double step )
2421{
2422 G4long numOfCollisions;
2423 G4double meanNumber, loss = 0.0;
2424
2425 // G4cout<<" G4PAIxSection::GetStepCreLosnkovs "<<G4endl;
2426
2427 meanNumber = fIntegralResonance[1]*step;
2428 numOfCollisions = G4Poisson(meanNumber);
2429
2430 // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
2431
2432 while(numOfCollisions)
2433 {
2434 loss += GetResonanceEnergyTransfer();
2435 numOfCollisions--;
2436 // Loop checking, 03-Aug-2015, Vladimir Ivanchenko
2437 }
2438 // G4cout<<"PAI resonance loss = "<<loss/keV<<" keV"<<G4endl;
2439
2440 return loss;
2441}
2442
2443
2444/////////////////////////////////////////////////////////////////////////
2445//
2446// Returns resonance energy transfer in one collision
2447
2448G4double G4PAIxSection::GetResonanceEnergyTransfer()
2449{
2450 G4int iTransfer ;
2451
2452 G4double energyTransfer, position;
2453
2454 position = fIntegralResonance[1]*G4UniformRand();
2455
2456 for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
2457 {
2458 if( position >= fIntegralResonance[iTransfer] ) break;
2459 }
2460 if(iTransfer > fSplineNumber) iTransfer--;
2461
2462 energyTransfer = fSplineEnergy[iTransfer];
2463
2464 if(iTransfer > 1)
2465 {
2466 energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
2467 }
2468 return energyTransfer;
2469}
2470
2471
2472/////////////////////////////////////////////////////////////////////////
2473//
2474// Returns Rutherford energy transfer in one collision
2475
2476G4double G4PAIxSection::GetRutherfordEnergyTransfer()
2477{
2478 G4int iTransfer ;
2479
2480 G4double energyTransfer, position;
2481
2482 position = (fIntegralPlasmon[1]-fIntegralResonance[1])*G4UniformRand();
2483
2484 for( iTransfer = 1; iTransfer <= fSplineNumber; iTransfer++ )
2485 {
2486 if( position >= (fIntegralPlasmon[iTransfer]-fIntegralResonance[iTransfer]) ) break;
2487 }
2488 if(iTransfer > fSplineNumber) iTransfer--;
2489
2490 energyTransfer = fSplineEnergy[iTransfer];
2491
2492 if(iTransfer > 1)
2493 {
2494 energyTransfer -= (fSplineEnergy[iTransfer]-fSplineEnergy[iTransfer-1])*G4UniformRand();
2495 }
2496 return energyTransfer;
2497}
2498
2499/////////////////////////////////////////////////////////////////////////////
2500//
2501
2502void G4PAIxSection::CallError(G4int i, const G4String& methodName) const
2503{
2504 G4String head = "G4PAIxSection::" + methodName + "()";
2505 G4ExceptionDescription ed;
2506 ed << "Wrong index " << i << " fSplineNumber= " << fSplineNumber;
2507 G4Exception(head,"pai001",FatalException,ed);
2508}
2509
2510/////////////////////////////////////////////////////////////////////////////
2511//
2512// Init array of Lorentz factors
2513//
2514
2515G4int G4PAIxSection::fNumberOfGammas = 111;
2516
2517const G4double G4PAIxSection::fLorentzFactor[112] = // fNumberOfGammas+1
2518{
25190.0,
25201.094989e+00, 1.107813e+00, 1.122369e+00, 1.138890e+00, 1.157642e+00,
25211.178925e+00, 1.203082e+00, 1.230500e+00, 1.261620e+00, 1.296942e+00, // 10
25221.337032e+00, 1.382535e+00, 1.434181e+00, 1.492800e+00, 1.559334e+00,
25231.634850e+00, 1.720562e+00, 1.817845e+00, 1.928263e+00, 2.053589e+00, // 20
25242.195835e+00, 2.357285e+00, 2.540533e+00, 2.748522e+00, 2.984591e+00,
25253.252533e+00, 3.556649e+00, 3.901824e+00, 4.293602e+00, 4.738274e+00, // 30
25265.242981e+00, 5.815829e+00, 6.466019e+00, 7.203990e+00, 8.041596e+00,
25278.992288e+00, 1.007133e+01, 1.129606e+01, 1.268614e+01, 1.426390e+01, // 40
25281.605467e+01, 1.808721e+01, 2.039417e+01, 2.301259e+01, 2.598453e+01,
25292.935771e+01, 3.318630e+01, 3.753180e+01, 4.246399e+01, 4.806208e+01, // 50
25305.441597e+01, 6.162770e+01, 6.981310e+01, 7.910361e+01, 8.964844e+01,
25311.016169e+02, 1.152013e+02, 1.306197e+02, 1.481198e+02, 1.679826e+02, // 60
25321.905270e+02, 2.161152e+02, 2.451581e+02, 2.781221e+02, 3.155365e+02,
25333.580024e+02, 4.062016e+02, 4.609081e+02, 5.230007e+02, 5.934765e+02, // 70
25346.734672e+02, 7.642575e+02, 8.673056e+02, 9.842662e+02, 1.117018e+03,
25351.267692e+03, 1.438709e+03, 1.632816e+03, 1.853128e+03, 2.103186e+03, // 80
25362.387004e+03, 2.709140e+03, 3.074768e+03, 3.489760e+03, 3.960780e+03,
25374.495394e+03, 5.102185e+03, 5.790900e+03, 6.572600e+03, 7.459837e+03, // 90
25388.466860e+03, 9.609843e+03, 1.090714e+04, 1.237959e+04, 1.405083e+04,
25391.594771e+04, 1.810069e+04, 2.054434e+04, 2.331792e+04, 2.646595e+04, // 100
25403.003901e+04, 3.409446e+04, 3.869745e+04, 4.392189e+04, 4.985168e+04,
25415.658206e+04, 6.422112e+04, 7.289153e+04, 8.273254e+04, 9.390219e+04, // 110
25421.065799e+05
2543};
2544
2545///////////////////////////////////////////////////////////////////////
2546//
2547// The number of gamma for creation of spline (near ion-min , G ~ 4 )
2548//
2549
2550const
2551G4int G4PAIxSection::fRefGammaNumber = 29;
2552
2553
2554//
2555// end of G4PAIxSection implementation file
2556//
2557////////////////////////////////////////////////////////////////////////////
2558
FatalException
@ FatalException
Definition G4ExceptionSeverity.hh:67
G4Exception
void G4Exception(const char *originOfException, const char *exceptionCode, G4ExceptionSeverity severity, const char *description)
Definition G4Exception.cc:59
G4ExceptionDescription
std::ostringstream G4ExceptionDescription
Definition G4Exception.hh:40
G4MaterialTable
std::vector< G4Material * > G4MaterialTable
Definition G4MaterialTable.hh:33
G4Poisson
G4long G4Poisson(G4double mean)
Definition G4Poisson.hh:50
G4double
double G4double
Definition G4Types.hh:83
G4long
long G4long
Definition G4Types.hh:87
G4int
int G4int
Definition G4Types.hh:85
G4endl
#define G4endl
Definition G4ios.hh:67
G4cout
G4GLOB_DLL std::ostream G4cout
G4UniformRand
#define G4UniformRand()
Definition Randomize.hh:52
G4Element::GetZ
G4double GetZ() const
Definition G4Element.hh:119
G4MaterialCutsCouple::GetMaterial
const G4Material * GetMaterial() const
Definition G4MaterialCutsCouple.hh:166
G4Material::GetDensity
G4double GetDensity() const
Definition G4Material.hh:174
G4Material::GetElement
const G4Element * GetElement(G4int iel) const
Definition G4Material.hh:192
G4Material::GetElectronDensity
G4double GetElectronDensity() const
Definition G4Material.hh:203
G4Material::GetIndex
std::size_t GetIndex() const
Definition G4Material.hh:239
G4Material::GetMaterialTable
static G4MaterialTable * GetMaterialTable()
Definition G4Material.cc:645
G4Material::GetNumberOfElements
std::size_t GetNumberOfElements() const
Definition G4Material.hh:180
G4PAIxSection::RutherfordIntegral
G4double RutherfordIntegral(G4int intervalNumber, G4double limitLow, G4double limitHigh)
Definition G4PAIxSection.cc:1055
G4PAIxSection::ImPartDielectricConst
G4double ImPartDielectricConst(G4int intervalNumber, G4double energy)
Definition G4PAIxSection.cc:1076
G4PAIxSection::GetPlasmonEnergyTransfer
G4double GetPlasmonEnergyTransfer()
Definition G4PAIxSection.cc:2393
G4PAIxSection::SumOverIntervaldEdx
G4double SumOverIntervaldEdx(G4int intervalNumber)
Definition G4PAIxSection.cc:1662
G4PAIxSection::SumOverInterCerenkov
G4double SumOverInterCerenkov(G4int intervalNumber)
Definition G4PAIxSection.cc:1698
G4PAIxSection::GetStepMMLoss
G4double GetStepMMLoss(G4double step)
Definition G4PAIxSection.cc:2285
G4PAIxSection::SumOverBordCerenkov
G4double SumOverBordCerenkov(G4int intervalNumber, G4double energy)
Definition G4PAIxSection.cc:1972
G4PAIxSection::GetStepPlasmonLoss
G4double GetStepPlasmonLoss(G4double step)
Definition G4PAIxSection.cc:2366
G4PAIxSection::GetRutherfordEnergyTransfer
G4double GetRutherfordEnergyTransfer()
Definition G4PAIxSection.cc:2476
G4PAIxSection::SumOverBordResonance
G4double SumOverBordResonance(G4int intervalNumber, G4double energy)
Definition G4PAIxSection.cc:2150
G4PAIxSection::ComputeLowEnergyCof
void ComputeLowEnergyCof()
Definition G4PAIxSection.cc:779
G4PAIxSection::SumOverInterMM
G4double SumOverInterMM(G4int intervalNumber)
Definition G4PAIxSection.cc:1736
G4PAIxSection::RePartDielectricConst
G4double RePartDielectricConst(G4double energy)
Definition G4PAIxSection.cc:1167
G4PAIxSection::GetElectronRange
G4double GetElectronRange(G4double energy)
Definition G4PAIxSection.cc:1125
G4PAIxSection::SumOverInterPlasmon
G4double SumOverInterPlasmon(G4int intervalNumber)
Definition G4PAIxSection.cc:1775
G4PAIxSection::GetMMEnergyTransfer
G4double GetMMEnergyTransfer()
Definition G4PAIxSection.cc:2339
G4PAIxSection::PAIdNdxMM
G4double PAIdNdxMM(G4int intervalNumber, G4double betaGammaSq)
Definition G4PAIxSection.cc:1340
G4PAIxSection::SumOverBorderdEdx
G4double SumOverBorderdEdx(G4int intervalNumber, G4double energy)
Definition G4PAIxSection.cc:1917
G4PAIxSection::SumOverBordMM
G4double SumOverBordMM(G4int intervalNumber, G4double energy)
Definition G4PAIxSection.cc:2032
G4PAIxSection::DifPAIxSection
G4double DifPAIxSection(G4int intervalNumber, G4double betaGammaSq)
Definition G4PAIxSection.cc:1221
G4PAIxSection::PAIdNdxCerenkov
G4double PAIdNdxCerenkov(G4int intervalNumber, G4double betaGammaSq)
Definition G4PAIxSection.cc:1282
G4PAIxSection::GetStepResonanceLoss
G4double GetStepResonanceLoss(G4double step)
Definition G4PAIxSection.cc:2420
G4PAIxSection::GetResonanceEnergyTransfer
G4double GetResonanceEnergyTransfer()
Definition G4PAIxSection.cc:2448
G4PAIxSection::PAIdNdxResonance
G4double PAIdNdxResonance(G4int intervalNumber, G4double betaGammaSq)
Definition G4PAIxSection.cc:1427
G4PAIxSection::SplainPAI
void SplainPAI(G4double betaGammaSq)
Definition G4PAIxSection.cc:950
G4PAIxSection::GetEnergyTransfer
G4double GetEnergyTransfer()
Definition G4PAIxSection.cc:2231
G4PAIxSection::GetCerenkovEnergyTransfer
G4double GetCerenkovEnergyTransfer()
Definition G4PAIxSection.cc:2312
G4PAIxSection::NormShift
void NormShift(G4double betaGammaSq)
Definition G4PAIxSection.cc:873
G4PAIxSection::PAIdNdxPlasmon
G4double PAIdNdxPlasmon(G4int intervalNumber, G4double betaGammaSq)
Definition G4PAIxSection.cc:1390
G4PAIxSection::GetPhotonRange
G4double GetPhotonRange(G4double energy)
Definition G4PAIxSection.cc:1096
G4PAIxSection::IntegralPAIxSection
void IntegralPAIxSection()
Definition G4PAIxSection.cc:1466
G4PAIxSection::SumOverInterval
G4double SumOverInterval(G4int intervalNumber)
Definition G4PAIxSection.cc:1614
G4PAIxSection::SumOverBorder
G4double SumOverBorder(G4int intervalNumber, G4double energy)
Definition G4PAIxSection.cc:1844
G4PAIxSection::GetStepCerenkovLoss
G4double GetStepCerenkovLoss(G4double step)
Definition G4PAIxSection.cc:2258
G4PAIxSection::GetStepEnergyLoss
G4double GetStepEnergyLoss(G4double step)
Definition G4PAIxSection.cc:2204
G4PAIxSection::SumOverInterResonance
G4double SumOverInterResonance(G4int intervalNumber)
Definition G4PAIxSection.cc:1810
G4PAIxSection::SumOverBordPlasmon
G4double SumOverBordPlasmon(G4int intervalNumber, G4double energy)
Definition G4PAIxSection.cc:2096
G4PAIxSection::GetLorentzFactor
G4double GetLorentzFactor(G4int i) const
Definition G4PAIxSection.cc:597
G4PAIxSection::Initialize
void Initialize(const G4Material *material, G4double maxEnergyTransfer, G4double betaGammaSq, G4SandiaTable *)
Definition G4PAIxSection.cc:606
G4SandiaTable::GetMaxInterval
G4int GetMaxInterval() const
Definition G4SandiaTable.cc:650
G4SandiaTable::GetSandiaMatTablePAI
G4double GetSandiaMatTablePAI(G4int, G4int) const
Definition G4SandiaTable.cc:949
G4SandiaTable::SandiaMixing
G4int SandiaMixing(G4int Z[], const G4double *fractionW, G4int el, G4int mi)
Definition G4SandiaTable.cc:790
G4SandiaTable::SandiaIntervals
G4int SandiaIntervals(G4int Z[], G4int el)
Definition G4SandiaTable.cc:699
G4SandiaTable::GetSandiaMatTable
G4double GetSandiaMatTable(G4int, G4int) const
Definition G4SandiaTable.cc:932
G4SandiaTable::GetLowerI1
G4bool GetLowerI1()
Definition G4SandiaTable.hh:106
G4SandiaTable::GetPhotoAbsorpCof
G4double GetPhotoAbsorpCof(G4int i, G4int j) const
Definition G4SandiaTable.cc:673
DBL_MIN
#define DBL_MIN
Definition templates.hh:54
DBL_MAX
#define DBL_MAX
Definition templates.hh:62