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25 //
26 //
27 //
28 // G4PAIySection.cc -- class implementation fi
29 //
30 // GEANT 4 class implementation file
31 //
32 // For information related to this code, pleas
33 // the Geant4 Collaboration.
34 //
35 // R&D: Vladimir.Grichine@cern.ch
36 //
37 // History:
38 //
39 // 01.10.07, V.Ivanchenko create using V.Grich
40 // 26.07.09, V.Ivanchenko added protection for
41 // low-density materials
42 // 21.11.10 V. Grichine bug fixed in Initialis
43 // material. Warning: the table is
44 // 23.06.13 V.Grichine arrays->G4DataVectors
45 //
46
47 #include "G4PAIySection.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 #include "G4Exp.hh"
58 #include "G4Log.hh"
59
60 using namespace std;
61
62 // Local class constants
63
64 const G4double G4PAIySection::fDelta = 0.005;
65 const G4double G4PAIySection::fError = 0.005;
66
67 const G4int G4PAIySection::fMaxSplineSize = 50
68
69
70 //////////////////////////////////////////////
71 //
72 // Constructor
73 //
74
75 G4PAIySection::G4PAIySection()
76 {
77 fSandia = nullptr;
78 fDensity = fElectronDensity = fNormalization
79 fIntervalNumber = fSplineNumber = 0;
80 fVerbose = 0;
81
82 betaBohr = fine_structure_const;
83 G4double cofBetaBohr = 4.0;
84 G4double betaBohr2 = fine_structure_const*fi
85 betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
86
87 fSplineEnergy = G4DataVector(fMaxSp
88 fRePartDielectricConst = G4DataVector(fMaxSp
89 fImPartDielectricConst = G4DataVector(fMaxSp
90 fIntegralTerm = G4DataVector(fMaxSp
91 fDifPAIySection = G4DataVector(fMaxSp
92 fdNdxCerenkov = G4DataVector(fMaxSp
93 fdNdxPlasmon = G4DataVector(fMaxSp
94 fIntegralPAIySection = G4DataVector(fMaxSp
95 fIntegralPAIdEdx = G4DataVector(fMaxSp
96 fIntegralCerenkov = G4DataVector(fMaxSp
97 fIntegralPlasmon = G4DataVector(fMaxSp
98
99 for( G4int i = 0; i < 500; ++i )
100 {
101 for( G4int j = 0; j < 112; ++j ) { fPAItab
102 }
103 }
104
105 //////////////////////////////////////////////
106 //
107 //
108
109 G4double G4PAIySection::GetLorentzFactor(G4int
110 {
111 return fLorentzFactor[j];
112 }
113
114 //////////////////////////////////////////////
115 //
116 // Constructor with beta*gamma square value ca
117
118 void G4PAIySection::Initialize( const G4Materi
119 G4double maxEn
120 G4double betaG
121 G4SandiaTable*
122 {
123 if(fVerbose > 0)
124 {
125 G4cout<<G4endl;
126 G4cout<<"G4PAIySection::Initialize(...,G4S
127 G4cout<<G4endl;
128 }
129 G4int i, j;
130
131 fSandia = sandia;
132 fIntervalNumber = sandia->GetMaxInterval();
133 fDensity = material->GetDensity();
134 fElectronDensity = material->GetElectronDens
135
136 // fIntervalNumber--;
137
138 if( fVerbose > 0 )
139 {
140 G4cout<<"fDensity = "<<fDensity<<"\t"<<fEl
141 <<fIntervalNumber<< " (beta*gamma)^2
142 }
143 fEnergyInterval = G4DataVector(fIntervalNumb
144 fA1 = G4DataVector(fIntervalNumb
145 fA2 = G4DataVector(fIntervalNumb
146 fA3 = G4DataVector(fIntervalNumb
147 fA4 = G4DataVector(fIntervalNumb
148
149 for( i = 1; i <= fIntervalNumber; ++i )
150 {
151 if ( sandia->GetSandiaMatTablePAI(i-1,0) <
152 {
153 fIntervalNumber--;
154 continue;
155 }
156 if( ( sandia->GetSandiaMatTablePAI(i-1,0)
157 || i >= fIntervalNumber )
158 {
159 fEnergyInterval[i] = maxEnergyTransfer;
160 fIntervalNumber = i;
161 break;
162 }
163 fEnergyInterval[i] = sandia->GetSandiaMatT
164 fA1[i] = sandia->GetSandiaMatT
165 fA2[i] = sandia->GetSandiaMatT
166 fA3[i] = sandia->GetSandiaMatT
167 fA4[i] = sandia->GetSandiaMatT
168
169 if( fVerbose > 0 ) {
170 G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<
171 <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4en
172 }
173 }
174 if( fVerbose > 0 ) {
175 G4cout<<"last i = "<<i<<"; "<<"fIntervalNu
176 <<fIntervalNumber<<G4endl;
177 }
178 if( fEnergyInterval[fIntervalNumber] != maxE
179 {
180 fIntervalNumber++;
181 fEnergyInterval[fIntervalNumber] = maxEn
182 }
183 if( fVerbose > 0 )
184 {
185 for( i = 1; i <= fIntervalNumber; ++i )
186 {
187 G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<
188 <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
189 }
190 }
191 if( fVerbose > 0 ) {
192 G4cout<<"Now checking, if two borders are
193 }
194 for( i = 1; i < fIntervalNumber; ++i )
195 {
196 if( fEnergyInterval[i+1]-fEnergyInterval[i
197 1.5*fDelta*(fEnergyInterval[i+1]+fEne
198 else
199 {
200 for( j = i; j < fIntervalNumber; j++ )
201 {
202 fEnergyInterval[j] = fEnergyInte
203 fA1[j] = fA1[j+1];
204 fA2[j] = fA2[j+1];
205 fA3[j] = fA3[j+1];
206 fA4[j] = fA4[j+1];
207 }
208 fIntervalNumber--;
209 }
210 }
211 if( fVerbose > 0 )
212 {
213 for( i = 1; i <= fIntervalNumber; ++i )
214 {
215 G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<
216 <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl;
217 }
218 }
219 // Preparation of fSplineEnergy array corres
220
221 ComputeLowEnergyCof(material);
222
223 G4double betaGammaSqRef =
224 fLorentzFactor[fRefGammaNumber]*fLorentzFa
225
226 NormShift(betaGammaSqRef);
227 SplainPAI(betaGammaSqRef);
228
229 // Preparation of integral PAI cross section
230
231 for( i = 1; i <= fSplineNumber; ++i )
232 {
233 fDifPAIySection[i] = DifPAIySection(i,bet
234
235 if( fVerbose > 0 ) G4cout<<i<<"; dNdxPAI
236 }
237 IntegralPAIySection();
238 }
239
240 //////////////////////////////////////////////
241 //
242 // Compute low energy cof. It reduces PAI xsc
243 //
244
245 void G4PAIySection::ComputeLowEnergyCof(const
246 {
247 G4int i, numberOfElements = (G4int)material-
248 G4double sumZ = 0., sumCof = 0.;
249
250 static const G4double p0 = 1.20923e+00;
251 static const G4double p1 = 3.53256e-01;
252 static const G4double p2 = -1.45052e-03;
253
254 G4double* thisMaterialZ = new G4double[num
255 G4double* thisMaterialCof = new G4double[num
256
257 for( i = 0; i < numberOfElements; ++i )
258 {
259 thisMaterialZ[i] = material->GetElement(i)
260 sumZ += thisMaterialZ[i];
261 thisMaterialCof[i] = p0+p1*thisMaterialZ[i
262 }
263 for( i = 0; i < numberOfElements; ++i )
264 {
265 sumCof += thisMaterialCof[i]*thisMaterialZ
266 }
267 fLowEnergyCof = sumCof;
268 delete [] thisMaterialZ;
269 delete [] thisMaterialCof;
270 // G4cout<<"fLowEnergyCof = "<<fLowEnergyCof
271 }
272
273 //////////////////////////////////////////////
274 //
275 // General control function for class G4PAIySe
276 //
277
278 void G4PAIySection::InitPAI()
279 {
280 G4int i;
281 G4double betaGammaSq = fLorentzFactor[fRefG
282 fLorentzFactor[fRefG
283
284 // Preparation of integral PAI cross sectio
285
286 NormShift(betaGammaSq);
287 SplainPAI(betaGammaSq);
288
289 IntegralPAIySection();
290 IntegralCerenkov();
291 IntegralPlasmon();
292
293 for( i = 0; i<= fSplineNumber; ++i)
294 {
295 fPAItable[i][fRefGammaNumber] = fIntegral
296
297 if(i != 0) fPAItable[i][0] = fSplineEner
298 }
299 fPAItable[0][0] = fSplineNumber;
300
301 for( G4int j = 1; j < 112; ++j) // fo
302 {
303 if( j == fRefGammaNumber ) continue;
304
305 betaGammaSq = fLorentzFactor[j]*fLorentz
306
307 for(i = 1; i <= fSplineNumber; ++i)
308 {
309 fDifPAIySection[i] = DifPAIySection(i
310 fdNdxCerenkov[i] = PAIdNdxCerenkov(
311 fdNdxPlasmon[i] = PAIdNdxPlasmon(i
312 }
313 IntegralPAIySection();
314 IntegralCerenkov();
315 IntegralPlasmon();
316
317 for(i = 0; i <= fSplineNumber; ++i)
318 {
319 fPAItable[i][j] = fIntegralPAIySection
320 }
321 }
322 }
323
324 //////////////////////////////////////////////
325 //
326 // Shifting from borders to intervals Creation
327 //
328
329 void G4PAIySection::NormShift(G4double betaGam
330 {
331 G4int i, j;
332
333 for( i = 1; i <= fIntervalNumber-1; ++i)
334 {
335 for( j = 1; j <= 2; ++j)
336 {
337 fSplineNumber = (i-1)*2 + j;
338
339 if( j == 1 ) fSplineEnergy[fSplineNumber
340 else fSplineEnergy[fSplineNumber
341 // G4cout<<"cn = "<<fSplineNumber<<";
342 // <<fSplineEnergy[fSplineNumber]<<G4en
343 }
344 }
345 fIntegralTerm[1]=RutherfordIntegral(1,fEnerg
346
347 j = 1;
348
349 for(i=2;i<=fSplineNumber;++i)
350 {
351 if(fSplineEnergy[i]<fEnergyInterval[j+1])
352 {
353 fIntegralTerm[i] = fIntegralTerm[i-1]
354 RutherfordIntegral
355
356 }
357 else
358 {
359 G4double x = RutherfordIntegral(j,fSpli
360 fEn
361 j++;
362 fIntegralTerm[i] = fIntegralTerm[i-1]
363 RutherfordIntegral
364
365 }
366 // G4cout<<i<<"\t"<<fSplineEnergy[i]<<"\t"
367 }
368 static const G4double nfactor =
369 2*pi*pi*hbarc*hbarc*fine_structure_const/e
370 fNormalizationCof = nfactor*fElectronDensity
371
372 // G4cout<<"fNormalizationCof = "<<fNormaliz
373
374 // Calculation of PAI differrential cross-se
375 // in the energy points near borders of ener
376
377 for(G4int k=1; k<=fIntervalNumber-1; ++k)
378 {
379 for(j=1; j<=2; ++j)
380 {
381 i = (k-1)*2 + j;
382 fImPartDielectricConst[i] = fNormaliz
383 ImPartDie
384 fRePartDielectricConst[i] = fNormaliz
385 RePartDie
386 fIntegralTerm[i] *= fNormalizationCof
387
388 fDifPAIySection[i] = DifPAIySection(i
389 fdNdxCerenkov[i] = PAIdNdxCerenkov(
390 fdNdxPlasmon[i] = PAIdNdxPlasmon(i
391 }
392 }
393
394 } // end of NormShift
395
396 //////////////////////////////////////////////
397 //
398 // Creation of new energy points as geometrica
399 // one, calculation PAI_cs for them, while the
400 // linear approximation would be smaller than
401
402 void G4PAIySection::SplainPAI(G4double betaGam
403 {
404 G4int k = 1;
405 G4int i = 1;
406
407 while ( (i < fSplineNumber) && (fSplineNumb
408 {
409 if(fSplineEnergy[i+1] > fEnergyInterval[
410 {
411 k++; // Here next energy point is
412 ++i;
413 continue;
414 }
415 // Shifting of arrayes for inserting the
416 // average of 'i' and 'i+1' energy point
417 fSplineNumber++;
418
419 for(G4int j = fSplineNumber; j >= i+2; j
420 {
421 fSplineEnergy[j] = fSplineEn
422 fImPartDielectricConst[j] = fImPartDi
423 fRePartDielectricConst[j] = fRePartDi
424 fIntegralTerm[j] = fIntegral
425
426 fDifPAIySection[j] = fDifPAIySection[
427 fdNdxCerenkov[j] = fdNdxCerenkov[j-
428 fdNdxPlasmon[j] = fdNdxPlasmon[j-1
429 }
430 G4double x1 = fSplineEnergy[i];
431 G4double x2 = fSplineEnergy[i+1];
432 G4double yy1 = fDifPAIySection[i];
433 G4double y2 = fDifPAIySection[i+1];
434
435 G4double en1 = sqrt(x1*x2);
436 fSplineEnergy[i+1] = en1;
437
438 // Calculation of logarithmic linear app
439 // in this (enr) energy point, which num
440
441 G4double a = log10(y2/yy1)/log10(x2/x1);
442 G4double b = log10(yy1) - a*log10(x1);
443 G4double y = a*log10(en1) + b;
444 y = pow(10.,y);
445
446 // Calculation of the PAI dif. cross-sec
447
448 fImPartDielectricConst[i+1] = fNormaliza
449 ImPartDiel
450 fRePartDielectricConst[i+1] = fNormaliza
451 RePartDiel
452 fIntegralTerm[i+1] = fIntegralTerm[i] +
453 RutherfordIntegral(
454
455
456 fDifPAIySection[i+1] = DifPAIySection(i+
457 fdNdxCerenkov[i+1] = PAIdNdxCerenkov(i
458 fdNdxPlasmon[i+1] = PAIdNdxPlasmon(i+
459
460 // Condition for next divisi
461 // to higher energies
462
463 G4double x = 2*(fDifPAIySection[i+1] - y
464
465 G4double delta = 2.*(fSplineEnergy[i+1]-
466 /(fSplineEnergy[i+1]+fSplineEnergy[i])
467
468 if( x < 0 )
469 {
470 x = -x;
471 }
472 if( x > fError && fSplineNumber < fMaxSp
473 {
474 continue; // next division
475 }
476 i += 2; // pass to next segment
477
478 // Loop checking, 03-Aug-2015, Vladimir
479 } // close 'while'
480
481 } // end of SplainPAI
482
483
484 //////////////////////////////////////////////
485 //
486 // Integration over electrons that could be co
487 // quasi-free at energy transfer of interest
488
489 G4double G4PAIySection::RutherfordIntegral( G4
490 G4
491
492 {
493 G4double c1, c2, c3;
494 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<
495 G4double x12 = x1*x2;
496 c1 = (x2 - x1)/x12;
497 c2 = (x2 - x1)*(x2 + x1)/(x12*x12);
498 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/(x12
499 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<
500
501 return fA1[k]*log(x2/x1) + fA2[k]*c1 + fA3
502
503 } // end of RutherfordIntegral
504
505
506 //////////////////////////////////////////////
507 //
508 // Imaginary part of dielectric constant
509 // (G4int k - interval number, G4double en1 -
510
511 G4double G4PAIySection::ImPartDielectricConst(
512 {
513 G4double energy2,energy3,energy4,result;
514
515 energy2 = energy1*energy1;
516 energy3 = energy2*energy1;
517 energy4 = energy3*energy1;
518
519 result = fA1[k]/energy1+fA2[k]/energy2+fA3[
520 result *=hbarc/energy1;
521
522 return result;
523
524 } // end of ImPartDielectricConst
525
526
527 //////////////////////////////////////////////
528 //
529 // Real part of dielectric constant minus unit
530 // (G4double enb - energy point)
531 //
532
533 G4double G4PAIySection::RePartDielectricConst(
534 {
535 G4double x0, x02, x03, x04, x05, x1, x2, xx
536 c1, c2, c3, cof1, cof2, xln1, xln2
537
538 x0 = enb;
539 result = 0;
540
541 for(G4int i=1;i<=fIntervalNumber-1;++i)
542 {
543 x1 = fEnergyInterval[i];
544 x2 = fEnergyInterval[i+1];
545 xx1 = x1 - x0;
546 xx2 = x2 - x0;
547 xx12 = xx2/xx1;
548
549 if(xx12<0.)
550 {
551 xx12 = -xx12;
552 }
553 xln1 = log(x2/x1);
554 xln2 = log(xx12);
555 xln3 = log((x2 + x0)/(x1 + x0));
556 x02 = x0*x0;
557 x03 = x02*x0;
558 x04 = x03*x0;
559 x05 = x04*x0;
560 G4double x12 = x1*x2;
561 c1 = (x2 - x1)/x12;
562 c2 = (x2 - x1)*(x2 +x1)/(x12*x12);
563 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/(
564
565 result -= (fA1[i]/x02 + fA3[i]/x04)*xln1
566 result -= (fA2[i]/x02 + fA4[i]/x04)*c1;
567 result -= fA3[i]*c2/2/x02;
568 result -= fA4[i]*c3/3/x02;
569
570 cof1 = fA1[i]/x02 + fA3[i]/x04;
571 cof2 = fA2[i]/x03 + fA4[i]/x05;
572
573 result += 0.5*(cof1 +cof2)*xln2;
574 result += 0.5*(cof1 - cof2)*xln3;
575 }
576 result *= 2*hbarc/pi;
577
578 return result;
579
580 } // end of RePartDielectricConst
581
582 //////////////////////////////////////////////
583 //
584 // PAI differential cross-section in terms of
585 // simplified Allison's equation
586 //
587
588 G4double G4PAIySection::DifPAIySection( G4int
589 G4doub
590 {
591 G4double beta, be2,cof,x1,x2,x3,x4,x5,x6,x7
592 be2 = betaGammaSq/(1 + betaGammaSq);
593 beta = std::sqrt(be2);
594 cof = 1;
595 x1 = log(2*electron_mass_c2/fSplineEnergy[i
596
597 if( betaGammaSq < 0.01 ) x2 = log(be2);
598 else
599 {
600 x2 = -log( (1/betaGammaSq - fRePartDielec
601 (1/betaGammaSq - fRePartDielec
602 fImPartDielectricConst[i]*fImP
603 }
604 if( fImPartDielectricConst[i] == 0.0 ||beta
605 {
606 x6=0;
607 }
608 else
609 {
610 x3 = -fRePartDielectricConst[i] + 1/betaG
611 x5 = -1 - fRePartDielectricConst[i] +
612 be2*((1 +fRePartDielectricConst[i])*
613 fImPartDielectricConst[i]*fImPartDie
614
615 x7 = std::atan2(fImPartDielectricConst[i]
616 x6 = x5 * x7;
617 }
618 x4 = ((x1 + x2)*fImPartDielectricConst[i] +
619 x8 = (1 + fRePartDielectricConst[i])*(1 + f
620 fImPartDielectricConst[i]*fImPartDiele
621
622 result = (x4 + cof*fIntegralTerm[i]/fSpline
623 result = std::max(result, 1.0e-8);
624 result *= fine_structure_const/(be2*pi);
625 // low energy correction
626
627 G4double lowCof = fLowEnergyCof; // 6.0 ; /
628
629 result *= (1 - std::exp(-beta/(betaBohr*low
630 if(x8 > 0.)
631 {
632 result /= x8;
633 }
634 return result;
635
636 } // end of DifPAIySection
637
638 //////////////////////////////////////////////
639 //
640 // Calculation od dN/dx of collisions with cre
641
642 G4double G4PAIySection::PAIdNdxCerenkov( G4int
643 {
644 G4double logarithm, x3, x5, argument, modul
645 G4double be2, be4;
646
647 be2 = betaGammaSq/(1 + betaGammaSq);
648 be4 = be2*be2;
649
650 if( betaGammaSq < 0.01 ) logarithm = log(1.
651 else
652 {
653 logarithm = -std::log( (1/betaGammaSq - f
654 (1/betaGammaSq - fRePa
655 fImPartDielectricConst
656 logarithm += std::log(1+1.0/betaGammaSq);
657 }
658
659 if( fImPartDielectricConst[i] == 0.0 || bet
660 {
661 argument = 0.0;
662 }
663 else
664 {
665 x3 = -fRePartDielectricConst[i] + 1.0/bet
666 x5 = -1.0 - fRePartDielectricConst[i] +
667 be2*((1.0 +fRePartDielectricConst[i]
668 fImPartDielectricConst[i]*fImPartDie
669 if( x3 == 0.0 ) argument = 0.5*pi;
670 else argument = std::atan2(fIm
671 argument *= x5 ;
672 }
673 dNdxC = ( logarithm*fImPartDielectricConst[
674
675 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8;
676
677 dNdxC *= fine_structure_const/be2/pi;
678
679 dNdxC *= (1 - std::exp(-be4/betaBohr4));
680
681 modul2 = (1.0 + fRePartDielectricConst[i])*
682 fImPartDielectricConst[i]*
683 if(modul2 > 0.)
684 {
685 dNdxC /= modul2;
686 }
687 return dNdxC;
688
689 } // end of PAIdNdxCerenkov
690
691 //////////////////////////////////////////////
692 //
693 // Calculation od dN/dx of collisions with cre
694 // excitations (plasmons, delta-electrons)
695
696 G4double G4PAIySection::PAIdNdxPlasmon( G4int
697 {
698 G4double cof, resonance, modul2, dNdxP;
699 G4double be2, be4;
700
701 cof = 1;
702
703 be2 = betaGammaSq/(1 + betaGammaSq);
704 be4 = be2*be2;
705
706 resonance = std::log(2*electron_mass_c2*be2
707 resonance *= fImPartDielectricConst[i]/hbar
708
709 dNdxP = ( resonance + cof*fIntegralTerm[i]/
710
711 dNdxP = std::max(dNdxP, 1.0e-8);
712
713 dNdxP *= fine_structure_const/be2/pi;
714 dNdxP *= (1 - std::exp(-be4/betaBohr4));
715
716 modul2 = (1 + fRePartDielectricConst[i])*(1
717 fImPartDielectricConst[i]*fImPartDielectr
718 if(modul2 > 0.)
719 {
720 dNdxP /= modul2;
721 }
722 return dNdxP;
723
724 } // end of PAIdNdxPlasmon
725
726 //////////////////////////////////////////////
727 //
728 // Calculation of the PAI integral cross-secti
729 // fIntegralPAIySection[1] = specific primary
730 // and fIntegralPAIySection[0] = mean energy l
731
732 void G4PAIySection::IntegralPAIySection()
733 {
734 fIntegralPAIySection[fSplineNumber] = 0;
735 fIntegralPAIdEdx[fSplineNumber] = 0;
736 fIntegralPAIySection[0] = 0;
737 G4int k = fIntervalNumber -1;
738
739 for(G4int i = fSplineNumber-1; i >= 1; i--)
740 {
741 if(fSplineEnergy[i] >= fEnergyInterval[k])
742 {
743 fIntegralPAIySection[i] = fIntegralPAIyS
744 fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i
745 }
746 else
747 {
748 fIntegralPAIySection[i] = fIntegralPAIyS
749 SumOverBord
750 fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i
751 SumOverBord
752 k--;
753 }
754 }
755 } // end of IntegralPAIySection
756
757 //////////////////////////////////////////////
758 //
759 // Calculation of the PAI Cerenkov integral cr
760 // fIntegralCrenkov[1] = specific Crenkov ioni
761 // and fIntegralCerenkov[0] = mean Cerenkov lo
762
763 void G4PAIySection::IntegralCerenkov()
764 {
765 G4int i, k;
766 fIntegralCerenkov[fSplineNumber] = 0;
767 fIntegralCerenkov[0] = 0;
768 k = fIntervalNumber -1;
769
770 for( i = fSplineNumber-1; i >= 1; i-- )
771 {
772 if(fSplineEnergy[i] >= fEnergyInterval[k
773 {
774 fIntegralCerenkov[i] = fIntegralCerenk
775 // G4cout<<"int: i = "<<i<<"; sumC = "
776 }
777 else
778 {
779 fIntegralCerenkov[i] = fIntegralCerenk
780 SumOverBord
781 k--;
782 // G4cout<<"bord: i = "<<i<<"; sumC =
783 }
784 }
785
786 } // end of IntegralCerenkov
787
788 //////////////////////////////////////////////
789 //
790 // Calculation of the PAI Plasmon integral cro
791 // fIntegralPlasmon[1] = splasmon primary ioni
792 // and fIntegralPlasmon[0] = mean plasmon loss
793
794 void G4PAIySection::IntegralPlasmon()
795 {
796 fIntegralPlasmon[fSplineNumber] = 0;
797 fIntegralPlasmon[0] = 0;
798 G4int k = fIntervalNumber -1;
799 for(G4int i=fSplineNumber-1;i>=1;i--)
800 {
801 if(fSplineEnergy[i] >= fEnergyInterval[k
802 {
803 fIntegralPlasmon[i] = fIntegralPlasmon
804 }
805 else
806 {
807 fIntegralPlasmon[i] = fIntegralPlasmon
808 SumOverBord
809 k--;
810 }
811 }
812 } // end of IntegralPlasmon
813
814 //////////////////////////////////////////////
815 //
816 // Calculation the PAI integral cross-section
817 // of interval of continuous values of photo-i
818 // cross-section. Parameter 'i' is the number
819
820 G4double G4PAIySection::SumOverInterval( G4int
821 {
822 G4double x0,x1,y0,yy1,a,b,c,result;
823
824 x0 = fSplineEnergy[i];
825 x1 = fSplineEnergy[i+1];
826
827 if( std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6)
828
829 y0 = fDifPAIySection[i];
830 yy1 = fDifPAIySection[i+1];
831 //G4cout << "## x0= " << x0 << " x1= " << x
832 c = x1/x0;
833 //G4cout << "c= " << c << " y0= " << y0 <<
834 a = log10(yy1/y0)/log10(c);
835 //G4cout << "a= " << a << G4endl;
836
837 b = 0.0;
838 if(a < 20.) b = y0/pow(x0,a);
839
840 a += 1;
841 if(a == 0)
842 {
843 result = b*log(x1/x0);
844 }
845 else
846 {
847 result = y0*(x1*pow(c,a-1) - x0)/a;
848 }
849 a++;
850 if(a == 0)
851 {
852 fIntegralPAIySection[0] += b*log(x1/x0);
853 }
854 else
855 {
856 fIntegralPAIySection[0] += y0*(x1*x1*pow
857 }
858 return result;
859
860 } // end of SumOverInterval
861
862 /////////////////////////////////
863
864 G4double G4PAIySection::SumOverIntervaldEdx( G
865 {
866 G4double x0,x1,y0,yy1,a,b,c,result;
867
868 x0 = fSplineEnergy[i];
869 x1 = fSplineEnergy[i+1];
870
871 if( std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6)
872
873 y0 = fDifPAIySection[i];
874 yy1 = fDifPAIySection[i+1];
875 c = x1/x0;
876 a = log10(yy1/y0)/log10(c);
877
878 b = 0.0;
879 if(a < 20.) b = y0/pow(x0,a);
880
881 a += 2;
882 if(a == 0)
883 {
884 result = b*log(x1/x0);
885 }
886 else
887 {
888 result = y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
889 }
890 return result;
891
892 } // end of SumOverInterval
893
894 //////////////////////////////////////////////
895 //
896 // Calculation the PAI Cerenkov integral cross
897 // of interval of continuous values of photo-i
898 // cross-section. Parameter 'i' is the number
899
900 G4double G4PAIySection::SumOverInterCerenkov(
901 {
902 G4double x0,x1,y0,yy1,a,c,result;
903
904 x0 = fSplineEnergy[i];
905 x1 = fSplineEnergy[i+1];
906
907 if( std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6)
908
909 y0 = fdNdxCerenkov[i];
910 yy1 = fdNdxCerenkov[i+1];
911 // G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"
912 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4en
913
914 c = x1/x0;
915 a = log10(yy1/y0)/log10(c);
916 G4double b = 0.0;
917 if(a < 20.) b = y0/pow(x0,a);
918
919 a += 1.0;
920 if(a == 0) result = b*log(c);
921 else result = y0*(x1*pow(c,a-1) - x0)
922 a += 1.0;
923
924 if( a == 0 ) fIntegralCerenkov[0] += b*log(
925 else fIntegralCerenkov[0] += y0*(x1
926 // G4cout<<"a = "<<a<<"; b = "<<b<<"; resu
927 return result;
928
929 } // end of SumOverInterCerenkov
930
931 //////////////////////////////////////////////
932 //
933 // Calculation the PAI Plasmon integral cross-
934 // of interval of continuous values of photo-i
935 // cross-section. Parameter 'i' is the number
936
937 G4double G4PAIySection::SumOverInterPlasmon( G
938 {
939 G4double x0,x1,y0,yy1,a,c,result;
940
941 x0 = fSplineEnergy[i];
942 x1 = fSplineEnergy[i+1];
943
944 if( std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6)
945
946 y0 = fdNdxPlasmon[i];
947 yy1 = fdNdxPlasmon[i+1];
948 c = x1/x0;
949 a = log10(yy1/y0)/log10(c);
950
951 G4double b = 0.0;
952 if(a < 20.) b = y0/pow(x0,a);
953
954 a += 1.0;
955 if(a == 0) result = b*log(x1/x0);
956 else result = y0*(x1*pow(c,a-1) - x0)
957 a += 1.0;
958
959 if( a == 0 ) fIntegralPlasmon[0] += b*log(x
960 else fIntegralPlasmon[0] += y0*(x1*
961
962 return result;
963
964 } // end of SumOverInterPlasmon
965
966 //////////////////////////////////////////////
967 //
968 // Integration of PAI cross-section for the ca
969 // passing across border between intervals
970
971 G4double G4PAIySection::SumOverBorder( G4int
972 G4doubl
973 {
974 G4double x0,x1,y0,yy1,a,d,e0,result;
975
976 e0 = en0;
977 x0 = fSplineEnergy[i];
978 x1 = fSplineEnergy[i+1];
979 y0 = fDifPAIySection[i];
980 yy1 = fDifPAIySection[i+1];
981
982 d = e0/x0;
983 a = log10(yy1/y0)/log10(x1/x0);
984
985 G4double b = 0.0;
986 if(a < 20.) b = y0/pow(x0,a);
987
988 a += 1;
989 if(a == 0)
990 {
991 result = b*log(x0/e0);
992 }
993 else
994 {
995 result = y0*(x0 - e0*pow(d,a-1))/a;
996 }
997 a++;
998 if(a == 0)
999 {
1000 fIntegralPAIySection[0] += b*log(x0/e0)
1001 }
1002 else
1003 {
1004 fIntegralPAIySection[0] += y0*(x0*x0 -
1005 }
1006 x0 = fSplineEnergy[i - 1];
1007 x1 = fSplineEnergy[i - 2];
1008 y0 = fDifPAIySection[i - 1];
1009 yy1 = fDifPAIySection[i - 2];
1010
1011 //c = x1/x0;
1012 d = e0/x0;
1013 a = log10(yy1/y0)/log10(x1/x0);
1014
1015 b = 0.0;
1016 if(a < 20.) b = y0/pow(x0,a);
1017
1018 a += 1;
1019 if(a == 0)
1020 {
1021 result += b*log(e0/x0);
1022 }
1023 else
1024 {
1025 result += y0*(e0*pow(d,a-1) - x0)/a;
1026 }
1027 a++;
1028 if(a == 0)
1029 {
1030 fIntegralPAIySection[0] += b*log(e0/x0)
1031 }
1032 else
1033 {
1034 fIntegralPAIySection[0] += y0*(e0*e0*po
1035 }
1036 return result;
1037
1038 }
1039
1040 /////////////////////////////////////////////
1041
1042 G4double G4PAIySection::SumOverBorderdEdx( G4
1043 G4doub
1044 {
1045 G4double x0,x1,y0,yy1,a,/*c,*/d,e0,result;
1046
1047 e0 = en0;
1048 x0 = fSplineEnergy[i];
1049 x1 = fSplineEnergy[i+1];
1050 y0 = fDifPAIySection[i];
1051 yy1 = fDifPAIySection[i+1];
1052
1053 d = e0/x0;
1054 a = log10(yy1/y0)/log10(x1/x0);
1055
1056 G4double b = 0.0;
1057 if(a < 20.) b = y0/pow(x0,a);
1058
1059 a += 2;
1060 if(a == 0)
1061 {
1062 result = b*log(x0/e0);
1063 }
1064 else
1065 {
1066 result = y0*(x0*x0 - e0*e0*pow(d,a-2))/
1067 }
1068 x0 = fSplineEnergy[i - 1];
1069 x1 = fSplineEnergy[i - 2];
1070 y0 = fDifPAIySection[i - 1];
1071 yy1 = fDifPAIySection[i - 2];
1072
1073 d = e0/x0;
1074 a = log10(yy1/y0)/log10(x1/x0);
1075
1076 b = 0.0;
1077 if(a < 20.) b = y0/pow(x0,a);
1078
1079 a += 2;
1080 if(a == 0)
1081 {
1082 result += b*log(e0/x0);
1083 }
1084 else
1085 {
1086 result += y0*(e0*e0*pow(d,a-2) - x0*x0)
1087 }
1088 return result;
1089 }
1090
1091 /////////////////////////////////////////////
1092 //
1093 // Integration of Cerenkov cross-section for
1094 // passing across border between intervals
1095
1096 G4double G4PAIySection::SumOverBordCerenkov(
1097
1098 {
1099 G4double x0,x1,y0,yy1,a,e0,c,d,result;
1100
1101 e0 = en0;
1102 x0 = fSplineEnergy[i];
1103 x1 = fSplineEnergy[i+1];
1104 y0 = fdNdxCerenkov[i];
1105 yy1 = fdNdxCerenkov[i+1];
1106
1107 // G4cout<<G4endl;
1108 //G4cout<<"SumBordC, i = "<<i<<"; en0 = "<
1109 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G
1110 c = x1/x0;
1111 d = e0/x0;
1112 a = log10(yy1/y0)/log10(c);
1113
1114 G4double b = 0.0;
1115 if(a < 20.) b = y0/pow(x0,a);
1116
1117 a += 1.0;
1118 if( a == 0 ) result = b*log(x0/e0);
1119 else result = y0*(x0 - e0*pow(d,a-
1120 a += 1.0;
1121
1122 if( a == 0 ) fIntegralCerenkov[0] += b*log
1123 else fIntegralCerenkov[0] += y0*(x
1124
1125 //G4cout<<"a = "<<a<<"; b = "<<b<<"; resul
1126
1127 x0 = fSplineEnergy[i - 1];
1128 x1 = fSplineEnergy[i - 2];
1129 y0 = fdNdxCerenkov[i - 1];
1130 yy1 = fdNdxCerenkov[i - 2];
1131
1132 //G4cout<<"x0 ="<<x0<<"; x1 = "<<x1
1133 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4
1134
1135 c = x1/x0;
1136 d = e0/x0;
1137 a = log10(yy1/y0)/log10(x1/x0);
1138
1139 // G4cout << "a= " << a << G4endl;
1140 if(a > 20.0) b = 0.0;
1141 else b = y0/pow(x0,a);
1142
1143 //G4cout << "b= " << b << G4endl;
1144
1145 a += 1.0;
1146 if( a == 0 ) result += b*log(e0/x0);
1147 else result += y0*(e0*pow(d,a-1) -
1148 a += 1.0;
1149 //G4cout << "result= " << result << G4endl
1150
1151 if( a == 0 ) fIntegralCerenkov[0] += b*l
1152 else fIntegralCerenkov[0] += y0*
1153
1154 //G4cout<<"a = "<<a<<"; b = "<<b<<"; resul
1155
1156 return result;
1157 }
1158
1159 /////////////////////////////////////////////
1160 //
1161 // Integration of Plasmon cross-section for t
1162 // passing across border between intervals
1163
1164 G4double G4PAIySection::SumOverBordPlasmon( G
1165
1166 {
1167 G4double x0,x1,y0,yy1,a,c,d,e0,result;
1168
1169 e0 = en0;
1170 x0 = fSplineEnergy[i];
1171 x1 = fSplineEnergy[i+1];
1172 y0 = fdNdxPlasmon[i];
1173 yy1 = fdNdxPlasmon[i+1];
1174
1175 c = x1/x0;
1176 d = e0/x0;
1177 a = log10(yy1/y0)/log10(c);
1178
1179 G4double b = 0.0;
1180 if(a < 20.) b = y0/pow(x0,a);
1181
1182 a += 1.0;
1183 if( a == 0 ) result = b*log(x0/e0);
1184 else result = y0*(x0 - e0*pow(d,a-
1185 a += 1.0;
1186
1187 if( a == 0 ) fIntegralPlasmon[0] += b*log(
1188 else fIntegralPlasmon[0] += y0*(x0
1189
1190 x0 = fSplineEnergy[i - 1];
1191 x1 = fSplineEnergy[i - 2];
1192 y0 = fdNdxPlasmon[i - 1];
1193 yy1 = fdNdxPlasmon[i - 2];
1194
1195 c = x1/x0;
1196 d = e0/x0;
1197 a = log10(yy1/y0)/log10(c);
1198
1199 if(a < 20.) b = y0/pow(x0,a);
1200
1201 a += 1.0;
1202 if( a == 0 ) result += b*log(e0/x0);
1203 else result += y0*(e0*pow(d,a-1) -
1204 a += 1.0;
1205
1206 if( a == 0 ) fIntegralPlasmon[0] += b*lo
1207 else fIntegralPlasmon[0] += y0*(
1208
1209 return result;
1210
1211 }
1212
1213 /////////////////////////////////////////////
1214 //
1215 //
1216
1217 G4double G4PAIySection::GetStepEnergyLoss( G4
1218 {
1219 G4int iTransfer ;
1220 G4long numOfCollisions;
1221 G4double loss = 0.0;
1222 G4double meanNumber, position;
1223
1224 // G4cout<<" G4PAIySection::GetStepEnergyLo
1225
1226
1227
1228 meanNumber = fIntegralPAIySection[1]*step;
1229 numOfCollisions = G4Poisson(meanNumber);
1230
1231 // G4cout<<"numOfCollisions = "<<numOfCol
1232
1233 while(numOfCollisions)
1234 {
1235 position = fIntegralPAIySection[1]*G4Unif
1236
1237 for( iTransfer=1; iTransfer<=fSplineNumbe
1238 {
1239 if( position >= fIntegralPAIySection[
1240 }
1241 loss += fSplineEnergy[iTransfer] ;
1242 numOfCollisions--;
1243 // Loop checking, 03-Aug-2015, Vladimir I
1244 }
1245 // G4cout<<"PAI energy loss = "<<loss/keV<<
1246
1247 return loss;
1248 }
1249
1250 /////////////////////////////////////////////
1251 //
1252 //
1253
1254 G4double G4PAIySection::GetStepCerenkovLoss(
1255 {
1256 G4int iTransfer ;
1257 G4long numOfCollisions;
1258 G4double loss = 0.0;
1259 G4double meanNumber, position;
1260
1261 // G4cout<<" G4PAIySection::GetStepCreLosnk
1262
1263
1264
1265 meanNumber = fIntegralCerenkov[1]*step;
1266 numOfCollisions = G4Poisson(meanNumber);
1267
1268 // G4cout<<"numOfCollisions = "<<numOfCol
1269
1270 while(numOfCollisions)
1271 {
1272 position = fIntegralCerenkov[1]*G4Uniform
1273
1274 for( iTransfer=1; iTransfer<=fSplineNumbe
1275 {
1276 if( position >= fIntegralCerenkov[iTr
1277 }
1278 loss += fSplineEnergy[iTransfer] ;
1279 numOfCollisions--;
1280 // Loop checking, 03-Aug-2015, Vladimir I
1281 }
1282 // G4cout<<"PAI Cerenkov loss = "<<loss/keV
1283
1284 return loss;
1285 }
1286
1287 /////////////////////////////////////////////
1288 //
1289 //
1290
1291 G4double G4PAIySection::GetStepPlasmonLoss( G
1292 {
1293 G4int iTransfer ;
1294 G4long numOfCollisions;
1295 G4double loss = 0.0;
1296 G4double meanNumber, position;
1297
1298 // G4cout<<" G4PAIySection::GetStepCreLosnk
1299
1300
1301
1302 meanNumber = fIntegralPlasmon[1]*step;
1303 numOfCollisions = G4Poisson(meanNumber);
1304
1305 // G4cout<<"numOfCollisions = "<<numOfCol
1306
1307 while(numOfCollisions)
1308 {
1309 position = fIntegralPlasmon[1]*G4UniformR
1310
1311 for( iTransfer=1; iTransfer<=fSplineNumbe
1312 {
1313 if( position >= fIntegralPlasmon[iTra
1314 }
1315 loss += fSplineEnergy[iTransfer] ;
1316 numOfCollisions--;
1317 // Loop checking, 03-Aug-2015, Vladimir I
1318 }
1319 // G4cout<<"PAI Plasmon loss = "<<loss/keV<
1320
1321 return loss;
1322 }
1323
1324 /////////////////////////////////////////////
1325 //
1326
1327 void G4PAIySection::CallError(G4int i, const
1328 {
1329 G4String head = "G4PAIySection::" + methodN
1330 G4ExceptionDescription ed;
1331 ed << "Wrong index " << i << " fSplineNumbe
1332 G4Exception(head,"pai001",FatalException,ed
1333 }
1334
1335 /////////////////////////////////////////////
1336 //
1337 // Init array of Lorentz factors
1338 //
1339
1340 G4int G4PAIySection::fNumberOfGammas = 111;
1341
1342 const G4double G4PAIySection::fLorentzFactor[
1343 {
1344 0.0,
1345 1.094989e+00, 1.107813e+00, 1.122369e+00, 1.1
1346 1.178925e+00, 1.203082e+00, 1.230500e+00, 1.2
1347 1.337032e+00, 1.382535e+00, 1.434181e+00, 1.4
1348 1.634850e+00, 1.720562e+00, 1.817845e+00, 1.9
1349 2.195835e+00, 2.357285e+00, 2.540533e+00, 2.7
1350 3.252533e+00, 3.556649e+00, 3.901824e+00, 4.2
1351 5.242981e+00, 5.815829e+00, 6.466019e+00, 7.2
1352 8.992288e+00, 1.007133e+01, 1.129606e+01, 1.2
1353 1.605467e+01, 1.808721e+01, 2.039417e+01, 2.3
1354 2.935771e+01, 3.318630e+01, 3.753180e+01, 4.2
1355 5.441597e+01, 6.162770e+01, 6.981310e+01, 7.9
1356 1.016169e+02, 1.152013e+02, 1.306197e+02, 1.4
1357 1.905270e+02, 2.161152e+02, 2.451581e+02, 2.7
1358 3.580024e+02, 4.062016e+02, 4.609081e+02, 5.2
1359 6.734672e+02, 7.642575e+02, 8.673056e+02, 9.8
1360 1.267692e+03, 1.438709e+03, 1.632816e+03, 1.8
1361 2.387004e+03, 2.709140e+03, 3.074768e+03, 3.4
1362 4.495394e+03, 5.102185e+03, 5.790900e+03, 6.5
1363 8.466860e+03, 9.609843e+03, 1.090714e+04, 1.2
1364 1.594771e+04, 1.810069e+04, 2.054434e+04, 2.3
1365 3.003901e+04, 3.409446e+04, 3.869745e+04, 4.3
1366 5.658206e+04, 6.422112e+04, 7.289153e+04, 8.2
1367 1.065799e+05
1368 };
1369
1370 /////////////////////////////////////////////
1371 //
1372 // The number of gamma for creation of splin
1373 //
1374
1375 const G4int G4PAIySection::fRefGammaNumber =
1376
1377 //
1378 // end of G4PAIySection implementation file
1379 //
1380 /////////////////////////////////////////////
1381
1382