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1 // 2 // ******************************************************************** 3 // * License and Disclaimer * 4 // * * 5 // * The Geant4 software is copyright of the Copyright Holders of * 6 // * the Geant4 Collaboration. It is provided under the terms and * 7 // * conditions of the Geant4 Software License, included in the file * 8 // * LICENSE and available at http://cern.ch/geant4/license . These * 9 // * include a list of copyright holders. * 10 // * * 11 // * Neither the authors of this software system, nor their employing * 12 // * institutes,nor the agencies providing financial support for this * 13 // * work make any representation or warranty, express or implied, * 14 // * regarding this software system or assume any liability for its * 15 // * use. Please see the license in the file LICENSE and URL above * 16 // * for the full disclaimer and the limitation of liability. * 17 // * * 18 // * This code implementation is the result of the scientific and * 19 // * technical work of the GEANT4 collaboration. * 20 // * By using, copying, modifying or distributing the software (or * 21 // * any work based on the software) you agree to acknowledge its * 22 // * use in resulting scientific publications, and indicate your * 23 // * acceptance of all terms of the Geant4 Software license. * 24 // ******************************************************************** 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: Vladimir.Grichine@cern.ch 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 58 using namespace std; 59 60 /* ****************************************************************** 61 62 // Init array of Lorentz factors 63 64 const 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 72 const G4int G4PAIxSection:: 73 fRefGammaNumber = 29; // The number of gamma for creation of 74 // spline (9) 75 76 ***************************************************************** */ 77 78 // Local class constants 79 80 const G4double G4PAIxSection::fDelta = 0.005; // 0.005 energy shift from interval border 81 const G4double G4PAIxSection::fError = 0.005; // 0.005 error in lin-log approximation 82 83 const G4int G4PAIxSection::fMaxSplineSize = 1000; // Max size of output spline 84 // arrays 85 ////////////////////////////////////////////////////////////////// 86 // 87 // Constructor 88 // 89 90 G4PAIxSection::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 // 126 127 G4PAIxSection::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 //////////////////////////////////////////////////////////////// 159 160 G4PAIxSection::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 !!! 271 272 G4PAIxSection::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 432 433 G4PAIxSection::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 583 584 G4PAIxSection::~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 } 596 597 G4double 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 605 606 void 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 // 745 746 void 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 // 778 779 void 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 // 812 813 void 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 // 872 873 void 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' 949 950 void 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 1055 G4double 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 1076 G4double 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 1096 G4double 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 1125 G4double 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 1167 G4double 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 1221 G4double 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 1282 G4double 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 1340 G4double 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 1390 G4double 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 1427 G4double 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 1466 void 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 1498 void 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 1529 void 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 1560 void 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 1587 void 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 1614 G4double 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 1662 G4double 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 1698 G4double 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 1736 G4double 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 1775 G4double 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 1810 G4double 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 1844 G4double 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 1917 G4double 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 1972 G4double 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 2032 G4double 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 2096 G4double 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 2150 G4double 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 2204 G4double 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 2231 G4double 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 2258 G4double 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 2285 G4double 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 2312 G4double 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 2339 G4double 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 2366 G4double 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 2393 G4double 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 2420 G4double 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 2448 G4double 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 2476 G4double 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 2502 void 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 2515 G4int G4PAIxSection::fNumberOfGammas = 111; 2516 2517 const G4double G4PAIxSection::fLorentzFactor[112] = // fNumberOfGammas+1 2518 { 2519 0.0, 2520 1.094989e+00, 1.107813e+00, 1.122369e+00, 1.138890e+00, 1.157642e+00, 2521 1.178925e+00, 1.203082e+00, 1.230500e+00, 1.261620e+00, 1.296942e+00, // 10 2522 1.337032e+00, 1.382535e+00, 1.434181e+00, 1.492800e+00, 1.559334e+00, 2523 1.634850e+00, 1.720562e+00, 1.817845e+00, 1.928263e+00, 2.053589e+00, // 20 2524 2.195835e+00, 2.357285e+00, 2.540533e+00, 2.748522e+00, 2.984591e+00, 2525 3.252533e+00, 3.556649e+00, 3.901824e+00, 4.293602e+00, 4.738274e+00, // 30 2526 5.242981e+00, 5.815829e+00, 6.466019e+00, 7.203990e+00, 8.041596e+00, 2527 8.992288e+00, 1.007133e+01, 1.129606e+01, 1.268614e+01, 1.426390e+01, // 40 2528 1.605467e+01, 1.808721e+01, 2.039417e+01, 2.301259e+01, 2.598453e+01, 2529 2.935771e+01, 3.318630e+01, 3.753180e+01, 4.246399e+01, 4.806208e+01, // 50 2530 5.441597e+01, 6.162770e+01, 6.981310e+01, 7.910361e+01, 8.964844e+01, 2531 1.016169e+02, 1.152013e+02, 1.306197e+02, 1.481198e+02, 1.679826e+02, // 60 2532 1.905270e+02, 2.161152e+02, 2.451581e+02, 2.781221e+02, 3.155365e+02, 2533 3.580024e+02, 4.062016e+02, 4.609081e+02, 5.230007e+02, 5.934765e+02, // 70 2534 6.734672e+02, 7.642575e+02, 8.673056e+02, 9.842662e+02, 1.117018e+03, 2535 1.267692e+03, 1.438709e+03, 1.632816e+03, 1.853128e+03, 2.103186e+03, // 80 2536 2.387004e+03, 2.709140e+03, 3.074768e+03, 3.489760e+03, 3.960780e+03, 2537 4.495394e+03, 5.102185e+03, 5.790900e+03, 6.572600e+03, 7.459837e+03, // 90 2538 8.466860e+03, 9.609843e+03, 1.090714e+04, 1.237959e+04, 1.405083e+04, 2539 1.594771e+04, 1.810069e+04, 2.054434e+04, 2.331792e+04, 2.646595e+04, // 100 2540 3.003901e+04, 3.409446e+04, 3.869745e+04, 4.392189e+04, 4.985168e+04, 2541 5.658206e+04, 6.422112e+04, 7.289153e+04, 8.273254e+04, 9.390219e+04, // 110 2542 1.065799e+05 2543 }; 2544 2545 /////////////////////////////////////////////////////////////////////// 2546 // 2547 // The number of gamma for creation of spline (near ion-min , G ~ 4 ) 2548 // 2549 2550 const 2551 G4int G4PAIxSection::fRefGammaNumber = 29; 2552 2553 2554 // 2555 // end of G4PAIxSection implementation file 2556 // 2557 //////////////////////////////////////////////////////////////////////////// 2558 2559