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25 // 25 //
>> 26 // $Id: G4PAIySection.cc,v 1.8 2010-11-23 15:31:10 grichine Exp $
>> 27 // GEANT4 tag $Name: geant4-09-04-patch-02 $
26 // 28 //
27 // 29 //
28 // G4PAIySection.cc -- class implementation fi 30 // G4PAIySection.cc -- class implementation file
29 // 31 //
30 // GEANT 4 class implementation file 32 // GEANT 4 class implementation file
31 // 33 //
32 // For information related to this code, pleas 34 // For information related to this code, please, contact
33 // the Geant4 Collaboration. 35 // the Geant4 Collaboration.
34 // 36 //
35 // R&D: Vladimir.Grichine@cern.ch 37 // R&D: Vladimir.Grichine@cern.ch
36 // 38 //
37 // History: 39 // History:
38 // 40 //
39 // 01.10.07, V.Ivanchenko create using V.Grich 41 // 01.10.07, V.Ivanchenko create using V.Grichine G4PAIxSection class
40 // 26.07.09, V.Ivanchenko added protection for 42 // 26.07.09, V.Ivanchenko added protection for mumerical exceptions for
41 // low-density materials 43 // low-density materials
42 // 21.11.10 V. Grichine bug fixed in Initialis 44 // 21.11.10 V. Grichine bug fixed in Initialise for reading sandia table from
43 // material. Warning: the table is 45 // material. Warning: the table is tuned for photo-effect not PAI model.
44 // 23.06.13 V.Grichine arrays->G4DataVectors <<
45 // 46 //
46 47
47 #include "G4PAIySection.hh" 48 #include "G4PAIySection.hh"
48 49
49 #include "globals.hh" 50 #include "globals.hh"
50 #include "G4PhysicalConstants.hh" <<
51 #include "G4SystemOfUnits.hh" <<
52 #include "G4ios.hh" 51 #include "G4ios.hh"
53 #include "G4Poisson.hh" 52 #include "G4Poisson.hh"
54 #include "G4Material.hh" 53 #include "G4Material.hh"
55 #include "G4MaterialCutsCouple.hh" 54 #include "G4MaterialCutsCouple.hh"
56 #include "G4SandiaTable.hh" 55 #include "G4SandiaTable.hh"
57 #include "G4Exp.hh" <<
58 #include "G4Log.hh" <<
59 56
60 using namespace std; 57 using namespace std;
61 58
62 // Local class constants 59 // Local class constants
63 60
64 const G4double G4PAIySection::fDelta = 0.005; 61 const G4double G4PAIySection::fDelta = 0.005; // energy shift from interval border
65 const G4double G4PAIySection::fError = 0.005; 62 const G4double G4PAIySection::fError = 0.005; // error in lin-log approximation
66 63
67 const G4int G4PAIySection::fMaxSplineSize = 50 64 const G4int G4PAIySection::fMaxSplineSize = 500; // Max size of output spline
68 << 65 // arrays
69 66
70 ////////////////////////////////////////////// 67 //////////////////////////////////////////////////////////////////
71 // 68 //
72 // Constructor 69 // Constructor
73 // 70 //
74 71
75 G4PAIySection::G4PAIySection() 72 G4PAIySection::G4PAIySection()
76 { 73 {
77 fSandia = nullptr; << 74 fSandia = 0;
78 fDensity = fElectronDensity = fNormalization << 75 fDensity = fElectronDensity = fNormalizationCof = 0.0;
79 fIntervalNumber = fSplineNumber = 0; 76 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 } 77 }
104 78
105 ////////////////////////////////////////////// 79 ////////////////////////////////////////////////////////////////////////////
106 // 80 //
107 // << 81 // Destructor
108 82
109 G4double G4PAIySection::GetLorentzFactor(G4int << 83 G4PAIySection::~G4PAIySection()
110 { << 84 {}
111 return fLorentzFactor[j]; <<
112 } <<
113 85
114 ////////////////////////////////////////////// 86 ////////////////////////////////////////////////////////////////////////
115 // 87 //
116 // Constructor with beta*gamma square value ca << 88 // Test Constructor with beta*gamma square value
117 89
118 void G4PAIySection::Initialize( const G4Materi 90 void G4PAIySection::Initialize( const G4Material* material,
119 G4double maxEn << 91 G4double maxEnergyTransfer,
120 G4double betaG << 92 G4double betaGammaSq)
121 G4SandiaTable* <<
122 { 93 {
123 if(fVerbose > 0) << 94 G4int i, j, numberOfElements;
124 { << 95 G4double energy;
125 G4cout<<G4endl; << 96 // fVerbose = 1;
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(); 97 fDensity = material->GetDensity();
134 fElectronDensity = material->GetElectronDens 98 fElectronDensity = material->GetElectronDensity();
>> 99 numberOfElements = material->GetNumberOfElements();
135 100
136 // fIntervalNumber--; << 101 fSandia = material->GetSandiaTable();
137 102
138 if( fVerbose > 0 ) << 103 fIntervalNumber = fSandia->GetMaxInterval();
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 <<
148 104
149 for( i = 1; i <= fIntervalNumber; ++i ) << 105 fIntervalNumber--;
>> 106
>> 107 for( i = 1; i <= fIntervalNumber; i++ )
150 { 108 {
151 if ( sandia->GetSandiaMatTablePAI(i-1,0) < << 109 energy = fSandia->GetSandiaMatTablePAI(i-1,0); //vmg 20.11.10
152 { << 110
153 fIntervalNumber--; << 111 if( energy >= maxEnergyTransfer || i > fIntervalNumber )
154 continue; <<
155 } <<
156 if( ( sandia->GetSandiaMatTablePAI(i-1,0) <<
157 || i >= fIntervalNumber ) <<
158 { 112 {
159 fEnergyInterval[i] = maxEnergyTransfer; 113 fEnergyInterval[i] = maxEnergyTransfer;
160 fIntervalNumber = i; 114 fIntervalNumber = i;
161 break; 115 break;
162 } 116 }
163 fEnergyInterval[i] = sandia->GetSandiaMatT << 117 fEnergyInterval[i] = energy;
164 fA1[i] = sandia->GetSandiaMatT << 118 fA1[i] = fSandia->GetSandiaMatTablePAI(i-1,1);
165 fA2[i] = sandia->GetSandiaMatT << 119 fA2[i] = fSandia->GetSandiaMatTablePAI(i-1,2);
166 fA3[i] = sandia->GetSandiaMatT << 120 fA3[i] = fSandia->GetSandiaMatTablePAI(i-1,3);
167 fA4[i] = sandia->GetSandiaMatT << 121 fA4[i] = fSandia->GetSandiaMatTablePAI(i-1,4);
168 << 122
169 if( fVerbose > 0 ) { << 123 if( fVerbose > 0 && std::fabs( betaGammaSq - 8. ) < 0.4 )
170 G4cout<<i<<"\t"<<fEnergyInterval[i]/keV< << 124 {
171 <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4en << 125 G4cout<<i<<"\t"<<fEnergyInterval[i]/keV<<" keV \t"<<fA1[i]<<"\t"<<fA2[i] <<"\t"<<fA3[i] <<"\t"<<fA4[i]<<G4endl;
172 } 126 }
173 } << 127 }
174 if( fVerbose > 0 ) { << 128
175 G4cout<<"last i = "<<i<<"; "<<"fIntervalNu << 129
176 <<fIntervalNumber<<G4endl; <<
177 } <<
178 if( fEnergyInterval[fIntervalNumber] != maxE 130 if( fEnergyInterval[fIntervalNumber] != maxEnergyTransfer )
179 { 131 {
180 fIntervalNumber++; << 132 fIntervalNumber++;
181 fEnergyInterval[fIntervalNumber] = maxEn << 133 fEnergyInterval[fIntervalNumber] = maxEnergyTransfer;
>> 134 fA1[fIntervalNumber] = fA1[fIntervalNumber-1];
>> 135 fA2[fIntervalNumber] = fA2[fIntervalNumber-1];
>> 136 fA3[fIntervalNumber] = fA3[fIntervalNumber-1];
>> 137 fA4[fIntervalNumber] = fA4[fIntervalNumber-1];
182 } 138 }
183 if( fVerbose > 0 ) << 139
184 { << 140 // Now checking, if two borders are too close together
185 for( i = 1; i <= fIntervalNumber; ++i ) << 141 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 { 142 {
196 if( fEnergyInterval[i+1]-fEnergyInterval[i << 143 // G4cout<<fEnergyInterval[i]<<"\t"<<fA1[i]<<"\t"<<fA2[i]<<"\t"
197 1.5*fDelta*(fEnergyInterval[i+1]+fEne << 144 // <<fA3[i]<<"\t"<<fA4[i]<<G4endl;
198 else << 145 if(fEnergyInterval[i+1]-fEnergyInterval[i] <
>> 146 1.5*fDelta*(fEnergyInterval[i+1]+fEnergyInterval[i]))
199 { 147 {
200 for( j = i; j < fIntervalNumber; j++ ) 148 for( j = i; j < fIntervalNumber; j++ )
201 { 149 {
202 fEnergyInterval[j] = fEnergyInte << 150 fEnergyInterval[j] = fEnergyInterval[j+1];
203 fA1[j] = fA1[j+1]; << 151 fA1[j] = fA1[j+1];
204 fA2[j] = fA2[j+1]; << 152 fA2[j] = fA2[j+1];
205 fA3[j] = fA3[j+1]; << 153 fA3[j] = fA3[j+1];
206 fA4[j] = fA4[j+1]; << 154 fA4[j] = fA4[j+1];
207 } 155 }
208 fIntervalNumber--; 156 fIntervalNumber--;
>> 157 i--;
209 } 158 }
210 } 159 }
211 if( fVerbose > 0 ) << 160 if( fVerbose > 0 && std::fabs( betaGammaSq - 8. ) < 0.4 )
212 { 161 {
213 for( i = 1; i <= fIntervalNumber; ++i ) << 162 G4cout<<"Sandia cofs in G4PAIySection::Initialize(), mat = "<<material->GetName()<<G4endl;
214 { << 163 G4cout<<"for bg2 = "<<betaGammaSq<<", Tmax = "<< maxEnergyTransfer/keV<<" keV"<<G4endl;
215 G4cout<<i<<"\t"<<fEnergyInterval[i]/keV< << 164 G4cout<<"energy \t"<<"a1 \t"<<"a2 \t"<<"a3 \t"<<"a4 \t"<<G4endl;
216 <<fA3[i]<<"\t"<<fA4[i]<<"\t"<<G4endl; << 165
217 } << 166 for( j = 1; j < fIntervalNumber; j++ )
>> 167 {
>> 168 G4cout<<j<<"\t"<<fEnergyInterval[j]/keV<<" keV \t"<<fA1[j]<<"\t"<<fA2[j] <<"\t"<<fA3[j] <<"\t"<<fA4[j]<<G4endl;
>> 169 }
218 } 170 }
219 // Preparation of fSplineEnergy array corres <<
220 171
221 ComputeLowEnergyCof(material); << 172 // Preparation of fSplineEnergy array corresponding to min ionisation, G~4
222 << 173
223 G4double betaGammaSqRef = 174 G4double betaGammaSqRef =
224 fLorentzFactor[fRefGammaNumber]*fLorentzFa << 175 fLorentzFactor[fRefGammaNumber]*fLorentzFactor[fRefGammaNumber] - 1;
225 176
226 NormShift(betaGammaSqRef); 177 NormShift(betaGammaSqRef);
227 SplainPAI(betaGammaSqRef); 178 SplainPAI(betaGammaSqRef);
228 179
229 // Preparation of integral PAI cross section << 180 // Preparation of integral PAI cross section for input betaGammaSq
230 181
231 for( i = 1; i <= fSplineNumber; ++i ) << 182 for( i = 1; i <= fSplineNumber; i++ )
232 { 183 {
233 fDifPAIySection[i] = DifPAIySection(i,bet << 184 fDifPAIySection[i] = DifPAIySection(i,betaGammaSq);
234 << 185 fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
235 if( fVerbose > 0 ) G4cout<<i<<"; dNdxPAI << 186 fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
236 } 187 }
237 IntegralPAIySection(); << 188 IntegralPAIySection();
238 } << 189 IntegralCerenkov();
239 << 190 IntegralPlasmon();
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 } 191 }
272 192
273 ////////////////////////////////////////////// 193 /////////////////////////////////////////////////////////////////////////
274 // 194 //
275 // General control function for class G4PAIySe 195 // General control function for class G4PAIySection
276 // 196 //
277 197
278 void G4PAIySection::InitPAI() 198 void G4PAIySection::InitPAI()
279 { 199 {
280 G4int i; 200 G4int i;
281 G4double betaGammaSq = fLorentzFactor[fRefG 201 G4double betaGammaSq = fLorentzFactor[fRefGammaNumber]*
282 fLorentzFactor[fRefG 202 fLorentzFactor[fRefGammaNumber] - 1;
283 203
284 // Preparation of integral PAI cross sectio 204 // Preparation of integral PAI cross section for reference gamma
285 205
286 NormShift(betaGammaSq); 206 NormShift(betaGammaSq);
287 SplainPAI(betaGammaSq); 207 SplainPAI(betaGammaSq);
288 208
289 IntegralPAIySection(); 209 IntegralPAIySection();
290 IntegralCerenkov(); 210 IntegralCerenkov();
291 IntegralPlasmon(); 211 IntegralPlasmon();
292 212
293 for( i = 0; i<= fSplineNumber; ++i) << 213 for(i = 0; i<=fSplineNumber; i++)
294 { 214 {
295 fPAItable[i][fRefGammaNumber] = fIntegral << 215 fPAItable[i][fRefGammaNumber] = fIntegralPAIySection[i];
296 << 216 if(i != 0)
297 if(i != 0) fPAItable[i][0] = fSplineEner << 217 {
>> 218 fPAItable[i][0] = fSplineEnergy[i];
>> 219 }
298 } 220 }
299 fPAItable[0][0] = fSplineNumber; 221 fPAItable[0][0] = fSplineNumber;
300 222
301 for( G4int j = 1; j < 112; ++j) // fo << 223 for(G4int j = 1; j < 112; j++) // for other gammas
302 { 224 {
303 if( j == fRefGammaNumber ) continue; 225 if( j == fRefGammaNumber ) continue;
304 226
305 betaGammaSq = fLorentzFactor[j]*fLorentz 227 betaGammaSq = fLorentzFactor[j]*fLorentzFactor[j] - 1;
306 228
307 for(i = 1; i <= fSplineNumber; ++i) << 229 for(i = 1; i <= fSplineNumber; i++)
308 { 230 {
309 fDifPAIySection[i] = DifPAIySection(i 231 fDifPAIySection[i] = DifPAIySection(i,betaGammaSq);
310 fdNdxCerenkov[i] = PAIdNdxCerenkov( 232 fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
311 fdNdxPlasmon[i] = PAIdNdxPlasmon(i 233 fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
312 } 234 }
313 IntegralPAIySection(); 235 IntegralPAIySection();
314 IntegralCerenkov(); 236 IntegralCerenkov();
315 IntegralPlasmon(); 237 IntegralPlasmon();
316 238
317 for(i = 0; i <= fSplineNumber; ++i) << 239 for(i = 0; i <= fSplineNumber; i++)
318 { 240 {
319 fPAItable[i][j] = fIntegralPAIySection << 241 fPAItable[i][j] = fIntegralPAIySection[i];
320 } 242 }
321 } 243 }
>> 244
322 } 245 }
323 246
324 ////////////////////////////////////////////// 247 ///////////////////////////////////////////////////////////////////////
325 // 248 //
326 // Shifting from borders to intervals Creation 249 // Shifting from borders to intervals Creation of first energy points
327 // 250 //
328 251
329 void G4PAIySection::NormShift(G4double betaGam 252 void G4PAIySection::NormShift(G4double betaGammaSq)
330 { 253 {
331 G4int i, j; 254 G4int i, j;
332 255
333 for( i = 1; i <= fIntervalNumber-1; ++i) << 256 for( i = 1; i <= fIntervalNumber-1; i++ )
334 { 257 {
335 for( j = 1; j <= 2; ++j) << 258 for( j = 1; j <= 2; j++ )
336 { 259 {
337 fSplineNumber = (i-1)*2 + j; 260 fSplineNumber = (i-1)*2 + j;
338 261
339 if( j == 1 ) fSplineEnergy[fSplineNumber 262 if( j == 1 ) fSplineEnergy[fSplineNumber] = fEnergyInterval[i ]*(1+fDelta);
340 else fSplineEnergy[fSplineNumber 263 else fSplineEnergy[fSplineNumber] = fEnergyInterval[i+1]*(1-fDelta);
341 // G4cout<<"cn = "<<fSplineNumber<<"; 264 // G4cout<<"cn = "<<fSplineNumber<<"; "<<"energy = "
342 // <<fSplineEnergy[fSplineNumber]<<G4en 265 // <<fSplineEnergy[fSplineNumber]<<G4endl;
343 } 266 }
344 } 267 }
345 fIntegralTerm[1]=RutherfordIntegral(1,fEnerg 268 fIntegralTerm[1]=RutherfordIntegral(1,fEnergyInterval[1],fSplineEnergy[1]);
346 269
347 j = 1; 270 j = 1;
348 271
349 for(i=2;i<=fSplineNumber;++i) << 272 for(i=2;i<=fSplineNumber;i++)
350 { 273 {
351 if(fSplineEnergy[i]<fEnergyInterval[j+1]) 274 if(fSplineEnergy[i]<fEnergyInterval[j+1])
352 { 275 {
353 fIntegralTerm[i] = fIntegralTerm[i-1] 276 fIntegralTerm[i] = fIntegralTerm[i-1] +
354 RutherfordIntegral << 277 RutherfordIntegral(j,fSplineEnergy[i-1],
355 278 fSplineEnergy[i] );
356 } 279 }
357 else 280 else
358 { 281 {
359 G4double x = RutherfordIntegral(j,fSpli 282 G4double x = RutherfordIntegral(j,fSplineEnergy[i-1],
360 fEn 283 fEnergyInterval[j+1] );
361 j++; 284 j++;
362 fIntegralTerm[i] = fIntegralTerm[i-1] 285 fIntegralTerm[i] = fIntegralTerm[i-1] + x +
363 RutherfordIntegral << 286 RutherfordIntegral(j,fEnergyInterval[j],
364 287 fSplineEnergy[i] );
365 } 288 }
366 // G4cout<<i<<"\t"<<fSplineEnergy[i]<<"\t" 289 // G4cout<<i<<"\t"<<fSplineEnergy[i]<<"\t"<<fIntegralTerm[i]<<"\n"<<G4endl;
367 } 290 }
368 static const G4double nfactor = << 291 fNormalizationCof = 2*pi*pi*hbarc*hbarc*fine_structure_const/electron_mass_c2;
369 2*pi*pi*hbarc*hbarc*fine_structure_const/e << 292 fNormalizationCof *= fElectronDensity/fIntegralTerm[fSplineNumber];
370 fNormalizationCof = nfactor*fElectronDensity <<
371 293
372 // G4cout<<"fNormalizationCof = "<<fNormaliz 294 // G4cout<<"fNormalizationCof = "<<fNormalizationCof<<G4endl;
373 295
374 // Calculation of PAI differrential cross-se << 296 // Calculation of PAI differrential cross-section (1/(keV*cm))
375 // in the energy points near borders of ener << 297 // in the energy points near borders of energy intervals
376 298
377 for(G4int k=1; k<=fIntervalNumber-1; ++k) << 299 for(G4int k=1;k<=fIntervalNumber-1;k++)
378 { 300 {
379 for(j=1; j<=2; ++j) << 301 for(j=1;j<=2;j++)
380 { 302 {
381 i = (k-1)*2 + j; 303 i = (k-1)*2 + j;
382 fImPartDielectricConst[i] = fNormaliz 304 fImPartDielectricConst[i] = fNormalizationCof*
383 ImPartDie << 305 ImPartDielectricConst(k,fSplineEnergy[i]);
384 fRePartDielectricConst[i] = fNormaliz 306 fRePartDielectricConst[i] = fNormalizationCof*
385 RePartDie << 307 RePartDielectricConst(fSplineEnergy[i]);
386 fIntegralTerm[i] *= fNormalizationCof 308 fIntegralTerm[i] *= fNormalizationCof;
387 309
388 fDifPAIySection[i] = DifPAIySection(i 310 fDifPAIySection[i] = DifPAIySection(i,betaGammaSq);
389 fdNdxCerenkov[i] = PAIdNdxCerenkov( 311 fdNdxCerenkov[i] = PAIdNdxCerenkov(i,betaGammaSq);
390 fdNdxPlasmon[i] = PAIdNdxPlasmon(i 312 fdNdxPlasmon[i] = PAIdNdxPlasmon(i,betaGammaSq);
391 } 313 }
392 } 314 }
393 315
394 } // end of NormShift 316 } // end of NormShift
395 317
396 ////////////////////////////////////////////// 318 /////////////////////////////////////////////////////////////////////////
397 // 319 //
398 // Creation of new energy points as geometrica 320 // Creation of new energy points as geometrical mean of existing
399 // one, calculation PAI_cs for them, while the 321 // one, calculation PAI_cs for them, while the error of logarithmic
400 // linear approximation would be smaller than 322 // linear approximation would be smaller than 'fError'
401 323
402 void G4PAIySection::SplainPAI(G4double betaGam 324 void G4PAIySection::SplainPAI(G4double betaGammaSq)
403 { 325 {
404 G4int k = 1; 326 G4int k = 1;
405 G4int i = 1; 327 G4int i = 1;
406 328
407 while ( (i < fSplineNumber) && (fSplineNumb 329 while ( (i < fSplineNumber) && (fSplineNumber < fMaxSplineSize-1) )
408 { 330 {
409 if(fSplineEnergy[i+1] > fEnergyInterval[ 331 if(fSplineEnergy[i+1] > fEnergyInterval[k+1])
410 { 332 {
411 k++; // Here next energy point is 333 k++; // Here next energy point is in next energy interval
412 ++i; << 334 i++;
413 continue; 335 continue;
414 } 336 }
415 // Shifting of arrayes for inserting the << 337 // Shifting of arrayes for inserting the geometrical
416 // average of 'i' and 'i+1' energy point << 338 // average of 'i' and 'i+1' energy points to 'i+1' place
417 fSplineNumber++; 339 fSplineNumber++;
418 340
419 for(G4int j = fSplineNumber; j >= i+2; j 341 for(G4int j = fSplineNumber; j >= i+2; j-- )
420 { 342 {
421 fSplineEnergy[j] = fSplineEn 343 fSplineEnergy[j] = fSplineEnergy[j-1];
422 fImPartDielectricConst[j] = fImPartDi 344 fImPartDielectricConst[j] = fImPartDielectricConst[j-1];
423 fRePartDielectricConst[j] = fRePartDi << 345 fRePartDielectricConst[j] = fRePartDielectricConst[j-1];
424 fIntegralTerm[j] = fIntegral << 346 fIntegralTerm[j] = fIntegralTerm[j-1];
425 347
426 fDifPAIySection[j] = fDifPAIySection[ << 348 fDifPAIySection[j] = fDifPAIySection[j-1];
427 fdNdxCerenkov[j] = fdNdxCerenkov[j- 349 fdNdxCerenkov[j] = fdNdxCerenkov[j-1];
428 fdNdxPlasmon[j] = fdNdxPlasmon[j-1 350 fdNdxPlasmon[j] = fdNdxPlasmon[j-1];
429 } 351 }
430 G4double x1 = fSplineEnergy[i]; 352 G4double x1 = fSplineEnergy[i];
431 G4double x2 = fSplineEnergy[i+1]; 353 G4double x2 = fSplineEnergy[i+1];
432 G4double yy1 = fDifPAIySection[i]; 354 G4double yy1 = fDifPAIySection[i];
433 G4double y2 = fDifPAIySection[i+1]; 355 G4double y2 = fDifPAIySection[i+1];
434 356
435 G4double en1 = sqrt(x1*x2); 357 G4double en1 = sqrt(x1*x2);
436 fSplineEnergy[i+1] = en1; 358 fSplineEnergy[i+1] = en1;
437 359
438 // Calculation of logarithmic linear app << 360 // Calculation of logarithmic linear approximation
439 // in this (enr) energy point, which num << 361 // in this (enr) energy point, which number is 'i+1' now
440 362
441 G4double a = log10(y2/yy1)/log10(x2/x1); 363 G4double a = log10(y2/yy1)/log10(x2/x1);
442 G4double b = log10(yy1) - a*log10(x1); 364 G4double b = log10(yy1) - a*log10(x1);
443 G4double y = a*log10(en1) + b; 365 G4double y = a*log10(en1) + b;
444 y = pow(10.,y); 366 y = pow(10.,y);
445 367
446 // Calculation of the PAI dif. cross-sec << 368 // Calculation of the PAI dif. cross-section at this point
447 369
448 fImPartDielectricConst[i+1] = fNormaliza 370 fImPartDielectricConst[i+1] = fNormalizationCof*
449 ImPartDiel << 371 ImPartDielectricConst(k,fSplineEnergy[i+1]);
450 fRePartDielectricConst[i+1] = fNormaliza 372 fRePartDielectricConst[i+1] = fNormalizationCof*
451 RePartDiel << 373 RePartDielectricConst(fSplineEnergy[i+1]);
452 fIntegralTerm[i+1] = fIntegralTerm[i] + 374 fIntegralTerm[i+1] = fIntegralTerm[i] + fNormalizationCof*
453 RutherfordIntegral( << 375 RutherfordIntegral(k,fSplineEnergy[i],
454 376 fSplineEnergy[i+1]);
455 377
456 fDifPAIySection[i+1] = DifPAIySection(i+ 378 fDifPAIySection[i+1] = DifPAIySection(i+1,betaGammaSq);
457 fdNdxCerenkov[i+1] = PAIdNdxCerenkov(i 379 fdNdxCerenkov[i+1] = PAIdNdxCerenkov(i+1,betaGammaSq);
458 fdNdxPlasmon[i+1] = PAIdNdxPlasmon(i+ 380 fdNdxPlasmon[i+1] = PAIdNdxPlasmon(i+1,betaGammaSq);
459 381
460 // Condition for next divisi << 382 // Condition for next division of this segment or to pass
461 // to higher energies << 383 // to higher energies
462 384
463 G4double x = 2*(fDifPAIySection[i+1] - y 385 G4double x = 2*(fDifPAIySection[i+1] - y)/(fDifPAIySection[i+1] + y);
464 386
465 G4double delta = 2.*(fSplineEnergy[i+1]- <<
466 /(fSplineEnergy[i+1]+fSplineEnergy[i]) <<
467 <<
468 if( x < 0 ) 387 if( x < 0 )
469 { 388 {
470 x = -x; << 389 x = -x;
471 } 390 }
472 if( x > fError && fSplineNumber < fMaxSp << 391 if( x > fError && fSplineNumber < fMaxSplineSize-1 )
473 { 392 {
474 continue; // next division << 393 continue; // next division
475 } 394 }
476 i += 2; // pass to next segment 395 i += 2; // pass to next segment
477 396
478 // Loop checking, 03-Aug-2015, Vladimir <<
479 } // close 'while' 397 } // close 'while'
480 398
481 } // end of SplainPAI 399 } // end of SplainPAI
482 400
483 401
484 ////////////////////////////////////////////// 402 ////////////////////////////////////////////////////////////////////
485 // 403 //
486 // Integration over electrons that could be co 404 // Integration over electrons that could be considered
487 // quasi-free at energy transfer of interest 405 // quasi-free at energy transfer of interest
488 406
489 G4double G4PAIySection::RutherfordIntegral( G4 407 G4double G4PAIySection::RutherfordIntegral( G4int k,
490 G4 << 408 G4double x1,
491 << 409 G4double x2 )
492 { 410 {
493 G4double c1, c2, c3; 411 G4double c1, c2, c3;
494 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<< << 412 // G4cout<<"RI: x1 = "<<x1<<"; "<<"x2 = "<<x2<<G4endl;
495 G4double x12 = x1*x2; << 413 c1 = (x2 - x1)/x1/x2;
496 c1 = (x2 - x1)/x12; << 414 c2 = (x2 - x1)*(x2 + x1)/x1/x1/x2/x2;
497 c2 = (x2 - x1)*(x2 + x1)/(x12*x12); << 415 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2;
498 c3 = (x2 - x1)*(x1*x1 + x1*x2 + x2*x2)/(x12 <<
499 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "< 416 // G4cout<<" RI: c1 = "<<c1<<"; "<<"c2 = "<<c2<<"; "<<"c3 = "<<c3<<G4endl;
500 417
501 return fA1[k]*log(x2/x1) + fA2[k]*c1 + fA3 418 return fA1[k]*log(x2/x1) + fA2[k]*c1 + fA3[k]*c2/2 + fA4[k]*c3/3;
502 419
503 } // end of RutherfordIntegral 420 } // end of RutherfordIntegral
504 421
505 422
506 ////////////////////////////////////////////// 423 /////////////////////////////////////////////////////////////////
507 // 424 //
508 // Imaginary part of dielectric constant 425 // Imaginary part of dielectric constant
509 // (G4int k - interval number, G4double en1 - 426 // (G4int k - interval number, G4double en1 - energy point)
510 427
511 G4double G4PAIySection::ImPartDielectricConst( << 428 G4double G4PAIySection::ImPartDielectricConst( G4int k ,
>> 429 G4double energy1 )
512 { 430 {
513 G4double energy2,energy3,energy4,result; 431 G4double energy2,energy3,energy4,result;
514 432
515 energy2 = energy1*energy1; 433 energy2 = energy1*energy1;
516 energy3 = energy2*energy1; 434 energy3 = energy2*energy1;
517 energy4 = energy3*energy1; 435 energy4 = energy3*energy1;
518 436
519 result = fA1[k]/energy1+fA2[k]/energy2+fA3[ 437 result = fA1[k]/energy1+fA2[k]/energy2+fA3[k]/energy3+fA4[k]/energy4;
520 result *=hbarc/energy1; 438 result *=hbarc/energy1;
521 439
522 return result; 440 return result;
523 441
524 } // end of ImPartDielectricConst 442 } // end of ImPartDielectricConst
525 443
526 444
527 ////////////////////////////////////////////// 445 //////////////////////////////////////////////////////////////////////////////
528 // 446 //
529 // Real part of dielectric constant minus unit 447 // Real part of dielectric constant minus unit: epsilon_1 - 1
530 // (G4double enb - energy point) 448 // (G4double enb - energy point)
531 // 449 //
532 450
533 G4double G4PAIySection::RePartDielectricConst( 451 G4double G4PAIySection::RePartDielectricConst(G4double enb)
534 { 452 {
535 G4double x0, x02, x03, x04, x05, x1, x2, xx 453 G4double x0, x02, x03, x04, x05, x1, x2, xx1 ,xx2 , xx12,
536 c1, c2, c3, cof1, cof2, xln1, xln2 454 c1, c2, c3, cof1, cof2, xln1, xln2, xln3, result;
537 455
538 x0 = enb; 456 x0 = enb;
539 result = 0; 457 result = 0;
540 458
541 for(G4int i=1;i<=fIntervalNumber-1;++i) << 459 for(G4int i=1;i<=fIntervalNumber-1;i++)
542 { 460 {
543 x1 = fEnergyInterval[i]; 461 x1 = fEnergyInterval[i];
544 x2 = fEnergyInterval[i+1]; 462 x2 = fEnergyInterval[i+1];
545 xx1 = x1 - x0; 463 xx1 = x1 - x0;
546 xx2 = x2 - x0; 464 xx2 = x2 - x0;
547 xx12 = xx2/xx1; 465 xx12 = xx2/xx1;
548 466
549 if(xx12<0.) << 467 if(xx12<0)
550 { 468 {
551 xx12 = -xx12; << 469 xx12 = -xx12;
552 } 470 }
553 xln1 = log(x2/x1); 471 xln1 = log(x2/x1);
554 xln2 = log(xx12); 472 xln2 = log(xx12);
555 xln3 = log((x2 + x0)/(x1 + x0)); 473 xln3 = log((x2 + x0)/(x1 + x0));
556 x02 = x0*x0; 474 x02 = x0*x0;
557 x03 = x02*x0; 475 x03 = x02*x0;
558 x04 = x03*x0; 476 x04 = x03*x0;
559 x05 = x04*x0; 477 x05 = x04*x0;
560 G4double x12 = x1*x2; << 478 c1 = (x2 - x1)/x1/x2;
561 c1 = (x2 - x1)/x12; << 479 c2 = (x2 - x1)*(x2 +x1)/x1/x1/x2/x2;
562 c2 = (x2 - x1)*(x2 +x1)/(x12*x12); << 480 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/x1/x1/x1/x2/x2/x2;
563 c3 = (x2 -x1)*(x1*x1 + x1*x2 + x2*x2)/( <<
564 481
565 result -= (fA1[i]/x02 + fA3[i]/x04)*xln1 482 result -= (fA1[i]/x02 + fA3[i]/x04)*xln1;
566 result -= (fA2[i]/x02 + fA4[i]/x04)*c1; 483 result -= (fA2[i]/x02 + fA4[i]/x04)*c1;
567 result -= fA3[i]*c2/2/x02; 484 result -= fA3[i]*c2/2/x02;
568 result -= fA4[i]*c3/3/x02; 485 result -= fA4[i]*c3/3/x02;
569 486
570 cof1 = fA1[i]/x02 + fA3[i]/x04; 487 cof1 = fA1[i]/x02 + fA3[i]/x04;
571 cof2 = fA2[i]/x03 + fA4[i]/x05; 488 cof2 = fA2[i]/x03 + fA4[i]/x05;
572 489
573 result += 0.5*(cof1 +cof2)*xln2; 490 result += 0.5*(cof1 +cof2)*xln2;
574 result += 0.5*(cof1 - cof2)*xln3; 491 result += 0.5*(cof1 - cof2)*xln3;
575 } 492 }
576 result *= 2*hbarc/pi; 493 result *= 2*hbarc/pi;
577 494
578 return result; 495 return result;
579 496
580 } // end of RePartDielectricConst 497 } // end of RePartDielectricConst
581 498
582 ////////////////////////////////////////////// 499 //////////////////////////////////////////////////////////////////////
583 // 500 //
584 // PAI differential cross-section in terms of 501 // PAI differential cross-section in terms of
585 // simplified Allison's equation 502 // simplified Allison's equation
586 // 503 //
587 504
588 G4double G4PAIySection::DifPAIySection( G4int 505 G4double G4PAIySection::DifPAIySection( G4int i ,
589 G4doub 506 G4double betaGammaSq )
590 { 507 {
591 G4double beta, be2,cof,x1,x2,x3,x4,x5,x6,x7 << 508 G4double be2,cof,x1,x2,x3,x4,x5,x6,x7,x8,result;
>> 509 //G4double beta, be4;
>> 510 G4double be4;
>> 511 G4double betaBohr2 = fine_structure_const*fine_structure_const;
>> 512 G4double betaBohr4 = betaBohr2*betaBohr2*4.0;
592 be2 = betaGammaSq/(1 + betaGammaSq); 513 be2 = betaGammaSq/(1 + betaGammaSq);
593 beta = std::sqrt(be2); << 514 be4 = be2*be2;
>> 515 // beta = sqrt(be2);
594 cof = 1; 516 cof = 1;
595 x1 = log(2*electron_mass_c2/fSplineEnergy[i 517 x1 = log(2*electron_mass_c2/fSplineEnergy[i]);
596 518
597 if( betaGammaSq < 0.01 ) x2 = log(be2); 519 if( betaGammaSq < 0.01 ) x2 = log(be2);
598 else 520 else
599 { 521 {
600 x2 = -log( (1/betaGammaSq - fRePartDielec 522 x2 = -log( (1/betaGammaSq - fRePartDielectricConst[i])*
601 (1/betaGammaSq - fRePartDielec << 523 (1/betaGammaSq - fRePartDielectricConst[i]) +
602 fImPartDielectricConst[i]*fImP << 524 fImPartDielectricConst[i]*fImPartDielectricConst[i] )/2;
603 } 525 }
604 if( fImPartDielectricConst[i] == 0.0 ||beta 526 if( fImPartDielectricConst[i] == 0.0 ||betaGammaSq < 0.01 )
605 { 527 {
606 x6=0; 528 x6=0;
607 } 529 }
608 else 530 else
609 { 531 {
610 x3 = -fRePartDielectricConst[i] + 1/betaG 532 x3 = -fRePartDielectricConst[i] + 1/betaGammaSq;
611 x5 = -1 - fRePartDielectricConst[i] + 533 x5 = -1 - fRePartDielectricConst[i] +
612 be2*((1 +fRePartDielectricConst[i])* 534 be2*((1 +fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
613 fImPartDielectricConst[i]*fImPartDie << 535 fImPartDielectricConst[i]*fImPartDielectricConst[i]);
614 536
615 x7 = std::atan2(fImPartDielectricConst[i] << 537 x7 = atan2(fImPartDielectricConst[i],x3);
616 x6 = x5 * x7; 538 x6 = x5 * x7;
617 } 539 }
>> 540 // if(fImPartDielectricConst[i] == 0) x6 = 0;
>> 541
618 x4 = ((x1 + x2)*fImPartDielectricConst[i] + 542 x4 = ((x1 + x2)*fImPartDielectricConst[i] + x6)/hbarc;
>> 543 // if( x4 < 0.0 ) x4 = 0.0;
619 x8 = (1 + fRePartDielectricConst[i])*(1 + f 544 x8 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
620 fImPartDielectricConst[i]*fImPartDiele 545 fImPartDielectricConst[i]*fImPartDielectricConst[i];
621 546
622 result = (x4 + cof*fIntegralTerm[i]/fSpline 547 result = (x4 + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i]);
623 result = std::max(result, 1.0e-8); << 548 if(result < 1.0e-8) result = 1.0e-8;
624 result *= fine_structure_const/(be2*pi); << 549 result *= fine_structure_const/be2/pi;
625 // low energy correction << 550 // result *= (1-exp(-beta/betaBohr))*(1-exp(-beta/betaBohr));
626 << 551 // result *= (1-exp(-be2/betaBohr2));
627 G4double lowCof = fLowEnergyCof; // 6.0 ; / << 552 result *= (1-exp(-be4/betaBohr4));
628 << 553 // if(fDensity >= 0.1)
629 result *= (1 - std::exp(-beta/(betaBohr*low <<
630 if(x8 > 0.) 554 if(x8 > 0.)
631 { 555 {
632 result /= x8; << 556 result /= x8;
633 } 557 }
634 return result; 558 return result;
635 559
636 } // end of DifPAIySection 560 } // end of DifPAIySection
637 561
638 ////////////////////////////////////////////// 562 //////////////////////////////////////////////////////////////////////////
639 // 563 //
640 // Calculation od dN/dx of collisions with cre 564 // Calculation od dN/dx of collisions with creation of Cerenkov pseudo-photons
641 565
642 G4double G4PAIySection::PAIdNdxCerenkov( G4int << 566 G4double G4PAIySection::PAIdNdxCerenkov( G4int i ,
>> 567 G4double betaGammaSq )
643 { 568 {
644 G4double logarithm, x3, x5, argument, modul << 569 G4double cof, logarithm, x3, x5, argument, modul2, dNdxC;
645 G4double be2, be4; << 570 G4double be2, be4, betaBohr2,betaBohr4,cofBetaBohr;
>> 571
>> 572 cof = 1.0;
>> 573 cofBetaBohr = 4.0;
>> 574 betaBohr2 = fine_structure_const*fine_structure_const;
>> 575 betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
646 576
647 be2 = betaGammaSq/(1 + betaGammaSq); 577 be2 = betaGammaSq/(1 + betaGammaSq);
648 be4 = be2*be2; 578 be4 = be2*be2;
649 579
650 if( betaGammaSq < 0.01 ) logarithm = log(1. 580 if( betaGammaSq < 0.01 ) logarithm = log(1.0+betaGammaSq); // 0.0;
651 else 581 else
652 { 582 {
653 logarithm = -std::log( (1/betaGammaSq - f << 583 logarithm = -log( (1/betaGammaSq - fRePartDielectricConst[i])*
654 (1/betaGammaSq - fRePa << 584 (1/betaGammaSq - fRePartDielectricConst[i]) +
655 fImPartDielectricConst << 585 fImPartDielectricConst[i]*fImPartDielectricConst[i] )*0.5;
656 logarithm += std::log(1+1.0/betaGammaSq); << 586 logarithm += log(1+1.0/betaGammaSq);
657 } 587 }
658 588
659 if( fImPartDielectricConst[i] == 0.0 || bet 589 if( fImPartDielectricConst[i] == 0.0 || betaGammaSq < 0.01 )
660 { 590 {
661 argument = 0.0; 591 argument = 0.0;
662 } 592 }
663 else 593 else
664 { 594 {
665 x3 = -fRePartDielectricConst[i] + 1.0/bet 595 x3 = -fRePartDielectricConst[i] + 1.0/betaGammaSq;
666 x5 = -1.0 - fRePartDielectricConst[i] + 596 x5 = -1.0 - fRePartDielectricConst[i] +
667 be2*((1.0 +fRePartDielectricConst[i] 597 be2*((1.0 +fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) +
668 fImPartDielectricConst[i]*fImPartDie << 598 fImPartDielectricConst[i]*fImPartDielectricConst[i]);
669 if( x3 == 0.0 ) argument = 0.5*pi; 599 if( x3 == 0.0 ) argument = 0.5*pi;
670 else argument = std::atan2(fIm << 600 else argument = atan2(fImPartDielectricConst[i],x3);
671 argument *= x5 ; 601 argument *= x5 ;
672 } 602 }
673 dNdxC = ( logarithm*fImPartDielectricConst[ 603 dNdxC = ( logarithm*fImPartDielectricConst[i] + argument )/hbarc;
674 604
675 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8; 605 if(dNdxC < 1.0e-8) dNdxC = 1.0e-8;
676 606
677 dNdxC *= fine_structure_const/be2/pi; 607 dNdxC *= fine_structure_const/be2/pi;
678 608
679 dNdxC *= (1 - std::exp(-be4/betaBohr4)); << 609 dNdxC *= (1-exp(-be4/betaBohr4));
680 610
>> 611 // if(fDensity >= 0.1)
>> 612 // {
681 modul2 = (1.0 + fRePartDielectricConst[i])* 613 modul2 = (1.0 + fRePartDielectricConst[i])*(1.0 + fRePartDielectricConst[i]) +
682 fImPartDielectricConst[i]* 614 fImPartDielectricConst[i]*fImPartDielectricConst[i];
683 if(modul2 > 0.) 615 if(modul2 > 0.)
684 { 616 {
685 dNdxC /= modul2; 617 dNdxC /= modul2;
686 } 618 }
687 return dNdxC; 619 return dNdxC;
688 620
689 } // end of PAIdNdxCerenkov 621 } // end of PAIdNdxCerenkov
690 622
691 ////////////////////////////////////////////// 623 //////////////////////////////////////////////////////////////////////////
692 // 624 //
693 // Calculation od dN/dx of collisions with cre 625 // Calculation od dN/dx of collisions with creation of longitudinal EM
694 // excitations (plasmons, delta-electrons) 626 // excitations (plasmons, delta-electrons)
695 627
696 G4double G4PAIySection::PAIdNdxPlasmon( G4int << 628 G4double G4PAIySection::PAIdNdxPlasmon( G4int i ,
>> 629 G4double betaGammaSq )
697 { 630 {
698 G4double cof, resonance, modul2, dNdxP; 631 G4double cof, resonance, modul2, dNdxP;
699 G4double be2, be4; << 632 G4double be2, be4, betaBohr2, betaBohr4, cofBetaBohr;
700 633
701 cof = 1; 634 cof = 1;
>> 635 cofBetaBohr = 4.0;
>> 636 betaBohr2 = fine_structure_const*fine_structure_const;
>> 637 betaBohr4 = betaBohr2*betaBohr2*cofBetaBohr;
702 638
703 be2 = betaGammaSq/(1 + betaGammaSq); 639 be2 = betaGammaSq/(1 + betaGammaSq);
704 be4 = be2*be2; 640 be4 = be2*be2;
705 641
706 resonance = std::log(2*electron_mass_c2*be2 << 642 resonance = log(2*electron_mass_c2*be2/fSplineEnergy[i]);
707 resonance *= fImPartDielectricConst[i]/hbar 643 resonance *= fImPartDielectricConst[i]/hbarc;
708 644
>> 645
709 dNdxP = ( resonance + cof*fIntegralTerm[i]/ 646 dNdxP = ( resonance + cof*fIntegralTerm[i]/fSplineEnergy[i]/fSplineEnergy[i] );
710 647
711 dNdxP = std::max(dNdxP, 1.0e-8); << 648 if( dNdxP < 1.0e-8 ) dNdxP = 1.0e-8;
712 649
713 dNdxP *= fine_structure_const/be2/pi; 650 dNdxP *= fine_structure_const/be2/pi;
714 dNdxP *= (1 - std::exp(-be4/betaBohr4)); << 651 dNdxP *= (1-exp(-be4/betaBohr4));
715 652
>> 653 // if( fDensity >= 0.1 )
>> 654 // {
716 modul2 = (1 + fRePartDielectricConst[i])*(1 655 modul2 = (1 + fRePartDielectricConst[i])*(1 + fRePartDielectricConst[i]) +
717 fImPartDielectricConst[i]*fImPartDielectr 656 fImPartDielectricConst[i]*fImPartDielectricConst[i];
718 if(modul2 > 0.) 657 if(modul2 > 0.)
719 { 658 {
720 dNdxP /= modul2; 659 dNdxP /= modul2;
721 } 660 }
722 return dNdxP; 661 return dNdxP;
723 662
724 } // end of PAIdNdxPlasmon 663 } // end of PAIdNdxPlasmon
725 664
726 ////////////////////////////////////////////// 665 ////////////////////////////////////////////////////////////////////////
727 // 666 //
728 // Calculation of the PAI integral cross-secti 667 // Calculation of the PAI integral cross-section
729 // fIntegralPAIySection[1] = specific primary 668 // fIntegralPAIySection[1] = specific primary ionisation, 1/cm
730 // and fIntegralPAIySection[0] = mean energy l 669 // and fIntegralPAIySection[0] = mean energy loss per cm in keV/cm
731 670
732 void G4PAIySection::IntegralPAIySection() 671 void G4PAIySection::IntegralPAIySection()
733 { 672 {
734 fIntegralPAIySection[fSplineNumber] = 0; 673 fIntegralPAIySection[fSplineNumber] = 0;
735 fIntegralPAIdEdx[fSplineNumber] = 0; 674 fIntegralPAIdEdx[fSplineNumber] = 0;
736 fIntegralPAIySection[0] = 0; 675 fIntegralPAIySection[0] = 0;
737 G4int k = fIntervalNumber -1; 676 G4int k = fIntervalNumber -1;
738 677
739 for(G4int i = fSplineNumber-1; i >= 1; i--) 678 for(G4int i = fSplineNumber-1; i >= 1; i--)
740 { 679 {
741 if(fSplineEnergy[i] >= fEnergyInterval[k]) 680 if(fSplineEnergy[i] >= fEnergyInterval[k])
742 { 681 {
743 fIntegralPAIySection[i] = fIntegralPAIyS 682 fIntegralPAIySection[i] = fIntegralPAIySection[i+1] + SumOverInterval(i);
744 fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i 683 fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] + SumOverIntervaldEdx(i);
745 } 684 }
746 else 685 else
747 { 686 {
748 fIntegralPAIySection[i] = fIntegralPAIyS 687 fIntegralPAIySection[i] = fIntegralPAIySection[i+1] +
749 SumOverBord << 688 SumOverBorder(i+1,fEnergyInterval[k]);
750 fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i 689 fIntegralPAIdEdx[i] = fIntegralPAIdEdx[i+1] +
751 SumOverBord << 690 SumOverBorderdEdx(i+1,fEnergyInterval[k]);
752 k--; 691 k--;
753 } 692 }
754 } 693 }
755 } // end of IntegralPAIySection 694 } // end of IntegralPAIySection
756 695
757 ////////////////////////////////////////////// 696 ////////////////////////////////////////////////////////////////////////
758 // 697 //
759 // Calculation of the PAI Cerenkov integral cr 698 // Calculation of the PAI Cerenkov integral cross-section
760 // fIntegralCrenkov[1] = specific Crenkov ioni 699 // fIntegralCrenkov[1] = specific Crenkov ionisation, 1/cm
761 // and fIntegralCerenkov[0] = mean Cerenkov lo 700 // and fIntegralCerenkov[0] = mean Cerenkov loss per cm in keV/cm
762 701
763 void G4PAIySection::IntegralCerenkov() 702 void G4PAIySection::IntegralCerenkov()
764 { 703 {
765 G4int i, k; 704 G4int i, k;
766 fIntegralCerenkov[fSplineNumber] = 0; 705 fIntegralCerenkov[fSplineNumber] = 0;
767 fIntegralCerenkov[0] = 0; 706 fIntegralCerenkov[0] = 0;
768 k = fIntervalNumber -1; 707 k = fIntervalNumber -1;
769 708
770 for( i = fSplineNumber-1; i >= 1; i-- ) 709 for( i = fSplineNumber-1; i >= 1; i-- )
771 { 710 {
772 if(fSplineEnergy[i] >= fEnergyInterval[k 711 if(fSplineEnergy[i] >= fEnergyInterval[k])
773 { 712 {
774 fIntegralCerenkov[i] = fIntegralCerenk 713 fIntegralCerenkov[i] = fIntegralCerenkov[i+1] + SumOverInterCerenkov(i);
775 // G4cout<<"int: i = "<<i<<"; sumC = " << 714 // G4cout<<"int: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl;
776 } 715 }
777 else 716 else
778 { 717 {
779 fIntegralCerenkov[i] = fIntegralCerenk 718 fIntegralCerenkov[i] = fIntegralCerenkov[i+1] +
780 SumOverBord << 719 SumOverBordCerenkov(i+1,fEnergyInterval[k]);
781 k--; << 720 k--;
782 // G4cout<<"bord: i = "<<i<<"; sumC = << 721 // G4cout<<"bord: i = "<<i<<"; sumC = "<<fIntegralCerenkov[i]<<G4endl;
783 } 722 }
784 } 723 }
785 724
786 } // end of IntegralCerenkov 725 } // end of IntegralCerenkov
787 726
788 ////////////////////////////////////////////// 727 ////////////////////////////////////////////////////////////////////////
789 // 728 //
790 // Calculation of the PAI Plasmon integral cro 729 // Calculation of the PAI Plasmon integral cross-section
791 // fIntegralPlasmon[1] = splasmon primary ioni 730 // fIntegralPlasmon[1] = splasmon primary ionisation, 1/cm
792 // and fIntegralPlasmon[0] = mean plasmon loss 731 // and fIntegralPlasmon[0] = mean plasmon loss per cm in keV/cm
793 732
794 void G4PAIySection::IntegralPlasmon() 733 void G4PAIySection::IntegralPlasmon()
795 { 734 {
796 fIntegralPlasmon[fSplineNumber] = 0; 735 fIntegralPlasmon[fSplineNumber] = 0;
797 fIntegralPlasmon[0] = 0; 736 fIntegralPlasmon[0] = 0;
798 G4int k = fIntervalNumber -1; 737 G4int k = fIntervalNumber -1;
799 for(G4int i=fSplineNumber-1;i>=1;i--) 738 for(G4int i=fSplineNumber-1;i>=1;i--)
800 { 739 {
801 if(fSplineEnergy[i] >= fEnergyInterval[k 740 if(fSplineEnergy[i] >= fEnergyInterval[k])
802 { 741 {
803 fIntegralPlasmon[i] = fIntegralPlasmon 742 fIntegralPlasmon[i] = fIntegralPlasmon[i+1] + SumOverInterPlasmon(i);
804 } 743 }
805 else 744 else
806 { 745 {
807 fIntegralPlasmon[i] = fIntegralPlasmon 746 fIntegralPlasmon[i] = fIntegralPlasmon[i+1] +
808 SumOverBord << 747 SumOverBordPlasmon(i+1,fEnergyInterval[k]);
809 k--; << 748 k--;
810 } 749 }
811 } 750 }
>> 751
812 } // end of IntegralPlasmon 752 } // end of IntegralPlasmon
813 753
814 ////////////////////////////////////////////// 754 //////////////////////////////////////////////////////////////////////
815 // 755 //
816 // Calculation the PAI integral cross-section 756 // Calculation the PAI integral cross-section inside
817 // of interval of continuous values of photo-i 757 // of interval of continuous values of photo-ionisation
818 // cross-section. Parameter 'i' is the number 758 // cross-section. Parameter 'i' is the number of interval.
819 759
820 G4double G4PAIySection::SumOverInterval( G4int 760 G4double G4PAIySection::SumOverInterval( G4int i )
821 { 761 {
822 G4double x0,x1,y0,yy1,a,b,c,result; 762 G4double x0,x1,y0,yy1,a,b,c,result;
823 763
824 x0 = fSplineEnergy[i]; 764 x0 = fSplineEnergy[i];
825 x1 = fSplineEnergy[i+1]; 765 x1 = fSplineEnergy[i+1];
826 <<
827 if( std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) <<
828 <<
829 y0 = fDifPAIySection[i]; 766 y0 = fDifPAIySection[i];
830 yy1 = fDifPAIySection[i+1]; 767 yy1 = fDifPAIySection[i+1];
831 //G4cout << "## x0= " << x0 << " x1= " << x <<
832 c = x1/x0; 768 c = x1/x0;
833 //G4cout << "c= " << c << " y0= " << y0 << <<
834 a = log10(yy1/y0)/log10(c); 769 a = log10(yy1/y0)/log10(c);
835 //G4cout << "a= " << a << G4endl; << 770 // b = log10(y0) - a*log10(x0);
836 << 771 b = y0/pow(x0,a);
837 b = 0.0; <<
838 if(a < 20.) b = y0/pow(x0,a); <<
839 <<
840 a += 1; 772 a += 1;
841 if(a == 0) 773 if(a == 0)
842 { 774 {
843 result = b*log(x1/x0); 775 result = b*log(x1/x0);
844 } 776 }
845 else 777 else
846 { 778 {
847 result = y0*(x1*pow(c,a-1) - x0)/a; 779 result = y0*(x1*pow(c,a-1) - x0)/a;
848 } 780 }
849 a++; 781 a++;
850 if(a == 0) 782 if(a == 0)
851 { 783 {
852 fIntegralPAIySection[0] += b*log(x1/x0); 784 fIntegralPAIySection[0] += b*log(x1/x0);
853 } 785 }
854 else 786 else
855 { 787 {
856 fIntegralPAIySection[0] += y0*(x1*x1*pow 788 fIntegralPAIySection[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
857 } 789 }
858 return result; 790 return result;
859 791
860 } // end of SumOverInterval 792 } // end of SumOverInterval
861 793
862 ///////////////////////////////// 794 /////////////////////////////////
863 795
864 G4double G4PAIySection::SumOverIntervaldEdx( G 796 G4double G4PAIySection::SumOverIntervaldEdx( G4int i )
865 { 797 {
866 G4double x0,x1,y0,yy1,a,b,c,result; 798 G4double x0,x1,y0,yy1,a,b,c,result;
867 799
868 x0 = fSplineEnergy[i]; 800 x0 = fSplineEnergy[i];
869 x1 = fSplineEnergy[i+1]; 801 x1 = fSplineEnergy[i+1];
870 <<
871 if( std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) <<
872 <<
873 y0 = fDifPAIySection[i]; 802 y0 = fDifPAIySection[i];
874 yy1 = fDifPAIySection[i+1]; 803 yy1 = fDifPAIySection[i+1];
875 c = x1/x0; 804 c = x1/x0;
876 a = log10(yy1/y0)/log10(c); 805 a = log10(yy1/y0)/log10(c);
877 << 806 // b = log10(y0) - a*log10(x0);
878 b = 0.0; << 807 b = y0/pow(x0,a);
879 if(a < 20.) b = y0/pow(x0,a); <<
880 <<
881 a += 2; 808 a += 2;
882 if(a == 0) 809 if(a == 0)
883 { 810 {
884 result = b*log(x1/x0); 811 result = b*log(x1/x0);
885 } 812 }
886 else 813 else
887 { 814 {
888 result = y0*(x1*x1*pow(c,a-2) - x0*x0)/a; 815 result = y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
889 } 816 }
890 return result; 817 return result;
891 818
892 } // end of SumOverInterval 819 } // end of SumOverInterval
893 820
894 ////////////////////////////////////////////// 821 //////////////////////////////////////////////////////////////////////
895 // 822 //
896 // Calculation the PAI Cerenkov integral cross 823 // Calculation the PAI Cerenkov integral cross-section inside
897 // of interval of continuous values of photo-i 824 // of interval of continuous values of photo-ionisation Cerenkov
898 // cross-section. Parameter 'i' is the number 825 // cross-section. Parameter 'i' is the number of interval.
899 826
900 G4double G4PAIySection::SumOverInterCerenkov( 827 G4double G4PAIySection::SumOverInterCerenkov( G4int i )
901 { 828 {
902 G4double x0,x1,y0,yy1,a,c,result; 829 G4double x0,x1,y0,yy1,a,c,result;
903 830
904 x0 = fSplineEnergy[i]; 831 x0 = fSplineEnergy[i];
905 x1 = fSplineEnergy[i+1]; 832 x1 = fSplineEnergy[i+1];
906 <<
907 if( std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) <<
908 <<
909 y0 = fdNdxCerenkov[i]; 833 y0 = fdNdxCerenkov[i];
910 yy1 = fdNdxCerenkov[i+1]; 834 yy1 = fdNdxCerenkov[i+1];
911 // G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<" 835 // G4cout<<"SumC, i = "<<i<<"; x0 ="<<x0<<"; x1 = "<<x1
912 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4en 836 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
913 837
914 c = x1/x0; 838 c = x1/x0;
915 a = log10(yy1/y0)/log10(c); 839 a = log10(yy1/y0)/log10(c);
916 G4double b = 0.0; 840 G4double b = 0.0;
917 if(a < 20.) b = y0/pow(x0,a); 841 if(a < 20.) b = y0/pow(x0,a);
918 842
919 a += 1.0; 843 a += 1.0;
920 if(a == 0) result = b*log(c); 844 if(a == 0) result = b*log(c);
921 else result = y0*(x1*pow(c,a-1) - x0) 845 else result = y0*(x1*pow(c,a-1) - x0)/a;
922 a += 1.0; 846 a += 1.0;
923 847
924 if( a == 0 ) fIntegralCerenkov[0] += b*log( 848 if( a == 0 ) fIntegralCerenkov[0] += b*log(x1/x0);
925 else fIntegralCerenkov[0] += y0*(x1 849 else fIntegralCerenkov[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
926 // G4cout<<"a = "<<a<<"; b = "<<b<<"; resu 850 // G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl;
927 return result; 851 return result;
928 852
929 } // end of SumOverInterCerenkov 853 } // end of SumOverInterCerenkov
930 854
931 ////////////////////////////////////////////// 855 //////////////////////////////////////////////////////////////////////
932 // 856 //
933 // Calculation the PAI Plasmon integral cross- 857 // Calculation the PAI Plasmon integral cross-section inside
934 // of interval of continuous values of photo-i 858 // of interval of continuous values of photo-ionisation Plasmon
935 // cross-section. Parameter 'i' is the number 859 // cross-section. Parameter 'i' is the number of interval.
936 860
937 G4double G4PAIySection::SumOverInterPlasmon( G 861 G4double G4PAIySection::SumOverInterPlasmon( G4int i )
938 { 862 {
939 G4double x0,x1,y0,yy1,a,c,result; << 863 G4double x0,x1,y0,yy1,a,c,result;
940 864
941 x0 = fSplineEnergy[i]; 865 x0 = fSplineEnergy[i];
942 x1 = fSplineEnergy[i+1]; 866 x1 = fSplineEnergy[i+1];
943 <<
944 if( std::abs( 2.*(x1-x0)/(x1+x0) ) < 1.e-6) <<
945 <<
946 y0 = fdNdxPlasmon[i]; 867 y0 = fdNdxPlasmon[i];
947 yy1 = fdNdxPlasmon[i+1]; 868 yy1 = fdNdxPlasmon[i+1];
948 c = x1/x0; << 869 c =x1/x0;
949 a = log10(yy1/y0)/log10(c); 870 a = log10(yy1/y0)/log10(c);
950 871
951 G4double b = 0.0; 872 G4double b = 0.0;
952 if(a < 20.) b = y0/pow(x0,a); 873 if(a < 20.) b = y0/pow(x0,a);
953 874
954 a += 1.0; 875 a += 1.0;
955 if(a == 0) result = b*log(x1/x0); 876 if(a == 0) result = b*log(x1/x0);
956 else result = y0*(x1*pow(c,a-1) - x0) 877 else result = y0*(x1*pow(c,a-1) - x0)/a;
957 a += 1.0; 878 a += 1.0;
958 879
959 if( a == 0 ) fIntegralPlasmon[0] += b*log(x 880 if( a == 0 ) fIntegralPlasmon[0] += b*log(x1/x0);
960 else fIntegralPlasmon[0] += y0*(x1* 881 else fIntegralPlasmon[0] += y0*(x1*x1*pow(c,a-2) - x0*x0)/a;
961 882
962 return result; 883 return result;
963 884
964 } // end of SumOverInterPlasmon 885 } // end of SumOverInterPlasmon
965 886
966 ////////////////////////////////////////////// 887 ///////////////////////////////////////////////////////////////////////////////
967 // 888 //
968 // Integration of PAI cross-section for the ca 889 // Integration of PAI cross-section for the case of
969 // passing across border between intervals 890 // passing across border between intervals
970 891
971 G4double G4PAIySection::SumOverBorder( G4int 892 G4double G4PAIySection::SumOverBorder( G4int i ,
972 G4doubl 893 G4double en0 )
973 { 894 {
974 G4double x0,x1,y0,yy1,a,d,e0,result; << 895 G4double x0,x1,y0,yy1,a,c,d,e0,result;
975 896
976 e0 = en0; 897 e0 = en0;
977 x0 = fSplineEnergy[i]; 898 x0 = fSplineEnergy[i];
978 x1 = fSplineEnergy[i+1]; 899 x1 = fSplineEnergy[i+1];
979 y0 = fDifPAIySection[i]; 900 y0 = fDifPAIySection[i];
980 yy1 = fDifPAIySection[i+1]; 901 yy1 = fDifPAIySection[i+1];
981 902
>> 903 c = x1/x0;
982 d = e0/x0; 904 d = e0/x0;
983 a = log10(yy1/y0)/log10(x1/x0); 905 a = log10(yy1/y0)/log10(x1/x0);
984 906
985 G4double b = 0.0; 907 G4double b = 0.0;
986 if(a < 20.) b = y0/pow(x0,a); 908 if(a < 20.) b = y0/pow(x0,a);
987 909
988 a += 1; 910 a += 1;
989 if(a == 0) 911 if(a == 0)
990 { 912 {
991 result = b*log(x0/e0); 913 result = b*log(x0/e0);
992 } 914 }
993 else 915 else
994 { 916 {
995 result = y0*(x0 - e0*pow(d,a-1))/a; 917 result = y0*(x0 - e0*pow(d,a-1))/a;
996 } 918 }
997 a++; 919 a++;
998 if(a == 0) 920 if(a == 0)
999 { 921 {
1000 fIntegralPAIySection[0] += b*log(x0/e0) 922 fIntegralPAIySection[0] += b*log(x0/e0);
1001 } 923 }
1002 else 924 else
1003 { 925 {
1004 fIntegralPAIySection[0] += y0*(x0*x0 - 926 fIntegralPAIySection[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
1005 } 927 }
1006 x0 = fSplineEnergy[i - 1]; 928 x0 = fSplineEnergy[i - 1];
1007 x1 = fSplineEnergy[i - 2]; 929 x1 = fSplineEnergy[i - 2];
1008 y0 = fDifPAIySection[i - 1]; 930 y0 = fDifPAIySection[i - 1];
1009 yy1 = fDifPAIySection[i - 2]; 931 yy1 = fDifPAIySection[i - 2];
1010 932
1011 //c = x1/x0; << 933 c = x1/x0;
1012 d = e0/x0; 934 d = e0/x0;
1013 a = log10(yy1/y0)/log10(x1/x0); 935 a = log10(yy1/y0)/log10(x1/x0);
1014 << 936 // b0 = log10(y0) - a*log10(x0);
1015 b = 0.0; << 937 b = y0/pow(x0,a);
1016 if(a < 20.) b = y0/pow(x0,a); <<
1017 <<
1018 a += 1; 938 a += 1;
1019 if(a == 0) 939 if(a == 0)
1020 { 940 {
1021 result += b*log(e0/x0); 941 result += b*log(e0/x0);
1022 } 942 }
1023 else 943 else
1024 { 944 {
1025 result += y0*(e0*pow(d,a-1) - x0)/a; 945 result += y0*(e0*pow(d,a-1) - x0)/a;
1026 } 946 }
1027 a++; 947 a++;
1028 if(a == 0) 948 if(a == 0)
1029 { 949 {
1030 fIntegralPAIySection[0] += b*log(e0/x0) 950 fIntegralPAIySection[0] += b*log(e0/x0);
1031 } 951 }
1032 else 952 else
1033 { 953 {
1034 fIntegralPAIySection[0] += y0*(e0*e0*po 954 fIntegralPAIySection[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
1035 } 955 }
1036 return result; 956 return result;
1037 957
1038 } 958 }
1039 959
1040 ///////////////////////////////////////////// 960 ///////////////////////////////////////////////////////////////////////
1041 961
1042 G4double G4PAIySection::SumOverBorderdEdx( G4 962 G4double G4PAIySection::SumOverBorderdEdx( G4int i ,
1043 G4doub 963 G4double en0 )
1044 { 964 {
1045 G4double x0,x1,y0,yy1,a,/*c,*/d,e0,result; << 965 G4double x0,x1,y0,yy1,a,c,d,e0,result;
1046 966
1047 e0 = en0; 967 e0 = en0;
1048 x0 = fSplineEnergy[i]; 968 x0 = fSplineEnergy[i];
1049 x1 = fSplineEnergy[i+1]; 969 x1 = fSplineEnergy[i+1];
1050 y0 = fDifPAIySection[i]; 970 y0 = fDifPAIySection[i];
1051 yy1 = fDifPAIySection[i+1]; 971 yy1 = fDifPAIySection[i+1];
1052 972
>> 973 c = x1/x0;
1053 d = e0/x0; 974 d = e0/x0;
1054 a = log10(yy1/y0)/log10(x1/x0); 975 a = log10(yy1/y0)/log10(x1/x0);
1055 976
1056 G4double b = 0.0; 977 G4double b = 0.0;
1057 if(a < 20.) b = y0/pow(x0,a); 978 if(a < 20.) b = y0/pow(x0,a);
1058 979
1059 a += 2; 980 a += 2;
1060 if(a == 0) 981 if(a == 0)
1061 { 982 {
1062 result = b*log(x0/e0); 983 result = b*log(x0/e0);
1063 } 984 }
1064 else 985 else
1065 { 986 {
1066 result = y0*(x0*x0 - e0*e0*pow(d,a-2))/ 987 result = y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
1067 } 988 }
1068 x0 = fSplineEnergy[i - 1]; 989 x0 = fSplineEnergy[i - 1];
1069 x1 = fSplineEnergy[i - 2]; 990 x1 = fSplineEnergy[i - 2];
1070 y0 = fDifPAIySection[i - 1]; 991 y0 = fDifPAIySection[i - 1];
1071 yy1 = fDifPAIySection[i - 2]; 992 yy1 = fDifPAIySection[i - 2];
1072 993
>> 994 c = x1/x0;
1073 d = e0/x0; 995 d = e0/x0;
1074 a = log10(yy1/y0)/log10(x1/x0); 996 a = log10(yy1/y0)/log10(x1/x0);
1075 997
1076 b = 0.0; <<
1077 if(a < 20.) b = y0/pow(x0,a); 998 if(a < 20.) b = y0/pow(x0,a);
1078 999
1079 a += 2; 1000 a += 2;
1080 if(a == 0) 1001 if(a == 0)
1081 { 1002 {
1082 result += b*log(e0/x0); 1003 result += b*log(e0/x0);
1083 } 1004 }
1084 else 1005 else
1085 { 1006 {
1086 result += y0*(e0*e0*pow(d,a-2) - x0*x0) 1007 result += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
1087 } 1008 }
1088 return result; 1009 return result;
>> 1010
1089 } 1011 }
1090 1012
1091 ///////////////////////////////////////////// 1013 ///////////////////////////////////////////////////////////////////////////////
1092 // 1014 //
1093 // Integration of Cerenkov cross-section for 1015 // Integration of Cerenkov cross-section for the case of
1094 // passing across border between intervals 1016 // passing across border between intervals
1095 1017
1096 G4double G4PAIySection::SumOverBordCerenkov( 1018 G4double G4PAIySection::SumOverBordCerenkov( G4int i ,
1097 1019 G4double en0 )
1098 { 1020 {
1099 G4double x0,x1,y0,yy1,a,e0,c,d,result; 1021 G4double x0,x1,y0,yy1,a,e0,c,d,result;
1100 1022
1101 e0 = en0; 1023 e0 = en0;
1102 x0 = fSplineEnergy[i]; 1024 x0 = fSplineEnergy[i];
1103 x1 = fSplineEnergy[i+1]; 1025 x1 = fSplineEnergy[i+1];
1104 y0 = fdNdxCerenkov[i]; 1026 y0 = fdNdxCerenkov[i];
1105 yy1 = fdNdxCerenkov[i+1]; 1027 yy1 = fdNdxCerenkov[i+1];
1106 1028
1107 // G4cout<<G4endl; 1029 // G4cout<<G4endl;
1108 //G4cout<<"SumBordC, i = "<<i<<"; en0 = "< 1030 //G4cout<<"SumBordC, i = "<<i<<"; en0 = "<<en0<<"; x0 ="<<x0<<"; x1 = "<<x1
1109 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G 1031 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
1110 c = x1/x0; 1032 c = x1/x0;
1111 d = e0/x0; 1033 d = e0/x0;
1112 a = log10(yy1/y0)/log10(c); 1034 a = log10(yy1/y0)/log10(c);
1113 1035
1114 G4double b = 0.0; 1036 G4double b = 0.0;
1115 if(a < 20.) b = y0/pow(x0,a); 1037 if(a < 20.) b = y0/pow(x0,a);
1116 1038
1117 a += 1.0; 1039 a += 1.0;
1118 if( a == 0 ) result = b*log(x0/e0); 1040 if( a == 0 ) result = b*log(x0/e0);
1119 else result = y0*(x0 - e0*pow(d,a- 1041 else result = y0*(x0 - e0*pow(d,a-1))/a;
1120 a += 1.0; 1042 a += 1.0;
1121 1043
1122 if( a == 0 ) fIntegralCerenkov[0] += b*log 1044 if( a == 0 ) fIntegralCerenkov[0] += b*log(x0/e0);
1123 else fIntegralCerenkov[0] += y0*(x 1045 else fIntegralCerenkov[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
1124 1046
1125 //G4cout<<"a = "<<a<<"; b = "<<b<<"; resul 1047 //G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl;
1126 1048
1127 x0 = fSplineEnergy[i - 1]; 1049 x0 = fSplineEnergy[i - 1];
1128 x1 = fSplineEnergy[i - 2]; 1050 x1 = fSplineEnergy[i - 2];
1129 y0 = fdNdxCerenkov[i - 1]; 1051 y0 = fdNdxCerenkov[i - 1];
1130 yy1 = fdNdxCerenkov[i - 2]; 1052 yy1 = fdNdxCerenkov[i - 2];
1131 1053
1132 //G4cout<<"x0 ="<<x0<<"; x1 = "<<x1 1054 //G4cout<<"x0 ="<<x0<<"; x1 = "<<x1
1133 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4 1055 // <<"; y0 = "<<y0<<"; yy1 = "<<yy1<<G4endl;
1134 1056
1135 c = x1/x0; 1057 c = x1/x0;
1136 d = e0/x0; 1058 d = e0/x0;
1137 a = log10(yy1/y0)/log10(x1/x0); 1059 a = log10(yy1/y0)/log10(x1/x0);
1138 1060
1139 // G4cout << "a= " << a << G4endl; 1061 // G4cout << "a= " << a << G4endl;
>> 1062 if(a < 20.) b = y0/pow(x0,a);
>> 1063
1140 if(a > 20.0) b = 0.0; 1064 if(a > 20.0) b = 0.0;
1141 else b = y0/pow(x0,a); << 1065 else b = y0/pow(x0,a); // pow(10.,b0);
1142 1066
1143 //G4cout << "b= " << b << G4endl; 1067 //G4cout << "b= " << b << G4endl;
1144 1068
1145 a += 1.0; 1069 a += 1.0;
1146 if( a == 0 ) result += b*log(e0/x0); 1070 if( a == 0 ) result += b*log(e0/x0);
1147 else result += y0*(e0*pow(d,a-1) - 1071 else result += y0*(e0*pow(d,a-1) - x0 )/a;
1148 a += 1.0; 1072 a += 1.0;
1149 //G4cout << "result= " << result << G4endl 1073 //G4cout << "result= " << result << G4endl;
1150 1074
1151 if( a == 0 ) fIntegralCerenkov[0] += b*l 1075 if( a == 0 ) fIntegralCerenkov[0] += b*log(e0/x0);
1152 else fIntegralCerenkov[0] += y0* 1076 else fIntegralCerenkov[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
1153 1077
1154 //G4cout<<"a = "<<a<<"; b = "<<b<<"; resul 1078 //G4cout<<"a = "<<a<<"; b = "<<b<<"; result = "<<result<<G4endl;
1155 1079
1156 return result; 1080 return result;
>> 1081
1157 } 1082 }
1158 1083
1159 ///////////////////////////////////////////// 1084 ///////////////////////////////////////////////////////////////////////////////
1160 // 1085 //
1161 // Integration of Plasmon cross-section for t 1086 // Integration of Plasmon cross-section for the case of
1162 // passing across border between intervals 1087 // passing across border between intervals
1163 1088
1164 G4double G4PAIySection::SumOverBordPlasmon( G 1089 G4double G4PAIySection::SumOverBordPlasmon( G4int i ,
1165 1090 G4double en0 )
1166 { 1091 {
1167 G4double x0,x1,y0,yy1,a,c,d,e0,result; 1092 G4double x0,x1,y0,yy1,a,c,d,e0,result;
1168 1093
1169 e0 = en0; 1094 e0 = en0;
1170 x0 = fSplineEnergy[i]; 1095 x0 = fSplineEnergy[i];
1171 x1 = fSplineEnergy[i+1]; 1096 x1 = fSplineEnergy[i+1];
1172 y0 = fdNdxPlasmon[i]; 1097 y0 = fdNdxPlasmon[i];
1173 yy1 = fdNdxPlasmon[i+1]; 1098 yy1 = fdNdxPlasmon[i+1];
1174 1099
1175 c = x1/x0; 1100 c = x1/x0;
1176 d = e0/x0; 1101 d = e0/x0;
1177 a = log10(yy1/y0)/log10(c); 1102 a = log10(yy1/y0)/log10(c);
1178 1103
1179 G4double b = 0.0; 1104 G4double b = 0.0;
1180 if(a < 20.) b = y0/pow(x0,a); 1105 if(a < 20.) b = y0/pow(x0,a);
1181 1106
1182 a += 1.0; 1107 a += 1.0;
1183 if( a == 0 ) result = b*log(x0/e0); 1108 if( a == 0 ) result = b*log(x0/e0);
1184 else result = y0*(x0 - e0*pow(d,a- 1109 else result = y0*(x0 - e0*pow(d,a-1))/a;
1185 a += 1.0; 1110 a += 1.0;
1186 1111
1187 if( a == 0 ) fIntegralPlasmon[0] += b*log( 1112 if( a == 0 ) fIntegralPlasmon[0] += b*log(x0/e0);
1188 else fIntegralPlasmon[0] += y0*(x0 1113 else fIntegralPlasmon[0] += y0*(x0*x0 - e0*e0*pow(d,a-2))/a;
1189 1114
1190 x0 = fSplineEnergy[i - 1]; 1115 x0 = fSplineEnergy[i - 1];
1191 x1 = fSplineEnergy[i - 2]; 1116 x1 = fSplineEnergy[i - 2];
1192 y0 = fdNdxPlasmon[i - 1]; 1117 y0 = fdNdxPlasmon[i - 1];
1193 yy1 = fdNdxPlasmon[i - 2]; 1118 yy1 = fdNdxPlasmon[i - 2];
1194 1119
1195 c = x1/x0; 1120 c = x1/x0;
1196 d = e0/x0; 1121 d = e0/x0;
1197 a = log10(yy1/y0)/log10(c); 1122 a = log10(yy1/y0)/log10(c);
1198 1123
1199 if(a < 20.) b = y0/pow(x0,a); 1124 if(a < 20.) b = y0/pow(x0,a);
1200 1125
1201 a += 1.0; 1126 a += 1.0;
1202 if( a == 0 ) result += b*log(e0/x0); 1127 if( a == 0 ) result += b*log(e0/x0);
1203 else result += y0*(e0*pow(d,a-1) - 1128 else result += y0*(e0*pow(d,a-1) - x0)/a;
1204 a += 1.0; 1129 a += 1.0;
1205 1130
1206 if( a == 0 ) fIntegralPlasmon[0] += b*lo 1131 if( a == 0 ) fIntegralPlasmon[0] += b*log(e0/x0);
1207 else fIntegralPlasmon[0] += y0*( 1132 else fIntegralPlasmon[0] += y0*(e0*e0*pow(d,a-2) - x0*x0)/a;
1208 1133
1209 return result; 1134 return result;
1210 1135
1211 } 1136 }
1212 1137
1213 ///////////////////////////////////////////// 1138 /////////////////////////////////////////////////////////////////////////
1214 // 1139 //
1215 // 1140 //
1216 1141
1217 G4double G4PAIySection::GetStepEnergyLoss( G4 1142 G4double G4PAIySection::GetStepEnergyLoss( G4double step )
1218 { 1143 {
1219 G4int iTransfer ; 1144 G4int iTransfer ;
1220 G4long numOfCollisions; 1145 G4long numOfCollisions;
1221 G4double loss = 0.0; 1146 G4double loss = 0.0;
1222 G4double meanNumber, position; 1147 G4double meanNumber, position;
1223 1148
1224 // G4cout<<" G4PAIySection::GetStepEnergyLo 1149 // G4cout<<" G4PAIySection::GetStepEnergyLoss "<<G4endl;
1225 1150
1226 1151
1227 1152
1228 meanNumber = fIntegralPAIySection[1]*step; 1153 meanNumber = fIntegralPAIySection[1]*step;
1229 numOfCollisions = G4Poisson(meanNumber); 1154 numOfCollisions = G4Poisson(meanNumber);
1230 1155
1231 // G4cout<<"numOfCollisions = "<<numOfCol 1156 // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
1232 1157
1233 while(numOfCollisions) 1158 while(numOfCollisions)
1234 { 1159 {
1235 position = fIntegralPAIySection[1]*G4Unif 1160 position = fIntegralPAIySection[1]*G4UniformRand();
1236 1161
1237 for( iTransfer=1; iTransfer<=fSplineNumbe 1162 for( iTransfer=1; iTransfer<=fSplineNumber; iTransfer++ )
1238 { 1163 {
1239 if( position >= fIntegralPAIySection[ 1164 if( position >= fIntegralPAIySection[iTransfer] ) break;
1240 } 1165 }
1241 loss += fSplineEnergy[iTransfer] ; 1166 loss += fSplineEnergy[iTransfer] ;
1242 numOfCollisions--; 1167 numOfCollisions--;
1243 // Loop checking, 03-Aug-2015, Vladimir I <<
1244 } 1168 }
1245 // G4cout<<"PAI energy loss = "<<loss/keV<< 1169 // G4cout<<"PAI energy loss = "<<loss/keV<<" keV"<<G4endl;
1246 1170
1247 return loss; 1171 return loss;
1248 } 1172 }
1249 1173
1250 ///////////////////////////////////////////// 1174 /////////////////////////////////////////////////////////////////////////
1251 // 1175 //
1252 // 1176 //
1253 1177
1254 G4double G4PAIySection::GetStepCerenkovLoss( 1178 G4double G4PAIySection::GetStepCerenkovLoss( G4double step )
1255 { 1179 {
1256 G4int iTransfer ; 1180 G4int iTransfer ;
1257 G4long numOfCollisions; 1181 G4long numOfCollisions;
1258 G4double loss = 0.0; 1182 G4double loss = 0.0;
1259 G4double meanNumber, position; 1183 G4double meanNumber, position;
1260 1184
1261 // G4cout<<" G4PAIySection::GetStepCreLosnk 1185 // G4cout<<" G4PAIySection::GetStepCreLosnkovs "<<G4endl;
1262 1186
1263 1187
1264 1188
1265 meanNumber = fIntegralCerenkov[1]*step; 1189 meanNumber = fIntegralCerenkov[1]*step;
1266 numOfCollisions = G4Poisson(meanNumber); 1190 numOfCollisions = G4Poisson(meanNumber);
1267 1191
1268 // G4cout<<"numOfCollisions = "<<numOfCol 1192 // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
1269 1193
1270 while(numOfCollisions) 1194 while(numOfCollisions)
1271 { 1195 {
1272 position = fIntegralCerenkov[1]*G4Uniform 1196 position = fIntegralCerenkov[1]*G4UniformRand();
1273 1197
1274 for( iTransfer=1; iTransfer<=fSplineNumbe 1198 for( iTransfer=1; iTransfer<=fSplineNumber; iTransfer++ )
1275 { 1199 {
1276 if( position >= fIntegralCerenkov[iTr 1200 if( position >= fIntegralCerenkov[iTransfer] ) break;
1277 } 1201 }
1278 loss += fSplineEnergy[iTransfer] ; 1202 loss += fSplineEnergy[iTransfer] ;
1279 numOfCollisions--; 1203 numOfCollisions--;
1280 // Loop checking, 03-Aug-2015, Vladimir I <<
1281 } 1204 }
1282 // G4cout<<"PAI Cerenkov loss = "<<loss/keV 1205 // G4cout<<"PAI Cerenkov loss = "<<loss/keV<<" keV"<<G4endl;
1283 1206
1284 return loss; 1207 return loss;
1285 } 1208 }
1286 1209
1287 ///////////////////////////////////////////// 1210 /////////////////////////////////////////////////////////////////////////
1288 // 1211 //
1289 // 1212 //
1290 1213
1291 G4double G4PAIySection::GetStepPlasmonLoss( G 1214 G4double G4PAIySection::GetStepPlasmonLoss( G4double step )
1292 { 1215 {
1293 G4int iTransfer ; 1216 G4int iTransfer ;
1294 G4long numOfCollisions; 1217 G4long numOfCollisions;
1295 G4double loss = 0.0; 1218 G4double loss = 0.0;
1296 G4double meanNumber, position; 1219 G4double meanNumber, position;
1297 1220
1298 // G4cout<<" G4PAIySection::GetStepCreLosnk 1221 // G4cout<<" G4PAIySection::GetStepCreLosnkovs "<<G4endl;
1299 1222
1300 1223
1301 1224
1302 meanNumber = fIntegralPlasmon[1]*step; 1225 meanNumber = fIntegralPlasmon[1]*step;
1303 numOfCollisions = G4Poisson(meanNumber); 1226 numOfCollisions = G4Poisson(meanNumber);
1304 1227
1305 // G4cout<<"numOfCollisions = "<<numOfCol 1228 // G4cout<<"numOfCollisions = "<<numOfCollisions<<G4endl;
1306 1229
1307 while(numOfCollisions) 1230 while(numOfCollisions)
1308 { 1231 {
1309 position = fIntegralPlasmon[1]*G4UniformR 1232 position = fIntegralPlasmon[1]*G4UniformRand();
1310 1233
1311 for( iTransfer=1; iTransfer<=fSplineNumbe 1234 for( iTransfer=1; iTransfer<=fSplineNumber; iTransfer++ )
1312 { 1235 {
1313 if( position >= fIntegralPlasmon[iTra 1236 if( position >= fIntegralPlasmon[iTransfer] ) break;
1314 } 1237 }
1315 loss += fSplineEnergy[iTransfer] ; 1238 loss += fSplineEnergy[iTransfer] ;
1316 numOfCollisions--; 1239 numOfCollisions--;
1317 // Loop checking, 03-Aug-2015, Vladimir I <<
1318 } 1240 }
1319 // G4cout<<"PAI Plasmon loss = "<<loss/keV< 1241 // G4cout<<"PAI Plasmon loss = "<<loss/keV<<" keV"<<G4endl;
1320 1242
1321 return loss; 1243 return loss;
1322 } 1244 }
1323 1245
1324 ///////////////////////////////////////////// <<
1325 // <<
1326 1246
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 1247
1335 ///////////////////////////////////////////// 1248 /////////////////////////////////////////////////////////////////////////////
1336 // 1249 //
1337 // Init array of Lorentz factors 1250 // Init array of Lorentz factors
1338 // 1251 //
1339 1252
1340 G4int G4PAIySection::fNumberOfGammas = 111; 1253 G4int G4PAIySection::fNumberOfGammas = 111;
1341 1254
1342 const G4double G4PAIySection::fLorentzFactor[ 1255 const G4double G4PAIySection::fLorentzFactor[112] = // fNumberOfGammas+1
1343 { 1256 {
1344 0.0, 1257 0.0,
1345 1.094989e+00, 1.107813e+00, 1.122369e+00, 1.1 1258 1.094989e+00, 1.107813e+00, 1.122369e+00, 1.138890e+00, 1.157642e+00,
1346 1.178925e+00, 1.203082e+00, 1.230500e+00, 1.2 1259 1.178925e+00, 1.203082e+00, 1.230500e+00, 1.261620e+00, 1.296942e+00, // 10
1347 1.337032e+00, 1.382535e+00, 1.434181e+00, 1.4 1260 1.337032e+00, 1.382535e+00, 1.434181e+00, 1.492800e+00, 1.559334e+00,
1348 1.634850e+00, 1.720562e+00, 1.817845e+00, 1.9 1261 1.634850e+00, 1.720562e+00, 1.817845e+00, 1.928263e+00, 2.053589e+00, // 20
1349 2.195835e+00, 2.357285e+00, 2.540533e+00, 2.7 1262 2.195835e+00, 2.357285e+00, 2.540533e+00, 2.748522e+00, 2.984591e+00,
1350 3.252533e+00, 3.556649e+00, 3.901824e+00, 4.2 1263 3.252533e+00, 3.556649e+00, 3.901824e+00, 4.293602e+00, 4.738274e+00, // 30
1351 5.242981e+00, 5.815829e+00, 6.466019e+00, 7.2 1264 5.242981e+00, 5.815829e+00, 6.466019e+00, 7.203990e+00, 8.041596e+00,
1352 8.992288e+00, 1.007133e+01, 1.129606e+01, 1.2 1265 8.992288e+00, 1.007133e+01, 1.129606e+01, 1.268614e+01, 1.426390e+01, // 40
1353 1.605467e+01, 1.808721e+01, 2.039417e+01, 2.3 1266 1.605467e+01, 1.808721e+01, 2.039417e+01, 2.301259e+01, 2.598453e+01,
1354 2.935771e+01, 3.318630e+01, 3.753180e+01, 4.2 1267 2.935771e+01, 3.318630e+01, 3.753180e+01, 4.246399e+01, 4.806208e+01, // 50
1355 5.441597e+01, 6.162770e+01, 6.981310e+01, 7.9 1268 5.441597e+01, 6.162770e+01, 6.981310e+01, 7.910361e+01, 8.964844e+01,
1356 1.016169e+02, 1.152013e+02, 1.306197e+02, 1.4 1269 1.016169e+02, 1.152013e+02, 1.306197e+02, 1.481198e+02, 1.679826e+02, // 60
1357 1.905270e+02, 2.161152e+02, 2.451581e+02, 2.7 1270 1.905270e+02, 2.161152e+02, 2.451581e+02, 2.781221e+02, 3.155365e+02,
1358 3.580024e+02, 4.062016e+02, 4.609081e+02, 5.2 1271 3.580024e+02, 4.062016e+02, 4.609081e+02, 5.230007e+02, 5.934765e+02, // 70
1359 6.734672e+02, 7.642575e+02, 8.673056e+02, 9.8 1272 6.734672e+02, 7.642575e+02, 8.673056e+02, 9.842662e+02, 1.117018e+03,
1360 1.267692e+03, 1.438709e+03, 1.632816e+03, 1.8 1273 1.267692e+03, 1.438709e+03, 1.632816e+03, 1.853128e+03, 2.103186e+03, // 80
1361 2.387004e+03, 2.709140e+03, 3.074768e+03, 3.4 1274 2.387004e+03, 2.709140e+03, 3.074768e+03, 3.489760e+03, 3.960780e+03,
1362 4.495394e+03, 5.102185e+03, 5.790900e+03, 6.5 1275 4.495394e+03, 5.102185e+03, 5.790900e+03, 6.572600e+03, 7.459837e+03, // 90
1363 8.466860e+03, 9.609843e+03, 1.090714e+04, 1.2 1276 8.466860e+03, 9.609843e+03, 1.090714e+04, 1.237959e+04, 1.405083e+04,
1364 1.594771e+04, 1.810069e+04, 2.054434e+04, 2.3 1277 1.594771e+04, 1.810069e+04, 2.054434e+04, 2.331792e+04, 2.646595e+04, // 100
1365 3.003901e+04, 3.409446e+04, 3.869745e+04, 4.3 1278 3.003901e+04, 3.409446e+04, 3.869745e+04, 4.392189e+04, 4.985168e+04,
1366 5.658206e+04, 6.422112e+04, 7.289153e+04, 8.2 1279 5.658206e+04, 6.422112e+04, 7.289153e+04, 8.273254e+04, 9.390219e+04, // 110
1367 1.065799e+05 1280 1.065799e+05
1368 }; 1281 };
1369 1282
1370 ///////////////////////////////////////////// 1283 ///////////////////////////////////////////////////////////////////////
1371 // 1284 //
1372 // The number of gamma for creation of splin 1285 // The number of gamma for creation of spline (near ion-min , G ~ 4 )
1373 // 1286 //
1374 1287
1375 const G4int G4PAIySection::fRefGammaNumber = << 1288 const
>> 1289 G4int G4PAIySection::fRefGammaNumber = 29;
1376 1290
>> 1291
1377 // 1292 //
1378 // end of G4PAIySection implementation file 1293 // end of G4PAIySection implementation file
1379 // 1294 //
1380 ///////////////////////////////////////////// 1295 ////////////////////////////////////////////////////////////////////////////
1381 1296
1382 1297