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26 //
27 //
28 // ------------------------------------------------------------
29 // GEANT 4 class implementation
30 //
31 // ------- GFlashSamplingShowerParameterisation -------
32 //
33 // Authors: E.Barberio & Joanna Weng - 11.2005
34 // ------------------------------------------------------------
35
36 #include <cmath>
37
38 #include "GFlashSamplingShowerParameterisation.hh"
39 #include "GVFlashShowerParameterisation.hh"
40 #include "G4SystemOfUnits.hh"
41 #include "Randomize.hh"
42 #include "G4ios.hh"
43 #include "G4Material.hh"
44 #include "G4MaterialTable.hh"
45
46 GFlashSamplingShowerParameterisation::GFlashSamplingShowerParameterisation(
47 G4Material* aMat1, G4Material* aMat2, G4double dd1, G4double dd2,
48 GFlashSamplingShowerTuning* aPar)
49 : GVFlashShowerParameterisation(),
50 ParAveT2(0.),
51 ParSigLogT1(0.),
52 ParSigLogT2(0.),
53 ParSigLogA1(0.),
54 ParSigLogA2(0.),
55 ParRho1(0.),
56 ParRho2(0.),
57 ParsAveA2(0.),
58 AveLogAlphah(0.),
59 AveLogTmaxh(0.),
60 SigmaLogAlphah(0.),
61 SigmaLogTmaxh(0.),
62 Rhoh(0.),
63 Alphah(0.),
64 Tmaxh(0.),
65 Betah(0.),
66 AveLogAlpha(0.),
67 AveLogTmax(0.),
68 SigmaLogAlpha(0.),
69 SigmaLogTmax(0.),
70 Rho(0.),
71 Alpha(0.),
72 Tmax(0.),
73 Beta(0.)
74 {
75 if (!aPar) {
76 thePar = new GFlashSamplingShowerTuning;
77 }
78 else {
79 thePar = aPar;
80 }
81
82 SetMaterial(aMat1, aMat2);
83 d1 = dd1;
84 d2 = dd2;
85
86 // Longitudinal Coefficients for a homogenious calo
87
88 // shower max
89 ParAveT1 = thePar->ParAveT1(); // ln (ln y -0.812)
90 ParAveA1 = thePar->ParAveA1(); // ln a (0.81 + (0.458 + 2.26/Z)ln y)
91 ParAveA2 = thePar->ParAveA2();
92 ParAveA3 = thePar->ParAveA3();
93 // Variance of shower max sampling
94 ParSigLogT1 =
95 thePar
96 ->ParsSigLogT1(); // Sigma T1 (-1.4 + 1.26 ln y)**-1 --> bug : these two lines were missing,
97 ParSigLogT2 = thePar->ParsSigLogT2(); // leaving ParSigLogT1, ParSigLogT2 as 0.0
98 // variance of 'alpha'
99 ParSigLogA1 =
100 thePar
101 ->ParSigLogA1(); // Sigma a (-0.58 + 0.86 ln y)**-1 --> bug : these two lines were missing
102 ParSigLogA2 = thePar->ParSigLogA2(); // leaving ParSigLogA1 ParSigLogAé as 0.0
103 // correlation alpha%T
104 ParRho1 = thePar->ParRho1(); // Rho = 0.705 -0.023 ln y --> bug : these two lines were missing,
105 ParRho2 = thePar->ParRho2(); // leaving ParRho1 and ParRho2 being 0.0
106 // Sampling
107 ParsAveT1 = thePar->ParsAveT1(); // T_sam = log(exp( log T_hom) + t1*Fs-1 + t2*(1-ehat));
108 ParsAveT2 = thePar->ParsAveT2();
109 ParsAveA1 = thePar->ParsAveA1();
110 // Variance of shower max sampling
111 ParsSigLogT1 = thePar->ParsSigLogT1(); // Sigma T1 (-2.5 + 1.25 ln y)**-1 --> bug ParSigLogT1()
112 // was called instead of ParsSigLogT1(); Same for T2.
113 ParsSigLogT2 = thePar->ParsSigLogT2();
114 // variance of 'alpha'
115 ParsSigLogA1 = thePar->ParsSigLogA1(); // Sigma a (-0.82 + 0.79 ln y)**-1 --> bug ParSigLogA1()
116 // was called instead of ParsSigLogA1(); Same for A2
117 ParsSigLogA2 = thePar->ParsSigLogA2();
118 // correlation alpha%T
119 ParsRho1 =
120 thePar->ParsRho1(); // Rho = 0.784 -0.023 ln y --> bug was using ParRho1() and ParRho2()
121 ParsRho2 = thePar->ParsRho2();
122
123 // Radial Coefficients
124 // r_C (tau)= z_1 +z_2 tau
125 // r_t (tau)= k1 (std::exp (k3(tau -k2 ))+std::exp (k_4 (tau- k_2))))
126 ParRC1 = thePar->ParRC1(); // z_1 = 0.0251 + 0.00319 ln E
127 ParRC2 = thePar->ParRC2();
128 ParRC3 = thePar->ParRC3(); // z_2 = 0.1162 + - 0.000381 Z
129 ParRC4 = thePar->ParRC4();
130
131 ParWC1 = thePar->ParWC1();
132 ParWC2 = thePar->ParWC2();
133 ParWC3 = thePar->ParWC3();
134 ParWC4 = thePar->ParWC4();
135 ParWC5 = thePar->ParWC5();
136 ParWC6 = thePar->ParWC6();
137 ParRT1 = thePar->ParRT1();
138 ParRT2 = thePar->ParRT2();
139 ParRT3 = thePar->ParRT3();
140 ParRT4 = thePar->ParRT4();
141 ParRT5 = thePar->ParRT5();
142 ParRT6 = thePar->ParRT6();
143
144 // additional sampling parameter
145 ParsRC1 = thePar->ParsRC1();
146 ParsRC2 = thePar->ParsRC2();
147 ParsWC1 = thePar->ParsWC1();
148 ParsWC2 = thePar->ParsWC2();
149 ParsRT1 = thePar->ParsRT1();
150 ParsRT2 = thePar->ParsRT2();
151
152 // Coeff for fluctuedted radial profiles for a sampling media
153 ParsSpotT1 = thePar->ParSpotT1(); // T_spot = T_hom =(0.698 + 0.00212)
154 ParsSpotT2 = thePar->ParSpotT2();
155 ParsSpotA1 = thePar->ParSpotA1(); // a_spot= a_hom (0.639 + 0.00334)
156 ParsSpotA2 = thePar->ParSpotA2();
157 ParsSpotN1 = thePar->ParSpotN1(); // N_Spot 93 * ln(Z) E ** 0.876
158 ParsSpotN2 = thePar->ParSpotN2();
159 SamplingResolution = thePar->SamplingResolution();
160 ConstantResolution = thePar->ConstantResolution();
161 NoiseResolution = thePar->NoiseResolution();
162
163 // Inits
164 NSpot = 0.00;
165 AlphaNSpot = 0.00;
166 TNSpot = 0.00;
167 BetaNSpot = 0.00;
168 RadiusCore = 0.00;
169 WeightCore = 0.00;
170 RadiusTail = 0.00;
171 ComputeZAX0EFFetc();
172
173 G4cout << "/********************************************/ " << G4endl;
174 G4cout << " - GFlashSamplingShowerParameterisation::Constructor - " << G4endl;
175 G4cout << "/********************************************/ " << G4endl;
176 }
177
178 // ------------------------------------------------------------
179
180 GFlashSamplingShowerParameterisation::~GFlashSamplingShowerParameterisation()
181 {
182 delete thePar;
183 }
184
185 // ------------------------------------------------------------
186
187 void GFlashSamplingShowerParameterisation::SetMaterial(G4Material* mat1, G4Material* mat2)
188 {
189 const G4double Es = 21.2 * MeV;
190 material1 = mat1;
191 Z1 = GetEffZ(material1);
192 A1 = GetEffA(material1);
193 density1 = material1->GetDensity();
194 X01 = material1->GetRadlen();
195 Ec1 = 2.66 * std::pow((X01 * Z1 / A1), 1.1);
196 // Ec1 = 610.0 * MeV / (Z1 + 1.24);
197 Rm1 = X01 * Es / Ec1;
198
199 material2 = mat2;
200 Z2 = GetEffZ(material2);
201 A2 = GetEffA(material2);
202 density2 = material2->GetDensity();
203 X02 = material2->GetRadlen();
204 Ec2 = 2.66 * std::pow((X02 * Z2 / A2), 1.1);
205 // Ec2 = 610.0 * MeV / (Z2 + 1.24);
206 Rm2 = X02 * Es / Ec2;
207 // PrintMaterial();
208 }
209
210 // ------------------------------------------------------------
211
212 void GFlashSamplingShowerParameterisation::ComputeZAX0EFFetc()
213 {
214 G4cout << "/************ ComputeZAX0EFFetc ************/" << G4endl;
215 G4cout << " - GFlashSamplingShowerParameterisation::Material - " << G4endl;
216
217 const G4double Es = 21.2 * MeV;
218
219 // material and geometry parameters for a sampling calorimeter
220 G4double denominator = (d1 * density1 + d2 * density2);
221 G4double W1 = (d1 * density1) / denominator;
222 G4double W2 = (d2 * density2) / denominator;
223 Zeff = (W1 * Z1) + (W2 * Z2); // X0*Es/Ec;
224 Aeff = (W1 * A1) + (W2 * A2);
225 Rhoeff = ((d1 * density1) + (d2 * density2)) / (d1 + d2); // --> was G4double ( d2 + d1 );
226 X0eff = (W1 * Rhoeff) / (X01 * density1) + (W2 * Rhoeff) / (X02 * density2);
227 X0eff = 1. / X0eff;
228 Rmeff = 1. / ((((W1 * Ec1) / X01) + ((W2 * Ec2) / X02)) / Es);
229 Eceff = X0eff * ((W1 * Ec1) / X01 + (W2 * Ec2) / X02);
230 Fs = X0eff / (d1 + d2); // --> was G4double ((d1/mm )+(d2/mm) ); Can't understand if dividing by
231 // mm makes sense... looks weird.
232 ehat = (1. / (1 + 0.007 * (Z1 - Z2)));
233
234 G4cout << "W1= " << W1 << G4endl;
235 G4cout << "W2= " << W2 << G4endl;
236 G4cout << "effective quantities Zeff = " << Zeff << G4endl;
237 G4cout << "effective quantities Aeff = " << Aeff << G4endl;
238 G4cout << "effective quantities Rhoeff = " << Rhoeff / g * cm3 << " g/cm3" << G4endl;
239 G4cout << "effective quantities X0eff = " << X0eff / cm << " cm" << G4endl;
240
241 X0eff = X0eff * Rhoeff;
242
243 G4cout << "effective quantities X0eff = " << X0eff / g * cm2 << " g/cm2" << G4endl;
244 X0eff = X0eff / Rhoeff;
245 G4cout << "effective quantities RMeff = " << Rmeff / cm << " cm" << G4endl;
246 Rmeff = Rmeff * Rhoeff;
247 G4cout << "effective quantities RMeff = " << Rmeff / g * cm2 << " g/cm2" << G4endl;
248 Rmeff = Rmeff / Rhoeff;
249 G4cout << "effective quantities Eceff = " << Eceff / MeV << " MeV" << G4endl;
250 G4cout << "effective quantities Fs = " << Fs << G4endl;
251 G4cout << "effective quantities ehat = " << ehat << G4endl;
252 G4cout << "/********************************************/ " << G4endl;
253 }
254
255 // ------------------------------------------------------------
256
257 void GFlashSamplingShowerParameterisation::GenerateLongitudinalProfile(G4double Energy)
258 {
259 if ((material1 == 0) || (material2 == 0)) {
260 G4Exception("GFlashSamplingShowerParameterisation::GenerateLongitudinalProfile()",
261 "InvalidSetup", FatalException, "No material initialized!");
262 }
263 G4double y = Energy / Eceff;
264 ComputeLongitudinalParameters(y);
265 GenerateEnergyProfile(y);
266 GenerateNSpotProfile(y);
267 }
268
269 // ------------------------------------------------------------
270
271 void GFlashSamplingShowerParameterisation::ComputeLongitudinalParameters(G4double y)
272 {
273 AveLogTmaxh = std::log(std::max(ParAveT1 + std::log(y), 0.1)); // ok
274 AveLogAlphah =
275 std::log(std::max(ParAveA1 + (ParAveA2 + ParAveA3 / Zeff) * std::log(y), 0.1)); // ok
276 // hom
277 SigmaLogTmaxh = std::min(0.5, 1.00 / (ParSigLogT1 + ParSigLogT2 * std::log(y))); // ok
278 SigmaLogAlphah = std::min(0.5, 1.00 / (ParSigLogA1 + ParSigLogA2 * std::log(y))); // ok
279 Rhoh = ParRho1 + ParRho2 * std::log(y); // ok
280 // if sampling
281 AveLogTmax =
282 std::max(0.1, std::log(std::exp(AveLogTmaxh) + ParsAveT1 / Fs + ParsAveT2 * (1 - ehat))); // ok
283 AveLogAlpha = std::max(0.1, std::log(std::exp(AveLogAlphah) + ParsAveA1 / Fs)); // ok
284 //
285 SigmaLogTmax = std::min(0.5, 1.00 / (ParsSigLogT1 + ParsSigLogT2 * std::log(y))); // ok
286 SigmaLogAlpha = std::min(0.5, 1.00 / (ParsSigLogA1 + ParsSigLogA2 * std::log(y))); // ok
287 Rho = ParsRho1 + ParsRho2 * std::log(y); // ok
288
289 if (0) {
290 G4cout << " y = " << y << G4endl;
291 G4cout << " std::log(std::exp(AveLogTmaxh) + ParsAveT1/Fs + ParsAveT2*(1-ehat)) = "
292 << " std::log(" << std::exp(AveLogTmaxh) << " + " << ParsAveT1 / Fs << " + "
293 << ParsAveT2 * (1 - ehat) << ") = "
294 << " std::log(" << std::exp(AveLogTmaxh) << " + " << ParsAveT1 << "/" << Fs << " + "
295 << ParsAveT2 << "*" << (1 - ehat) << ") = "
296 << " std::log(" << std::exp(AveLogTmaxh) + ParsAveT1 / Fs + ParsAveT2 * (1 - ehat) << ")"
297 << G4endl;
298 G4cout << " AveLogTmaxh " << AveLogTmaxh << G4endl;
299 G4cout << " AveLogAlphah " << AveLogAlphah << G4endl;
300 G4cout << " SigmaLogTmaxh " << SigmaLogTmaxh << G4endl;
301 G4cout << " 1.00/( ParSigLogT1 + ParSigLogT2*std::log(y) ) = " << 1.00 << "/"
302 << (ParSigLogT1 + ParSigLogT2 * std::log(y)) << " = " << 1.00 << "/" << "("
303 << ParSigLogT1 << " + " << ParSigLogT2 * std::log(y) << " ) = " << 1.00 << "/" << "("
304 << ParSigLogT1 << " + " << ParSigLogT2 << "*" << std::log(y) << " ) " << G4endl;
305 G4cout << " SigmaLogAlphah " << SigmaLogAlphah << G4endl;
306 G4cout << " Rhoh " << Rhoh << G4endl;
307 G4cout << " AveLogTmax " << AveLogTmax << G4endl;
308 G4cout << " AveLogAlpha " << AveLogAlpha << G4endl;
309 G4cout << " SigmaLogTmax " << SigmaLogTmax << G4endl;
310 G4cout << " SigmaLogAlpha " << SigmaLogAlpha << G4endl;
311 G4cout << " Rho " << Rho << G4endl;
312 }
313 }
314
315 // ------------------------------------------------------------
316
317 void GFlashSamplingShowerParameterisation::GenerateEnergyProfile(G4double /* y */)
318 {
319 G4double Correlation1 = std::sqrt((1 + Rho) / 2);
320 G4double Correlation2 = std::sqrt((1 - Rho) / 2);
321 G4double Correlation1h = std::sqrt((1 + Rhoh) / 2);
322 G4double Correlation2h = std::sqrt((1 - Rhoh) / 2);
323 G4double Random1 = G4RandGauss::shoot();
324 G4double Random2 = G4RandGauss::shoot();
325
326 Tmax = std::max(
327 1., std::exp(AveLogTmax + SigmaLogTmax * (Correlation1 * Random1 + Correlation2 * Random2)));
328 Alpha = std::max(
329 1.1, std::exp(AveLogAlpha + SigmaLogAlpha * (Correlation1 * Random1 - Correlation2 * Random2)));
330 Beta = (Alpha - 1.00) / Tmax;
331 // Parameters for Enenrgy Profile including correaltion and sigmas
332 Tmaxh =
333 std::exp(AveLogTmaxh + SigmaLogTmaxh * (Correlation1h * Random1 + Correlation2h * Random2));
334 Alphah =
335 std::exp(AveLogAlphah + SigmaLogAlphah * (Correlation1h * Random1 - Correlation2h * Random2));
336 Betah = (Alphah - 1.00) / Tmaxh;
337 }
338
339 // ------------------------------------------------------------
340
341 void GFlashSamplingShowerParameterisation::GenerateNSpotProfile(const G4double y)
342 {
343 TNSpot = Tmaxh * (ParsSpotT1 + ParsSpotT2 * Zeff); // ok.
344 TNSpot = std::max(0.5, Tmaxh * (ParsSpotT1 + ParsSpotT2 * Zeff));
345 AlphaNSpot = Alphah * (ParsSpotA1 + ParsSpotA2 * Zeff);
346 BetaNSpot = (AlphaNSpot - 1.00) / TNSpot; // ok
347 NSpot = ParsSpotN1 / SamplingResolution * std::pow(y * Eceff / GeV, ParsSpotN2);
348 }
349
350 // ------------------------------------------------------------
351
352 G4double GFlashSamplingShowerParameterisation::ApplySampling(const G4double DEne, const G4double)
353 {
354 G4double DEneFluctuated = DEne;
355 G4double Resolution = std::pow(SamplingResolution, 2);
356
357 // +pow(NoiseResolution,2)/ //@@@@@@@@ FIXME
358 // Energy*(1.*MeV)+
359 // pow(ConstantResolution,2)*
360 // Energy/(1.*MeV);
361
362 if (Resolution > 0.0 && DEne > 0.00) {
363 // G4float x1 = DEne / Resolution;
364 // G4float x2 = G4RandGamma::shoot(x1, 1.0) * Resolution;
365 // DEneFluctuated = x2;
366 G4double x1 = DEne / Resolution;
367 G4double x2 = 1.0 / Resolution;
368 DEneFluctuated = G4RandGamma::shoot(x1, x2);
369 }
370 return DEneFluctuated;
371 }
372
373 // ------------------------------------------------------------
374
375 G4double GFlashSamplingShowerParameterisation::
376 IntegrateEneLongitudinal(G4double LongitudinalStep)
377 {
378 G4double LongitudinalStepInX0 = LongitudinalStep / X0eff;
379 G4float x1= Betah*LongitudinalStepInX0;
380 G4float x2= Alphah;
381 float x3 = gam(x1,x2);
382 G4double DEne=x3;
383 return DEne;
384 }
385
386 // ------------------------------------------------------------
387
388 G4double GFlashSamplingShowerParameterisation::IntegrateNspLongitudinal(G4double LongitudinalStep)
389 {
390 G4double LongitudinalStepInX0 = LongitudinalStep / X0eff;
391 G4float x1 = BetaNSpot * LongitudinalStepInX0;
392 G4float x2 = AlphaNSpot;
393 G4float x3 = gam(x1, x2);
394 G4double DNsp = x3;
395 return DNsp;
396 }
397
398 // ------------------------------------------------------------
399
400 G4double GFlashSamplingShowerParameterisation::GenerateRadius(G4int ispot, G4double Energy,
401 G4double LongitudinalPosition)
402 {
403 if (ispot < 1) {
404 // Determine lateral parameters in the middle of the step.
405 // They depend on energy & position along step
406 //
407 G4double Tau = ComputeTau(LongitudinalPosition);
408 ComputeRadialParameters(Energy, Tau);
409 }
410
411 G4double Radius;
412 G4double Random1 = G4UniformRand();
413 G4double Random2 = G4UniformRand();
414 if (Random1 < WeightCore) // WeightCore = p < w_i
415 {
416 Radius = Rmeff * RadiusCore * std::sqrt(Random2 / (1. - Random2));
417 }
418 else {
419 Radius = Rmeff * RadiusTail * std::sqrt(Random2 / (1. - Random2));
420 }
421 Radius = std::min(Radius, DBL_MAX);
422 return Radius;
423 }
424
425 // ------------------------------------------------------------
426
427 G4double GFlashSamplingShowerParameterisation::ComputeTau(G4double LongitudinalPosition)
428 {
429 G4double tau = LongitudinalPosition / Tmax / X0eff //<t> = T* a /(a - 1)
430 * (Alpha - 1.00) / Alpha * std::exp(AveLogAlpha)
431 / (std::exp(AveLogAlpha) - 1.); // ok
432 return tau;
433 }
434
435 // ------------------------------------------------------------
436
437 void GFlashSamplingShowerParameterisation::ComputeRadialParameters(G4double Energy, G4double Tau)
438 {
439 G4double z1 = ParRC1 + ParRC2 * std::log(Energy / GeV); // ok
440 G4double z2 = ParRC3 + ParRC4 * Zeff; // ok
441 RadiusCore = z1 + z2 * Tau; // ok
442 G4double p1 = ParWC1 + ParWC2 * Zeff; // ok
443 G4double p2 = ParWC3 + ParWC4 * Zeff; // ok
444 G4double p3 = ParWC5 + ParWC6 * std::log(Energy / GeV); // ok
445 WeightCore = p1 * std::exp((p2 - Tau) / p3 - std::exp((p2 - Tau) / p3)); // ok
446
447 G4double k1 = ParRT1 + ParRT2 * Zeff; // ok
448 G4double k2 = ParRT3; // ok
449 G4double k3 = ParRT4; // ok
450 G4double k4 = ParRT5 + ParRT6 * std::log(Energy / GeV); // ok
451
452 RadiusTail = k1 * (std::exp(k3 * (Tau - k2)) + std::exp(k4 * (Tau - k2))); // ok
453
454 // sampling calorimeter
455
456 RadiusCore = RadiusCore + ParsRC1 * (1 - ehat) + ParsRC2 / Fs * std::exp(-Tau); // ok
457 WeightCore =
458 WeightCore + (1 - ehat) * (ParsWC1 + ParsWC2 / Fs * std::exp(-std::pow((Tau - 1.), 2))); // ok
459 RadiusTail = RadiusTail + (1 - ehat) * ParsRT1 + ParsRT2 / Fs * std::exp(-Tau); // ok
460 }
461
462 // ------------------------------------------------------------
463
464 G4double GFlashSamplingShowerParameterisation::
465 GenerateExponential(const G4double /* Energy */ )
466 {
467 G4double ParExp1 = 9./7.*X0eff;
468 G4double random = -ParExp1*G4RandExponential::shoot() ;
469 return random;
470 }
471