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27 // 27 //
28 // ------------------------------------------- 28 // ------------------------------------------------------------
29 // GEANT 4 class implementation 29 // GEANT 4 class implementation
30 // 30 //
31 // ------- GFlashHomoShowerParameterisati 31 // ------- GFlashHomoShowerParameterisation -------
32 // 32 //
33 // Authors: E.Barberio & Joanna Weng - 9.11.20 33 // Authors: E.Barberio & Joanna Weng - 9.11.2004
34 // ------------------------------------------- 34 // ------------------------------------------------------------
35 35
36 #include <cmath> 36 #include <cmath>
37 37
38 #include "GFlashHomoShowerParameterisation.hh" 38 #include "GFlashHomoShowerParameterisation.hh"
39 #include "GVFlashShowerParameterisation.hh" 39 #include "GVFlashShowerParameterisation.hh"
40 #include "G4PhysicalConstants.hh" 40 #include "G4PhysicalConstants.hh"
41 #include "G4SystemOfUnits.hh" 41 #include "G4SystemOfUnits.hh"
42 #include "Randomize.hh" 42 #include "Randomize.hh"
43 #include "G4ios.hh" 43 #include "G4ios.hh"
44 #include "G4Material.hh" 44 #include "G4Material.hh"
45 #include "G4MaterialTable.hh" 45 #include "G4MaterialTable.hh"
46 46
47 GFlashHomoShowerParameterisation::GFlashHomoSh << 47 GFlashHomoShowerParameterisation::
48 << 48 GFlashHomoShowerParameterisation(G4Material * aMat,
>> 49 GVFlashHomoShowerTuning * aPar)
49 : GVFlashShowerParameterisation(), 50 : GVFlashShowerParameterisation(),
50 ConstantResolution(0.), << 51 ConstantResolution(0.), NoiseResolution(0.), SamplingResolution(0.),
51 NoiseResolution(0.), << 52 AveLogAlphah(0.), AveLogTmaxh(0.), SigmaLogAlphah(0.), SigmaLogTmaxh(0.),
52 SamplingResolution(0.), << 53 Rhoh(0.), Alphah(0.), Tmaxh(0.), Betah(0.)
53 AveLogAlphah(0.), <<
54 AveLogTmaxh(0.), <<
55 SigmaLogAlphah(0.), <<
56 SigmaLogTmaxh(0.), <<
57 Rhoh(0.), <<
58 Alphah(0.), <<
59 Tmaxh(0.), <<
60 Betah(0.) <<
61 54
62 { << 55 {
63 if (!aPar) { << 56 if(!aPar) {
64 thePar = new GVFlashHomoShowerTuning; 57 thePar = new GVFlashHomoShowerTuning;
65 } << 58 } else {
66 else { <<
67 thePar = aPar; 59 thePar = aPar;
68 } 60 }
69 61
70 SetMaterial(aMat); 62 SetMaterial(aMat);
71 PrintMaterial(aMat); 63 PrintMaterial(aMat);
72 64
73 /******************************************* 65 /********************************************/
74 /* Homo Calorimeter 66 /* Homo Calorimeter */
75 /******************************************* << 67 /********************************************/
76 // Longitudinal Coefficients for a homogenio 68 // Longitudinal Coefficients for a homogenious calo
77 // shower max 69 // shower max
78 // 70 //
79 ParAveT1 = thePar->ParAveT1(); // ln (ln y << 71 ParAveT1 = thePar->ParAveT1(); // ln (ln y -0.812)
80 ParAveA1 = thePar->ParAveA1(); // ln a (0.8 << 72 ParAveA1 = thePar->ParAveA1(); // ln a (0.81 + (0.458 + 2.26/Z)ln y)
81 ParAveA2 = thePar->ParAveA2(); << 73 ParAveA2 = thePar->ParAveA2();
82 ParAveA3 = thePar->ParAveA3(); << 74 ParAveA3 = thePar->ParAveA3();
83 75
84 // Variance of shower max 76 // Variance of shower max
85 ParSigLogT1 = thePar->ParSigLogT1(); // Sig << 77 ParSigLogT1 = thePar->ParSigLogT1(); // Sigma T1 (-1.4 + 1.26 ln y)**-1
86 ParSigLogT2 = thePar->ParSigLogT2(); 78 ParSigLogT2 = thePar->ParSigLogT2();
87 79
88 // variance of 'alpha' 80 // variance of 'alpha'
89 // 81 //
90 ParSigLogA1 = thePar->ParSigLogA1(); // Sig << 82 ParSigLogA1 = thePar->ParSigLogA1(); // Sigma a (-0.58 + 0.86 ln y)**-1
91 ParSigLogA2 = thePar->ParSigLogA2(); 83 ParSigLogA2 = thePar->ParSigLogA2();
92 84
93 // correlation alpha%T 85 // correlation alpha%T
94 // 86 //
95 ParRho1 = thePar->ParRho1(); // Rho = 0.705 << 87 ParRho1 = thePar->ParRho1(); // Rho = 0.705 -0.023 ln y
96 ParRho2 = thePar->ParRho2(); << 88 ParRho2 = thePar->ParRho2();
97 89
98 // Radial Coefficients 90 // Radial Coefficients
99 // r_C (tau)= z_1 +z_2 tau 91 // r_C (tau)= z_1 +z_2 tau
100 // r_t (tau)= k1 (std::exp (k3(tau -k2 ))+st 92 // r_t (tau)= k1 (std::exp (k3(tau -k2 ))+std::exp (k_4 (tau- k_2))))
101 // 93 //
102 ParRC1 = thePar->ParRC1(); // z_1 = 0.0251 << 94 ParRC1 = thePar->ParRC1(); // z_1 = 0.0251 + 0.00319 ln E
103 ParRC2 = thePar->ParRC2(); << 95 ParRC2 = thePar->ParRC2();
104 96
105 ParRC3 = thePar->ParRC3(); // z_2 = 0.1162 << 97 ParRC3 = thePar->ParRC3(); // z_2 = 0.1162 + - 0.000381 Z
106 ParRC4 = thePar->ParRC4(); << 98 ParRC4 = thePar->ParRC4();
107 99
108 ParWC1 = thePar->ParWC1(); 100 ParWC1 = thePar->ParWC1();
109 ParWC2 = thePar->ParWC2(); 101 ParWC2 = thePar->ParWC2();
110 ParWC3 = thePar->ParWC3(); 102 ParWC3 = thePar->ParWC3();
111 ParWC4 = thePar->ParWC4(); 103 ParWC4 = thePar->ParWC4();
112 ParWC5 = thePar->ParWC5(); << 104 ParWC5 = thePar->ParWC5();
113 ParWC6 = thePar->ParWC6(); 105 ParWC6 = thePar->ParWC6();
114 106
115 ParRT1 = thePar->ParRT1(); 107 ParRT1 = thePar->ParRT1();
116 ParRT2 = thePar->ParRT2(); 108 ParRT2 = thePar->ParRT2();
117 ParRT3 = thePar->ParRT3(); 109 ParRT3 = thePar->ParRT3();
118 ParRT4 = thePar->ParRT4(); << 110 ParRT4 = thePar->ParRT4();
119 ParRT5 = thePar->ParRT5(); 111 ParRT5 = thePar->ParRT5();
120 ParRT6 = thePar->ParRT6(); 112 ParRT6 = thePar->ParRT6();
121 113
122 // Coeff for fluctueted radial profiles for 114 // Coeff for fluctueted radial profiles for a uniform media
123 // 115 //
124 ParSpotT1 = thePar->ParSpotT1(); // T_spot << 116 ParSpotT1 = thePar->ParSpotT1(); // T_spot = T_hom =(0.698 + 0.00212)
125 ParSpotT2 = thePar->ParSpotT2(); << 117 ParSpotT2 = thePar->ParSpotT2();
126 118
127 ParSpotA1 = thePar->ParSpotA1(); // a_spot= << 119 ParSpotA1 = thePar->ParSpotA1(); // a_spot= a_hom (0.639 + 0.00334)
128 ParSpotA2 = thePar->ParSpotA2(); << 120 ParSpotA2 = thePar->ParSpotA2();
129 121
130 ParSpotN1 = thePar->ParSpotN1(); // N_Spot << 122 ParSpotN1 = thePar->ParSpotN1(); // N_Spot 93 * ln(Z) E ** 0.876
131 ParSpotN2 = thePar->ParSpotN2(); << 123 ParSpotN2 = thePar->ParSpotN2();
132 124
133 // Inits 125 // Inits
134 126
135 NSpot = 0.00; << 127 NSpot = 0.00;
136 AlphaNSpot = 0.00; << 128 AlphaNSpot = 0.00;
137 TNSpot = 0.00; << 129 TNSpot = 0.00;
138 BetaNSpot = 0.00; << 130 BetaNSpot = 0.00;
139 << 131
140 RadiusCore = 0.00; << 132 RadiusCore = 0.00;
141 WeightCore = 0.00; << 133 WeightCore = 0.00;
142 RadiusTail = 0.00; << 134 RadiusTail = 0.00;
143 135
144 G4cout << "/******************************** 136 G4cout << "/********************************************/ " << G4endl;
145 G4cout << " - GFlashHomoShowerParameterisat << 137 G4cout << " - GFlashHomoShowerParameterisation::Constructor - " << G4endl;
146 G4cout << "/******************************** 138 G4cout << "/********************************************/ " << G4endl;
147 } 139 }
148 140
149 void GFlashHomoShowerParameterisation::SetMate << 141 void GFlashHomoShowerParameterisation::SetMaterial(G4Material *mat)
150 { 142 {
151 material = mat; << 143 material= mat;
152 Z = GetEffZ(material); 144 Z = GetEffZ(material);
153 A = GetEffA(material); 145 A = GetEffA(material);
154 density = material->GetDensity() / (g / cm3) << 146 density = material->GetDensity()/(g/cm3);
155 X0 = material->GetRadlen(); << 147 X0 = material->GetRadlen();
156 // O. I. Dovzhenkko and A. A. Pommanskii << 148 Ec = 2.66 * std::pow((X0 * Z / A),1.1);
157 Ec = 2.66 * std::pow((X0 * Z / A), 1.1); << 149 G4double Es = 21*MeV;
158 // // Rossi appriximation << 150 Rm = X0*Es/Ec;
159 // Ec = 610.0 * MeV / (Z + 1.24); << 151 // PrintMaterial();
160 const G4double Es = 21.2 * MeV; <<
161 Rm = X0 * Es / Ec; <<
162 // PrintMaterial(); <<
163 } 152 }
164 153
165 GFlashHomoShowerParameterisation::~GFlashHomoS 154 GFlashHomoShowerParameterisation::~GFlashHomoShowerParameterisation()
166 { 155 {
167 delete thePar; 156 delete thePar;
168 } 157 }
169 158
170 void GFlashHomoShowerParameterisation::Generat << 159 void GFlashHomoShowerParameterisation::
>> 160 GenerateLongitudinalProfile(G4double Energy)
171 { 161 {
172 if (material == 0) { << 162 if (material==0)
173 G4Exception("GFlashHomoShowerParameterisat << 163 {
174 FatalException, "No material i << 164 G4Exception("GFlashHomoShowerParameterisation::GenerateLongitudinalProfile()",
>> 165 "InvalidSetup", FatalException, "No material initialized!");
175 } 166 }
176 << 167
177 G4double y = Energy / Ec; << 168 G4double y = Energy/Ec;
178 ComputeLongitudinalParameters(y); << 169 ComputeLongitudinalParameters(y);
179 GenerateEnergyProfile(y); 170 GenerateEnergyProfile(y);
180 GenerateNSpotProfile(y); 171 GenerateNSpotProfile(y);
181 } 172 }
182 173
183 void GFlashHomoShowerParameterisation::Compute << 174 void
>> 175 GFlashHomoShowerParameterisation::ComputeLongitudinalParameters(G4double y)
184 { 176 {
185 AveLogTmaxh = std::log(ParAveT1 + std::log(y << 177 AveLogTmaxh = std::log(ParAveT1 + std::log(y));
186 // ok <ln T hom> << 178 //ok <ln T hom>
187 AveLogAlphah = std::log(ParAveA1 + (ParAveA2 << 179 AveLogAlphah = std::log(ParAveA1 + (ParAveA2+ParAveA3/Z)*std::log(y));
188 // ok <ln alpha hom> << 180 //ok <ln alpha hom>
189 << 181
190 SigmaLogTmaxh = 1.00 / (ParSigLogT1 + ParSig << 182 SigmaLogTmaxh = 1.00/( ParSigLogT1 + ParSigLogT2*std::log(y)) ;
191 // ok sigma (ln T hom) << 183 //ok sigma (ln T hom)
192 SigmaLogAlphah = 1.00 / (ParSigLogA1 + ParSi << 184 SigmaLogAlphah = 1.00/( ParSigLogA1 + ParSigLogA2*std::log(y));
193 // ok sigma (ln alpha hom) << 185 //ok sigma (ln alpha hom)
194 Rhoh = ParRho1 + ParRho2 * std::log(y); // << 186 Rhoh = ParRho1+ParRho2*std::log(y); //ok
195 } 187 }
196 188
197 void GFlashHomoShowerParameterisation::Generat 189 void GFlashHomoShowerParameterisation::GenerateEnergyProfile(G4double /* y */)
198 { << 190 {
199 G4double Correlation1h = std::sqrt((1 + Rhoh << 191 G4double Correlation1h = std::sqrt((1+Rhoh)/2);
200 G4double Correlation2h = std::sqrt((1 - Rhoh << 192 G4double Correlation2h = std::sqrt((1-Rhoh)/2);
201 193
202 G4double Random1 = G4RandGauss::shoot(); 194 G4double Random1 = G4RandGauss::shoot();
203 G4double Random2 = G4RandGauss::shoot(); 195 G4double Random2 = G4RandGauss::shoot();
204 196
205 // Parameters for Enenrgy Profile including << 197 // Parameters for Enenrgy Profile including correaltion and sigmas
206 << 198
207 Tmaxh = << 199 Tmaxh = std::exp( AveLogTmaxh + SigmaLogTmaxh *
208 std::exp(AveLogTmaxh + SigmaLogTmaxh * (Co << 200 (Correlation1h*Random1 + Correlation2h*Random2) );
209 Alphah = << 201 Alphah = std::exp( AveLogAlphah + SigmaLogAlphah *
210 std::exp(AveLogAlphah + SigmaLogAlphah * ( << 202 (Correlation1h*Random1 - Correlation2h*Random2) );
211 Betah = (Alphah - 1.00) / Tmaxh; << 203 Betah = (Alphah-1.00)/Tmaxh;
212 } 204 }
213 205
214 void GFlashHomoShowerParameterisation::Generat 206 void GFlashHomoShowerParameterisation::GenerateNSpotProfile(const G4double y)
215 { 207 {
216 TNSpot = Tmaxh * (ParSpotT1 + ParSpotT2 * Z) << 208 TNSpot = Tmaxh * (ParSpotT1+ParSpotT2*Z); // ok
217 AlphaNSpot = Alphah * (ParSpotA1 + ParSpotA2 << 209 AlphaNSpot = Alphah * (ParSpotA1+ParSpotA2*Z);
218 BetaNSpot = (AlphaNSpot - 1.00) / TNSpot; / << 210 BetaNSpot = (AlphaNSpot-1.00)/TNSpot; // ok
219 NSpot = ParSpotN1 * std::log(Z) * std::pow(( << 211 NSpot = ParSpotN1 * std::log(Z)*std::pow((y*Ec)/GeV,ParSpotN2 ); // ok
220 } 212 }
221 213
222 G4double GFlashHomoShowerParameterisation:: 214 G4double GFlashHomoShowerParameterisation::
223 IntegrateEneLongitudinal(G4double Longitudinal 215 IntegrateEneLongitudinal(G4double LongitudinalStep)
224 { 216 {
225 G4double LongitudinalStepInX0 = Longitudinal 217 G4double LongitudinalStepInX0 = LongitudinalStep / X0;
226 G4float x1= Betah*LongitudinalStepInX0; 218 G4float x1= Betah*LongitudinalStepInX0;
227 G4float x2= Alphah; 219 G4float x2= Alphah;
228 float x3 = gam(x1,x2); 220 float x3 = gam(x1,x2);
229 G4double DEne=x3; 221 G4double DEne=x3;
230 return DEne; 222 return DEne;
231 } 223 }
232 224
233 G4double GFlashHomoShowerParameterisation::Int << 225 G4double GFlashHomoShowerParameterisation::
>> 226 IntegrateNspLongitudinal(G4double LongitudinalStep)
234 { 227 {
235 G4double LongitudinalStepInX0 = Longitudinal << 228 G4double LongitudinalStepInX0 = LongitudinalStep / X0;
236 G4float x1 = BetaNSpot * LongitudinalStepInX << 229 G4float x1 = BetaNSpot*LongitudinalStepInX0;
237 G4float x2 = AlphaNSpot; 230 G4float x2 = AlphaNSpot;
238 G4float x3 = gam(x1, x2); << 231 G4float x3 = gam(x1,x2);
239 G4double DNsp = x3; 232 G4double DNsp = x3;
240 return DNsp; 233 return DNsp;
241 } 234 }
242 235
243 G4double GFlashHomoShowerParameterisation::Gen << 236
244 << 237 G4double GFlashHomoShowerParameterisation::
>> 238 GenerateRadius(G4int ispot, G4double Energy, G4double LongitudinalPosition)
245 { 239 {
246 if (ispot < 1) { << 240 if(ispot < 1)
>> 241 {
247 // Determine lateral parameters in the mid 242 // Determine lateral parameters in the middle of the step.
248 // They depend on energy & position along 243 // They depend on energy & position along step.
249 // 244 //
250 G4double Tau = ComputeTau(LongitudinalPosi 245 G4double Tau = ComputeTau(LongitudinalPosition);
251 ComputeRadialParameters(Energy, Tau); << 246 ComputeRadialParameters(Energy,Tau);
252 } 247 }
253 248
254 G4double Radius; 249 G4double Radius;
255 G4double Random1 = G4UniformRand(); 250 G4double Random1 = G4UniformRand();
256 G4double Random2 = G4UniformRand(); << 251 G4double Random2 = G4UniformRand();
257 252
258 if (Random1 < WeightCore) // WeightCore = p << 253 if(Random1 <WeightCore) //WeightCore = p < w_i
259 { 254 {
260 Radius = Rm * RadiusCore * std::sqrt(Rando << 255 Radius = Rm * RadiusCore * std::sqrt( Random2/(1. - Random2) );
261 } 256 }
262 else { << 257 else
263 Radius = Rm * RadiusTail * std::sqrt(Rando << 258 {
264 } << 259 Radius = Rm * RadiusTail * std::sqrt( Random2/(1. - Random2) );
265 Radius = std::min(Radius, DBL_MAX); << 260 }
>> 261 Radius = std::min(Radius,DBL_MAX);
266 return Radius; 262 return Radius;
267 } 263 }
268 264
269 G4double GFlashHomoShowerParameterisation::Com << 265 G4double GFlashHomoShowerParameterisation::
>> 266 ComputeTau(G4double LongitudinalPosition)
270 { 267 {
271 G4double tau = LongitudinalPosition / Tmaxh << 268 G4double tau = LongitudinalPosition / Tmaxh / X0 //<t> = T* a /(a - 1)
272 * (Alphah - 1.00) / Alphah * << 269 * (Alphah-1.00) /Alphah *
273 / (std::exp(AveLogAlphah) - 1 << 270 std::exp(AveLogAlphah)/(std::exp(AveLogAlphah)-1.); //ok
274 return tau; 271 return tau;
275 } 272 }
276 273
277 void GFlashHomoShowerParameterisation::Compute << 274 void GFlashHomoShowerParameterisation::
>> 275 ComputeRadialParameters(G4double Energy, G4double Tau)
278 { 276 {
279 G4double z1 = ParRC1 + ParRC2 * std::log(Ene << 277 G4double z1 = ParRC1 + ParRC2* std::log(Energy/GeV) ; //ok
280 G4double z2 = ParRC3 + ParRC4 * Z; // ok << 278 G4double z2 = ParRC3+ParRC4*Z ; //ok
281 RadiusCore = z1 + z2 * Tau; // ok << 279 RadiusCore = z1 + z2 * Tau ; //ok
282 << 280
283 G4double p1 = ParWC1 + ParWC2 * Z; // ok << 281 G4double p1 = ParWC1+ParWC2*Z; //ok
284 G4double p2 = ParWC3 + ParWC4 * Z; // ok << 282 G4double p2 = ParWC3+ParWC4*Z; //ok
285 G4double p3 = ParWC5 + ParWC6 * std::log(Ene << 283 G4double p3 = ParWC5+ParWC6*std::log(Energy/GeV); //ok
286 << 284
287 WeightCore = p1 * std::exp((p2 - Tau) / p3 - << 285 WeightCore = p1 * std::exp( (p2-Tau)/p3 - std::exp( (p2-Tau) /p3) ); //ok
288 << 286
289 G4double k1 = ParRT1 + ParRT2 * Z; // ok << 287 G4double k1 = ParRT1+ParRT2*Z; // ok
290 G4double k2 = ParRT3; // ok << 288 G4double k2 = ParRT3; // ok
291 G4double k3 = ParRT4; // ok << 289 G4double k3 = ParRT4; // ok
292 G4double k4 = ParRT5 + ParRT6 * std::log(Ene << 290 G4double k4 = ParRT5+ParRT6* std::log(Energy/GeV); // ok
293 291
294 RadiusTail = k1 * (std::exp(k3 * (Tau - k2)) << 292 RadiusTail = k1*(std::exp(k3*(Tau-k2)) +
>> 293 std::exp(k4*(Tau-k2)) ); //ok
295 } 294 }
296 295
297 G4double GFlashHomoShowerParameterisation:: 296 G4double GFlashHomoShowerParameterisation::
298 GenerateExponential(const G4double /* Energy * 297 GenerateExponential(const G4double /* Energy */ )
299 { 298 {
300 G4double ParExp1 = 9./7.*X0; 299 G4double ParExp1 = 9./7.*X0;
301 G4double random = -ParExp1*G4RandExponentia 300 G4double random = -ParExp1*G4RandExponential::shoot() ;
302 return random; 301 return random;
303 } 302 }
304 303