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25 // 25 //
26 // 26 //
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
54 AveLogTmaxh(0.), << 55 {
55 SigmaLogAlphah(0.), << 56 if(!aPar) { thePar = new GVFlashHomoShowerTuning; owning = true; }
56 SigmaLogTmaxh(0.), << 57 else { thePar = aPar; owning = false; }
57 Rhoh(0.), <<
58 Alphah(0.), <<
59 Tmaxh(0.), <<
60 Betah(0.) <<
61 <<
62 { <<
63 if (!aPar) { <<
64 thePar = new GVFlashHomoShowerTuning; <<
65 } <<
66 else { <<
67 thePar = aPar; <<
68 } <<
69 58
70 SetMaterial(aMat); 59 SetMaterial(aMat);
71 PrintMaterial(aMat); 60 PrintMaterial(aMat);
72 61
73 /******************************************* 62 /********************************************/
74 /* Homo Calorimeter 63 /* Homo Calorimeter */
75 /******************************************* << 64 /********************************************/
76 // Longitudinal Coefficients for a homogenio 65 // Longitudinal Coefficients for a homogenious calo
77 // shower max 66 // shower max
78 // 67 //
79 ParAveT1 = thePar->ParAveT1(); // ln (ln y << 68 ParAveT1 = thePar->ParAveT1(); // ln (ln y -0.812)
80 ParAveA1 = thePar->ParAveA1(); // ln a (0.8 << 69 ParAveA1 = thePar->ParAveA1(); // ln a (0.81 + (0.458 + 2.26/Z)ln y)
81 ParAveA2 = thePar->ParAveA2(); << 70 ParAveA2 = thePar->ParAveA2();
82 ParAveA3 = thePar->ParAveA3(); << 71 ParAveA3 = thePar->ParAveA3();
83 72
84 // Variance of shower max 73 // Variance of shower max
85 ParSigLogT1 = thePar->ParSigLogT1(); // Sig << 74 ParSigLogT1 = thePar->ParSigLogT1(); // Sigma T1 (-1.4 + 1.26 ln y)**-1
86 ParSigLogT2 = thePar->ParSigLogT2(); 75 ParSigLogT2 = thePar->ParSigLogT2();
87 76
88 // variance of 'alpha' 77 // variance of 'alpha'
89 // 78 //
90 ParSigLogA1 = thePar->ParSigLogA1(); // Sig << 79 ParSigLogA1 = thePar->ParSigLogA1(); // Sigma a (-0.58 + 0.86 ln y)**-1
91 ParSigLogA2 = thePar->ParSigLogA2(); 80 ParSigLogA2 = thePar->ParSigLogA2();
92 81
93 // correlation alpha%T 82 // correlation alpha%T
94 // 83 //
95 ParRho1 = thePar->ParRho1(); // Rho = 0.705 << 84 ParRho1 = thePar->ParRho1(); // Rho = 0.705 -0.023 ln y
96 ParRho2 = thePar->ParRho2(); << 85 ParRho2 = thePar->ParRho2();
97 86
98 // Radial Coefficients 87 // Radial Coefficients
99 // r_C (tau)= z_1 +z_2 tau 88 // r_C (tau)= z_1 +z_2 tau
100 // r_t (tau)= k1 (std::exp (k3(tau -k2 ))+st 89 // r_t (tau)= k1 (std::exp (k3(tau -k2 ))+std::exp (k_4 (tau- k_2))))
101 // 90 //
102 ParRC1 = thePar->ParRC1(); // z_1 = 0.0251 << 91 ParRC1 = thePar->ParRC1(); // z_1 = 0.0251 + 0.00319 ln E
103 ParRC2 = thePar->ParRC2(); << 92 ParRC2 = thePar->ParRC2();
104 93
105 ParRC3 = thePar->ParRC3(); // z_2 = 0.1162 << 94 ParRC3 = thePar->ParRC3(); // z_2 = 0.1162 + - 0.000381 Z
106 ParRC4 = thePar->ParRC4(); << 95 ParRC4 = thePar->ParRC4();
107 96
108 ParWC1 = thePar->ParWC1(); 97 ParWC1 = thePar->ParWC1();
109 ParWC2 = thePar->ParWC2(); 98 ParWC2 = thePar->ParWC2();
110 ParWC3 = thePar->ParWC3(); 99 ParWC3 = thePar->ParWC3();
111 ParWC4 = thePar->ParWC4(); 100 ParWC4 = thePar->ParWC4();
112 ParWC5 = thePar->ParWC5(); << 101 ParWC5 = thePar->ParWC5();
113 ParWC6 = thePar->ParWC6(); 102 ParWC6 = thePar->ParWC6();
114 103
115 ParRT1 = thePar->ParRT1(); 104 ParRT1 = thePar->ParRT1();
116 ParRT2 = thePar->ParRT2(); 105 ParRT2 = thePar->ParRT2();
117 ParRT3 = thePar->ParRT3(); 106 ParRT3 = thePar->ParRT3();
118 ParRT4 = thePar->ParRT4(); << 107 ParRT4 = thePar->ParRT4();
119 ParRT5 = thePar->ParRT5(); 108 ParRT5 = thePar->ParRT5();
120 ParRT6 = thePar->ParRT6(); 109 ParRT6 = thePar->ParRT6();
121 110
122 // Coeff for fluctueted radial profiles for 111 // Coeff for fluctueted radial profiles for a uniform media
123 // 112 //
124 ParSpotT1 = thePar->ParSpotT1(); // T_spot << 113 ParSpotT1 = thePar->ParSpotT1(); // T_spot = T_hom =(0.698 + 0.00212)
125 ParSpotT2 = thePar->ParSpotT2(); << 114 ParSpotT2 = thePar->ParSpotT2();
126 115
127 ParSpotA1 = thePar->ParSpotA1(); // a_spot= << 116 ParSpotA1 = thePar->ParSpotA1(); // a_spot= a_hom (0.639 + 0.00334)
128 ParSpotA2 = thePar->ParSpotA2(); << 117 ParSpotA2 = thePar->ParSpotA2();
129 118
130 ParSpotN1 = thePar->ParSpotN1(); // N_Spot << 119 ParSpotN1 = thePar->ParSpotN1(); // N_Spot 93 * ln(Z) E ** 0.876
131 ParSpotN2 = thePar->ParSpotN2(); << 120 ParSpotN2 = thePar->ParSpotN2();
132 121
133 // Inits 122 // Inits
134 123
135 NSpot = 0.00; << 124 NSpot = 0.00;
136 AlphaNSpot = 0.00; << 125 AlphaNSpot = 0.00;
137 TNSpot = 0.00; << 126 TNSpot = 0.00;
138 BetaNSpot = 0.00; << 127 BetaNSpot = 0.00;
139 << 128
140 RadiusCore = 0.00; << 129 RadiusCore = 0.00;
141 WeightCore = 0.00; << 130 WeightCore = 0.00;
142 RadiusTail = 0.00; << 131 RadiusTail = 0.00;
143 132
144 G4cout << "/******************************** 133 G4cout << "/********************************************/ " << G4endl;
145 G4cout << " - GFlashHomoShowerParameterisat << 134 G4cout << " - GFlashHomoShowerParameterisation::Constructor - " << G4endl;
146 G4cout << "/******************************** 135 G4cout << "/********************************************/ " << G4endl;
147 } 136 }
148 137
149 void GFlashHomoShowerParameterisation::SetMate << 138 void GFlashHomoShowerParameterisation::SetMaterial(G4Material *mat)
150 { 139 {
151 material = mat; << 140 material= mat;
152 Z = GetEffZ(material); 141 Z = GetEffZ(material);
153 A = GetEffA(material); 142 A = GetEffA(material);
154 density = material->GetDensity() / (g / cm3) << 143 density = material->GetDensity()/(g/cm3);
155 X0 = material->GetRadlen(); << 144 X0 = material->GetRadlen();
156 // O. I. Dovzhenkko and A. A. Pommanskii << 145 Ec = 2.66 * std::pow((X0 * Z / A),1.1);
157 Ec = 2.66 * std::pow((X0 * Z / A), 1.1); << 146 G4double Es = 21*MeV;
158 // // Rossi appriximation << 147 Rm = X0*Es/Ec;
159 // Ec = 610.0 * MeV / (Z + 1.24); << 148 // PrintMaterial();
160 const G4double Es = 21.2 * MeV; <<
161 Rm = X0 * Es / Ec; <<
162 // PrintMaterial(); <<
163 } 149 }
164 150
165 GFlashHomoShowerParameterisation::~GFlashHomoS 151 GFlashHomoShowerParameterisation::~GFlashHomoShowerParameterisation()
166 { 152 {
167 delete thePar; << 153 if(owning) { delete thePar; }
168 } 154 }
169 155
170 void GFlashHomoShowerParameterisation::Generat << 156 void GFlashHomoShowerParameterisation::
>> 157 GenerateLongitudinalProfile(G4double Energy)
171 { 158 {
172 if (material == 0) { << 159 if (material==0)
173 G4Exception("GFlashHomoShowerParameterisat << 160 {
174 FatalException, "No material i << 161 G4Exception("GFlashHomoShowerParameterisation::GenerateLongitudinalProfile()",
>> 162 "InvalidSetup", FatalException, "No material initialized!");
175 } 163 }
176 << 164
177 G4double y = Energy / Ec; << 165 G4double y = Energy/Ec;
178 ComputeLongitudinalParameters(y); << 166 ComputeLongitudinalParameters(y);
179 GenerateEnergyProfile(y); 167 GenerateEnergyProfile(y);
180 GenerateNSpotProfile(y); 168 GenerateNSpotProfile(y);
181 } 169 }
182 170
183 void GFlashHomoShowerParameterisation::Compute << 171 void
>> 172 GFlashHomoShowerParameterisation::ComputeLongitudinalParameters(G4double y)
184 { 173 {
185 AveLogTmaxh = std::log(ParAveT1 + std::log(y << 174 AveLogTmaxh = std::log(ParAveT1 + std::log(y));
186 // ok <ln T hom> << 175 //ok <ln T hom>
187 AveLogAlphah = std::log(ParAveA1 + (ParAveA2 << 176 AveLogAlphah = std::log(ParAveA1 + (ParAveA2+ParAveA3/Z)*std::log(y));
188 // ok <ln alpha hom> << 177 //ok <ln alpha hom>
189 << 178
190 SigmaLogTmaxh = 1.00 / (ParSigLogT1 + ParSig << 179 SigmaLogTmaxh = 1.00/( ParSigLogT1 + ParSigLogT2*std::log(y)) ;
191 // ok sigma (ln T hom) << 180 //ok sigma (ln T hom)
192 SigmaLogAlphah = 1.00 / (ParSigLogA1 + ParSi << 181 SigmaLogAlphah = 1.00/( ParSigLogA1 + ParSigLogA2*std::log(y));
193 // ok sigma (ln alpha hom) << 182 //ok sigma (ln alpha hom)
194 Rhoh = ParRho1 + ParRho2 * std::log(y); // << 183 Rhoh = ParRho1+ParRho2*std::log(y); //ok
195 } 184 }
196 185
197 void GFlashHomoShowerParameterisation::Generat 186 void GFlashHomoShowerParameterisation::GenerateEnergyProfile(G4double /* y */)
198 { << 187 {
199 G4double Correlation1h = std::sqrt((1 + Rhoh << 188 G4double Correlation1h = std::sqrt((1+Rhoh)/2);
200 G4double Correlation2h = std::sqrt((1 - Rhoh << 189 G4double Correlation2h = std::sqrt((1-Rhoh)/2);
201 190
202 G4double Random1 = G4RandGauss::shoot(); 191 G4double Random1 = G4RandGauss::shoot();
203 G4double Random2 = G4RandGauss::shoot(); 192 G4double Random2 = G4RandGauss::shoot();
204 193
205 // Parameters for Enenrgy Profile including << 194 // Parameters for Enenrgy Profile including correaltion and sigmas
206 << 195
207 Tmaxh = << 196 Tmaxh = std::exp( AveLogTmaxh + SigmaLogTmaxh *
208 std::exp(AveLogTmaxh + SigmaLogTmaxh * (Co << 197 (Correlation1h*Random1 + Correlation2h*Random2) );
209 Alphah = << 198 Alphah = std::exp( AveLogAlphah + SigmaLogAlphah *
210 std::exp(AveLogAlphah + SigmaLogAlphah * ( << 199 (Correlation1h*Random1 - Correlation2h*Random2) );
211 Betah = (Alphah - 1.00) / Tmaxh; << 200 Betah = (Alphah-1.00)/Tmaxh;
212 } 201 }
213 202
214 void GFlashHomoShowerParameterisation::Generat 203 void GFlashHomoShowerParameterisation::GenerateNSpotProfile(const G4double y)
215 { 204 {
216 TNSpot = Tmaxh * (ParSpotT1 + ParSpotT2 * Z) << 205 TNSpot = Tmaxh * (ParSpotT1+ParSpotT2*Z); // ok
217 AlphaNSpot = Alphah * (ParSpotA1 + ParSpotA2 << 206 AlphaNSpot = Alphah * (ParSpotA1+ParSpotA2*Z);
218 BetaNSpot = (AlphaNSpot - 1.00) / TNSpot; / << 207 BetaNSpot = (AlphaNSpot-1.00)/TNSpot; // ok
219 NSpot = ParSpotN1 * std::log(Z) * std::pow(( << 208 NSpot = ParSpotN1 * std::log(Z)*std::pow((y*Ec)/GeV,ParSpotN2 ); // ok
220 } 209 }
221 210
222 G4double GFlashHomoShowerParameterisation:: 211 G4double GFlashHomoShowerParameterisation::
223 IntegrateEneLongitudinal(G4double Longitudinal 212 IntegrateEneLongitudinal(G4double LongitudinalStep)
224 { 213 {
225 G4double LongitudinalStepInX0 = Longitudinal 214 G4double LongitudinalStepInX0 = LongitudinalStep / X0;
226 G4float x1= Betah*LongitudinalStepInX0; 215 G4float x1= Betah*LongitudinalStepInX0;
227 G4float x2= Alphah; 216 G4float x2= Alphah;
228 float x3 = gam(x1,x2); 217 float x3 = gam(x1,x2);
229 G4double DEne=x3; 218 G4double DEne=x3;
230 return DEne; 219 return DEne;
231 } 220 }
232 221
233 G4double GFlashHomoShowerParameterisation::Int << 222 G4double GFlashHomoShowerParameterisation::
>> 223 IntegrateNspLongitudinal(G4double LongitudinalStep)
234 { 224 {
235 G4double LongitudinalStepInX0 = Longitudinal << 225 G4double LongitudinalStepInX0 = LongitudinalStep / X0;
236 G4float x1 = BetaNSpot * LongitudinalStepInX << 226 G4float x1 = BetaNSpot*LongitudinalStepInX0;
237 G4float x2 = AlphaNSpot; 227 G4float x2 = AlphaNSpot;
238 G4float x3 = gam(x1, x2); << 228 G4float x3 = gam(x1,x2);
239 G4double DNsp = x3; 229 G4double DNsp = x3;
240 return DNsp; 230 return DNsp;
241 } 231 }
242 232
243 G4double GFlashHomoShowerParameterisation::Gen << 233
244 << 234 G4double GFlashHomoShowerParameterisation::
>> 235 GenerateRadius(G4int ispot, G4double Energy, G4double LongitudinalPosition)
245 { 236 {
246 if (ispot < 1) { << 237 if(ispot < 1)
>> 238 {
247 // Determine lateral parameters in the mid 239 // Determine lateral parameters in the middle of the step.
248 // They depend on energy & position along 240 // They depend on energy & position along step.
249 // 241 //
250 G4double Tau = ComputeTau(LongitudinalPosi 242 G4double Tau = ComputeTau(LongitudinalPosition);
251 ComputeRadialParameters(Energy, Tau); << 243 ComputeRadialParameters(Energy,Tau);
252 } 244 }
253 245
254 G4double Radius; 246 G4double Radius;
255 G4double Random1 = G4UniformRand(); 247 G4double Random1 = G4UniformRand();
256 G4double Random2 = G4UniformRand(); << 248 G4double Random2 = G4UniformRand();
257 249
258 if (Random1 < WeightCore) // WeightCore = p << 250 if(Random1 <WeightCore) //WeightCore = p < w_i
259 { 251 {
260 Radius = Rm * RadiusCore * std::sqrt(Rando << 252 Radius = Rm * RadiusCore * std::sqrt( Random2/(1. - Random2) );
261 } <<
262 else { <<
263 Radius = Rm * RadiusTail * std::sqrt(Rando <<
264 } 253 }
265 Radius = std::min(Radius, DBL_MAX); << 254 else
>> 255 {
>> 256 Radius = Rm * RadiusTail * std::sqrt( Random2/(1. - Random2) );
>> 257 }
>> 258 Radius = std::min(Radius,DBL_MAX);
266 return Radius; 259 return Radius;
267 } 260 }
268 261
269 G4double GFlashHomoShowerParameterisation::Com << 262 G4double GFlashHomoShowerParameterisation::
>> 263 ComputeTau(G4double LongitudinalPosition)
270 { 264 {
271 G4double tau = LongitudinalPosition / Tmaxh << 265 G4double tau = LongitudinalPosition / Tmaxh / X0 //<t> = T* a /(a - 1)
272 * (Alphah - 1.00) / Alphah * << 266 * (Alphah-1.00) /Alphah *
273 / (std::exp(AveLogAlphah) - 1 << 267 std::exp(AveLogAlphah)/(std::exp(AveLogAlphah)-1.); //ok
274 return tau; 268 return tau;
275 } 269 }
276 270
277 void GFlashHomoShowerParameterisation::Compute << 271 void GFlashHomoShowerParameterisation::
>> 272 ComputeRadialParameters(G4double Energy, G4double Tau)
278 { 273 {
279 G4double z1 = ParRC1 + ParRC2 * std::log(Ene << 274 G4double z1 = ParRC1 + ParRC2* std::log(Energy/GeV) ; //ok
280 G4double z2 = ParRC3 + ParRC4 * Z; // ok << 275 G4double z2 = ParRC3+ParRC4*Z ; //ok
281 RadiusCore = z1 + z2 * Tau; // ok << 276 RadiusCore = z1 + z2 * Tau ; //ok
282 << 277
283 G4double p1 = ParWC1 + ParWC2 * Z; // ok << 278 G4double p1 = ParWC1+ParWC2*Z; //ok
284 G4double p2 = ParWC3 + ParWC4 * Z; // ok << 279 G4double p2 = ParWC3+ParWC4*Z; //ok
285 G4double p3 = ParWC5 + ParWC6 * std::log(Ene << 280 G4double p3 = ParWC5+ParWC6*std::log(Energy/GeV); //ok
286 << 281
287 WeightCore = p1 * std::exp((p2 - Tau) / p3 - << 282 WeightCore = p1 * std::exp( (p2-Tau)/p3 - std::exp( (p2-Tau) /p3) ); //ok
288 << 283
289 G4double k1 = ParRT1 + ParRT2 * Z; // ok << 284 G4double k1 = ParRT1+ParRT2*Z; // ok
290 G4double k2 = ParRT3; // ok << 285 G4double k2 = ParRT3; // ok
291 G4double k3 = ParRT4; // ok << 286 G4double k3 = ParRT4; // ok
292 G4double k4 = ParRT5 + ParRT6 * std::log(Ene << 287 G4double k4 = ParRT5+ParRT6* std::log(Energy/GeV); // ok
293 288
294 RadiusTail = k1 * (std::exp(k3 * (Tau - k2)) << 289 RadiusTail = k1*(std::exp(k3*(Tau-k2)) +
>> 290 std::exp(k4*(Tau-k2)) ); //ok
295 } 291 }
296 292
297 G4double GFlashHomoShowerParameterisation:: 293 G4double GFlashHomoShowerParameterisation::
298 GenerateExponential(const G4double /* Energy * 294 GenerateExponential(const G4double /* Energy */ )
299 { 295 {
300 G4double ParExp1 = 9./7.*X0; 296 G4double ParExp1 = 9./7.*X0;
301 G4double random = -ParExp1*G4RandExponentia 297 G4double random = -ParExp1*G4RandExponential::shoot() ;
302 return random; 298 return random;
303 } 299 }
304 300