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>> 23 // $Id: GFlashHomoShowerParameterisation.cc,v 1.4 2005/11/30 19:29:44 gcosmo Exp $
>> 24 // GEANT4 tag $Name: geant4-08-00-patch-01 $
26 // 25 //
27 // 26 //
28 // ------------------------------------------- 27 // ------------------------------------------------------------
29 // GEANT 4 class implementation 28 // GEANT 4 class implementation
30 // 29 //
31 // ------- GFlashHomoShowerParameterisati 30 // ------- GFlashHomoShowerParameterisation -------
32 // 31 //
33 // Authors: E.Barberio & Joanna Weng - 9.11.20 32 // Authors: E.Barberio & Joanna Weng - 9.11.2004
34 // ------------------------------------------- 33 // ------------------------------------------------------------
35 34
36 #include <cmath> <<
37 <<
38 #include "GFlashHomoShowerParameterisation.hh" <<
39 #include "GVFlashShowerParameterisation.hh" 35 #include "GVFlashShowerParameterisation.hh"
40 #include "G4PhysicalConstants.hh" << 36 #include "GFlashHomoShowerParameterisation.hh"
41 #include "G4SystemOfUnits.hh" << 37 #include <cmath>
42 #include "Randomize.hh" 38 #include "Randomize.hh"
43 #include "G4ios.hh" 39 #include "G4ios.hh"
44 #include "G4Material.hh" 40 #include "G4Material.hh"
45 #include "G4MaterialTable.hh" 41 #include "G4MaterialTable.hh"
46 42
47 GFlashHomoShowerParameterisation::GFlashHomoSh << 43 GFlashHomoShowerParameterisation::
48 << 44 GFlashHomoShowerParameterisation(G4Material * aMat,
49 : GVFlashShowerParameterisation(), << 45 GVFlashHomoShowerTuning * aPar)
50 ConstantResolution(0.), << 46 : GVFlashShowerParameterisation()
51 NoiseResolution(0.), << 47 {
52 SamplingResolution(0.), << 48 if(!aPar) { thePar = new GVFlashHomoShowerTuning; }
53 AveLogAlphah(0.), << 49 else { thePar = aPar; }
54 AveLogTmaxh(0.), <<
55 SigmaLogAlphah(0.), <<
56 SigmaLogTmaxh(0.), <<
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 50
70 SetMaterial(aMat); 51 SetMaterial(aMat);
71 PrintMaterial(aMat); 52 PrintMaterial(aMat);
72 53
73 /******************************************* 54 /********************************************/
74 /* Homo Calorimeter 55 /* Homo Calorimeter */
75 /******************************************* << 56 /********************************************/
76 // Longitudinal Coefficients for a homogenio 57 // Longitudinal Coefficients for a homogenious calo
77 // shower max 58 // shower max
78 // 59 //
79 ParAveT1 = thePar->ParAveT1(); // ln (ln y << 60 ParAveT1 = thePar->ParAveT1(); // ln (ln y -0.812)
80 ParAveA1 = thePar->ParAveA1(); // ln a (0.8 << 61 ParAveA1 = thePar->ParAveA1(); // ln a (0.81 + (0.458 + 2.26/Z)ln y)
81 ParAveA2 = thePar->ParAveA2(); << 62 ParAveA2 = thePar->ParAveA2();
82 ParAveA3 = thePar->ParAveA3(); << 63 ParAveA3 = thePar->ParAveA3();
83 64
84 // Variance of shower max 65 // Variance of shower max
85 ParSigLogT1 = thePar->ParSigLogT1(); // Sig << 66 ParSigLogT1 = thePar->ParSigLogT1(); // Sigma T1 (-1.4 + 1.26 ln y)**-1
86 ParSigLogT2 = thePar->ParSigLogT2(); 67 ParSigLogT2 = thePar->ParSigLogT2();
87 68
88 // variance of 'alpha' 69 // variance of 'alpha'
89 // 70 //
90 ParSigLogA1 = thePar->ParSigLogA1(); // Sig << 71 ParSigLogA1 = thePar->ParSigLogA1(); // Sigma a (-0.58 + 0.86 ln y)**-1
91 ParSigLogA2 = thePar->ParSigLogA2(); 72 ParSigLogA2 = thePar->ParSigLogA2();
92 73
93 // correlation alpha%T 74 // correlation alpha%T
94 // 75 //
95 ParRho1 = thePar->ParRho1(); // Rho = 0.705 << 76 ParRho1 = thePar->ParRho1(); // Rho = 0.705 -0.023 ln y
96 ParRho2 = thePar->ParRho2(); << 77 ParRho2 = thePar->ParRho2();
97 78
98 // Radial Coefficients 79 // Radial Coefficients
99 // r_C (tau)= z_1 +z_2 tau 80 // r_C (tau)= z_1 +z_2 tau
100 // r_t (tau)= k1 (std::exp (k3(tau -k2 ))+st 81 // r_t (tau)= k1 (std::exp (k3(tau -k2 ))+std::exp (k_4 (tau- k_2))))
101 // 82 //
102 ParRC1 = thePar->ParRC1(); // z_1 = 0.0251 << 83 ParRC1 = thePar->ParRC1(); // z_1 = 0.0251 + 0.00319 ln E
103 ParRC2 = thePar->ParRC2(); << 84 ParRC2 = thePar->ParRC2();
104 85
105 ParRC3 = thePar->ParRC3(); // z_2 = 0.1162 << 86 ParRC3 = thePar->ParRC3(); // z_2 = 0.1162 + - 0.000381 Z
106 ParRC4 = thePar->ParRC4(); << 87 ParRC4 = thePar->ParRC4();
107 88
108 ParWC1 = thePar->ParWC1(); 89 ParWC1 = thePar->ParWC1();
109 ParWC2 = thePar->ParWC2(); 90 ParWC2 = thePar->ParWC2();
110 ParWC3 = thePar->ParWC3(); 91 ParWC3 = thePar->ParWC3();
111 ParWC4 = thePar->ParWC4(); 92 ParWC4 = thePar->ParWC4();
112 ParWC5 = thePar->ParWC5(); << 93 ParWC5 = thePar->ParWC5();
113 ParWC6 = thePar->ParWC6(); 94 ParWC6 = thePar->ParWC6();
114 95
115 ParRT1 = thePar->ParRT1(); 96 ParRT1 = thePar->ParRT1();
116 ParRT2 = thePar->ParRT2(); 97 ParRT2 = thePar->ParRT2();
117 ParRT3 = thePar->ParRT3(); 98 ParRT3 = thePar->ParRT3();
118 ParRT4 = thePar->ParRT4(); << 99 ParRT4 = thePar->ParRT4();
119 ParRT5 = thePar->ParRT5(); 100 ParRT5 = thePar->ParRT5();
120 ParRT6 = thePar->ParRT6(); 101 ParRT6 = thePar->ParRT6();
121 102
122 // Coeff for fluctueted radial profiles for 103 // Coeff for fluctueted radial profiles for a uniform media
123 // 104 //
124 ParSpotT1 = thePar->ParSpotT1(); // T_spot << 105 ParSpotT1 = thePar->ParSpotT1(); // T_spot = T_hom =(0.698 + 0.00212)
125 ParSpotT2 = thePar->ParSpotT2(); << 106 ParSpotT2 = thePar->ParSpotT2();
126 107
127 ParSpotA1 = thePar->ParSpotA1(); // a_spot= << 108 ParSpotA1 = thePar->ParSpotA1(); // a_spot= a_hom (0.639 + 0.00334)
128 ParSpotA2 = thePar->ParSpotA2(); << 109 ParSpotA2 = thePar->ParSpotA2();
129 110
130 ParSpotN1 = thePar->ParSpotN1(); // N_Spot << 111 ParSpotN1 = thePar->ParSpotN1(); // N_Spot 93 * ln(Z) E ** 0.876
131 ParSpotN2 = thePar->ParSpotN2(); << 112 ParSpotN2 = thePar->ParSpotN2();
132 113
133 // Inits 114 // Inits
134 115
135 NSpot = 0.00; << 116 NSpot = 0.00;
136 AlphaNSpot = 0.00; << 117 AlphaNSpot = 0.00;
137 TNSpot = 0.00; << 118 TNSpot = 0.00;
138 BetaNSpot = 0.00; << 119 BetaNSpot = 0.00;
139 << 120
140 RadiusCore = 0.00; << 121 RadiusCore = 0.00;
141 WeightCore = 0.00; << 122 WeightCore = 0.00;
142 RadiusTail = 0.00; << 123 RadiusTail = 0.00;
143 124
144 G4cout << "/******************************** 125 G4cout << "/********************************************/ " << G4endl;
145 G4cout << " - GFlashHomoShowerParameterisat << 126 G4cout << " - GFlashHomoShowerParameterisation::Constructor - " << G4endl;
146 G4cout << "/******************************** 127 G4cout << "/********************************************/ " << G4endl;
147 } 128 }
148 129
149 void GFlashHomoShowerParameterisation::SetMate << 130 void GFlashHomoShowerParameterisation::SetMaterial(G4Material *mat)
150 { 131 {
151 material = mat; << 132 material= mat;
152 Z = GetEffZ(material); 133 Z = GetEffZ(material);
153 A = GetEffA(material); 134 A = GetEffA(material);
154 density = material->GetDensity() / (g / cm3) << 135 density = material->GetDensity()/(g/cm3);
155 X0 = material->GetRadlen(); << 136 X0 = material->GetRadlen();
156 // O. I. Dovzhenkko and A. A. Pommanskii << 137 Ec = 2.66 * std::pow((X0 * Z / A),1.1);
157 Ec = 2.66 * std::pow((X0 * Z / A), 1.1); << 138 G4double Es = 21*MeV;
158 // // Rossi appriximation << 139 Rm = X0*Es/Ec;
159 // Ec = 610.0 * MeV / (Z + 1.24); << 140 // PrintMaterial();
160 const G4double Es = 21.2 * MeV; <<
161 Rm = X0 * Es / Ec; <<
162 // PrintMaterial(); <<
163 } 141 }
164 142
165 GFlashHomoShowerParameterisation::~GFlashHomoS 143 GFlashHomoShowerParameterisation::~GFlashHomoShowerParameterisation()
166 { << 144 {}
167 delete thePar; <<
168 } <<
169 145
170 void GFlashHomoShowerParameterisation::Generat << 146 void GFlashHomoShowerParameterisation::
>> 147 GenerateLongitudinalProfile(G4double Energy)
171 { 148 {
172 if (material == 0) { << 149 if (material==0)
173 G4Exception("GFlashHomoShowerParameterisat << 150 {
174 FatalException, "No material i << 151 G4Exception("GFlashHomoShowerParameterisation::GenerateLongitudinalProfile()",
>> 152 "InvalidSetup", FatalException, "No material initialized!");
175 } 153 }
176 << 154
177 G4double y = Energy / Ec; << 155 G4double y = Energy/Ec;
178 ComputeLongitudinalParameters(y); << 156 ComputeLongitudinalParameters(y);
179 GenerateEnergyProfile(y); 157 GenerateEnergyProfile(y);
180 GenerateNSpotProfile(y); 158 GenerateNSpotProfile(y);
181 } 159 }
182 160
183 void GFlashHomoShowerParameterisation::Compute << 161 void
>> 162 GFlashHomoShowerParameterisation::ComputeLongitudinalParameters(G4double y)
184 { 163 {
185 AveLogTmaxh = std::log(ParAveT1 + std::log(y << 164 AveLogTmaxh = std::log(ParAveT1 + std::log(y));
186 // ok <ln T hom> << 165 //ok <ln T hom>
187 AveLogAlphah = std::log(ParAveA1 + (ParAveA2 << 166 AveLogAlphah = std::log(ParAveA1 + (ParAveA2+ParAveA3/Z)*std::log(y));
188 // ok <ln alpha hom> << 167 //ok <ln alpha hom>
189 << 168
190 SigmaLogTmaxh = 1.00 / (ParSigLogT1 + ParSig << 169 SigmaLogTmaxh = 1.00/( ParSigLogT1 + ParSigLogT2*std::log(y)) ;
191 // ok sigma (ln T hom) << 170 //ok sigma (ln T hom)
192 SigmaLogAlphah = 1.00 / (ParSigLogA1 + ParSi << 171 SigmaLogAlphah = 1.00/( ParSigLogA1 + ParSigLogA2*std::log(y));
193 // ok sigma (ln alpha hom) << 172 //ok sigma (ln alpha hom)
194 Rhoh = ParRho1 + ParRho2 * std::log(y); // << 173 Rhoh = ParRho1+ParRho2*std::log(y); //ok
195 } 174 }
196 175
197 void GFlashHomoShowerParameterisation::Generat 176 void GFlashHomoShowerParameterisation::GenerateEnergyProfile(G4double /* y */)
198 { << 177 {
199 G4double Correlation1h = std::sqrt((1 + Rhoh << 178 G4double Correlation1h = std::sqrt((1+Rhoh)/2);
200 G4double Correlation2h = std::sqrt((1 - Rhoh << 179 G4double Correlation2h = std::sqrt((1-Rhoh)/2);
201 180
202 G4double Random1 = G4RandGauss::shoot(); 181 G4double Random1 = G4RandGauss::shoot();
203 G4double Random2 = G4RandGauss::shoot(); 182 G4double Random2 = G4RandGauss::shoot();
204 183
205 // Parameters for Enenrgy Profile including << 184 // Parameters for Enenrgy Profile including correaltion and sigmas
206 << 185
207 Tmaxh = << 186 Tmaxh = std::exp( AveLogTmaxh + SigmaLogTmaxh *
208 std::exp(AveLogTmaxh + SigmaLogTmaxh * (Co << 187 (Correlation1h*Random1 + Correlation2h*Random2) );
209 Alphah = << 188 Alphah = std::exp( AveLogAlphah + SigmaLogAlphah *
210 std::exp(AveLogAlphah + SigmaLogAlphah * ( << 189 (Correlation1h*Random1 - Correlation2h*Random2) );
211 Betah = (Alphah - 1.00) / Tmaxh; << 190 Betah = (Alphah-1.00)/Tmaxh;
212 } 191 }
213 192
214 void GFlashHomoShowerParameterisation::Generat 193 void GFlashHomoShowerParameterisation::GenerateNSpotProfile(const G4double y)
215 { 194 {
216 TNSpot = Tmaxh * (ParSpotT1 + ParSpotT2 * Z) << 195 TNSpot = Tmaxh * (ParSpotT1+ParSpotT2*Z); // ok
217 AlphaNSpot = Alphah * (ParSpotA1 + ParSpotA2 << 196 AlphaNSpot = Alphah * (ParSpotA1+ParSpotA2*Z);
218 BetaNSpot = (AlphaNSpot - 1.00) / TNSpot; / << 197 BetaNSpot = (AlphaNSpot-1.00)/TNSpot; // ok
219 NSpot = ParSpotN1 * std::log(Z) * std::pow(( << 198 NSpot = ParSpotN1 * std::log(Z)*std::pow((y*Ec)/GeV,ParSpotN2 ); // ok
220 } 199 }
221 200
222 G4double GFlashHomoShowerParameterisation:: 201 G4double GFlashHomoShowerParameterisation::
223 IntegrateEneLongitudinal(G4double Longitudinal 202 IntegrateEneLongitudinal(G4double LongitudinalStep)
224 { 203 {
225 G4double LongitudinalStepInX0 = Longitudinal 204 G4double LongitudinalStepInX0 = LongitudinalStep / X0;
226 G4float x1= Betah*LongitudinalStepInX0; 205 G4float x1= Betah*LongitudinalStepInX0;
227 G4float x2= Alphah; 206 G4float x2= Alphah;
228 float x3 = gam(x1,x2); 207 float x3 = gam(x1,x2);
229 G4double DEne=x3; 208 G4double DEne=x3;
230 return DEne; 209 return DEne;
231 } 210 }
232 211
233 G4double GFlashHomoShowerParameterisation::Int << 212 G4double GFlashHomoShowerParameterisation::
>> 213 IntegrateNspLongitudinal(G4double LongitudinalStep)
234 { 214 {
235 G4double LongitudinalStepInX0 = Longitudinal << 215 G4double LongitudinalStepInX0 = LongitudinalStep / X0;
236 G4float x1 = BetaNSpot * LongitudinalStepInX << 216 G4float x1 = BetaNSpot*LongitudinalStepInX0;
237 G4float x2 = AlphaNSpot; 217 G4float x2 = AlphaNSpot;
238 G4float x3 = gam(x1, x2); << 218 G4float x3 = gam(x1,x2);
239 G4double DNsp = x3; 219 G4double DNsp = x3;
240 return DNsp; 220 return DNsp;
241 } 221 }
242 222
243 G4double GFlashHomoShowerParameterisation::Gen << 223
244 << 224 G4double GFlashHomoShowerParameterisation::
>> 225 GenerateRadius(G4int ispot, G4double Energy, G4double LongitudinalPosition)
245 { 226 {
246 if (ispot < 1) { << 227 if(ispot < 1)
>> 228 {
247 // Determine lateral parameters in the mid 229 // Determine lateral parameters in the middle of the step.
248 // They depend on energy & position along 230 // They depend on energy & position along step.
249 // 231 //
250 G4double Tau = ComputeTau(LongitudinalPosi 232 G4double Tau = ComputeTau(LongitudinalPosition);
251 ComputeRadialParameters(Energy, Tau); << 233 ComputeRadialParameters(Energy,Tau);
252 } 234 }
253 235
254 G4double Radius; 236 G4double Radius;
255 G4double Random1 = G4UniformRand(); 237 G4double Random1 = G4UniformRand();
256 G4double Random2 = G4UniformRand(); << 238 G4double Random2 = G4UniformRand();
257 239
258 if (Random1 < WeightCore) // WeightCore = p << 240 if(Random1 <WeightCore) //WeightCore = p < w_i
259 { 241 {
260 Radius = Rm * RadiusCore * std::sqrt(Rando << 242 Radius = Rm * RadiusCore * std::sqrt( Random2/(1. - Random2) );
261 } 243 }
262 else { << 244 else
263 Radius = Rm * RadiusTail * std::sqrt(Rando << 245 {
264 } << 246 Radius = Rm * RadiusTail * std::sqrt( Random2/(1. - Random2) );
265 Radius = std::min(Radius, DBL_MAX); << 247 }
>> 248 Radius = std::min(Radius,DBL_MAX);
266 return Radius; 249 return Radius;
267 } 250 }
268 251
269 G4double GFlashHomoShowerParameterisation::Com << 252 G4double GFlashHomoShowerParameterisation::
>> 253 ComputeTau(G4double LongitudinalPosition)
270 { 254 {
271 G4double tau = LongitudinalPosition / Tmaxh << 255 G4double tau = LongitudinalPosition / Tmaxh / X0 //<t> = T* a /(a - 1)
272 * (Alphah - 1.00) / Alphah * << 256 * (Alphah-1.00) /Alphah *
273 / (std::exp(AveLogAlphah) - 1 << 257 std::exp(AveLogAlphah)/(std::exp(AveLogAlphah)-1.); //ok
274 return tau; 258 return tau;
275 } 259 }
276 260
277 void GFlashHomoShowerParameterisation::Compute << 261 void GFlashHomoShowerParameterisation::
>> 262 ComputeRadialParameters(G4double Energy, G4double Tau)
278 { 263 {
279 G4double z1 = ParRC1 + ParRC2 * std::log(Ene << 264 G4double z1 = ParRC1 + ParRC2* std::log(Energy/GeV) ; //ok
280 G4double z2 = ParRC3 + ParRC4 * Z; // ok << 265 G4double z2 = ParRC3+ParRC4*Z ; //ok
281 RadiusCore = z1 + z2 * Tau; // ok << 266 RadiusCore = z1 + z2 * Tau ; //ok
282 << 267
283 G4double p1 = ParWC1 + ParWC2 * Z; // ok << 268 G4double p1 = ParWC1+ParWC2*Z; //ok
284 G4double p2 = ParWC3 + ParWC4 * Z; // ok << 269 G4double p2 = ParWC3+ParWC4*Z; //ok
285 G4double p3 = ParWC5 + ParWC6 * std::log(Ene << 270 G4double p3 = ParWC5+ParWC6*std::log(Energy/GeV); //ok
286 << 271
287 WeightCore = p1 * std::exp((p2 - Tau) / p3 - << 272 WeightCore = p1 * std::exp( (p2-Tau)/p3 - std::exp( (p2-Tau) /p3) ); //ok
288 << 273
289 G4double k1 = ParRT1 + ParRT2 * Z; // ok << 274 G4double k1 = ParRT1+ParRT2*Z; // ok
290 G4double k2 = ParRT3; // ok << 275 G4double k2 = ParRT3; // ok
291 G4double k3 = ParRT4; // ok << 276 G4double k3 = ParRT4; // ok
292 G4double k4 = ParRT5 + ParRT6 * std::log(Ene << 277 G4double k4 = ParRT5+ParRT6* std::log(Energy/GeV); // ok
293 278
294 RadiusTail = k1 * (std::exp(k3 * (Tau - k2)) << 279 RadiusTail = k1*(std::exp(k3*(Tau-k2)) +
>> 280 std::exp(k4*(Tau-k2)) ); //ok
295 } 281 }
296 282
297 G4double GFlashHomoShowerParameterisation:: 283 G4double GFlashHomoShowerParameterisation::
298 GenerateExponential(const G4double /* Energy * 284 GenerateExponential(const G4double /* Energy */ )
299 { 285 {
300 G4double ParExp1 = 9./7.*X0; 286 G4double ParExp1 = 9./7.*X0;
301 G4double random = -ParExp1*G4RandExponentia << 287 G4double random = -ParExp1*CLHEP::RandExponential::shoot() ;
302 return random; 288 return random;
303 } 289 }
304 290