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25 // 25 //
>> 26 //
26 27
27 #include "G4XTRRegularRadModel.hh" << 28 #include <complex>
28 29
>> 30 #include "G4XTRRegularRadModel.hh"
29 #include "G4PhysicalConstants.hh" 31 #include "G4PhysicalConstants.hh"
>> 32 #include "Randomize.hh"
>> 33
>> 34 #include "G4Gamma.hh"
>> 35 using namespace std;
30 36
31 ////////////////////////////////////////////// 37 ////////////////////////////////////////////////////////////////////////////
>> 38 //
32 // Constructor, destructor 39 // Constructor, destructor
33 G4XTRRegularRadModel::G4XTRRegularRadModel(G4L << 40
34 G4M << 41 G4XTRRegularRadModel::G4XTRRegularRadModel(G4LogicalVolume *anEnvelope,
35 G4M << 42 G4Material* foilMat,G4Material* gasMat,
36 G4d << 43 G4double a, G4double b, G4int n,
37 con << 44 const G4String& processName) :
38 : G4VXTRenergyLoss(anEnvelope, foilMat, gasM << 45 G4VXTRenergyLoss(anEnvelope,foilMat,gasMat,a,b,n,processName)
39 { 46 {
40 G4cout << " XTR Regular discrete radiator mo << 47 G4cout<<" XTR Regular discrete radiator model is called"<<G4endl ;
41 48
42 fExitFlux = true; 49 fExitFlux = true;
>> 50
>> 51 // Build energy and angular integral spectra of X-ray TR photons from
>> 52 // a radiator
>> 53
>> 54 // BuildTable() ;
43 } 55 }
44 56
45 ////////////////////////////////////////////// 57 ///////////////////////////////////////////////////////////////////////////
46 G4XTRRegularRadModel::~G4XTRRegularRadModel() <<
47 58
48 ////////////////////////////////////////////// << 59 G4XTRRegularRadModel::~G4XTRRegularRadModel()
49 void G4XTRRegularRadModel::ProcessDescription( <<
50 { 60 {
51 out << "Describes X-ray transition radiation << 61 ;
52 "plates\n" <<
53 "fixed.\n"; <<
54 } 62 }
55 63
56 ////////////////////////////////////////////// 64 ///////////////////////////////////////////////////////////////////////////
>> 65 //
>> 66 //
>> 67
57 G4double G4XTRRegularRadModel::SpectralXTRdEdx 68 G4double G4XTRRegularRadModel::SpectralXTRdEdx(G4double energy)
58 { 69 {
59 static constexpr G4double cofPHC = 4. * pi * << 70 G4double result, sum = 0., tmp, cof1, cof2, cofMin, cofPHC, theta2, theta2k;
60 G4double result, sum = 0., tmp, cof1, cof2, << 71 G4double aMa, bMb ,sigma, dump;
61 G4double aMa, bMb, sigma, dump; <<
62 G4int k, kMax, kMin; 72 G4int k, kMax, kMin;
63 73
64 aMa = fPlateThick * GetPlateLinearPhotoAbs << 74 aMa = fPlateThick*GetPlateLinearPhotoAbs(energy);
65 bMb = fGasThick * GetGasLinearPhotoAbs(ene << 75 bMb = fGasThick*GetGasLinearPhotoAbs(energy);
66 sigma = 0.5 * (aMa + bMb); << 76 sigma = 0.5*(aMa + bMb);
67 dump = std::exp(-fPlateNumber * sigma); << 77 dump = std::exp(-fPlateNumber*sigma);
68 if(verboseLevel > 2) << 78 if(verboseLevel > 2) G4cout<<" dump = "<<dump<<G4endl;
69 G4cout << " dump = " << dump << G4endl; << 79 cofPHC = 4*pi*hbarc;
70 tmp = (fSigma1 - fSigma2) / cofPHC / energy << 80 tmp = (fSigma1 - fSigma2)/cofPHC/energy;
71 cof1 = fPlateThick * tmp; << 81 cof1 = fPlateThick*tmp;
72 cof2 = fGasThick * tmp; << 82 cof2 = fGasThick*tmp;
73 83
74 cofMin = energy * (fPlateThick + fGasThick) << 84 cofMin = energy*(fPlateThick + fGasThick)/fGamma/fGamma;
75 cofMin += (fPlateThick * fSigma1 + fGasThick << 85 cofMin += (fPlateThick*fSigma1 + fGasThick*fSigma2)/energy;
76 cofMin /= cofPHC; 86 cofMin /= cofPHC;
77 87
78 theta2 = cofPHC / (energy * (fPlateThick + f << 88 theta2 = cofPHC/(energy*(fPlateThick + fGasThick));
>> 89
>> 90 // if (fGamma < 1200) kMin = G4int(cofMin); // 1200 ?
>> 91 // else kMin = 1;
>> 92
79 93
80 kMin = G4int(cofMin); 94 kMin = G4int(cofMin);
81 if(cofMin > kMin) << 95 if (cofMin > kMin) kMin++;
82 kMin++; << 96
>> 97 // tmp = (fPlateThick + fGasThick)*energy*fMaxThetaTR;
>> 98 // tmp /= cofPHC;
>> 99 // kMax = G4int(tmp);
>> 100 // if(kMax < 0) kMax = 0;
>> 101 // kMax += kMin;
>> 102
>> 103
>> 104 kMax = kMin + 49; // 19; // kMin + G4int(tmp);
83 105
84 kMax = kMin + 49; << 106 // tmp /= fGamma;
>> 107 // if( G4int(tmp) < kMin ) kMin = G4int(tmp);
85 108
86 if(verboseLevel > 2) 109 if(verboseLevel > 2)
87 { << 110 {
88 G4cout << cof1 << " " << cof2 << " << 111 G4cout<<cof1<<" "<<cof2<<" "<<cofMin<<G4endl;
89 G4cout << "kMin = " << kMin << "; kMax << 112 G4cout<<"kMin = "<<kMin<<"; kMax = "<<kMax<<G4endl;
90 } 113 }
91 for(k = kMin; k <= kMax; ++k) << 114 for( k = kMin; k <= kMax; k++ )
92 { 115 {
93 tmp = pi * fPlateThick * (k + cof2) / ( << 116 tmp = pi*fPlateThick*(k + cof2)/(fPlateThick + fGasThick);
94 result = (k - cof1) * (k - cof1) * (k + co << 117 result = (k - cof1)*(k - cof1)*(k + cof2)*(k + cof2);
95 if(k == kMin && kMin == G4int(cofMin)) << 118 // tmp = std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result;
>> 119 if( k == kMin && kMin == G4int(cofMin) )
96 { 120 {
97 sum += << 121 sum += 0.5*std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result;
98 0.5 * std::sin(tmp) * std::sin(tmp) * <<
99 } 122 }
100 else 123 else
101 { 124 {
102 sum += std::sin(tmp) * std::sin(tmp) * s << 125 sum += std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result;
103 } 126 }
104 theta2k = std::sqrt(theta2 * std::abs(k - << 127 theta2k = std::sqrt(theta2*std::abs(k-cofMin));
105 128
106 if(verboseLevel > 2) 129 if(verboseLevel > 2)
107 { << 130 {
108 G4cout << k << " " << theta2k << " << 131 // G4cout<<"k = "<<k<<"; sqrt(theta2k) = "<<theta2k<<"; tmp = "<<std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result
109 << std::sin(tmp) * std::sin(tmp) << 132 // <<"; sum = "<<sum<<G4endl;
110 << " " << sum << G4endl; << 133 G4cout<<k<<" "<<theta2k<<" "<<std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result
111 } << 134 <<" "<<sum<<G4endl;
>> 135 }
112 } 136 }
113 result = 2 * (cof1 + cof2) * (cof1 + cof2) * << 137 result = 2*( cof1 + cof2 )*( cof1 + cof2 )*sum/energy;
114 result *= dump * (-1 + dump + 2 * fPlateNumb << 138 // result *= ( 1 - std::exp(-0.5*fPlateNumber*sigma) )/( 1 - std::exp(-0.5*sigma) );
115 << 139 // fPlateNumber;
>> 140 result *= dump*( -1 + dump + 2*fPlateNumber );
>> 141 /*
>> 142 fEnergy = energy;
>> 143 // G4Integrator<G4VXTRenergyLoss,G4double(G4VXTRenergyLoss::*)(G4double)> integral;
>> 144 G4Integrator<G4TransparentRegXTRadiator,G4double(G4VXTRenergyLoss::*)(G4double)> integral;
>> 145
>> 146 tmp = integral.Legendre96(this,&G4VXTRenergyLoss::SpectralAngleXTRdEdx,
>> 147 0.0,0.3*fMaxThetaTR) +
>> 148 integral.Legendre96(this,&G4VXTRenergyLoss::SpectralAngleXTRdEdx,
>> 149 0.3*fMaxThetaTR,0.6*fMaxThetaTR) +
>> 150 integral.Legendre96(this,&G4VXTRenergyLoss::SpectralAngleXTRdEdx,
>> 151 0.6*fMaxThetaTR,fMaxThetaTR) ;
>> 152 result += tmp;
>> 153 */
116 return result; 154 return result;
117 } 155 }
118 156
>> 157
>> 158
119 ////////////////////////////////////////////// 159 ///////////////////////////////////////////////////////////////////////////
>> 160 //
120 // Approximation for radiator interference fac 161 // Approximation for radiator interference factor for the case of
121 // fully Regular radiator. The plate and gas g << 162 // fully Regular radiator. The plate and gas gap thicknesses are fixed .
122 // The mean values of the plate and gas gap th << 163 // The mean values of the plate and gas gap thicknesses
123 // are supposed to be about XTR formation zone << 164 // are supposed to be about XTR formation zones but much less than
124 // mean absorption length of XTR photons in co << 165 // mean absorption length of XTR photons in coresponding material.
125 G4double G4XTRRegularRadModel::GetStackFactor( << 166
126 << 167 G4double
>> 168 G4XTRRegularRadModel::GetStackFactor( G4double energy,
>> 169 G4double gamma, G4double varAngle )
127 { 170 {
128 G4double aZa = fPlateThick / GetPlateFormati << 171 G4double result, Qa, Qb, Q, aZa, bZb, aMa, bMb, I2 ;
129 G4double bZb = fGasThick / GetGasFormationZo << 172
>> 173 aZa = fPlateThick/GetPlateFormationZone(energy,gamma,varAngle) ;
>> 174 bZb = fGasThick/GetGasFormationZone(energy,gamma,varAngle) ;
130 175
131 G4double aMa = fPlateThick * GetPlateLinearP << 176 aMa = fPlateThick*GetPlateLinearPhotoAbs(energy) ;
132 G4double bMb = fGasThick * GetGasLinearPhoto << 177 bMb = fGasThick*GetGasLinearPhotoAbs(energy) ;
133 178
134 G4double Qa = std::exp(-aMa); << 179 Qa = std::exp(-aMa) ;
135 G4double Qb = std::exp(-bMb); << 180 Qb = std::exp(-bMb) ;
136 G4double Q = Qa * Qb; << 181 Q = Qa*Qb ;
137 182
138 G4complex Ha(std::exp(-0.5 * aMa) * std::cos << 183 // G4complex Ca(1.0+0.5*fPlateThick*Ma,fPlateThick/Za) ;
139 -std::exp(-0.5 * aMa) * std::si << 184 // G4complex Cb(1.0+0.5*fGasThick*Mb,fGasThick/Zb) ;
140 185
141 G4complex Hb(std::exp(-0.5 * bMb) * std::cos << 186 G4complex Ha( std::exp(-0.5*aMa)*std::cos(aZa),
142 -std::exp(-0.5 * bMb) * std::si << 187 -std::exp(-0.5*aMa)*std::sin(aZa) ) ;
>> 188
>> 189 G4complex Hb( std::exp(-0.5*bMb)*std::cos(bZb),
>> 190 -std::exp(-0.5*bMb)*std::sin(bZb) ) ;
143 191
144 G4complex H = Ha * Hb; << 192 G4complex H = Ha*Hb ;
145 G4complex Hs = std::conj(H); <<
146 193
147 G4complex F2 = (1.0 - Ha) * (Qa - Ha) * Hb * << 194 G4complex Hs = std::conj(H) ;
148 F2 *= std::pow(Q, G4double(fPlateNumber)) - <<
149 195
150 G4double result = (1. - std::pow(Q, G4double << 196 // G4complex F1 = ( 0.5*(1+Qa)*(1+H) - Ha - Qa*Hb )/(1-H) ;
151 result *= (1. - Qa) * (1. + Qa - 2. * std::s <<
152 result /= (1. - std::sqrt(Q)) * (1. - std::s <<
153 4. * std::sqrt(Q) * std::sin(0.5 * <<
154 std::sin(0.5 * (aZa + bZb)); <<
155 197
156 G4double I2 = 1.; << 198 G4complex F2 = (1.0-Ha)*(Qa-Ha)*Hb*(1.0-Hs)*(Q-Hs) ;
157 I2 /= (1. - std::sqrt(Q)) * (1. - std::sqrt( <<
158 4. * std::sqrt(Q) * std::sin(0.5 * (aZ <<
159 std::sin(0.5 * (aZa + bZb)); <<
160 199
161 I2 /= Q * ((std::sqrt(Q) - std::cos(aZa + bZ << 200 F2 *= std::pow(Q,G4double(fPlateNumber)) - std::pow(H,fPlateNumber) ;
162 (std::sqrt(Q) - std::cos(aZa + <<
163 std::sin(aZa + bZb) * std::sin(aZ <<
164 201
165 G4complex stack = 2. * I2 * F2; << 202 result = ( 1. - std::pow(Q,G4double(fPlateNumber)) )/( 1. - Q ) ;
166 stack += result; <<
167 stack *= OneInterfaceXTRdEdx(energy, gamma, <<
168 203
169 return std::real(stack); << 204 result *= (1. - Qa)*(1. + Qa - 2.*std::sqrt(Qa)*std::cos(aZa)) ;
>> 205
>> 206 result /= (1. - std::sqrt(Q))*(1. - std::sqrt(Q)) +
>> 207 4.*std::sqrt(Q)*std::sin(0.5*(aZa+bZb))*std::sin(0.5*(aZa+bZb)) ;
>> 208
>> 209 I2 = 1.; // 2.0*std::real(F2) ;
>> 210
>> 211 I2 /= (1. - std::sqrt(Q))*(1. - std::sqrt(Q)) +
>> 212 4.*std::sqrt(Q)*std::sin(0.5*(aZa+bZb))*std::sin(0.5*(aZa+bZb)) ;
>> 213
>> 214 I2 /= Q*( (std::sqrt(Q)-std::cos(aZa+bZb))*(std::sqrt(Q)-std::cos(aZa+bZb)) +
>> 215 std::sin(aZa+bZb)*std::sin(aZa+bZb) ) ;
>> 216
>> 217 G4complex stack = 2.*I2*F2;
>> 218 stack += result;
>> 219 stack *= OneInterfaceXTRdEdx(energy,gamma,varAngle);
>> 220
>> 221 // result += I2 ;
>> 222 result = std::real(stack);
>> 223
>> 224 return result ;
170 } 225 }
>> 226
>> 227
>> 228 //
>> 229 //
>> 230 ////////////////////////////////////////////////////////////////////////////
>> 231
>> 232
>> 233
>> 234
>> 235
>> 236
>> 237
>> 238
171 239