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25 // 25 //
>> 26 //
>> 27 // $Id$
>> 28 //
>> 29
>> 30 #include <complex>
26 31
27 #include "G4RegularXTRadiator.hh" 32 #include "G4RegularXTRadiator.hh"
>> 33 #include "G4PhysicalConstants.hh"
>> 34 #include "Randomize.hh"
28 35
29 #include "G4Gamma.hh" 36 #include "G4Gamma.hh"
30 #include "G4PhysicalConstants.hh" <<
31 37
32 ////////////////////////////////////////////// 38 ////////////////////////////////////////////////////////////////////////////
>> 39 //
33 // Constructor, destructor 40 // Constructor, destructor
34 G4RegularXTRadiator::G4RegularXTRadiator(G4Log << 41
35 G4Mat << 42 G4RegularXTRadiator::G4RegularXTRadiator(G4LogicalVolume *anEnvelope,
36 G4Mat << 43 G4Material* foilMat,G4Material* gasMat,
37 G4dou << 44 G4double a, G4double b, G4int n,
38 const << 45 const G4String& processName) :
39 : G4VXTRenergyLoss(anEnvelope, foilMat, gasM << 46 G4VXTRenergyLoss(anEnvelope,foilMat,gasMat,a,b,n,processName)
40 { 47 {
41 G4cout << "Regular X-ray TR radiator EM proc << 48 G4cout<<"Regular X-ray TR radiator EM process is called"<<G4endl ;
42 49
43 // Build energy and angular integral spectra 50 // Build energy and angular integral spectra of X-ray TR photons from
44 // a radiator 51 // a radiator
45 52
46 fAlphaPlate = 10000; 53 fAlphaPlate = 10000;
47 fAlphaGas = 1000; 54 fAlphaGas = 1000;
48 G4cout << "fAlphaPlate = " << fAlphaPlate << << 55 G4cout<<"fAlphaPlate = "<<fAlphaPlate<<" ; fAlphaGas = "<<fAlphaGas<<G4endl ;
49 << G4endl; << 56
>> 57 // BuildTable() ;
50 } 58 }
51 59
52 ////////////////////////////////////////////// 60 ///////////////////////////////////////////////////////////////////////////
53 G4RegularXTRadiator::~G4RegularXTRadiator() = <<
54 61
55 void G4RegularXTRadiator::ProcessDescription(s << 62 G4RegularXTRadiator::~G4RegularXTRadiator()
56 { 63 {
57 out << "Simulation of X-ray transition radia << 64 ;
58 "relativistic charged particles cross <<
59 "two materials. Thicknesses of plates <<
60 } 65 }
61 66
62 ////////////////////////////////////////////// 67 ///////////////////////////////////////////////////////////////////////////
>> 68 //
>> 69 //
>> 70
63 G4double G4RegularXTRadiator::SpectralXTRdEdx( 71 G4double G4RegularXTRadiator::SpectralXTRdEdx(G4double energy)
64 { 72 {
65 G4double result, sum = 0., tmp, cof1, cof2, << 73 G4double result, sum = 0., tmp, cof1, cof2, cofMin, cofPHC, theta2, theta2k;
66 G4double aMa, bMb, sigma, dump; << 74 G4double aMa, bMb ,sigma, dump;
67 G4int k, kMax, kMin; 75 G4int k, kMax, kMin;
68 76
69 aMa = fPlateThick * GetPlateLinearPhotoAbs << 77 aMa = fPlateThick*GetPlateLinearPhotoAbs(energy);
70 bMb = fGasThick * GetGasLinearPhotoAbs(ene << 78 bMb = fGasThick*GetGasLinearPhotoAbs(energy);
71 sigma = 0.5 * (aMa + bMb); << 79 sigma = 0.5*(aMa + bMb);
72 dump = std::exp(-fPlateNumber * sigma); << 80 dump = std::exp(-fPlateNumber*sigma);
73 if(verboseLevel > 2) << 81 if(verboseLevel > 2) G4cout<<" dump = "<<dump<<G4endl;
74 G4cout << " dump = " << dump << G4endl; << 82 cofPHC = 4*pi*hbarc;
75 cofPHC = 4 * pi * hbarc; << 83 tmp = (fSigma1 - fSigma2)/cofPHC/energy;
76 tmp = (fSigma1 - fSigma2) / cofPHC / ener << 84 cof1 = fPlateThick*tmp;
77 cof1 = fPlateThick * tmp; << 85 cof2 = fGasThick*tmp;
78 cof2 = fGasThick * tmp; <<
79 86
80 cofMin = energy * (fPlateThick + fGasThick) << 87 cofMin = energy*(fPlateThick + fGasThick)/fGamma/fGamma;
81 cofMin += (fPlateThick * fSigma1 + fGasThick << 88 cofMin += (fPlateThick*fSigma1 + fGasThick*fSigma2)/energy;
82 cofMin /= cofPHC; 89 cofMin /= cofPHC;
83 90
84 theta2 = cofPHC / (energy * (fPlateThick + f << 91 theta2 = cofPHC/(energy*(fPlateThick + fGasThick));
>> 92
>> 93 // if (fGamma < 1200) kMin = G4int(cofMin); // 1200 ?
>> 94 // else kMin = 1;
>> 95
85 96
86 kMin = G4int(cofMin); 97 kMin = G4int(cofMin);
87 if(cofMin > kMin) << 98 if (cofMin > kMin) kMin++;
88 kMin++; << 99
>> 100 // tmp = (fPlateThick + fGasThick)*energy*fMaxThetaTR;
>> 101 // tmp /= cofPHC;
>> 102 // kMax = G4int(tmp);
>> 103 // if(kMax < 0) kMax = 0;
>> 104 // kMax += kMin;
>> 105
89 106
90 kMax = kMin + 49; << 107 kMax = kMin + 49; // 19; // kMin + G4int(tmp);
>> 108
>> 109 // tmp /= fGamma;
>> 110 // if( G4int(tmp) < kMin ) kMin = G4int(tmp);
91 111
92 if(verboseLevel > 2) 112 if(verboseLevel > 2)
93 { << 113 {
94 G4cout << cof1 << " " << cof2 << " << 114 G4cout<<cof1<<" "<<cof2<<" "<<cofMin<<G4endl;
95 G4cout << "kMin = " << kMin << "; kMax << 115 G4cout<<"kMin = "<<kMin<<"; kMax = "<<kMax<<G4endl;
96 } 116 }
97 for(k = kMin; k <= kMax; ++k) << 117 for( k = kMin; k <= kMax; k++ )
98 { 118 {
99 tmp = pi * fPlateThick * (k + cof2) / ( << 119 tmp = pi*fPlateThick*(k + cof2)/(fPlateThick + fGasThick);
100 result = (k - cof1) * (k - cof1) * (k + co << 120 result = (k - cof1)*(k - cof1)*(k + cof2)*(k + cof2);
101 if(k == kMin && kMin == G4int(cofMin)) << 121 // tmp = std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result;
>> 122 if( k == kMin && kMin == G4int(cofMin) )
102 { 123 {
103 sum += << 124 sum += 0.5*std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result;
104 0.5 * std::sin(tmp) * std::sin(tmp) * <<
105 } 125 }
106 else 126 else
107 { 127 {
108 sum += std::sin(tmp) * std::sin(tmp) * s << 128 sum += std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result;
109 } 129 }
110 theta2k = std::sqrt(theta2 * std::abs(k - << 130 theta2k = std::sqrt(theta2*std::abs(k-cofMin));
111 131
112 if(verboseLevel > 2) 132 if(verboseLevel > 2)
113 { << 133 {
114 G4cout << k << " " << theta2k << " << 134 // G4cout<<"k = "<<k<<"; sqrt(theta2k) = "<<theta2k<<"; tmp = "<<std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result
115 << std::sin(tmp) * std::sin(tmp) << 135 // <<"; sum = "<<sum<<G4endl;
116 << " " << sum << G4endl; << 136 G4cout<<k<<" "<<theta2k<<" "<<std::sin(tmp)*std::sin(tmp)*std::abs(k-cofMin)/result
117 } << 137 <<" "<<sum<<G4endl;
>> 138 }
118 } 139 }
119 result = 2 * (cof1 + cof2) * (cof1 + cof2) * << 140 result = 2*( cof1 + cof2 )*( cof1 + cof2 )*sum/energy;
120 result *= (1 - dump + 2 * dump * fPlateNumbe << 141 // result *= ( 1 - std::exp(-0.5*fPlateNumber*sigma) )/( 1 - std::exp(-0.5*sigma) );
121 << 142 // fPlateNumber;
>> 143 result *= ( 1 - dump + 2*dump*fPlateNumber );
>> 144 /*
>> 145 fEnergy = energy;
>> 146 // G4Integrator<G4VXTRenergyLoss,G4double(G4VXTRenergyLoss::*)(G4double)> integral;
>> 147 G4Integrator<G4TransparentRegXTRadiator,G4double(G4VXTRenergyLoss::*)(G4double)> integral;
>> 148
>> 149 tmp = integral.Legendre96(this,&G4VXTRenergyLoss::SpectralAngleXTRdEdx,
>> 150 0.0,0.3*fMaxThetaTR) +
>> 151 integral.Legendre96(this,&G4VXTRenergyLoss::SpectralAngleXTRdEdx,
>> 152 0.3*fMaxThetaTR,0.6*fMaxThetaTR) +
>> 153 integral.Legendre96(this,&G4VXTRenergyLoss::SpectralAngleXTRdEdx,
>> 154 0.6*fMaxThetaTR,fMaxThetaTR) ;
>> 155 result += tmp;
>> 156 */
122 return result; 157 return result;
123 } 158 }
124 159
>> 160
>> 161
125 ////////////////////////////////////////////// 162 ///////////////////////////////////////////////////////////////////////////
>> 163 //
126 // Approximation for radiator interference fac 164 // Approximation for radiator interference factor for the case of
127 // fully Regular radiator. The plate and gas g << 165 // fully Regular radiator. The plate and gas gap thicknesses are fixed .
128 // The mean values of the plate and gas gap th << 166 // The mean values of the plate and gas gap thicknesses
129 // are supposed to be about XTR formation zone << 167 // are supposed to be about XTR formation zones but much less than
130 // mean absorption length of XTR photons in co << 168 // mean absorption length of XTR photons in coresponding material.
131 << 169
132 G4double G4RegularXTRadiator::GetStackFactor(G << 170 G4double
133 G << 171 G4RegularXTRadiator::GetStackFactor( G4double energy,
>> 172 G4double gamma, G4double varAngle )
134 { 173 {
>> 174
135 // some gamma (10000/1000) like algorithm 175 // some gamma (10000/1000) like algorithm
136 176
137 G4double result, Za, Zb, Ma, Mb; 177 G4double result, Za, Zb, Ma, Mb;
138 << 178
139 Za = GetPlateFormationZone(energy, gamma, va << 179 Za = GetPlateFormationZone(energy,gamma,varAngle);
140 Zb = GetGasFormationZone(energy, gamma, varA << 180 Zb = GetGasFormationZone(energy,gamma,varAngle);
141 181
142 Ma = GetPlateLinearPhotoAbs(energy); 182 Ma = GetPlateLinearPhotoAbs(energy);
143 Mb = GetGasLinearPhotoAbs(energy); 183 Mb = GetGasLinearPhotoAbs(energy);
144 184
145 G4complex Ca(1.0 + 0.5 * fPlateThick * Ma / <<
146 fPlateThick / Za / fAlphaPlate) <<
147 G4complex Cb(1.0 + 0.5 * fGasThick * Mb / fA <<
148 fGasThick / Zb / fAlphaGas); <<
149 185
150 G4complex Ha = std::pow(Ca, -fAlphaPlate); << 186 G4complex Ca(1.0+0.5*fPlateThick*Ma/fAlphaPlate,fPlateThick/Za/fAlphaPlate);
151 G4complex Hb = std::pow(Cb, -fAlphaGas); << 187 G4complex Cb(1.0+0.5*fGasThick*Mb/fAlphaGas,fGasThick/Zb/fAlphaGas);
152 G4complex H = Ha * Hb; << 188
>> 189 G4complex Ha = std::pow(Ca,-fAlphaPlate);
>> 190 G4complex Hb = std::pow(Cb,-fAlphaGas);
>> 191 G4complex H = Ha*Hb;
>> 192
>> 193 G4complex F1 = (1.0 - Ha)*(1.0 - Hb )/(1.0 - H)
>> 194 * G4double(fPlateNumber);
>> 195
>> 196 G4complex F2 = (1.0-Ha)*(1.0-Ha)*Hb/(1.0-H)/(1.0-H)
>> 197 * (1.0 - std::pow(H,fPlateNumber));
>> 198
>> 199 G4complex R = (F1 + F2)*OneInterfaceXTRdEdx(energy,gamma,varAngle);
>> 200
>> 201 result = 2.0*std::real(R);
>> 202
>> 203 return result;
>> 204
>> 205 /*
>> 206 // numerically stable but slow algorithm
>> 207
>> 208 G4double result, Qa, Qb, Q, aZa, bZb, aMa, bMb; // , D;
>> 209
>> 210 aZa = fPlateThick/GetPlateFormationZone(energy,gamma,varAngle);
>> 211 bZb = fGasThick/GetGasFormationZone(energy,gamma,varAngle);
>> 212 aMa = fPlateThick*GetPlateLinearPhotoAbs(energy);
>> 213 bMb = fGasThick*GetGasLinearPhotoAbs(energy);
>> 214 Qa = std::exp(-aMa);
>> 215 Qb = std::exp(-bMb);
>> 216 Q = Qa*Qb;
>> 217 G4complex Ha( std::exp(-0.5*aMa)*std::cos(aZa),
>> 218 -std::exp(-0.5*aMa)*std::sin(aZa) );
>> 219 G4complex Hb( std::exp(-0.5*bMb)*std::cos(bZb),
>> 220 -std::exp(-0.5*bMb)*std::sin(bZb) );
>> 221 G4complex H = Ha*Hb;
>> 222
>> 223 G4complex Hs = conj(H);
>> 224 D = 1.0 /( (1 - std::sqrt(Q))*(1 - std::sqrt(Q)) +
>> 225 4*std::sqrt(Q)*std::sin(0.5*(aZa+bZb))*std::sin(0.5*(aZa+bZb)) );
>> 226 G4complex F1 = (1.0 - Ha)*(1.0 - Hb)*(1.0 - Hs)
>> 227 * G4double(fPlateNumber)*D;
>> 228 G4complex F2 = (1.0-Ha)*(1.0-Ha)*Hb*(1.0-Hs)*(1.0-Hs)
>> 229 * (1.0 - std::pow(H,fPlateNumber)) * D*D;
>> 230 G4complex R = (F1 + F2)*OneInterfaceXTRdEdx(energy,gamma,varAngle);
>> 231
>> 232
>> 233 G4complex S(0.,0.), c(1.,0.);
>> 234 G4int k;
>> 235 for(k = 1; k < fPlateNumber; k++)
>> 236 {
>> 237 c *= H;
>> 238 S += ( G4double(fPlateNumber) - G4double(k) )*c;
>> 239 }
>> 240 G4complex R = (2.- Ha - 1./Ha)*S + (1. - Ha)*G4double(fPlateNumber);
>> 241 R *= OneInterfaceXTRdEdx(energy,gamma,varAngle);
>> 242 result = 2.0*std::real(R);
>> 243 return result;
>> 244 */
>> 245 }
>> 246
>> 247
>> 248 //
>> 249 //
>> 250 ////////////////////////////////////////////////////////////////////////////
>> 251
>> 252
>> 253
153 254
154 G4complex F1 = (1.0 - Ha) * (1.0 - Hb) / (1. <<
155 255
156 G4complex F2 = (1.0 - Ha) * (1.0 - Ha) * Hb <<
157 (1.0 - std::pow(H, fPlateNumb <<
158 256
159 G4complex R = (F1 + F2) * OneInterfaceXTRdEd <<
160 257
161 result = 2.0 * std::real(R); <<
162 258
163 return result; <<
164 } <<
165 259