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25 // 25 //
>> 26 //
>> 27 // $Id: G4TransparentRegXTRadiator.cc,v 1.10 2006/06/29 19:56:21 gunter Exp $
>> 28 // GEANT4 tag $Name: geant4-08-02 $
>> 29 //
>> 30
>> 31 #include <complex>
26 32
27 #include "G4TransparentRegXTRadiator.hh" 33 #include "G4TransparentRegXTRadiator.hh"
>> 34 #include "Randomize.hh"
>> 35 #include "G4Integrator.hh"
>> 36 #include "G4Gamma.hh"
28 37
29 #include "G4PhysicalConstants.hh" << 38 using namespace std;
30 39
31 ////////////////////////////////////////////// 40 ////////////////////////////////////////////////////////////////////////////
>> 41 //
32 // Constructor, destructor 42 // Constructor, destructor
33 G4TransparentRegXTRadiator::G4TransparentRegXT << 43
34 G4LogicalVolume* anEnvelope, G4Material* foi << 44 G4TransparentRegXTRadiator::G4TransparentRegXTRadiator(G4LogicalVolume *anEnvelope,
35 G4double a, G4double b, G4int n, const G4Str << 45 G4Material* foilMat,G4Material* gasMat,
36 : G4VXTRenergyLoss(anEnvelope, foilMat, gasM << 46 G4double a, G4double b, G4int n,
>> 47 const G4String& processName) :
>> 48 G4VXTRenergyLoss(anEnvelope,foilMat,gasMat,a,b,n,processName)
37 { 49 {
38 if(verboseLevel > 0) << 50 G4cout<<"Regular transparent X-ray TR radiator EM process is called"<<G4endl;
39 G4cout << "Regular transparent X-ray TR r <<
40 << G4endl; <<
41 51
42 // Build energy and angular integral spectra 52 // Build energy and angular integral spectra of X-ray TR photons from
43 // a radiator 53 // a radiator
44 54
45 fAlphaPlate = 10000; 55 fAlphaPlate = 10000;
46 fAlphaGas = 1000; 56 fAlphaGas = 1000;
>> 57
>> 58 // BuildTable();
47 } 59 }
48 60
49 ////////////////////////////////////////////// 61 ///////////////////////////////////////////////////////////////////////////
50 G4TransparentRegXTRadiator::~G4TransparentRegX <<
51 62
52 ////////////////////////////////////////////// << 63 G4TransparentRegXTRadiator::~G4TransparentRegXTRadiator()
53 void G4TransparentRegXTRadiator::ProcessDescri <<
54 { 64 {
55 out << "Simulation of forward X-ray transiti << 65 ;
56 "relativistic charged particles cross <<
57 "two materials.\n"; <<
58 } 66 }
59 67
60 ////////////////////////////////////////////// 68 ///////////////////////////////////////////////////////////////////////////
>> 69 //
>> 70 //
>> 71
61 G4double G4TransparentRegXTRadiator::SpectralX 72 G4double G4TransparentRegXTRadiator::SpectralXTRdEdx(G4double energy)
62 { 73 {
63 G4double result, sum = 0., tmp, cof1, cof2, << 74 G4double result, sum = 0., tmp, cof1, cof2, cofMin, cofPHC,aMa, bMb, sigma;
64 G4int k, kMax, kMin; 75 G4int k, kMax, kMin;
65 76
66 cofPHC = 4. * pi * hbarc; << 77 aMa = fPlateThick*GetPlateLinearPhotoAbs(energy);
67 tmp = (fSigma1 - fSigma2) / cofPHC / ener << 78 bMb = fGasThick*GetGasLinearPhotoAbs(energy);
68 cof1 = fPlateThick * tmp; << 79 sigma = aMa + bMb;
69 cof2 = fGasThick * tmp; << 80
>> 81 cofPHC = 4*pi*hbarc;
>> 82 tmp = (fSigma1 - fSigma2)/cofPHC/energy;
>> 83 cof1 = fPlateThick*tmp;
>> 84 cof2 = fGasThick*tmp;
70 85
71 cofMin = energy * (fPlateThick + fGasThick) << 86 cofMin = energy*(fPlateThick + fGasThick)/fGamma/fGamma;
72 cofMin += (fPlateThick * fSigma1 + fGasThick << 87 cofMin += (fPlateThick*fSigma1 + fGasThick*fSigma2)/energy;
73 cofMin /= cofPHC; 88 cofMin /= cofPHC;
74 89
75 theta2 = cofPHC / (energy * (fPlateThick + f << 90 // if (fGamma < 1200) kMin = G4int(cofMin); // 1200 ?
>> 91 // else kMin = 1;
>> 92
76 93
77 kMin = G4int(cofMin); 94 kMin = G4int(cofMin);
78 if(cofMin > kMin) << 95 if (cofMin > kMin) kMin++;
79 kMin++; <<
80 96
81 kMax = kMin + 49; << 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 + 19; // 9; // kMin + G4int(tmp);
>> 105
>> 106 // tmp /= fGamma;
>> 107 // if( G4int(tmp) < kMin ) kMin = G4int(tmp);
>> 108 // G4cout<<"kMin = "<<kMin<<"; kMax = "<<kMax<<G4endl;
82 109
83 if(verboseLevel > 2) << 110 for( k = kMin; k <= kMax; k++ )
84 { 111 {
85 G4cout << cof1 << " " << cof2 << " << 112 tmp = pi*fPlateThick*(k + cof2)/(fPlateThick + fGasThick);
86 G4cout << "kMin = " << kMin << "; kMax << 113 result = (k - cof1)*(k - cof1)*(k + cof2)*(k + cof2);
87 } << 114 // tmp = sin(tmp)*sin(tmp)*abs(k-cofMin)/result;
88 for(k = kMin; k <= kMax; ++k) << 115 if( k == kMin && kMin == G4int(cofMin) )
89 { <<
90 tmp = pi * fPlateThick * (k + cof2) / ( <<
91 result = (k - cof1) * (k - cof1) * (k + co <<
92 if(k == kMin && kMin == G4int(cofMin)) <<
93 { 116 {
94 sum += << 117 sum += 0.5*sin(tmp)*sin(tmp)*abs(k-cofMin)/result;
95 0.5 * std::sin(tmp) * std::sin(tmp) * <<
96 } 118 }
97 else 119 else
98 { 120 {
99 sum += std::sin(tmp) * std::sin(tmp) * s << 121 sum += sin(tmp)*sin(tmp)*abs(k-cofMin)/result;
100 } <<
101 theta2k = std::sqrt(theta2 * std::abs(k - <<
102 <<
103 if(verboseLevel > 2) <<
104 { <<
105 G4cout << k << " " << theta2k << " <<
106 << std::sin(tmp) * std::sin(tmp) <<
107 << " " << sum << G4endl; <<
108 } 122 }
>> 123 if(fVerbose > 2)
>> 124 {
>> 125 G4cout<<"k = "<<k<<"; tmp = "<<sin(tmp)*sin(tmp)*abs(k-cofMin)/result
>> 126 <<"; sum = "<<sum<<G4endl;
>> 127 }
109 } 128 }
110 result = 4. * (cof1 + cof2) * (cof1 + cof2) << 129 result = 4*( cof1 + cof2 )*( cof1 + cof2 )*sum/energy;
111 result *= fPlateNumber; << 130 // result *= ( 1 - exp(-0.5*fPlateNumber*sigma) )/( 1 - exp(-0.5*sigma) );
112 << 131 // fPlateNumber;
>> 132 result *= fPlateNumber; // *exp(-0.5*fPlateNumber*sigma);
>> 133 // +1-exp(-0.5*fPlateNumber*sigma);
>> 134 /*
>> 135 fEnergy = energy;
>> 136 // G4Integrator<G4VXTRenergyLoss,G4double(G4VXTRenergyLoss::*)(G4double)> integral;
>> 137 G4Integrator<G4TransparentRegXTRadiator,G4double(G4VXTRenergyLoss::*)(G4double)> integral;
>> 138
>> 139 tmp = integral.Legendre96(this,&G4VXTRenergyLoss::SpectralAngleXTRdEdx,
>> 140 0.0,0.3*fMaxThetaTR) +
>> 141 integral.Legendre96(this,&G4VXTRenergyLoss::SpectralAngleXTRdEdx,
>> 142 0.3*fMaxThetaTR,0.6*fMaxThetaTR) +
>> 143 integral.Legendre96(this,&G4VXTRenergyLoss::SpectralAngleXTRdEdx,
>> 144 0.6*fMaxThetaTR,fMaxThetaTR) ;
>> 145 result += tmp;
>> 146 */
113 return result; 147 return result;
114 } 148 }
115 149
>> 150
116 ////////////////////////////////////////////// 151 ///////////////////////////////////////////////////////////////////////////
>> 152 //
117 // Approximation for radiator interference fac 153 // Approximation for radiator interference factor for the case of
118 // fully Regular radiator. The plate and gas g << 154 // fully Regular radiator. The plate and gas gap thicknesses are fixed .
119 // The mean values of the plate and gas gap th << 155 // The mean values of the plate and gas gap thicknesses
120 // are supposed to be about XTR formation zone << 156 // are supposed to be about XTR formation zones but much less than
121 // mean absorption length of XTR photons in co << 157 // mean absorption length of XTR photons in coresponding material.
122 G4double G4TransparentRegXTRadiator::GetStackF << 158
123 << 159 G4double
124 << 160 G4TransparentRegXTRadiator::GetStackFactor( G4double energy,
>> 161 G4double gamma, G4double varAngle )
125 { 162 {
126 G4double result, Qa, Qb, Q, aZa, bZb, aMa, b << 163 /*
127 << 164 G4double result, Za, Zb, Ma, Mb, sigma;
128 aZa = fPlateThick / GetPlateFormationZone( << 165
129 bZb = fGasThick / GetGasFormationZone(ener << 166 Za = GetPlateFormationZone(energy,gamma,varAngle);
130 aMa = fPlateThick * GetPlateLinearPhotoAbs << 167 Zb = GetGasFormationZone(energy,gamma,varAngle);
131 bMb = fGasThick * GetGasLinearPhotoAbs(ene << 168 Ma = GetPlateLinearPhotoAbs(energy);
132 sigma = aMa * fPlateThick + bMb * fGasThick; << 169 Mb = GetGasLinearPhotoAbs(energy);
133 Qa = std::exp(-0.5 * aMa); << 170 sigma = Ma*fPlateThick + Mb*fGasThick;
134 Qb = std::exp(-0.5 * bMb); << 171
135 Q = Qa * Qb; << 172 G4complex Ca(1.0+0.5*fPlateThick*Ma/fAlphaPlate,fPlateThick/Za/fAlphaPlate);
136 << 173 G4complex Cb(1.0+0.5*fGasThick*Mb/fAlphaGas,fGasThick/Zb/fAlphaGas);
137 G4complex Ha(Qa * std::cos(aZa), -Qa * std:: << 174
138 G4complex Hb(Qb * std::cos(bZb), -Qb * std:: << 175 G4complex Ha = pow(Ca,-fAlphaPlate);
139 G4complex H = Ha * Hb; << 176 G4complex Hb = pow(Cb,-fAlphaGas);
>> 177 G4complex H = Ha*Hb;
>> 178 G4complex F1 = (1.0 - Ha)*(1.0 - Hb )/(1.0 - H)
>> 179 * G4double(fPlateNumber) ;
>> 180 G4complex F2 = (1.0-Ha)*(1.0-Ha)*Hb/(1.0-H)/(1.0-H)
>> 181 * (1.0 - exp(-0.5*fPlateNumber*sigma)) ;
>> 182 // *(1.0 - pow(H,fPlateNumber)) ;
>> 183 G4complex R = (F1 + F2)*OneInterfaceXTRdEdx(energy,gamma,varAngle);
>> 184 // G4complex R = F2*OneInterfaceXTRdEdx(energy,gamma,varAngle);
>> 185 result = 2.0*real(R);
>> 186 return result;
>> 187 */
>> 188 // numerically unstable result
>> 189
>> 190 G4double result, Qa, Qb, Q, aZa, bZb, aMa, bMb, D, sigma;
>> 191
>> 192 aZa = fPlateThick/GetPlateFormationZone(energy,gamma,varAngle);
>> 193 bZb = fGasThick/GetGasFormationZone(energy,gamma,varAngle);
>> 194 aMa = fPlateThick*GetPlateLinearPhotoAbs(energy);
>> 195 bMb = fGasThick*GetGasLinearPhotoAbs(energy);
>> 196 sigma = aMa*fPlateThick + bMb*fGasThick;
>> 197 Qa = exp(-0.5*aMa);
>> 198 Qb = exp(-0.5*bMb);
>> 199 Q = Qa*Qb;
>> 200
>> 201 G4complex Ha( Qa*cos(aZa), -Qa*sin(aZa) );
>> 202 G4complex Hb( Qb*cos(bZb), -Qb*sin(bZb) );
>> 203 G4complex H = Ha*Hb;
140 G4complex Hs = conj(H); 204 G4complex Hs = conj(H);
141 D = 1.0 / ((1 - Q) * (1 - Q) + << 205 D = 1.0 /( (1 - Q)*(1 - Q) +
142 4 * Q * std::sin(0.5 * (aZa + bZb << 206 4*Q*sin(0.5*(aZa + bZb))*sin(0.5*(aZa + bZb)) );
143 G4complex F1 = << 207 G4complex F1 = (1.0 - Ha)*(1.0 - Hb)*(1.0 - Hs)
144 (1.0 - Ha) * (1.0 - Hb) * (1.0 - Hs) * G4d << 208 * G4double(fPlateNumber)*D;
145 G4complex F2 = (1.0 - Ha) * (1.0 - Ha) * Hb << 209 G4complex F2 = (1.0 - Ha)*(1.0 - Ha)*Hb*(1.0 - Hs)*(1.0 - Hs)
146 (1.0 - std::exp(-0.5 * fPlate << 210 // * (1.0 - pow(H,fPlateNumber)) * D*D;
147 G4complex R = (F1 + F2) * OneInterfaceXTRdEd << 211 * (1.0 - exp(-0.5*fPlateNumber*sigma)) * D*D;
148 result = 2.0 * std::real(R); << 212 G4complex R = (F1 + F2)*OneInterfaceXTRdEdx(energy,gamma,varAngle);
149 return result; << 213 result = 2.0*real(R);
>> 214 return result;
>> 215
150 } 216 }
>> 217
>> 218
>> 219 //
>> 220 //
>> 221 ////////////////////////////////////////////////////////////////////////////
>> 222
>> 223
>> 224
>> 225
>> 226
>> 227
>> 228
>> 229
151 230