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25 // 25 //
>> 26 //
>> 27 // $Id: G4RegularXTRadiator.cc,v 1.10 2010-06-16 15:34:15 gcosmo Exp $
>> 28 // GEANT4 tag $Name: geant4-09-04-patch-02 $
>> 29 //
>> 30
>> 31 #include <complex>
26 32
27 #include "G4RegularXTRadiator.hh" 33 #include "G4RegularXTRadiator.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 ////////////////////////////////////////////// <<
63 G4double G4RegularXTRadiator::SpectralXTRdEdx( <<
64 { <<
65 G4double result, sum = 0., tmp, cof1, cof2, <<
66 G4double aMa, bMb, sigma, dump; <<
67 G4int k, kMax, kMin; <<
68 <<
69 aMa = fPlateThick * GetPlateLinearPhotoAbs <<
70 bMb = fGasThick * GetGasLinearPhotoAbs(ene <<
71 sigma = 0.5 * (aMa + bMb); <<
72 dump = std::exp(-fPlateNumber * sigma); <<
73 if(verboseLevel > 2) <<
74 G4cout << " dump = " << dump << G4endl; <<
75 cofPHC = 4 * pi * hbarc; <<
76 tmp = (fSigma1 - fSigma2) / cofPHC / ener <<
77 cof1 = fPlateThick * tmp; <<
78 cof2 = fGasThick * tmp; <<
79 <<
80 cofMin = energy * (fPlateThick + fGasThick) <<
81 cofMin += (fPlateThick * fSigma1 + fGasThick <<
82 cofMin /= cofPHC; <<
83 <<
84 theta2 = cofPHC / (energy * (fPlateThick + f <<
85 <<
86 kMin = G4int(cofMin); <<
87 if(cofMin > kMin) <<
88 kMin++; <<
89 67
90 kMax = kMin + 49; <<
91 <<
92 if(verboseLevel > 2) <<
93 { <<
94 G4cout << cof1 << " " << cof2 << " <<
95 G4cout << "kMin = " << kMin << "; kMax <<
96 } <<
97 for(k = kMin; k <= kMax; ++k) <<
98 { <<
99 tmp = pi * fPlateThick * (k + cof2) / ( <<
100 result = (k - cof1) * (k - cof1) * (k + co <<
101 if(k == kMin && kMin == G4int(cofMin)) <<
102 { <<
103 sum += <<
104 0.5 * std::sin(tmp) * std::sin(tmp) * <<
105 } <<
106 else <<
107 { <<
108 sum += std::sin(tmp) * std::sin(tmp) * s <<
109 } <<
110 theta2k = std::sqrt(theta2 * std::abs(k - <<
111 <<
112 if(verboseLevel > 2) <<
113 { <<
114 G4cout << k << " " << theta2k << " <<
115 << std::sin(tmp) * std::sin(tmp) <<
116 << " " << sum << G4endl; <<
117 } <<
118 } <<
119 result = 2 * (cof1 + cof2) * (cof1 + cof2) * <<
120 result *= (1 - dump + 2 * dump * fPlateNumbe <<
121 <<
122 return result; <<
123 } <<
124 68
125 ////////////////////////////////////////////// 69 ///////////////////////////////////////////////////////////////////////////
>> 70 //
126 // Approximation for radiator interference fac 71 // Approximation for radiator interference factor for the case of
127 // fully Regular radiator. The plate and gas g << 72 // fully Regular radiator. The plate and gas gap thicknesses are fixed .
128 // The mean values of the plate and gas gap th << 73 // The mean values of the plate and gas gap thicknesses
129 // are supposed to be about XTR formation zone << 74 // are supposed to be about XTR formation zones but much less than
130 // mean absorption length of XTR photons in co << 75 // mean absorption length of XTR photons in coresponding material.
131 << 76
132 G4double G4RegularXTRadiator::GetStackFactor(G << 77 G4double
133 G << 78 G4RegularXTRadiator::GetStackFactor( G4double energy,
>> 79 G4double gamma, G4double varAngle )
134 { 80 {
>> 81
135 // some gamma (10000/1000) like algorithm 82 // some gamma (10000/1000) like algorithm
136 83
137 G4double result, Za, Zb, Ma, Mb; 84 G4double result, Za, Zb, Ma, Mb;
138 << 85
139 Za = GetPlateFormationZone(energy, gamma, va << 86 Za = GetPlateFormationZone(energy,gamma,varAngle);
140 Zb = GetGasFormationZone(energy, gamma, varA << 87 Zb = GetGasFormationZone(energy,gamma,varAngle);
141 88
142 Ma = GetPlateLinearPhotoAbs(energy); 89 Ma = GetPlateLinearPhotoAbs(energy);
143 Mb = GetGasLinearPhotoAbs(energy); 90 Mb = GetGasLinearPhotoAbs(energy);
144 91
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 92
150 G4complex Ha = std::pow(Ca, -fAlphaPlate); << 93 G4complex Ca(1.0+0.5*fPlateThick*Ma/fAlphaPlate,fPlateThick/Za/fAlphaPlate);
151 G4complex Hb = std::pow(Cb, -fAlphaGas); << 94 G4complex Cb(1.0+0.5*fGasThick*Mb/fAlphaGas,fGasThick/Zb/fAlphaGas);
152 G4complex H = Ha * Hb; << 95
>> 96 G4complex Ha = std::pow(Ca,-fAlphaPlate);
>> 97 G4complex Hb = std::pow(Cb,-fAlphaGas);
>> 98 G4complex H = Ha*Hb;
>> 99
>> 100 G4complex F1 = (1.0 - Ha)*(1.0 - Hb )/(1.0 - H)
>> 101 * G4double(fPlateNumber);
>> 102
>> 103 G4complex F2 = (1.0-Ha)*(1.0-Ha)*Hb/(1.0-H)/(1.0-H)
>> 104 * (1.0 - std::pow(H,fPlateNumber));
>> 105
>> 106 G4complex R = (F1 + F2)*OneInterfaceXTRdEdx(energy,gamma,varAngle);
>> 107
>> 108 result = 2.0*std::real(R);
>> 109
>> 110 return result;
>> 111
>> 112 /*
>> 113 // numerically stable but slow algorithm
>> 114
>> 115 G4double result, Qa, Qb, Q, aZa, bZb, aMa, bMb; // , D;
>> 116
>> 117 aZa = fPlateThick/GetPlateFormationZone(energy,gamma,varAngle);
>> 118 bZb = fGasThick/GetGasFormationZone(energy,gamma,varAngle);
>> 119 aMa = fPlateThick*GetPlateLinearPhotoAbs(energy);
>> 120 bMb = fGasThick*GetGasLinearPhotoAbs(energy);
>> 121 Qa = std::exp(-aMa);
>> 122 Qb = std::exp(-bMb);
>> 123 Q = Qa*Qb;
>> 124 G4complex Ha( std::exp(-0.5*aMa)*std::cos(aZa),
>> 125 -std::exp(-0.5*aMa)*std::sin(aZa) );
>> 126 G4complex Hb( std::exp(-0.5*bMb)*std::cos(bZb),
>> 127 -std::exp(-0.5*bMb)*std::sin(bZb) );
>> 128 G4complex H = Ha*Hb;
>> 129
>> 130 G4complex Hs = conj(H);
>> 131 D = 1.0 /( (1 - std::sqrt(Q))*(1 - std::sqrt(Q)) +
>> 132 4*std::sqrt(Q)*std::sin(0.5*(aZa+bZb))*std::sin(0.5*(aZa+bZb)) );
>> 133 G4complex F1 = (1.0 - Ha)*(1.0 - Hb)*(1.0 - Hs)
>> 134 * G4double(fPlateNumber)*D;
>> 135 G4complex F2 = (1.0-Ha)*(1.0-Ha)*Hb*(1.0-Hs)*(1.0-Hs)
>> 136 * (1.0 - std::pow(H,fPlateNumber)) * D*D;
>> 137 G4complex R = (F1 + F2)*OneInterfaceXTRdEdx(energy,gamma,varAngle);
>> 138
>> 139
>> 140 G4complex S(0.,0.), c(1.,0.);
>> 141 G4int k;
>> 142 for(k = 1; k < fPlateNumber; k++)
>> 143 {
>> 144 c *= H;
>> 145 S += ( G4double(fPlateNumber) - G4double(k) )*c;
>> 146 }
>> 147 G4complex R = (2.- Ha - 1./Ha)*S + (1. - Ha)*G4double(fPlateNumber);
>> 148 R *= OneInterfaceXTRdEdx(energy,gamma,varAngle);
>> 149 result = 2.0*std::real(R);
>> 150 return result;
>> 151 */
>> 152 }
>> 153
>> 154
>> 155 //
>> 156 //
>> 157 ////////////////////////////////////////////////////////////////////////////
>> 158
>> 159
>> 160
153 161
154 G4complex F1 = (1.0 - Ha) * (1.0 - Hb) / (1. <<
155 162
156 G4complex F2 = (1.0 - Ha) * (1.0 - Ha) * Hb <<
157 (1.0 - std::pow(H, fPlateNumb <<
158 163
159 G4complex R = (F1 + F2) * OneInterfaceXTRdEd <<
160 164
161 result = 2.0 * std::real(R); <<
162 165
163 return result; <<
164 } <<
165 166