1 | // |
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2 | // ******************************************************************** |
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3 | // * License and Disclaimer * |
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4 | // * * |
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5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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7 | // * conditions of the Geant4 Software License, included in the file * |
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8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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9 | // * include a list of copyright holders. * |
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10 | // * * |
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11 | // * Neither the authors of this software system, nor their employing * |
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12 | // * institutes,nor the agencies providing financial support for this * |
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13 | // * work make any representation or warranty, express or implied, * |
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14 | // * regarding this software system or assume any liability for its * |
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15 | // * use. Please see the license in the file LICENSE and URL above * |
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16 | // * for the full disclaimer and the limitation of liability. * |
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17 | // * * |
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18 | // * This code implementation is the result of the scientific and * |
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19 | // * technical work of the GEANT4 collaboration. * |
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20 | // * By using, copying, modifying or distributing the software (or * |
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21 | // * any work based on the software) you agree to acknowledge its * |
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22 | // * use in resulting scientific publications, and indicate your * |
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23 | // * acceptance of all terms of the Geant4 Software license. * |
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24 | // ******************************************************************** |
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25 | // |
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26 | // ------------------------------------------------------------------- |
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27 | // $Id: MicrobeamEMField.cc,v 1.9 2009/04/30 10:23:57 sincerti Exp $ |
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28 | // ------------------------------------------------------------------- |
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29 | |
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30 | #include "MicrobeamEMField.hh" |
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31 | |
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32 | MicrobeamEMField::MicrobeamEMField() |
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33 | { |
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34 | } |
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35 | |
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36 | void MicrobeamEMField::GetFieldValue(const double point[4], double *Bfield ) const |
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37 | { |
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38 | // Magnetic field |
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39 | Bfield[0] = 0; |
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40 | Bfield[1] = 0; |
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41 | Bfield[2] = 0; |
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42 | |
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43 | // Electric field |
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44 | Bfield[3] = 0; |
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45 | Bfield[4] = 0; |
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46 | Bfield[5] = 0; |
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47 | |
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48 | G4double Bx = 0; |
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49 | G4double By = 0; |
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50 | G4double Bz = 0; |
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51 | |
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52 | G4double x = point[0]; |
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53 | G4double y = point[1]; |
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54 | G4double z = point[2]; |
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55 | |
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56 | // *********************** |
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57 | // AIFIRA SWITCHING MAGNET |
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58 | // *********************** |
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59 | |
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60 | // MAGNETIC FIELD VALUE FOR 3 MeV ALPHAS |
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61 | // G4double switchingField = 0.0589768635 * tesla ; |
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62 | G4double switchingField = 0.0590201 * tesla ; |
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63 | |
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64 | // BEAM START |
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65 | G4double beamStart = -10*m; |
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66 | |
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67 | // RADIUS |
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68 | G4double Rp = 0.698*m; |
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69 | |
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70 | // ENTRANCE POSITION AFTER ANALYSIS MAGNET |
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71 | G4double zS = 975*mm; |
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72 | |
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73 | // POLE GAP |
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74 | G4double D = 31.8*mm; |
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75 | |
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76 | // FRINGING FIELD |
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77 | |
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78 | G4double fieldBoundary, wc0, wc1, wc2, wc3, limitMinEntrance, limitMaxEntrance, limitMinExit, limitMaxExit; |
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79 | |
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80 | limitMinEntrance = beamStart+zS-4*D; |
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81 | limitMaxEntrance = beamStart+zS+4*D; |
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82 | limitMinExit =Rp-4*D; |
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83 | limitMaxExit =Rp+4*D; |
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84 | |
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85 | wc0 = 0.3835; |
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86 | wc1 = 2.388; |
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87 | wc2 = -0.8171; |
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88 | wc3 = 0.200; |
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89 | |
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90 | fieldBoundary=0.62; |
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91 | |
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92 | G4double ws, largeS, h, dhdlargeS, dhds, dlargeSds, dsdz, dsdx, zs0, Rs0, xcenter, zcenter; |
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93 | |
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94 | // - ENTRANCE OF SWITCHING MAGNET |
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95 | |
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96 | if ( (z >= limitMinEntrance) && (z < limitMaxEntrance) ) |
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97 | { |
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98 | zs0 = fieldBoundary*D; |
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99 | ws = (-z+beamStart+zS-zs0)/D; |
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100 | dsdz = -1/D; |
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101 | dsdx = 0; |
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102 | |
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103 | largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*ws*ws; |
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104 | h = 1./(1.+std::exp(largeS)); |
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105 | dhdlargeS = -std::exp(largeS)*h*h; |
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106 | dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws; |
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107 | dhds = dhdlargeS * dlargeSds; |
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108 | |
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109 | By = switchingField * h ; |
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110 | Bx = y*switchingField*dhds*dsdx; |
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111 | Bz = y*switchingField*dhds*dsdz; |
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112 | |
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113 | } |
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114 | |
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115 | // - HEART OF SWITCHING MAGNET |
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116 | |
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117 | if ( |
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118 | (z >= limitMaxEntrance) |
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119 | && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS)) < limitMinExit*limitMinExit)) |
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120 | ) |
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121 | { |
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122 | Bx=0; |
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123 | By = switchingField; |
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124 | Bz=0; |
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125 | } |
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126 | |
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127 | // - EXIT OF SWITCHING MAGNET |
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128 | |
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129 | if ( |
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130 | (z >= limitMaxEntrance) |
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131 | && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS))) >= limitMinExit*limitMinExit) |
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132 | && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS))) < limitMaxExit*limitMaxExit) |
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133 | |
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134 | ) |
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135 | { |
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136 | |
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137 | xcenter = 0; |
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138 | zcenter = beamStart+zS; |
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139 | |
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140 | Rs0 = Rp + D*fieldBoundary; |
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141 | ws = (std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter)) - Rs0)/D; |
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142 | |
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143 | dsdz = (1/D)*(z-zcenter)/std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter)); |
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144 | dsdx = (1/D)*(x-xcenter)/std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter)); |
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145 | |
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146 | largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*ws*ws; |
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147 | h = 1./(1.+std::exp(largeS)); |
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148 | dhdlargeS = -std::exp(largeS)*h*h; |
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149 | dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws; |
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150 | dhds = dhdlargeS * dlargeSds; |
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151 | |
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152 | By = switchingField * h ; |
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153 | Bx = y*switchingField*dhds*dsdx; |
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154 | Bz = y*switchingField*dhds*dsdz; |
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155 | |
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156 | } |
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157 | |
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158 | // ************************** |
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159 | // MICROBEAM LINE QUADRUPOLES |
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160 | // ************************** |
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161 | |
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162 | // MICROBEAM LINE ANGLE |
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163 | G4double lineAngle = -10*deg; |
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164 | |
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165 | // X POSITION OF FIRST QUADRUPOLE |
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166 | G4double lineX = -1295.59*mm; |
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167 | |
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168 | // Z POSITION OF FIRST QUADRUPOLE |
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169 | G4double lineZ = -1327*mm; |
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170 | |
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171 | // Adjust magnetic zone absolute position |
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172 | lineX = lineX + 5.24*micrometer*std::cos(-lineAngle); // 5.24 = 1.3 + 3.94 micrometer (cf. DetectorConstruction) |
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173 | lineZ = lineZ + 5.24*micrometer*std::sin(-lineAngle); |
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174 | |
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175 | // QUADRUPOLE HALF LENGTH |
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176 | G4double quadHalfLength = 75*mm; |
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177 | |
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178 | // QUADRUPOLE SPACING |
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179 | G4double quadSpacing = 40*mm; |
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180 | |
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181 | // QUADRUPOLE CENTER COORDINATES |
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182 | G4double xoprime, zoprime; |
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183 | |
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184 | if (z>=-1400*mm && z <-200*mm) |
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185 | { |
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186 | Bx=0; By=0; Bz=0; |
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187 | |
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188 | // FRINGING FILED CONSTANTS |
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189 | G4double c0[4], c1[4], c2[4], z1[4], z2[4], a0[4], gradient[4]; |
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190 | |
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191 | // QUADRUPOLE 1 |
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192 | c0[0] = -5.; |
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193 | c1[0] = 2.5; |
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194 | c2[0] = -0.1; |
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195 | z1[0] = 60*mm; |
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196 | z2[0] = 130*mm; |
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197 | a0[0] = 10*mm; |
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198 | gradient[0] = 3.406526 *tesla/m; |
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199 | |
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200 | // QUADRUPOLE 2 |
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201 | c0[1] = -5.; |
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202 | c1[1] = 2.5; |
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203 | c2[1] = -0.1; |
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204 | z1[1] = 60*mm; |
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205 | z2[1] = 130*mm; |
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206 | a0[1] = 10*mm; |
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207 | gradient[1] = -8.505263 *tesla/m; |
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208 | |
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209 | // QUADRUPOLE 3 |
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210 | c0[2] = -5.; |
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211 | c1[2] = 2.5; |
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212 | c2[2] = -0.1; |
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213 | z1[2] = 60*mm; |
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214 | z2[2] = 130*mm; |
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215 | a0[2] = 10*mm; |
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216 | gradient[2] = 8.505263 *tesla/m; |
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217 | |
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218 | // QUADRUPOLE 4 |
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219 | c0[3] = -5.; |
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220 | c1[3] = 2.5; |
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221 | c2[3] = -0.1; |
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222 | z1[3] = 60*mm; |
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223 | z2[3] = 130*mm; |
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224 | a0[3] = 10*mm; |
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225 | gradient[3] = -3.406526*tesla/m; |
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226 | |
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227 | // FIELD CREATED BY A QUADRUPOLE IN ITS LOCAL FRAME |
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228 | G4double Bx_local,By_local,Bz_local; |
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229 | Bx_local = 0; By_local = 0; Bz_local = 0; |
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230 | |
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231 | // FIELD CREATED BY A QUADRUPOOLE IN WORLD FRAME |
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232 | G4double Bx_quad,By_quad,Bz_quad; |
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233 | Bx_quad = 0; By_quad=0; Bz_quad=0; |
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234 | |
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235 | // QUADRUPOLE FRAME |
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236 | G4double x_local,y_local,z_local; |
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237 | x_local= 0; y_local=0; z_local=0; |
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238 | |
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239 | G4double s = 0; |
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240 | G4double G0, G1, G2, G3; |
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241 | G4double K0, K1, K2, K3; |
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242 | G4double P0, P1, P2, P3, cte; |
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243 | |
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244 | K0=0; |
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245 | K1=0; |
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246 | K2=0; |
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247 | K3=0; |
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248 | P0=0; |
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249 | P1=0; |
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250 | P2=0; |
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251 | P3=0; |
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252 | G0=0; |
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253 | G1=0; |
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254 | G2=0; |
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255 | G3=0; |
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256 | cte=0; |
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257 | |
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258 | G4bool largeScattering=false; |
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259 | |
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260 | for (G4int i=0;i<4; i++) |
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261 | { |
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262 | |
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263 | if (i==0) |
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264 | { xoprime = lineX + quadHalfLength*std::sin(lineAngle); |
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265 | zoprime = lineZ + quadHalfLength*std::cos(lineAngle); |
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266 | |
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267 | x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle); |
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268 | y_local = y; |
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269 | z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle); |
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270 | if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true; |
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271 | |
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272 | } |
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273 | |
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274 | if (i==1) |
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275 | { xoprime = lineX + (3*quadHalfLength+quadSpacing)*std::sin(lineAngle); |
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276 | zoprime = lineZ + (3*quadHalfLength+quadSpacing)*std::cos(lineAngle); |
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277 | |
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278 | x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle); |
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279 | y_local = y; |
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280 | z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle); |
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281 | if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true; |
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282 | } |
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283 | |
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284 | if (i==2) |
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285 | { xoprime = lineX + (5*quadHalfLength+2*quadSpacing)*std::sin(lineAngle); |
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286 | zoprime = lineZ + (5*quadHalfLength+2*quadSpacing)*std::cos(lineAngle); |
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287 | |
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288 | x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle); |
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289 | y_local = y; |
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290 | z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle); |
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291 | if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true; |
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292 | } |
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293 | |
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294 | if (i==3) |
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295 | { xoprime = lineX + (7*quadHalfLength+3*quadSpacing)*std::sin(lineAngle); |
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296 | zoprime = lineZ + (7*quadHalfLength+3*quadSpacing)*std::cos(lineAngle); |
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297 | |
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298 | x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle); |
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299 | y_local = y; |
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300 | z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle); |
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301 | if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true; |
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302 | } |
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303 | |
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304 | |
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305 | if ( z_local < -z2[i] ) |
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306 | { |
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307 | G0=0; |
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308 | G1=0; |
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309 | G2=0; |
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310 | G3=0; |
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311 | } |
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312 | |
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313 | if ( z_local > z2[i] ) |
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314 | { |
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315 | G0=0; |
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316 | G1=0; |
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317 | G2=0; |
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318 | G3=0; |
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319 | } |
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320 | |
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321 | if ( (z_local>=-z1[i]) & (z_local<=z1[i]) ) |
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322 | { |
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323 | G0=gradient[i]; |
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324 | G1=0; |
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325 | G2=0; |
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326 | G3=0; |
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327 | } |
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328 | |
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329 | if ( ((z_local>=-z2[i]) & (z_local<-z1[i])) || ((z_local>z1[i]) & (z_local<=z2[i])) ) |
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330 | { |
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331 | |
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332 | s = ( z_local - z1[i]) / a0[i] ; |
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333 | if (z_local<-z1[i]) s = ( - z_local - z1[i]) / a0[i] ; |
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334 | |
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335 | |
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336 | P0 = c0[i]+c1[i]*s+c2[i]*s*s; |
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337 | |
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338 | P1 = c1[i]/a0[i]+2*c2[i]*(z_local-z1[i])/a0[i]/a0[i]; |
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339 | if (z_local<-z1[i]) P1 = -c1[i]/a0[i]+2*c2[i]*(z_local+z1[i])/a0[i]/a0[i]; |
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340 | |
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341 | P2 = 2*c2[i]/a0[i]/a0[i]; |
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342 | |
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343 | P3 = 0; |
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344 | |
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345 | cte = 1 + std::exp(c0[i]); |
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346 | |
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347 | K1 = -cte*P1*std::exp(P0)/( (1+std::exp(P0))*(1+std::exp(P0)) ); |
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348 | |
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349 | K2 = -cte*std::exp(P0)*( |
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350 | P2/( (1+std::exp(P0))*(1+std::exp(P0)) ) |
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351 | +2*P1*K1/(1+std::exp(P0))/cte |
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352 | +P1*P1/(1+std::exp(P0))/(1+std::exp(P0)) |
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353 | ); |
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354 | |
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355 | K3 = -cte*std::exp(P0)*( |
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356 | (3*P2*P1+P1*P1*P1)/(1+std::exp(P0))/(1+std::exp(P0)) |
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357 | +4*K1*(P1*P1+P2)/(1+std::exp(P0))/cte |
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358 | +2*P1*(K1*K1/cte/cte+K2/(1+std::exp(P0))/cte) |
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359 | ); |
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360 | |
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361 | G0 = gradient[i]*cte/(1+std::exp(P0)); |
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362 | G1 = gradient[i]*K1; |
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363 | G2 = gradient[i]*K2; |
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364 | G3 = gradient[i]*K3; |
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365 | |
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366 | } |
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367 | |
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368 | // PROTECTION AGAINST LARGE SCATTERING |
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369 | |
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370 | if ( largeScattering ) |
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371 | { |
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372 | G0=0; |
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373 | G1=0; |
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374 | G2=0; |
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375 | G3=0; |
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376 | } |
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377 | |
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378 | // MAGNETIC FIELD COMPUTATION FOR EACH QUADRUPOLE |
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379 | |
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380 | Bx_local = y_local*(G0-(1./12)*(3*x_local*x_local+y_local*y_local)*G2); |
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381 | By_local = x_local*(G0-(1./12)*(3*y_local*y_local+x_local*x_local)*G2); |
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382 | Bz_local = x_local*y_local*(G1-(1./12)*(x_local*x_local+y_local*y_local)*G3); |
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383 | |
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384 | Bx_quad = Bz_local*std::sin(lineAngle)+Bx_local*std::cos(lineAngle); |
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385 | By_quad = By_local; |
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386 | Bz_quad = Bz_local*std::cos(lineAngle)-Bx_local*std::sin(lineAngle); |
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387 | |
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388 | // TOTAL MAGNETIC FIELD |
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389 | |
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390 | Bx = Bx + Bx_quad ; |
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391 | By = By + By_quad ; |
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392 | Bz = Bz + Bz_quad ; |
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393 | |
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394 | } // LOOP ON QUADRUPOLES |
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395 | |
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396 | |
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397 | } // END OF QUADRUPLET |
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398 | |
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399 | Bfield[0] = Bx; |
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400 | Bfield[1] = By; |
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401 | Bfield[2] = Bz; |
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402 | |
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403 | // ***************************************** |
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404 | // ELECTRIC FIELD CREATED BY SCANNING PLATES |
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405 | // ***************************************** |
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406 | |
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407 | Bfield[3] = 0; |
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408 | Bfield[4] = 0; |
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409 | Bfield[5] = 0; |
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410 | |
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411 | // POSITION OF EXIT OF LAST QUAD WHERE THE SCANNING PLATES START |
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412 | |
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413 | G4double electricPlateWidth1 = 5 * mm; |
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414 | G4double electricPlateWidth2 = 5 * mm; |
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415 | G4double electricPlateLength1 = 36 * mm; |
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416 | G4double electricPlateLength2 = 34 * mm; |
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417 | G4double electricPlateGap = 5 * mm; |
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418 | G4double electricPlateSpacing1 = 3 * mm; |
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419 | G4double electricPlateSpacing2 = 4 * mm; |
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420 | |
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421 | // APPLY VOLTAGE HERE IN VOLTS (no electrostatic deflection here) |
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422 | G4double electricPlateVoltage1 = 0 * volt; |
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423 | G4double electricPlateVoltage2 = 0 * volt; |
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424 | |
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425 | G4double electricFieldPlate1 = electricPlateVoltage1 / electricPlateSpacing1 ; |
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426 | G4double electricFieldPlate2 = electricPlateVoltage2 / electricPlateSpacing2 ; |
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427 | |
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428 | G4double beginFirstZoneX = lineX + (8*quadHalfLength+3*quadSpacing)*std::sin(lineAngle); |
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429 | G4double beginFirstZoneZ = lineZ + (8*quadHalfLength+3*quadSpacing)*std::cos(lineAngle); |
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430 | |
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431 | G4double beginSecondZoneX = lineX + (8*quadHalfLength+3*quadSpacing+electricPlateLength1+electricPlateGap)*std::sin(lineAngle); |
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432 | G4double beginSecondZoneZ = lineZ + (8*quadHalfLength+3*quadSpacing+electricPlateLength1+electricPlateGap)*std::cos(lineAngle); |
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433 | |
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434 | G4double xA, zA, xB, zB, xC, zC, xD, zD; |
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435 | G4double slope1, cte1, slope2, cte2, slope3, cte3, slope4, cte4; |
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436 | |
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437 | // WARNING : lineAngle < 0 |
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438 | |
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439 | // FIRST PLATES |
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440 | |
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441 | xA = beginFirstZoneX + std::cos(lineAngle)*electricPlateSpacing1/2; |
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442 | zA = beginFirstZoneZ - std::sin(lineAngle)*electricPlateSpacing1/2; |
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443 | |
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444 | xB = xA + std::sin(lineAngle)*electricPlateLength1; |
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445 | zB = zA + std::cos(lineAngle)*electricPlateLength1; |
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446 | |
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447 | xC = xB - std::cos(lineAngle)*electricPlateSpacing1; |
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448 | zC = zB + std::sin(lineAngle)*electricPlateSpacing1; |
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449 | |
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450 | xD = xC - std::sin(lineAngle)*electricPlateLength1; |
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451 | zD = zC - std::cos(lineAngle)*electricPlateLength1; |
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452 | |
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453 | slope1 = (xB-xA)/(zB-zA); |
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454 | cte1 = xA - slope1 * zA; |
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455 | |
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456 | slope2 = (xC-xB)/(zC-zB); |
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457 | cte2 = xB - slope2 * zB; |
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458 | |
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459 | slope3 = (xD-xC)/(zD-zC); |
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460 | cte3 = xC - slope3 * zC; |
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461 | |
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462 | slope4 = (xA-xD)/(zA-zD); |
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463 | cte4 = xD - slope4 * zD; |
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464 | |
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465 | |
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466 | if |
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467 | ( |
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468 | x <= slope1 * z + cte1 |
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469 | && x >= slope3 * z + cte3 |
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470 | && x <= slope4 * z + cte4 |
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471 | && x >= slope2 * z + cte2 |
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472 | && std::abs(y)<=electricPlateWidth1/2 |
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473 | ) |
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474 | |
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475 | { |
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476 | Bfield[3] = electricFieldPlate1*std::cos(lineAngle); |
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477 | Bfield[4] = 0; |
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478 | Bfield[5] = -electricFieldPlate1*std::sin(lineAngle); |
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479 | |
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480 | } |
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481 | |
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482 | // SECOND PLATES |
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483 | |
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484 | xA = beginSecondZoneX + std::cos(lineAngle)*electricPlateWidth2/2; |
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485 | zA = beginSecondZoneZ - std::sin(lineAngle)*electricPlateWidth2/2; |
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486 | |
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487 | xB = xA + std::sin(lineAngle)*electricPlateLength2; |
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488 | zB = zA + std::cos(lineAngle)*electricPlateLength2; |
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489 | |
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490 | xC = xB - std::cos(lineAngle)*electricPlateWidth2; |
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491 | zC = zB + std::sin(lineAngle)*electricPlateWidth2; |
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492 | |
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493 | xD = xC - std::sin(lineAngle)*electricPlateLength2; |
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494 | zD = zC - std::cos(lineAngle)*electricPlateLength2; |
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495 | |
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496 | slope1 = (xB-xA)/(zB-zA); |
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497 | cte1 = xA - slope1 * zA; |
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498 | |
---|
499 | slope2 = (xC-xB)/(zC-zB); |
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500 | cte2 = xB - slope2 * zB; |
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501 | |
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502 | slope3 = (xD-xC)/(zD-zC); |
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503 | cte3 = xC - slope3 * zC; |
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504 | |
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505 | slope4 = (xA-xD)/(zA-zD); |
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506 | cte4 = xD - slope4 * zD; |
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507 | |
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508 | if |
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509 | ( |
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510 | x <= slope1 * z + cte1 |
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511 | && x >= slope3 * z + cte3 |
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512 | && x <= slope4 * z + cte4 |
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513 | && x >= slope2 * z + cte2 |
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514 | && std::abs(y)<=electricPlateSpacing2/2 |
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515 | ) |
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516 | |
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517 | { |
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518 | Bfield[3] = 0; |
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519 | Bfield[4] = electricFieldPlate2; |
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520 | Bfield[5] = 0; |
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521 | } |
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522 | |
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523 | // ZERO FIELD REGIONS |
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524 | |
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525 | if ( |
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526 | (Bfield[0]==0. && |
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527 | Bfield[1]==0. && |
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528 | Bfield[2]==0. && |
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529 | Bfield[3]==0. && |
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530 | Bfield[4]==0. && |
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531 | Bfield[5]==0. ) |
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532 | ) |
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533 | { |
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534 | |
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535 | G4FieldManager *pFieldMgr; |
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536 | pFieldMgr = G4TransportationManager::GetTransportationManager()->GetFieldManager(); |
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537 | pFieldMgr = NULL; |
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538 | |
---|
539 | } |
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540 | |
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541 | // |
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542 | |
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543 | |
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544 | } |
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545 | |
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