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2 | mjames | 1 | /*** Translated to the C language by N. Kyriazis 20 Aug 2003 *** |
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3 | Program NEC(input,tape5=input,output,tape11,tape12,tape13,tape14, |
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4 | tape15,tape16,tape20,tape21) |
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6 | Numerical Electromagnetics Code (NEC2) developed at Lawrence |
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7 | Livermore lab., Livermore, CA. (contact G. Burke at 415-422-8414 |
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8 | for problems with the NEC code. For problems with the vax implem- |
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9 | entation, contact J. Breakall at 415-422-8196 or E. Domning at 415 |
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10 | 422-5936) |
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11 | file created 4/11/80. |
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12 | |||
13 | ***********Notice********** |
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14 | This computer code material was prepared as an account of work |
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15 | sponsored by the United States government. Neither the United |
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16 | States nor the United States Department Of Energy, nor any of |
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17 | their employees, nor any of their contractors, subcontractors, |
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18 | or their employees, makes any warranty, express or implied, or |
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19 | assumes any legal liability or responsibility for the accuracy, |
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20 | completeness or usefulness of any information, apparatus, product |
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21 | or process disclosed, or represents that its use would not infringe |
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22 | privately-owned rights. |
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23 | |||
24 | *******************************************************************/ |
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25 | |||
26 | #include "nec2c.h" |
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27 | |||
28 | /* pointers to input/output files */ |
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29 | extern FILE *input_fp, *output_fp, *plot_fp; |
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30 | |||
31 | /* common /data/ */ |
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32 | extern data_t data; |
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33 | |||
34 | /* common /dataj/ */ |
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35 | extern dataj_t dataj; |
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36 | |||
37 | /* common /incom/ */ |
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38 | incom_t incom; |
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39 | ; |
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40 | |||
41 | /* common /gwav/ */ |
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42 | extern gwav_t gwav; |
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43 | |||
44 | /* common /gnd/ */ |
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45 | extern gnd_t gnd; |
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46 | |||
47 | /*-------------------------------------------------------------------*/ |
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48 | |||
49 | /* segment to obtain the total field due to ground. the method of */ |
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50 | /* variable interval width romberg integration is used. there are 9 */ |
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51 | /* field components - the x, y, and z components due to constant, */ |
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52 | /* sine, and cosine current distributions. */ |
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53 | void rom2 (double a, double b, complex double *sum, double dmin) |
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54 | { |
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55 | int i, ns, nt, flag = TRUE; |
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56 | int nts = 4, nx = 1, n = 9; |
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57 | double ze, ep, zend, dz = 0., dzot = 0., tmag1, tmag2, tr, ti; |
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58 | double z, s; /***also global***/ |
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59 | double rx = 1.0e-4; |
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60 | complex double g1[9], g2[9], g3[9], g4[9], g5[9]; |
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61 | complex double t00, t01[9], t10[9], t02, t11, t20[9]; |
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62 | |||
63 | z = a; |
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64 | ze = b; |
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65 | s = b - a; |
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66 | |||
67 | if (s < 0.) |
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68 | { |
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69 | fprintf (output_fp, "\n ERROR - B LESS THAN A IN ROM2"); |
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70 | stop (-1); |
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71 | } |
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72 | |||
73 | ep = s / (1.e4 * data.npm); |
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74 | zend = ze - ep; |
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75 | |||
76 | for (i = 0; i < n; i++) |
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77 | sum[i] = CPLX_00; |
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78 | |||
79 | ns = nx; |
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80 | nt = 0; |
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81 | sflds (z, g1); |
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82 | |||
83 | while (TRUE) |
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84 | { |
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85 | if (flag) |
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86 | { |
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87 | dz = s / ns; |
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88 | if (z + dz > ze) |
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89 | { |
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90 | dz = ze - z; |
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91 | if (dz <= ep) |
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92 | return; |
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93 | } |
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94 | |||
95 | dzot = dz * .5; |
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96 | sflds (z + dzot, g3); |
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97 | sflds (z + dz, g5); |
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98 | |||
99 | } /* if( flag ) */ |
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100 | |||
101 | tmag1 = 0.; |
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102 | tmag2 = 0.; |
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103 | |||
104 | /* evaluate 3 point romberg result and test convergence. */ |
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105 | for (i = 0; i < n; i++) |
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106 | { |
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107 | t00 = (g1[i] + g5[i]) * dzot; |
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108 | t01[i] = (t00 + dz * g3[i]) * .5; |
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109 | t10[i] = (4. * t01[i] - t00) / 3.; |
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110 | if (i > 2) |
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111 | continue; |
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112 | |||
113 | tr = creal (t01[i]); |
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114 | ti = cimag (t01[i]); |
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115 | tmag1 = tmag1 + tr * tr + ti * ti; |
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116 | tr = creal (t10[i]); |
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117 | ti = cimag (t10[i]); |
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118 | tmag2 = tmag2 + tr * tr + ti * ti; |
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119 | |||
120 | } /* for( i = 0; i < n; i++ ) */ |
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121 | |||
122 | tmag1 = sqrtl (tmag1); |
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123 | tmag2 = sqrtl (tmag2); |
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124 | test (tmag1, tmag2, &tr, 0., 0., &ti, dmin); |
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125 | |||
126 | if (tr <= rx) |
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127 | { |
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128 | for (i = 0; i < n; i++) |
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129 | sum[i] += t10[i]; |
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130 | nt += 2; |
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131 | |||
132 | z += dz; |
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133 | if (z > zend) |
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134 | return; |
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135 | |||
136 | for (i = 0; i < n; i++) |
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137 | g1[i] = g5[i]; |
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138 | |||
139 | if ((nt >= nts) && (ns > nx)) |
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140 | { |
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141 | ns = ns / 2; |
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142 | nt = 1; |
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143 | } |
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144 | flag = TRUE; |
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145 | continue; |
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146 | |||
147 | } /* if( tr <= rx) */ |
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148 | |||
149 | sflds (z + dz * .25, g2); |
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150 | sflds (z + dz * .75, g4); |
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151 | tmag1 = 0.; |
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152 | tmag2 = 0.; |
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153 | |||
154 | /* evaluate 5 point romberg result and test convergence. */ |
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155 | for (i = 0; i < n; i++) |
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156 | { |
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157 | t02 = (t01[i] + dzot * (g2[i] + g4[i])) * .5; |
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158 | t11 = (4.0 * t02 - t01[i]) / 3.; |
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159 | t20[i] = (16. * t11 - t10[i]) / 15.; |
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160 | if (i > 2) |
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161 | continue; |
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162 | |||
163 | tr = creal (t11); |
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164 | ti = cimag (t11); |
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165 | tmag1 = tmag1 + tr * tr + ti * ti; |
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166 | tr = creal (t20[i]); |
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167 | ti = cimag (t20[i]); |
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168 | tmag2 = tmag2 + tr * tr + ti * ti; |
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169 | |||
170 | } /* for( i = 0; i < n; i++ ) */ |
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171 | |||
172 | tmag1 = sqrtl (tmag1); |
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173 | tmag2 = sqrtl (tmag2); |
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174 | test (tmag1, tmag2, &tr, 0., 0., &ti, dmin); |
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175 | |||
176 | if (tr > rx) |
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177 | { |
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178 | nt = 0; |
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179 | if (ns < data.npm) |
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180 | { |
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181 | ns = ns * 2; |
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182 | dz = s / ns; |
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183 | dzot = dz * .5; |
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184 | |||
185 | for (i = 0; i < n; i++) |
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186 | { |
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187 | g5[i] = g3[i]; |
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188 | g3[i] = g2[i]; |
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189 | } |
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190 | |||
191 | flag = FALSE; |
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192 | continue; |
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193 | |||
194 | } /* if( ns < npm) */ |
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195 | |||
196 | fprintf (output_fp, "\n ROM2 -- STEP SIZE LIMITED AT Z = %12.5le", z); |
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197 | |||
198 | } /* if( tr > rx) */ |
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199 | |||
200 | for (i = 0; i < n; i++) |
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201 | sum[i] = sum[i] + t20[i]; |
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202 | nt = nt + 1; |
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203 | |||
204 | z = z + dz; |
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205 | if (z > zend) |
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206 | return; |
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207 | |||
208 | for (i = 0; i < n; i++) |
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209 | g1[i] = g5[i]; |
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210 | |||
211 | flag = TRUE; |
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212 | if ((nt < nts) || (ns <= nx)) |
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213 | continue; |
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214 | |||
215 | ns = ns / 2; |
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216 | nt = 1; |
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217 | |||
218 | } /* while( TRUE ) */ |
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219 | } |
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220 | |||
221 | /*-----------------------------------------------------------------------*/ |
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222 | |||
223 | /* sfldx returns the field due to ground for a current element on */ |
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224 | /* the source segment at t relative to the segment center. */ |
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225 | void sflds (double t, complex double *e) |
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226 | { |
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227 | double xt, yt, zt, rhx, rhy, rhs, rho, phx, phy; |
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228 | double cph, sph, zphs, r2s, rk, sfac, thet; |
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229 | complex double erv, ezv, erh, ezh, eph, er, et, hrv, hzv, hrh; |
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230 | |||
231 | xt = dataj.xj + t * dataj.cabj; |
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232 | yt = dataj.yj + t * dataj.sabj; |
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233 | zt = dataj.zj + t * dataj.salpj; |
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234 | rhx = incom.xo - xt; |
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235 | rhy = incom.yo - yt; |
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236 | rhs = rhx * rhx + rhy * rhy; |
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237 | rho = sqrtl (rhs); |
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238 | |||
239 | if (rho <= 0.) |
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240 | { |
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241 | rhx = 1.; |
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242 | rhy = 0.; |
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243 | phx = 0.; |
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244 | phy = 1.; |
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245 | } |
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246 | else |
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247 | { |
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248 | rhx = rhx / rho; |
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249 | rhy = rhy / rho; |
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250 | phx = -rhy; |
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251 | phy = rhx; |
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252 | } |
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253 | |||
254 | cph = rhx * incom.xsn + rhy * incom.ysn; |
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255 | sph = rhy * incom.xsn - rhx * incom.ysn; |
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256 | |||
257 | if (fabsl (cph) < 1.0e-10) |
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258 | cph = 0.; |
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259 | if (fabsl (sph) < 1.0e-10) |
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260 | sph = 0.; |
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261 | |||
262 | gwav.zph = incom.zo + zt; |
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263 | zphs = gwav.zph * gwav.zph; |
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264 | r2s = rhs + zphs; |
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265 | gwav.r2 = sqrtl (r2s); |
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266 | rk = gwav.r2 * TP; |
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267 | gwav.xx2 = cmplx (cosl (rk), -sinl (rk)); |
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268 | |||
269 | /* use norton approximation for field due to ground. current is */ |
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270 | /* lumped at segment center with current moment for constant, sine, */ |
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271 | /* or cosine distribution. */ |
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272 | if (incom.isnor != 1) |
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273 | { |
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274 | gwav.zmh = 1.; |
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275 | gwav.r1 = 1.; |
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276 | gwav.xx1 = 0.; |
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277 | gwave (&erv, &ezv, &erh, &ezh, &eph); |
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278 | |||
279 | et = -CONST1 * gnd.frati * gwav.xx2 / (r2s * gwav.r2); |
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280 | er = 2. * et * cmplx (1.0, rk); |
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281 | et = et * cmplx (1.0 - rk * rk, rk); |
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282 | hrv = (er + et) * rho * gwav.zph / r2s; |
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283 | hzv = (zphs * er - rhs * et) / r2s; |
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284 | hrh = (rhs * er - zphs * et) / r2s; |
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285 | erv = erv - hrv; |
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286 | ezv = ezv - hzv; |
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287 | erh = erh + hrh; |
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288 | ezh = ezh + hrv; |
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289 | eph = eph + et; |
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290 | erv = erv * dataj.salpj; |
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291 | ezv = ezv * dataj.salpj; |
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292 | erh = erh * incom.sn * cph; |
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293 | ezh = ezh * incom.sn * cph; |
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294 | eph = eph * incom.sn * sph; |
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295 | erh = erv + erh; |
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296 | e[0] = (erh * rhx + eph * phx) * dataj.s; |
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297 | e[1] = (erh * rhy + eph * phy) * dataj.s; |
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298 | e[2] = (ezv + ezh) * dataj.s; |
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299 | e[3] = 0.; |
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300 | e[4] = 0.; |
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301 | e[5] = 0.; |
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302 | sfac = PI * dataj.s; |
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303 | sfac = sinl (sfac) / sfac; |
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304 | e[6] = e[0] * sfac; |
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305 | e[7] = e[1] * sfac; |
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306 | e[8] = e[2] * sfac; |
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307 | |||
308 | return; |
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309 | } /* if( smat.isnor != 1) */ |
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310 | |||
311 | /* interpolate in sommerfeld field tables */ |
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312 | if (rho >= 1.0e-12) |
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313 | thet = atanl (gwav.zph / rho); |
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314 | else |
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315 | thet = POT; |
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316 | |||
317 | /* combine vertical and horizontal components and convert */ |
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318 | /* to x,y,z components. multiply by exp(-jkr)/r. */ |
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319 | intrp (gwav.r2, thet, &erv, &ezv, &erh, &eph); |
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320 | gwav.xx2 = gwav.xx2 / gwav.r2; |
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321 | sfac = incom.sn * cph; |
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322 | erh = gwav.xx2 * (dataj.salpj * erv + sfac * erh); |
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323 | ezh = gwav.xx2 * (dataj.salpj * ezv - sfac * erv); |
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324 | /* x,y,z fields for constant current */ |
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325 | eph = incom.sn * sph * gwav.xx2 * eph; |
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326 | e[0] = erh * rhx + eph * phx; |
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327 | e[1] = erh * rhy + eph * phy; |
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328 | e[2] = ezh; |
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329 | /* x,y,z fields for sine current */ |
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330 | rk = TP * t; |
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331 | sfac = sinl (rk); |
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332 | e[3] = e[0] * sfac; |
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333 | e[4] = e[1] * sfac; |
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334 | /* x,y,z fields for cosine current */ |
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335 | e[5] = e[2] * sfac; |
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336 | sfac = cosl (rk); |
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337 | e[6] = e[0] * sfac; |
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338 | e[7] = e[1] * sfac; |
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339 | e[8] = e[2] * sfac; |
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340 | |||
341 | return; |
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342 | } |
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343 | |||
344 | /*-----------------------------------------------------------------------*/ |