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1 // 1 //
2 // ******************************************* 2 // ********************************************************************
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5 // * The Geant4 software is copyright of th 5 // * The Geant4 software is copyright of the Copyright Holders of *
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17 // * 17 // * *
18 // * This code implementation is the result 18 // * This code implementation is the result of the scientific and *
19 // * technical work of the GEANT4 collaboratio 19 // * technical work of the GEANT4 collaboration. *
20 // * By using, copying, modifying or distri 20 // * By using, copying, modifying or distributing the software (or *
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24 // ******************************************* 24 // ********************************************************************
25 // 25 //
26 // This example is provided by the Geant4-DNA 26 // This example is provided by the Geant4-DNA collaboration
27 // Any report or published results obtained us 27 // Any report or published results obtained using the Geant4-DNA software
28 // shall cite the following Geant4-DNA collabo 28 // shall cite the following Geant4-DNA collaboration publication:
29 // Med. Phys. 37 (2010) 4692-4708 29 // Med. Phys. 37 (2010) 4692-4708
30 // The Geant4-DNA web site is available at htt 30 // The Geant4-DNA web site is available at http://geant4-dna.org
31 // 31 //
32 // If you use this example, please cite the fo 32 // If you use this example, please cite the following publication:
33 // Rad. Prot. Dos. 133 (2009) 2-11 33 // Rad. Prot. Dos. 133 (2009) 2-11
34 // <<
35 // Based on purging magnet advanced example. <<
36 // <<
37 34
38 #include "EMField.hh" 35 #include "EMField.hh"
39 #include "G4Exp.hh" <<
40 #include "G4SystemOfUnits.hh" 36 #include "G4SystemOfUnits.hh"
41 37
42 EMField::EMField() 38 EMField::EMField()
43 {} << 39 {
>> 40 }
44 41
45 void EMField::GetFieldValue(const double point 42 void EMField::GetFieldValue(const double point[4], double *Bfield ) const
46 { 43 {
47 // Magnetic field 44 // Magnetic field
48 Bfield[0] = 0; 45 Bfield[0] = 0;
49 Bfield[1] = 0; 46 Bfield[1] = 0;
50 Bfield[2] = 0; 47 Bfield[2] = 0;
51 48
52 // Electric field 49 // Electric field
53 Bfield[3] = 0; 50 Bfield[3] = 0;
54 Bfield[4] = 0; 51 Bfield[4] = 0;
55 Bfield[5] = 0; 52 Bfield[5] = 0;
56 53
57 G4double Bx = 0; 54 G4double Bx = 0;
58 G4double By = 0; 55 G4double By = 0;
59 G4double Bz = 0; 56 G4double Bz = 0;
60 57
61 G4double x = point[0]; 58 G4double x = point[0];
62 G4double y = point[1]; 59 G4double y = point[1];
63 G4double z = point[2]; 60 G4double z = point[2];
64 61
65 // *********************** 62 // ***********************
66 // AIFIRA SWITCHING MAGNET 63 // AIFIRA SWITCHING MAGNET
67 // *********************** 64 // ***********************
68 65
69 // MAGNETIC FIELD VALUE FOR 3 MeV ALPHAS 66 // MAGNETIC FIELD VALUE FOR 3 MeV ALPHAS
70 G4double switchingField = 0.0589768635 * tes << 67 // G4double switchingField = 0.0589768635 * tesla ;
>> 68 G4double switchingField = 0.0590201 * tesla ;
71 69
72 // BEAM START 70 // BEAM START
73 G4double beamStart = -10*m; 71 G4double beamStart = -10*m;
74 72
75 // RADIUS 73 // RADIUS
76 G4double Rp = 0.698*m; 74 G4double Rp = 0.698*m;
77 75
78 // ENTRANCE POSITION AFTER ANALYSIS MAGNET 76 // ENTRANCE POSITION AFTER ANALYSIS MAGNET
79 G4double zS = 975*mm; 77 G4double zS = 975*mm;
80 78
81 // POLE GAP 79 // POLE GAP
82 G4double D = 31.8*mm; 80 G4double D = 31.8*mm;
83 81
84 // FRINGING FIELD 82 // FRINGING FIELD
85 83
86 G4double fieldBoundary, wc0, wc1, wc2, wc3, 84 G4double fieldBoundary, wc0, wc1, wc2, wc3, limitMinEntrance, limitMaxEntrance, limitMinExit, limitMaxExit;
87 85
88 limitMinEntrance = beamStart+zS-4*D; 86 limitMinEntrance = beamStart+zS-4*D;
89 limitMaxEntrance = beamStart+zS+4*D; 87 limitMaxEntrance = beamStart+zS+4*D;
90 limitMinExit =Rp-4*D; 88 limitMinExit =Rp-4*D;
91 limitMaxExit =Rp+4*D; 89 limitMaxExit =Rp+4*D;
92 90
93 wc0 = 0.3835; 91 wc0 = 0.3835;
94 wc1 = 2.388; 92 wc1 = 2.388;
95 wc2 = -0.8171; 93 wc2 = -0.8171;
96 wc3 = 0.200; 94 wc3 = 0.200;
97 95
98 fieldBoundary=0.62; 96 fieldBoundary=0.62;
99 97
100 G4double ws, largeS, h, dhdlargeS, dhds, dla 98 G4double ws, largeS, h, dhdlargeS, dhds, dlargeSds, dsdz, dsdx, zs0, Rs0, xcenter, zcenter;
101 99
102 // - ENTRANCE OF SWITCHING MAGNET 100 // - ENTRANCE OF SWITCHING MAGNET
103 101
104 if ( (z >= limitMinEntrance) && (z < limitMaxE 102 if ( (z >= limitMinEntrance) && (z < limitMaxEntrance) )
105 { 103 {
106 zs0 = fieldBoundary*D; 104 zs0 = fieldBoundary*D;
107 ws = (-z+beamStart+zS-zs0)/D; 105 ws = (-z+beamStart+zS-zs0)/D;
108 dsdz = -1/D; 106 dsdz = -1/D;
109 dsdx = 0; 107 dsdx = 0;
110 108
111 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*w 109 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*ws*ws;
112 h = 1./(1.+G4Exp(largeS)); << 110 h = 1./(1.+std::exp(largeS));
113 dhdlargeS = -G4Exp(largeS)*h*h; << 111 dhdlargeS = -std::exp(largeS)*h*h;
114 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws; 112 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws;
115 dhds = dhdlargeS * dlargeSds; 113 dhds = dhdlargeS * dlargeSds;
116 114
117 By = switchingField * h ; 115 By = switchingField * h ;
118 Bx = y*switchingField*dhds*dsdx; 116 Bx = y*switchingField*dhds*dsdx;
119 Bz = y*switchingField*dhds*dsdz; 117 Bz = y*switchingField*dhds*dsdz;
120 118
121 } 119 }
122 120
123 // - HEART OF SWITCHING MAGNET 121 // - HEART OF SWITCHING MAGNET
124 122
125 if ( 123 if (
126 (z >= limitMaxEntrance) << 124 (z >= limitMaxEntrance)
127 && (( x*x + (z -(beamStart+zS))*(z -(be << 125 && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS)) < limitMinExit*limitMinExit))
128 ) 126 )
129 { 127 {
130 Bx=0; 128 Bx=0;
131 By = switchingField; 129 By = switchingField;
132 Bz=0; 130 Bz=0;
133 } 131 }
134 132
135 // - EXIT OF SWITCHING MAGNET 133 // - EXIT OF SWITCHING MAGNET
136 134
137 if ( 135 if (
138 (z >= limitMaxEntrance) << 136 (z >= limitMaxEntrance)
139 && (( x*x + (z -(beamStart+zS))*(z -(beam << 137 && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS))) >= limitMinExit*limitMinExit)
140 && (( x*x + (z -(beamStart+zS))*(z -(beam << 138 && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS))) < limitMaxExit*limitMaxExit)
141 139
142 ) << 140 )
143 { 141 {
144 142
145 xcenter = 0; 143 xcenter = 0;
146 zcenter = beamStart+zS; 144 zcenter = beamStart+zS;
147 145
148 Rs0 = Rp + D*fieldBoundary; 146 Rs0 = Rp + D*fieldBoundary;
149 ws = (std::sqrt((z-zcenter)*(z-zcenter)+(x-x 147 ws = (std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter)) - Rs0)/D;
150 148
151 dsdz = (1/D)*(z-zcenter)/std::sqrt((z-zcente 149 dsdz = (1/D)*(z-zcenter)/std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter));
152 dsdx = (1/D)*(x-xcenter)/std::sqrt((z-zcente 150 dsdx = (1/D)*(x-xcenter)/std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter));
153 151
154 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*w 152 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*ws*ws;
155 h = 1./(1.+G4Exp(largeS)); << 153 h = 1./(1.+std::exp(largeS));
156 dhdlargeS = -G4Exp(largeS)*h*h; << 154 dhdlargeS = -std::exp(largeS)*h*h;
157 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws; 155 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws;
158 dhds = dhdlargeS * dlargeSds; 156 dhds = dhdlargeS * dlargeSds;
159 157
160 By = switchingField * h ; 158 By = switchingField * h ;
161 Bx = y*switchingField*dhds*dsdx; 159 Bx = y*switchingField*dhds*dsdx;
162 Bz = y*switchingField*dhds*dsdz; 160 Bz = y*switchingField*dhds*dsdz;
163 161
164 } 162 }
165 163
166 // ************************** 164 // **************************
167 // MICROBEAM LINE QUADRUPOLES 165 // MICROBEAM LINE QUADRUPOLES
168 // ************************** 166 // **************************
169 167
170 // MICROBEAM LINE ANGLE 168 // MICROBEAM LINE ANGLE
171 G4double lineAngle = -10*deg; 169 G4double lineAngle = -10*deg;
172 170
173 // X POSITION OF FIRST QUADRUPOLE 171 // X POSITION OF FIRST QUADRUPOLE
174 G4double lineX = -1295.59*mm; 172 G4double lineX = -1295.59*mm;
175 173
176 // Z POSITION OF FIRST QUADRUPOLE 174 // Z POSITION OF FIRST QUADRUPOLE
177 G4double lineZ = -1327*mm; 175 G4double lineZ = -1327*mm;
178 176
179 // Adjust magnetic zone absolute position 177 // Adjust magnetic zone absolute position
180 lineX = lineX + 5.24*micrometer*std::cos(-li 178 lineX = lineX + 5.24*micrometer*std::cos(-lineAngle); // 5.24 = 1.3 + 3.94 micrometer (cf. DetectorConstruction)
181 lineZ = lineZ + 5.24*micrometer*std::sin(-li 179 lineZ = lineZ + 5.24*micrometer*std::sin(-lineAngle);
182 180
183 // QUADRUPOLE HALF LENGTH 181 // QUADRUPOLE HALF LENGTH
184 G4double quadHalfLength = 75*mm; 182 G4double quadHalfLength = 75*mm;
185 183
186 // QUADRUPOLE SPACING 184 // QUADRUPOLE SPACING
187 G4double quadSpacing = 40*mm; 185 G4double quadSpacing = 40*mm;
188 186
189 // QUADRUPOLE CENTER COORDINATES 187 // QUADRUPOLE CENTER COORDINATES
190 G4double xoprime, zoprime; 188 G4double xoprime, zoprime;
191 189
192 if (z>=-1400*mm && z <-200*mm) 190 if (z>=-1400*mm && z <-200*mm)
193 { 191 {
194 Bx=0; By=0; Bz=0; 192 Bx=0; By=0; Bz=0;
195 193
196 // FRINGING FILED CONSTANTS 194 // FRINGING FILED CONSTANTS
197 G4double c0[4], c1[4], c2[4], z1[4], z2[4], 195 G4double c0[4], c1[4], c2[4], z1[4], z2[4], a0[4], gradient[4];
198 196
199 // QUADRUPOLE 1 197 // QUADRUPOLE 1
200 c0[0] = -5.; 198 c0[0] = -5.;
201 c1[0] = 2.5; 199 c1[0] = 2.5;
202 c2[0] = -0.1; 200 c2[0] = -0.1;
203 z1[0] = 60*mm; 201 z1[0] = 60*mm;
204 z2[0] = 130*mm; 202 z2[0] = 130*mm;
205 a0[0] = 10*mm; 203 a0[0] = 10*mm;
206 gradient[0] = 3.406526 *tesla/m; 204 gradient[0] = 3.406526 *tesla/m;
207 205
208 // QUADRUPOLE 2 206 // QUADRUPOLE 2
209 c0[1] = -5.; 207 c0[1] = -5.;
210 c1[1] = 2.5; 208 c1[1] = 2.5;
211 c2[1] = -0.1; 209 c2[1] = -0.1;
212 z1[1] = 60*mm; 210 z1[1] = 60*mm;
213 z2[1] = 130*mm; 211 z2[1] = 130*mm;
214 a0[1] = 10*mm; 212 a0[1] = 10*mm;
215 gradient[1] = -8.505263 *tesla/m; 213 gradient[1] = -8.505263 *tesla/m;
216 214
217 // QUADRUPOLE 3 215 // QUADRUPOLE 3
218 c0[2] = -5.; 216 c0[2] = -5.;
219 c1[2] = 2.5; 217 c1[2] = 2.5;
220 c2[2] = -0.1; 218 c2[2] = -0.1;
221 z1[2] = 60*mm; 219 z1[2] = 60*mm;
222 z2[2] = 130*mm; 220 z2[2] = 130*mm;
223 a0[2] = 10*mm; 221 a0[2] = 10*mm;
224 gradient[2] = 8.505263 *tesla/m; 222 gradient[2] = 8.505263 *tesla/m;
225 223
226 // QUADRUPOLE 4 224 // QUADRUPOLE 4
227 c0[3] = -5.; 225 c0[3] = -5.;
228 c1[3] = 2.5; 226 c1[3] = 2.5;
229 c2[3] = -0.1; 227 c2[3] = -0.1;
230 z1[3] = 60*mm; 228 z1[3] = 60*mm;
231 z2[3] = 130*mm; 229 z2[3] = 130*mm;
232 a0[3] = 10*mm; 230 a0[3] = 10*mm;
233 gradient[3] = -3.406526*tesla/m; 231 gradient[3] = -3.406526*tesla/m;
234 232
235 // FIELD CREATED BY A QUADRUPOLE IN ITS LOCA 233 // FIELD CREATED BY A QUADRUPOLE IN ITS LOCAL FRAME
236 G4double Bx_local,By_local,Bz_local; 234 G4double Bx_local,By_local,Bz_local;
237 Bx_local = 0; By_local = 0; Bz_local = 0; 235 Bx_local = 0; By_local = 0; Bz_local = 0;
238 236
239 // FIELD CREATED BY A QUADRUPOOLE IN WORLD F 237 // FIELD CREATED BY A QUADRUPOOLE IN WORLD FRAME
240 G4double Bx_quad,By_quad,Bz_quad; 238 G4double Bx_quad,By_quad,Bz_quad;
241 Bx_quad = 0; By_quad=0; Bz_quad=0; 239 Bx_quad = 0; By_quad=0; Bz_quad=0;
242 240
243 // QUADRUPOLE FRAME 241 // QUADRUPOLE FRAME
244 G4double x_local,y_local,z_local; 242 G4double x_local,y_local,z_local;
245 x_local= 0; y_local=0; z_local=0; 243 x_local= 0; y_local=0; z_local=0;
246 244
247 G4double vars = 0; 245 G4double vars = 0;
248 G4double G0, G1, G2, G3; 246 G4double G0, G1, G2, G3;
249 G4double K1, K2, K3; 247 G4double K1, K2, K3;
250 G4double P0, P1, P2, cte; 248 G4double P0, P1, P2, cte;
251 249
252 K1=0; 250 K1=0;
253 K2=0; 251 K2=0;
254 K3=0; 252 K3=0;
255 P0=0; 253 P0=0;
256 P1=0; 254 P1=0;
257 P2=0; 255 P2=0;
258 G0=0; 256 G0=0;
259 G1=0; 257 G1=0;
260 G2=0; 258 G2=0;
261 G3=0; 259 G3=0;
262 cte=0; 260 cte=0;
263 261
264 G4bool largeScattering=false; 262 G4bool largeScattering=false;
265 263
266 for (G4int i=0;i<4; i++) 264 for (G4int i=0;i<4; i++)
267 { 265 {
268 266
269 if (i==0) 267 if (i==0)
270 { xoprime = lineX + quadHalfLength*std::si 268 { xoprime = lineX + quadHalfLength*std::sin(lineAngle);
271 zoprime = lineZ + quadHalfLength*std::co 269 zoprime = lineZ + quadHalfLength*std::cos(lineAngle);
272 270
273 x_local = (x - xoprime) * std::cos (line 271 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
274 y_local = y; 272 y_local = y;
275 z_local = (z - zoprime) * std::cos (line 273 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
276 if (std::sqrt(x_local*x_local+y_local*y_ 274 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
277 275
278 } 276 }
279 277
280 if (i==1) 278 if (i==1)
281 { xoprime = lineX + (3*quadHalfLength+quad 279 { xoprime = lineX + (3*quadHalfLength+quadSpacing)*std::sin(lineAngle);
282 zoprime = lineZ + (3*quadHalfLength+quad 280 zoprime = lineZ + (3*quadHalfLength+quadSpacing)*std::cos(lineAngle);
283 281
284 x_local = (x - xoprime) * std::cos (line 282 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
285 y_local = y; 283 y_local = y;
286 z_local = (z - zoprime) * std::cos (line 284 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
287 if (std::sqrt(x_local*x_local+y_local*y_ 285 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
288 } 286 }
289 287
290 if (i==2) 288 if (i==2)
291 { xoprime = lineX + (5*quadHalfLength+2*qu 289 { xoprime = lineX + (5*quadHalfLength+2*quadSpacing)*std::sin(lineAngle);
292 zoprime = lineZ + (5*quadHalfLength+2*qu 290 zoprime = lineZ + (5*quadHalfLength+2*quadSpacing)*std::cos(lineAngle);
293 291
294 x_local = (x - xoprime) * std::cos (line 292 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
295 y_local = y; 293 y_local = y;
296 z_local = (z - zoprime) * std::cos (line 294 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
297 if (std::sqrt(x_local*x_local+y_local*y_ 295 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
298 } 296 }
299 297
300 if (i==3) 298 if (i==3)
301 { xoprime = lineX + (7*quadHalfLength+3*qu 299 { xoprime = lineX + (7*quadHalfLength+3*quadSpacing)*std::sin(lineAngle);
302 zoprime = lineZ + (7*quadHalfLength+3*qu 300 zoprime = lineZ + (7*quadHalfLength+3*quadSpacing)*std::cos(lineAngle);
303 301
304 x_local = (x - xoprime) * std::cos (line 302 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
305 y_local = y; 303 y_local = y;
306 z_local = (z - zoprime) * std::cos (line 304 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
307 if (std::sqrt(x_local*x_local+y_local*y_ 305 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
308 } 306 }
309 307
310 308
311 if ( z_local < -z2[i] ) << 309 if ( z_local < -z2[i] )
312 { 310 {
313 G0=0; 311 G0=0;
314 G1=0; 312 G1=0;
315 G2=0; 313 G2=0;
316 G3=0; 314 G3=0;
317 } 315 }
318 316
319 if ( z_local > z2[i] ) 317 if ( z_local > z2[i] )
320 { 318 {
321 G0=0; 319 G0=0;
322 G1=0; 320 G1=0;
323 G2=0; 321 G2=0;
324 G3=0; 322 G3=0;
325 } 323 }
326 324
327 if ( (z_local>=-z1[i]) & (z_local<=z1[i]) ) 325 if ( (z_local>=-z1[i]) & (z_local<=z1[i]) )
328 { 326 {
329 G0=gradient[i]; 327 G0=gradient[i];
330 G1=0; 328 G1=0;
331 G2=0; 329 G2=0;
332 G3=0; 330 G3=0;
333 } 331 }
334 332
335 if ( ((z_local>=-z2[i]) & (z_local<-z1[i])) 333 if ( ((z_local>=-z2[i]) & (z_local<-z1[i])) || ((z_local>z1[i]) & (z_local<=z2[i])) )
336 { 334 {
337 335
338 vars = ( z_local - z1[i]) / a0[i] ; << 336 vars = ( z_local - z1[i]) / a0[i] ;
339 if (z_local<-z1[i]) vars = ( - z_local - << 337 if (z_local<-z1[i]) vars = ( - z_local - z1[i]) / a0[i] ;
340 338
341 339
342 P0 = c0[i]+c1[i]*vars+c2[i]*vars*vars; << 340 P0 = c0[i]+c1[i]*vars+c2[i]*vars*vars;
343 341
344 P1 = c1[i]/a0[i]+2*c2[i]*(z_local-z1[i])/a << 342 P1 = c1[i]/a0[i]+2*c2[i]*(z_local-z1[i])/a0[i]/a0[i];
345 if (z_local<-z1[i]) P1 = -c1[i]/a0[i]+2*c << 343 if (z_local<-z1[i]) P1 = -c1[i]/a0[i]+2*c2[i]*(z_local+z1[i])/a0[i]/a0[i];
346 344
347 P2 = 2*c2[i]/a0[i]/a0[i]; << 345 P2 = 2*c2[i]/a0[i]/a0[i];
348 346
349 cte = 1 + G4Exp(c0[i]); << 347 cte = 1 + std::exp(c0[i]);
350 348
351 K1 = -cte*P1*G4Exp(P0)/( (1+G4Exp(P0))*(1+ << 349 K1 = -cte*P1*std::exp(P0)/( (1+std::exp(P0))*(1+std::exp(P0)) );
352 350
353 K2 = -cte*G4Exp(P0)*( << 351 K2 = -cte*std::exp(P0)*(
354 P2/( (1+G4Exp(P0))*(1+G4Exp(P0)) ) << 352 P2/( (1+std::exp(P0))*(1+std::exp(P0)) )
355 +2*P1*K1/(1+G4Exp(P0))/cte << 353 +2*P1*K1/(1+std::exp(P0))/cte
356 +P1*P1/(1+G4Exp(P0))/(1+G4Exp(P0)) << 354 +P1*P1/(1+std::exp(P0))/(1+std::exp(P0))
357 ); << 355 );
358 356
359 K3 = -cte*G4Exp(P0)*( << 357 K3 = -cte*std::exp(P0)*(
360 (3*P2*P1+P1*P1*P1)/(1+G4Exp(P0))/(1+G4Exp( << 358 (3*P2*P1+P1*P1*P1)/(1+std::exp(P0))/(1+std::exp(P0))
361 +4*K1*(P1*P1+P2)/(1+G4Exp(P0))/cte << 359 +4*K1*(P1*P1+P2)/(1+std::exp(P0))/cte
362 +2*P1*(K1*K1/cte/cte+K2/(1+G4Exp(P0))/cte) << 360 +2*P1*(K1*K1/cte/cte+K2/(1+std::exp(P0))/cte)
363 ); << 361 );
364 362
365 G0 = gradient[i]*cte/(1+G4Exp(P0)); << 363 G0 = gradient[i]*cte/(1+std::exp(P0));
366 G1 = gradient[i]*K1; << 364 G1 = gradient[i]*K1;
367 G2 = gradient[i]*K2; << 365 G2 = gradient[i]*K2;
368 G3 = gradient[i]*K3; << 366 G3 = gradient[i]*K3;
369 367
370 } 368 }
371 369
372 // PROTECTION AGAINST LARGE SCATTERING 370 // PROTECTION AGAINST LARGE SCATTERING
373 371
374 if ( largeScattering ) 372 if ( largeScattering )
375 { 373 {
376 G0=0; 374 G0=0;
377 G1=0; 375 G1=0;
378 G2=0; 376 G2=0;
379 G3=0; 377 G3=0;
380 } 378 }
381 379
382 // MAGNETIC FIELD COMPUTATION FOR EACH QUAD 380 // MAGNETIC FIELD COMPUTATION FOR EACH QUADRUPOLE
383 381
384 Bx_local = y_local*(G0-(1./12)*(3*x_local*x 382 Bx_local = y_local*(G0-(1./12)*(3*x_local*x_local+y_local*y_local)*G2);
385 By_local = x_local*(G0-(1./12)*(3*y_local*y 383 By_local = x_local*(G0-(1./12)*(3*y_local*y_local+x_local*x_local)*G2);
386 Bz_local = x_local*y_local*(G1-(1./12)*(x_l 384 Bz_local = x_local*y_local*(G1-(1./12)*(x_local*x_local+y_local*y_local)*G3);
387 385
388 Bx_quad = Bz_local*std::sin(lineAngle)+Bx_l 386 Bx_quad = Bz_local*std::sin(lineAngle)+Bx_local*std::cos(lineAngle);
389 By_quad = By_local; 387 By_quad = By_local;
390 Bz_quad = Bz_local*std::cos(lineAngle)-Bx_l 388 Bz_quad = Bz_local*std::cos(lineAngle)-Bx_local*std::sin(lineAngle);
391 389
392 // TOTAL MAGNETIC FIELD 390 // TOTAL MAGNETIC FIELD
393 391
394 Bx = Bx + Bx_quad ; 392 Bx = Bx + Bx_quad ;
395 By = By + By_quad ; 393 By = By + By_quad ;
396 Bz = Bz + Bz_quad ; 394 Bz = Bz + Bz_quad ;
397 395
398 } // LOOP ON QUADRUPOLES 396 } // LOOP ON QUADRUPOLES
399 397
400 398
401 } // END OF QUADRUPLET 399 } // END OF QUADRUPLET
402 400
403 Bfield[0] = Bx; 401 Bfield[0] = Bx;
404 Bfield[1] = By; 402 Bfield[1] = By;
405 Bfield[2] = Bz; 403 Bfield[2] = Bz;
406 404
407 // ***************************************** 405 // *****************************************
408 // ELECTRIC FIELD CREATED BY SCANNING PLATES 406 // ELECTRIC FIELD CREATED BY SCANNING PLATES
409 // ***************************************** 407 // *****************************************
410 408
411 Bfield[3] = 0; 409 Bfield[3] = 0;
412 Bfield[4] = 0; 410 Bfield[4] = 0;
413 Bfield[5] = 0; 411 Bfield[5] = 0;
414 412
415 // POSITION OF EXIT OF LAST QUAD WHERE THE S 413 // POSITION OF EXIT OF LAST QUAD WHERE THE SCANNING PLATES START
416 414
417 G4double electricPlateWidth1 = 5 * mm; 415 G4double electricPlateWidth1 = 5 * mm;
418 G4double electricPlateWidth2 = 5 * mm; 416 G4double electricPlateWidth2 = 5 * mm;
419 G4double electricPlateLength1 = 36 * mm; 417 G4double electricPlateLength1 = 36 * mm;
420 G4double electricPlateLength2 = 34 * mm; 418 G4double electricPlateLength2 = 34 * mm;
421 G4double electricPlateGap = 5 * mm; 419 G4double electricPlateGap = 5 * mm;
422 G4double electricPlateSpacing1 = 3 * mm; 420 G4double electricPlateSpacing1 = 3 * mm;
423 G4double electricPlateSpacing2 = 4 * mm; 421 G4double electricPlateSpacing2 = 4 * mm;
424 422
425 // APPLY VOLTAGE HERE IN VOLTS (no electrost 423 // APPLY VOLTAGE HERE IN VOLTS (no electrostatic deflection here)
426 G4double electricPlateVoltage1 = 0 * volt; 424 G4double electricPlateVoltage1 = 0 * volt;
427 G4double electricPlateVoltage2 = 0 * volt; 425 G4double electricPlateVoltage2 = 0 * volt;
428 426
429 G4double electricFieldPlate1 = electricPlate 427 G4double electricFieldPlate1 = electricPlateVoltage1 / electricPlateSpacing1 ;
430 G4double electricFieldPlate2 = electricPlate 428 G4double electricFieldPlate2 = electricPlateVoltage2 / electricPlateSpacing2 ;
431 429
432 G4double beginFirstZoneX = lineX + (8*quadH 430 G4double beginFirstZoneX = lineX + (8*quadHalfLength+3*quadSpacing)*std::sin(lineAngle);
433 G4double beginFirstZoneZ = lineZ + (8*quadH 431 G4double beginFirstZoneZ = lineZ + (8*quadHalfLength+3*quadSpacing)*std::cos(lineAngle);
434 432
435 G4double beginSecondZoneX = lineX + (8*quad 433 G4double beginSecondZoneX = lineX + (8*quadHalfLength+3*quadSpacing+electricPlateLength1+electricPlateGap)*std::sin(lineAngle);
436 G4double beginSecondZoneZ = lineZ + (8*quad 434 G4double beginSecondZoneZ = lineZ + (8*quadHalfLength+3*quadSpacing+electricPlateLength1+electricPlateGap)*std::cos(lineAngle);
437 435
438 G4double xA, zA, xB, zB, xC, zC, xD, zD; 436 G4double xA, zA, xB, zB, xC, zC, xD, zD;
439 G4double slope1, cte1, slope2, cte2, slope3, 437 G4double slope1, cte1, slope2, cte2, slope3, cte3, slope4, cte4;
440 438
441 // WARNING : lineAngle < 0 439 // WARNING : lineAngle < 0
442 440
443 // FIRST PLATES 441 // FIRST PLATES
444 442
445 xA = beginFirstZoneX + std::cos(lineAngle)*e 443 xA = beginFirstZoneX + std::cos(lineAngle)*electricPlateSpacing1/2;
446 zA = beginFirstZoneZ - std::sin(lineAngle)*e 444 zA = beginFirstZoneZ - std::sin(lineAngle)*electricPlateSpacing1/2;
447 445
448 xB = xA + std::sin(lineAngle)*electricPlateL 446 xB = xA + std::sin(lineAngle)*electricPlateLength1;
449 zB = zA + std::cos(lineAngle)*electricPlateL 447 zB = zA + std::cos(lineAngle)*electricPlateLength1;
450 448
451 xC = xB - std::cos(lineAngle)*electricPlateS 449 xC = xB - std::cos(lineAngle)*electricPlateSpacing1;
452 zC = zB + std::sin(lineAngle)*electricPlateS 450 zC = zB + std::sin(lineAngle)*electricPlateSpacing1;
453 451
454 xD = xC - std::sin(lineAngle)*electricPlateL 452 xD = xC - std::sin(lineAngle)*electricPlateLength1;
455 zD = zC - std::cos(lineAngle)*electricPlateL 453 zD = zC - std::cos(lineAngle)*electricPlateLength1;
456 454
457 slope1 = (xB-xA)/(zB-zA); 455 slope1 = (xB-xA)/(zB-zA);
458 cte1 = xA - slope1 * zA; 456 cte1 = xA - slope1 * zA;
459 457
460 slope2 = (xC-xB)/(zC-zB); 458 slope2 = (xC-xB)/(zC-zB);
461 cte2 = xB - slope2 * zB; 459 cte2 = xB - slope2 * zB;
462 460
463 slope3 = (xD-xC)/(zD-zC); 461 slope3 = (xD-xC)/(zD-zC);
464 cte3 = xC - slope3 * zC; 462 cte3 = xC - slope3 * zC;
465 463
466 slope4 = (xA-xD)/(zA-zD); 464 slope4 = (xA-xD)/(zA-zD);
467 cte4 = xD - slope4 * zD; 465 cte4 = xD - slope4 * zD;
468 466
469 467
470 if 468 if
471 ( 469 (
472 x <= slope1 * z + cte1 << 470 x <= slope1 * z + cte1
473 && x >= slope3 * z + cte3 << 471 && x >= slope3 * z + cte3
474 && x <= slope4 * z + cte4 << 472 && x <= slope4 * z + cte4
475 && x >= slope2 * z + cte2 << 473 && x >= slope2 * z + cte2
476 && std::abs(y)<=electricPlateWidth1/2 << 474 && std::abs(y)<=electricPlateWidth1/2
477 ) 475 )
478 476
479 { 477 {
480 Bfield[3] = electricFieldPlate1*std::cos 478 Bfield[3] = electricFieldPlate1*std::cos(lineAngle);
481 Bfield[4] = 0; 479 Bfield[4] = 0;
482 Bfield[5] = -electricFieldPlate1*std::si 480 Bfield[5] = -electricFieldPlate1*std::sin(lineAngle);
483 481
484 } 482 }
485 483
486 // SECOND PLATES 484 // SECOND PLATES
487 485
488 xA = beginSecondZoneX + std::cos(lineAngle)* 486 xA = beginSecondZoneX + std::cos(lineAngle)*electricPlateWidth2/2;
489 zA = beginSecondZoneZ - std::sin(lineAngle)* 487 zA = beginSecondZoneZ - std::sin(lineAngle)*electricPlateWidth2/2;
490 488
491 xB = xA + std::sin(lineAngle)*electricPlateL 489 xB = xA + std::sin(lineAngle)*electricPlateLength2;
492 zB = zA + std::cos(lineAngle)*electricPlateL 490 zB = zA + std::cos(lineAngle)*electricPlateLength2;
493 491
494 xC = xB - std::cos(lineAngle)*electricPlateW 492 xC = xB - std::cos(lineAngle)*electricPlateWidth2;
495 zC = zB + std::sin(lineAngle)*electricPlateW 493 zC = zB + std::sin(lineAngle)*electricPlateWidth2;
496 494
497 xD = xC - std::sin(lineAngle)*electricPlateL 495 xD = xC - std::sin(lineAngle)*electricPlateLength2;
498 zD = zC - std::cos(lineAngle)*electricPlateL 496 zD = zC - std::cos(lineAngle)*electricPlateLength2;
499 497
500 slope1 = (xB-xA)/(zB-zA); 498 slope1 = (xB-xA)/(zB-zA);
501 cte1 = xA - slope1 * zA; 499 cte1 = xA - slope1 * zA;
502 500
503 slope2 = (xC-xB)/(zC-zB); 501 slope2 = (xC-xB)/(zC-zB);
504 cte2 = xB - slope2 * zB; 502 cte2 = xB - slope2 * zB;
505 503
506 slope3 = (xD-xC)/(zD-zC); 504 slope3 = (xD-xC)/(zD-zC);
507 cte3 = xC - slope3 * zC; 505 cte3 = xC - slope3 * zC;
508 506
509 slope4 = (xA-xD)/(zA-zD); 507 slope4 = (xA-xD)/(zA-zD);
510 cte4 = xD - slope4 * zD; 508 cte4 = xD - slope4 * zD;
511 509
512 if 510 if
513 ( 511 (
514 x <= slope1 * z + cte1 << 512 x <= slope1 * z + cte1
515 && x >= slope3 * z + cte3 << 513 && x >= slope3 * z + cte3
516 && x <= slope4 * z + cte4 << 514 && x <= slope4 * z + cte4
517 && x >= slope2 * z + cte2 << 515 && x >= slope2 * z + cte2
518 && std::abs(y)<=electricPlateSpacing2/2 << 516 && std::abs(y)<=electricPlateSpacing2/2
519 ) 517 )
520 518
521 { 519 {
522 Bfield[3] = 0; 520 Bfield[3] = 0;
523 Bfield[4] = electricFieldPlate2; 521 Bfield[4] = electricFieldPlate2;
524 Bfield[5] = 0; 522 Bfield[5] = 0;
525 } 523 }
>> 524
>> 525 //
526 526
527 } 527 }
528 528