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1 // 1 //
2 // ******************************************* 2 // ********************************************************************
3 // * License and Disclaimer 3 // * License and Disclaimer *
4 // * 4 // * *
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" 36 #include "G4Exp.hh"
40 #include "G4SystemOfUnits.hh" 37 #include "G4SystemOfUnits.hh"
41 38
42 EMField::EMField() 39 EMField::EMField()
43 {} << 40 {
>> 41 }
44 42
45 void EMField::GetFieldValue(const double point 43 void EMField::GetFieldValue(const double point[4], double *Bfield ) const
46 { 44 {
47 // Magnetic field 45 // Magnetic field
48 Bfield[0] = 0; 46 Bfield[0] = 0;
49 Bfield[1] = 0; 47 Bfield[1] = 0;
50 Bfield[2] = 0; 48 Bfield[2] = 0;
51 49
52 // Electric field 50 // Electric field
53 Bfield[3] = 0; 51 Bfield[3] = 0;
54 Bfield[4] = 0; 52 Bfield[4] = 0;
55 Bfield[5] = 0; 53 Bfield[5] = 0;
56 54
57 G4double Bx = 0; 55 G4double Bx = 0;
58 G4double By = 0; 56 G4double By = 0;
59 G4double Bz = 0; 57 G4double Bz = 0;
60 58
61 G4double x = point[0]; 59 G4double x = point[0];
62 G4double y = point[1]; 60 G4double y = point[1];
63 G4double z = point[2]; 61 G4double z = point[2];
64 62
65 // *********************** 63 // ***********************
66 // AIFIRA SWITCHING MAGNET 64 // AIFIRA SWITCHING MAGNET
67 // *********************** 65 // ***********************
68 66
69 // MAGNETIC FIELD VALUE FOR 3 MeV ALPHAS 67 // MAGNETIC FIELD VALUE FOR 3 MeV ALPHAS
70 G4double switchingField = 0.0589768635 * tes << 68 // G4double switchingField = 0.0589768635 * tesla ;
>> 69 G4double switchingField = 0.0590201 * tesla ;
71 70
72 // BEAM START 71 // BEAM START
73 G4double beamStart = -10*m; 72 G4double beamStart = -10*m;
74 73
75 // RADIUS 74 // RADIUS
76 G4double Rp = 0.698*m; 75 G4double Rp = 0.698*m;
77 76
78 // ENTRANCE POSITION AFTER ANALYSIS MAGNET 77 // ENTRANCE POSITION AFTER ANALYSIS MAGNET
79 G4double zS = 975*mm; 78 G4double zS = 975*mm;
80 79
81 // POLE GAP 80 // POLE GAP
82 G4double D = 31.8*mm; 81 G4double D = 31.8*mm;
83 82
84 // FRINGING FIELD 83 // FRINGING FIELD
85 84
86 G4double fieldBoundary, wc0, wc1, wc2, wc3, 85 G4double fieldBoundary, wc0, wc1, wc2, wc3, limitMinEntrance, limitMaxEntrance, limitMinExit, limitMaxExit;
87 86
88 limitMinEntrance = beamStart+zS-4*D; 87 limitMinEntrance = beamStart+zS-4*D;
89 limitMaxEntrance = beamStart+zS+4*D; 88 limitMaxEntrance = beamStart+zS+4*D;
90 limitMinExit =Rp-4*D; 89 limitMinExit =Rp-4*D;
91 limitMaxExit =Rp+4*D; 90 limitMaxExit =Rp+4*D;
92 91
93 wc0 = 0.3835; 92 wc0 = 0.3835;
94 wc1 = 2.388; 93 wc1 = 2.388;
95 wc2 = -0.8171; 94 wc2 = -0.8171;
96 wc3 = 0.200; 95 wc3 = 0.200;
97 96
98 fieldBoundary=0.62; 97 fieldBoundary=0.62;
99 98
100 G4double ws, largeS, h, dhdlargeS, dhds, dla 99 G4double ws, largeS, h, dhdlargeS, dhds, dlargeSds, dsdz, dsdx, zs0, Rs0, xcenter, zcenter;
101 100
102 // - ENTRANCE OF SWITCHING MAGNET 101 // - ENTRANCE OF SWITCHING MAGNET
103 102
104 if ( (z >= limitMinEntrance) && (z < limitMaxE 103 if ( (z >= limitMinEntrance) && (z < limitMaxEntrance) )
105 { 104 {
106 zs0 = fieldBoundary*D; 105 zs0 = fieldBoundary*D;
107 ws = (-z+beamStart+zS-zs0)/D; 106 ws = (-z+beamStart+zS-zs0)/D;
108 dsdz = -1/D; 107 dsdz = -1/D;
109 dsdx = 0; 108 dsdx = 0;
110 109
111 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*w 110 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*ws*ws;
112 h = 1./(1.+G4Exp(largeS)); 111 h = 1./(1.+G4Exp(largeS));
113 dhdlargeS = -G4Exp(largeS)*h*h; 112 dhdlargeS = -G4Exp(largeS)*h*h;
114 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws; 113 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws;
115 dhds = dhdlargeS * dlargeSds; 114 dhds = dhdlargeS * dlargeSds;
116 115
117 By = switchingField * h ; 116 By = switchingField * h ;
118 Bx = y*switchingField*dhds*dsdx; 117 Bx = y*switchingField*dhds*dsdx;
119 Bz = y*switchingField*dhds*dsdz; 118 Bz = y*switchingField*dhds*dsdz;
120 119
121 } 120 }
122 121
123 // - HEART OF SWITCHING MAGNET 122 // - HEART OF SWITCHING MAGNET
124 123
125 if ( 124 if (
126 (z >= limitMaxEntrance) << 125 (z >= limitMaxEntrance)
127 && (( x*x + (z -(beamStart+zS))*(z -(be << 126 && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS)) < limitMinExit*limitMinExit))
128 ) 127 )
129 { 128 {
130 Bx=0; 129 Bx=0;
131 By = switchingField; 130 By = switchingField;
132 Bz=0; 131 Bz=0;
133 } 132 }
134 133
135 // - EXIT OF SWITCHING MAGNET 134 // - EXIT OF SWITCHING MAGNET
136 135
137 if ( 136 if (
138 (z >= limitMaxEntrance) << 137 (z >= limitMaxEntrance)
139 && (( x*x + (z -(beamStart+zS))*(z -(beam << 138 && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS))) >= limitMinExit*limitMinExit)
140 && (( x*x + (z -(beamStart+zS))*(z -(beam << 139 && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS))) < limitMaxExit*limitMaxExit)
141 140
142 ) << 141 )
143 { 142 {
144 143
145 xcenter = 0; 144 xcenter = 0;
146 zcenter = beamStart+zS; 145 zcenter = beamStart+zS;
147 146
148 Rs0 = Rp + D*fieldBoundary; 147 Rs0 = Rp + D*fieldBoundary;
149 ws = (std::sqrt((z-zcenter)*(z-zcenter)+(x-x 148 ws = (std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter)) - Rs0)/D;
150 149
151 dsdz = (1/D)*(z-zcenter)/std::sqrt((z-zcente 150 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 151 dsdx = (1/D)*(x-xcenter)/std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter));
153 152
154 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*w 153 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*ws*ws;
155 h = 1./(1.+G4Exp(largeS)); 154 h = 1./(1.+G4Exp(largeS));
156 dhdlargeS = -G4Exp(largeS)*h*h; 155 dhdlargeS = -G4Exp(largeS)*h*h;
157 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws; 156 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws;
158 dhds = dhdlargeS * dlargeSds; 157 dhds = dhdlargeS * dlargeSds;
159 158
160 By = switchingField * h ; 159 By = switchingField * h ;
161 Bx = y*switchingField*dhds*dsdx; 160 Bx = y*switchingField*dhds*dsdx;
162 Bz = y*switchingField*dhds*dsdz; 161 Bz = y*switchingField*dhds*dsdz;
163 162
164 } 163 }
165 164
166 // ************************** 165 // **************************
167 // MICROBEAM LINE QUADRUPOLES 166 // MICROBEAM LINE QUADRUPOLES
168 // ************************** 167 // **************************
169 168
170 // MICROBEAM LINE ANGLE 169 // MICROBEAM LINE ANGLE
171 G4double lineAngle = -10*deg; 170 G4double lineAngle = -10*deg;
172 171
173 // X POSITION OF FIRST QUADRUPOLE 172 // X POSITION OF FIRST QUADRUPOLE
174 G4double lineX = -1295.59*mm; 173 G4double lineX = -1295.59*mm;
175 174
176 // Z POSITION OF FIRST QUADRUPOLE 175 // Z POSITION OF FIRST QUADRUPOLE
177 G4double lineZ = -1327*mm; 176 G4double lineZ = -1327*mm;
178 177
179 // Adjust magnetic zone absolute position 178 // Adjust magnetic zone absolute position
180 lineX = lineX + 5.24*micrometer*std::cos(-li 179 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 180 lineZ = lineZ + 5.24*micrometer*std::sin(-lineAngle);
182 181
183 // QUADRUPOLE HALF LENGTH 182 // QUADRUPOLE HALF LENGTH
184 G4double quadHalfLength = 75*mm; 183 G4double quadHalfLength = 75*mm;
185 184
186 // QUADRUPOLE SPACING 185 // QUADRUPOLE SPACING
187 G4double quadSpacing = 40*mm; 186 G4double quadSpacing = 40*mm;
188 187
189 // QUADRUPOLE CENTER COORDINATES 188 // QUADRUPOLE CENTER COORDINATES
190 G4double xoprime, zoprime; 189 G4double xoprime, zoprime;
191 190
192 if (z>=-1400*mm && z <-200*mm) 191 if (z>=-1400*mm && z <-200*mm)
193 { 192 {
194 Bx=0; By=0; Bz=0; 193 Bx=0; By=0; Bz=0;
195 194
196 // FRINGING FILED CONSTANTS 195 // FRINGING FILED CONSTANTS
197 G4double c0[4], c1[4], c2[4], z1[4], z2[4], 196 G4double c0[4], c1[4], c2[4], z1[4], z2[4], a0[4], gradient[4];
198 197
199 // QUADRUPOLE 1 198 // QUADRUPOLE 1
200 c0[0] = -5.; 199 c0[0] = -5.;
201 c1[0] = 2.5; 200 c1[0] = 2.5;
202 c2[0] = -0.1; 201 c2[0] = -0.1;
203 z1[0] = 60*mm; 202 z1[0] = 60*mm;
204 z2[0] = 130*mm; 203 z2[0] = 130*mm;
205 a0[0] = 10*mm; 204 a0[0] = 10*mm;
206 gradient[0] = 3.406526 *tesla/m; 205 gradient[0] = 3.406526 *tesla/m;
207 206
208 // QUADRUPOLE 2 207 // QUADRUPOLE 2
209 c0[1] = -5.; 208 c0[1] = -5.;
210 c1[1] = 2.5; 209 c1[1] = 2.5;
211 c2[1] = -0.1; 210 c2[1] = -0.1;
212 z1[1] = 60*mm; 211 z1[1] = 60*mm;
213 z2[1] = 130*mm; 212 z2[1] = 130*mm;
214 a0[1] = 10*mm; 213 a0[1] = 10*mm;
215 gradient[1] = -8.505263 *tesla/m; 214 gradient[1] = -8.505263 *tesla/m;
216 215
217 // QUADRUPOLE 3 216 // QUADRUPOLE 3
218 c0[2] = -5.; 217 c0[2] = -5.;
219 c1[2] = 2.5; 218 c1[2] = 2.5;
220 c2[2] = -0.1; 219 c2[2] = -0.1;
221 z1[2] = 60*mm; 220 z1[2] = 60*mm;
222 z2[2] = 130*mm; 221 z2[2] = 130*mm;
223 a0[2] = 10*mm; 222 a0[2] = 10*mm;
224 gradient[2] = 8.505263 *tesla/m; 223 gradient[2] = 8.505263 *tesla/m;
225 224
226 // QUADRUPOLE 4 225 // QUADRUPOLE 4
227 c0[3] = -5.; 226 c0[3] = -5.;
228 c1[3] = 2.5; 227 c1[3] = 2.5;
229 c2[3] = -0.1; 228 c2[3] = -0.1;
230 z1[3] = 60*mm; 229 z1[3] = 60*mm;
231 z2[3] = 130*mm; 230 z2[3] = 130*mm;
232 a0[3] = 10*mm; 231 a0[3] = 10*mm;
233 gradient[3] = -3.406526*tesla/m; 232 gradient[3] = -3.406526*tesla/m;
234 233
235 // FIELD CREATED BY A QUADRUPOLE IN ITS LOCA 234 // FIELD CREATED BY A QUADRUPOLE IN ITS LOCAL FRAME
236 G4double Bx_local,By_local,Bz_local; 235 G4double Bx_local,By_local,Bz_local;
237 Bx_local = 0; By_local = 0; Bz_local = 0; 236 Bx_local = 0; By_local = 0; Bz_local = 0;
238 237
239 // FIELD CREATED BY A QUADRUPOOLE IN WORLD F 238 // FIELD CREATED BY A QUADRUPOOLE IN WORLD FRAME
240 G4double Bx_quad,By_quad,Bz_quad; 239 G4double Bx_quad,By_quad,Bz_quad;
241 Bx_quad = 0; By_quad=0; Bz_quad=0; 240 Bx_quad = 0; By_quad=0; Bz_quad=0;
242 241
243 // QUADRUPOLE FRAME 242 // QUADRUPOLE FRAME
244 G4double x_local,y_local,z_local; 243 G4double x_local,y_local,z_local;
245 x_local= 0; y_local=0; z_local=0; 244 x_local= 0; y_local=0; z_local=0;
246 245
247 G4double vars = 0; 246 G4double vars = 0;
248 G4double G0, G1, G2, G3; 247 G4double G0, G1, G2, G3;
249 G4double K1, K2, K3; 248 G4double K1, K2, K3;
250 G4double P0, P1, P2, cte; 249 G4double P0, P1, P2, cte;
251 250
252 K1=0; 251 K1=0;
253 K2=0; 252 K2=0;
254 K3=0; 253 K3=0;
255 P0=0; 254 P0=0;
256 P1=0; 255 P1=0;
257 P2=0; 256 P2=0;
258 G0=0; 257 G0=0;
259 G1=0; 258 G1=0;
260 G2=0; 259 G2=0;
261 G3=0; 260 G3=0;
262 cte=0; 261 cte=0;
263 262
264 G4bool largeScattering=false; 263 G4bool largeScattering=false;
265 264
266 for (G4int i=0;i<4; i++) 265 for (G4int i=0;i<4; i++)
267 { 266 {
268 267
269 if (i==0) 268 if (i==0)
270 { xoprime = lineX + quadHalfLength*std::si 269 { xoprime = lineX + quadHalfLength*std::sin(lineAngle);
271 zoprime = lineZ + quadHalfLength*std::co 270 zoprime = lineZ + quadHalfLength*std::cos(lineAngle);
272 271
273 x_local = (x - xoprime) * std::cos (line 272 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
274 y_local = y; 273 y_local = y;
275 z_local = (z - zoprime) * std::cos (line 274 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
276 if (std::sqrt(x_local*x_local+y_local*y_ 275 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
277 276
278 } 277 }
279 278
280 if (i==1) 279 if (i==1)
281 { xoprime = lineX + (3*quadHalfLength+quad 280 { xoprime = lineX + (3*quadHalfLength+quadSpacing)*std::sin(lineAngle);
282 zoprime = lineZ + (3*quadHalfLength+quad 281 zoprime = lineZ + (3*quadHalfLength+quadSpacing)*std::cos(lineAngle);
283 282
284 x_local = (x - xoprime) * std::cos (line 283 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
285 y_local = y; 284 y_local = y;
286 z_local = (z - zoprime) * std::cos (line 285 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
287 if (std::sqrt(x_local*x_local+y_local*y_ 286 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
288 } 287 }
289 288
290 if (i==2) 289 if (i==2)
291 { xoprime = lineX + (5*quadHalfLength+2*qu 290 { xoprime = lineX + (5*quadHalfLength+2*quadSpacing)*std::sin(lineAngle);
292 zoprime = lineZ + (5*quadHalfLength+2*qu 291 zoprime = lineZ + (5*quadHalfLength+2*quadSpacing)*std::cos(lineAngle);
293 292
294 x_local = (x - xoprime) * std::cos (line 293 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
295 y_local = y; 294 y_local = y;
296 z_local = (z - zoprime) * std::cos (line 295 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
297 if (std::sqrt(x_local*x_local+y_local*y_ 296 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
298 } 297 }
299 298
300 if (i==3) 299 if (i==3)
301 { xoprime = lineX + (7*quadHalfLength+3*qu 300 { xoprime = lineX + (7*quadHalfLength+3*quadSpacing)*std::sin(lineAngle);
302 zoprime = lineZ + (7*quadHalfLength+3*qu 301 zoprime = lineZ + (7*quadHalfLength+3*quadSpacing)*std::cos(lineAngle);
303 302
304 x_local = (x - xoprime) * std::cos (line 303 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
305 y_local = y; 304 y_local = y;
306 z_local = (z - zoprime) * std::cos (line 305 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
307 if (std::sqrt(x_local*x_local+y_local*y_ 306 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
308 } 307 }
309 308
310 309
311 if ( z_local < -z2[i] ) << 310 if ( z_local < -z2[i] )
312 { 311 {
313 G0=0; 312 G0=0;
314 G1=0; 313 G1=0;
315 G2=0; 314 G2=0;
316 G3=0; 315 G3=0;
317 } 316 }
318 317
319 if ( z_local > z2[i] ) 318 if ( z_local > z2[i] )
320 { 319 {
321 G0=0; 320 G0=0;
322 G1=0; 321 G1=0;
323 G2=0; 322 G2=0;
324 G3=0; 323 G3=0;
325 } 324 }
326 325
327 if ( (z_local>=-z1[i]) & (z_local<=z1[i]) ) 326 if ( (z_local>=-z1[i]) & (z_local<=z1[i]) )
328 { 327 {
329 G0=gradient[i]; 328 G0=gradient[i];
330 G1=0; 329 G1=0;
331 G2=0; 330 G2=0;
332 G3=0; 331 G3=0;
333 } 332 }
334 333
335 if ( ((z_local>=-z2[i]) & (z_local<-z1[i])) 334 if ( ((z_local>=-z2[i]) & (z_local<-z1[i])) || ((z_local>z1[i]) & (z_local<=z2[i])) )
336 { 335 {
337 336
338 vars = ( z_local - z1[i]) / a0[i] ; << 337 vars = ( z_local - z1[i]) / a0[i] ;
339 if (z_local<-z1[i]) vars = ( - z_local - << 338 if (z_local<-z1[i]) vars = ( - z_local - z1[i]) / a0[i] ;
340 339
341 340
342 P0 = c0[i]+c1[i]*vars+c2[i]*vars*vars; << 341 P0 = c0[i]+c1[i]*vars+c2[i]*vars*vars;
343 342
344 P1 = c1[i]/a0[i]+2*c2[i]*(z_local-z1[i])/a << 343 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 << 344 if (z_local<-z1[i]) P1 = -c1[i]/a0[i]+2*c2[i]*(z_local+z1[i])/a0[i]/a0[i];
346 345
347 P2 = 2*c2[i]/a0[i]/a0[i]; << 346 P2 = 2*c2[i]/a0[i]/a0[i];
348 347
349 cte = 1 + G4Exp(c0[i]); << 348 cte = 1 + G4Exp(c0[i]);
350 349
351 K1 = -cte*P1*G4Exp(P0)/( (1+G4Exp(P0))*(1+ << 350 K1 = -cte*P1*G4Exp(P0)/( (1+G4Exp(P0))*(1+G4Exp(P0)) );
352 351
353 K2 = -cte*G4Exp(P0)*( << 352 K2 = -cte*G4Exp(P0)*(
354 P2/( (1+G4Exp(P0))*(1+G4Exp(P0)) ) << 353 P2/( (1+G4Exp(P0))*(1+G4Exp(P0)) )
355 +2*P1*K1/(1+G4Exp(P0))/cte << 354 +2*P1*K1/(1+G4Exp(P0))/cte
356 +P1*P1/(1+G4Exp(P0))/(1+G4Exp(P0)) << 355 +P1*P1/(1+G4Exp(P0))/(1+G4Exp(P0))
357 ); << 356 );
358 357
359 K3 = -cte*G4Exp(P0)*( << 358 K3 = -cte*G4Exp(P0)*(
360 (3*P2*P1+P1*P1*P1)/(1+G4Exp(P0))/(1+G4Exp( << 359 (3*P2*P1+P1*P1*P1)/(1+G4Exp(P0))/(1+G4Exp(P0))
361 +4*K1*(P1*P1+P2)/(1+G4Exp(P0))/cte << 360 +4*K1*(P1*P1+P2)/(1+G4Exp(P0))/cte
362 +2*P1*(K1*K1/cte/cte+K2/(1+G4Exp(P0))/cte) << 361 +2*P1*(K1*K1/cte/cte+K2/(1+G4Exp(P0))/cte)
363 ); << 362 );
364 363
365 G0 = gradient[i]*cte/(1+G4Exp(P0)); << 364 G0 = gradient[i]*cte/(1+G4Exp(P0));
366 G1 = gradient[i]*K1; << 365 G1 = gradient[i]*K1;
367 G2 = gradient[i]*K2; << 366 G2 = gradient[i]*K2;
368 G3 = gradient[i]*K3; << 367 G3 = gradient[i]*K3;
369 368
370 } 369 }
371 370
372 // PROTECTION AGAINST LARGE SCATTERING 371 // PROTECTION AGAINST LARGE SCATTERING
373 372
374 if ( largeScattering ) 373 if ( largeScattering )
375 { 374 {
376 G0=0; 375 G0=0;
377 G1=0; 376 G1=0;
378 G2=0; 377 G2=0;
379 G3=0; 378 G3=0;
380 } 379 }
381 380
382 // MAGNETIC FIELD COMPUTATION FOR EACH QUAD 381 // MAGNETIC FIELD COMPUTATION FOR EACH QUADRUPOLE
383 382
384 Bx_local = y_local*(G0-(1./12)*(3*x_local*x 383 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 384 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 385 Bz_local = x_local*y_local*(G1-(1./12)*(x_local*x_local+y_local*y_local)*G3);
387 386
388 Bx_quad = Bz_local*std::sin(lineAngle)+Bx_l 387 Bx_quad = Bz_local*std::sin(lineAngle)+Bx_local*std::cos(lineAngle);
389 By_quad = By_local; 388 By_quad = By_local;
390 Bz_quad = Bz_local*std::cos(lineAngle)-Bx_l 389 Bz_quad = Bz_local*std::cos(lineAngle)-Bx_local*std::sin(lineAngle);
391 390
392 // TOTAL MAGNETIC FIELD 391 // TOTAL MAGNETIC FIELD
393 392
394 Bx = Bx + Bx_quad ; 393 Bx = Bx + Bx_quad ;
395 By = By + By_quad ; 394 By = By + By_quad ;
396 Bz = Bz + Bz_quad ; 395 Bz = Bz + Bz_quad ;
397 396
398 } // LOOP ON QUADRUPOLES 397 } // LOOP ON QUADRUPOLES
399 398
400 399
401 } // END OF QUADRUPLET 400 } // END OF QUADRUPLET
402 401
403 Bfield[0] = Bx; 402 Bfield[0] = Bx;
404 Bfield[1] = By; 403 Bfield[1] = By;
405 Bfield[2] = Bz; 404 Bfield[2] = Bz;
406 405
407 // ***************************************** 406 // *****************************************
408 // ELECTRIC FIELD CREATED BY SCANNING PLATES 407 // ELECTRIC FIELD CREATED BY SCANNING PLATES
409 // ***************************************** 408 // *****************************************
410 409
411 Bfield[3] = 0; 410 Bfield[3] = 0;
412 Bfield[4] = 0; 411 Bfield[4] = 0;
413 Bfield[5] = 0; 412 Bfield[5] = 0;
414 413
415 // POSITION OF EXIT OF LAST QUAD WHERE THE S 414 // POSITION OF EXIT OF LAST QUAD WHERE THE SCANNING PLATES START
416 415
417 G4double electricPlateWidth1 = 5 * mm; 416 G4double electricPlateWidth1 = 5 * mm;
418 G4double electricPlateWidth2 = 5 * mm; 417 G4double electricPlateWidth2 = 5 * mm;
419 G4double electricPlateLength1 = 36 * mm; 418 G4double electricPlateLength1 = 36 * mm;
420 G4double electricPlateLength2 = 34 * mm; 419 G4double electricPlateLength2 = 34 * mm;
421 G4double electricPlateGap = 5 * mm; 420 G4double electricPlateGap = 5 * mm;
422 G4double electricPlateSpacing1 = 3 * mm; 421 G4double electricPlateSpacing1 = 3 * mm;
423 G4double electricPlateSpacing2 = 4 * mm; 422 G4double electricPlateSpacing2 = 4 * mm;
424 423
425 // APPLY VOLTAGE HERE IN VOLTS (no electrost 424 // APPLY VOLTAGE HERE IN VOLTS (no electrostatic deflection here)
426 G4double electricPlateVoltage1 = 0 * volt; 425 G4double electricPlateVoltage1 = 0 * volt;
427 G4double electricPlateVoltage2 = 0 * volt; 426 G4double electricPlateVoltage2 = 0 * volt;
428 427
429 G4double electricFieldPlate1 = electricPlate 428 G4double electricFieldPlate1 = electricPlateVoltage1 / electricPlateSpacing1 ;
430 G4double electricFieldPlate2 = electricPlate 429 G4double electricFieldPlate2 = electricPlateVoltage2 / electricPlateSpacing2 ;
431 430
432 G4double beginFirstZoneX = lineX + (8*quadH 431 G4double beginFirstZoneX = lineX + (8*quadHalfLength+3*quadSpacing)*std::sin(lineAngle);
433 G4double beginFirstZoneZ = lineZ + (8*quadH 432 G4double beginFirstZoneZ = lineZ + (8*quadHalfLength+3*quadSpacing)*std::cos(lineAngle);
434 433
435 G4double beginSecondZoneX = lineX + (8*quad 434 G4double beginSecondZoneX = lineX + (8*quadHalfLength+3*quadSpacing+electricPlateLength1+electricPlateGap)*std::sin(lineAngle);
436 G4double beginSecondZoneZ = lineZ + (8*quad 435 G4double beginSecondZoneZ = lineZ + (8*quadHalfLength+3*quadSpacing+electricPlateLength1+electricPlateGap)*std::cos(lineAngle);
437 436
438 G4double xA, zA, xB, zB, xC, zC, xD, zD; 437 G4double xA, zA, xB, zB, xC, zC, xD, zD;
439 G4double slope1, cte1, slope2, cte2, slope3, 438 G4double slope1, cte1, slope2, cte2, slope3, cte3, slope4, cte4;
440 439
441 // WARNING : lineAngle < 0 440 // WARNING : lineAngle < 0
442 441
443 // FIRST PLATES 442 // FIRST PLATES
444 443
445 xA = beginFirstZoneX + std::cos(lineAngle)*e 444 xA = beginFirstZoneX + std::cos(lineAngle)*electricPlateSpacing1/2;
446 zA = beginFirstZoneZ - std::sin(lineAngle)*e 445 zA = beginFirstZoneZ - std::sin(lineAngle)*electricPlateSpacing1/2;
447 446
448 xB = xA + std::sin(lineAngle)*electricPlateL 447 xB = xA + std::sin(lineAngle)*electricPlateLength1;
449 zB = zA + std::cos(lineAngle)*electricPlateL 448 zB = zA + std::cos(lineAngle)*electricPlateLength1;
450 449
451 xC = xB - std::cos(lineAngle)*electricPlateS 450 xC = xB - std::cos(lineAngle)*electricPlateSpacing1;
452 zC = zB + std::sin(lineAngle)*electricPlateS 451 zC = zB + std::sin(lineAngle)*electricPlateSpacing1;
453 452
454 xD = xC - std::sin(lineAngle)*electricPlateL 453 xD = xC - std::sin(lineAngle)*electricPlateLength1;
455 zD = zC - std::cos(lineAngle)*electricPlateL 454 zD = zC - std::cos(lineAngle)*electricPlateLength1;
456 455
457 slope1 = (xB-xA)/(zB-zA); 456 slope1 = (xB-xA)/(zB-zA);
458 cte1 = xA - slope1 * zA; 457 cte1 = xA - slope1 * zA;
459 458
460 slope2 = (xC-xB)/(zC-zB); 459 slope2 = (xC-xB)/(zC-zB);
461 cte2 = xB - slope2 * zB; 460 cte2 = xB - slope2 * zB;
462 461
463 slope3 = (xD-xC)/(zD-zC); 462 slope3 = (xD-xC)/(zD-zC);
464 cte3 = xC - slope3 * zC; 463 cte3 = xC - slope3 * zC;
465 464
466 slope4 = (xA-xD)/(zA-zD); 465 slope4 = (xA-xD)/(zA-zD);
467 cte4 = xD - slope4 * zD; 466 cte4 = xD - slope4 * zD;
468 467
469 468
470 if 469 if
471 ( 470 (
472 x <= slope1 * z + cte1 << 471 x <= slope1 * z + cte1
473 && x >= slope3 * z + cte3 << 472 && x >= slope3 * z + cte3
474 && x <= slope4 * z + cte4 << 473 && x <= slope4 * z + cte4
475 && x >= slope2 * z + cte2 << 474 && x >= slope2 * z + cte2
476 && std::abs(y)<=electricPlateWidth1/2 << 475 && std::abs(y)<=electricPlateWidth1/2
477 ) 476 )
478 477
479 { 478 {
480 Bfield[3] = electricFieldPlate1*std::cos 479 Bfield[3] = electricFieldPlate1*std::cos(lineAngle);
481 Bfield[4] = 0; 480 Bfield[4] = 0;
482 Bfield[5] = -electricFieldPlate1*std::si 481 Bfield[5] = -electricFieldPlate1*std::sin(lineAngle);
483 482
484 } 483 }
485 484
486 // SECOND PLATES 485 // SECOND PLATES
487 486
488 xA = beginSecondZoneX + std::cos(lineAngle)* 487 xA = beginSecondZoneX + std::cos(lineAngle)*electricPlateWidth2/2;
489 zA = beginSecondZoneZ - std::sin(lineAngle)* 488 zA = beginSecondZoneZ - std::sin(lineAngle)*electricPlateWidth2/2;
490 489
491 xB = xA + std::sin(lineAngle)*electricPlateL 490 xB = xA + std::sin(lineAngle)*electricPlateLength2;
492 zB = zA + std::cos(lineAngle)*electricPlateL 491 zB = zA + std::cos(lineAngle)*electricPlateLength2;
493 492
494 xC = xB - std::cos(lineAngle)*electricPlateW 493 xC = xB - std::cos(lineAngle)*electricPlateWidth2;
495 zC = zB + std::sin(lineAngle)*electricPlateW 494 zC = zB + std::sin(lineAngle)*electricPlateWidth2;
496 495
497 xD = xC - std::sin(lineAngle)*electricPlateL 496 xD = xC - std::sin(lineAngle)*electricPlateLength2;
498 zD = zC - std::cos(lineAngle)*electricPlateL 497 zD = zC - std::cos(lineAngle)*electricPlateLength2;
499 498
500 slope1 = (xB-xA)/(zB-zA); 499 slope1 = (xB-xA)/(zB-zA);
501 cte1 = xA - slope1 * zA; 500 cte1 = xA - slope1 * zA;
502 501
503 slope2 = (xC-xB)/(zC-zB); 502 slope2 = (xC-xB)/(zC-zB);
504 cte2 = xB - slope2 * zB; 503 cte2 = xB - slope2 * zB;
505 504
506 slope3 = (xD-xC)/(zD-zC); 505 slope3 = (xD-xC)/(zD-zC);
507 cte3 = xC - slope3 * zC; 506 cte3 = xC - slope3 * zC;
508 507
509 slope4 = (xA-xD)/(zA-zD); 508 slope4 = (xA-xD)/(zA-zD);
510 cte4 = xD - slope4 * zD; 509 cte4 = xD - slope4 * zD;
511 510
512 if 511 if
513 ( 512 (
514 x <= slope1 * z + cte1 << 513 x <= slope1 * z + cte1
515 && x >= slope3 * z + cte3 << 514 && x >= slope3 * z + cte3
516 && x <= slope4 * z + cte4 << 515 && x <= slope4 * z + cte4
517 && x >= slope2 * z + cte2 << 516 && x >= slope2 * z + cte2
518 && std::abs(y)<=electricPlateSpacing2/2 << 517 && std::abs(y)<=electricPlateSpacing2/2
519 ) 518 )
520 519
521 { 520 {
522 Bfield[3] = 0; 521 Bfield[3] = 0;
523 Bfield[4] = electricFieldPlate2; 522 Bfield[4] = electricFieldPlate2;
524 Bfield[5] = 0; 523 Bfield[5] = 0;
525 } 524 }
>> 525
>> 526 //
526 527
527 } 528 }
528 529