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1 // 1 //
2 // ******************************************* 2 // ********************************************************************
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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. *
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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 // 34 //
35 // Based on purging magnet advanced example. 35 // Based on purging magnet advanced example.
36 // 36 //
37 37
38 #include "EMField.hh" 38 #include "EMField.hh"
39 #include "G4Exp.hh" 39 #include "G4Exp.hh"
40 #include "G4SystemOfUnits.hh" 40 #include "G4SystemOfUnits.hh"
41 41
42 EMField::EMField() 42 EMField::EMField()
43 {} 43 {}
44 44
45 void EMField::GetFieldValue(const double point 45 void EMField::GetFieldValue(const double point[4], double *Bfield ) const
46 { 46 {
47 // Magnetic field 47 // Magnetic field
48 Bfield[0] = 0; 48 Bfield[0] = 0;
49 Bfield[1] = 0; 49 Bfield[1] = 0;
50 Bfield[2] = 0; 50 Bfield[2] = 0;
51 51
52 // Electric field 52 // Electric field
53 Bfield[3] = 0; 53 Bfield[3] = 0;
54 Bfield[4] = 0; 54 Bfield[4] = 0;
55 Bfield[5] = 0; 55 Bfield[5] = 0;
56 56
57 G4double Bx = 0; 57 G4double Bx = 0;
58 G4double By = 0; 58 G4double By = 0;
59 G4double Bz = 0; 59 G4double Bz = 0;
60 60
61 G4double x = point[0]; 61 G4double x = point[0];
62 G4double y = point[1]; 62 G4double y = point[1];
63 G4double z = point[2]; 63 G4double z = point[2];
64 64
65 // *********************** 65 // ***********************
66 // AIFIRA SWITCHING MAGNET 66 // AIFIRA SWITCHING MAGNET
67 // *********************** 67 // ***********************
68 68
69 // MAGNETIC FIELD VALUE FOR 3 MeV ALPHAS 69 // MAGNETIC FIELD VALUE FOR 3 MeV ALPHAS
70 G4double switchingField = 0.0589768635 * tes << 70 // G4double switchingField = 0.0589768635 * tesla ;
>> 71 G4double switchingField = 0.0590201 * tesla ;
71 72
72 // BEAM START 73 // BEAM START
73 G4double beamStart = -10*m; 74 G4double beamStart = -10*m;
74 75
75 // RADIUS 76 // RADIUS
76 G4double Rp = 0.698*m; 77 G4double Rp = 0.698*m;
77 78
78 // ENTRANCE POSITION AFTER ANALYSIS MAGNET 79 // ENTRANCE POSITION AFTER ANALYSIS MAGNET
79 G4double zS = 975*mm; 80 G4double zS = 975*mm;
80 81
81 // POLE GAP 82 // POLE GAP
82 G4double D = 31.8*mm; 83 G4double D = 31.8*mm;
83 84
84 // FRINGING FIELD 85 // FRINGING FIELD
85 86
86 G4double fieldBoundary, wc0, wc1, wc2, wc3, 87 G4double fieldBoundary, wc0, wc1, wc2, wc3, limitMinEntrance, limitMaxEntrance, limitMinExit, limitMaxExit;
87 88
88 limitMinEntrance = beamStart+zS-4*D; 89 limitMinEntrance = beamStart+zS-4*D;
89 limitMaxEntrance = beamStart+zS+4*D; 90 limitMaxEntrance = beamStart+zS+4*D;
90 limitMinExit =Rp-4*D; 91 limitMinExit =Rp-4*D;
91 limitMaxExit =Rp+4*D; 92 limitMaxExit =Rp+4*D;
92 93
93 wc0 = 0.3835; 94 wc0 = 0.3835;
94 wc1 = 2.388; 95 wc1 = 2.388;
95 wc2 = -0.8171; 96 wc2 = -0.8171;
96 wc3 = 0.200; 97 wc3 = 0.200;
97 98
98 fieldBoundary=0.62; 99 fieldBoundary=0.62;
99 100
100 G4double ws, largeS, h, dhdlargeS, dhds, dla 101 G4double ws, largeS, h, dhdlargeS, dhds, dlargeSds, dsdz, dsdx, zs0, Rs0, xcenter, zcenter;
101 102
102 // - ENTRANCE OF SWITCHING MAGNET 103 // - ENTRANCE OF SWITCHING MAGNET
103 104
104 if ( (z >= limitMinEntrance) && (z < limitMaxE 105 if ( (z >= limitMinEntrance) && (z < limitMaxEntrance) )
105 { 106 {
106 zs0 = fieldBoundary*D; 107 zs0 = fieldBoundary*D;
107 ws = (-z+beamStart+zS-zs0)/D; 108 ws = (-z+beamStart+zS-zs0)/D;
108 dsdz = -1/D; 109 dsdz = -1/D;
109 dsdx = 0; 110 dsdx = 0;
110 111
111 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*w 112 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*ws*ws;
112 h = 1./(1.+G4Exp(largeS)); 113 h = 1./(1.+G4Exp(largeS));
113 dhdlargeS = -G4Exp(largeS)*h*h; 114 dhdlargeS = -G4Exp(largeS)*h*h;
114 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws; 115 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws;
115 dhds = dhdlargeS * dlargeSds; 116 dhds = dhdlargeS * dlargeSds;
116 117
117 By = switchingField * h ; 118 By = switchingField * h ;
118 Bx = y*switchingField*dhds*dsdx; 119 Bx = y*switchingField*dhds*dsdx;
119 Bz = y*switchingField*dhds*dsdz; 120 Bz = y*switchingField*dhds*dsdz;
120 121
121 } 122 }
122 123
123 // - HEART OF SWITCHING MAGNET 124 // - HEART OF SWITCHING MAGNET
124 125
125 if ( 126 if (
126 (z >= limitMaxEntrance) 127 (z >= limitMaxEntrance)
127 && (( x*x + (z -(beamStart+zS))*(z -(be 128 && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS)) < limitMinExit*limitMinExit))
128 ) 129 )
129 { 130 {
130 Bx=0; 131 Bx=0;
131 By = switchingField; 132 By = switchingField;
132 Bz=0; 133 Bz=0;
133 } 134 }
134 135
135 // - EXIT OF SWITCHING MAGNET 136 // - EXIT OF SWITCHING MAGNET
136 137
137 if ( 138 if (
138 (z >= limitMaxEntrance) 139 (z >= limitMaxEntrance)
139 && (( x*x + (z -(beamStart+zS))*(z -(beam 140 && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS))) >= limitMinExit*limitMinExit)
140 && (( x*x + (z -(beamStart+zS))*(z -(beam 141 && (( x*x + (z -(beamStart+zS))*(z -(beamStart+zS))) < limitMaxExit*limitMaxExit)
141 142
142 ) 143 )
143 { 144 {
144 145
145 xcenter = 0; 146 xcenter = 0;
146 zcenter = beamStart+zS; 147 zcenter = beamStart+zS;
147 148
148 Rs0 = Rp + D*fieldBoundary; 149 Rs0 = Rp + D*fieldBoundary;
149 ws = (std::sqrt((z-zcenter)*(z-zcenter)+(x-x 150 ws = (std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter)) - Rs0)/D;
150 151
151 dsdz = (1/D)*(z-zcenter)/std::sqrt((z-zcente 152 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 153 dsdx = (1/D)*(x-xcenter)/std::sqrt((z-zcenter)*(z-zcenter)+(x-xcenter)*(x-xcenter));
153 154
154 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*w 155 largeS = wc0 + wc1*ws + wc2*ws*ws + wc3*ws*ws*ws;
155 h = 1./(1.+G4Exp(largeS)); 156 h = 1./(1.+G4Exp(largeS));
156 dhdlargeS = -G4Exp(largeS)*h*h; 157 dhdlargeS = -G4Exp(largeS)*h*h;
157 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws; 158 dlargeSds = wc1+ 2*wc2*ws + 3*wc3*ws*ws;
158 dhds = dhdlargeS * dlargeSds; 159 dhds = dhdlargeS * dlargeSds;
159 160
160 By = switchingField * h ; 161 By = switchingField * h ;
161 Bx = y*switchingField*dhds*dsdx; 162 Bx = y*switchingField*dhds*dsdx;
162 Bz = y*switchingField*dhds*dsdz; 163 Bz = y*switchingField*dhds*dsdz;
163 164
164 } 165 }
165 166
166 // ************************** 167 // **************************
167 // MICROBEAM LINE QUADRUPOLES 168 // MICROBEAM LINE QUADRUPOLES
168 // ************************** 169 // **************************
169 170
170 // MICROBEAM LINE ANGLE 171 // MICROBEAM LINE ANGLE
171 G4double lineAngle = -10*deg; 172 G4double lineAngle = -10*deg;
172 173
173 // X POSITION OF FIRST QUADRUPOLE 174 // X POSITION OF FIRST QUADRUPOLE
174 G4double lineX = -1295.59*mm; 175 G4double lineX = -1295.59*mm;
175 176
176 // Z POSITION OF FIRST QUADRUPOLE 177 // Z POSITION OF FIRST QUADRUPOLE
177 G4double lineZ = -1327*mm; 178 G4double lineZ = -1327*mm;
178 179
179 // Adjust magnetic zone absolute position 180 // Adjust magnetic zone absolute position
180 lineX = lineX + 5.24*micrometer*std::cos(-li 181 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 182 lineZ = lineZ + 5.24*micrometer*std::sin(-lineAngle);
182 183
183 // QUADRUPOLE HALF LENGTH 184 // QUADRUPOLE HALF LENGTH
184 G4double quadHalfLength = 75*mm; 185 G4double quadHalfLength = 75*mm;
185 186
186 // QUADRUPOLE SPACING 187 // QUADRUPOLE SPACING
187 G4double quadSpacing = 40*mm; 188 G4double quadSpacing = 40*mm;
188 189
189 // QUADRUPOLE CENTER COORDINATES 190 // QUADRUPOLE CENTER COORDINATES
190 G4double xoprime, zoprime; 191 G4double xoprime, zoprime;
191 192
192 if (z>=-1400*mm && z <-200*mm) 193 if (z>=-1400*mm && z <-200*mm)
193 { 194 {
194 Bx=0; By=0; Bz=0; 195 Bx=0; By=0; Bz=0;
195 196
196 // FRINGING FILED CONSTANTS 197 // FRINGING FILED CONSTANTS
197 G4double c0[4], c1[4], c2[4], z1[4], z2[4], 198 G4double c0[4], c1[4], c2[4], z1[4], z2[4], a0[4], gradient[4];
198 199
199 // QUADRUPOLE 1 200 // QUADRUPOLE 1
200 c0[0] = -5.; 201 c0[0] = -5.;
201 c1[0] = 2.5; 202 c1[0] = 2.5;
202 c2[0] = -0.1; 203 c2[0] = -0.1;
203 z1[0] = 60*mm; 204 z1[0] = 60*mm;
204 z2[0] = 130*mm; 205 z2[0] = 130*mm;
205 a0[0] = 10*mm; 206 a0[0] = 10*mm;
206 gradient[0] = 3.406526 *tesla/m; 207 gradient[0] = 3.406526 *tesla/m;
207 208
208 // QUADRUPOLE 2 209 // QUADRUPOLE 2
209 c0[1] = -5.; 210 c0[1] = -5.;
210 c1[1] = 2.5; 211 c1[1] = 2.5;
211 c2[1] = -0.1; 212 c2[1] = -0.1;
212 z1[1] = 60*mm; 213 z1[1] = 60*mm;
213 z2[1] = 130*mm; 214 z2[1] = 130*mm;
214 a0[1] = 10*mm; 215 a0[1] = 10*mm;
215 gradient[1] = -8.505263 *tesla/m; 216 gradient[1] = -8.505263 *tesla/m;
216 217
217 // QUADRUPOLE 3 218 // QUADRUPOLE 3
218 c0[2] = -5.; 219 c0[2] = -5.;
219 c1[2] = 2.5; 220 c1[2] = 2.5;
220 c2[2] = -0.1; 221 c2[2] = -0.1;
221 z1[2] = 60*mm; 222 z1[2] = 60*mm;
222 z2[2] = 130*mm; 223 z2[2] = 130*mm;
223 a0[2] = 10*mm; 224 a0[2] = 10*mm;
224 gradient[2] = 8.505263 *tesla/m; 225 gradient[2] = 8.505263 *tesla/m;
225 226
226 // QUADRUPOLE 4 227 // QUADRUPOLE 4
227 c0[3] = -5.; 228 c0[3] = -5.;
228 c1[3] = 2.5; 229 c1[3] = 2.5;
229 c2[3] = -0.1; 230 c2[3] = -0.1;
230 z1[3] = 60*mm; 231 z1[3] = 60*mm;
231 z2[3] = 130*mm; 232 z2[3] = 130*mm;
232 a0[3] = 10*mm; 233 a0[3] = 10*mm;
233 gradient[3] = -3.406526*tesla/m; 234 gradient[3] = -3.406526*tesla/m;
234 235
235 // FIELD CREATED BY A QUADRUPOLE IN ITS LOCA 236 // FIELD CREATED BY A QUADRUPOLE IN ITS LOCAL FRAME
236 G4double Bx_local,By_local,Bz_local; 237 G4double Bx_local,By_local,Bz_local;
237 Bx_local = 0; By_local = 0; Bz_local = 0; 238 Bx_local = 0; By_local = 0; Bz_local = 0;
238 239
239 // FIELD CREATED BY A QUADRUPOOLE IN WORLD F 240 // FIELD CREATED BY A QUADRUPOOLE IN WORLD FRAME
240 G4double Bx_quad,By_quad,Bz_quad; 241 G4double Bx_quad,By_quad,Bz_quad;
241 Bx_quad = 0; By_quad=0; Bz_quad=0; 242 Bx_quad = 0; By_quad=0; Bz_quad=0;
242 243
243 // QUADRUPOLE FRAME 244 // QUADRUPOLE FRAME
244 G4double x_local,y_local,z_local; 245 G4double x_local,y_local,z_local;
245 x_local= 0; y_local=0; z_local=0; 246 x_local= 0; y_local=0; z_local=0;
246 247
247 G4double vars = 0; 248 G4double vars = 0;
248 G4double G0, G1, G2, G3; 249 G4double G0, G1, G2, G3;
249 G4double K1, K2, K3; 250 G4double K1, K2, K3;
250 G4double P0, P1, P2, cte; 251 G4double P0, P1, P2, cte;
251 252
252 K1=0; 253 K1=0;
253 K2=0; 254 K2=0;
254 K3=0; 255 K3=0;
255 P0=0; 256 P0=0;
256 P1=0; 257 P1=0;
257 P2=0; 258 P2=0;
258 G0=0; 259 G0=0;
259 G1=0; 260 G1=0;
260 G2=0; 261 G2=0;
261 G3=0; 262 G3=0;
262 cte=0; 263 cte=0;
263 264
264 G4bool largeScattering=false; 265 G4bool largeScattering=false;
265 266
266 for (G4int i=0;i<4; i++) 267 for (G4int i=0;i<4; i++)
267 { 268 {
268 269
269 if (i==0) 270 if (i==0)
270 { xoprime = lineX + quadHalfLength*std::si 271 { xoprime = lineX + quadHalfLength*std::sin(lineAngle);
271 zoprime = lineZ + quadHalfLength*std::co 272 zoprime = lineZ + quadHalfLength*std::cos(lineAngle);
272 273
273 x_local = (x - xoprime) * std::cos (line 274 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
274 y_local = y; 275 y_local = y;
275 z_local = (z - zoprime) * std::cos (line 276 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
276 if (std::sqrt(x_local*x_local+y_local*y_ 277 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
277 278
278 } 279 }
279 280
280 if (i==1) 281 if (i==1)
281 { xoprime = lineX + (3*quadHalfLength+quad 282 { xoprime = lineX + (3*quadHalfLength+quadSpacing)*std::sin(lineAngle);
282 zoprime = lineZ + (3*quadHalfLength+quad 283 zoprime = lineZ + (3*quadHalfLength+quadSpacing)*std::cos(lineAngle);
283 284
284 x_local = (x - xoprime) * std::cos (line 285 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
285 y_local = y; 286 y_local = y;
286 z_local = (z - zoprime) * std::cos (line 287 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
287 if (std::sqrt(x_local*x_local+y_local*y_ 288 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
288 } 289 }
289 290
290 if (i==2) 291 if (i==2)
291 { xoprime = lineX + (5*quadHalfLength+2*qu 292 { xoprime = lineX + (5*quadHalfLength+2*quadSpacing)*std::sin(lineAngle);
292 zoprime = lineZ + (5*quadHalfLength+2*qu 293 zoprime = lineZ + (5*quadHalfLength+2*quadSpacing)*std::cos(lineAngle);
293 294
294 x_local = (x - xoprime) * std::cos (line 295 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
295 y_local = y; 296 y_local = y;
296 z_local = (z - zoprime) * std::cos (line 297 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
297 if (std::sqrt(x_local*x_local+y_local*y_ 298 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
298 } 299 }
299 300
300 if (i==3) 301 if (i==3)
301 { xoprime = lineX + (7*quadHalfLength+3*qu 302 { xoprime = lineX + (7*quadHalfLength+3*quadSpacing)*std::sin(lineAngle);
302 zoprime = lineZ + (7*quadHalfLength+3*qu 303 zoprime = lineZ + (7*quadHalfLength+3*quadSpacing)*std::cos(lineAngle);
303 304
304 x_local = (x - xoprime) * std::cos (line 305 x_local = (x - xoprime) * std::cos (lineAngle) - (z - zoprime) * std::sin (lineAngle);
305 y_local = y; 306 y_local = y;
306 z_local = (z - zoprime) * std::cos (line 307 z_local = (z - zoprime) * std::cos (lineAngle) + (x - xoprime) * std::sin (lineAngle);
307 if (std::sqrt(x_local*x_local+y_local*y_ 308 if (std::sqrt(x_local*x_local+y_local*y_local)>a0[i]) largeScattering=true;
308 } 309 }
309 310
310 311
311 if ( z_local < -z2[i] ) 312 if ( z_local < -z2[i] )
312 { 313 {
313 G0=0; 314 G0=0;
314 G1=0; 315 G1=0;
315 G2=0; 316 G2=0;
316 G3=0; 317 G3=0;
317 } 318 }
318 319
319 if ( z_local > z2[i] ) 320 if ( z_local > z2[i] )
320 { 321 {
321 G0=0; 322 G0=0;
322 G1=0; 323 G1=0;
323 G2=0; 324 G2=0;
324 G3=0; 325 G3=0;
325 } 326 }
326 327
327 if ( (z_local>=-z1[i]) & (z_local<=z1[i]) ) 328 if ( (z_local>=-z1[i]) & (z_local<=z1[i]) )
328 { 329 {
329 G0=gradient[i]; 330 G0=gradient[i];
330 G1=0; 331 G1=0;
331 G2=0; 332 G2=0;
332 G3=0; 333 G3=0;
333 } 334 }
334 335
335 if ( ((z_local>=-z2[i]) & (z_local<-z1[i])) 336 if ( ((z_local>=-z2[i]) & (z_local<-z1[i])) || ((z_local>z1[i]) & (z_local<=z2[i])) )
336 { 337 {
337 338
338 vars = ( z_local - z1[i]) / a0[i] ; 339 vars = ( z_local - z1[i]) / a0[i] ;
339 if (z_local<-z1[i]) vars = ( - z_local - 340 if (z_local<-z1[i]) vars = ( - z_local - z1[i]) / a0[i] ;
340 341
341 342
342 P0 = c0[i]+c1[i]*vars+c2[i]*vars*vars; 343 P0 = c0[i]+c1[i]*vars+c2[i]*vars*vars;
343 344
344 P1 = c1[i]/a0[i]+2*c2[i]*(z_local-z1[i])/a 345 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 346 if (z_local<-z1[i]) P1 = -c1[i]/a0[i]+2*c2[i]*(z_local+z1[i])/a0[i]/a0[i];
346 347
347 P2 = 2*c2[i]/a0[i]/a0[i]; 348 P2 = 2*c2[i]/a0[i]/a0[i];
348 349
349 cte = 1 + G4Exp(c0[i]); 350 cte = 1 + G4Exp(c0[i]);
350 351
351 K1 = -cte*P1*G4Exp(P0)/( (1+G4Exp(P0))*(1+ 352 K1 = -cte*P1*G4Exp(P0)/( (1+G4Exp(P0))*(1+G4Exp(P0)) );
352 353
353 K2 = -cte*G4Exp(P0)*( 354 K2 = -cte*G4Exp(P0)*(
354 P2/( (1+G4Exp(P0))*(1+G4Exp(P0)) ) 355 P2/( (1+G4Exp(P0))*(1+G4Exp(P0)) )
355 +2*P1*K1/(1+G4Exp(P0))/cte 356 +2*P1*K1/(1+G4Exp(P0))/cte
356 +P1*P1/(1+G4Exp(P0))/(1+G4Exp(P0)) 357 +P1*P1/(1+G4Exp(P0))/(1+G4Exp(P0))
357 ); 358 );
358 359
359 K3 = -cte*G4Exp(P0)*( 360 K3 = -cte*G4Exp(P0)*(
360 (3*P2*P1+P1*P1*P1)/(1+G4Exp(P0))/(1+G4Exp( 361 (3*P2*P1+P1*P1*P1)/(1+G4Exp(P0))/(1+G4Exp(P0))
361 +4*K1*(P1*P1+P2)/(1+G4Exp(P0))/cte 362 +4*K1*(P1*P1+P2)/(1+G4Exp(P0))/cte
362 +2*P1*(K1*K1/cte/cte+K2/(1+G4Exp(P0))/cte) 363 +2*P1*(K1*K1/cte/cte+K2/(1+G4Exp(P0))/cte)
363 ); 364 );
364 365
365 G0 = gradient[i]*cte/(1+G4Exp(P0)); 366 G0 = gradient[i]*cte/(1+G4Exp(P0));
366 G1 = gradient[i]*K1; 367 G1 = gradient[i]*K1;
367 G2 = gradient[i]*K2; 368 G2 = gradient[i]*K2;
368 G3 = gradient[i]*K3; 369 G3 = gradient[i]*K3;
369 370
370 } 371 }
371 372
372 // PROTECTION AGAINST LARGE SCATTERING 373 // PROTECTION AGAINST LARGE SCATTERING
373 374
374 if ( largeScattering ) 375 if ( largeScattering )
375 { 376 {
376 G0=0; 377 G0=0;
377 G1=0; 378 G1=0;
378 G2=0; 379 G2=0;
379 G3=0; 380 G3=0;
380 } 381 }
381 382
382 // MAGNETIC FIELD COMPUTATION FOR EACH QUAD 383 // MAGNETIC FIELD COMPUTATION FOR EACH QUADRUPOLE
383 384
384 Bx_local = y_local*(G0-(1./12)*(3*x_local*x 385 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 386 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 387 Bz_local = x_local*y_local*(G1-(1./12)*(x_local*x_local+y_local*y_local)*G3);
387 388
388 Bx_quad = Bz_local*std::sin(lineAngle)+Bx_l 389 Bx_quad = Bz_local*std::sin(lineAngle)+Bx_local*std::cos(lineAngle);
389 By_quad = By_local; 390 By_quad = By_local;
390 Bz_quad = Bz_local*std::cos(lineAngle)-Bx_l 391 Bz_quad = Bz_local*std::cos(lineAngle)-Bx_local*std::sin(lineAngle);
391 392
392 // TOTAL MAGNETIC FIELD 393 // TOTAL MAGNETIC FIELD
393 394
394 Bx = Bx + Bx_quad ; 395 Bx = Bx + Bx_quad ;
395 By = By + By_quad ; 396 By = By + By_quad ;
396 Bz = Bz + Bz_quad ; 397 Bz = Bz + Bz_quad ;
397 398
398 } // LOOP ON QUADRUPOLES 399 } // LOOP ON QUADRUPOLES
399 400
400 401
401 } // END OF QUADRUPLET 402 } // END OF QUADRUPLET
402 403
403 Bfield[0] = Bx; 404 Bfield[0] = Bx;
404 Bfield[1] = By; 405 Bfield[1] = By;
405 Bfield[2] = Bz; 406 Bfield[2] = Bz;
406 407
407 // ***************************************** 408 // *****************************************
408 // ELECTRIC FIELD CREATED BY SCANNING PLATES 409 // ELECTRIC FIELD CREATED BY SCANNING PLATES
409 // ***************************************** 410 // *****************************************
410 411
411 Bfield[3] = 0; 412 Bfield[3] = 0;
412 Bfield[4] = 0; 413 Bfield[4] = 0;
413 Bfield[5] = 0; 414 Bfield[5] = 0;
414 415
415 // POSITION OF EXIT OF LAST QUAD WHERE THE S 416 // POSITION OF EXIT OF LAST QUAD WHERE THE SCANNING PLATES START
416 417
417 G4double electricPlateWidth1 = 5 * mm; 418 G4double electricPlateWidth1 = 5 * mm;
418 G4double electricPlateWidth2 = 5 * mm; 419 G4double electricPlateWidth2 = 5 * mm;
419 G4double electricPlateLength1 = 36 * mm; 420 G4double electricPlateLength1 = 36 * mm;
420 G4double electricPlateLength2 = 34 * mm; 421 G4double electricPlateLength2 = 34 * mm;
421 G4double electricPlateGap = 5 * mm; 422 G4double electricPlateGap = 5 * mm;
422 G4double electricPlateSpacing1 = 3 * mm; 423 G4double electricPlateSpacing1 = 3 * mm;
423 G4double electricPlateSpacing2 = 4 * mm; 424 G4double electricPlateSpacing2 = 4 * mm;
424 425
425 // APPLY VOLTAGE HERE IN VOLTS (no electrost 426 // APPLY VOLTAGE HERE IN VOLTS (no electrostatic deflection here)
426 G4double electricPlateVoltage1 = 0 * volt; 427 G4double electricPlateVoltage1 = 0 * volt;
427 G4double electricPlateVoltage2 = 0 * volt; 428 G4double electricPlateVoltage2 = 0 * volt;
428 429
429 G4double electricFieldPlate1 = electricPlate 430 G4double electricFieldPlate1 = electricPlateVoltage1 / electricPlateSpacing1 ;
430 G4double electricFieldPlate2 = electricPlate 431 G4double electricFieldPlate2 = electricPlateVoltage2 / electricPlateSpacing2 ;
431 432
432 G4double beginFirstZoneX = lineX + (8*quadH 433 G4double beginFirstZoneX = lineX + (8*quadHalfLength+3*quadSpacing)*std::sin(lineAngle);
433 G4double beginFirstZoneZ = lineZ + (8*quadH 434 G4double beginFirstZoneZ = lineZ + (8*quadHalfLength+3*quadSpacing)*std::cos(lineAngle);
434 435
435 G4double beginSecondZoneX = lineX + (8*quad 436 G4double beginSecondZoneX = lineX + (8*quadHalfLength+3*quadSpacing+electricPlateLength1+electricPlateGap)*std::sin(lineAngle);
436 G4double beginSecondZoneZ = lineZ + (8*quad 437 G4double beginSecondZoneZ = lineZ + (8*quadHalfLength+3*quadSpacing+electricPlateLength1+electricPlateGap)*std::cos(lineAngle);
437 438
438 G4double xA, zA, xB, zB, xC, zC, xD, zD; 439 G4double xA, zA, xB, zB, xC, zC, xD, zD;
439 G4double slope1, cte1, slope2, cte2, slope3, 440 G4double slope1, cte1, slope2, cte2, slope3, cte3, slope4, cte4;
440 441
441 // WARNING : lineAngle < 0 442 // WARNING : lineAngle < 0
442 443
443 // FIRST PLATES 444 // FIRST PLATES
444 445
445 xA = beginFirstZoneX + std::cos(lineAngle)*e 446 xA = beginFirstZoneX + std::cos(lineAngle)*electricPlateSpacing1/2;
446 zA = beginFirstZoneZ - std::sin(lineAngle)*e 447 zA = beginFirstZoneZ - std::sin(lineAngle)*electricPlateSpacing1/2;
447 448
448 xB = xA + std::sin(lineAngle)*electricPlateL 449 xB = xA + std::sin(lineAngle)*electricPlateLength1;
449 zB = zA + std::cos(lineAngle)*electricPlateL 450 zB = zA + std::cos(lineAngle)*electricPlateLength1;
450 451
451 xC = xB - std::cos(lineAngle)*electricPlateS 452 xC = xB - std::cos(lineAngle)*electricPlateSpacing1;
452 zC = zB + std::sin(lineAngle)*electricPlateS 453 zC = zB + std::sin(lineAngle)*electricPlateSpacing1;
453 454
454 xD = xC - std::sin(lineAngle)*electricPlateL 455 xD = xC - std::sin(lineAngle)*electricPlateLength1;
455 zD = zC - std::cos(lineAngle)*electricPlateL 456 zD = zC - std::cos(lineAngle)*electricPlateLength1;
456 457
457 slope1 = (xB-xA)/(zB-zA); 458 slope1 = (xB-xA)/(zB-zA);
458 cte1 = xA - slope1 * zA; 459 cte1 = xA - slope1 * zA;
459 460
460 slope2 = (xC-xB)/(zC-zB); 461 slope2 = (xC-xB)/(zC-zB);
461 cte2 = xB - slope2 * zB; 462 cte2 = xB - slope2 * zB;
462 463
463 slope3 = (xD-xC)/(zD-zC); 464 slope3 = (xD-xC)/(zD-zC);
464 cte3 = xC - slope3 * zC; 465 cte3 = xC - slope3 * zC;
465 466
466 slope4 = (xA-xD)/(zA-zD); 467 slope4 = (xA-xD)/(zA-zD);
467 cte4 = xD - slope4 * zD; 468 cte4 = xD - slope4 * zD;
468 469
469 470
470 if 471 if
471 ( 472 (
472 x <= slope1 * z + cte1 473 x <= slope1 * z + cte1
473 && x >= slope3 * z + cte3 474 && x >= slope3 * z + cte3
474 && x <= slope4 * z + cte4 475 && x <= slope4 * z + cte4
475 && x >= slope2 * z + cte2 476 && x >= slope2 * z + cte2
476 && std::abs(y)<=electricPlateWidth1/2 477 && std::abs(y)<=electricPlateWidth1/2
477 ) 478 )
478 479
479 { 480 {
480 Bfield[3] = electricFieldPlate1*std::cos 481 Bfield[3] = electricFieldPlate1*std::cos(lineAngle);
481 Bfield[4] = 0; 482 Bfield[4] = 0;
482 Bfield[5] = -electricFieldPlate1*std::si 483 Bfield[5] = -electricFieldPlate1*std::sin(lineAngle);
483 484
484 } 485 }
485 486
486 // SECOND PLATES 487 // SECOND PLATES
487 488
488 xA = beginSecondZoneX + std::cos(lineAngle)* 489 xA = beginSecondZoneX + std::cos(lineAngle)*electricPlateWidth2/2;
489 zA = beginSecondZoneZ - std::sin(lineAngle)* 490 zA = beginSecondZoneZ - std::sin(lineAngle)*electricPlateWidth2/2;
490 491
491 xB = xA + std::sin(lineAngle)*electricPlateL 492 xB = xA + std::sin(lineAngle)*electricPlateLength2;
492 zB = zA + std::cos(lineAngle)*electricPlateL 493 zB = zA + std::cos(lineAngle)*electricPlateLength2;
493 494
494 xC = xB - std::cos(lineAngle)*electricPlateW 495 xC = xB - std::cos(lineAngle)*electricPlateWidth2;
495 zC = zB + std::sin(lineAngle)*electricPlateW 496 zC = zB + std::sin(lineAngle)*electricPlateWidth2;
496 497
497 xD = xC - std::sin(lineAngle)*electricPlateL 498 xD = xC - std::sin(lineAngle)*electricPlateLength2;
498 zD = zC - std::cos(lineAngle)*electricPlateL 499 zD = zC - std::cos(lineAngle)*electricPlateLength2;
499 500
500 slope1 = (xB-xA)/(zB-zA); 501 slope1 = (xB-xA)/(zB-zA);
501 cte1 = xA - slope1 * zA; 502 cte1 = xA - slope1 * zA;
502 503
503 slope2 = (xC-xB)/(zC-zB); 504 slope2 = (xC-xB)/(zC-zB);
504 cte2 = xB - slope2 * zB; 505 cte2 = xB - slope2 * zB;
505 506
506 slope3 = (xD-xC)/(zD-zC); 507 slope3 = (xD-xC)/(zD-zC);
507 cte3 = xC - slope3 * zC; 508 cte3 = xC - slope3 * zC;
508 509
509 slope4 = (xA-xD)/(zA-zD); 510 slope4 = (xA-xD)/(zA-zD);
510 cte4 = xD - slope4 * zD; 511 cte4 = xD - slope4 * zD;
511 512
512 if 513 if
513 ( 514 (
514 x <= slope1 * z + cte1 515 x <= slope1 * z + cte1
515 && x >= slope3 * z + cte3 516 && x >= slope3 * z + cte3
516 && x <= slope4 * z + cte4 517 && x <= slope4 * z + cte4
517 && x >= slope2 * z + cte2 518 && x >= slope2 * z + cte2
518 && std::abs(y)<=electricPlateSpacing2/2 519 && std::abs(y)<=electricPlateSpacing2/2
519 ) 520 )
520 521
521 { 522 {
522 Bfield[3] = 0; 523 Bfield[3] = 0;
523 Bfield[4] = electricFieldPlate2; 524 Bfield[4] = electricFieldPlate2;
524 Bfield[5] = 0; 525 Bfield[5] = 0;
525 } 526 }
526 527
527 } 528 }
528 529