| Geant4 Cross Reference |
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 *
6 // * the Geant4 Collaboration. It is provided 6 // * the Geant4 Collaboration. It is provided under the terms and *
7 // * conditions of the Geant4 Software License 7 // * conditions of the Geant4 Software License, included in the file *
8 // * LICENSE and available at http://cern.ch/ 8 // * LICENSE and available at http://cern.ch/geant4/license . These *
9 // * include a list of copyright holders. 9 // * include a list of copyright holders. *
10 // * 10 // * *
11 // * Neither the authors of this software syst 11 // * Neither the authors of this software system, nor their employing *
12 // * institutes,nor the agencies providing fin 12 // * institutes,nor the agencies providing financial support for this *
13 // * work make any representation or warran 13 // * work make any representation or warranty, express or implied, *
14 // * regarding this software system or assum 14 // * regarding this software system or assume any liability for its *
15 // * use. Please see the license in the file 15 // * use. Please see the license in the file LICENSE and URL above *
16 // * for the full disclaimer and the limitatio 16 // * for the full disclaimer and the limitation of liability. *
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 *
21 // * any work based on the software) you ag 21 // * any work based on the software) you agree to acknowledge its *
22 // * use in resulting scientific publicati 22 // * use in resulting scientific publications, and indicate your *
23 // * acceptance of all terms of the Geant4 Sof 23 // * acceptance of all terms of the Geant4 Software license. *
24 // ******************************************* 24 // ********************************************************************
25 // 25 //
26 // Please cite the following papers if you use 26 // Please cite the following papers if you use this software
27 // Nucl.Instrum.Meth.B260:20-27, 2007 27 // Nucl.Instrum.Meth.B260:20-27, 2007
28 // IEEE TNS 51, 4:1395-1401, 2004 28 // IEEE TNS 51, 4:1395-1401, 2004
29 // <<
30 // Based on purging magnet advanced example <<
31 // <<
32 29
33 #include "TabulatedField3D.hh" 30 #include "TabulatedField3D.hh"
34 #include "G4SystemOfUnits.hh" 31 #include "G4SystemOfUnits.hh"
35 #include "G4Exp.hh" 32 #include "G4Exp.hh"
36 33
37 #include "G4AutoLock.hh" <<
38 <<
39 namespace <<
40 { <<
41 G4Mutex myTabulatedField3DLock = G4MUTEX_INI <<
42 } <<
43 <<
44 //....oooOO0OOooo........oooOO0OOooo........oo 34 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
45 35
46 TabulatedField3D::TabulatedField3D(G4float gr1 36 TabulatedField3D::TabulatedField3D(G4float gr1, G4float gr2, G4float gr3, G4float gr4, G4int choiceModel)
47 { 37 {
48 38
49 G4cout << " ********************** " << G4en 39 G4cout << " ********************** " << G4endl;
50 G4cout << " **** CONFIGURATION *** " << G4en 40 G4cout << " **** CONFIGURATION *** " << G4endl;
51 G4cout << " ********************** " << G4en 41 G4cout << " ********************** " << G4endl;
52 42
53 G4cout<< G4endl; 43 G4cout<< G4endl;
54 G4cout << "=====> You have selected :" << G4 44 G4cout << "=====> You have selected :" << G4endl;
55 if (choiceModel==1) G4cout<< "-> Square quad 45 if (choiceModel==1) G4cout<< "-> Square quadrupole field"<<G4endl;
56 if (choiceModel==2) G4cout<< "-> 3D quadrupo 46 if (choiceModel==2) G4cout<< "-> 3D quadrupole field"<<G4endl;
57 if (choiceModel==3) G4cout<< "-> Enge quadru 47 if (choiceModel==3) G4cout<< "-> Enge quadrupole field"<<G4endl;
58 G4cout << " G1 (T/m) = "<< gr1 << G4endl; 48 G4cout << " G1 (T/m) = "<< gr1 << G4endl;
59 G4cout << " G2 (T/m) = "<< gr2 << G4endl; 49 G4cout << " G2 (T/m) = "<< gr2 << G4endl;
60 G4cout << " G3 (T/m) = "<< gr3 << G4endl; 50 G4cout << " G3 (T/m) = "<< gr3 << G4endl;
61 G4cout << " G4 (T/m) = "<< gr4 << G4endl; 51 G4cout << " G4 (T/m) = "<< gr4 << G4endl;
62 52
63 fGradient1 = gr1; 53 fGradient1 = gr1;
64 fGradient2 = gr2; 54 fGradient2 = gr2;
65 fGradient3 = gr3; 55 fGradient3 = gr3;
66 fGradient4 = gr4; 56 fGradient4 = gr4;
67 fModel = choiceModel; 57 fModel = choiceModel;
68 58
69 if (fModel==2) 59 if (fModel==2)
70 { 60 {
71 // <<
72 //This is a thread-local class and we have t <<
73 //file at the same time <<
74 G4AutoLock lock(&myTabulatedField3DLock); <<
75 // <<
76 <<
77 const char * filename ="OM50.grid"; 61 const char * filename ="OM50.grid";
78 62
79 double lenUnit= mm; 63 double lenUnit= mm;
80 G4cout << "\n------------------------------- 64 G4cout << "\n-----------------------------------------------------------"
81 << "\n 3D Magnetic field from OPERA so 65 << "\n 3D Magnetic field from OPERA software "
82 << "\n------------------------------------- 66 << "\n-----------------------------------------------------------";
83 67
84 G4cout << "\n ---> " "Reading the field grid << 68 G4cout << "\n ---> " "Reading the field grid from " << filename << " ... " << endl;
85 std::ifstream file( filename ); // Open the << 69 ifstream file( filename ); // Open the file for reading.
86 70
87 // Read table dimensions 71 // Read table dimensions
88 file >> fNx >> fNy >> fNz; // Note dodgy ord 72 file >> fNx >> fNy >> fNz; // Note dodgy order
89 73
90 G4cout << " [ Number of values x,y,z: " 74 G4cout << " [ Number of values x,y,z: "
91 << fNx << " " << fNy << " " << fNz << " ] " 75 << fNx << " " << fNy << " " << fNz << " ] "
92 << G4endl; << 76 << endl;
93 77
94 // Set up storage space for table 78 // Set up storage space for table
95 fXField.resize( fNx ); 79 fXField.resize( fNx );
96 fYField.resize( fNx ); 80 fYField.resize( fNx );
97 fZField.resize( fNx ); 81 fZField.resize( fNx );
98 int ix, iy, iz; 82 int ix, iy, iz;
99 for (ix=0; ix<fNx; ix++) << 83 for (ix=0; ix<fNx; ix++) {
100 { <<
101 fXField[ix].resize(fNy); 84 fXField[ix].resize(fNy);
102 fYField[ix].resize(fNy); 85 fYField[ix].resize(fNy);
103 fZField[ix].resize(fNy); 86 fZField[ix].resize(fNy);
104 for (iy=0; iy<fNy; iy++) << 87 for (iy=0; iy<fNy; iy++) {
105 { <<
106 fXField[ix][iy].resize(fNz); 88 fXField[ix][iy].resize(fNz);
107 fYField[ix][iy].resize(fNz); 89 fYField[ix][iy].resize(fNz);
108 fZField[ix][iy].resize(fNz); 90 fZField[ix][iy].resize(fNz);
109 } 91 }
110 } 92 }
111 93
112 // Read in the data 94 // Read in the data
113 double xval,yval,zval,bx,by,bz; 95 double xval,yval,zval,bx,by,bz;
114 double permeability; // Not used in this exa 96 double permeability; // Not used in this example.
115 for (ix=0; ix<fNx; ix++) << 97 for (ix=0; ix<fNx; ix++) {
116 { << 98 for (iy=0; iy<fNy; iy++) {
117 for (iy=0; iy<fNy; iy++) << 99 for (iz=0; iz<fNz; iz++) {
118 { <<
119 for (iz=0; iz<fNz; iz++) <<
120 { <<
121 file >> xval >> yval >> zval >> bx >> 100 file >> xval >> yval >> zval >> bx >> by >> bz >> permeability;
122 if ( ix==0 && iy==0 && iz==0 ) << 101 if ( ix==0 && iy==0 && iz==0 ) {
123 { <<
124 fMinix = xval * lenUnit; 102 fMinix = xval * lenUnit;
125 fMiniy = yval * lenUnit; 103 fMiniy = yval * lenUnit;
126 fMiniz = zval * lenUnit; 104 fMiniz = zval * lenUnit;
127 } 105 }
128 fXField[ix][iy][iz] = bx ; 106 fXField[ix][iy][iz] = bx ;
129 fYField[ix][iy][iz] = by ; 107 fYField[ix][iy][iz] = by ;
130 fZField[ix][iy][iz] = bz ; 108 fZField[ix][iy][iz] = bz ;
131 } 109 }
132 } 110 }
133 } 111 }
134 file.close(); 112 file.close();
135 113
136 // <<
137 lock.unlock(); <<
138 // <<
139 <<
140 fMaxix = xval * lenUnit; 114 fMaxix = xval * lenUnit;
141 fMaxiy = yval * lenUnit; 115 fMaxiy = yval * lenUnit;
142 fMaxiz = zval * lenUnit; 116 fMaxiz = zval * lenUnit;
143 117
144 G4cout << "\n ---> ... done reading " << G4e << 118 G4cout << "\n ---> ... done reading " << endl;
145 <<
146 // G4cout << " Read values of field from fil <<
147 119
>> 120 // G4cout << " Read values of field from file " << filename << endl;
148 G4cout << " ---> assumed the order: x, y, z 121 G4cout << " ---> assumed the order: x, y, z, Bx, By, Bz "
149 << "\n ---> Min values x,y,z: " 122 << "\n ---> Min values x,y,z: "
150 << fMinix/cm << " " << fMiniy/cm << " " << 123 << fMinix/cm << " " << fMiniy/cm << " " << fMiniz/cm << " cm "
151 << "\n ---> Max values x,y,z: " 124 << "\n ---> Max values x,y,z: "
152 << fMaxix/cm << " " << fMaxiy/cm << " " << << 125 << fMaxix/cm << " " << fMaxiy/cm << " " << fMaxiz/cm << " cm " << endl;
153 126
154 fDx = fMaxix - fMinix; 127 fDx = fMaxix - fMinix;
155 fDy = fMaxiy - fMiniy; 128 fDy = fMaxiy - fMiniy;
156 fDz = fMaxiz - fMiniz; 129 fDz = fMaxiz - fMiniz;
157 <<
158 G4cout << "\n ---> Dif values x,y,z (range): 130 G4cout << "\n ---> Dif values x,y,z (range): "
159 << fDx/cm << " " << fDy/cm << " " << fDz/cm 131 << fDx/cm << " " << fDy/cm << " " << fDz/cm << " cm in z "
160 << "\n------------------------------------- << 132 << "\n-----------------------------------------------------------" << endl;
161 133
162 134
163 // Table normalization 135 // Table normalization
164 <<
165 for (ix=0; ix<fNx; ix++) 136 for (ix=0; ix<fNx; ix++)
166 { 137 {
167 for (iy=0; iy<fNy; iy++) 138 for (iy=0; iy<fNy; iy++)
168 { 139 {
169 for (iz=0; iz<fNz; iz++) 140 for (iz=0; iz<fNz; iz++)
170 { 141 {
171 142
172 fXField[ix][iy][iz] = (fXField[ix][iy][iz]/1 143 fXField[ix][iy][iz] = (fXField[ix][iy][iz]/197.736);
173 fYField[ix][iy][iz] = (fYField[ix][iy] 144 fYField[ix][iy][iz] = (fYField[ix][iy][iz]/197.736);
174 fZField[ix][iy][iz] = (fZField[ix][iy] 145 fZField[ix][iy][iz] = (fZField[ix][iy][iz]/197.736);
175 146
176 } << 147 }
177 } 148 }
178 } 149 }
179 150
180 } // fModel==2 151 } // fModel==2
181 152
182 } 153 }
183 154
184 //....oooOO0OOooo........oooOO0OOooo........oo 155 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
185 156
186 157
187 void TabulatedField3D::GetFieldValue(const dou 158 void TabulatedField3D::GetFieldValue(const double point[4],
188 double *Bfield ) const 159 double *Bfield ) const
189 { 160 {
190 //G4cout << fGradient1 << G4endl; <<
191 //G4cout << fGradient2 << G4endl; <<
192 //G4cout << fGradient3 << G4endl; <<
193 //G4cout << fGradient4 << G4endl; <<
194 //G4cout << "---------" << G4endl; <<
195 161
196 G4double coef, G0; 162 G4double coef, G0;
197 G0 = 0; 163 G0 = 0;
198 164
199 coef=1; // for protons 165 coef=1; // for protons
200 //coef=2; // for alphas 166 //coef=2; // for alphas
201 167
202 //******************************************** 168 //******************************************************************
203 169
204 // MAP 170 // MAP
205 <<
206 if (fModel==2) 171 if (fModel==2)
207 { 172 {
208 Bfield[0] = 0.0; 173 Bfield[0] = 0.0;
209 Bfield[1] = 0.0; 174 Bfield[1] = 0.0;
210 Bfield[2] = 0.0; 175 Bfield[2] = 0.0;
211 Bfield[3] = 0.0; 176 Bfield[3] = 0.0;
212 Bfield[4] = 0.0; 177 Bfield[4] = 0.0;
213 Bfield[5] = 0.0; 178 Bfield[5] = 0.0;
214 179
215 double x = point[0]; 180 double x = point[0];
216 double y = point[1]; 181 double y = point[1];
217 double z = point[2]; 182 double z = point[2];
218 183
219 G4int quad; 184 G4int quad;
220 G4double gradient[5]; 185 G4double gradient[5];
221 186
222 gradient[0]=fGradient1*(tesla/m)/coef; 187 gradient[0]=fGradient1*(tesla/m)/coef;
223 gradient[1]=fGradient2*(tesla/m)/coef; 188 gradient[1]=fGradient2*(tesla/m)/coef;
224 gradient[2]=fGradient3*(tesla/m)/coef; 189 gradient[2]=fGradient3*(tesla/m)/coef;
225 gradient[3]=fGradient4*(tesla/m)/coef; 190 gradient[3]=fGradient4*(tesla/m)/coef;
226 gradient[4]=-fGradient3*(tesla/m)/coef; 191 gradient[4]=-fGradient3*(tesla/m)/coef;
227 192
228 for (quad=0; quad<=4; quad++) 193 for (quad=0; quad<=4; quad++)
229 { 194 {
230 if ((quad+1)==1) {z = point[2] + 3720 * mm;} 195 if ((quad+1)==1) {z = point[2] + 3720 * mm;}
231 if ((quad+1)==2) {z = point[2] + 3580 * mm;} 196 if ((quad+1)==2) {z = point[2] + 3580 * mm;}
232 if ((quad+1)==3) {z = point[2] + 330 * mm;} 197 if ((quad+1)==3) {z = point[2] + 330 * mm;}
233 if ((quad+1)==4) {z = point[2] + 190 * mm;} 198 if ((quad+1)==4) {z = point[2] + 190 * mm;}
234 if ((quad+1)==5) {z = point[2] + 50 * mm;} 199 if ((quad+1)==5) {z = point[2] + 50 * mm;}
235 200
236 // Check that the point is within the define 201 // Check that the point is within the defined region
237 202
238 if 203 if
239 ( 204 (
240 x>=fMinix && x<=fMaxix && 205 x>=fMinix && x<=fMaxix &&
241 y>=fMiniy && y<=fMaxiy && 206 y>=fMiniy && y<=fMaxiy &&
242 z>=fMiniz && z<=fMaxiz 207 z>=fMiniz && z<=fMaxiz
243 ) 208 )
244 { 209 {
245 // Position of given point within region, 210 // Position of given point within region, normalized to the range
246 // [0,1] 211 // [0,1]
247 double xfraction = (x - fMinix) / fDx; 212 double xfraction = (x - fMinix) / fDx;
248 double yfraction = (y - fMiniy) / fDy; 213 double yfraction = (y - fMiniy) / fDy;
249 double zfraction = (z - fMiniz) / fDz; 214 double zfraction = (z - fMiniz) / fDz;
250 215
251 // Need addresses of these to pass to modf 216 // Need addresses of these to pass to modf below.
252 // modf uses its second argument as an OUT 217 // modf uses its second argument as an OUTPUT argument.
253 double xdindex, ydindex, zdindex; 218 double xdindex, ydindex, zdindex;
254 219
255 // Position of the point within the cuboid 220 // Position of the point within the cuboid defined by the
256 // nearest surrounding tabulated points 221 // nearest surrounding tabulated points
257 double xlocal = ( std::modf(xfraction*(fNx 222 double xlocal = ( std::modf(xfraction*(fNx-1), &xdindex));
258 double ylocal = ( std::modf(yfraction*(fNy 223 double ylocal = ( std::modf(yfraction*(fNy-1), &ydindex));
259 double zlocal = ( std::modf(zfraction*(fNz 224 double zlocal = ( std::modf(zfraction*(fNz-1), &zdindex));
260 225
261 // The indices of the nearest tabulated po 226 // The indices of the nearest tabulated point whose coordinates
262 // are all less than those of the given po 227 // are all less than those of the given point
263 << 228 int xindex = static_cast<int>(xdindex);
264 //int xindex = static_cast<int>(xdindex); << 229 int yindex = static_cast<int>(ydindex);
265 //int yindex = static_cast<int>(ydindex); << 230 int zindex = static_cast<int>(zdindex);
266 //int zindex = static_cast<int>(zdindex); <<
267 <<
268 // SI 15/12/2016: modified according to bu <<
269 int xindex = static_cast<int>(std::floor(x <<
270 int yindex = static_cast<int>(std::floor(y <<
271 int zindex = static_cast<int>(std::floor(z <<
272 231
273 // Interpolated field 232 // Interpolated field
274 Bfield[0] = 233 Bfield[0] =
275 (fXField[xindex ][yindex ][zindex ] * 234 (fXField[xindex ][yindex ][zindex ] * (1-xlocal) * (1-ylocal) * (1-zlocal) +
276 fXField[xindex ][yindex ][zindex+1] * 235 fXField[xindex ][yindex ][zindex+1] * (1-xlocal) * (1-ylocal) * zlocal +
277 fXField[xindex ][yindex+1][zindex ] * 236 fXField[xindex ][yindex+1][zindex ] * (1-xlocal) * ylocal * (1-zlocal) +
278 fXField[xindex ][yindex+1][zindex+1] * 237 fXField[xindex ][yindex+1][zindex+1] * (1-xlocal) * ylocal * zlocal +
279 fXField[xindex+1][yindex ][zindex ] * 238 fXField[xindex+1][yindex ][zindex ] * xlocal * (1-ylocal) * (1-zlocal) +
280 fXField[xindex+1][yindex ][zindex+1] * 239 fXField[xindex+1][yindex ][zindex+1] * xlocal * (1-ylocal) * zlocal +
281 fXField[xindex+1][yindex+1][zindex ] * 240 fXField[xindex+1][yindex+1][zindex ] * xlocal * ylocal * (1-zlocal) +
282 fXField[xindex+1][yindex+1][zindex+1] * 241 fXField[xindex+1][yindex+1][zindex+1] * xlocal * ylocal * zlocal)*gradient[quad]
283 + Bfield[0]; 242 + Bfield[0];
284 243
285 Bfield[1] = 244 Bfield[1] =
286 (fYField[xindex ][yindex ][zindex ] * 245 (fYField[xindex ][yindex ][zindex ] * (1-xlocal) * (1-ylocal) * (1-zlocal) +
287 fYField[xindex ][yindex ][zindex+1] * 246 fYField[xindex ][yindex ][zindex+1] * (1-xlocal) * (1-ylocal) * zlocal +
288 fYField[xindex ][yindex+1][zindex ] * 247 fYField[xindex ][yindex+1][zindex ] * (1-xlocal) * ylocal * (1-zlocal) +
289 fYField[xindex ][yindex+1][zindex+1] * 248 fYField[xindex ][yindex+1][zindex+1] * (1-xlocal) * ylocal * zlocal +
290 fYField[xindex+1][yindex ][zindex ] * 249 fYField[xindex+1][yindex ][zindex ] * xlocal * (1-ylocal) * (1-zlocal) +
291 fYField[xindex+1][yindex ][zindex+1] * 250 fYField[xindex+1][yindex ][zindex+1] * xlocal * (1-ylocal) * zlocal +
292 fYField[xindex+1][yindex+1][zindex ] * 251 fYField[xindex+1][yindex+1][zindex ] * xlocal * ylocal * (1-zlocal) +
293 fYField[xindex+1][yindex+1][zindex+1] * 252 fYField[xindex+1][yindex+1][zindex+1] * xlocal * ylocal * zlocal)*gradient[quad]
294 + Bfield[1]; 253 + Bfield[1];
295 254
296 Bfield[2] = 255 Bfield[2] =
297 (fZField[xindex ][yindex ][zindex ] * 256 (fZField[xindex ][yindex ][zindex ] * (1-xlocal) * (1-ylocal) * (1-zlocal) +
298 fZField[xindex ][yindex ][zindex+1] * 257 fZField[xindex ][yindex ][zindex+1] * (1-xlocal) * (1-ylocal) * zlocal +
299 fZField[xindex ][yindex+1][zindex ] * 258 fZField[xindex ][yindex+1][zindex ] * (1-xlocal) * ylocal * (1-zlocal) +
300 fZField[xindex ][yindex+1][zindex+1] * 259 fZField[xindex ][yindex+1][zindex+1] * (1-xlocal) * ylocal * zlocal +
301 fZField[xindex+1][yindex ][zindex ] * 260 fZField[xindex+1][yindex ][zindex ] * xlocal * (1-ylocal) * (1-zlocal) +
302 fZField[xindex+1][yindex ][zindex+1] * 261 fZField[xindex+1][yindex ][zindex+1] * xlocal * (1-ylocal) * zlocal +
303 fZField[xindex+1][yindex+1][zindex ] * 262 fZField[xindex+1][yindex+1][zindex ] * xlocal * ylocal * (1-zlocal) +
304 fZField[xindex+1][yindex+1][zindex+1] * 263 fZField[xindex+1][yindex+1][zindex+1] * xlocal * ylocal * zlocal)*gradient[quad]
305 + Bfield[2]; 264 + Bfield[2];
306 265
307 } 266 }
308 267
309 } // loop on quads 268 } // loop on quads
310 269
311 } //end MAP 270 } //end MAP
312 271
313 272
314 //******************************************** 273 //******************************************************************
315 // SQUARE 274 // SQUARE
316 275
317 if (fModel==1) 276 if (fModel==1)
318 { 277 {
319 Bfield[0] = 0.0; 278 Bfield[0] = 0.0;
320 Bfield[1] = 0.0; 279 Bfield[1] = 0.0;
321 Bfield[2] = 0.0; 280 Bfield[2] = 0.0;
322 Bfield[3] = 0.0; 281 Bfield[3] = 0.0;
323 Bfield[4] = 0.0; 282 Bfield[4] = 0.0;
324 Bfield[5] = 0.0; 283 Bfield[5] = 0.0;
325 284
326 // Field components 285 // Field components
327 G4double Bx = 0; 286 G4double Bx = 0;
328 G4double By = 0; 287 G4double By = 0;
329 G4double Bz = 0; 288 G4double Bz = 0;
330 289
331 G4double x = point[0]; 290 G4double x = point[0];
332 G4double y = point[1]; 291 G4double y = point[1];
333 G4double z = point[2]; 292 G4double z = point[2];
334 293
335 if (z>=-3770*mm && z<=-3670*mm) G0 = (fGrad 294 if (z>=-3770*mm && z<=-3670*mm) G0 = (fGradient1/coef)* tesla/m;
336 if (z>=-3630*mm && z<=-3530*mm) G0 = (fGrad 295 if (z>=-3630*mm && z<=-3530*mm) G0 = (fGradient2/coef)* tesla/m;
337 296
338 if (z>=-380*mm && z<=-280*mm) G0 = (fGrad 297 if (z>=-380*mm && z<=-280*mm) G0 = (fGradient3/coef)* tesla/m;
339 if (z>=-240*mm && z<=-140*mm) G0 = (fGrad 298 if (z>=-240*mm && z<=-140*mm) G0 = (fGradient4/coef)* tesla/m;
340 if (z>=-100*mm && z<=0*mm) G0 = (-fGra 299 if (z>=-100*mm && z<=0*mm) G0 = (-fGradient3/coef)* tesla/m;
341 300
342 Bx = y*G0; 301 Bx = y*G0;
343 By = x*G0; 302 By = x*G0;
344 Bz = 0; 303 Bz = 0;
345 304
346 Bfield[0] = Bx; 305 Bfield[0] = Bx;
347 Bfield[1] = By; 306 Bfield[1] = By;
348 Bfield[2] = Bz; 307 Bfield[2] = Bz;
349 308
350 } 309 }
351 310
352 // end SQUARE 311 // end SQUARE
353 312
354 //******************************************** 313 //******************************************************************
355 // ENGE 314 // ENGE
356 315
357 if (fModel==3) 316 if (fModel==3)
358 { 317 {
359 318
360 // X POSITION OF FIRST QUADRUPOLE 319 // X POSITION OF FIRST QUADRUPOLE
361 // G4double lineX = 0*mm; 320 // G4double lineX = 0*mm;
362 321
363 // Z POSITION OF FIRST QUADRUPOLE 322 // Z POSITION OF FIRST QUADRUPOLE
364 G4double lineZ = -3720*mm; 323 G4double lineZ = -3720*mm;
365 324
366 // QUADRUPOLE HALF LENGTH 325 // QUADRUPOLE HALF LENGTH
367 // G4double quadHalfLength = 50*mm; 326 // G4double quadHalfLength = 50*mm;
368 327
369 // QUADRUPOLE CENTER COORDINATES 328 // QUADRUPOLE CENTER COORDINATES
370 G4double zoprime; 329 G4double zoprime;
371 330
372 G4double Grad1, Grad2, Grad3, Grad4, Grad5; 331 G4double Grad1, Grad2, Grad3, Grad4, Grad5;
373 Grad1=fGradient1; 332 Grad1=fGradient1;
374 Grad2=fGradient2; 333 Grad2=fGradient2;
375 Grad3=fGradient3; 334 Grad3=fGradient3;
376 Grad4=fGradient4; 335 Grad4=fGradient4;
377 Grad5=-Grad3; 336 Grad5=-Grad3;
378 337
379 Bfield[0] = 0.0; 338 Bfield[0] = 0.0;
380 Bfield[1] = 0.0; 339 Bfield[1] = 0.0;
381 Bfield[2] = 0.0; 340 Bfield[2] = 0.0;
382 Bfield[3] = 0.0; 341 Bfield[3] = 0.0;
383 Bfield[4] = 0.0; 342 Bfield[4] = 0.0;
384 Bfield[5] = 0.0; 343 Bfield[5] = 0.0;
385 344
386 double x = point[0]; 345 double x = point[0];
387 double y = point[1]; 346 double y = point[1];
388 double z = point[2]; 347 double z = point[2];
389 348
390 if ( (z>=-3900*mm && z<-3470*mm) || (z>=-49 349 if ( (z>=-3900*mm && z<-3470*mm) || (z>=-490*mm && z<100*mm) )
391 { 350 {
392 G4double Bx=0; 351 G4double Bx=0;
393 G4double By=0; 352 G4double By=0;
394 G4double Bz=0; 353 G4double Bz=0;
395 354
396 // FRINGING FILED CONSTANTS 355 // FRINGING FILED CONSTANTS
397 G4double c0[5], c1[5], c2[5], z1[5], z2[5], 356 G4double c0[5], c1[5], c2[5], z1[5], z2[5], a0[5], gradient[5];
398 357
399 // DOUBLET*************** 358 // DOUBLET***************
400 359
401 // QUADRUPOLE 1 360 // QUADRUPOLE 1
402 c0[0] = -10.; // Ci are constants in Pn( 361 c0[0] = -10.; // Ci are constants in Pn(z)=C0+C1*s+C2*s^2
403 c1[0] = 3.08874; 362 c1[0] = 3.08874;
404 c2[0] = -0.00618654; 363 c2[0] = -0.00618654;
405 z1[0] = 28.6834*mm; // Fringing field lowe 364 z1[0] = 28.6834*mm; // Fringing field lower limit
406 z2[0] = z1[0]+50*mm; // Fringing field up 365 z2[0] = z1[0]+50*mm; // Fringing field upper limit
407 a0[0] = 7.5*mm; // Bore Radius 366 a0[0] = 7.5*mm; // Bore Radius
408 gradient[0] =Grad1*(tesla/m)/coef; 367 gradient[0] =Grad1*(tesla/m)/coef;
409 368
410 // QUADRUPOLE 2 369 // QUADRUPOLE 2
411 c0[1] = -10.; // Ci are constants in Pn( 370 c0[1] = -10.; // Ci are constants in Pn(z)=C0+C1*s+C2*s^2
412 c1[1] = 3.08874; 371 c1[1] = 3.08874;
413 c2[1] = -0.00618654; 372 c2[1] = -0.00618654;
414 z1[1] = 28.6834*mm; // Fringing field lo 373 z1[1] = 28.6834*mm; // Fringing field lower limit
415 z2[1] = z1[1]+50*mm; // Fringing field up 374 z2[1] = z1[1]+50*mm; // Fringing field upper limit
416 a0[1] = 7.5*mm; // Bore Radius 375 a0[1] = 7.5*mm; // Bore Radius
417 gradient[1] =Grad2*(tesla/m)/coef; 376 gradient[1] =Grad2*(tesla/m)/coef;
418 377
419 // TRIPLET********** 378 // TRIPLET**********
420 379
421 // QUADRUPOLE 3 380 // QUADRUPOLE 3
422 c0[2] = -10.; // Ci are constants in Pn( 381 c0[2] = -10.; // Ci are constants in Pn(z)=C0+C1*s+C2*s^2
423 c1[2] = 3.08874; 382 c1[2] = 3.08874;
424 c2[2] = -0.00618654; 383 c2[2] = -0.00618654;
425 z1[2] = 28.6834*mm; // Fringing field lowe 384 z1[2] = 28.6834*mm; // Fringing field lower limit
426 z2[2] = z1[2]+50*mm; // Fringing field up 385 z2[2] = z1[2]+50*mm; // Fringing field upper limit
427 a0[2] = 7.5*mm; // Bore Radius 386 a0[2] = 7.5*mm; // Bore Radius
428 gradient[2] = Grad3*(tesla/m)/coef; 387 gradient[2] = Grad3*(tesla/m)/coef;
429 388
430 // QUADRUPOLE 4 389 // QUADRUPOLE 4
431 c0[3] = -10.; // Ci are constants in Pn( 390 c0[3] = -10.; // Ci are constants in Pn(z)=C0+C1*s+C2*s^2
432 c1[3] = 3.08874; 391 c1[3] = 3.08874;
433 c2[3] = -0.00618654; 392 c2[3] = -0.00618654;
434 z1[3] = 28.6834*mm; // Fringing field lowe 393 z1[3] = 28.6834*mm; // Fringing field lower limit
435 z2[3] = z1[3]+50*mm; // Fringing field up 394 z2[3] = z1[3]+50*mm; // Fringing field upper limit
436 a0[3] = 7.5*mm; // Bore Radius 395 a0[3] = 7.5*mm; // Bore Radius
437 gradient[3] = Grad4*(tesla/m)/coef; 396 gradient[3] = Grad4*(tesla/m)/coef;
438 397
439 // QUADRUPOLE 5 398 // QUADRUPOLE 5
440 c0[4] = -10.; // Ci are constants in Pn( 399 c0[4] = -10.; // Ci are constants in Pn(z)=C0+C1*s+C2*s^2
441 c1[4] = 3.08874; 400 c1[4] = 3.08874;
442 c2[4] = -0.00618654; 401 c2[4] = -0.00618654;
443 z1[4] = 28.6834*mm; // Fringing field lowe 402 z1[4] = 28.6834*mm; // Fringing field lower limit
444 z2[4] = z1[4]+50*mm; // Fringing field up 403 z2[4] = z1[4]+50*mm; // Fringing field upper limit
445 a0[4] = 7.5*mm; // Bore Radius 404 a0[4] = 7.5*mm; // Bore Radius
446 gradient[4] = Grad5*(tesla/m)/coef; 405 gradient[4] = Grad5*(tesla/m)/coef;
447 406
448 // FIELD CREATED BY A QUADRUPOLE IN ITS LOCA 407 // FIELD CREATED BY A QUADRUPOLE IN ITS LOCAL FRAME
449 G4double Bx_local,By_local,Bz_local; 408 G4double Bx_local,By_local,Bz_local;
450 Bx_local = 0; By_local = 0; Bz_local = 0; 409 Bx_local = 0; By_local = 0; Bz_local = 0;
451 410
452 // QUADRUPOLE FRAME 411 // QUADRUPOLE FRAME
453 G4double x_local,y_local,z_local; 412 G4double x_local,y_local,z_local;
454 x_local= 0; y_local=0; z_local=0; 413 x_local= 0; y_local=0; z_local=0;
455 414
456 G4double myVars = 0; // For Enge fo 415 G4double myVars = 0; // For Enge formula
457 G4double G1, G2, G3; // For Enge fo 416 G4double G1, G2, G3; // For Enge formula
458 G4double K1, K2, K3; // For Enge formula 417 G4double K1, K2, K3; // For Enge formula
459 G4double P0, P1, P2, cte; // For Enge formul 418 G4double P0, P1, P2, cte; // For Enge formula
460 419
461 K1=0; 420 K1=0;
462 K2=0; 421 K2=0;
463 K3=0; 422 K3=0;
464 423
465 P0=0; 424 P0=0;
466 P1=0; 425 P1=0;
467 P2=0; 426 P2=0;
468 427
469 G0=0; 428 G0=0;
470 G1=0; 429 G1=0;
471 G2=0; 430 G2=0;
472 G3=0; 431 G3=0;
473 432
474 cte=0; 433 cte=0;
475 434
476 for (G4int i=0;i<5; i++) // LOOP ON MAGNETS 435 for (G4int i=0;i<5; i++) // LOOP ON MAGNETS
477 { 436 {
478 437
479 if (i<2) // (if Doublet) << 438 if (i<2) // (if Doublet)
480 { << 439 {
481 zoprime = lineZ + i*140*mm; // centre of 440 zoprime = lineZ + i*140*mm; // centre of magnet nbr i
482 x_local = x; 441 x_local = x;
483 y_local = y; 442 y_local = y;
484 z_local = (z - zoprime); 443 z_local = (z - zoprime);
485 } << 444 }
486 else // else the current magnet is in th << 445 else // else the current magnet is in the triplet
487 { << 446 {
488 zoprime = lineZ + i*140*mm +(3150-40)*mm; 447 zoprime = lineZ + i*140*mm +(3150-40)*mm;
489 448
490 x_local = x; 449 x_local = x;
491 y_local = y; 450 y_local = y;
492 z_local = (z - zoprime); 451 z_local = (z - zoprime);
493 452
494 } << 453 }
495 454
496 if ( z_local < -z2[i] || z_local > z2[i]) 455 if ( z_local < -z2[i] || z_local > z2[i]) // Outside the fringing field
497 { 456 {
498 G0=0; 457 G0=0;
499 G1=0; 458 G1=0;
500 G2=0; 459 G2=0;
501 G3=0; 460 G3=0;
502 } 461 }
503 462
504 if ( (z_local>=-z1[i]) && (z_local<=z1[i]) 463 if ( (z_local>=-z1[i]) && (z_local<=z1[i]) ) // inside the quadrupole but outside the fringefield
505 { 464 {
506 G0=gradient[i]; 465 G0=gradient[i];
507 G1=0; 466 G1=0;
508 G2=0; 467 G2=0;
509 G3=0; 468 G3=0;
510 } 469 }
511 470
512 if ( ((z_local>=-z2[i]) && (z_local<-z1[i]) 471 if ( ((z_local>=-z2[i]) && (z_local<-z1[i])) || ((z_local>z1[i]) && (z_local<=z2[i])) ) // inside the fringefield
513 { 472 {
514 473
515 myVars = ( z_local - z1[i]) / a0[i]; 474 myVars = ( z_local - z1[i]) / a0[i]; // se (8) p1397 TNS 51
516 if (z_local<-z1[i]) myVars = ( - z_ 475 if (z_local<-z1[i]) myVars = ( - z_local - z1[i]) / a0[i]; // see (9) p1397 TNS 51
517 476
518 477
519 P0 = c0[i]+c1[i]*myVars+c2[i]*myVars*myVar 478 P0 = c0[i]+c1[i]*myVars+c2[i]*myVars*myVars;
520 479
521 P1 = c1[i]/a0[i]+2*c2[i]*(z_local-z1[i])/a 480 P1 = c1[i]/a0[i]+2*c2[i]*(z_local-z1[i])/a0[i]/a0[i]; // dP/fDz
522 if (z_local<-z1[i]) P1 = -c1[i]/a0[i]+2*c 481 if (z_local<-z1[i]) P1 = -c1[i]/a0[i]+2*c2[i]*(z_local+z1[i])/a0[i]/a0[i];
523 482
524 P2 = 2*c2[i]/a0[i]/a0[i]; // d2P/fDz2 483 P2 = 2*c2[i]/a0[i]/a0[i]; // d2P/fDz2
525 484
526 cte = 1 + G4Exp(c0[i]); // (1+e^c0) 485 cte = 1 + G4Exp(c0[i]); // (1+e^c0)
527 486
528 K1 = -cte*P1*G4Exp(P0)/( (1+G4Exp(P0))*(1+ 487 K1 = -cte*P1*G4Exp(P0)/( (1+G4Exp(P0))*(1+G4Exp(P0)) ); // see (11) p1397 TNS 51
529 488
530 K2 = -cte*G4Exp(P0)*( // see (12) 489 K2 = -cte*G4Exp(P0)*( // see (12) p1397 TNS 51
531 P2/( (1+G4Exp(P0))*(1+G4Exp(P0)) ) 490 P2/( (1+G4Exp(P0))*(1+G4Exp(P0)) )
532 +2*P1*K1/(1+G4Exp(P0))/cte 491 +2*P1*K1/(1+G4Exp(P0))/cte
533 +P1*P1/(1+G4Exp(P0))/(1+G4Exp(P0)) 492 +P1*P1/(1+G4Exp(P0))/(1+G4Exp(P0))
534 ); 493 );
535 494
536 K3 = -cte*G4Exp(P0)*( // see (13) p1 495 K3 = -cte*G4Exp(P0)*( // see (13) p1397 TNS 51
537 (3*P2*P1+P1*P1*P1)/(1+G4Exp(P0))/(1+G4Exp 496 (3*P2*P1+P1*P1*P1)/(1+G4Exp(P0))/(1+G4Exp(P0))
538 +4*K1*(P1*P1+P2)/(1+G4Exp(P0))/cte 497 +4*K1*(P1*P1+P2)/(1+G4Exp(P0))/cte
539 +2*P1*(K1*K1/cte/cte+K2/(1+G4Exp(P0))/cte 498 +2*P1*(K1*K1/cte/cte+K2/(1+G4Exp(P0))/cte)
540 ); 499 );
541 500
542 G0 = gradient[i]*cte/(1+G4Exp(P0)); // 501 G0 = gradient[i]*cte/(1+G4Exp(P0)); // G = G0*K(z) see (7) p1397 TNS 51
543 G1 = gradient[i]*K1; // dG/fDz 502 G1 = gradient[i]*K1; // dG/fDz
544 G2 = gradient[i]*K2; // d2G/fDz2 503 G2 = gradient[i]*K2; // d2G/fDz2
545 G3 = gradient[i]*K3; // d3G/fDz3 504 G3 = gradient[i]*K3; // d3G/fDz3
546 505
547 } 506 }
548 507
549 Bx_local = y_local*(G0-(1./12)*(3*x_local*x 508 Bx_local = y_local*(G0-(1./12)*(3*x_local*x_local+y_local*y_local)*G2); // see (4) p1396 TNS 51
550 By_local = x_local*(G0-(1./12)*(3*y_local*y 509 By_local = x_local*(G0-(1./12)*(3*y_local*y_local+x_local*x_local)*G2); // see (5) p1396 TNS 51
551 Bz_local = x_local*y_local*(G1-(1./12)*(x_l 510 Bz_local = x_local*y_local*(G1-(1./12)*(x_local*x_local+y_local*y_local)*G3); // see (6) p1396 TNS 51
552 511
553 // TOTAL MAGNETIC FIELD 512 // TOTAL MAGNETIC FIELD
554 513
555 Bx = Bx + Bx_local ; 514 Bx = Bx + Bx_local ;
556 By = By + By_local ; 515 By = By + By_local ;
557 Bz = Bz + Bz_local ; 516 Bz = Bz + Bz_local ;
558 517
559 518
560 } // LOOP ON QUADRUPOLES 519 } // LOOP ON QUADRUPOLES
561 520
562 Bfield[0] = Bx; 521 Bfield[0] = Bx;
563 Bfield[1] = By; 522 Bfield[1] = By;
564 Bfield[2] = Bz; 523 Bfield[2] = Bz;
565 } 524 }
566 525
567 526
568 } // end ENGE 527 } // end ENGE
569 528
570 } 529 }
571 530