Individual QE for each module
[u/mrichter/AliRoot.git] / RICH / Opticals.h
CommitLineData
d48cca74 1#ifdef __CINT__
2void Opticals()
3{
4 gROOT->Reset();
5#endif
6 int i;
7 const Int_t kNbins=26;
8 Float_t aPckov[kNbins];
9 for(i=0;i<kNbins;i++){ //Photons energy intervals
10 aPckov[i]=(Float_t(i)*0.1+5.5)*1e-9;
11 }
12
13 Float_t aIndexFreon[kNbins];
14 Float_t aIndexQuartz[kNbins];
15 Float_t aIndexOpaqueQuartz[kNbins];
16 Float_t aIndexCH4[kNbins];
17 Float_t aIndexGrid[kNbins];
18
19 Float_t e1= 10.666;Float_t e2= 18.125; Float_t f1= 46.411; Float_t f2= 228.71;
20 for (i=0;i<kNbins;i++){
21 aIndexFreon[i] = aPckov[i] * .0172 * 1e9 + 1.177;
22 Float_t ene=aPckov[i]*1e9;
23 Float_t a=f1/(e1*e1 - ene*ene);
24 Float_t b=f2/(e2*e2 - ene*ene);
25 aIndexQuartz[i] = TMath::Sqrt(1. + a + b );
26 aIndexOpaqueQuartz[i] =1;
27 aIndexCH4[i] =1.000444;
28 aIndexGrid[i] =1;
29 }
30
31 Float_t aAbsFreon[kNbins]={179.0987, 179.0987, 179.0987, 179.0987, 179.0987,
32 179.0987, 179.0987, 179.0987, 179.0987, 142.9206,
33 56.64957, 25.58622, 13.95293, 12.03905, 10.42953,
34 8.804196, 7.069031, 4.461292, 2.028366, 1.293013,
35 0.577267, 0.40746, 0.334964, 0.0, 0.0,
36 0};
37
38
39 Float_t aAbsQuartz[kNbins]={105.8, 65.52, 48.58, 42.85, 35.79,
40 31.262, 28.598, 27.527, 25.007, 22.815,
41 21.004, 19.266, 17.525, 15.878, 14.177,
42 11.719, 9.282, 6.62, 4.0925, 2.601,
43 1.149, 0.667, 0.3627, 0.192, 0.1497,
44 0.10857};
45
46 Float_t aAbsOpaqueQuartz[kNbins];
47 Float_t aAbsCH4[kNbins];
48 Float_t aAbsGrid[kNbins];
49 Float_t aAbsCsI[kNbins];
50 for (i=0;i<kNbins;i++){
51 aAbsCH4[i] =AbsoCH4(aPckov[i]*1e9);
52 aAbsOpaqueQuartz[i]=1e-5;
53 aAbsCsI[i] =1e-4;
54 aAbsGrid[i] =1e-4;
55 }
56
303f57b3 57 Float_t aQeCsI1[kNbins] = {0.000199999995, 0.000600000028, 0.000699999975, 0.00499999989, 0.00749999983,
58 0.010125, 0.0242999997, 0.0405000001, 0.0688500032, 0.105299994,
59 0.121500008, 0.141749993, 0.157949999, 0.162, 0.166050002,
60 0.167669997, 0.174299985, 0.176789999, 0.179279998, 0.182599992,
61 0.18592, 0.187579989, 0.189239994, 0.190899998, 0.207499996,
62 0.215799987};
63 Float_t aQeCsI2[kNbins] = {0.000199999995, 0.000600000028, 0.000699999975, 0.00499999989, 0.00749999983,
64 0.010125, 0.0242999997, 0.0405000001, 0.0688500032, 0.105299994,
65 0.121500008, 0.141749993, 0.157949999, 0.162, 0.166050002,
66 0.167669997, 0.174299985, 0.176789999, 0.179279998, 0.182599992,
67 0.18592, 0.187579989, 0.189239994, 0.190899998, 0.207499996,
68 0.215799987};
69 Float_t aQeCsI3[kNbins] = {0.000199999995, 0.000600000028, 0.000699999975, 0.00499999989, 0.00749999983,
70 0.010125, 0.0242999997, 0.0405000001, 0.0688500032, 0.105299994,
71 0.121500008, 0.141749993, 0.157949999, 0.162, 0.166050002,
72 0.167669997, 0.174299985, 0.176789999, 0.179279998, 0.182599992,
73 0.18592, 0.187579989, 0.189239994, 0.190899998, 0.207499996,
74 0.215799987};
75 Float_t aQeCsI4[kNbins] = {0.000199999995, 0.000600000028, 0.000699999975, 0.00499999989, 0.00749999983,
76 0.010125, 0.0242999997, 0.0405000001, 0.0688500032, 0.105299994,
77 0.121500008, 0.141749993, 0.157949999, 0.162, 0.166050002,
78 0.167669997, 0.174299985, 0.176789999, 0.179279998, 0.182599992,
79 0.18592, 0.187579989, 0.189239994, 0.190899998, 0.207499996,
80 0.215799987};
81 Float_t aQeCsI5[kNbins] = {0.000199999995, 0.000600000028, 0.000699999975, 0.00499999989, 0.00749999983,
82 0.010125, 0.0242999997, 0.0405000001, 0.0688500032, 0.105299994,
83 0.121500008, 0.141749993, 0.157949999, 0.162, 0.166050002,
84 0.167669997, 0.174299985, 0.176789999, 0.179279998, 0.182599992,
85 0.18592, 0.187579989, 0.189239994, 0.190899998, 0.207499996,
86 0.215799987};
87 Float_t aQeCsI6[kNbins] = {0.000199999995, 0.000600000028, 0.000699999975, 0.00499999989, 0.00749999983,
88 0.010125, 0.0242999997, 0.0405000001, 0.0688500032, 0.105299994,
89 0.121500008, 0.141749993, 0.157949999, 0.162, 0.166050002,
90 0.167669997, 0.174299985, 0.176789999, 0.179279998, 0.182599992,
91 0.18592, 0.187579989, 0.189239994, 0.190899998, 0.207499996,
92 0.215799987};
93 Float_t aQeCsI7[kNbins] = {0.000199999995, 0.000600000028, 0.000699999975, 0.00499999989, 0.00749999983,
d48cca74 94 0.010125, 0.0242999997, 0.0405000001, 0.0688500032, 0.105299994,
95 0.121500008, 0.141749993, 0.157949999, 0.162, 0.166050002,
96 0.167669997, 0.174299985, 0.176789999, 0.179279998, 0.182599992,
97 0.18592, 0.187579989, 0.189239994, 0.190899998, 0.207499996,
98 0.215799987};
99 Float_t aQeAll[kNbins];
100 for(i=0;i<kNbins;i++){
303f57b3 101 aQeCsI1[i]/= (1.0-Fresnel(aPckov[i]*1e9,1.0,0)); //FRESNEL LOSS CORRECTION
102 aQeCsI2[i]/= (1.0-Fresnel(aPckov[i]*1e9,1.0,0)); //FRESNEL LOSS CORRECTION
103 aQeCsI3[i]/= (1.0-Fresnel(aPckov[i]*1e9,1.0,0)); //FRESNEL LOSS CORRECTION
104 aQeCsI4[i]/= (1.0-Fresnel(aPckov[i]*1e9,1.0,0)); //FRESNEL LOSS CORRECTION
105 aQeCsI5[i]/= (1.0-Fresnel(aPckov[i]*1e9,1.0,0)); //FRESNEL LOSS CORRECTION
106 aQeCsI6[i]/= (1.0-Fresnel(aPckov[i]*1e9,1.0,0)); //FRESNEL LOSS CORRECTION
107 aQeCsI7[i]/= (1.0-Fresnel(aPckov[i]*1e9,1.0,0)); //FRESNEL LOSS CORRECTION
d48cca74 108 aQeAll[i]=1; //QE for all other materials except for PC must be 1.
109 }
110
111
112#ifdef __CINT__
113
114
115//Freon, Quartz, Opaque Quartz,Methane,CsI,Grid
116 const Int_t kFreonMarker= 24; const Int_t kFreonColor=kRed;
117 const Int_t kCH4Marker= 25; const Int_t kCH4Color=kGreen;
118 const Int_t kSiO2Marker= 26; const Int_t kSiO2Color=kBlue;
119 const Int_t kCsIMarker = 2; const Int_t kCsIColor =kMagenta;
120
121 TCanvas *pC=new TCanvas("c1","RICH optics to check",800,900);
122
123 pC->Divide(2,2);
124
125 pC->cd(1);
126 TGraph *pAbsFreonGr=new TGraph(kNbins,aPckov,aAbsFreon);
127 pAbsFreonGr->SetMarkerStyle(kFreonMarker); pAbsFreonGr->SetMarkerColor(kFreonColor);
128 TGraph *pAbsSiO2Gr=new TGraph(kNbins,aPckov,aAbsQuartz);
129 pAbsSiO2Gr->SetMarkerStyle(kSiO2Marker); pAbsSiO2Gr->SetMarkerColor(kSiO2Color);
130 TMultiGraph *pAbsMG=new TMultiGraph();
131 TLegend *pAbsLegend=new TLegend(0.6,0.3,0.85,0.5);
132 pAbsMG->Add(pAbsFreonGr); pAbsLegend->AddEntry(pAbsFreonGr, "freon","p"); //1
133 pAbsMG->Add(pAbsSiO2Gr); pAbsLegend->AddEntry(pAbsSiO2Gr, "quartz","p"); //2
134 pAbsMG->Draw("APL");
135 pAbsMG->GetXaxis()->SetTitle("energy, GeV");
136 pAbsMG->GetYaxis()->SetTitle("absorption length, cm");
137 pAbsMG->Draw("APL");
138 pAbsLegend->Draw();
139
140
141 pC->cd(2);
142 TGraph *pIndexFreonGr=new TGraph(kNbins,aPckov,aIndexFreon);
143 pIndexFreonGr->SetMarkerStyle(kFreonMarker); pIndexFreonGr->SetMarkerColor(kFreonColor);
144 TGraph *pIndexSiO2Gr=new TGraph(kNbins,aPckov,aIndexQuartz);
145 pIndexSiO2Gr->SetMarkerStyle(kSiO2Marker); pIndexSiO2Gr->SetMarkerColor(kSiO2Color);
146 TGraph *pIndexCH4Gr=new TGraph(kNbins,aPckov,aIndexCH4);
147 pIndexCH4Gr->SetMarkerStyle(kCH4Marker); pIndexCH4Gr->SetMarkerColor(kCH4Color);
148 TMultiGraph *pIndexMG=new TMultiGraph();
149 TLegend *pIndexLegend=new TLegend(0.6,0.2,0.85,0.4);
150 pIndexMG->Add(pIndexFreonGr); pIndexLegend->AddEntry(pIndexFreonGr, "freon","p"); //1
151 pIndexMG->Add(pIndexSiO2Gr); pIndexLegend->AddEntry(pIndexSiO2Gr, "quartz","p");
152 pIndexMG->Add(pIndexCH4Gr); pIndexLegend->AddEntry(pIndexCH4Gr, "CH4","p");
153 pIndexMG->Draw("APL");
154 pIndexMG->GetXaxis()->SetTitle("energy, GeV");
155 pIndexMG->GetYaxis()->SetTitle("refraction index");
156 pIndexMG->Draw("APL");
157 pIndexLegend->Draw();
158
159 pC->cd(3);
160 TGraph *pAbsCH4Gr=new TGraph(kNbins,aPckov,aAbsCH4);
161 pAbsCH4Gr->SetMarkerStyle(kCH4Marker); pAbsCH4Gr->SetMarkerColor(kCH4Color);
162 pAbsCH4Gr->Draw("APL");
163 pAbsCH4Gr->GetXaxis()->SetTitle("energy, GeV");
164 pAbsCH4Gr->SetTitle("CH4 absorption length, cm");
165 pAbsCH4Gr->Draw("APL");
166
303f57b3 167 TCanvas *pQeC=new TCanvas("pQeC","CsI QE currently all the same",800,900);
168 pQeC->Divide(2,4);
169 for(int i=1;i<=7;i++){
170 pQeC->cd(i);
171 switch(i){
172 case 1: TGraph *pQeCsIGr=new TGraph(kNbins,aPckov,aQeCsI1);pQeCsIGr->SetTitle("Module 1");break;
173 case 2: TGraph *pQeCsIGr=new TGraph(kNbins,aPckov,aQeCsI2);pQeCsIGr->SetTitle("Module 2");break;
174 case 3: TGraph *pQeCsIGr=new TGraph(kNbins,aPckov,aQeCsI3);pQeCsIGr->SetTitle("Module 3");break;
175 case 4: TGraph *pQeCsIGr=new TGraph(kNbins,aPckov,aQeCsI4);pQeCsIGr->SetTitle("Module 4");break;
176 case 5: TGraph *pQeCsIGr=new TGraph(kNbins,aPckov,aQeCsI5);pQeCsIGr->SetTitle("Module 5");break;
177 case 6: TGraph *pQeCsIGr=new TGraph(kNbins,aPckov,aQeCsI6);pQeCsIGr->SetTitle("Module 6");break;
178 case 7: TGraph *pQeCsIGr=new TGraph(kNbins,aPckov,aQeCsI7);pQeCsIGr->SetTitle("Module 7");break;
179 }
180 pQeCsIGr->SetMarkerStyle(kCsIMarker); pQeCsIGr->SetMarkerColor(kCsIColor);
181 pQeCsIGr->Draw("APL");
182 pQeCsIGr->GetXaxis()->SetTitle("energy, GeV");
183 pQeCsIGr->Draw("APL");
184 }
d48cca74 185}//main
186
187Float_t AbsoCH4(Float_t x)
188{
189
190 //KLOSCH,SCH4(9),WL(9),EM(9),ALENGTH(31)
191 Float_t sch4[9] = {.12,.16,.23,.38,.86,2.8,7.9,28.,80.}; //MB X 10^22
192 //Float_t wl[9] = {153.,152.,151.,150.,149.,148.,147.,146.,145};
193 Float_t em[9] = {8.1,8.158,8.212,8.267,8.322,8.378,8.435,8.493,8.55};
194 const Float_t kLosch=2.686763E19; // LOSCHMIDT NUMBER IN CM-3
303f57b3 195 const Float_t kIgas1=100, kIgas2=0, kOxy=10., kWater=5., kPressure=750.,kTemperature=283.;
d48cca74 196 Float_t pn=kPressure/760.;
197 Float_t tn=kTemperature/273.16;
198
199
200// ------- METHANE CROSS SECTION -----------------
201// ASTROPH. J. 214, L47 (1978)
202
203 Float_t sm=0;
204 if (x<7.75)
205 sm=.06e-22;
206
207 if(x>=7.75 && x<=8.1)
208 {
209 Float_t c0=-1.655279e-1;
210 Float_t c1=6.307392e-2;
211 Float_t c2=-8.011441e-3;
212 Float_t c3=3.392126e-4;
213 sm=(c0+c1*x+c2*x*x+c3*x*x*x)*1.e-18;
214 }
215
216 if (x> 8.1)
217 {
218 Int_t j=0;
219 while (x<=em[j] && x>=em[j+1])
220 {
221 j++;
222 Float_t a=(sch4[j+1]-sch4[j])/(em[j+1]-em[j]);
223 sm=(sch4[j]+a*(x-em[j]))*1e-22;
224 }
225 }
226
227 Float_t dm=(kIgas1/100.)*(1.-((kOxy+kWater)/1.e6))*kLosch*pn/tn;
228 Float_t abslm=1./sm/dm;
229
230// ------- ISOBUTHANE CROSS SECTION --------------
231// i-C4H10 (ai) abs. length from curves in
232// Lu-McDonald paper for BARI RICH workshop .
233// -----------------------------------------------------------
234
235 Float_t ai;
236 Float_t absli;
237 if (kIgas2 != 0)
238 {
239 if (x<7.25)
240 ai=100000000.;
241
242 if(x>=7.25 && x<7.375)
243 ai=24.3;
244
245 if(x>=7.375)
246 ai=.0000000001;
247
248 Float_t si = 1./(ai*kLosch*273.16/293.); // ISOB. CRO.SEC.IN CM2
249 Float_t di=(kIgas2/100.)*(1.-((kOxy+kWater)/1.e6))*kLosch*pn/tn;
250 absli =1./si/di;
251 }
252 else
253 absli=1.e18;
254// ---------------------------------------------------------
255//
256// transmission of O2
257//
258// y= path in cm, x=energy in eV
259// so= cross section for UV absorption in cm2
260// do= O2 molecular density in cm-3
261// ---------------------------------------------------------
262
263 Float_t abslo;
264 Float_t so=0;
265 if(x>=6.0)
266 {
267 if(x>=6.0 && x<6.5)
268 {
269 so=3.392709e-13 * TMath::Exp(2.864104 *x);
270 so=so*1e-18;
271 }
272
273 if(x>=6.5 && x<7.0)
274 {
275 so=2.910039e-34 * TMath::Exp(10.3337*x);
276 so=so*1e-18;
277 }
278
279
280 if (x>=7.0)
281 {
282 Float_t a0=-73770.76;
283 Float_t a1=46190.69;
284 Float_t a2=-11475.44;
285 Float_t a3=1412.611;
286 Float_t a4=-86.07027;
287 Float_t a5=2.074234;
288 so= a0+(a1*x)+(a2*x*x)+(a3*x*x*x)+(a4*x*x*x*x)+(a5*x*x*x*x*x);
289 so=so*1e-18;
290 }
291
292 Float_t dox=(kOxy/1e6)*kLosch*pn/tn;
293 abslo=1./so/dox;
294 }
295 else
296 abslo=1.e18;
297// ---------------------------------------------------------
298//
299// transmission of H2O
300//
301// y= path in cm, x=energy in eV
302// sw= cross section for UV absorption in cm2
303// dw= H2O molecular density in cm-3
304// ---------------------------------------------------------
305
306 Float_t abslw;
307
308 Float_t b0=29231.65;
309 Float_t b1=-15807.74;
310 Float_t b2=3192.926;
311 Float_t b3=-285.4809;
312 Float_t b4=9.533944;
313
314 if(x>6.75)
315 {
316 Float_t sw= b0+(b1*x)+(b2*x*x)+(b3*x*x*x)+(b4*x*x*x*x);
317 sw=sw*1e-18;
318 Float_t dw=(kWater/1e6)*kLosch*pn/tn;
319 abslw=1./sw/dw;
320 }
321 else
322 abslw=1.e18;
323
324// ---------------------------------------------------------
325
326 Float_t alength=1./(1./abslm+1./absli+1./abslo+1./abslw);
327 return (alength);
328}//AbsoCH4
329
330
331Float_t Fresnel(Float_t ene,Float_t pdoti, Bool_t pola)
332{
333
334 //ENE(EV), PDOTI=COS(INC.ANG.), PDOTR=COS(POL.PLANE ROT.ANG.)
335
336 Float_t en[36] = {5.0,5.1,5.2,5.3,5.4,5.5,5.6,5.7,5.8,5.9,6.0,6.1,6.2,
337 6.3,6.4,6.5,6.6,6.7,6.8,6.9,7.0,7.1,7.2,7.3,7.4,7.5,7.6,7.7,
338 7.8,7.9,8.0,8.1,8.2,8.3,8.4,8.5};
339
340
341 Float_t csin[36] = {2.14,2.21,2.33,2.48,2.76,2.97,2.99,2.59,2.81,3.05,
342 2.86,2.53,2.55,2.66,2.79,2.96,3.18,3.05,2.84,2.81,2.38,2.11,
343 2.01,2.13,2.39,2.73,3.08,3.15,2.95,2.73,2.56,2.41,2.12,1.95,
344 1.72,1.53};
345
346 Float_t csik[36] = {0.,0.,0.,0.,0.,0.196,0.408,0.208,0.118,0.49,0.784,0.543,
347 0.424,0.404,0.371,0.514,0.922,1.102,1.139,1.376,1.461,1.253,0.878,
348 0.69,0.612,0.649,0.824,1.347,1.571,1.678,1.763,1.857,1.824,1.824,
349 1.714,1.498};
350 Float_t xe=ene;
351 Int_t j=Int_t(xe*10)-49;
352 Float_t cn=csin[j]+((csin[j+1]-csin[j])/0.1)*(xe-en[j]);
353 Float_t ck=csik[j]+((csik[j+1]-csik[j])/0.1)*(xe-en[j]);
354
355 //FORMULAE FROM HANDBOOK OF OPTICS, 33.23 OR
356 //W.R. HUNTER, J.O.S.A. 54 (1964),15 , J.O.S.A. 55(1965),1197
357
358 Float_t sinin=TMath::Sqrt(1-pdoti*pdoti);
359 Float_t tanin=sinin/pdoti;
360
361 Float_t c1=cn*cn-ck*ck-sinin*sinin;
362 Float_t c2=4*cn*cn*ck*ck;
363 Float_t aO=TMath::Sqrt(0.5*(TMath::Sqrt(c1*c1+c2)+c1));
364 Float_t b2=0.5*(TMath::Sqrt(c1*c1+c2)-c1);
365
366 Float_t rs=((aO-pdoti)*(aO-pdoti)+b2)/((aO+pdoti)*(aO+pdoti)+b2);
367 Float_t rp=rs*((aO-sinin*tanin)*(aO-sinin*tanin)+b2)/((aO+sinin*tanin)*(aO+sinin*tanin)+b2);
368
369
370 //CORRECTION FACTOR FOR SURFACE ROUGHNESS
371 //B.J. STAGG APPLIED OPTICS, 30(1991),4113
372
373 Float_t sigraf=18.;
374 Float_t lamb=1240/ene;
375 Float_t fresn;
376
377 Float_t rO=TMath::Exp(-(4*TMath::Pi()*pdoti*sigraf/lamb)*(4*TMath::Pi()*pdoti*sigraf/lamb));
378
379 if(pola)
380 {
381 Float_t pdotr=0.8; //DEGREE OF POLARIZATION : 1->P , -1->S
382 fresn=0.5*(rp*(1+pdotr)+rs*(1-pdotr));
383 }
384 else
385 fresn=0.5*(rp+rs);
386
387 fresn = fresn*rO;
388 return(fresn);
389}//Fresnel(...)
390#endif