Changeset 816
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trunk/ICRC_01/mccontrib.tex
r815 r816 40 40 \section{Introduction} 41 41 42 In this year the construction of the $17~\mathrm{m}$ diameter 43 Che\-ren\-kov telescope called MAGIC \cite{mc98} 44 will be finished. The aim of this 42 The $17~\mathrm{m}$ diameter 43 Che\-ren\-kov telescope called MAGIC 44 is presently in the construction stage \cite{mc98}. 45 The aim of this 45 46 detector is the observation of $\gamma$-ray sources in the 46 energy region above $\approx 10~\mathrm{GeV}$. 47 The size of the telesope mirrors will be around $250~\mathrm{m^2}$. 47 energy region above $\approx 30~\mathrm{GeV}$ in its first phase. 48 48 The air showers induced by cosmic ray particles (hadrons and gammas) 49 will be detected with a "classical" camera consisting of 57 749 will be detected with a "classical" camera consisting of 576 50 50 photomultiplier tubes (PMT). The analog signals of these PMTs will 51 51 be recorded by a FADC system running with a frequency of … … 55 55 different trigger levels. 56 56 57 The goal of the trigger system is to reject the hadronic cosmic ray 58 background from the gamma rays, for which the lowest threshold 59 is aimed. 57 The primary goal of the trigger system is the selction of showers, 60 58 For a better understanding of the MAGIC telescope and its different 61 59 systems (trigger, FADC) a detailed Monte Carlo (MC) study is 62 60 neccessary. Such an study has to take into account the simulation 63 of air showers, the effect of absorption in the atmosphere, the61 of the air showers, the effect of absorption in the atmosphere, the 64 62 behaviour of the PMTs and the response of the trigger and FADC 65 63 system. 66 64 67 For a big telescope like MAGIC there is an additional source of68 noise, which is the light of the night sky. As a rude assumption 69 there will be around 50 stars with magnitude $m \le 9$ in the65 An important issue for a big telescope like MAGIC 66 is the light of the night sky. 67 There will be around 50 stars with magnitude $m \le 9$ in the 70 68 field of view of the camera. 71 Investigations are neccessary to invent methods which allows to 72 reduce the effect of the light from stars. The methods can be 73 tested before the MAGIC telescope exists by using monte carlo 74 data. 69 Methods have to be developed which allow to 70 reduce the biases introduced by the presence of stars. 71 The methods can be tested by using Monte Carlo data. 75 72 76 73 … … 79 76 \section{Generation of MC data samples} 80 77 81 The simulation of the MAGIC telescope is seperated in a82 subsequent chain of smaller simulation parts.First the78 The simulation is done in several steps: 79 First the 83 80 air showers are simulated with the 84 81 CORSIKA program \citep{hk95}. … … 87 84 Then the behaviour of the PMTs is simulated and the 88 85 response of the trigger and FADC system is generated. 89 In the following subsections you find a more precise90 description of all the programs.86 In the following subsections 87 the various steps are described in more details. 91 88 92 89 \subsection{Air shower simulation} … … 94 91 The simulation of gammas and of hadrons is done with 95 92 the CORSIKA program, version 5.20. 96 For the simulation of had ronic93 For the simulation of had\-ro\-nic 97 94 showers we use the VENUS model. We simulate showers 98 95 for different zenith angles 99 96 ($\Theta = 0^\circ, 5^\circ, 10^\circ, 15^\circ, 100 20^\circ, 25^\circ $). 101 Gammas where simulated like a point source 102 whereas the hadrons are simulated isotropic around 103 the given zenith angle. 104 The trigger probality for hadronic showers with 105 a big impact parameter $I$ is not negliable. 97 20^\circ, 25^\circ $) at fixed azimuth angel $\Phi$. 98 Gammas are assumed to originate from point sources 99 in the direction ($\Theta,\Phi$) 100 whereas the hadrons are simulated isotropically 101 around the given ($\Theta,\Phi$) direction. 102 The trigger probability for hadronic showers with 103 a big impact parameter $I$ is not Englisch negligible. 106 104 Therefore we 107 105 simulate hadrons with $I < 400~\mathrm{m}$ and gammas … … 134 132 % 135 133 For each simulated shower all 136 Cherenkov photons hitting the groundat observation level134 Cherenkov photons hitting a horizontal plane at observation level 137 135 close to the telescope position are stored. 138 136 139 \subsection{ atmospheric and mirror simulation}140 141 The output of the air shower simu alition is used142 as the input to th e mirror simulation.137 \subsection{Atmospheric and mirror simulation} 138 139 The output of the air shower simulation is used 140 as the input to this step. 143 141 First the absorption in the atmosphere is taken into 144 142 account. 145 143 By knowing the height of production and the 146 wavelength of each Cherenkov phot en it is possible147 to calculate the effect of Rayleigh and Mie scattering. 148 The second step is the simulation of the mirror dish.144 wavelength of each Cherenkov photon the effect of Rayleigh 145 and Mie scattering is calculated. 146 Next the reflection at the mirrors is simulated. 149 147 We assume a reflectivity of the mirrors of around 90\%. 150 Each Cherenkov photon hitting one mirror is tracked back148 Each Cherenkov photon hitting one mirror is propagated 151 149 to the camera plane of the telescope. This procedure 152 150 depends on the orientation of the telescope to the 153 151 shower axis. 154 152 All Cherenkov photons reaching the camera plane will be 155 ke eped for the next simulation program.156 157 \subsection{ camera simulation}158 159 The camera simulates the behaviour of the PMTs and the160 electronics of the trigger and FADC system. After the161 pixelisation we take the wavelength dependent quantum153 kept for the next simulation step. 154 155 \subsection{Camera simulation} 156 157 The simulation comprises the behaviour of the PMTs and the 158 electronics of the trigger and FADC system. 159 We take the wavelength dependent quantum 162 160 efficiency (QE) for each PMT into account. 163 161 In figure \ref{fig_qe} … … 176 174 % 177 175 % 178 For each photo electron (PE) leaving the photo cathod we179 generate a "standard" response function that we add to180 the analog signal of that PMT - sep eratly for the176 For each photo electron (PE) leaving the photo cathode we 177 use a "standard" response function to generate 178 the analog signal of that PMT - separatly for the 181 179 trigger and the FADC system. 182 At the present these response function are gaussians with 183 a given width. 184 The amplitude of the response function is randomized 185 by using the distribution of figure \ref{fig_ampl}. 180 At present these response functions are gaussians with 181 a given width in time. 182 The amplitude of the response function is chosen randomly 183 according to the distribution of figure \ref{fig_ampl} 184 . 185 186 186 By superimposing all photons of one pixel and by taking 187 the arrival time into account the response187 the arrival times into account the response 188 188 of the trigger and FADC system for that pixel is generated 189 189 (see also figure \ref{fig_starresp}). 190 190 This is done for all pixels in the camera. 191 191 192 Then the simulation of the trigger electronic is applied. 193 We look in the generated analog signal if the discriminator 194 threshold is achieved. In that case a digital output 192 The simulation of the trigger electronic starts by checking 193 whether the generated analog signal exceeds the discriminator 194 level. 195 In that case a digital output 195 196 signal of a given length (We use in that study a gate length of 6 196 197 nsec.) 197 for that pixels .198 for that pixels is generated. 198 199 By checking next neighbour conditions (NN) at a given time 199 200 the first level trigger is simulated. … … 209 210 \includegraphics[width=8.3cm]{ampldist.eps} % .eps for Latex, 210 211 % pdfLatex allows .pdf, .jpg, .png and .tif 211 \caption{The distibution of amplitude of the standard response function.} 212 \caption{The distibution of the amplitude of the standard response 213 function to single photo electrons.} 212 214 \label{fig_ampl} 213 215 \end{figure} … … 216 218 % 217 219 218 \subsection{starlight simulation} 219 220 Due to the big mirror surface the light from the stars around 221 the position of an expected gamma ray source is contributing to 222 the noise in the camera. We developed a program that allows us 220 \subsection{Starlight simulation} 221 222 Due to the big mirror area MAGIC will be sensitive up to 223 $10^m$ stars. 224 These stars will contribute locally to the noise in the 225 camera and have to be taken into account. 226 We developed a program that allows us 223 227 to simulate the star light together with the generated showers. 224 This program takes all stars in the field of view of the camera225 around chosen sky region. The light of these stars is trackup to226 the camera taking the frequencyof the light into account.228 This program considers all stars in the field of view of the camera 229 around a chosen direction. The light of these stars is traced up to 230 the camera taking the wavelength of the light into account. 227 231 After simulating the response of the photo cathode, we 228 232 get the number of emitted photo electrons per pixel and 229 233 time. 230 234 231 These number isused to generate a noise signal for all the pixels.235 These number are used to generate a noise signal for all the pixels. 232 236 % 233 237 % … … 247 251 % 248 252 In figure \ref{fig_starresp} the response of the trigger and the 249 FADC system can be seen for onepixel with a star of253 FADC system can be seen for a pixel with a star of 250 254 magnitude $m = 7$. 251 255 These stars are typical, because there will 252 be alwaysone $7^m$ star in the trigger area of the camera.256 be on average one $7^m$ star in the trigger area of the camera. 253 257 254 258 … … 259 263 \subsection{Trigger studies} 260 264 261 The MC data produced are used to calculate some important262 parameter of the MAGIC telescope on the level of the263 trigger system.264 The trigger system build up will consist of different265 trigger levels. The discriminator of each channel is called the266 zero-level-trigger. For a given signal each discriminator will267 produce a digital output signal of a given length. So the important 268 parameters of such an system are the threshold of each discriminator 269 and the length of thedigital output.265 The trigger system will consist of different 266 trigger levels. 267 The discriminator of each channel is called the 268 zero-level-trigger. 269 If a given signal exceeds the discriminator threshold 270 a digital output signal of a given length is produced. 271 So the important parameters of such a system are the 272 threshold of each discriminator and the length of the 273 digital output. 270 274 271 275 The first-level-trigger is looking in the digital output of the … … 275 279 overlapping time. 276 280 281 282 The MC data produced are used to calculate some important 283 parameter of the MAGIC telescope on the level of the 284 trigger system. 285 277 286 The second-level-trigger of the MAGIC telescope will be a 278 287 pattern-recognition method. This part is still in the design 279 288 phase. All results presented here are based on studies of the 280 289 first-level-trigger. 290 281 291 282 292 \subsubsection{Collection area}
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