Changeset 816


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Timestamp:
05/30/01 13:49:36 (24 years ago)
Author:
harald
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intermediate
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  • trunk/ICRC_01/mccontrib.tex

    r815 r816  
    4040\section{Introduction}
    4141
    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
     42The $17~\mathrm{m}$ diameter
     43Che\-ren\-kov telescope called MAGIC
     44is presently in the construction stage \cite{mc98}.
     45The aim of this
    4546detector 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 $250~\mathrm{m^2}$.
     47energy region above $\approx 30~\mathrm{GeV}$ in its first phase.
    4848The air showers induced by cosmic ray particles (hadrons and gammas)
    49 will be detected with a "classical" camera consisting of 577
     49will be detected with a "classical" camera consisting of 576
    5050photomultiplier tubes (PMT). The analog signals of these PMTs will
    5151be recorded by a FADC system running with a frequency of
     
    5555different trigger levels.
    5656
    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.
     57The primary goal of the trigger system is the selction of showers,
    6058For a better understanding of the MAGIC telescope and its different
    6159systems (trigger, FADC) a detailed Monte Carlo (MC) study is
    6260neccessary. Such an study has to take into account the simulation
    63 of air showers, the effect of absorption in the atmosphere, the
     61of the air showers, the effect of absorption in the atmosphere, the
    6462behaviour of the PMTs and the response of the trigger and FADC
    6563system.
    6664 
    67 For a big telescope like MAGIC there is an additional source of
    68 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 the
     65An important issue for a big telescope like MAGIC
     66is the light of the night sky.
     67There will be around 50 stars with magnitude $m \le 9$ in the
    7068field 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.
     69Methods have to be developed which allow to
     70reduce the biases introduced by the presence of stars.
     71The methods can be tested by using Monte Carlo data.
    7572
    7673
     
    7976\section{Generation of MC data samples}
    8077
    81 The simulation of the MAGIC telescope is seperated in a
    82 subsequent chain of smaller simulation parts. First the
     78The simulation is done in several steps:
     79First the
    8380air showers are simulated with the
    8481CORSIKA program \citep{hk95}.
     
    8784Then the behaviour of the PMTs is simulated and the
    8885response of the trigger and FADC system is generated.
    89 In the following subsections you find a more precise
    90 description of all the programs.
     86In the following subsections
     87the various steps are described in more details.
    9188
    9289\subsection{Air shower simulation}
     
    9491The simulation of gammas and of hadrons is done with
    9592the CORSIKA program, version 5.20.
    96 For the simulation of hadronic
     93For the simulation of had\-ro\-nic
    9794showers we use the VENUS model. We simulate showers
    9895for different zenith angles
    9996($\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.
     9720^\circ, 25^\circ $) at fixed azimuth angel $\Phi$.
     98Gammas are assumed to originate from point sources
     99in the direction ($\Theta,\Phi$)
     100whereas the hadrons are simulated isotropically
     101around the given ($\Theta,\Phi$) direction.
     102The trigger probability for hadronic showers with
     103a big impact parameter $I$ is not Englisch negligible.
    106104Therefore we
    107105simulate hadrons with $I < 400~\mathrm{m}$ and gammas
     
    134132%
    135133For each simulated shower all
    136 Cherenkov photons hitting the ground at observation level
     134Cherenkov photons hitting a horizontal plane at observation level
    137135close to the telescope position are stored.
    138136
    139 \subsection{atmospheric and mirror simulation}
    140 
    141 The output of the air shower simualition is used
    142 as the input to the mirror simulation.
     137\subsection{Atmospheric and mirror simulation}
     138
     139The output of the air shower simulation is used
     140as the input to this step.
    143141First the absorption in the atmosphere is taken into
    144142account.
    145143By knowing the height of production and the
    146 wavelength of each Cherenkov photen it is possible
    147 to calculate the effect of Rayleigh and Mie scattering.
    148 The second step is the simulation of the mirror dish.
     144wavelength of each Cherenkov photon the effect of Rayleigh
     145and Mie scattering is calculated.
     146Next the reflection at the mirrors is simulated.
    149147We assume a reflectivity of the mirrors of around 90\%.
    150 Each Cherenkov photon hitting one mirror is tracked back
     148Each Cherenkov photon hitting one mirror is propagated
    151149to the camera plane of the telescope. This procedure
    152150depends on the orientation of the telescope to the
    153151shower axis.
    154152All Cherenkov photons reaching the camera plane will be
    155 keeped for the next simulation program.
    156 
    157 \subsection{camera simulation}
    158 
    159 The camera simulates the behaviour of the PMTs and the
    160 electronics of the trigger and FADC system. After the
    161 pixelisation we take the wavelength dependent quantum
     153kept for the next simulation step.
     154
     155\subsection{Camera simulation}
     156
     157The simulation comprises the behaviour of the PMTs and the
     158electronics of the trigger and FADC system.
     159We take the wavelength dependent quantum
    162160efficiency (QE) for each PMT into account.
    163161In figure \ref{fig_qe}
     
    176174%
    177175%
    178 For each photo electron (PE) leaving the photo cathod we
    179 generate a "standard" response function that we add to
    180 the analog signal of that PMT - seperatly for the
     176For each photo electron (PE) leaving the photo cathode we
     177use a "standard" response function to generate
     178the analog signal of that PMT - separatly for the
    181179trigger 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}.
     180At present these response functions are gaussians with
     181a given width in time.
     182The amplitude of the response function is chosen randomly
     183according to the distribution of figure \ref{fig_ampl}
     184 .
     185 
    186186By superimposing all photons of one pixel and by taking
    187 the arrival time into account the response
     187the arrival times into account the response
    188188of the trigger and FADC system for that pixel is generated
    189189(see also figure \ref{fig_starresp}).
    190190This is done for all pixels in the camera.
    191191
    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
     192The simulation of the trigger electronic starts by checking
     193whether the generated analog signal exceeds the discriminator
     194level.
     195In that case a digital output
    195196signal of a given length (We use in that study a gate length of 6
    196197nsec.)
    197 for that pixels.
     198for that pixels is generated.
    198199By checking next neighbour conditions (NN) at a given time
    199200the first level trigger is simulated.
     
    209210 \includegraphics[width=8.3cm]{ampldist.eps} % .eps for Latex,
    210211                                            % 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.}
    212214 \label{fig_ampl}
    213215\end{figure}
     
    216218%
    217219
    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
     222Due to the big mirror area MAGIC will be sensitive up to
     223$10^m$ stars.
     224These stars will contribute locally to the noise in the
     225camera and have to be taken into account.
     226We developed a program that allows us
    223227to simulate the star light together with the generated showers.
    224 This program takes all stars in the field of view of the camera
    225 around chosen sky region. The light of these stars is track up to
    226 the camera taking the frequency of the light into account.
     228This program considers all stars in the field of view of the camera
     229around a chosen direction. The light of these stars is traced up to
     230the camera taking the wavelength of the light into account.
    227231After simulating the response of the photo cathode, we
    228232get the number of emitted photo electrons per pixel and
    229233time.
    230234
    231 These number is used to generate a noise signal for all the pixels.
     235These number are used to generate a noise signal for all the pixels.
    232236%
    233237%
     
    247251%
    248252In figure \ref{fig_starresp} the response of the trigger and the
    249 FADC system can be seen for one pixel with a star of
     253FADC system can be seen for a pixel with a star of
    250254magnitude $m = 7$.
    251255These stars are typical, because there will
    252 be always one $7^m$ star in the trigger area of the camera.
     256be on average one $7^m$ star in the trigger area of the camera.
    253257
    254258
     
    259263\subsection{Trigger studies}
    260264
    261 The MC data produced are used to calculate some important
    262 parameter of the MAGIC telescope on the level of the
    263 trigger system.
    264 The trigger system build up will consist of different
    265 trigger levels. The discriminator of each channel is called the
    266 zero-level-trigger. For a given signal each discriminator will
    267 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 the digital output.
     265The trigger system will consist of different
     266trigger levels.
     267The discriminator of each channel is called the
     268zero-level-trigger.
     269If a given signal exceeds the discriminator threshold
     270a digital output signal of a given length is produced.
     271So the important parameters of such a system are the
     272threshold of each discriminator and the length of the
     273digital output.
    270274
    271275The first-level-trigger is looking in the digital output of the
     
    275279overlapping time.
    276280
     281
     282The MC data produced are used to calculate some important
     283parameter of the MAGIC telescope on the level of the
     284trigger system.
     285
    277286The second-level-trigger of the MAGIC telescope will be a
    278287pattern-recognition method. This part is still in the design
    279288phase. All results presented here are based on studies of the
    280289first-level-trigger.
     290
    281291 
    282292\subsubsection{Collection area}
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