Changes between Version 5 and Version 6 of DatabaseBasedAnalysis/Spectrum


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Timestamp:
Dec 3, 2019, 4:48:47 PM (10 months ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v5 v6  
    44\[\phi(E) = \frac{dN}{dA\cdot dt\cdot dE}\]
    55
    6 Often \(\phi(E)\) is also referred to as \(\frac{dN}{dE}\) as observation time and effective collection area is a constant. The effective Area is then defined as \(A_\textrm{eff}(E)=\epsilon(E)\cdot A_0\). Note that at large distances the efficiency vanishes, so that the effective area is an (energy dependent) constant while \(A_0\) and \(\epsilon\) are mutually dependent.
     6Often \(\phi(E)\) is also referred to as \(\frac{dN}{dE}\) as observation time and effective collection area is a constant. The effective Area is then defined as \(A_\textrm{eff}(E)=\epsilon(E)\cdot A_0\). Note that at large distances the efficiency vanishes, so that the effective area is an (energy dependent) constant while \(A_0\) and the efficiency \(\epsilon(E)\) are mutually dependent.
     7
     8For an observation with an effective observation time (\\Delta T\), this yields:
     9\[\phi(E) = \frac{1}{A_0\cdot \Delta T}\frac{dN}{d\epsilon(E)\cdot dE}\]
     10
     11
    712
    813== Define Binnings ==