Changes between Version 99 and Version 100 of DatabaseBasedAnalysis/Spectrum


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Timestamp:
12/05/19 10:25:26 (6 years ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v99 v100  
    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 \(r_0\) the efficiency \(\epsilon(r_0)\) vanishes, so that the effective area is an (energy dependent) constant while \(A_0=\pi r_0^2\) and the efficiency \(\epsilon(E)\) 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 \(R_0\) the efficiency \(\epsilon(R_0)\) vanishes, so that the effective area is an (energy dependent) constant while \(A_0=\pi R_0^2\) and the efficiency \(\epsilon(E)\) are mutually dependent.
    77
    88For an observation with an effective observation time \(\Delta T\), this yields in a given Energy interval \(\Delta E\):