Changes between Version 104 and Version 105 of DatabaseBasedAnalysis/Spectrum
 Timestamp:
 Dec 5, 2019, 10:39:01 AM (11 months ago)
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DatabaseBasedAnalysis/Spectrum
v104 v105 2 2 3 3 The differential flux \(\phi(E)\) per area, time and energy interval is defined as 4 [0] \[\phi(E) = \frac{dN}{dA\cdot dt\cdot dE}\] [0]4 \[\phi(E) = \frac{dN}{dA\cdot dt\cdot dE}\] 5 5 6 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.