Changes between Version 96 and Version 97 of DatabaseBasedAnalysis/Spectrum
 Timestamp:
 Dec 5, 2019, 10:21:17 AM (11 months ago)
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DatabaseBasedAnalysis/Spectrum
v96 v97 4 4 \[\phi(E) = \frac{dN}{dA\cdot dt\cdot dE}\] 5 5 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 efficiencyvanishes, so that the effective area is an (energy dependent) constant while \(A_0\) and the efficiency \(\epsilon(E)\) are mutually dependent.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 \(r\) the efficiency \(\epsilon(r)\) vanishes, so that the effective area is an (energy dependent) constant while \(A_0\) and the efficiency \(\epsilon(E)\) are mutually dependent. 7 7 8 8 For an observation with an effective observation time \(\Delta T\), this yields in a given Energy interval \(\Delta E\):