Changes between Version 11 and Version 12 of DatabaseBasedAnalysis/Spectrum
 Timestamp:
 Dec 3, 2019, 4:53:58 PM (10 months ago)
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DatabaseBasedAnalysis/Spectrum
v11 v12 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 efficiency vanishes, 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 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 7 8 8 For an observation with an effective observation time \(\Delta T\), this yields: