Changes between Version 104 and Version 105 of DatabaseBasedAnalysis/Spectrum


Ignore:
Timestamp:
Dec 5, 2019, 10:39:01 AM (11 months ago)
Author:
tbretz
Comment:

--

Legend:

Unmodified
Added
Removed
Modified
  • DatabaseBasedAnalysis/Spectrum

    v104 v105  
    22
    33The 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\[\phi(E) = \frac{dN}{dA\cdot dt\cdot dE}\]
    55
    66Often \(\phi(E)\) 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.