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Definitions XMM-Newton SAS Home Page
XMM-Newton Science Analysis System


evigweight (evigweight-1.6) [xmmsas_20080701_1801-8.0.0]

Introduction Description Event processing Home Index

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Definitions

The spectroscopic model of the source gives $s_{\alpha,\delta}(E)$, the number of photons received per cm$^{2}$ and per second at the earth, from sky position $\alpha,\delta$ and at energy $E$ (differential per solid angle and energy).

The number of photons, $m_{detx,dety}(I)$, detected (per second) in pixel $detx,dety$ and in PI energy bin $I$ centered at $E_I$ is obtained by multiplying by the effective area and applying the response matrix:

\begin{displaymath}
m_{detx,dety}(I) \; = \; \int_e \: R_{detx,dety}(e,I) \: A_{...
...y}(e)
\: s_{\alpha,\delta}(e) \: \mathrm d e \: \Delta \Omega
\end{displaymath} (1)

$A_{detx,dety}(E)$ is the effective area at position $detx,dety$ for energy $E$ and includes all instrumental effects (telescope, RGA, filter, detector). $R_{detx,dety}(E,I)$ is the redistribution of photons of energy $E$ at position $detx,dety$ into PI bin $I$. The correspondence between sky position and detector coordinates depends on the telescope's pointing. In theory this correspondence is not direct, but via a convolution with the Point Spread Function. This complication is ignored here (see Sect.3.7).


Introduction Description Event processing Home Index

XMM-Newton SOC/SSC -- 2008-07-02