Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-04-13
Astropart.Phys.28:456-462,2007
Astronomy and Astrophysics
Astrophysics
9 pages, 4 figures Revision 1 : extended content 12 pages, 4 figures Accepted for publication in Astroparticle Physics
Scientific paper
10.1016/j.astropartphys.2007.09.
A probability distribution function is presented which provides a realistic description of the detection of scattered photons. The resulting probabilities can be described analytically by means of a superposition of several special functions. These exact expressions can be evaluated numerically only for small distances and limited time residuals, due to computer accuracy limitations. In this report we provide approximations for the exact expressions in different regions of the distance-time residual space, defined by the detector geometry and the space-time scale of an event. These approximations can be evaluated numerically with a relative error with respect to the exact expression at the boundaries of less than 0.001.
Eijndhoven Nick van
Fadiran O.
Japaridze Giorgi
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