Photon escape probabilities in a semi-infinite plane-parallel medium

Details Photon escape probabilities in a semi-infinite plane-parallel medium Photon escape probabilities in a semi-infinite plane-parallel medium

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...276..691w&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 276, Jan. 15, 1984, p. 691-705.

Mathematics

Probability

3

Electron Plasma, Photons, Radiative Transfer, Scattering Cross Sections, X Ray Sources, Escape, Green'S Functions, Optical Thickness, Probability Theory, Thomson Scattering

Scientific paper

It is shown in this work how to obtain the probabilities of photons escaping from a cold electron plasma environment after having undergone an arbitrary number of scatterings. This is done by retaining the exact differential cross section for Thomson scattering as opposed to using its polarization and angle averaged form. The results are given in the form of recursion relations. The geometry used is the semi-infinite plane-parallel geometry witlh a photon source located on a plane at an arbitrary optical depth below the surface. Analytical expressions are given for the probabilities which are accurate over a wide range of initial optical depth. These results can be used to model compact X-ray galactic sources which are surrounded by an electron-rich plasma.

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