Escape probabilities, mean number of scatterings and net radiative bracket for resonance lines

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Quasars, Radiative Transfer, Resonance Lines, Resonance Scattering, Line Spectra, Photons, Self Absorption, Stellar Spectra

Scientific paper

An examination of the multiple scattering of resonance-line photons in nonconservative media, where the photons have a small probability of destruction at each scattering, yields an approximation for the mean number of scatterings on the basis of scaling arguments which takes into account both the destruction of photons and escape through boundaries. The approximation is used to show that the fraction of the emitted energy escaping from the medium, known as the mean escape probability, is nearly independent of the value of the destruction probability. Analytical solutions which are valid deep within the medium, and accurate numerical solutions of the transfer problem, are used to check the validity of the stated results and examine the errors made when scaling laws for the mean escape probability are transformed into depth variation scaling laws.

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