Scaling laws for resonance line photons in an absorbing medium

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Interstellar Extinction, Radiative Transfer, Scaling Laws, Thermalization (Energy Absorption), Asymptotic Methods, Optical Paths, Transfer Functions

Scientific paper

Resonance line scattering in the presence of a source of continuous absorption is studied for very small values of the ratio of the continuous to line opacity, beta. Scaling laws for the thermalization length, the thermalization frequency, the mean number of scatterings and the mean path length are extracted from an asymptotic analysis of the equation of transfer in the limit as beta approaches 0. An interpretation is given for asymptotic scaling laws inferred from numerical data by Hummer and Kunasz (1978) and Bonilha et al. (1979).

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