Asymptotic Scaling in the Problems of Resonance Radiation Transfer in Linearly Expanding Media - Part Two - Solutions for Infinite and Semi-Infinite Media

Astronomy and Astrophysics – Astronomy

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Scientific paper

Resonance radiation transfer is considered for infinite and semi-infinite media expanding isotropically or plane-parallelly with depth independent dimensionless velocity gradient γ. Complete frequency redistribution is assumed for a scattering in a comoving frame of reference. The source function and radiation intensity are shown in the limit of small γ to be expressed through functions of a less number of arguments which are the combinations of old arguments (including parameters γ and single scattering albedo λ among them). For several main problems these functions are found explicitly for the cases of Doppler and power profiles of the absorption coefficient. They are expressed in terms of elementary or known special functions in the case of Doppler absorption coefficient in a one-dimensional medium with λ = 1. It is shown that the expansion of a medium can lead to the formation of narrow (with a width less than a thermal one) intense features in spectral line profiles.

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