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The radiation field in a semi-infinite atmosphere containing energy sources

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Abstract

The problem of determining the radiation field, in a medium in which the energy sources are distributed in depth according to the power law, under broad assumptions concerning the elementary scattering process, has been reduced to a solution of similar problem in an isothermal atmosphere. In addition, the radiation intensity at a specified point in an isothermal atmosphere is related with that in an atmosphere, illuminated by continuum isotropic radiation. This fact, in particular, enables one to express the intensity of the outgoing radiation for an arbitrary distribution of the internal energy sources in terms of Ambartsumian's φ-function, or in terms of φ-functions obtained in more complicated situations, characterized by anisotropic scattering, the general case of frequency redistribution etc. For illustration, the classical Milne-Eddington problem of spectral-line formation is considered.

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Authors and Affiliations

  1. Byurakan Astrophysical Observatory, Armenian Academy of Sciences, Armenia, U.S.S.R.

    A. G. Nikoghossian & H. A. Haruthyunian

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  1. A. G. Nikoghossian
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  2. H. A. Haruthyunian
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Nikoghossian, A.G., Haruthyunian, H.A. The radiation field in a semi-infinite atmosphere containing energy sources. Astrophys Space Sci 64, 285–299 (1979). https://doi.org/10.1007/BF00639510

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