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Radiative transfer in a cylinder. II. Special problems. Asymptotics

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Abstract

The method of computing the radiation field in an infinite circular cylinder proposed in Part I is now applied to the case of isotropic scattering with sources on the boundary and axis of the cylinder, as well as for a uniform distribution of sources inside the cylinder. For the simplest kernel we obtain exact solutions of the basic integral equation in explicit form. For scattering in a spectral line with complete frequency redistribution and a power absorption profile we develop an asymptotic theory for the case when the optical radius of the cylinder is large. We solve the asymptotic equations for the basic characteristics of the scattering in closed form for conservative scattering and find its asymptotics. We obtain estimates of the mean number of scatterings with a layered source, and also the mean and variance of the number of scatterings with a uniform source distribution.

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Authors and Affiliations

  1. St. Petersburg State University, USSR

    D. I. Nagirner

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  1. D. I. Nagirner
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Translated fromAstrofizika, Vol. 37, No. 4, 1994.

This work was carried out with the financial support of the Russian Basic Research Fund (grant 93-02-2957).

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Nagirner, D.I. Radiative transfer in a cylinder. II. Special problems. Asymptotics. Astrophysics 37, 362–371 (1994). https://doi.org/10.1007/BF02059409

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  • DOI: https://doi.org/10.1007/BF02059409

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