3 years ago

Asymptotic Solutions of the Kinetic Equation of the Radiation Propagation, Asymptotic Approximation of the $n$-th Order and the Improved Boundary Conditions.

S. A. Serov, S. S. Serova

In the paper, asymptotic solutions of the kinetic equation of radiation propagation are constructed for two extreme cases: optically thick and optically thin media; in calculations of radiation propagation in optically thick media it is suggested to use asymptotic approximation of the $n$-th order. A formal solution has been obtained for the kinetic equation of radiation propagation along the line in the form of infinite series, %and it is shown, that for the optically thick medium, when the infinite series are certainly convergent, this formal solution is similar to the constructed asymptotic solution of the kinetic equation of radiation propagation. From the asymptotic solution of the kinetic equation of radiation propagation for optically thick media, improved boundary conditions (for inner boundaries and outer boundaries with vacuum), essential for practical application to calculations of radiation propagation, are derived.

Publisher URL: http://arxiv.org/abs/1801.05773

DOI: arXiv:1801.05773v2

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