Asymptotic Solutions of the Kinetic Equation of the Radiation Propagation, Asymptotic Approximation of the $n$-th Order and the Improved Boundary Conditions.
In the paper, asymptotic solutions of the kinetic equation of radiation propagation are constructed for two extreme cases: optically thin and optically thick media; in calculations for radiation propagation in optically thick media it is suggested to use asymptotic approximations 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 formal solution of the kinetic equation of radiation propagation, 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
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