Abstract
An asymptotic analysis is made of the system of equations obtained in a previous paper. This system is equivalent to the radiative transfer equation and is suitable for effective solution in the case of an optically thick layer with arbitrary linear boundary conditions of reflection and transmission. Asymptotic expressions are obtained that make it possible in each specific case to find the explicit form of the laws of reflection and transmission of diffuse radiation. The spatial distribution of the radiation intensity within and on the boudaries of an optically thick layer is also investigated.
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References
V. S. Potapov,Teor. Mat. Fiz.,100, 287 (1994).
V. A. Fock,Mat. Sb.,14(56), No. 1—2 (1994).
V. V. Sobolev,The Scattering of Light in the Atmospheres of Planets [in Russian], Nauka, Moscow (1972).
Additional information
State University, Moscow. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 100, No. 3, pp. 424–443, September, 1994.
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Potapov, V.S. Asymptotic solutions of the equations of radiative transfer for an optically thick layer with reflecting boundaries. Theor Math Phys 100, 1117–1131 (1994). https://doi.org/10.1007/BF01018577
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DOI: https://doi.org/10.1007/BF01018577