Approximate formula for the escape function for nearly conservative scattering

Physics

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Scientific paper

The escape function u(μ) (i.e., the boundary solution of the Milne problem for a semi-infinite atmosphere) is considered. It is presented in the form u(μ) = u0 (μ ) + √ {1 - λ}u1(μ) + (1-λ)u2(μ) + ldots, where λ is the single-scattering albedo. A rather accurate approximate formula for a the function u0 (μ) is obtained for not highly elongated phase function. An approximate expression for the function u2 (μ) is also derived, it is exact in the case of the most simple anisotropic scattering.

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