A Fourier transform solution of radiation transfer in plane-parallel medium with space-dependent albedo

Astronomy and Astrophysics – Astrophysics

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Albedo, Atmospheric Scattering, Fourier Transformation, Gray Gas, Radiative Transfer, Boundary Value Problems, Integral Transformations, Reflectance

Scientific paper

A method is presented for solving radiation transfer problems involving space-dependent single-scattering albedo c(x) for a grey plane non-emitting medium with isotropic scattering. Expressions for the exit distributions and the reflection and transmission coefficients, relevant to a medium having a slab geometry, are given. The solution of the linear transport equation is performed on the basis of integral Fourier transforms. Numerical results are obtained in the case of exponentially varying single-scattering albedo and compared with previous results.

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