Energy albedo for multiregion slabs

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Albedo, Anisotropic Media, Boltzmann Transport Equation, Energy Transfer, Radiative Transfer, Asymptotic Methods, Kernel Functions, Laplace Transformation, Mathematical Models, Transfer Functions

Scientific paper

An asymptotic solution for the equation of radiative transfer in an inhomogeneous medium was obtained on the basis of the corresponding solutions for homogeneous sub-layers in the slowing down region. Function relations between the reflection and transmission coefficients for the whole slab and those of the sub-layers are given. The invariant embedding concepts are used to get the reflection and transmission coefficients for the sub-layers. The authors assumed different models for the slowing-down kernels. Laplace transform was used to transform the Boltzmann equation to one velocity approximation with re-scaled mean-free path and single-scattering albedo. Numerical results are given for energy albedo as a function of the mass number of the host medium.

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