Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.107...11s&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 107, no. 1, Dec. 1984, p. 11-18.
Astronomy and Astrophysics
Astrophysics
2
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.
Abdel Krim M. S.
El Gazzar M. A.
El Wakil S. A.
Saad E. A.
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