Development of radiative transfer equations for the scattering of polarized light in a plane-parallel medium.

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Radiative Transfer: Scattering, Radiative Transfer: Polarization, Radiative Transfer: Numerical Methods

Scientific paper

The objective of the present work is to demonstrate that the exact solutions of one-dimensional radiative transfer source function, intensity, and flux for polarized radiation can be obtained by using a procedure similar to that which Ambarzumian (1942) applied to the scalar problem. In this paper, the exact expressions are derived for the source matrices, reflection and transmission matrices, reflected and transmitted intensity matrices, and reflected and transmitted flux matrices at the boundaries of a plane-parallel medium which scatters, absorbs, and is exposed to incident polarized radiation. The polarized phase matrix of the medium is general, requiring only that the scattering particles be randomly oriented and have one plane of symmetry. In the future, the equations formulated herein will be solved numerically for various polarized boundary conditions, albedos and optical thicknesses.

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