A particular solution for polarization calculations in radiative transfer

Mathematics

Scientific paper

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Analysis (Mathematics), Mathematical Models, Polarized Light, Radiative Transfer, Scattering, Boundary Value Problems, Eigenvectors, Fourier Series, Recursive Functions, Spherical Harmonics

Scientific paper

A pair of biorthogonality relations, relevant to some elements of a generalized spherical-harmonics solution of the homogeneous equation of transfer, is derived and used, along with linear-algebra techniques, to develop a particular solution appropriate to the scattering of polarized light. The considered radiative-transfer model is based on a general treatment of polarization effects in a plane-parallel medium that contains a source that varies with position and both direction variables.

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