Abstract
The eigensolutions of the transfer equation for polarized light in a plane parallel isotropic medium with an arbitrary law of single scattering are derived. The transfer equation splits into independent equations for the azimuthal Fourier components. The eigensolutions of the independent transfer equations are found in terms of a characteristics function matrix, which obeys a linear integral equation. By using the expansion of the scattering matrix in generalized spherical functions, this integral equation is reduced to recurrence relations. Orthogonality and normalization of the eigenfunctions are investigated. Their completeness on the full range [-1, +1] is proved. The complete sets of eigensolutions are employed to construct the infinite medium Green's function matrix.
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