Angular distribution of the Stokes vector in a plane-parallel, vertically inhomogeneous medium in the vector discrete ordinate radiative transfer (VDISORT) model.

Details Angular distribution of the Stokes vector in a plane-parallel, vertically inhomogeneous medium in the vector discrete ordinate radiative transfer (VDISORT) model. Angular distribution of the Stokes vector in a plane-parallel, vertically inhomogeneous medium in the vector discrete ordinate radiative transfer (VDISORT) model.

May 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jqsrt..65..609s&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 65, No. 4, p. 609 - 620

Statistics

Computation

14

Radiative Transfer: Scattering, Radiative Transfer: Numerical Methods

Scientific paper

A method is developed to calculate analytically the Stokes vector at arbitrary angles and optical depths from a given vector discrete ordinate solution. The derived expressions are analytic solutions to the radiative transfer equation for the full 4-vector (polarized) radiative transfer problem. These analytic solutions satisfy the boundary and across-layer continuity conditions in a vertically inhomogeneous slab consisting of multiple plane-parallel layers. The scheme is tested for Rayleigh scattering, scattering by spherical particles, and scattering by nonspherical particles. In all three test cases, this method proves to be superior to a spline interpolation that has previously been used in connection with the vector discrete ordinate method, both in terms of accuracy and in terms of computational speed. In contrast to the spline, the analytic method presented has no difficulties with extrapolations. It is interesting to note that the analytic expressions developed actually improve the discrete ordinate results.

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