A successive order of scattering model for solving vector radiative transfer in the atmosphere

TLDR: In this article, a full vector radiative transfer model for vertically inhomogeneous plane-parallel media has been developed by using the successive order of scattering approach, where a fast analytical expansion of Fourier decomposition is implemented and an exponent-linear assumption is used for vertical integration.

Abstract: A full vector radiative transfer model for vertically inhomogeneous plane–parallel media has been developed by using the successive order of scattering approach. In this model, a fast analytical expansion of Fourier decomposition is implemented and an exponent-linear assumption is used for vertical integration. An analytic angular interpolation method of post-processing source function is also implemented to accurately interpolate the Stokes vector at arbitrary angles for a given solution. It has been tested against the benchmarks for the case of randomly orientated oblate spheroids, illustrating a good agreement for each stokes vector (within 0.01%). Sensitivity tests have been conducted to illustrate the accuracy of vertical integration and angle interpolation approaches. The contribution of each scattering order for different optical depths and single scattering albedos are also analyzed.