Generalized four-flux radiative transfer model

摘要

General solutions for a four-flux radiative transfer model, derived from the radiative transfer equation and based on Lorenz-Mie scattering and absorption parameters, have been obtained. Forward and backward average path-length parameters have been considered as well as forward-scattering ratios for diffuse anisotropic radiation going into the forward and the backward hemispheres. The reported solutions are generalizations of those obtained by Maheu et al. [Appl. Opt. 23, 3353-3362 (1984)]. Compared with the generalized solutions, numerical calculations indicate that the delta-Eddington approximation and the standard four-flux model of Maheu ct al. overestimate the collimated-diffuse reflectance of particulate coatings, whereas these models give similar results in the case of collimated-diffuse transmittance. (C) 1998 Optical Society of America. [References: 39]