Abstract

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 δ-Eddington approximation and the standard four-flux model of Maheu et al. overestimate the collimated–diffuse reflectance of particulate coatings, whereas these models give similar results in the case of collimated–diffuse transmittance.

© 1998 Optical Society of America

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