General solutions for a four-flux radiative transfer model, derivedfrom the radiative transfer equation and based on Lorenz–Miescattering and absorption parameters, have been obtained. Forwardand backward average path-length parameters have been considered aswell as forward-scattering ratios for diffuse anisotropic radiationgoing into the forward and the backward hemispheres. The reportedsolutions are generalizations of those obtained by Maheu et al. [Appl. Opt. 23, 3353–3362(1984)]. Compared with the generalized solutions, numericalcalculations indicate that the δ-Eddington approximation and thestandard four-flux model of Maheu et al. overestimate thecollimated–diffuse reflectance of particulate coatings, whereas thesemodels give similar results in the case of collimated–diffusetransmittance.
© 1998 Optical Society of America
William E. Vargas, "Generalized Four-Flux Radiative Transfer Model," Appl. Opt. 37, 2615-2623 (1998)