A two-stream radiative transfer model is used to derive expressions for the multiple-scattered transmitted flux (including single-scattering contributions) and the total effective average photon path length on transmission of a normally incident plane-parallel beam on a homogeneous layer characterized by the optical depth, the single-scattering albedo, and the asymmetry parameter of the scatterers. The results are simple analytical expressions that are useful for modifying the Beer—Lambert transmission law for a thick scattering medium in which the multiple-scattering contribution to the transmission is not negligible.
© 1995 Optical Society of America
Avishai Ben-David, "Multiple-scattering transmission and an effective average photon path length of a plane-parallel beam in a homogeneous medium," Appl. Opt. 34, 2802-2810 (1995)