The optical properties of films containing spherical particles in a no
nabsorbing matrix have been modeled by using a four-flux radiative tra
nsfer theory. The forward average path-length parameter takes into acc
ount the different path lengths for collimated and diffuse components
of the radiation field. This parameter, whose Value was known only in
special cases, has been used previously as a fitting quantity. We esta
blish a method for evaluating the forward average path-length paramete
r in a rigorous way. Single-scattering parameters are evaluated from t
he Lorenz-Mie theory, and multiple-scattering effects are taken into a
ccount by means of an extended Hartel's theory. (C) 1997 Optical Socie
ty of America.