Multiple scattering corrections to the Beer-Lambert law are analyzed by means of a rigorous small-angle solution to the radiative transfer equation. Transmission functions for predicting the received radiant power—a directly measured quantity in contrast to the spectral radiance in the Beer-Lambert law—are derived. Numerical algorithms and results relating to the multiple scattering effects for laser propagation in fog, cloud, and rain are presented.
© 1982 Optical Society of America
Original Manuscript: February 4, 1980
Published: July 1, 1982
W. G. Tam and A. Zardecki, "Multiple scattering corrections to the Beer-Lambert law. 1: Open detector," Appl. Opt. 21, 2405-2412 (1982)