Abstract

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

Multiple scattering corrections to the Beer-Lambert law. 2: Detector with a variable field of view

A. Zardecki and W. G. Tam
Appl. Opt. 21(13) 2413-2420 (1982)

Correction to the Beer-Lambert-Bouguer law for optical absorption

Haim Abitan, Henrik Bohr, and Preben Buchhave
Appl. Opt. 47(29) 5354-5357 (2008)

Gaps of free-space optics beams with the Beer-Lambert law

Bernard Lacaze
Appl. Opt. 48(14) 2702-2706 (2009)

Forward multiple scattering corrections as a function of detector field of view

Andrew Zardecki and Adarsh Deepak
Appl. Opt. 22(19) 2970-2976 (1983)

Significance of higher-order multiple scattering for laser beam propagation through hazes, fogs, and clouds

Adarsh Deepak, Usamah O. Farrukh, and Andrew Zardecki
Appl. Opt. 21(3) 439-447 (1982)