We present an analytical technique that solves exactly, and in closed form, for the first and second moments of the spatial and angular positions of photon distributions in a multiple-scattering medium. The analysis leads to simple analytic expressions for these moments, both conditioned on the number of scatterings and summed over all scattering events. The conventional results for small-angle forward scattering, and for the diffusion regime, are recovered in the appropriate limiting cases.
© 1995 Optical Society of America
Original Manuscript: September 26, 1994
Revised Manuscript: June 14, 1995
Published: October 20, 1995
Richard F. Lutomirski, Anthony P. Ciervo, and Gainford J. Hall, "Moments of multiple scattering," Appl. Opt. 34, 7125-7136 (1995)