We consider a concise method based on recurrent relations that permit rigorous computing of the first and the second moments of the components of the vector locating a randomly walking photon in an infinite homogeneous light-scattering medium. On assumption that the components obey a three-dimensional Gaussian distribution a probability density for the photon locations at the Nth scattering event can readily be written down and the light-intensity distribution in the medium may be calculated. The results from theoretical analyses are compared with the solution of a light-diffusion equation and with results of Monte Carlo simulations and show a better fit with simulated data than the diffusion approximation.
© 1996 Optical Society of America
Vladimir G. Kolinko, Frits F. M. de Mul, Jan Greve, and Alexander V. Priezzhev, "Probabilistic model of multiple light scattering based on rigorous computation of the first and the second moments of photon coordinates," Appl. Opt. 35, 4541-4550 (1996)