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Photon path-length distributions for transmission through optically turbid slabs.

A discrete stochastic model is used to derive analytic expressions for various quantities relating to photon transport through an optically turbid slab. Several theoretical predictions, including those of the distributions of total path length, diffuse surface reemissions, and time-resolved point intensities, are examined by comparison with Monte Carlo simulations of a continuous-random-walk model of photon migration through a semi-infinite medium of finite thickness