A novel method to calculate the reflectance of light from a turbid medium is presented. The method takes an approach similar to that of the Beer–Lambert law, where the intensity of light is attenuated by an exponential factor involving the path length and the absorption coefficient. Due to scatter, however, there are many path lengths; in the present method all possible path lengths are weighted by their probabilities and summed over. A path length probability density is derived by considering a photon random walk through the medium. The result is a simple expression for the reflectance based on the physical properties of the medium.
© 2008 Optical Society of America
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