Lattice random walk modeling of photon migration in turbid media

A lattice random walk model based on walkers wandering on discrete lattice of scattering space by discrete spatial and temporal step is presented. The discrete Green's function for infinite homogeneous turbid medium deduced by inductive method from the lattice random walk model is used with the method of images to describe the photon density distribution in two dimensional semi-infinite and finite slab homogenous turbid media such as tissue. The scattering matrix and linking matrix of the lattice random walk are obtained to describe the scattering and absorption processes in homogeneous and inhomogeneous turbid media. All the results obey the principle of causality.

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