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Discrete Green's Function for Lattice Random Walk
Authors:REN Hongwu  FANG Zhujie
Abstract:A lattice random walk model based on particles scattering on discrete lattice of homogenous space is introduced. The discrete Green's function (DFG) for two dimensional and three dimensional lattice random walk of photon is found and proved by mathematical induction. The convolution theorem of photon lattice random walk is presented. They can be used with the method of images to calculate the photon density distribution in semi infinite and finite slab homogenous turbid media such as tissue.
Keywords:biomedical optics  photon migration  lattice random walk model  discrete Green's function (DGF)
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