The aim of this paper is to solve the diffusion equation in the case of two semi-infinite homogeneous scattering and absorbing media separated by a flat interface when a light source S is placed in one of these media. We present here a new approach which allows us to work directly in real space and to establish efficient analytical expressions for space and time resolved average intensity distributions in both media. The results obtained by this method are compared with Monte Carlo simulations. This new approach permits very efficient numerical processing, which is a decisive criterion for the study of light propagation in layered turbid media.
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