1 January 1998 Exact description of photon migration in isotropically scattering media
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An integral equation for the probability density of the photon migration is constructed. The medium is assumed to be infinite and scatter photons isotropically. The solution is found as an expansion over the number of scatterings. The series occurs to converge rapidly suppose the travel time is fixed. The diffusion approximation is obtained from the integral equation in the limit of large travel time t and distance r such that r << t. It is shown that the probability density tends to infinity near the front. The density calculated is compared with the diffusion limit and the results of a method using path integrals. The latter results appear to be generally poorer than the diffusion theory ones, especially near the front.
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Viktor N. Fomenko, Viktor N. Fomenko, Filipp M. Shvarts, Filipp M. Shvarts, } "Exact description of photon migration in isotropically scattering media", Proc. SPIE 3194, Photon Propagation in Tissues III, (1 January 1998); doi: 10.1117/12.301072; https://doi.org/10.1117/12.301072

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