Exact description of photon migration in isotropically scattering media

Viktor N. Fomenko; Filipp M. Shvarts

doi:10.1117/12.301072

1 January 1998 Exact description of photon migration in isotropically scattering media

Viktor N. Fomenko, Filipp M. Shvarts

Proceedings Volume 3194, Photon Propagation in Tissues III; (1998) https://doi.org/10.1117/12.301072
Event: BiOS Europe '97, 1997, San Remo, Italy

Abstract

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.

Citation Download Citation

Viktor N. Fomenko and Filipp M. Shvarts "Exact description of photon migration in isotropically scattering media", Proc. SPIE 3194, Photon Propagation in Tissues III, (1 January 1998); https://doi.org/10.1117/12.301072

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