30 December 1998 Exact description of the photon migration in anisotropically scattering media
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The aim of the present paper is to deliver a method for exact calculation of the probability of the photon migration in infinite and homogeneous medium scattering photons anisotropically. The phase function is represented as an expansion over spherical harmonics. The migration probability is obtained as an expansion with respect to the number of scatterings, the coefficients being dependent on the ratio distance/time and can be easily calculated from recurrence relations. Up to 30 scatterings are taken into account when computing the migration probabilities, the number of effectively contributing scatterings being essentially dependent on the distance-to-time ratio decreasing when approaching the propagation front. The essential property of the method is its capability to exactly describe migration from the first transmitted photons up to the diffusive ones. The limits of the approximate description of anisotropic scattering as isotropic one with an effective value of the scattering coefficient is analyzed by calculating the best-fit value of the scattering coefficient. The present method is a natural generalization of the earlier suggested theory of photon migration with isotropic scattering.
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Viktor N. Fomenko, Viktor N. Fomenko, Filipp M. Shvarts, Filipp M. Shvarts, Michael A. Shvarts, Michael A. Shvarts, } "Exact description of the photon migration in anisotropically scattering media", Proc. SPIE 3566, Photon Propagation in Tissues IV, (30 December 1998); doi: 10.1117/12.334377; https://doi.org/10.1117/12.334377

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