Evolution of the Spatial Parameters of a Light Pulse During Its Propagation in a Medium with Strongly Anisotropic Scattering

Light propagation in a two-dimensional medium with large inhomogeneities

“…In the ω-representation, the diffusion approximation is equivalent to expansion of the functionpω in powers of ωϑ 0 up to a quadratic term,pω 1 − hϑ 2 iω 2 ∕2 [16,28]. The diffusion formula (34) can be obtained from the exact solution (16) by neglecting the contribution of the continuous spectrum of eigenvalues [the integral term in Eq. (16)] and by evaluating the remainder in the limit η → ∞.…”

“…The two-parameter power-law phase function [30] is widely used to model light scattering in such media as biological tissues [31] and fractal structures [32]. In some studies of light propagation in turbid media, exponential-type phase functions (i.e., decreasing exponentially with the single-scattering angle) were used to model highly forward scattering by a single inhomogeneity (e.g., [28,33,34]). …”

“…The solid curves are the results of calculations with the exact solution(26); the dashed curves are calculated with the diffusion formula(34). For the upper and the lower (at θ 0) curves, the parameter η 10 and 100, respectively.…”