Anisotropic effects in highly scattering media

Abstract

In this paper, we study anisotropic scattering and light propagation models applicable to diffuse optical tomography. We propose a model for anisotropic scattering in the radiative transfer framework and derive the corresponding anisotropic diffusion model. To verify the anisotropic diffusion model, we consider the case of a simple anisotropic scattering model also presentable within the diffusion approximation. For numerical computations, we present a three-dimensional (3D) anisotropic Monte Carlo model and 2D finite element and boundary element solutions of the anisotropic diffusion model, and compare the results of the simulations.

Hybrid model of light propagation in random media based on the time-dependent radiative transfer and diffusion equations

“…Alternative models for the accurate and efficient calculation of light propagation have also been proposed [9,10,11,12,13,14], and among these a hybrid model based on the RTE and DE is one of the most promising approaches. Tarvanien et al have proposed the hybrid model in frequency domain [10,11,12], and Gorpas et al have applied this model to fluorescence imaging [13,14].…”

The radiative transport equation in flatland with separation of variables

“…Using the above Λ(z) and λ(ν), we can calculate N (ν) in (7). We note that M = 1 and the positive root ν 0 such that Λ(ν 0 ) = 0 is given in (20).…”

“…Such flatland transport equations appear, for example, in wave scattering in the marginal ice zone 27 and wave transport along a surface with random impedance 5 . Sometimes optical tomography is considered in flatland 2,19,20,25,46 .…”

Level Set Techniques For Structural Inversion In Medical Imaging

“…(See, for example, [33,34] for possible choices.) The parameter γ in (70) is the mean cosine of the scattering function.…”