The objective of this paper is to review recent developments in numerical reconstruction
methods for inverse transport problems in imaging applications, mainly optical tomography …

The dependent scattering effect (DSE), which arises from the wave nature of
electromagnetic radiation, is a critical mechanism affecting the radiative properties of …

Optical tomography consists of reconstructing the spatial distribution of absorption and
scattering properties of a medium from surface measurements of transmitted light intensities …

A Monte Carlo method based on tracing the multiply scattered electric field is presented to
simulate the propagation of polarized light in turbid media. Multiple scattering of light …

We present a novel approach to solving Chandrasekhar's problem in radiative transfer using
the recently developed Theory of Functional Connections. The method is designed to …

The radiative transfer equation (RTE) occurs in a wide variety of applications. In this paper,
we study discrete-ordinate discontinuous Galerkin methods for solving the RTE. The …

Numerical solutions to the radiative transfer equation are typically computationally
expensive. The large expense arises because the solution has a high dimensionality with …

Topological derivative methods are used to solve constrained optimization reformulations of
inverse scattering problems. The constraints take the form of Helmholtz or elasticity …

In this paper, the Chebyshev collocation spectral method for one-dimensional radiative heat
transfer equation with participating media is presented; and sequentially the iterative and …

In this paper, we introduce a radial basis function collocation method for computing solutions
to the time-dependent radiative transfer equation. For these computations, we use finite …