Analytical approach for solving the radiative transfer equation in two-dimensional layered media

This study presents an analytical approach for obtaining Green's function of the two-dimensional radiative transfer equation to the boundary-value problem of a layered medium. A conventional Fourier transform and a modified Fourier series which is defined in a rotated reference frame are applied to derive an analytical solution of the radiance in the transformed space. The Monte Carlo method was used for a successful validation of the derived solutions.

► Analytical solution of the radiative transfer equation for two-dimensional layered media. ► The required numerical part for evaluation of the derived solution is reduced to a minimum. ► The presented method is transferable to the three-dimensional layered medium.