Inverse Radiative Transfer Problems In Two-Layer Participating Media

Abstract

In recent years an increasing number of researchers have been investigating inverse radiative transfer problems due to its relevant applications in engineering and medicine, as well as in several areas of research and technological development. Different formulations and solution techniques have been proposed for such inverse problems. They may be formulated either explicitly or implicit, with the implicit formulations often involving the solution of optimization problems. In the present work we focus on the implicit formulation and solution of an inverse radiative transfer problem in a two-layer plane-parallel medium. For the direct problem solution we use the well known Chandrasekhar’s discrete ordinates method combined with the finite difference method, and for the solution of the inverse problem we use stochastic methods and a hybridization of such methods with a deterministic method. As experimental data we use synthetic data on the radiation intensity with dependence on the polar angle. The formulation and solution of the direct and inverse problems are presented, as well as test case results.