Inverse Reconstruction of Path-Length κ-Distribution in a Plane-Parallel Radiative Medium

Abstract

An inverse methodology is used to reconstruct the absorption coefficient distribution in a plane-parallel, absorbing–emitting medium with gray-diffuse walls, from the knowledge of exit intensity over the walls. The discrete transfer and conjugate gradient methods, respectively, are used to solve the direct and inverse problems. The sensitivity problem is solved by an efficient approach. The results show that the absorption coefficient distribution can be recovered well even for noisy data.