Simultaneous estimation of extinction coefficient distribution, scattering albedo and phase function of a two-dimensional medium

摘要

In this work, we develop a scheme based on solving the general integro-differential equation of radiation transport to estimate simultaneously the distribution of the extinction coefficient, the scattering albedo and the phase function of a two-dimensional inhomogeneous medium with less diffusive radiation. The forward problem for a cylindrical me- dium subjected to collimated incident radiation is solved by the discrete-ordinate method. The inverse radiation problem is formulated as a least square problem that minimizes the discrepancy between the measured and the cal- culated leaving radiative fluxes. The Levenberg-Marquardt algorithm is applied to the least square problems for a variety of cases.