Restitution of the Temperature Field Inside a Cylinder of Semitransparent Dense Medium From Directional Intensity Data

Abstract

The purpose of this paper is to obtain the temperature field inside a cylinder filled in with a dense nonscattering semitransparent medium from directional intensity data by solving the inverse radiative transfer equation. This equation is solved in a first approach with the help of a discrete scheme, and the solution is then exactly obtained by separating the physical set on two disjoint domains on. which a Laplace transform is applied, followed by the resolution of a first kind Fredholm equation