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 non scattering semi-transparent 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 1 st kind Fredholm equation. NOMENCLATURE:( ) λn N n ∈ , ( ) µ n N n ∈ eigenvalues and eigenfunctions of the right kernel K D