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

TL;DR

This paper presents a method to reconstruct the internal temperature distribution of a dense, semitransparent medium within a cylinder using directional radiative intensity data by solving an inverse radiative transfer problem.

Contribution

It introduces a novel approach combining discrete schemes and Laplace transform techniques to solve the inverse radiative transfer equation exactly.

Findings

Successful reconstruction of temperature fields from directional intensity data.

Development of an exact solution method for the inverse radiative transfer equation.

Application of the method to dense, nonscattering semitransparent media.

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