INVERSE THERMAL MODELING USING TLM

Transmission line matrix (TLM) is a discrete numerical time-domain mod eling technique that can frequently be reduced to a closed-form soluti on of the diffusion equation. In many cases the inverse operation of t he TLM method is hampered by the imbalance between the number of avail able equations and the number of unknowns. This article outlines the n ature of the problem for Gaussian temperature profiles and shows how s imple optimization can be used to obtain initial or early-time thermal information.