Sequential solution of a three-dimensional inverse radiation problem

A three-dimensional inverse radiation problem is solved sequentially using an extended Kalman filter, where the time-varying strength of a heat source is determined from temperature measurements in the participating media. By employing the Karhunen–Loeve Galerkin procedure that reduces the set of governing equations composed of the radiative transfer equation and heat conduction equation to a small set of ordinary differential equations, the computational difficulties associated with the Kalman filtering for the integro-differential equation are overcome. The present technique allows a real-time implementation of the sequential identification of radiation field in participating media.