INVERSE RADIATION PROBLEM FOR SIMULTANEOUS ESTIMATION OF TEMPERATURE PROFILE AND SURFACE REFLECTIVITY

A method is presented for simultaneous estimation of the unknown temperature distribution and the diffuse surface reflectivity in an absorbing, emitting, and isotropically scattering medium from the knowledge of the exit radiation intensities. The inverse radiation problem is recast as an optimization problem in finite-dimensional space and the conjugate gradient method of minimization is then used for its solution. The scheme is stable, insensitive to the initial guess, and in the absence of measurement errors the estimated solution converges to the exact result.