NUMERICAL INVESTIGATION OF THE INVERSE BLACKBODY RADIATION PROBLEM

A numerical algorithm for the inverse blackbody radiation problem, whi ch is the determination of the temperature distribution of a thermal r adiator (TDTR) from its total radiated power spectrum (TRPS), is prese nted, based on the general theory of amplitude-phase retrieval. With a pplication of this new algorithm, the ill-posed nature of the Fredholm equation of the first kind can be largely overcome and a convergent s olution to high accuracy can be obtained. By incorporation of the hybr id input-output algorithm into our algorithm, the convergent process c an be substantially expedited and the stagnation problem of the soluti on can be averted. From model calculations it is found that the new al gorithm can also provide a robust reconstruction of the TDTR from the noise-corrupted data of the TRPS. Therefore the new algorithm may offe r a useful approach to solving the ill-posed inverse problem.