The inverse blackbody radiation problem: A regularization solution

Abstract

The inverse blackbody radiation problem is the problem of determining the temperature distribution of a thermal radiator given its total radiated power spectum. Although several inversion methods have been developed, they have problems in practical implementation because of the necessity of Laplace inversion or due to their inherent ill-posedness. Here a numerical implementation which addresses these problems using Tikhonov’s regularization technique is demonstrated. This method overcomes the problem of ill-posedness in practical implementations and yet yields accurate results. Examples shown here include a robust reconstruction in the presence of noise corrupted data.