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 illposedness. Here a numerical implementation which addresses these problems using Tikhonov's regularization technique is demonstrated. This method overcomes the problem of illposedness in practical implementations and yet yields accurate results. Examples shown here include a robust reconstruction in the presence of noise corrupted data.
 Publication:

Journal of Applied Physics
 Pub Date:
 December 1987
 DOI:
 10.1063/1.339072
 Bibcode:
 1987JAP....62.4382S
 Keywords:

 Black Body Radiation;
 Fredholm Equations;
 Laplace Transformation;
 Temperature Distribution;
 Thermal Radiation;
 Inverse Scattering;
 Numerical Analysis;
 Remote Sensing;
 Physics (General)