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Inverse radiation problem in one-dimensional semitransparent plane-parallel media with opaque and specularly reflecting boundaries

Authors
Journal
Journal of Quantitative Spectroscopy and Radiative Transfer
0022-4073
Publisher
Elsevier
Publication Date
Volume
64
Issue
4
Identifiers
DOI: 10.1016/s0022-4073(99)00127-2

Abstract

Abstract The discrete ordinates method is used to develop a solution to an inverse radiation problem of source term in one-dimensional semitransparent plane-parallel media with opaque and specularly reflecting boundaries. It is assumed that, with the exception of the inhomogeneous source term, all aspects of the radiation transport problem are known. A method is developed to determine the inhomogeneous source term from specified incident radiation intensities on the boundaries. The inverse problem is solved using conjugate gradient method that minimizes the error between the incident radiation intensities calculated and the experimental data. The effects of single-scattering albedo, scattering asymmetry parameter, wall emissivity, the diffuse fraction of reflectivity, and the optical thickness on the accuracy of the inverse analyses are investigated. The results show that the source term can be estimated accurately, even with noisy data.

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