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Radiative transfer for a cylindrical beam scattered isotropically
Authors:P. Beckett  P.J. Foster  V. Hutson  R.L. Moss
Affiliation:1. Department of Applied Mathematics, University of Hull, USA;2. Department of Chemical Engineering and Fuel Technology, University of Sheffield, USA;3. Department of Applied Mathematics and Computing Science, University of Sheffield, USA
Abstract:Radiation intensities in an isotropically scattering slab irradiated by a cylindrical beam have been obtained by numerical solution of the radiative transport equation in two dimensions. In contrast to the usual one-dimensional solutions, solutions to the two-dimensional case provide a basis for the use of a narrow diagnostic beam to examine optically-thick media. It is shown that measurements of the intensity of radiation scattered from a narrow beam in an optically-thick slab, as well as of the transmitted beam, can be used to deduce the albedo and the optical thickness.
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