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Exact solution of the transport equation in finite media with a plane and uniform point source and flux normally incident at the faces from outside

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Abstract

In this paper we apply the Wiener-Hopf technique combined with the method of the Laplace transform, to derive an exact solution of the transport equation for neutron diffusion in an isotropically scattering plane-parallel medium of finite thickness in which are situated a plane source at the middle and a uniformly distributed point source, there being flux of beams normally incident from outside on the two extreme parallel surfaces of the medium.

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Authors and Affiliations

  1. Department of Mathematics, North Bengal University, West Bengal, India

    S. Bishnu & S. R. Das Gupta

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  1. S. Bishnu
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  2. S. R. Das Gupta
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Bishnu, S., Das Gupta, S.R. Exact solution of the transport equation in finite media with a plane and uniform point source and flux normally incident at the faces from outside. Astrophys Space Sci 176, 217–262 (1991). https://doi.org/10.1007/BF00646699

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  • DOI: https://doi.org/10.1007/BF00646699

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