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

Details 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 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

Feb 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.176..217b&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 176, no. 2, Feb. 1991, p. 217-262.

Astronomy and Astrophysics

Astrophysics

1

Boltzmann Transport Equation, Incident Radiation, Particle Diffusion, Point Sources, Laplace Transformation, Mathematical Models, Neutrons, Wiener Hopf Equations

Scientific paper

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 beans normally incident from outside on the two extreme parallel surfaces of the medium.

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