Half-Space Neutron Transport with Linearly Anisotropic Scattering
- 1 December 1965
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 6 (12) , 1939-1945
- https://doi.org/10.1063/1.1704744
Abstract
The method developed by Case is used to solve four time‐independent, one‐speed problems for neutron transport in a homogeneous medium where the scattering function is linear in the cosine of the scattering angle. The solutions to the albedo, Milne, Green's function, and constant isotropic source problems for a half‐space are facilitated by the use of half‐range bi‐orthogonality relations between the eigenfunctions of the homogeneous transport equation. Expressions are also derived for the emerging angular densities and the densities and net currents on the surface of the half‐space.Keywords
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