On Multiregion Problems in Plane Geometry and the Use of Half-Range Orthogonality Relations
- 1 January 1978
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 65 (1) , 191-196
- https://doi.org/10.13182/NSE78-A27144
Abstract
A general systematic method to reduce multiregion problems in plane geometry to regular integral equations for the coefficients of singular-eigenfunction expansions is proposed. The method is based on the half-range orthogonality relations of the eigenfunctions and is applicable in two-groups as well as one-group theory. The method is used to solve two problems in one-group theory for isotropic scattering: the Milne problem for a half-space bounded by a slab of dissimilar medium and a problem of neutron transmission through two slabs. Numerical results are reported for several sets of parameters.Keywords
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