Turkish Journal of Physics
DOI
-
Abstract
Transport solutions to the monoenergetic constant source and the Milne problems for the forward-backward-isotropic scattering (FBIS) kernel are obtained by method of singular expansion modes. The monoenergetic linear transport equation for extremely anisotropic scattering with constant source is reduced to a transport equation with isotropic scattering. The expansion coefficient is obtained in a form involving exact integral equations and determined by the accompanying new boundary conditions and the half-range orthogonality relations. In the zeroth order approximation, the analytical expressions for neutron density and the emergent angular distributions are also obtained as a function of forward scattering.
First Page
461
Last Page
468
Recommended Citation
GÜLEÇYÜZ, M.Ç .. and KAŞKAŞ, A. (1998) "The Milne and the Constant Source Problems for the FBIS Kernel," Turkish Journal of Physics: Vol. 22: No. 6, Article 2. Available at: https://journals.tubitak.gov.tr/physics/vol22/iss6/2
