- Turkish Journal of Physics
- Vol: 22 Issue: 6
- The Milne and the Constant Source Problems for the FBIS Kernel
The Milne and the Constant Source Problems for the FBIS Kernel
Authors : M. Ç. Güleçyüz And A. Kaşkaş
Pages : 461-468
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Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Turk. J. Phys., 22, (1998), 461-468. Full text: pdf Other articles published in the same issue: Turk. J. Phys., vol.22, iss.6.