The Milne and the Constant Source Problems for the FBIS Kernel

GÜLEÇYÜZ M. Ç., Kaşkaş A.

Turkish Journal of Physics, vol.22, no.6, pp.461-468, 1998 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 6
  • Publication Date: 1998
  • Journal Name: Turkish Journal of Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.461-468
  • Ankara University Affiliated: Yes


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.