THE ONE-SPEED ALBEDO AND THE SLAB ALBEDO PROBLEMS FOR THE FBI KERNEL

TEZCAN C.

JOURNAL OF MATHEMATICAL PHYSICS, vol.32, no.1, pp.310-313, 1991 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 1
  • Publication Date: 1991
  • Doi Number: 10.1063/1.529089
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.310-313
  • Ankara University Affiliated: No

Abstract

The one-speed albedo and the slab albedo problems are studied for the forward-backward-isotropic scattering (FBIS) kernel. The method of elementary solutions is used and the expansion coefficients are obtained by solving the resulting Fredholm integral equations. The zeroth-order results for the FBIS kernel are reduced to BIS, FIS models, and also to the well-known IS model. In the limit as the slab thickness becomes infinite, the special cases for the albedo problem for the same models are also obtained.