On the anisotropy of a heterogeneous medium with respect to the diffusion of neutrons I

Abstract

Equations are derived for the diffusion of monoenergetic neutrons in a stratified heterogeneous medium. The neutron sources are plane and are located at infinity. The problem of homogenization and anisotropy of the heterogeneous medium is solved on the assumption of microscopic isotropy of scattering of the neutrons. The problem is solved quite generally (general position of the source, active and inactive medium). It confirms the conclusions reached in paper [3]from the more general point of view and is again in disagreement with the conclusions of paper [8].This disagreement is explained by the use of equations of the kinetic theory of the diffusion of neutrons.