Neutron Transport for Anisotropic Scattering in Adjacent Half-Spaces. I. Theory

The method of singular eigenfunction expansions is applied to time-independent one-speed problems in which there are two half-space media which scatter neutrons anisotropically. Integrals are derived which reduce the calculation of the expansion coefficients to the solution of a non-singular integral equation plus associated coupled equations. In general, none of the expansion coefficients are found in closed form.