The Order of Neutron-Scattering Method in Plane Geometry—One-Velocity Problems

An explicit formulation of the one-velocity order of scattering method for neutrons is developed assuming plane geometry and anisotropic scattering. Calculations for the half-space albedo problem based on this method were performed for isotropic scattering and were checked against known results. Further numerical studies of reflection and transmission of slabs yield detailed information about the order of scattering needed for a desired accuracy and for given thickness and absorption of the slab. For slab thickness up to one mean-free-path eighth order of scattering is shown to yield deviations from exact values of <1%.