Effect of lateral leakage on neutron waves in polycrystalline media

Abstract

The reduced three-dimensional transport equation for neutron wave propagation is solved in the velocity-dependent case with a separable scattering kernel by the eigenfunction-expansion method. half-range orthogonalities for the eigenfunctions are derived. The former is applied to solve the transport equation in an infinite system. The full-andIn the case of a discontinuous total cross section, the contribution from the two-dimensional continuum in the spectral plane is reduced to an integral along the branch cut by applying the analytical continuation of the dispersion function. The effects of transverse buckling on the discrete and pseudo modes are examined by numerical calculations of the solution f o r beryllium and graphite.