Scattering of atoms by a stationary periodically rough hard wall in (n+1) dimensions

Abstract
A rigorous treatment of the scattering of atoms by a stationary periodic hard wall in (n+1) dimensions is presented using the T-matrix approach. The normalized Fourier expansion of the surface field used in this formalism is shown to be computationally superior to the GR method of Garcia and the technique used by Goodman. This improvement comes because the surface field representation used here allows one to bypass the restrictions of the Rayleigh hypothesis.