  A propagation method for the scattering of a quantum wave packet from a
potential surface is presented. It is used to model the quantum reflection of
single atoms from a corrugated (metallic) surface. Our numerical procedure
works well in two spatial dimensions requiring only reasonable amounts of
memory and computing time. The effects of the surface corrugation on the
reflectivity are investigated via simulations with a paradigm potential. These
indicate that our approach should allow for future tests of realistic,
effective potentials obtained from theory in a quantitative comparison to
experimental data.
