A numerical study of the separation wavenumber in the two-scale scattering approximation

The choice of the separation wavenumber Kd for the two-scale scattering approximation is examined by the comparison of two-scale calculations with exact numerical solutions using the moment method. It was found that the optimal choice of Kd is near k/2 when attempting to optimize for all incidence angles. When optimizing for specific incidence angles, Kd varied from k/5 at low incidence angles to just below k at higher incidence angles. These numerical results are in rough agreement with previous theoretical derivations of the separation wavenumber.