Scattering of an incident Gaussian beam by a perfectly conducting rough surface

The modifications of the regular full wave theory for rough surface scattering by an incident Gaussian beam instead of a plane wave are developed. The Gaussian beam is produced by a large circular aperture that has a Gaussian illumination. It is shown that provided the incident Gaussian beam has a plane phase front over the extent of the rough surface patch and the linear dimensions of the rough patch are large compared with the surface height correlation length, the normalized scattering cross-section is the same as for an incident plane wave. >