A physical basis formulation for the electromagnetic backscattering by a finite-length rectangular trough in a ground plane

The electromagnetic backscattering from a finite-length rectangular trough in an infinite ground plane is examined. A physical basis formulation, as introduced by Richmond (1985), is used to express the unknown currents in the trough aperture in terms of a forced wave resulting from the incident plane wave, and one or more pairs of oppositely directed traveling waves propagating along the trough. A Galerkin solution is employed to solve a very small system of equations to determine the weights of the postulated aperture currents, and then radiated to compute the radar cross section (RCS). These results are then compared with a measurement of a trough in a finite ground.