Wiener-Hopf analysis of the RCS of two, canonical parallel-plate waveguide cavities with material loading

Two diffraction problems involving two-dimensional cavities formed by a semi-infinite parallel-plate waveguide and by a finite parallel-plate waveguide are rigorously analyzed for the plane wave incidence using the Wiener-Hopf technique. It is shown that the solution for the semi-infinite case is valid for arbitrary cavity dimensions, whereas the solution for the finite case is valid for the cavity depth large compared with the wavelength. Illustrative numerical examples on the radar cross section (RCS) are presented, and the far field backscattering characteristics are compared between these two cavities.