Scattering from a wedge with cavity backed apertures in its faces and related configurations: TE case

The scattering of a TE polarised wave from a perfectly conducting wedge with irregular inclusions in its faces is analysed. These inclusions consist of cavity backed apertures, located at an arbitrary distance from the edge of the wedge. The cavities may be irregularly shaped and filled with inhomogeneous dielectric materials. By resorting to a particular formulation of the equivalence principle, which implies covering the apertures with metallic plates, the original issue is divided into an exterior problem (perfectly conducting wedge) and a number of interior problems equal to that of the apertures. The exterior canonical problem is formulated by exploiting the exact perfectly conducting wedge Green´s function or its asymptotic approximation. The more involved interior problems are treated by employing the finite element method. The solutions are then joined by enforcing the continuity condition of the fields at each aperture opening. The problem of nonphysical interior resonances is addressed. Numerical results are presented to demonstrate the applicability of the technique