Scattering by a Right-Angled Penetrable Wedge: A Stable Hybrid Solution (TM Case)

Abstract

The problem of electromagnetic scattering by a dielectric wedge of interior wedge angle pi/2 has been solved by the hybrid technique combining the Method of Moments (MOM) and Geometrical Theory of Diffraction (GTD) for TM polarization. Pulse functions are used around the edge of the wedge and GTD fields are matched at a distance from the edge on both sides [1]. This substantially reduces the number of MOM current samples to be used. The variation of amplitude and phase of the surface current density has been determined for different values of parameters on both walls. The stability of the matrix solution has been tested. The behaviour of the numerical diffraction coefficient has been discussed. The solution for the scattering from a perfectly conducting wedge is obtained when the relative dielectric constant is equated to a large value (typically, 1000). The attractive feature of this method is that it calls for much less computer memory and also processing time.