Scattering by a dielectric wedge: A numerical solution

A numerical method is presented for the scattering by a general penetrable wedge. A set of coupled integral equations may be forumlated from Maxwell´s equations, Green´s theorem, and boundary conditions. The numerical solutions to the unknown surface fields on the boundary are first obtained by flat-pulse expansion for the fields near the tip and physical optics fields away from the tip and then point matching. Results are presented for a right-angled lossless dielectric wedge illuminated by a TE incident plane wave. The analysis should prove useful for extending the ability of GTD methods to handle dielectric wedge tips.