Edge diffraction of electromagnetic waves by a composite wedge of conductor and dielectric

A rigorous formulation is suggested in solving the scattering of plane waves by a composite wedge of conductor and dielectric. This employs the Kirchhoff's integral in the physical regions and the extinction theorem in their mathematical complementary regions to make the correction of the primary approximated solutions. Calculated total field patterns scattered by the composite wedge give close results to the rigorous asymptotic field in both limits of the dielectric wedge becoming conducting one or the background free space.