Diffraction by a Right-Angled Second Order Impedance Wedge

By using a second order generalized impedance boundary condition to model the effect of a thin dielectric coating, the problem of a plane wave incident on a coated right-angled wedge is considered. The solution is derived using an extension of Maliuzhinets' method in which a key role is played by the particular solution of the difference equation for the spectral function. It is verified that the field satisfies the reciprocity and edge conditions, and the diffracted, geometrical optics and surface wave contributions are determined.