The generalized Goodwin-Staton integral

The surface impedance observed by a plane TE-wave impinging on a coated right-angled perfectly conducting wedge is derived for a high contrast dissipative coating. The impedance proves to be constant ove rmost of the surface of the coating. The value of the constant agrees with that obtained when the coating is placed on an infinite perfectly conducting plane. Near the edge of the coating, however, the impedance is not invariable. Both the magnitude and phase can deviate substantially from their asymptotic values; also they change with the angle of incidence of the irradiating wave. The region of variability depends on the amount of absorption but does not exceed a free-space wavelength for the cases considered.