Plane Wave Diffraction by a 90° Wedge Coated by Metamaterial Slabs: A Uniform Asymptotic Solution in the Case of Normal Incidence

Abstract

This paper is relevant to the diffraction problem concerning a right-angled perfectly conducting wedge, which is coated by a single lossy metamaterial layer. A uniform asymptotic solution is supplied in the case of TMz plane waves at normal incidence with respect to the edge. It is obtained in the framework of the uniform theory of diffraction by means of an analytical procedure, which starts from the far-field radiation integral using electric and magnetic surface currents expressed under the physical optics approximation. The proposed solution is user-friendly since it is expressed in closed form. It contains the geometrical optics response of the structure and the transition function of the uniform theory of diffraction.