The Wiener-Hopf Formulation of the Penetrable Wedge Problem. Part III: The Skew Incidence Case

Abstract

Earlier works obtained the semi-analytical solution of the generalized Wiener-Hopf equations that formulate the diffraction of a plane wave by a dielectric wedge at normal incidence. This solution permits the separating, recognizing, and understanding of the different components of the dielectric wedge field: reflected and refracted plane waves, surface waves, lateral waves, diffraction coefficients. This article considers the general case of a plane wave impinging on an arbitrary penetrable wedge at skew incidence. Comparing previous findings with the skew incident case, no new conceptual and numerical difficulties are present. However, the involved algebraic manipulations become very cumbersome, and to handle them, the MATHEMATICA (Wolfram Research, Inc., Champaign, Illinois, USA) computer program was used.