Abstract

Abstract : Closed form expressions for nonuniform currents on a perfectly conducting, infinite wedge illuminated by transverse electric plane wave are presented. These expressions are derived by requiring that they coincide with the current predicted by the asymptotic diffraction theory far from the edge and, further, that they agree with the current predicted by the eigenfunction solution at the edge. The angle of incidence is arbitrary and our expressions remain valid even for glancing angles of incidence when either one or both faces of the wedge is in the vicinity of a Geometric optic boundary. Formulas presented here are simple involving the well known modified Fresnel functions but are not uniform. Exact expressions for non-uniform currents are available for the two special cases of half plane and infinite plane. For these special cases, our solution reduces to the exact solution. Currents computed using the expressions developed here are compare with currents computed from the eigenfunction solution of the wedge. Good agreement is obtained throughout. (Author)

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