Abstract

A physical-optics (PO) solution to the three-dimensional problem of dipole radiation over an arbitrary-angled wedge is presented. The medium beneath each face of the wedge is nonmagnetic, lossy, and not necessarily the same for both faces. Excitation is provided by an electric dipole that is parallel to the edge of the wedge. The analytical formulation is based on the Stratton-Chu formula. The electromagnetic (EM) field due to a horizontal electric dipole over a lossy half-space is used on the faces and a charge distribution along the edge is introduced to account for the discontinuity of the EM field across the edge. The integral expression for the electric-field intensity far from the edge is evaluated asymptotically, thus resulting in a formula that is uniformly valid. The validity of this edge-corrected PO solution is established through a reciprocity check and comparisons with other solutions.

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