Reflections, diffractions, and surface waves for an interior wedge with impedance surfaces

The exact solution for the interior impedance wedge was evaluated asymptotically to yield a geometrical theory of diffraction (GTD). The geometrical-optics terms correspond identically to simple ray-tracing results. The diffracted field is analogous to the perfectly conducting case with suitable multiplying factors to account for the lossy reflections. The surface-wave contribution and its associated transition field are included to account for complex poles of the auxiliary Maliuzhinets function. Numerical integration using an adaptive quadrature routine was used to verify the accuracy of the technique. The analysis of the interior wedge geometry extends the work of M.I. Herman and J.L. Volakis (1987) to allow the study of complex structures which may include many multiple reflections and diffractions within interior wedges.