A generalized uniform geometrical theory of diffraction ray solution for the diffraction by a wedge with convex faces

Abstract

An approximate asymptotic high‐frequency solution is obtained for the electromagnetic wave diffraction by a wedge with convex faces and a moderate wedge angle. The present solution properly includes the edge‐excited surface ray effect and can predict the transition between the space ray and the surface ray. This solution is uniform across the various ray shadow boundaries even when the transition regions associated with these ray shadow boundaries overlap and is expressed in the simple format of the geometrical theory of diffraction. The ansatz for the present solution is based on a uniform solution for the scattering from a curved screen obtained earlier by C.W. Chuang and M.C. Liang, used in conjunction with an asymptotic matching technique. Numerical results based on the present uniform geometrical theory of diffraction solution are found to be in excellent agreement with those based on an independent moment method solution of the exact integral equation.

Hybrid Computational Techniques: Electromagnetic Propagation Analysis in Complex Indoor Environments

“…To solve these problems, uniform solutions to the asymptotic expressions were used. The first one is the uniform theory of diffraction (UTD) developed by Kouyoumjian and Pathak [30] from the asymptotic expansion by Pauli Clemmow [31], whereas the second one is the uniform asymptotic solution (UAT) obtained by Lee and Deschamps [32]. The UAT obtains the fields by removing two terms with infinite values at the shadow borders, while the UTD is numerically easier to be implemented.…”

Transverse magnetic scattering from a composite semielliptic cylinder

“…Combined field integral equation (CFIE)-remedying the internal resonance problem has also been applied to twoand three-dimensional junction [Putnam and Medgyesi-Mitshcang, 1991]. The uniform geometrical theory of diffraction (UTD) solutions from an edge in a convex conducting body were also studied for a high-frequency regime [Kim and Myung, 1993;Liang et al, 1996].…”