DEVELOPMENT OF ASYMPTOTIC HIGH‐FREQUENCY SOLUTIONS TO SOME CANONICAL PROBLEMS

This chapter is devoted to the development of asymptotic high‐frequency solutions to a set of canonical problems. These canonical solutions can be cast in a ray format at high frequencies thereby providing a useful physical picture for the mechanisms of radiation, scattering, and diffraction in terms of geometrical optics and diffracted rays. An analysis of the phenomena of surface, leaky and lateral waves is useful in applications to the areas of antennas and electromagnetic (EM) wave propagation. UTD solutions will be obtained for some scalar and EM vector problems of diffraction by a wedge. The chapter provides the development of a UTD solution for scattering by a canonical 2‐D PEC circular cylinder and its generalization to a convex cylinder. It discusses the waves supported by planar material boundaries, and analyzes the 2‐D problem of an electric line source excitation of a planar material slab on a PEC ground plane.