Diffraction of Acoustic and Electromagnetic Waves by Impedance Cones

Abstract

This paper deals with a canonical problem in the theory of diffraction, namely, diffraction of acoustic and electromagnetic waves by impedance cones. The method can be applied in general for acoustic potential or Debye potentials in electromagnetics satisfying the Helmnoltz equation. This paper will be centred on a more demanding case, i.e., diffraction of an electromagnetic plane wave by an axially anisotropic impedance cone. The diffraction coefficients of such an impedance cone in the so-called oasis, that is, domain where only a spherical wave beside the incident plane wave exists, will be determined in an analytical-numerical way.