Symmetric guided waves in an isotropic inhomogeneous shielded waveguide

Abstract

The paper treats a problem of propagation of electromagnetic wave in a plane shielded dielectric waveguide. The waveguide is characterised by an isotropic inhomogeneous permittivity and constant permeability. Considered symmetric guided waves are characterized by a pair of (coupled) propagation constants. The physical problem is reduced to an eigenvalue problem for an operator pencil. A discreteness property for the sought eigenvalues is proved.