Spectral representation of self-adjoint problems for layered anisotropic waveguides

Author

Paiva, Carlos R. ; Barbosa, Afonso M.

Author_Institution

Dept. de Engenheria Electrotech. e de Computadores, Univ. Tenica de Lisboa, Portugal

Volume

39

Issue

2

fYear

1991

fDate

2/1/1991 12:00:00 AM

Firstpage

330

Lastpage

338

Abstract

Layered waveguides with lossless anisotropic layers in the polar configuration are analyzed through the unifying concept of a real self-adjoint operator. For a suitable definition of two-vector transverse eigenfunctions, general properties such as orthogonality and completeness relations are derived. The linear operator formalism is applied to closed waveguides inhomogeneously filled with anisotropic materials, including crystals and gyrotropic media. As an extension of the former theory to open waveguides, a grounded uniaxial dielectric slab with a coplanar optic axis is also analyzed: as for open isotropic waveguides, a complete spectral representation including the surface (proper eigenfunctions) and the pseudosurface modes (improper eigenfunctions) is presented

Keywords

eigenvalues and eigenfunctions; waveguide theory; anisotropic material filling; closed waveguides; completeness relations; coplanar optic axis; crystals; grounded uniaxial dielectric slab; gyrotropic media; improper eigenfunctions; layered anisotropic waveguides; linear operator formalism; lossless anisotropic layers; open waveguides; orthogonality; polar configuration; proper eigenfunctions; pseudosurface modes; self-adjoint problems; spectral representation; surface modes; two-vector transverse eigenfunctions; Anisotropic magnetoresistance; Coplanar waveguides; Crystals; Dielectrics; Eigenvalues and eigenfunctions; Gyrotropism; Nonhomogeneous media; Optical waveguide theory; Optical waveguides; Slabs;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.102978

Filename

102978