New biorthogonality relations for inhomogeneous biisotropic planar waveguides

Author

Topa, António L. ; Paiva, Carlos R. ; Barbosa, Afonso M.

Author_Institution

Dept. de Engenharia Electrotecnica e de Comput., Inst. Superior Tecnico, Lisbon, Portugal

Volume

42

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

629

Lastpage

634

Abstract

Using a linear operator formalism this paper presents new biorthogonality relations for the hybrid modes supported by planar waveguides inhomogeneously filled with general biisotropic media. In the special case of lossless biisotropic media, the linear operator is self-adjoint, the original and adjoint waveguides are identical and new orthogonality relations can be derived. As an example of application, the radiation modes of a grounded nonreciprocal and lossless biisotropic slab waveguide are analyzed in terms of a pair of incident transverse electric (ITE) and incident transverse magnetic (ITM) continuous modes, which have the advantage of being mutually orthogonal and of having a clear physical interpretation

Keywords

waveguide theory; adjoint waveguides; biorthogonality relations; hybrid modes; incident transverse electric continuous modes; incident transverse magnetic continuous modes; inhomogeneous biisotropic planar waveguides; linear operator formalism; lossless biisotropic media; radiation modes; slab waveguide; Eigenvalues and eigenfunctions; Electromagnetic fields; Electromagnetic waveguides; Equations; Magnetic analysis; Nonhomogeneous media; Planar waveguides; Slabs; Waveguide discontinuities; Waveguide theory;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.285069

Filename

285069