Group theoretical approach to eigenvalue problems of symmetrical multiports with gyrotropic media

Author

Dmitriev, Victor A.

Author_Institution

UFPA, Belem, Brazil

Volume

45

Issue

9

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

895

Lastpage

903

Abstract

Eigenvalue problems of symmetrical multiports with gyrotropic media are considered. It is shown that the perturbation method known in quantum mechanics may be used for symmetrical structures with gyrotropic media in order to determine the influence of dc magnetic field on the eigenvalue degeneracy. In gyrotropic structures, an additional degeneracy may appear which is not predicted by the unitary subgroup. The eigenvalue equation for [S]-matrix in the case of magnetic groups of the third category and the problem of calculation of eigenvectors for transposed matrix are investigated. The theory is illustrated by some examples

Keywords

S-matrix theory; eigenvalues and eigenfunctions; electromagnetic devices; group theory; multiport networks; perturbation techniques; [S]-matrix; dc magnetic field; eigenvalue problems; group theoretical approach; gyrotropic media; perturbation method; symmetrical multiports; transposed matrix; Circuit theory; Eigenvalues and eigenfunctions; Electromagnetic devices; Electromagnetic scattering; Equations; Gyrotropism; Magnetic fields; Matrix decomposition; Perturbation methods; Symmetric matrices;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.721255

Filename

721255