An analysis of electromagnetic waves by a complementary finite element method

Author

Igarashi, Hajime ; Honma, Toshihisa

Author_Institution

Dept. of Electr. Eng., Hokkaido Univ., Sapporo, Japan

Volume

30

Issue

5

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

3104

Lastpage

3107

Abstract

This paper describes an analysis of electromagnetic waves in a waveguide using the finite element method based on the complementary variational principle. The vector Helmholtz equation is represented in dual forms, in which the solenoidal and irrotational transverse fields are chosen to be unknowns, and they are approximated by the edge and facet elements, respectively. The dual representations are then shown to provide the lower bounds of the eigenfrequencies of a waveguide, with the aid of the complementary variational principle

Keywords

duality (mathematics); eigenvalues and eigenfunctions; electromagnetic wave propagation; finite element analysis; variational techniques; waveguide theory; waveguides; complementary variational principle; dual forms; edge elements; eigenfrequencies; electromagnetic waves; facet elements; finite element method; irrotational transverse fields; solenoidal transverse fields; vector Helmholtz equation; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electromagnetic propagation; Electromagnetic scattering; Electromagnetic waveguides; Estimation error; Finite element methods; Maxwell equations; Tellurium; Upper bound;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.312594

Filename

312594