3-D electromagnetic field mode analysis using finite element method by edge element

Author

Sakiyama, K. ; Kotera, H. ; Ahagon, A.

Author_Institution

Matsushita Electr. Ind. Co. Ltd., Osaka, Japan

Volume

26

Issue

5

fYear

1990

fDate

9/1/1990 12:00:00 AM

Firstpage

1759

Lastpage

1761

Abstract

A method of calculating the 3-D electromagnetic field mode using the finite-element method is presented. A variational finite-element method is derived from edge elements which are based on the ordinary formulation of isoparametric elements. The nondivergent condition of the electric or magnetic field can be taken into account in this edge element. The proposed program can solve eigenvalue problems directly because nonphysical spurious solutions can be eliminated as zero eigenvalue modes. This method is applied to the mode analysis of a magnetron cavity resonator. The resonant frequency and eigenvector are calculated successfully

Keywords

cavity resonators; eigenvalues and eigenfunctions; electromagnetic field theory; finite element analysis; magnetrons; variational techniques; 3D analysis; edge element; eigenvalue problems; eigenvector; electric field; electromagnetic field mode analysis; isoparametric elements; magnetic field; magnetron cavity resonator; nondivergent condition; nonphysical spurious solutions; resonant frequency; variational finite-element method; zero eigenvalue modes; Cavity resonators; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electromagnetic fields; Finite element methods; Magnetic analysis; Magnetic fields; Magnetic flux; Maxwell equations; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.104515

Filename

104515