Computing solenoidal eigenmodes of the vector Helmholtz equation: a novel approach

Author

White, Daniel A. ; Koning, Joseph M.

Author_Institution

Center for Appl. Sci. Comput., Lawrence Livermore Nat. Lab., CA, USA

Volume

38

Issue

5

fYear

2002

fDate

9/1/2002 12:00:00 AM

Firstpage

3420

Lastpage

3425

Abstract

This paper presents a novel method for computing solenoidal eigenmodes and the corresponding eigenvalues of the vector Helmholtz equation. The method employs both vector and scalar finite-element basis functions to yield a discrete generalized eigenvalue problem that can be solved by standard iterative techniques. The technique is applicable for analysis of three-dimensional inhomogeneous resonant cavities

Keywords

Helmholtz equations; accelerator RF systems; cavity resonators; eigenvalues and eigenfunctions; electromagnetic field theory; finite element analysis; iterative methods; vectors; discrete generalized eigenvalue problem; eigenvalues; electromagnetic fields; iterative techniques; scalar finite-element basis functions; solenoidal eigenmode computation; three-dimensional inhomogeneous linear accelerator induction cell; three-dimensional inhomogeneous resonant cavities; vector Helmholtz equation; vector finite-element basis functions; Eigenvalues and eigenfunctions; Electromagnetic fields; Electromagnetic modeling; Finite element methods; Geometry; Iterative methods; Magnetic resonance; Null space; Partial differential equations; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2002.802734

Filename

1041957