Eigenvalues for ridged and other waveguides containing corners of angle 3π/2 or 2π by the finite element method

Author

Schiff, B.

Author_Institution

Sch. of Math. Sci., Tel Aviv Univ., Israel

Volume

39

Issue

6

fYear

1991

fDate

6/1/1991 12:00:00 AM

Firstpage

1034

Lastpage

1039

Abstract

Superelements developed to enable the finite-element method to be used for computing eigenvalues of the Laplacian over domains containing reentrant corners of angle 3π/2 or 2π are discussed. The superelements embody mesh refinement and include basis functions which emulate the singular behavior of the solution at the corner. Being compatible with linear or bilinear elements, the superelements are easily incorporated into standard finite element programs. The method which has been used to compute transverse electric (TE) and transverse magnetic (TM) mode eigenvalues for ridges and other waveguides is described. The results agree well with those obtained using various other methods

Keywords

eigenvalues and eigenfunctions; finite element analysis; waveguide theory; FEM; Laplacian over domains; basis functions; eigenvalues; finite element method; mesh refinement; reentrant corners; ridges; waveguides; Eigenvalues and eigenfunctions; Elasticity; Finite element methods; Laplace equations; Microwave circuits; Microwave devices; Microwave propagation; Shape; Tellurium; Waveguide theory;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.81677

Filename

81677