A sparse finite element method for modeling evanescent modes in the stopband of periodic structures

Author

Bostani, A. ; Webb, J.P.

Author_Institution

Dept. of Electr. Eng., McGill Univ., Montreal, QC, Canada

fYear

2010

fDate

9-12 May 2010

Firstpage

1

Lastpage

1

Abstract

A novel approach is presented to solving an algebraic problem related to complex finite element analysis of periodic structures. This approach turns the quadratic eigenproblem with sparse and singular matrices into a standard eigenproblem of the same dimension and also exploits the sparsity of matrices which reduces the computation time enormously. An algorithm is also proposed that generates the dispersion diagram automatically.

Keywords

eigenvalues and eigenfunctions; finite element analysis; periodic structures; sparse matrices; algebraic problem; complex finite element analysis; evanescent modes; periodic structures; quadratic eigenproblem; singular matrices; sparse finite element method; sparse matrices; standard eigenproblem; stopband; Eigenvalues and eigenfunctions; Finite element methods; Frequency; Mathematical model; Microwave theory and techniques; Periodic structures; Propagation constant; Sparse matrices; Transmission line matrix methods; Transmission line theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetic Field Computation (CEFC), 2010 14th Biennial IEEE Conference on

Conference_Location

Chicago, IL

Print_ISBN

978-1-4244-7059-4

Type

conf

DOI

10.1109/CEFC.2010.5481348

Filename

5481348