Eigenvalue solutions of the propagation constants of periodically loaded waveguides

Author

Cheng, Jui-Ching

Author_Institution

Dept. of Electron. Eng., Chang Gung Univ., Taoyuan

fYear

2006

fDate

9-14 July 2006

Firstpage

1207

Lastpage

1210

Abstract

In this paper, a new method of finding the propagation constants of one-dimensional periodic structures are presented. This technique places perfect electric conductors (PEC) on the two boundaries of one period of the structure. By formulating the one-period structure in MoM, a generalized eigenvalue problem is derived. The dimension of the matrix is the number of the basis functions on one boundary only and is much smaller then in FEM. This reduces the cost of solving the generalized eigenvalue problem significantly. The Green´s functions of the one-period structure needed in the MoM formulation are generated by FEM. Therefore, the geometry and the material inside the structure can be arbitrary

Keywords

Green´s function methods; conductors (electric); eigenvalues and eigenfunctions; finite element analysis; matrix algebra; method of moments; waveguide theory; FEM; Green functions; MoM; basis functions; eigenvalue solutions; generalized eigenvalue problem; one-dimensional periodic structures; perfect electric conductors; periodically loaded waveguides; propagation constants; Eigenvalues and eigenfunctions; Equations; Loaded waveguides; Magnetic analysis; Magnetic fields; Matrices; Matrix decomposition; Periodic structures; Propagation constant; Transmission line matrix methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium 2006, IEEE

Conference_Location

Albuquerque, NM

Print_ISBN

1-4244-0123-2

Type

conf

DOI

10.1109/APS.2006.1710757

Filename

1710757