A new edge element analysis of dispersive waveguiding structures

Author

Tan, Jilin ; Pan, Guangwen

Author_Institution

Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA

Volume

43

Issue

11

fYear

1995

fDate

11/1/1995 12:00:00 AM

Firstpage

2600

Lastpage

2607

Abstract

A new functional is rigorously selected for the edge element method to solve the 2-D¹/₂ guided wave problems. The variational formulation is derived from the vector wave equation without any assumption or simplifications, and therefore the formulation is the full-wave analysis. Moderate to heavy ohmic loss and dielectric loss are taken into account in a natural and consistent manner. As a result, finite cross-section of arbitrary shape and finite conductivity can be handled without imposing the impedance boundary condition (IBC). The DEC may no longer be held for high-speed microelectronics applications, where the cross-section dimension may have been in the same order of the skin depths of some frequency components. The propagation modes are obtained by solving the large scale generalized eigenvalue and eigenvector equations employing the subspace iteration method. The spurious modes are totally suppressed in the whole frequency range of interest. Numerical examples of dielectric waveguides and microstrip transmission lines with finite conductivity are conducted

Keywords

boundary-elements methods; dielectric waveguides; dispersion (wave); eigenvalues and eigenfunctions; electromagnetic wave propagation; iterative methods; microstrip lines; skin effect; variational techniques; waveguide theory; 2-D¹/₂ guided wave problems; arbitrary shape; dielectric loss; dielectric waveguide; dispersive waveguiding structures; edge element analysis; eigenvalue equations; eigenvector equations; finite conductivity; finite cross-section; full-wave analysis; high-speed microelectronics; microstrip transmission lines; ohmic loss; propagation modes; skin depths; spurious mode suppression; subspace iteration method; variational formulation; vector wave equation; Boundary conditions; Conductivity; Dielectric losses; Dispersion; Frequency; Impedance; Microelectronics; Partial differential equations; Shape; Skin;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.473184

Filename

473184