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Finite Element Analysis of 2-D Dielectric Waveguides with Helmholtz Vector Equations and Virtual Exterior Elements

Published online by Cambridge University Press:  15 February 2011

Tieyu Zheng ,
Nal-Keng Bao ,
Kin-Seng Chiang  and
Po-Sheun Chung
Tieyu Zheng
Affiliation:
GWW Mechanical Engineering School, Georgia Institute of Technology, Atlanta, GA 30332
Nal-Keng Bao
Affiliation:
Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong
Kin-Seng Chiang
Affiliation:
Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong
Po-Sheun Chung
Affiliation:
Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong
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Abstract

This paper reports a finite-element-method formulation, which is based on the Helmholtz vector equations in terms of transverse electrical field components to characterize two-dimensional dielectric waveguides with an arbitrary continuous permittivity profile. A virtual exterior element iteration technique is associated with the finite-element analysis to process the remote boundary condition. This technique achieves both excellent computational efficiency and accuracy when studying the dielectric propagation constants and cutoff frequencies. The spurious-infection-free modal electrical field can be obtained directly. Numerical results of circular optical fibers with the parabolic permitivity profile are presented to show the validity of this technique.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 579: Symposium B – The Optical Properties of Materials , 1999 , 281
Copyright
Copyright © Materials Research Society 2000

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References

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