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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

REFERENCES

1. Hayata, K., Eguchi, M., Koshiba, M., Finite element formulation for guided-wave problems using transverse electric field component, IEEE Trans. on Microwave Theory and Techniques, Vol. 37, No. 1, Jan. 1989, pp 256–258 Google Scholar
2. Koshiba, M., Hataya, K., Suziki, M., Improved finite-element formulation in terms of the magnetic field vector for dielectric waveguides, IEEE Trans. on Microwave Theory and Techniques, Vol. MTT–33, No. 3, Mar. 1985, pp 227–232 Google Scholar
3. Hayata, K., Koshiba, M., Eguchi, M., Suzuki, M., Electronics Letters, Vol. 22, No. 6, Mar. 13, 1986, pp 295–296 Google Scholar
4. Lynch, D. R., Paulsen, K. D., Origin of vector parasites in numerical Maxwell solutions, IEEE trans. on Microwave Theory and Techniques, Vol 39, No. 3, Mar. 1991, pp 383–394 Google Scholar
5. Paulsen, K. D., Lynch, D. R., Elimination of vector parasites in finite element Maxwell solutions, IEEE trans. on Microwave Theory and Techniques, Vol 39, No. 3, Mar. 1991, pp 395–404 Google Scholar
6. Chiang, K. S., Review of numerical and approximate methods for the modal analysis of general optical dielectric waveguides, Optical and Quantum Electronics, 26 (1994), pp S113–S143Google Scholar
7. Su, C.-C., A combined method for dielectric waveguides using the finite-element technique and the surface integral equation method, IEEE trans. on Microwave Theory and Techniques, Vol. MTT–34, No. 11, Nov. 1986, pp 1140–1146 Google Scholar
8. Su, C.-C., Calculation of propagation constants and cutoff frequencies of radically inhomogeneous optical fibers, IEEE trans. on Microwave Theory and Techniques, Vol. MTT–34, No. 3, March 1986 Google Scholar
9. Chiang, K. S., Finite Element Analysis of Weakly Guiding Fibers with Arbitrary Refractive-Index Distribution, J. of Lightwave technology, Vol. LT–4, No. 8, August 1986 Google Scholar
10. Fan, C. Y., Peng, J. H., Guidewave optics, Beijing Polytechnic University Press, 1988 Google Scholar
11. Wang, X. C., Shao, M., Principle of finite element method and numerical methods, Tsinghua University Press, 1988 Google Scholar