Efficient full-vectorial finite-element modal analysis of dielectric waveguides incorporating inhomogeneous elements across dielectric discontinuities

IEEE Journal of Quantum Electronics

Volumn 36, Issue 11, 2000, Pages 1251-1261

  Li, Day Uei ^a   Chang, Hung Chun ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIELECTRIC MATERIALS; ERROR ANALYSIS; FINITE ELEMENT METHOD; MILLIMETER WAVE DEVICES; OPTICAL TESTING; OPTOELECTRONIC DEVICES; RECTANGULAR WAVEGUIDES; SEMICONDUCTOR DEVICE STRUCTURES; VECTORS; WAVE EQUATIONS;

DIELECTRIC DISCONTINUITIES; DIELECTRIC INTERFACE; RIB WAVEGUIDES; TRANSVERSE FIELD COMPONENTS; WAVEGUIDE CORNER SINGULARITIES;

OPTICAL WAVEGUIDES;

EID: 0034314281     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/3.890265     Document Type: Article

References (29)

1. Z. J. Csendes and P. Silvester, "Numerical solution of dielectric loaded waveguides: I - Finite-element analysis," IEEE Trans. Microwave Theory Tech., vol. MTT-18, pp. 1124-1131, 1970.
2. P. Daly, "Hybrid-mode analysis of microstrip by finite-element methods," IEEE Trans. Microwave Theory Tech., vol. MTT-19, pp. 19-25, 1971.
3. A. Konrad, "High-order triangular finite elements for electromagnetic waves in anisotropic media," IEEE Trans. Microwave Tech., vol. MTT-25, pp. 353-360, 1977.
4. J. B. Davies, F. A. Fernandez, and G. Y. Philippou, "Finite element analysis of all modes in cavities with circular symmetry," IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 1975-1980, 1982.
5. B. M. A. Rahman and J. B. Davies, "Finite-element analysis of optical and microwave waveguide problems," IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 20-28, 1984.
6. M. Koshiba, K. Hayata, and M. Suzuki, "Vectorial finite-element formulation without spurious modes for dielectric waveguides," Electron. Lett., vol. 20, pp. 409-410, 1984.
7. B. M. A. Rahman and J. B. Davies, "Penalty function improvement of waveguide solution by finite elements," IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 922-928, 1984.
8. _, "Finite-element solution of integrated optical waveguides," J. Lightwave Technol., vol. LT-2, pp. 682-688, 1984.
9. M. Koshiba, K. Hayata, and M. Suzuki, "Improved finite-element formulation in terms of magnetic field vector for dielectric waveguides," IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 227-233, 1985.
10. N. Mabaya, P. E. Lagasse, and P. Vandenbulcke, "Finite element analysis of optical waveguides," IEEE Trans. Microwave Theory Tech., vol. MTT-29, pp. 600-605, 1981.
11. Z. E. Abid, K. L. Johnson, and A. Gopinath, "Analysis of dielectric guides by vector transverse magnetic field finite elements," J. Lightwave Technol., vol. 11, pp. 1545-1549, 1993.
12. W. C. Chew and M. A. Nasir, "A variational analysis of anisotropic, inhomogeneous dielectric waveguides," IEEE Trans. Microwave Theory Tech., vol. 37, pp. 681-688, 1989.
13. M. Koshiba and K. Inoue, "Simple and efficient finite-element analysis of microwave and optical waveguides," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 371-377, 1992.
14. J. F. Lee, D. K. Sun, and Z. J. Cendes, "Tangential vector finite element for electromagnetic field computation," IEEE Trans. Magn., vol. 27, pp. 4032-4035, 1991.
15. M. Koshiba, S. Maruyama, and K. Hirayama, "A vector finite element method with the high-order mixed-interpolation-type triangular elements for optical waveguiding problems," J. Lightwave Technol., vol. 12, pp. 495-502, 1994.
16. D. S. Burnett, Finite Element Analysis - From Concepts to Applications, 2nd ed. Reading, MA: Addison-Wesley, 1987.
17. I. Ergatoudis, B. M. Irons, and O. C. Zienkiewicz, "Curved, isoparametric, quadrilateral elements for finte element analysis," Int. J. Solids Structures, vol. 4, pp. 31-42, 1968.
18. J. Katz, "Novel solution of 2-D waveguides using the finite element method," Appl. Opt., vol. 21, pp. 2747-2750, 1982.
19. A. S. Sudbo, "Why are accurate computations of mode fields in rectangular dielectric waveguide difficult?," J. Lightwave Technol., vol. 10, pp. 418-419, 1992.
20. W. W. Lui, C.-L. Xu, W.-P. Huang, K. Yokoyama, and S. Seki, "Full-vectorial mode analysis with considerations of field singularities at corners of optical waveguides," J. Lightwave Technol., vol. 17, pp. 1509-1513, 1999.
21. B. M. A. Rahman and J. B. Davies, "Vector-H finite-element solution of GaAs/GaAlAs rib waveguides," Proc. Inst. Elec. Eng., vol. 132, pp. 349-353, 1985.
22. G. R. Hadley and R. E. Smith, "Full-vector waveguide modeling using an iterative finite-difference method with transparent boundary conditions," J. Lightwave Technol., vol. 13, pp. 465-469, 1995.
23. M. S. Stern, "Semivectorial polarized finite difference method for optical waveguides with arbitrary index profiles," Proc. Inst. Elec. Eng., pt. J, vol. 135, no. 1, pp. 56-63, 1988.
24. W. P. Huang and H. A. Haus, "A simple variational approach to optical rib waveguides," J. Lightwave Technol., vol. 9, pp. 56-61, 1991.
25. M. S. Stern, P. C. Kendall, and P. W. A. McIlroy, "Analysis of the spectral index method for vector modes of rib waveguides," Proc. Inst. Elec. Eng., pt. J, vol. 137, pp. 21-26, 1990.
26. P. L. Liu and B. J. Li, "Semi-vectorial beam propagation method for analyzing polarized modes of rib waveguides," IEEE J. Quantum Electron., vol. 28, pp. 778-782, 1992.
27. T. Rozzi, G. Gerri, M. N. Husain, and L. Zappelli, "Variational analysis of the dielectric rib waveguide using the concept of 'transition function' and including edge singularities," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 247-256, 1991.
28. H. Noro and T. Nakayama, "A new approach to scalar and semivector mode analysis of optical waveguides," J. Lightwave Technol., vol. 14, pp. 1546-1556, 1996.
29. P. Lusse, P. Stuwe, J. Schule, and H. G. Unger, "Analysis of vectorial mode fields in optical waveguides by a new finite difference method," J. Lightwave Technol., vol. 12, pp. 487-493, 1994.