A Variational Analysis of Anisotropic, Inhomogeneous Dielectric Waveguides

IEEE Transactions on Microwave Theory and Techniques

Volumn 37, Issue 4, 1989, Pages 661-668

  Chew, Weng Cho ^a   Nasir, Muhammad A ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES--VARIATIONAL TECHNIQUES;

ANISOTROPIC DIELECTRIC WAVEGUIDES; FINITE ELEMENT ANALYSIS; INHOMOGENEOUS DIELECTRIC WAVEGUIDES; TRANSPOSE PROBLEMS;

WAVEGUIDES, DIELECTRIC;

EID: 0024647477     PISSN: 00189480     EISSN: 15579670     Source Type: Journal    
DOI: 10.1109/22.18837     Document Type: Article

References (25)

1. M. Ikeuchi, H. Sawami, and H. Niki, “Analysis of open-type dielectric waveguides by the finite-element iterative method.” IEEE Trans. Microwave Theory Tech., vol. MTT-29, pp. 234-239, Mar. 1981.
2. 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, June 1981.
3. J. Katz, “Novel solution of 2-D waveguide using the finite elementmethod,” Appl. Opt., vol. 21, no. 15, p. 2747, 1982.
4. 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, Jan. 1984.
5. M. Koshiba, K. Hayata, and M. Suzuki, “Vectorial finite-element formulation without spurious modes for dielectric waveguides,' Trans. IECE Japan, vol. E 67, no. 4, pp. 191-196, 1984.
6. E. Schweig and W. B. Bridges, “Computer analysis of dielectric waveguides: A finite-difference method,” IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 531-541, May 1984.
7. M. Koshiba, K. Hayata, and M. Suzuki, “Approximate scalar finite element analysis of anisotropic optical waveguides with off-diagonal elements in a permittivity tensor,” IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 587-593, June 1984.
8. R. B. Wu and C. H. Chen, “A variational analysis of dielectric waveguides by the conformai mapping technique,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, no. 8, pp. 681-685, Aug. 1985.
9. C. C. Su, “A surface integral equation method for homogeneous optical fibers and coupled image lines of arbitrary cross sections,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 1114-1119, Nov. 1985.
10. R. B. Wu and C. H. Chen, “A scalar variational conformai mapping technique by weakly guiding dielectric waveguides,” IEEE J. Quantum Electron., vol. QE-22, pp. 595-608, May 1986.
11. K. Bierwirth, N. Schulz, and F. Arndt, “Finite-difference analysis of rectangular dielectric waveguide structures,” IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 1104-1114, Nov. 1986.
12. K. Hayata, M. Koshiba, M. Eguchi, and M. Suzuki, “Vectorial finite-element method without any spurious solutions for dielectric waveguiding problems using transverse magnetic field component,” IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 1120-1124, Nov. 1986.
13. C. C. Su, “A combined method for dielectric waveguides using finite-element techniques and the surface integral equations,” IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 1140-1146, Nov. 1986.
14. T. Angkaew, M. Matsuhara, and N. Kumagai, “Finite-element analysis of waveguide modes: A novel approach that eliminates spurious modes,” IEEE Trans. Microwave Theory Tech., vol. MTT-35, pp. 117-123, 1987.
15. W. C. Chew, “Analysis of optical and millimeter wave dielectric waveguide,” J. Electromagnetic Waves and Appl., to be published.
16. L. Cairo and T. Kahan, Variational Techniques in Electromagnetism. New York: Gordon and Breach, 1965.
17. R. E. Collin, Field Theory of Guided Waves. New York: McGraw-Hill, 1960. p. 231.
18. C. H. Chen and C. D. Lien, “The variational formulation for non-self-adjoint electromagnetic problems,” IEEE Trans. Microwave Theory Tech., vol. MTT-28, pp. 878-886, 1980.
19. J. A. Kong, Electromagnetic Wave Theory. New York: Wiley, 1986.
20. I. Stakgold, Boundary Value Problems of Mathematical Physics, vol. I. New York: Macmillian, 1968.
21. E. Merzbacher, Quantum Mechanics. New York: Wiley, 1970.
22. R. Wait and A. R. Mitehell, Finite Element Analysis and Applications. New York: Wiley, 1985.
23. R. Harrington, Field Computation by Moment Method. Malabar, FL: Krieger. 1983.
24. M. Nasir, “Finite element analysis of an inhomogeneous. anisotropic dielectric waveguide,” M.S. thesis, Dept. of Elect. and Comp. Eng., Univ. of Illinois, Urbana, 1988.
25. J. E. Goell. “A circular-harmonic computer analysis of rectangular dielectric waveguides,” Bell Syst. Tech. J., vol. 48, pp. 2133-2160, 1969.