Performance comparison of finite-element approaches for electromagnetic waveguides

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 14, Issue 7, 1997, Pages 1460-1466

  Selleri, S ^a   Zoboli, M ^a  

^a UNIVERSITY OF PARMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000643158     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.001460     Document Type: Article

References (15)

1. C. Chew and M. A. Nasir, “A variational analysis of anisotropic inhomogeneous dielectric waveguides,” IEEE Trans. Microwave Theory Tech. 37, 661–668 (1989).
2. K. Hayata, K. Koshiba, M. Eguchi, and M. Suzuki, “Vectorial finite element method without any spurious solution for dielectric waveguiding problems using transverse magnetic field components,” IEEE Trans. Microwave Theory Tech. MTT-34, 1120–1124 (1986).
3. Y. Lu and F. A. Fernandez, “An efficient finite element so-lution of inhomogeneous anisotropic and lossy dielectric waveguides,” IEEE Trans. Microwave Theory Tech. 41, 1215–1223 (1993).
4. J. F. Lee, D. K. Sun, and Z. J. Cendes, “Full wave analysis of dielectric waveguides using tangential vector finite ele-ments,” IEEE Trans. Microwave Theory Tech. 39, 1262–1271 (1991).
5. K. Hayata and K. Inoue, “Simple and efficient finite element analysis of microwave and optical waveguides,” IEEE Trans. Microwave Theory Tech. 40, 371–377 (1992).
6. 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. 12, 495–502 (1994).
7. B. M. A. Rahman and J. B. Davies, “Penalty function im-provement of waveguides solution by finite elements,” IEEE Trans. Microwave Theory Tech. MTT-32, 922–928 (1984).
8. S. Selleri and M. Zoboli, “An improved finite element method formulation for the analysis of nonlinear anisotropic dielectric waveguides,” IEEE Trans. Microwave Theory Tech. 43, 887–892 (1995).
9. C. Vassalo, “Finite difference analysis of vectorial transversal field in optical waveguides,” presented at the 3rd Inter-national Conference on Mathematical and Numerical As-pects of Wave Propagation Phenomena, INRIA-SIAM, Mandelien, France, April 11–12, 1995.
10. M. Koshiba, K. Hayata, and M. Suzuki, “Improved finite element formulation in terms of the magnetic field vector for dielectric waveguides,” IEEE Trans. Microwave Theory Tech. MTT-33, 227–233 (1985).
11. M. Zoboli and P. Bassi, “The finite element method for an-isotropic optical waveguides,” in Anisotropic and Nonlinear Optical Waveguides, G. Stegeman and C. G. Someda, eds. (Elsevier, Amsterdam, 1992), pp. 77–116.
12. A. Fernandez, J. B. Davies, S. Zhu, and Y. Lu, “Sparse matrix eigenvalue solver for finite element solution of dielectric waveguides,” Electron. Lett. 27, 1824–1826 (1991).
13. B. M. Dillon, P. T. S. Liu, and J. P. Webb, “Spurious modes in quadrilateral and triangular edge elements,” Int. J. Com-put. Math. Electr. Electron. Eng. (COMPEL) 13 (Suppl. A), 311–316 (1994).
14. S. Selleri and M. Zoboli, “A comparison of vector finite ele-ment formulations for waveguide analysis,” presented at Electrosoft 96, May 28–30, 1996, San Miniato, Italy. K. Hayata, M. Koshiba, and M. Suzuki, “Vectorial wave analysis of stress-applied polarization-maintaining optical fibers by the finite element method,” J. Lightwave Technol. JLT-4, 133–139 (1986).
15. A. Jay, “FEM modeling and preprocessing,” in Finite Element Handbook, H. Kardestuncer and D. H. Norrie, eds.(McGraw Hill, New York, 1987). The triangle aspect ratio measures the shape of the triangular element. It can be defined as the ratio of the length of the longest to the shortest element side. It can be used to test when an element becomes too elongated and the vertex angles too small or too large.