Curvilinear Hybrid Edge/Nodal Elements with Triangular Shape for Guided-Wave Problems

Journal of Lightwave Technology

Volumn 18, Issue 5, 2000, Pages 737-743

  Koshiba, Masanori ^a,b   Tsuji, Yasuhide ^a,c  

^a HOKKAIDO UNIVERSITY   (Japan)

^b KITAMI INSTITUTE OF TECHNOLOGY   (Japan)

^c HOKKAIDO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Curvilinear element; Edge element; Finite element method; Full wave analysis; Guided wave problem

Indexed keywords

EID: 0000373559     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/50.842091     Document Type: Article

References (10)

1. J.-F. Lee, D.-K. Sun, and Z. J. Cendes, "Full-wave analysis of dielectric waveguides using tangential vector finite elements," IEEE Trans. Microwave Theory Tech., vol. 39, pp. 1262-1271, Aug. 1991.
2. 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, Feb. 1992.
3. 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, Mar. 1994.
4. J. S. Wang and N. Ida, "Curvilinear and higher order 'edge' finite elements in electromagnetic field computation," IEEE Trans. Magnet., vol. 29, pp. 1491-1494, Mar. 1993.
5. G. E. Antilla and N. G. Alexopoulos, "Scattering from complex three-dimensional geometries by a curvilinear hybrid finite-element-integral equation approach," J. Opt. Soc. Amer. A, vol. 11, pp. 1445-1457, Apr. 1994.
6. I J. C. Nedelec, "Mixed finite elements in R3," Numer. Math., vol. 35, pp. 315-341, 1980.
7. A. F. Peterson, "Vector finite element formulation for scattering from two-dimensional heterogeneous bodies," IEEE Trans. Antennas Propagat., vol. AP-43, pp. 357-365, Mar. 1994.
8. G. Mur and A. T. Hoop, "A finite element method for computing three-dimensional electromagnetic fields in inhomogeneous media," IEEE Trans. Magnet., vol. MAG-21, pp. 2188-2191, Nov. 1985.
9. O. C. Zienkiewitz, The Finite Element Method, 3rd ed. London, U.K.: McGraw-Hill, 1977.
10. M. Koshiha, Optical Waveguide Theory by the Finite Element Method. Tokyo, Japan: KTK Scientific/Kluwer, 1992.