Unusual molecular-dynamical method for vectorwave analysis of optical waveguides

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

Volumn 14, Issue 7, 1997, Pages 1451-1459

  Nakayama, Tsuneyoshi ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

^b Showa Elec Wire and Cable Co Ltd   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC FIELDS; ELECTROMAGNETIC DISPERSION; EQUATIONS OF MOTION; LATTICE VIBRATIONS; MATRIX ALGEBRA; MODAL ANALYSIS; NUMERICAL METHODS; REFRACTIVE INDEX; VECTORS; WAVEGUIDE COUPLERS;

RECTANGULAR DIELECTRIC WAVEGUIDE; UNUSUAL MOLECULAR DYNAMICAL METHOD; VECTOR WAVE ANALYSIS;

OPTICAL WAVEGUIDES;

EID: 0031185388     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.14.001451     Document Type: Article

References (22)

1. B. M. A. Rahman and J. B. Davies, “Vector-H finite element solution of GaAs/GaAlAs rib waveguides,” IEE Proc. Part J 132, 349–353 (1985).
2. K. Biewirth, N. Schulz, and F. Arndt, “Finite-difference analysis of rectangular dielectric waveguide structure,” IEEE Trans. Microwave Theory Tech. MTT-34, 1104–1114 (1986).
3. A. P. Ansbro and I. Montrosset, “Vectorial finite difference scheme for isotropic dielectric waveguides: transverse electric field representation,” IEE Proc. Part J 140, 253–259 (1993).
4. C. L. Xu, W. P. Huang, M. S. Stern, and S. K. Chaudhuri, “Full-vectorial mode calculations by finite difference method,” IEE Proc. Optoelectron. 141, 281–286 (1994).
5. M. S. Stern, “Semivectorial polarized finite difference method for optical waveguides with arbitrary index profiles,” IEE Proc. Part J 135, 56–63 (1988)
6. M. S. Stern, “Semivectorial polarized H field solutions for dielectric waveguides with arbitrary index profiles,” IEE Proc. Part J 135 333–338 (1988)
7. W. P. Huang and C. L. Xu, “Simulation of three-dimensional optical waveguides by a full-vector beam propagation method,” IEEE J. Quantum Electron. 29, 2639–2649 (1993).
8. C. L. Xu, W. P. Huang, and S. K. Chaudhuri, “Efficient and accurate vector mode calculations by beam propagation method,” J. Lightwave Technol. 11, 1209–1215 (1993).
9. Em. E. Kriezis and A. G. Papagiannakis, “A joint finite-difference and FFT full vectorial beam propagation scheme,” J. Lightwave Technol. 13, 692–700 (1995).
10. P. L. Liu and B. J. Li, “Full-vector mode analysis of rib 16. waveguides by iterative Lanczos reduction,” IEEE J. Quantum Electron. 29, 2859–2863 (1993).
11. H. Noro and T. Nakayama, “Mode analysis of optical waveguides: a new approach,” Opt. Lett. 20, 1227–1229 17. (1995)
12. H. Noro and T. Nakayama, “A new approach to scalar and semivector mode analysis of optical waveguides,” J. Lightwave Technol. 14, 1546–1556 (1996).
13. Y. Okamoto and H. J. Marris, “A novel algorithm for calculation of the extreme eigenvalues of large Hermitian matrices,” Comput. Phys. Commun. 76, 191–202 (1993). 18.
14. D. M. Young, Iterative Soiution of Large Linear Systems (Academic, New York, 1971).
15. M. Born and K. Huang, Dynamicai Theory of Crystai Lat-19. tices (Clarendon, Oxford, 1954).
16. T. Nakayama, M. Takano, K. Yakubo, and T. Yamanaka, “Numerical method for the analysis of optical waveguides,” 20. Opt. Lett. 17, 326–328 (1992).
17. C. Lanczos, “An iteration method for the solution of the ei-genvalue problem of linear differential and integral opera-tors,” J. Res. Natl. Bur. Stand. 50, 255–283 (1950).
18. T. Terao, K. Yakubo, and T. Nakayama, “Numerical method for large-scale non-Hermitian matrices and its ap-plication to percolating Heisenberg antiferromagnets,” Phys. Rev. E 50, 566–576 (1994).
19. T. Nakayama, “Computing very large matrices: the forced oscillator method,” in Computationai Physics as a New Frontier in Condensed Matter Research, H. Takayama, M. Tsukada, H. Shiba, F. Yonezawa, M. Imada, and Y. Okabe, eds. (The Physical Society of Japan, Tokyo, 1995), pp. 2133.
20. K. Yakubo, T. Nakayama, and H. J. Maris, “Analysis of a new method for finding eigenmodes of very large lattice sys-tems,” J. Phys. Soc. Jpn. 60, 3249–3259 (1991).
21. J. E. Goell, “A circular-harmonic computer analysis of rectangular dielectric waveguides,” Bell Syst. Tech. J. 48, 2133–2160 (1969).
22. T. M. Benson and P. C. Kendall, “Equipartition method for the analysis of two nonidentical closely separated rib waveguides,” IEE Proc. Part J 140, 62–65 (1993).