Finite-element full-vectorial propagation analysis for three-dimensional z-varying optical waveguides

Journal of Lightwave Technology

Volumn 16, Issue 4, 1998, Pages 703-713

  Montanari, Ettore ^c   Selleri, Stefano ^c   Vincetti, Luca ^c   Zoboli, Maurizio ^a,b,c  

^a IEEE

^b OSA ^*

^c UNIVERSITY OF PARMA   (Italy)

Author keywords

Finite element method; Integrated optics; Optical propagation; Vector beam propagation method

Indexed keywords

ELECTROMAGNETIC FIELD THEORY; FINITE ELEMENT METHOD; INTEGRATED OPTICS; INTERFACES (MATERIALS); LIGHT POLARIZATION; PERMITTIVITY; VECTORS;

FINITE ELEMENT BASED FULL VECTORIAL BEAM PROPAGATION METHOD (BPM); THREE DIMENSIONAL OPTICAL WAVEGUIDES;

OPTICAL WAVEGUIDES;

EID: 0032050578     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/50.664086     Document Type: Article

References (27)

1. D. Yevick, "A guide to electric field propagation techniques for guided-wave optics," Opt. Quantum Electron., vol. 26, pp. S185-S197, 1994.
2. J. Van Roey, J. Van der Donk, and P. Lagasse, "Beam propagation method: Analysis and assessment," J. Opt. Soc. Amer., vol. 71, no. 7, pp. 803-810, July 1981.
3. M. D. Feit and J. A. Fleck, "Computation of mode properties in optical fiber waveguides by a beam propagation method," Appl. Opt., vol. 19, pp. 1154-1164, 1980.
4. P. L. Liu and B. J. Li, "Semivectorial beam-propagation method for analyzing polarized modes of rib waveguides," IEEE J. Quantum Electron., vol. 28, pp. 778-782, Apr. 1992.
5. P. L. Liu, S. L. Yang, and D. M. Yuan, "The semivectorial beam propagation method," IEEE J. Quantum Electron., vol. 29, pp. 1205-1211, Apr. 1993.
6. P. L. Liu and B. J. Li, "Semivectorial Helmholtz beam propagation by Lanczos reduction," IEEE J. Quantum Electron., vol. 29, pp. 2385-2389, Aug. 1993.
7. P. C. Lee and E. Voges, "Three-dimensional semi-vectorial wide-angle beam propagation method," J. Lightwave Technol., vol. 12, pp. 215-225, Feb. 1994.
8. Y. Chung, N. Dagli, and L. Thylen, "Explicit finite difference vectorial beam propagation method," Electron. Lett., vol. 27, no. 23, pp. 2119-2121, Nov. 1991.
9. J. M. Liu and L. Gomelsky, "Vectorial beam propagation method," J. Opt. Soc. Amer. A, vol. 9, no. 9, pp. 1574-1585, Sept. 1992.
10. W. P. Huang and C. L. Xu, "Simulation of three-dimensional optical waveguides by a full-vector beam propagation method," IEEE J. Quantum Electron., vol. 29, pp. 2639-2649, Oct. 1993.
11. E. E. Kriezis and A. G. Papagiannakis, "A three dimensional full vectorial beam propagation method for z-dependent structures," IEEE J. Quantum Electron., vol. 33, pp. 883-890, May 1997.
12. R. Clauberg and P. Von Allmen, "Vectorial beam propagation method for integrated optics," Electron. Lett., vol. 27, no. 8, pp. 654-656, Apr. 1991.
13. W. P. Huang, C. L. Xu, S. T. Chu, and S. K. Chaudhuri, "A vector beam propagation method for guided-wave optics," IEEE Photon. Technol. Lett., vol. 3, pp. 910-913, Oct. 1991.
14. G. L. Yip and P. C. Noutsios, "An improved finite difference vector beam propagation formulation for graded index waveguides," IEEE Photon. Technol. Lett., vol. 6, pp. 543-545, Apr. 1994.
15. F. Schmidt, "An adaptive approach to the numerical solution of Fresnel's wave equation," J. Lightwave Technol., vol. 11, pp. 1425-1434, Sept. 1993.
16. K. Hayata, A. Misawa, and M. Koshiba, "Split-step finite-element method applied to nonlinear integrated optics," J. Opt. Soc. Amer. B, vol. 7, no. 9, pp. 1772-1784, Sept. 1990.
17. S. Selleri and M. Zoboli, "An improved finite element method formulation for the analysis of nonlinear anisotropic dielectric waveguides," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 887-892, Apr. 1995.
18. O. C. Zienkiewicz, The Finite Element Method, McGraw-Hill, Milan, Chaps. 20-21, 1977.
19. H. E. Hernandez-Figueroa, "Simple nonparaxial beam propagation method for integrated optics," J. Lightwave Technol., vol. 12, pp. 644-649, Apr. 1994.
20. C. Massini, G. Bellanca, P. Bassi, and R. Sorrentino, "An FD-BPM with adaptive mesh for longitudinally varying optical structures," Opt. Quantum Electron., vol. 27, pp. 951-959, 1995.
21. W. P. Huang and C. L. Xu, "A wide-angle vector beam propagation method," IEEE Photon. Technol. Lett., vol. 4, pp. 1118-1120, Oct. 1992.
22. R. D. Ettinger, F. A. Fernandez, and J. B. Davies, "Efficient vectorial analysis of propagation in three dimensional optical devices," Integr. Photon. Res.,OSA Tech. Dig. Series, vol. 10, pp. 392-395, 1993.
23. E. Montanari, S. Selleri, L. Vincetti, and M. Zoboli, "Finite-element formulation for full-vectorial propagation analysis in three dimensional optical waveguides," IEEE Photon. Technol. Lett., vol. 9, pp. 1244-1246, Sept. 1997.
24. A. Cucinotta, E. Montanari, S. Selleri, L. Vincetti, and M. Zoboli, "Finite-element full-vectorial propagation analysis for three dimensional anisotropic waveguides," in Proc. Int. Conf. Electromagn. Advanced Applications, ICEAA, Torino, Italy, Sept. 15-18, 1997, pp. 7-10.
25. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers. New York: McGraw-Hill, 1968.
26. H. J. W. M Hoekstra, "On beam propagation methods for modeling in integrated optics," Opt. Quantum Electron., vol. 29, pp. 157-171, 1997.
27. S. Selleri and M. Zoboli, "Performance comparison of finite element approaches for electromagnetic waveguides," J. Opt. Soc. Amer. A, vol. 14, no. 7, pp. 1460-1466, July 1997.