Three-dimensional noniterative full-vectorial beam propagation method based on the alternating direction implicit method

Journal of Lightwave Technology

Volumn 17, Issue 11, 1999, Pages 2389-2397

  Hsueh, Yu Li ^a,b   Yang, Ming Chuan ^a,c   Chang, Hung Chun ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b Stanford University   (United States)

^c Chinese Air Force Headquarters   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; LIGHT PROPAGATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; VECTORS;

ALTERNATING DIRECTION IMPLICIT (ADI) METHOD; BEAM PROPAGATION METHOD (BPM); CRANK-NICHOLSON METHOD; DISCRETIZATION;

OPTICAL DEVICES;

EID: 0033353321     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/50.803035     Document Type: Article

References (15)

1. D. Yevick, "A guide to electric field propagation techniques for guided-wave optics," Opt. Quantum Electron., vol. 26, pp. S185-S197, 1994.
2. D. Yevick and B. Hermansson, "Efficient beam propagation techniques," IEEE J. Quantum Electron., vol. 26, pp. 109-112, 1990.
3. A. Kunz, F. Zimulinda, and W. E. Heinlein, "Fast three-dimensional split-step algorithm for vectorial wave propagation in integrated optics," IEEE Photon. Technol. Lett., vol. 5, pp. 1073-1076, 1993.
4. 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, 1997.
5. 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, 1993.
6. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C - The Art of Scientific Computing, 2nd ed. New York: Cambridge University Press, 1992.
7. J. Yamauchi, T. Ando, and H. Nakano, "Beam-propagation analysis of optical fibers by alternating direction implicit method," Electron. Lett., vol. 27, pp. 1663-1665, 1991.
8. 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, 1992.
9. I. Mansour, A. D. Capobianco, and C. Rosa, "Noniterative vectorial beam propagation method with a smoothing digital filter," J. Lightwave Technol., vol. 14, pp. 908-913, 1996.
10. C. Vassallo, "Improvement of finite difference methods for step-index optical waveguides," Inst. Elec. Eng. Proc. - J., 1992, vol. 139, pp. 137-142.
11. J. Yamauchi, M. Sekiguchi, O. Uchiyama, J. Shibayama, and H. Nakano, "Modified finite-difference formula for the analysis of semivectorial modes in step-index optical waveguides," IEEE Photon. Technol. Lett., vol. 9, pp. 961-963, 1997.
12. G. R. Hadley, "Transparent boundary condition for the beam propagation method," IEEE J. Quantum Electron., vol. 28, pp. 363-370, 1992.
13. J. P. Berénger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, 1994.
14. W. P. Huang, C. L. Xu, W. Lui, and K. Yokoyama, "The perfectly matched layer (PML) boundary condition for the beam propagation method," IEEE Photon. Technol. Lett., vol. 8, pp. 649-654, 1996.
15. M. Digonnet and H. J. Shaw, "Analysis of a tunable single mode optical fiber coupler," IEEE J. Quantum Electron., vol. 18, pp. 746-754, 1982.