Finite-difference-based mode-matching method for 3-D waveguide structures under semivectorial approximation

Journal of Lightwave Technology

Volumn 23, Issue 12, 2005, Pages 4239-4248

  Jiang, Kai ^a   Huang, Wei Ping ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

Mode matching methods; Optical waveguides; Perfectly matched layer (PML); Waveguide junctions

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; LIGHT SCATTERING; MATRIX ALGEBRA; VECTORS; WAVEGUIDE JUNCTIONS;

MODE-MATCHING METHODS; PERFECTLY MATCHED LAYER (PML); SEMIVECTORIAL APPROXIMATION;

OPTICAL WAVEGUIDES;

EID: 31344433474     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2005.858227     Document Type: Article

References (21)

1. T. E. Rozzi, "Rigorous analysis of the step discontinuity in a planar dielectric waveguide," IEEE Trans. Microw. Theory Tech., vol. MTT-26, no. 10, pp. 738-746, Oct. 1978.
2. H. Shigesawa and M. Tsuji, "Mode propagation through a step discontinuity in dielectric planar waveguide," IEEE Trans. Microw. Theory Tech., vol. MTT-34, no. 2, pp. 205-212, Feb. 1986.
3. A. W. Snyder and J. D. Love, Optical Waveguide Theory. London, U.K.: Chapman and Hall, 1983.
4. R. Sammut and A. W. Snyder, "Leaky modes on a dielectric waveguide: Orthogonality and excitation," Appl. Opt., vol. 15, no. 4, pp. 1040-1044, Apr. 1976.
5. H. Derudder, D. De Zutter, and F. Olyslager, "Analysis of waveguide discontinuities using perfectly matched layers," Electron. Lett., vol. 34, no. 22, pp. 2138-2140, Oct. 1998.
6. H. Derudder, F. Olyslager, D. De Zutter, and S. Van den Berghe, "Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers," IEEE Trans. Antennas Propag., vol. 49, no. 2, pp. 185-195, Feb. 2001.
7. P. Bienstman, H. Derudder, R. Baets, F. Olyslager, and D. De Zutter, "Analysis of cylindrical waveguide discontinuities using vectorial eigen-modes and perfectly matched layers," IEEE Trans. Microw. Theory Tech., vol. 49, no. 2, pp. 349-354, Feb. 2001.
8. M. S. Stern, "Semivectorial polarized finite difference method for optical waveguides with arbitrary index profiles," Proc. Inst. Elect. Eng. J., vol. 135, no. 1, pp. 56-63, Feb. 1988.
9. S. D. Gedney, "An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices," IEEE Trans. Antennas Propag., vol. 44, no. 12, pp. 1630-1639, Dec. 1996.
10. W. C. Chew, J. M. Jin, and E. Michielssen, "Complex coordinate stretching as a generalized absorbing boundary condition," Microw. Opt. Technol. Lett., vol. 15, no. 6, pp. 363-369, Aug. 1997.
11. 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, no. 10, pp. 2639-2649, Oct. 1993.
12. L. Li, "Multilayer modal method for diffraction gratings of arbitrary profile, depth, and permittivity," J. Opt. Soc. Amer. A, Opt. Image Sci., vol. 10, no. 12, pp. 2581-2591, Dec. 1993.
13. L. Li, "Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings," J. Opt. Soc. Amer A, Opt. Image Sci., vol. 13, no. 5, pp. 1024-1035, May 1996.
14. J. Fang and Z. Wu, "Generalized perfectly matched layer for the absorption of propagating and evanescent waves in lossless and lossy media," IEEE Trans. Microw. Theory Tech., vol. 44, no. 12, pp. 2216-2222, Dec. 1996.
15. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, no. 2, pp. 185-200, Oct. 1994.
16. H. Rogier and D. De Zutter, "Berenger and leaky modes in microstrip substrates terminated by a perfectly matched layer," IEEE Trans. Microw. Theory Tech., vol. 49, no. 4. pp. 712-715, Apr. 2001.
17. H. Rogier and D. De Zutter, "Berenger and leaky modes in optical fibers terminated with a perfectly matched layer," J. Lightw. Technol., vol. 20, no. 7, pp. 1141-1148, Jul. 2002.
18. L. Vincetti, A. Cucinotta, S. Selleri, and M. Zoboli, "Three-dimensional finite-element beam propagation method: Assessments and developments," J. Opt. Soc. Amer. A, Opt. Image Sci., vol. 17, no. 6, pp. 1124-1131, Jun. 2000.
19. C. A. De Francisco, B. V. Borges, and M. A. Romero, "A semivectorial method for the modeling of photonic crystal fibers," Microw. Opt. Technol. Lett., vol. 38, no. 5, pp. 418-421, Sep. 2003.
20. M. Reed, P. Sewell, T. M. Benson, and P. C. Kendall, "Efficient propagation algorithm for 3-D optical waveguides," Proc. Inst. Elect. Eng. Optoelectron., vol. 145, no. 1, pp. 53-58, Feb. 1998.
21. A. Vukovic, P. Sewell, T. M. Benson, and P. C. Kendall, "Advances in facet design for buried lasers and amplifiers," IEEE J. Quantum Electron., vol. 6, no. 1, pp. 175-184, Jan./Feb. 2000.