Correction of the numerical reflection coefficient of the finite-difference time-domain method for efficient simulation of vertical-cavity surface-emitting lasers

Journal of the Optical Society of America B: Optical Physics

Volumn 20, Issue 7, 2003, Pages 1401-1408

  Christ, Andreas ^a   Kuster, Niels ^a   Streiff, Matthias ^b   Witzig, Andreas ^b   Fichtner, Wolfgang ^b  

^a FOUNDATION FOR RESEARCH ON INFORMATION TECHNOLOGIES IN SOCIETY IT IS   (Switzerland)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; ERROR CORRECTION; FINITE DIFFERENCE METHOD; INTERFACES (MATERIALS); TIME DOMAIN ANALYSIS;

NUMERICAL REFLECTIONS;

SOLID STATE LASERS;

EID: 0042309912     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.20.001401     Document Type: Article

References (21)

1. I. S. Kim and W. J. R. Hoefer, "Numerical dispersion characteristics and stability factor for the TD-PD method," Electron. Lett. 26, 485-487 (1990).
2. J. B. Schneider and C. L. Wagner, "FDTD dispersion revisited: faster-than-light propagation," IEEE Microwave Guid. Wave Lett. 9, 54-56 (1999).
3. A. C. Cangellaris and D. B. Wright, "Analysis of the numerical error caused by the stair-stepped approximation of a conducting boundary in FDTD simulations of electromagnetic phenomena," IEEE Trans. Antennas Propag. 39, 1518-1525 (1991).
4. R. Holland, "Pitfalls of staircase meshing," IEEE Trans. Electromagn. Compat. 35, 434-439 (1993).
5. J. B. Schneider and R. J. Kruhlak, "Plane waves and planar boundaries in FDTD simulations," in United States National Committee (USNC) for the International Union for Radio Science (URSI) National Radio Science Meeting, Salt Lake City, Utah, July 2000 (URSI Secretariat, c/o INTEC, Ghent University, B-9000 Ghent, Belgium), p. 23.
6. T. Hirono, Y. Shibata, W. W. Lui, S. Seki, and Y. Yoshikuni, "The second-order condition for the dielectric interface orthogonal to the Yee-lattice axis in the FDTD scheme," IEEE Microwave Guid. Wave Lett. 10, 359-361 (2000).
7. K.-P. Hwang and A. C. Cangellaris, "Effective permittivities for second-order accurate FDTD equations at dielectric interfaces," IEEE Microwave Wireless Components Lett. 11, 158-160 (2001).
8. J.-F. Seurin, G. Liu, D. C. Barnes, D. I. Babic, S. W. Corzine, and M. R. Tan, "A finite-difference time-domain electromagnetic field solver for vertical-cavity lasers," Microwave Opt. Technol. Lett. 18, 385-387 (1998).
9. A. Witzig, M. Streiff, and W. Fichtner, "Time-domain Green's functions of realistic VCSEL cavities," in Physics and Simulation of Optoelectronic Devices IX, Y. Arakawa, P. Blood, and M. Osinski, eds., Proc. SPIE 4283, 104-112 (2001).
10. J.-F. P. Seurin and S. L. Chuang, "Discrete Bessel transform and beam propagation method for modeling of vertical-cavity surface-emitting lasers," J. Appl. Phys. 82, 2007-2016 (1997).
11. B. Klein, L. F. Register, M. Grupen, and K. Hess, "Numerical simulation of vertical cavity surface emitting lasers," Opt. Express 2, 163-168 (1998), http://www.opticsexpress. org.
12. M. J. Noble, J. A. Lott, and J. P. Loehr, "Quasi-exact optical analysis of oxide-apertured microcavity VCSELs using vector finite elements," IEEE J. Quantum Electron. 34, 2327-2339 (1998).
13. P. Bienstman, H. Derudder, R. Baets, F. Olyslager, and D. De Zutter, "Analysis of cylindrical waveguide discontinuities using vectorial eigenmodes and perfectly matched layers," IEEE Trans. Microwave Theory Tech. 49, 349-354 (2001).
14. C. Wilmsen, H. Temkin, and L. Coldren, eds., Vertical-Cavity Surface-Emitting Lasers (Cambridge University, Cambridge, England, 1999).
15. M. S. Park, B. T. Ahn, H. Y. Chu, B.-S. Yoo, and H.-H. Park, "Polarization properties of vertical-cavity surface-emitting lasers with various patterns in tilted pillar structures," Jpn. J. Appl. Phys. 37, 6295-6300 (1998).
16. S. Shinada, F. Koyama, N. Nishiyama, and M. Arai, "Single high-order transverse mode surface emitting laser with micromachined surface relief," IEICE Trans. Electron. E85-C, 995-1000 (2002).
17. D.-S. Song, S.-H. Kim, H.-G. Park, C.-K. Kim, and Y.-H. Lee, "Single-fundamental-mode photonic-crystal vertical-cavity surface-emitting lasers," Appl. Phys. Lett. 80, 3901-3903 (2002).
18. A. Taflove and S. C. Hagness, Computational Electromagnetics: the Finite-Difference Time-Domain Method, 2nd ed. (Artech House, Norwood, Mass., 2000).
19. A. Christ, J. Fröhlich, and N. Kuster, "Correction of numerical phase velocity errors in nonuniform FDTD meshes," IEICE Trans. Commun. E85-B, 2904-2915 (2002).
20. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1988).
21. M. Streiff, A. Witzig, and W. Fichtner, "Computing simulation optical modes for VCSEL device," IEE Proc. Optoelectron. 149, 166-173 (2002).