Second-order accurate FDTD space and time grid refinement method in three space dimensions

IEEE Photonics Technology Letters

Volumn 18, Issue 11, 2006, Pages 1237-1239

  Zakharian, Armis R ^a   Brio, M ^b   Dineen, C ^b   Moloney, J V ^a  

^a UNIVERSITY OF ARIZONA   (United States)

^b The University of Arizona   (United States)

Author keywords

Finite difference time domain (FDTD); Grid refinement; Numerical simulations; Photonic crystal microcavity; Subgridding

Indexed keywords

FINITE DIFFERENCE METHOD; MICROOPTICS; NUMERICAL METHODS; THREE DIMENSIONAL; TIME DOMAIN ANALYSIS;

FINITE-DIFFERENCE TIME-DOMAIN METHOD; PHOTONIC CRYSTAL MICROCAVITY; SUBGRIDDING; THREE-DIMENSIONAL COMPUTATIONAL GRID; TIME GRID REFINEMENT METHOD;

OPTICAL DESIGN;

EID: 33744477900     PISSN: 10411135     EISSN: None     Source Type: Journal    
DOI: 10.1109/LPT.2006.875328     Document Type: Article

References (9)

1. P. Thoma and T. Weiland, "A consistent subgridding scheme for the finite difference time domain method," Inter. J. Numer. Modeling, vol. 9, pp. 359-374, 1996.
2. M. Okoniewski, E. Okoniewska, and M. A. Stuchly, "Three dimensional subgridding algorithm for FDTD," IEEE Trans. Antennas Propag., vol. 45, no. 3, pp. 422-429, Mar. 1997.
3. M. J. White, Z. Yun, and M. F. Iskander, "A new 3D FDTD multigrid technique with dielectric traverse capabilities," IEEE Trans. Microw. Theory Tech., vol. 49, no. 3, pp. 422-430, Mar. 2001.
4. F. Collino, T. Fouquet, and P. Joly, "A space-time mesh refinement method for the 1-D Maxwell's equation," Comptes Rendus Acad. Sci. Paris, vol. 328, pp. 263-268, 1999.
5. K. M. Krishnaiah and C. J. Railton, "A stable subgridding algorithm and its application to eigenvalue problems," IEEE Trans. Microw. Theory Tech., vol. 47, no. 5, pp. 620-628, May 1999.
6. A. R. Zakharian, M. Mansuripur, and J. V. Moloney, "Transmission of light through small elliptical apertures," Opt. Express, vol. 12, pp. 2631-2648, 2004.
7. A. R. Zakharian, M. Brio, and J. V. Moloney, "FDTD based local mesh refinement method for Maxwell's equations in two space dimensions," Commun. Math. Sci., vol. 2, no. 3, pp. 497-513, 2004.
8. A. R. Zakharian, M. Brio, C. Dineen, and J. V. Moloney, "Stability of 2-D FDTD algorithms with local mesh refinement for Maxwell's equations," Commun. Math. Sci., to be published.
9. J. Vucković, M. Loncar, H. Mabuchi, and A. Sherer, "Design of photonic crystal microcavities for cavity QED," Phys. Rev. E, vol. 65, pp. 016608-1-016608-11, 2001.