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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2406–2415

Fast full-wave analysis of large-scale three-dimensional photonic crystal devices

Yu-Jia Li and Jian-Ming Jin  »View Author Affiliations

JOSA B, Vol. 24, Issue 9, pp. 2406-2415 (2007)

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A fast full-wave technique based on a nonoverlapping domain decomposition implementation of the finite-element method is developed for the simulation of large-scale three-dimensional (3D) photonic crystal devices modeled with millions of unknowns. The technique is highly efficient because it fully exploits the geometrical redundancy found in photonic crystal problems. It solves for the electric field everywhere in the problem domain using higher-order vector basis functions that accurately model the property of the electric field. As a 3D full-wave technique, the proposed method can easily take into account the effect of radiation loss on the device parameters such as quality factor, transmission, and reflection coefficients. The numerical results of various photonic crystal devices are presented to demonstrate the application, efficiency, and capability of this method.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(230.0230) Optical devices : Optical devices
(230.7370) Optical devices : Waveguides
(260.2110) Physical optics : Electromagnetic optics
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: May 2, 2007
Manuscript Accepted: June 4, 2007
Published: August 27, 2007

Yu-Jia Li and Jian-Ming Jin, "Fast full-wave analysis of large-scale three-dimensional photonic crystal devices," J. Opt. Soc. Am. B 24, 2406-2415 (2007)

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  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, 1995).
  2. S. Johnson and J. D. Joannopoulos, Photonic Crystals: the Road from Theory to Practice (Kluwer Academic, 2002).
  3. A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides," Phys. Rev. Lett. 77, 3787-3790 (1996). [CrossRef] [PubMed]
  4. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Channel drop filters in photonic crystals," Opt. Express 3, 4-11 (1998). [CrossRef] [PubMed]
  5. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, M. J. Khan, C. Manolatou, and H. A. Haus, "Theoretical analysis of channel drop tunneling processes," Phys. Rev. B 59, 15882-15892 (1999). [CrossRef]
  6. R. D. Meade, A. M. Rappe, K. M. Brommer, J. D. Joannopoulos, and O. L. Alerhand, "Accurate theoretical analysis of photonic bandgap materials," Phys. Rev. B 48, 8434-8437 (1993). [CrossRef]
  7. S. G. Johnson and J. D. Joannopoulos, "Block-iterative frequency-domain methods for Maxwell's equations in a plane wave basis," Opt. Express 8, 173-180 (2001). [CrossRef] [PubMed]
  8. P. M. Bell, J. B. Pendry, L. M. Moreno, and A. J. Ward, "A program for calculating photonic band structures and transmission coefficients of complex structures," Comput. Phys. Commun. 85, 306-322 (1995). [CrossRef]
  9. M. M. Sigalas, R. Biswas, K. M. Ho, and C. M. Soukoulis, "Theoretical investigation of off-plane propagation of electromagnetic waves in two-dimensional photonic crystals," Phys. Rev. B 58, 6791-6794 (1998). [CrossRef]
  10. T. Baba, A. Motegi, T. Iwai, N. Fukaya, Y. Watanabe, and A. Sakai, "Light propagation characteristics of straight single-line-defect waveguides in photonic crystal slabs fabricated into a silicon-on-insulator substrate," IEEE J. Quantum Electron. 38, 743-752 (2002). [CrossRef]
  11. M. Qiu and S. L. He, "A nonorthogonal finite-difference time-domain method for computing the band structure of a two-dimensional photonic crystal with dielectric and metallic inclusions," J. Appl. Phys. 87, 8268-8275 (2000). [CrossRef]
  12. L. Wu and S. L. He, "Revised finite-difference time-domain algorithm in a nonorthogonal coordinate system and its application to the computation of the band structure of a photonic crystal," J. Appl. Phys. 91, 6499-6506 (2002). [CrossRef]
  13. M. N. Vouvakis, Z. Cendes, and J.-F. Lee, "A FEM domain decomposition method for photonic and electromagnetic band gap structures," IEEE Trans. Antennas Propag. 54, 721-733 (2006). [CrossRef]
  14. Y. Li and J. M. Jin, "A vector dual-primal finite element tearing and interconnecting method for solving 3-D large-scale electromagnetic problems," IEEE Trans. Antennas Propag. 54, 3000-3009 (2006). [CrossRef]
  15. C. Farhat, P. Avery, R. Tezaur, and J. Li, "FETI-DPH: a dual-primal domain decomposition method for acoustic scattering," J. Comput. Acoust. 13, 499-524 (2005). [CrossRef]
  16. D. Rixen and C. Farhat, "A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems," Int. J. Numer. Methods Eng. 44, 489-516 (1999). [CrossRef]
  17. Z. Lou, "Time-domain finite-element simulation of large antennas and antenna arrays," Ph.D. (University of Illinois at Urbana-Champaign, 2006).
  18. H. Mosallaei and Y. Rahmat-Samii, "Periodic bandgap and effective dielectric materials in electromagnetics: characterization and applications in nanocavities and waveguides," IEEE Trans. Antennas Propag. 51, 549-563 (2003). [CrossRef]
  19. A. Sharkawy, S. Shi, and D. W. Prather, "Implementations of optical vias in high-density photonic crystal optical networks," J. Microlith., Microfab., Microsyst. 2, 300-308 (2003). [CrossRef]
  20. S. G. Johnson, C. Manolatou, S. Fan, P. Villeneuve, J. D. Joannopoulos, and H. A. Haus, "Elimination of cross talk in waveguide intersections," Opt. Lett. 23, 1855-1857 (1998). [CrossRef]
  21. S. Lan and H. Ishikawa, "Broadband waveguide intersections with low cross talk in photonic crystal circuits," Opt. Lett. 27, 1567-1569 (2002). [CrossRef]
  22. Y.-G. Roh, S. Yoon, H. Jeon, S.-H. Han, and Q.-H. Park, "Experimental verification of cross talk reduction in photonic crystal waveguide crossings," Appl. Phys. Lett. 85, 3351-3353 (2004). [CrossRef]

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