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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 17, Iss. 6 — Jun. 1, 2000
  • pp: 1027–1030

Optimal design of a two-dimensional photonic crystal of square lattice with a large complete two-dimensional bandgap

Min Qiu and Sailing He  »View Author Affiliations


JOSA B, Vol. 17, Issue 6, pp. 1027-1030 (2000)
http://dx.doi.org/10.1364/JOSAB.17.001027


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Abstract

Optimal design of a two-dimensional photonic crystal with a square lattice of air holes in GaAs is considered. It is shown how a maximum complete two-dimensional band gap is obtained by optimally connecting the dielectric rods with veins. The complete two-dimensional bandgap of our optimal design reaches Δω=0.0762(2πc/a)(a is the lattice constant).

© 2000 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(260.2030) Physical optics : Dispersion
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

Citation
Min Qiu and Sailing He, "Optimal design of a two-dimensional photonic crystal of square lattice with a large complete two-dimensional bandgap," J. Opt. Soc. Am. B 17, 1027-1030 (2000)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-17-6-1027


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References

  1. E. Yablonovitch, “Inhibited spontaneous emission in solid state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987). [CrossRef] [PubMed]
  2. J. D. Joannopoulos, R. D. Mead, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton U. Press, Princeton, N.J., 1995).
  3. C. M. Soukoulis, ed., Photonic Band Gaps and Localization, Proceedings of the NATO Advanced Research Workshops (Plenum, New York, 1993).
  4. J. D. Joannopoulos, P. Villeneuve, and S. Fan, “Photonic crystals: putting a new twist of light,” Nature (London) 386, 143–149 (1997). [CrossRef]
  5. J. C. Knight, T. A. Birks, P. St. J. Russell, and D. M. Atkin, “All-silica single-mode optical fiber with photonic crystal cladding,” Opt. Lett. 21, 1547–1549 (1996). [CrossRef] [PubMed]
  6. D. L. Bullock, C. Shih, and R. S. Margulies, “Photonic band structure investigation of two-dimensional Bragg reflector mirrors for semiconductor laser mode control,” J. Opt. Soc. Am. B 10, 399–403 (1993). [CrossRef]
  7. U. Grüning, V. Lehmann, S. Ottow, and K. Busch, “Macroporous silicon with a complete two-dimensional photonic band gap centered at 5 μm,” Appl. Phys. Lett. 68, 747–749 (1996). [CrossRef]
  8. J. R. Wendt, G. A. Vawter, P. L. Gourley, T. M. Brennan, and B. E. Hammons, “Nanofabrication of photonic lattice structures in GaAs/AlGaAs,” J. Vac. Sci. Technol. B 11, 2637–2640 (1993). [CrossRef]
  9. S. Y. Lin, G. Arjavalingam, and W. M. Robertson, “Investigation of absolute photonic band-gaps in 2-dimensional dielectric structures,” J. Mod. Opt. 41, 385–393 (1994). [CrossRef]
  10. Z. Y. Li, B. Y. Gu, and G. Z. Yang, “Large absolute band gap in two-dimensional anisotropic photonic crystals,” Phys. Rev. Lett. 81, 2574–2577 (1998). [CrossRef]
  11. C. M. Anderson and K. P. Giapis, “Larger two-dimensional photonic band gaps,” Phys. Rev. Lett. 77, 2949–2952 (1996). [CrossRef] [PubMed]
  12. K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic bandgap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152–3155 (1990). [CrossRef] [PubMed]
  13. K. M. Leung and Y. F. Liu, “Full vector wave calculation of photonic band structures in face-centered-cubic dielectric media,” Phys. Rev. Lett. 65, 2646–2649 (1990). [CrossRef] [PubMed]
  14. S. Satpathy, Z. Zhang, and M. R. Salehpour, “Theory of photon bands in three-dimensional periodic dielectric structure,” Phys. Rev. Lett. 64, 1239–1242 (1990). [CrossRef] [PubMed]
  15. M. Plihal and A. A. Maradudin, “Photonic band structure of two-dimensional systems: the triangular lattice,” Phys. Rev. B 44, 8565–8571 (1991). [CrossRef]
  16. M. Plihal, A. Shambrook, A. A. Maradudin, and P. Sheng, “Two-dimensional photonic band structures,” Opt. Commun. 80, 199–204 (1991). [CrossRef]
  17. P. R. Villeneuve and M. Piché, “Photonic band gaps in two-dimensional square and hexagonal lattices,” Phys. Rev. B 46, 4969–4972 (1992). [CrossRef]
  18. E. Polack, Computational Methods in Optimization, a Unified Approach (Academic, New York, 1971).
  19. S. He, P. Fuks, and G. Larson, “An optimization approach to time-domain electromagnetic inverse problem for a stratified dispersive and dissipative slab,” IEEE Trans. Antennas Propag. 44, 1277–1282 (1996). [CrossRef]

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