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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 20 — Sep. 26, 2011
  • pp: 19346–19353

The optimal structure of two dimensional photonic crystals with the large absolute band gap

Donglin Wang, Zhongyuan Yu, Yumin Liu, Pengfei Lu, Lihong Han, Hao Feng, Xiaotao Guo, and Han Ye  »View Author Affiliations

Optics Express, Vol. 19, Issue 20, pp. 19346-19353 (2011)

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This paper reports a new designed square lattice GaAs structure of two-dimensional photonic crystals with absolute band gap approach to 0.1623 (2πc/a), where a is the period of the square lattice. The optimal structure is obtained by combining the Geometry Projection Method and Finite Element Method. Both gradient information and symmetric control points are introduced to reduce the calculation cost. For benefit to the fabrication in reality, the structure is simplified by the combination of triangle and rectangular geometry. Through parameter optimization, the absolute band gap of the new structure is improved to 0.1735 (2πc/a), which is much larger than those reported before. The new PC structure is convenient and stab for fabrication, and may be found applications in the future optical devices.

© 2011 OSA

OCIS Codes
(230.0230) Optical devices : Optical devices
(230.5298) Optical devices : Photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: August 15, 2011
Manuscript Accepted: September 1, 2011
Published: September 20, 2011

Donglin Wang, Zhongyuan Yu, Yumin Liu, Pengfei Lu, Lihong Han, Hao Feng, Xiaotao Guo, and Han Ye, "The optimal structure of two dimensional photonic crystals with the large absolute band gap," Opt. Express 19, 19346-19353 (2011)

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  1. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett.58(23), 2486–2489 (1987). [CrossRef] [PubMed]
  2. L. F. Shen, S. He, and S. S. Xiao, “Large absolute band gaps in two-dimensional photonic crystals formed by large dielectric pixels,” Phys. Rev. B66(16), 165315 (2002). [CrossRef]
  3. H. P. Li, L. Y. Jiang, W. Jia, H. X. Qiang, and X. Y. Li, “Genetic optimization of two-dimensional photonic crystals for large absolute band-gap,” Opt. Commun.282(14), 3012–3017 (2009). [CrossRef]
  4. S. Zarei, M. Shahabadi, and S. Mohajerzadeh, “Symmetry reduction for maximization of higher-order stop-bands in two-dimensional photonic crystals,” J. Mod. Opt.55(18), 2971–2980 (2008). [CrossRef]
  5. L. F. Shen, Z. Ye, and S. L. He, “Design of two-dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B68(3), 035109 (2003). [CrossRef]
  6. M. Qiu and S. He, “Optimal design of a two-dimensional photonic crystal of square lattice with a large complete two-dimensional band gap,” J. Opt. Soc. Am. B17(6), 1027–1030 (2000). [CrossRef]
  7. W. L. Liu and T. J. Yang, “Engineering the band-gap of a two-dimensional photonic crystal with slender dielectric veins,” Phys. Lett. A369(5-6), 518–523 (2007). [CrossRef]
  8. F. Wen, S. David, X. Checoury, M. El Kurdi, and P. Boucaud, “Two-dimensional photonic crystals with large complete photonic band gaps in both TE and TM polarizations,” Opt. Express16(16), 12278–12289 (2008). [CrossRef] [PubMed]
  9. O. Sigmund and K. Hougaard, “Geometric properties of optimal photonic crystals,” Phys. Rev. Lett.100(15), 153904 (2008). [CrossRef] [PubMed]
  10. H. Men, N. C. Nguyen, R. M. Freund, K. M. Lim, P. A. Parrilo, and J. Peraire, “Design of photonic crystals with multiple and combined band gaps,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.83(4), 046703 (2011). [CrossRef] [PubMed]
  11. J. Norato, R. Haber, D. Tortorelli, and M. P. Bendsoe, “A geometry projection method for shape optimization,” Int. J. Numer. Methods Eng.60(14), 2289–2312 (2004). [CrossRef]
  12. W. R. Frei, H. T. Johnson, and K. D. Choquette, “Optimization of a single defect photonic crystal laser cavity,” J. Appl. Phys.103(3), 033102 (2008). [CrossRef]
  13. S. Preble, M. Lipson, and H. Lipson, “Two-dimensional photonic crystals designed by evolutionary algorithms,” Appl. Phys. Lett.86(6), 061111 (2005). [CrossRef]
  14. O. Sigmund and J. Petersson, “Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima,” Struct. Optim.16(1), 68–75 (1998). [CrossRef]
  15. W. R. Frei, D. A. Tortorelli, and H. T. Johnson, “Geometry projection method for optimizing photonic nanostructures,” Opt. Lett.32(1), 77–79 (2007). [CrossRef] [PubMed]
  16. G. Turk and J. F. O’Brien, “Modeling with Implicit Surfaces that Interpolate,” ACM Trans. Graph.21(4), 855–873 (2002). [CrossRef]
  17. H. Tian, Z. Yu, L. Han, and Y. Liu, “Birefringence and confinement loss properties in photonic crystal fibers under lateral stress,” IEEE Photon. Technol. Lett.20(22), 1830–1832 (2008). [CrossRef]
  18. T. Hong-Da, Y. Zhong-Yuan, H. Li-Hong, and L. Yu-Min, “Lateral stress-induced propagation characteristics in photonic crystal fibres,” Chin. Phys. B18(3), 1109–1115 (2009). [CrossRef]
  19. J. S. Jensen and O. Sigmund, “Systematic design of photonic crystal structures using topology optimization: low-loss waveguide bends,” Appl. Phys. Lett.84(12), 2022–2024 (2004). [CrossRef]
  20. E. Lidorikis, M. M. Sigalas, E. N. Economou, and C. M. Soukoulis, “Gap deformation and classical wave localization in disordered two-dimensional photonic-band-gap materials,” Phys. Rev. B61(20), 13458–13464 (2000). [CrossRef]

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