Band gap optimization of 2-dimensional photonic crystals

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5360, Issue , 2004, Pages 69-76

  Chen, Caihua ^a   Sharkawy, Ahmed ^a   Shi, Shouyuan ^a   Prather, Dennis W ^a  

^a UNIVERSITY OF DELAWARE   (United States)

Author keywords

Direct binary search; Photonic band gap; Photonic crystals

Indexed keywords

DIRECT BINARY SEARCH; PHOTONIC BAND GAP; PHOTONIC CRYSTALS;

ANISOTROPY; ARRAYS; CRYSTAL STRUCTURE; MICROWAVES; MIRRORS; OPTIMIZATION; SIMULATED ANNEALING;

ENERGY GAP;

EID: 4344658704     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.524297     Document Type: Conference Paper

References (35)

1. S. John, "Strong localization of photons in certain disordered dielectric super-lattices," Phys. Rev. Lett. 58, 2486 (1987).
2. J. D.Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Row of Light (Princeton University Press, Princeton,NJ., 1995).
3. E. Yablonovitch, "Inhibited Spontaneous Emission in Solid-State Physics and Electronics," Phys. Rev. Lett. 58, 2059 (1987).
4. A. R. McGurn, "Photonic crystal circuits: A theory for two- and three-dimensional networks," Phys. Rev. B 61, 13235 (2000).
5. M. Notomi, A. Shinya, E. Kuramochi, I. Yokohama, C. Takahashi, K. Yamada, J. Takahashi, T. Kawashima, and S. Kawakami, "Si-based photonic crystals and photonic-bandgap waveguides," EEICE Trans. on Electro. E85C, 1025 (2002).
6. S. John and M. Florescu, "Photonic bandgap materials:towards an all-optical micro-transistor," J. Opt. A: Pure Appl. Opt. 3, S103 (2001).
7. O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O'Brien, P. D. Dapkus, and I. Kim, "Two-Dimensional Photonic Band-Gap Defect Mode Laser," Science 284, 1819 (1999).
8. B. Temelkuran, M. Bayindir, E. Ozbay, R. Biswas, M. M. Sigalas, G. Tuttle, and K. M. Ho, "Photonic Crystal-based resonant antenna with a very high directivity," J. of App. Phys. 87, 603 (2000).
9. A. Ferrando and J. J. Miret, "Single-polarization single-mode intraband guidance in supersquare photonic crystals fibers," Appl. Phy. Lett. 78, 3184 (2001).
10. K. Nam, "Photonic Crystals," http://www.phys.ksu.edu/~namkv/ photonic.html.
11. J. Moosburger, M. Kamp, F. Klopf, M. Fischer, and A. Forchel, "Fabrication of semiconductor lasers with 2D-photonic crystal mirrors using a wet oxidized Al2O3-mask," MICROELECTRONIC ENGINEERING 57, 1017 (2001).
12. T. D. Happ, A. Markard, M. Kamp, J. L. Gentner, and A. Forchel, "Short cavity InP-lasers with 2D photonic crystal mirrors," presented at Optoelectronics, 2001.
13. J. S. Shirk, R. G. S. Pong, S. R. Horn, and E. A. Bolden, "Nonlinear 2-d Photonic Crystals for Optical Limiting," http://www.ee.ucla.edu/ ~pbmuri/1999-review/shirk/.
14. M. Imada, S. Noda, A. Chutinan, M. Mochizuk, and T. Tanaka, "Channel Drop Filter Using a Single Defect in a 2-D Photonic Crystal Slab Waveguide," J. of Lightwave Tech. 20, 873 (2002).
15. M. Florescu and S. John, "Single-atom switching in photonic crystals," Phys. Rev. A 64, 033801 (2001).
16. Z. Li, J. Wang, and B. Gu, "Creation of partial band gaps in anisotropic photonic-band-gap structures," Phys. Rev. B. 58, 3721 (1998).
17. Z. Li, B. Gu, and G. Yang, "Large Absolute Band Gap in 2D Anisotropic Photonic Crystals," Phys.Rev.Lett. 81, 2574 (1998).
18. C. S. Kee, J. E. Kim, and H. Y. Park, "Absolute photonic band gap in a two-dimensional square lattice of square dielectric rods in air," Phys. Rev. E. 56, 6291 (1997).
19. D. Cassagne, C. Jouanin, and D. Bertho, "Hexagonal photonic-band-gap structures," Phys.Rev.B. 53, 7134 (1996).
20. E. Yablonovitch, T. J. Gmitter, and K.M.Leung, "Photonic band structure: The face-centered-cubic case employing nonspherical atoms," Phys.Rev.Lett. 67, 2295 (1991).
21. F. Gadot, A. Chelnokov, A. D. Lustrac, P. Crozat, J.-M. Lourtioz, D. Cassagne, and C. Jouanin, "Experimental demonstration of complete photonic band gap in graphite structure," Appl. Phys. Lett. 71, 1780 (1997).
22. P. R. Villeneuve and M. Piche, "Photonic band gaps in two-dimensional square and hexagonal lattices," Phys. Rev. B 46, 4969 (1992).
23. W. H. R.Hillebrand, and W. Harms, "Theoretical Band Gap Studies of Two-Dimensional Photonic Crystals with Varying Column Roundness," Phys. stat. sol. 217, 981 (2000).
24. X. Wang, B. Gu, Z. Li, and G. Yang, "Large absolute photonic band gaps created by rotating noncircular rods in two-dimensional lattices," Phys. Rev. B. 60, 11417 (1999).
25. R. Wang, X.-H. Wang, B.-Y. Gu, and G.-Z. Yang, "Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals," J. of App. Phys. 90, 4307 (2001).
26. P. R. Villeneuve and M. Piche, "Photonic band gaps in two-dimensional square lattices: Square and circular rods," Phys. Rev. B. 46, 4973 (1992).
27. C. M. Anderson and K. P. Giapis, "Symmetry reduction in grounp 4mm Photonic crystals," Phys. Rev. B. 56, 7313 (1997).
28. C. M. Anderson and K. P. Giapis, "Larger Two-Dimensional Photonic Band Gaps," Phys. Rev. Lett. 77, 2949 (1996).
29. M. Qiu and S. He, "Large Complete band gap in two-dimensional photonic crystals with elliptic air holes," Phys. Rev. B. 60, 10610 (1999).
30. R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Existence of a photonic band gap in two dimensions," Appl. Phys. Lett. 61, 495 (1992).
31. K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152 (1990).
32. 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 (1990).
33. C. Lemmi, S. Ledesma, J. Campos, and M. Villarreal, "Gray-level computer-generated hologram filters for multiple-object correlation," Appl. Opt. 39, 1233 (2000).
34. V. Boutenko and R. Chevallier, "Second order direct binary search algorithm for the synthesis of computer-generated holograms," Opt. Comm. 125, 43 (1996).
35. N. Wang, Y. Chen, Z. Nakao, S. Tamura, and H. Aritome, "Sythesis of Binary Computer-generated holograms based on a coding and frequency domain optimization algorithm," International J. of Optoelectronics 12, 69 (1998).