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Plane wave expansion method was employed to study the complete photonic band gap (PBG) of two-dimensional air annular photonic crystals (PCs). Comparison of the complete PBG of the air annular photonic crystal and the commonly used PCs (square-and triangular-lattice dielectric rods in air and square-and triangular-lattice air holes in dielectric background) reveals that a larger complete PBG can be obtained for the air annular PCs. Furthermore, the complete PBG is observed for the air annular PCs even if the dielectric contrast is low, while it is difficult to achieve a complete PBG for the commonly used PCs. For example, for the square and triangular lattice air-hole PCs, the complete PBG is observed when the refractive index of the dielectric materials is arger than 2.8 and 3.2, respectively. But the complete PBG can be observed when the refractive index is arger than 2 for the air annular PCs.
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Keywords:
- two-dimensional air annular photonic crystal /
- complete photonic band gap /
- plane wave expansion method
[1] Liu S H, Li C F 2006 Photonics Technology and Application (Vol. 1) (Guangzhou: Guangdong Science and Technology Press) p587 (in Chinese) [刘颂豪, 李淳飞 2006 光子学技术与应用 (上卷) (广州: 广东科技出版社) 第587页]
[2] Fan S H, Villeneuve P R, Joannopoulos J D, Haus H A 1998 Optics Express 3 4
[3] Qiu M, Jaskorzynska B 2003 Appl. Phys. Lett. 83 1074
[4] Chutinan A, Noda S 2000 Phys. Rev. B 62 4488
[5] Vlasov Y A, O’Boyle M, Hamann H F, McNab S J 2005 Nature 438 65
[6] Akahane Y, Asano T, Song B S, Noda S 2003 Nature 425 944
[7] Yoshie T, Scherer A, Hendrickson J, Khitrova G, Gibbs H M, Rupper G, Ell C, Shchekin O B, Deppe D G 2004 Nature 432 200
[8] Feng S S, Shen L F, He S L 2004 Acta Phys. Sin. 53 1540 (in Chinese) [冯尚申, 沈林放, 何赛灵 2004 53 1540]
[9] Hou J, Citrin D S, Wu H, Gao D S, Zhou Z P 2011 Opt. Lett.s 36 2263
[10] Li Z Y, Gu B Y, Yang G Z 1998 Phys. Rev. Lett. 81 2574
[11] Zhuang F, He S L, He J P, Feng S S 2002 Acta Phys. Sin. 51 355 (in Chinese) [庄飞, 何赛灵, 何江平, 冯尚申 2002 51 355]
[12] Susa N 2002 J. Appl. Phys. 91 3501
[13] Wang R Z, Wang X H, Gu B Y, Yang G Z 2001 J. Appl. Phys. 90 4307
[14] Anderson C M, Giapis K P 1996 Phys. Rev. Lett. 77 2949
[15] Kurt H, Citrin D S 2005 Optics Express 13 10316
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[1] Liu S H, Li C F 2006 Photonics Technology and Application (Vol. 1) (Guangzhou: Guangdong Science and Technology Press) p587 (in Chinese) [刘颂豪, 李淳飞 2006 光子学技术与应用 (上卷) (广州: 广东科技出版社) 第587页]
[2] Fan S H, Villeneuve P R, Joannopoulos J D, Haus H A 1998 Optics Express 3 4
[3] Qiu M, Jaskorzynska B 2003 Appl. Phys. Lett. 83 1074
[4] Chutinan A, Noda S 2000 Phys. Rev. B 62 4488
[5] Vlasov Y A, O’Boyle M, Hamann H F, McNab S J 2005 Nature 438 65
[6] Akahane Y, Asano T, Song B S, Noda S 2003 Nature 425 944
[7] Yoshie T, Scherer A, Hendrickson J, Khitrova G, Gibbs H M, Rupper G, Ell C, Shchekin O B, Deppe D G 2004 Nature 432 200
[8] Feng S S, Shen L F, He S L 2004 Acta Phys. Sin. 53 1540 (in Chinese) [冯尚申, 沈林放, 何赛灵 2004 53 1540]
[9] Hou J, Citrin D S, Wu H, Gao D S, Zhou Z P 2011 Opt. Lett.s 36 2263
[10] Li Z Y, Gu B Y, Yang G Z 1998 Phys. Rev. Lett. 81 2574
[11] Zhuang F, He S L, He J P, Feng S S 2002 Acta Phys. Sin. 51 355 (in Chinese) [庄飞, 何赛灵, 何江平, 冯尚申 2002 51 355]
[12] Susa N 2002 J. Appl. Phys. 91 3501
[13] Wang R Z, Wang X H, Gu B Y, Yang G Z 2001 J. Appl. Phys. 90 4307
[14] Anderson C M, Giapis K P 1996 Phys. Rev. Lett. 77 2949
[15] Kurt H, Citrin D S 2005 Optics Express 13 10316
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