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Plane wave expansion method is applied to simulate the bandgap of two-dimensional photonic crystals made of a triangular lattice of dielectric rods(circular,hexagon,square cross sections) in air. Moreover, the effect on band gap of a triangular lattice of square dielectric rods in air is discussed as a function of the rotation angle, the refractive index and the filling fraction, respectively. In the low frequency region, the maximum complete photonic band gap appears when the rotation angle equals 17 degrees. the maximum complete photonic band gap can be attained steadily as the refractive index changes continuously. In the high frequency region, the maximum complete photonic band gap appears when the rotation angle equals 30 degrees. The complete photonic band gap is observed when the refractive index is greater than 2.2. The width of complete photonic band gap reaches the maximum when the dielectric refractive index is equal to 2.6.
[1] John S 1987 Phys. Rev. Lett. 58 2486
[2] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[3] Takeda H, Yoshino K 2003 Phys. Rev. B67 245109
[4] Cai X H, Zheng W H, Ma X T, Ren G, Xia J B 2005 Chin. Phys. B14 2507
[5] Villeneuve P R, Piche M 1992 Phys. Rev. B46 4969
[6] Lin P, Wataru N, Yeshaiahu F 2003 Appl. Opt. 42 5450
[7] Jin C J, Johnson N P, Chong H M 2005 Opt. Express 13 2295
[8] Ng W N, Leung C H, Lai P T 2008 Nanotechnol. 19 255302
[9] Kengo N, Shota K, Toshihiko B 2007 Opt. Express 15 7506
[10] Knight J C 2003 Nature 424 847
[11] Russell P 2003 Science 299 358
[12] Gruning U, Lehmann V, Ottow S 1996 Appl. Phys. Lett. 68 747
[13] Meade R D, Brommer K D, Rappe A M 1992 Appl. Phys. Lett. 61 495
[14] Joannopoulos J D, Villeneuve P R 1997 Nature 386 143
[15] Bostan C G, Ridder R M 2002 J. Optoelectron. Adv. Mater. 54 4921
[16] Ma Z, Ogusa K 2009 Opt. Commun. 282 1322
[17] 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]
[18] Anderson C M, Giapis K P 1996 Phys. Rev. Lett. 77 2949
[19] Neff C W, Summers C J 2005 Opt. Express 13 3166
[20] Zhong K, Zhang H Y, Zhang Y P, Li X F, Wang P, Yao J S 2007 Acta Phys. Sin. 56 7029 (in Chinese) [钟 凯、张会云、张玉萍、李喜福、王 鹏、姚建铨 2007 56 7029]
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[1] John S 1987 Phys. Rev. Lett. 58 2486
[2] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[3] Takeda H, Yoshino K 2003 Phys. Rev. B67 245109
[4] Cai X H, Zheng W H, Ma X T, Ren G, Xia J B 2005 Chin. Phys. B14 2507
[5] Villeneuve P R, Piche M 1992 Phys. Rev. B46 4969
[6] Lin P, Wataru N, Yeshaiahu F 2003 Appl. Opt. 42 5450
[7] Jin C J, Johnson N P, Chong H M 2005 Opt. Express 13 2295
[8] Ng W N, Leung C H, Lai P T 2008 Nanotechnol. 19 255302
[9] Kengo N, Shota K, Toshihiko B 2007 Opt. Express 15 7506
[10] Knight J C 2003 Nature 424 847
[11] Russell P 2003 Science 299 358
[12] Gruning U, Lehmann V, Ottow S 1996 Appl. Phys. Lett. 68 747
[13] Meade R D, Brommer K D, Rappe A M 1992 Appl. Phys. Lett. 61 495
[14] Joannopoulos J D, Villeneuve P R 1997 Nature 386 143
[15] Bostan C G, Ridder R M 2002 J. Optoelectron. Adv. Mater. 54 4921
[16] Ma Z, Ogusa K 2009 Opt. Commun. 282 1322
[17] 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]
[18] Anderson C M, Giapis K P 1996 Phys. Rev. Lett. 77 2949
[19] Neff C W, Summers C J 2005 Opt. Express 13 3166
[20] Zhong K, Zhang H Y, Zhang Y P, Li X F, Wang P, Yao J S 2007 Acta Phys. Sin. 56 7029 (in Chinese) [钟 凯、张会云、张玉萍、李喜福、王 鹏、姚建铨 2007 56 7029]
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