Photonic band gaps of two-dimensional hexagon-lattice photonic crystals based on Taiji-shaped dielectric rods

Sheng Juan-Juan; He Xing-Dao; Liu Bin; Li Shu-Jing

doi:10.7498/aps.62.084213

Abstract

We present a novel structure of two-dimensional (2D) hexagon-lattice photonic crystal with asymmetrical scatterers-Taiji-shaped scatterers. The properties of photonic band gap (PBG) and the influence of parameter on absolute photonic band gap are analyzed by plane wave expansion method. The calculation results demonstrate that the reduction of scatterer symmetry can produce an increase in the number of PBG and a broadening of PBG width for both TE and TM model, which is conducive to obtaining wider and more absolute PBG. By optimizing the parameters of structure, we obtain the widest absolute PBG 0.0541(ωa / 2πc) at ε = 17, R= 0.38 μm, r=0.36R, and θ = 0° and the maximum of 8 absolute PBGs at ε = 16, R=0.44, r=0.2R, and θ = 0°.

Keywords:

Authors and contacts

1.
Key Laboratory of Nondestructive Test (Ministry of Education), Nanchang Hangkong University, Nanchang 330063, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61205119, 11104128).

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[25]	Zhao M M, Lü Y W, Yu J X 2008 Acta Phys. Sin. 57 1061 (in Chinese) [赵明明, 吕燕伍, 余家新 2008 57 1061]
[26]	Rezaei B, Khalkhali T F, Vala A S, Kalafi M 2009 Opt. Commun. 282 2861
[27]	Li H P, Jiang L Y, Jia W, Qiang H X, Li X Y 2009 J. Mod. Opt. 56 1220
[28]	Zhang Y, Kong L, Feng Z 2010 Optoelectron. Lett. 6 281
[29]	Wang Y F, Wang Y S, Su X X 2011 J. Appl. Phys. 110 113520
[30]	Xiao S S, Shen L F, He S L 2003 Phys. Lett. A 313 132
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[32]	Yannopapasy V, Stefanouy N, Modinosz A 1997 J. Phys.:Condens. Matter 9 10261
[33]	Yee K S 1966 IEEE Trans. Antenn. Propag. 14 302
[34]	Chen F S, Wu C L, Chou Y C 1999 Appl. Phys. Lett. 75 2429
[35]	Diviansky I B, Shishido A, Khoo Cl 2001 Appl. Phys. Lett. 79 3392
[36]	Masuda H, Yamada H, Satoh M 1994 Appl. Phys. Lett. 71 2770

Cited By

[1]	Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[2]	John S 1987 Phys. Rev. Lett. 58 2486
[3]	Ma X Y 2010 The Theory and Applications of Photonic Crystal (Vol. 1) (Beijing:Higher Education Press) pp2-3 (in Chinese) [马锡英 2010 光子晶体原理及应用 (北京:科学出版社) 第2–3页]
[4]	Ho K M, Chan C T, Soukoulis C M 1990 Phys. Rev. Lett. 65 3152
[5]	Chen M Y, Yu R J 2004 Opt. Commun. 235 63
[6]	Yang Q Q, Hou L T 2009 Acta Phys. Sin. 58 8345 (in Chinese) [杨倩倩, 侯蓝田 2009 58 8345]
[7]	Russell P 2003 Appl. Phys. Rev. 299 358
[8]	Lou S Q, Wang Z, Ren G B, Jian S S 2004 Phys. Rev. B 13 1052
[9]	Limpert J, Schmidt O, Rothhardt J, Röser F, T Schreiber, Tnnermann A 2006 Opt. Express 14 2715
[10]	Zhou C Z, Zhao L Y, Yuan L Z 2010 Chin. Phys. Lett. 27 084203
[11]	Wang C X, Xu X S, Li F, Du W, Xiong G G, Liu Y L, Chen H D 2006 Chin. Phys. Lett. 23 2472
[12]	Zhu G X, Yu T B, Chen S W, Shi Z, Hu S J, Lai Z Q, Liao Q H, Huang Y Z 2009 Acta Phys. Sin. 58 1014 (in Chinese) [朱桂新, 于天宝, 陈淑文, 石哲, 胡淑娟, 赖珍荃, 廖清华, 黄永箴 2009 58 1014]
[13]	Lu H, Tian H P, Li C H, Ji Y F 2009 Acta Phys. Sin. 58 2049 (in Chinese) [鲁辉, 田慧平, 李长红, 纪越峰 2009 58 2049]
[14]	Manzacca G, Paciotti D, Marchese A, Moreolo M S, Cincotti G 2007 Photonics Nanostruct. Fundam. Appl. 5 164
[15]	Szymanska M H, Hughes A F, Pike E R 1999 Phys. Rev. Lett. 83 69
[16]	David A, Benisty H, Weisbuch C 2007 J. Disp. Technol. 3 133
[17]	Zhang X S, Liu S, Liu Y 2008 Phys. Lett. A 372 3738
[18]	Wierer J J, David A, Megens M M 2009 Nat. Photonics 3 163
[19]	Matioli E, Brinkley S, Kelchner K M, Nakamura S, DenBaars S, Speck J, Weisbuch C 2011 Appl. Phys. Lett. 98 251112
[20]	Chhajed S, Lee W, Cho J, Schubert E F, Kim J K 2011 Appl. Phys. Lett. 98 071102
[21]	Li L, Xie Y C, Wang Y Q, Hu X Y, Feng Z F, Cheng B Y 2003 Phys. Rev. Lett. 20 1767
[22]	Trifonov T, M arsal L F 2004 Phys. Rev. B 69 235112
[23]	Cai X H, Zheng W H, Ma X T, Ren G, Xia J B 2005 Chin. Phys. 14 2507
[24]	Zhong K, Zhang H Y, Zhang Y P, Li X F, Wang P, Yao J Q 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]
[25]	Zhao M M, Lü Y W, Yu J X 2008 Acta Phys. Sin. 57 1061 (in Chinese) [赵明明, 吕燕伍, 余家新 2008 57 1061]
[26]	Rezaei B, Khalkhali T F, Vala A S, Kalafi M 2009 Opt. Commun. 282 2861
[27]	Li H P, Jiang L Y, Jia W, Qiang H X, Li X Y 2009 J. Mod. Opt. 56 1220
[28]	Zhang Y, Kong L, Feng Z 2010 Optoelectron. Lett. 6 281
[29]	Wang Y F, Wang Y S, Su X X 2011 J. Appl. Phys. 110 113520
[30]	Xiao S S, Shen L F, He S L 2003 Phys. Lett. A 313 132
[31]	Johnson S G, Joannopoulos J D 2001 Opt. Express 8 173
[32]	Yannopapasy V, Stefanouy N, Modinosz A 1997 J. Phys.:Condens. Matter 9 10261
[33]	Yee K S 1966 IEEE Trans. Antenn. Propag. 14 302
[34]	Chen F S, Wu C L, Chou Y C 1999 Appl. Phys. Lett. 75 2429
[35]	Diviansky I B, Shishido A, Khoo Cl 2001 Appl. Phys. Lett. 79 3392
[36]	Masuda H, Yamada H, Satoh M 1994 Appl. Phys. Lett. 71 2770

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