低对称性光子晶体超宽带全角自准直传输的机理研究

梁文耀; 张玉霞; 陈武喝

doi:10.7498/aps.64.064209

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摘要

提出了一种低对称性椭圆介质柱二维光子晶体结构, 利用平面波展开法研究了该结构在第一布里渊区的能带特性. 讨论了全角自准直效应的物理机制及椭圆柱结构参数对其带宽的影响, 明确给出了自准直传播模式的存在判据. 研究发现, 自准直模式几乎覆盖了TE偏振的整个第四能带, 而且该能带面上存在两个横跨第一布里渊区的超宽平坦区域. 时域有限差分法模拟结果表明, 利用超宽平坦区域的特性, 可同时实现带宽达187 nm (以1550 nm为中心波长)、准直入射角度几乎覆盖0°–90°的宽带全角自准直光传输.

关键词:

作者及机构信息

1.
华南理工大学物理与光电学院, 广州 510640

基金项目: 国家自然科学基金(批准号: 11247253)、华南理工大学中央高校基本科研业务费(批准号: 2014ZM0079) 和2013年广东省高等学校教学质量与教学改革工程(批准号: N913061a)资助的课题.

参考文献

[1]	Kosaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1999 Appl. Phys. Lett. 74 1212
[2]	Witzens J, Loncar M, Scherer A 2002 IEEE J. Sel. Top. Quantum Electron. 8 1246
[3]	Fan C Z, Wang J Q, He J N, Ding P, Liang E J 2013 Chin. Phys. B 22 074211
[4]	Zhang H F, Liu S B, Li B X 2014 Ann. Phys. 347 110
[5]	Liu H, Liu D, Zhao H, Gao Y H 2013 Acta Phys. Sin. 62 194208 (in Chinese) [刘会, 刘丹, 赵恒, 高义华 2013 物理学报 62 194208]
[6]	Yue Q Y, Kong F M, Li K, Zhao J 2012 Acta Phys. Sin. 61 208502 (in Chinese) [岳庆炀, 孔凡敏, 李康, 赵佳 2012 物理学报 61 208502]
[7]	Wang X, Gao W S, Hung J, Tam W Y 2014 Appl. Opt. 53 2425
[8]	Liang W Y, Chen W H, Yin M, Yin C P 2014 J. Opt. 16 065101
[9]	Li W, Zhang X, Lin X, Jiang X 2014 Opt. Lett. 39 4486
[10]	Liang W Y, Liu X M, Yin M 2013 J. Phys. D: Appl. Phys. 46 495109
[11]	Jin L, Zhu Q Y, Fu Y Q 2013 Chin. Phys. B 22 094102
[12]	Jia T, Baba M, Suzuki M, Ganeev R A, Kuroda H, Qiu J, Wang X, Li R, Xu Z 2008 Opt. Express 16 1874
[13]	Zhang X, Chen Y H 2012 J. Opt. Soc. Am. B 29 2704
[14]	Lawrence F J, de Sterke C M, Botten L C, McPhedran R C, Dossou K B 2013 Adv. Opt. Photon. 5 385
[15]	Park J M, Lee S G, Park H Y, Kim J E 2008 Opt. Express 16 20354
[16]	Jiang L Y, Wu H, Li X Y 2014 J. Opt. 43 108
[17]	Chigrin D N, Enoch S, Sotomayor Torres C M, Tayeb G 2003 Opt. Express 11 1203
[18]	Xu Y, Chen X J, Lan S, Guo Q, Hu W, Wu L J 2008 J. Opt. A: Pure Appl. Opt. 10 085201
[19]	Wu Z H, Xie K, Yang H J, Jiang P, He X J 2012 J. Opt. 14 015002
[20]	Gan L, Qin F, Li Z Y 2012 Opt. Lett. 37 2412
[21]	Aghadjani M, Shahabadi M 2013 J. Opt. Soc. Am. B 30 3140
[22]	Zhao D, Zhou C, Gong Q, Jiang X 2008 J. Phys. D: Appl. Phys. 41 115108
[23]	Wang Y, Wang H, Xue Q, Zheng W 2012 Opt. Express 20 12111
[24]	Cheng L F, Ren C, Wang P, Feng S 2014 Acta Phys. Sin. 63 154213 (in Chinese) [程立锋, 任承, 王萍, 冯帅 2014 物理学报 63 154213]
[25]	Johnson S G, Joannopoulos J D 2001 Opt. Express 8 173
[26]	Joannopoulos J D, Jonhson S G, Winn J N, Meade R D 2008 Photonic Crystals: Molding the Flow of Light (2nd Ed.) (Princeton NJ: Princeton University Press
[27]	Foteinopoulou S, Soukoulis C M 2003 Phys. Rev. B 67 235107
[28]	Hsieh M L, Lan Y S 2008 J. Vac. Sci. Technol. B 26 914
[29]	Taflove A, Hagness S C 2000 Computational Electrodynamics: The Finite-Difference Time-Domain Method (2nd Ed.) (Boston, MA: Artech House) chapter 3
[30]	Witzens J, Hochberg M, Baehr-Jones T, Scherer A 2004 Phsy. Rev. E 69 046609

施引文献

[1]	Kosaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1999 Appl. Phys. Lett. 74 1212
[2]	Witzens J, Loncar M, Scherer A 2002 IEEE J. Sel. Top. Quantum Electron. 8 1246
[3]	Fan C Z, Wang J Q, He J N, Ding P, Liang E J 2013 Chin. Phys. B 22 074211
[4]	Zhang H F, Liu S B, Li B X 2014 Ann. Phys. 347 110
[5]	Liu H, Liu D, Zhao H, Gao Y H 2013 Acta Phys. Sin. 62 194208 (in Chinese) [刘会, 刘丹, 赵恒, 高义华 2013 物理学报 62 194208]
[6]	Yue Q Y, Kong F M, Li K, Zhao J 2012 Acta Phys. Sin. 61 208502 (in Chinese) [岳庆炀, 孔凡敏, 李康, 赵佳 2012 物理学报 61 208502]
[7]	Wang X, Gao W S, Hung J, Tam W Y 2014 Appl. Opt. 53 2425
[8]	Liang W Y, Chen W H, Yin M, Yin C P 2014 J. Opt. 16 065101
[9]	Li W, Zhang X, Lin X, Jiang X 2014 Opt. Lett. 39 4486
[10]	Liang W Y, Liu X M, Yin M 2013 J. Phys. D: Appl. Phys. 46 495109
[11]	Jin L, Zhu Q Y, Fu Y Q 2013 Chin. Phys. B 22 094102
[12]	Jia T, Baba M, Suzuki M, Ganeev R A, Kuroda H, Qiu J, Wang X, Li R, Xu Z 2008 Opt. Express 16 1874
[13]	Zhang X, Chen Y H 2012 J. Opt. Soc. Am. B 29 2704
[14]	Lawrence F J, de Sterke C M, Botten L C, McPhedran R C, Dossou K B 2013 Adv. Opt. Photon. 5 385
[15]	Park J M, Lee S G, Park H Y, Kim J E 2008 Opt. Express 16 20354
[16]	Jiang L Y, Wu H, Li X Y 2014 J. Opt. 43 108
[17]	Chigrin D N, Enoch S, Sotomayor Torres C M, Tayeb G 2003 Opt. Express 11 1203
[18]	Xu Y, Chen X J, Lan S, Guo Q, Hu W, Wu L J 2008 J. Opt. A: Pure Appl. Opt. 10 085201
[19]	Wu Z H, Xie K, Yang H J, Jiang P, He X J 2012 J. Opt. 14 015002
[20]	Gan L, Qin F, Li Z Y 2012 Opt. Lett. 37 2412
[21]	Aghadjani M, Shahabadi M 2013 J. Opt. Soc. Am. B 30 3140
[22]	Zhao D, Zhou C, Gong Q, Jiang X 2008 J. Phys. D: Appl. Phys. 41 115108
[23]	Wang Y, Wang H, Xue Q, Zheng W 2012 Opt. Express 20 12111
[24]	Cheng L F, Ren C, Wang P, Feng S 2014 Acta Phys. Sin. 63 154213 (in Chinese) [程立锋, 任承, 王萍, 冯帅 2014 物理学报 63 154213]
[25]	Johnson S G, Joannopoulos J D 2001 Opt. Express 8 173
[26]	Joannopoulos J D, Jonhson S G, Winn J N, Meade R D 2008 Photonic Crystals: Molding the Flow of Light (2nd Ed.) (Princeton NJ: Princeton University Press
[27]	Foteinopoulou S, Soukoulis C M 2003 Phys. Rev. B 67 235107
[28]	Hsieh M L, Lan Y S 2008 J. Vac. Sci. Technol. B 26 914
[29]	Taflove A, Hagness S C 2000 Computational Electrodynamics: The Finite-Difference Time-Domain Method (2nd Ed.) (Boston, MA: Artech House) chapter 3
[30]	Witzens J, Hochberg M, Baehr-Jones T, Scherer A 2004 Phsy. Rev. E 69 046609

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低对称性光子晶体超宽带全角自准直传输的机理研究

1. 华南理工大学物理与光电学院, 广州 510640

基金项目:

国家自然科学基金(批准号: 11247253)、华南理工大学中央高校基本科研业务费(批准号: 2014ZM0079) 和2013年广东省高等学校教学质量与教学改革工程(批准号: N913061a)资助的课题.

收稿日期: 2014-08-25

修回日期: 2014-10-02

刊出日期: 2015-03-05

摘要: 提出了一种低对称性椭圆介质柱二维光子晶体结构, 利用平面波展开法研究了该结构在第一布里渊区的能带特性. 讨论了全角自准直效应的物理机制及椭圆柱结构参数对其带宽的影响, 明确给出了自准直传播模式的存在判据. 研究发现, 自准直模式几乎覆盖了TE偏振的整个第四能带, 而且该能带面上存在两个横跨第一布里渊区的超宽平坦区域. 时域有限差分法模拟结果表明, 利用超宽平坦区域的特性, 可同时实现带宽达187 nm (以1550 nm为中心波长)、准直入射角度几乎覆盖0°–90°的宽带全角自准直光传输.

关键词:

Physical mechanism of super-broadband and all-angle self-collimation transmission in photonic crystal with low rotational symmetry

1.
School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510640, China

Fund Project:

Project supported by the National Natural Science Foundation of China (Grant No. 11247253), the Fundamental Research Funds for the Central Universities, China (Grant No. 2014ZM0079), and the Teaching Quality and Teaching Reform Engineering of Colleges in Guangdong Province (Grant No. N913061a).

Received Date: 25 August 2014

Accepted Date: 02 October 2014

Published Online: 05 March 2015

Abstract: We propose a two-dimensional photonic crystal structure with low rotational symmetry and investigate its band structure characteristics over the whole first Brillouin zone by the plane wave expand method. The physical mechanism of broadband all-angle self-collimation effect and the influence of aspect ratio on the bandwidth are clarified. Furthermore, we obtain the existence criterion for self-collimation modes covering almost the whole fourth band for TE polarization. Especially, there exist two wide flat regions spanning over the first Brillouin zone which exhibit unique properties: one dimension corresponds to broad band from 0.47 to 0.53 (2πc/a), while the other corresponds to all incident angles of 0°–90°. Based on the above unique properties, the broadband all-angle self-collimation propagation with a bandwidth of 187 nm around 1550 nm is demonstrated by the finite-difference time-domain method.

Keywords:

photonic crystals /
all-angle self-collimation transmission /
group velocity /
broad band

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