石墨烯基双曲色散特异材料的负折射与体等离子体性质

龚健; 张利伟; 陈亮; 乔文涛; 汪舰

doi:10.7498/aps.64.067301

摘要

基于有效介质理论研究了石墨烯/介质周期结构的电磁性质, 研究发现这种复合结构的等频面在太赫兹和远红外波段为双曲线, 可用来实现石墨烯基双曲色散特异材料. 通过改变石墨烯的费米能级、介质层厚度和单元结构中石墨烯的层数, 可很容易地调节双曲色散存在的频段. 由于等频面的双曲色散特性, 石墨烯基双曲色散特异材料在远低于截止频率的范围内, 对斜入射的电磁波具有负的能量折射率和正的相位折射率, 并支持局域体等离子体模式. 基于衰减全反射结构, 研究了体等离子体的激发, 探索了体等离子体在可调的光学反射调制器中的应用.

关键词:

Abstract

We theoretically investigate the electromagnetic properties of the multilayer graphene-dielectric composite materials based on the effective medium theory. It is found that the structure exhibits hyperbolic isofrequency wavevector dispersions at THz and far-infrared frequencies, hence thereby realizing the effective graphene-based hyperbolic metamaterials (HMM). The frequncy band of the hyperbolic dispersion can be tuned by changing the Fermi energy of graphene sheet, the thickness of the dielectric layer and the layer number of graphene sheets. Because of the hyperbolic dispersion, graphene-based HMM possesses a negative energy refraction and positive phase refraction for oblique incidence at far below the critical frequency. The highly confined bulk polariton modes are also supported. Based on the attenuated total reflection configuration, the excitation of the bulk polariton mode is studied, in addition, such properties used in the tunable optical reflection modulation are also explored.

Keywords:

作者及机构信息

1.
河南理工大学物理化学学院, 焦作 454000;

2.
河南理工大学土木工程学院, 焦作 454000

基金项目: 国家自然科学基金(批准号: 10904032, 11204068, 11405045)、河南省教育厅自然科学基金(批准号: 14A140011, 2012GGJS-060)、河南理工大学杰出青年基金(批准号: J2013-09)、河南理工大学创新型科研团队支持计划(批准号：T2015-3）和河南理工大学博士基金(批准号: B2009-92, B2009-61)资助的课题.

Authors and contacts

1.
School of Physics and Chemistry, Henan Polytechnic University, Jiaozuo 454000, China;

2.
School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10904032, 11204068, 11405045), the Foundations of Henan Educational Committee, China (Grant Nos. 14A140011, 2012GGJS-060), the Henan Polytechnic University Program for Distinguished Young Scholars, China (Grant No. J2013-09), the Henan Polytechnic University Program for Innovative Research Team, China (Grant No. T2015-3), and the Doctoral Foundation of Henan Polytechnic University, China (Grant Nos. B2009-92, B2009-61).

参考文献

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[2]	Drachev V P, Podolskiy V A, Kildishev A V 2013 Opt. Express 21 15048
[3]	Argyropoulos C, Estakhri N M, Monticone F, Alú A 2013 Opt. Express 21 15037
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[8]	Zhukovsky S V, Kidwai O, Sipe J E 2013 Opt. Express 21 14982
[9]	Noginov M A, Barnakov A, Zhu G, Tumkur T, Li H Narimanov E E 2009 Appl. Phys. Lett. 94 151105
[10]	Vinogradov A P, Dorofeenko A V, Nechepurenko I A 2010 Metamaterials 4 181
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[13]	Grigorenko A N, Polini M, Novoselov K S 2012 Nature Photon. 6 749
[14]	Guo B D, Fang L, Zhang B H, Gong J R 2011 Insciences J. 1 80
[15]	Fei Z, Rodin A S, Andreev G O, Bao W, McLeod A S, Wagner M, Zhang L M, Zhao Z, Thiemens M, Dominguez G, Fogler M M, Neto A H C, Lau C N, Keilmann F, Basov D N 2012 Nature 487 82
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[17]	Othman M A K, Guclu C, Capolino F 2013 J. Nanophoton. 7 073089
[18]	Wu H Q, Linghu C Y, L H M, Qian H 2013 Chin. Phys. B 22 098106
[19]	Zhang L, Fu X L, Lei M, Chen J J, Yang J Z, Peng Z J, Tang W H 2014 Chin. Phys. B 23 038101
[20]	Iorsh I V, Mukhin I S, Shadrivov I V, Belov P A, Kivshar Y S 2013 Phys. Rev. B 87 075416
[21]	Zhang T, Chen L, Li X 2013 Opt. Express 21 20888
[22]	Zhu B F, Ren G B, Zheng S W, Lin Z, Jian S S 2013 Opt. Express 21 17089
[23]	Xiang Y J, Guo J, Dai X Y, Wen S C, Tang D Y 2014 Opt. Express 22 3054
[24]	Tao H, Bingham C M, Strikwerda A C, Pilon D, Shrekenhamer D, Landy N I, Fan K, Zhang X, Padilla W J, Averitt R D 2008 Phys. Rev. B 78 241103(R)
[25]	Kidwai O, Zhukovsky S V, Sipe J E 2012 Phys. Rev. A 85 053842
[26]	Hu L B, Chui S T 2002 Phys. Rev. B 66 085108
[27]	Grzegorczyk T M, Nikku M, Chen X D, Wu B I, Kong J A 2005 IEEE Trans. Microw. Theory Tech. 53 1443
[28]	Avrutsky I, Salakhutdinov I, Elser J, Podolskiy V 2007 Phys. Rev. B 75 241402
[29]	Xu H J, Lu W B, Zhu W, Dong Z G, Cui T J 2012 Appl. Phys. Lett. 100 243110
[30]	Chen C F, Park C H, Boudouris B W, Horng J, Geng B, Girit C, Zettl A, Crommie M F, Segalman R A, Louie S G, Wang F 2011 Nature 471 617
[31]	Shi X L, Zheng S L, Chi H, Jin X F, Zhang X M 2013 Opt. Laser Technol. 49 316
[32]	Li J S 2013 Opt. Commun. 296 137

施引文献

[1]	Smith D R, Schultz S 2003 Phys. Rev. Lett. 90 077405
[2]	Drachev V P, Podolskiy V A, Kildishev A V 2013 Opt. Express 21 15048
[3]	Argyropoulos C, Estakhri N M, Monticone F, Alú A 2013 Opt. Express 21 15037
[4]	Sreekanth K V, Luca A De, Strangi G 2013 Appl. Phys. Lett. 103 023107
[5]	Wood B, Pendry J B, Tsai D P 2006 Phys. Rev. B 74 115116
[6]	Kotynski R, Stefaniuk T 2010 Opt. Lett. 35 1133
[7]	Xiang Y J, Dai X Y, We S C, Fan D Y 2007 J. Appl. Phys. 102 093107
[8]	Zhukovsky S V, Kidwai O, Sipe J E 2013 Opt. Express 21 14982
[9]	Noginov M A, Barnakov A, Zhu G, Tumkur T, Li H Narimanov E E 2009 Appl. Phys. Lett. 94 151105
[10]	Vinogradov A P, Dorofeenko A V, Nechepurenko I A 2010 Metamaterials 4 181
[11]	Dong H M 2013 Acta Phys. Sin. 62 237804 (in Chinese) [董海明 2013 物理学报 62 237804]
[12]	Novoselov K S, Falko V I, Colombo L, Gellert P R, Schwab M G, Kim K 2012 Nature 490 192
[13]	Grigorenko A N, Polini M, Novoselov K S 2012 Nature Photon. 6 749
[14]	Guo B D, Fang L, Zhang B H, Gong J R 2011 Insciences J. 1 80
[15]	Fei Z, Rodin A S, Andreev G O, Bao W, McLeod A S, Wagner M, Zhang L M, Zhao Z, Thiemens M, Dominguez G, Fogler M M, Neto A H C, Lau C N, Keilmann F, Basov D N 2012 Nature 487 82
[16]	Xie L Y, Xiao W B, Huang G Q, Hu A R, Liu J T 2014 Acta Phys. Sin. 63 057803 (in Chinese) [谢凌云, 肖文波, 黄国庆, 胡爱荣, 刘江涛 2014 物理学报 63 057803]
[17]	Othman M A K, Guclu C, Capolino F 2013 J. Nanophoton. 7 073089
[18]	Wu H Q, Linghu C Y, L H M, Qian H 2013 Chin. Phys. B 22 098106
[19]	Zhang L, Fu X L, Lei M, Chen J J, Yang J Z, Peng Z J, Tang W H 2014 Chin. Phys. B 23 038101
[20]	Iorsh I V, Mukhin I S, Shadrivov I V, Belov P A, Kivshar Y S 2013 Phys. Rev. B 87 075416
[21]	Zhang T, Chen L, Li X 2013 Opt. Express 21 20888
[22]	Zhu B F, Ren G B, Zheng S W, Lin Z, Jian S S 2013 Opt. Express 21 17089
[23]	Xiang Y J, Guo J, Dai X Y, Wen S C, Tang D Y 2014 Opt. Express 22 3054
[24]	Tao H, Bingham C M, Strikwerda A C, Pilon D, Shrekenhamer D, Landy N I, Fan K, Zhang X, Padilla W J, Averitt R D 2008 Phys. Rev. B 78 241103(R)
[25]	Kidwai O, Zhukovsky S V, Sipe J E 2012 Phys. Rev. A 85 053842
[26]	Hu L B, Chui S T 2002 Phys. Rev. B 66 085108
[27]	Grzegorczyk T M, Nikku M, Chen X D, Wu B I, Kong J A 2005 IEEE Trans. Microw. Theory Tech. 53 1443
[28]	Avrutsky I, Salakhutdinov I, Elser J, Podolskiy V 2007 Phys. Rev. B 75 241402
[29]	Xu H J, Lu W B, Zhu W, Dong Z G, Cui T J 2012 Appl. Phys. Lett. 100 243110
[30]	Chen C F, Park C H, Boudouris B W, Horng J, Geng B, Girit C, Zettl A, Crommie M F, Segalman R A, Louie S G, Wang F 2011 Nature 471 617
[31]	Shi X L, Zheng S L, Chi H, Jin X F, Zhang X M 2013 Opt. Laser Technol. 49 316
[32]	Li J S 2013 Opt. Commun. 296 137

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