含双曲超构材料的复合周期结构的带隙调控及应用

吴丰; 郭志伟; 吴家驹; 江海涛; 杜桂强

doi:10.7498/aps.69.20200084

摘要

等频面的拓扑结构强烈影响光在材料中的行为. 通常组成光子晶体原胞的材料都是介电材料, 其等频面都具有相同的封闭拓扑结构. 结构最为简单的光子晶体是由两种介电材料交替组成的一维光子晶体. 然而, 这种传统的光子晶体在横磁和横电偏振下的光子带隙将随着入射角的增大而向短波方向移动, 既不利于全向带隙的产生与展宽, 又使得基于光子带隙的一些应用限制在很窄的入射角度范围内. 本综述利用双曲超构材料对电磁波相位的独特调控作用, 在由具有开放的等频面的双曲超构材料和具有封闭的等频面的普通介电材料交替组成的复合周期结构中实现了随入射角零移以及红移的特殊带隙, 为研制具有新型功能的光学器件提供了新机理. 基于零移带隙, 可设计具有固定带宽的全向反射器和宽角度的近完美光吸收器. 基于红移带隙, 可设计宽角度的偏振选择器和超灵敏折射率传感器.

关键词:

Abstract

Behaviours of light in materials strongly depend on the topological structure of the iso-frequency surface (IFS). The usual materials, of which the unit cell of photonic crystal is made up, are dielectrics, whose IFSs have the same closed topological structure. As a simplest photonic crystal, one-dimensional photonic crystal (1DPC) has attracted intensive attention due to its simple fabrication technique as well as numerous applications. However, in a conventional all-dielectric 1DPC, photonic band gaps (PBGs) for both transverse magnetic (TM) and transverse electric (TE) polarizations will shift toward short wavelengths (i.e. blueshift) as incident angle increases. The underlying physical reason is that the propagating phase in isotropic dielectric will decrease as incident angle increases. The blueshift property of band gap for TM and TE polarization will limit the band width of omnidirectional band gap and the range of operating incident angles in some PBG-based applications, including near-perfect absorption, polarization selection and sensitive refractive index sensing. However, for TM polarization, the propagating phase in a hyperbolic metamaterial (HMM) will increase with incident angle increasing. This special phase property of HMM provides us with a way to flexibly tune the angle-dependent property of band gap in periodic compound structure composed of alternative HMM with open IFS and dielectric with close IFS. In this review, we realize zeroshift (i.e. angle-independent) band gaps as well as redshift band gaps in 1DPCs containing HMMs, which can be utilized to realize near-perfect absorption, sensitive refractive index sensing and polarization selection working in a wide range of incident angles.

Keywords:

作者及机构信息

1.
同济大学物理科学与工程学院, 先进微结构材料教育部重点实验室, 上海　200092

2.
广东技术师范大学光电工程学院, 广州　510665

3.
山东大学空间科学与物理学院, 威海　264209

通信作者: 江海涛, jiang-haitao@tongji.edu.cn

基金项目: 国家级-国家重点研发计划(批准号: 2016YFA0200503) 资助的课题(2016YFA0301101)

Authors and contacts

1.
Ministry of Education Key Laboratory of Advanced Microstructure Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China

2.
School of Optoelectronic Engineering, Guangdong Polytechnic Normal University, Guangzhou 510665, China

3.
School of Space Science and Physics, Shandong Univeristy, Weihai 264209, China

Corresponding author: Jiang Hai-Tao, jiang-haitao@tongji.edu.cn

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参考文献

[1]	Smith D R, Schurig D 2003 Phys. Rev. Lett. 90 077405 Google Scholar
[2]	Drachev V P, Podolskiy V A, Kildishev A V 2013 Opt. Express 21 15048 Google Scholar
[3]	Poddubny A, Iorsh I, Belov P, Kivshar Y 2013 Nat. Photonics 7 948 Google Scholar
[4]	Shekhar P, Atkinson J, Jacob Z 2014 Nano Converg. 1 14 Google Scholar
[5]	Ferrari L, Wu C, Lepage D, Zhang X, Liu Z 2015 Prog. Quant. Electron. 40 1 Google Scholar
[6]	Guo Z W, Jiang H T, Chen H 2020 J. Appl. Phys. 127 071101
[7]	Yao J, Liu Z, Liu Y, Wang Y, Sun C, Bartal G, Stacy A M, Zhang X 2008 Science 321 930 Google Scholar
[8]	High A A, Devlin R C, Dibos A, Polking M, Wild D S, Perczel J, de Leon N P, Lukin M D, Park H 2015 Nature 522 192 Google Scholar
[9]	龚健, 张利伟, 陈亮, 乔文涛, 汪舰 2015 64 067301 Google Scholar Gong J, Zhang L W, Chen L, Qiao W T, Wang J 2015 Acta Phys. Sin. 64 067301 Google Scholar
[10]	Jacob Z, Kim J Y, Naik G V, Boltasseva A, Narimanov E E, Shalaev V M 2010 Appl. Phys. B 100 215 Google Scholar
[11]	Krishnamoorthy H N S, Jacob Z, Narimanov E, Kretzschmar I, Menon V M 2012 Science 336 205 Google Scholar
[12]	Narimanov E E 2014 Phys. Rev. X 4 041014
[13]	Peragut F, Cerutti L, Baranov A, Hugonin J P, Taliercio T, Wilde D, Greffet J J 2017 Optica 4 1409 Google Scholar
[14]	Guo Z, Jiang H, Li Y, Chen H, Agarwal G S 2018 Opt. Express 26 627 Google Scholar
[15]	Yu K, Guo Z, Jiang H, Chen H 2016 J. Appl. Phys. 119 203102 Google Scholar
[16]	Guo Z, Jiang H, Zhu K, Sun Y, Li Y, Chen H 2018 Phys. Rev. Appl. 10 064048 Google Scholar
[17]	Ren M, Liu Y, Yu S, Dong L, Liu L, Deng F, Shi Y 2019 Eur. Phys. J. Plus 134 301 Google Scholar
[18]	Yin X, Zhu H, Guo H, Deng M, Xu T, Gong Z, Li X, Hang Z H, Wu C, Li H, Chen S, Zhou L, Chen L 2019 Laser Photonics Rev. 13 1800081 Google Scholar
[19]	Li H, Hao W, Yin X, Chen S, Chen L 2019 Adv. Opt. Mater. 7 1900493 Google Scholar
[20]	Casse B D F, Lu W T, Huang Y J, Gultepe E, Menon L, Sridhar S 2010 Appl. Phys. Lett. 96 023114 Google Scholar
[21]	Huo P, Liang Y, Zhang S, Lu Y, Xu T 2018 Laser Photonics Rev. 12 1700309 Google Scholar
[22]	Kim M, Lee D, Kim T H, Yang Y, Park H J, Rho J 2019 ACS Photonics 6 2530 Google Scholar
[23]	Yao J, Yang X, Yin X, Bartal G, Zhang X 2011 P. Natl. Acad. Sci. USA 108 11327 Google Scholar
[24]	Sreekanth K V, Ouyang Q, Sreejith S, Zeng S, Lishu W, Ilker E, Dong W, El-Kabbash M, Ting Y, Lim C T, Hinczewski M, Strangi G, Yong K, Simpson R E, Singh R 2019 Adv. Opt. Mater. 7 1900081 Google Scholar
[25]	Qi H, Sang T, Wang L, Yin X, Wang J, Wang Y 2019 Appl. Sci. 9 2011 Google Scholar
[26]	Guo Y, Cortes C L, Molesky S, Jacob Z 2012 Appl. Phys. Lett. 101 131106 Google Scholar
[27]	Xu T, Lezec H J 2011 Nat. Commun. 5 4141 Google Scholar
[28]	Yang X, Yao J, Rho J, Yin X, Zhang X 2012 Nat. Photonics 6 450 Google Scholar
[29]	Sreekanth K V, Alapan Y, ElKabbash M, Ilker E, Hinczewski M, Gurkan U A, de Luca A, Strangi G 2016 Nat. Mater. 15 621 Google Scholar
[30]	Baqir M A, Farmani A, Fatima T, Raza M R, Shaukat S F, Mir A 2018 Appl. Opt. 57 9447 Google Scholar
[31]	Zhou J, Kaplan A F, Chen L, Guo L J 2014 ACS Photonics 1 618 Google Scholar
[32]	Inoue K, Ohtaka K 2004 Photonic Crystals: Physics, Fabrication and Applications (Berlin: Springer Press)
[33]	Sakoda K 2005 Optical Properties of Photonic Crystals (Berlin: Springer Press)
[34]	Joannopoulos J D, Johnson S G, Winn J N, Meade R D 2008 Photonic Crystals: Molding the Flow of Light (New Jersey: Princeton University Press)
[35]	Gong Q, Hu X 2013 Photonic Crystals: Principles and Applications (Boca Raton: CRC Press)
[36]	Zhu X 2015 Opt. Express 23 22274 Google Scholar
[37]	Ding K, Zhang Z Q, Chan C T 2015 Phys. Rev. B 92 235310 Google Scholar
[38]	Zhu X, Peng Y, Zhao D 2014 Opt. Express 22 18401 Google Scholar
[39]	Zhu X, Feng L, Zhang P, Yin X, Zhang X 2013 Opt. Lett. 38 2821 Google Scholar
[40]	Vlasov Y A, Bo X, Sturm J C, Norris D J 2001 Nature 414 289
[41]	Akahane Y, Asano T, Song B S, Noda S 2003 Nature 425 944 Google Scholar
[42]	万钧, 张淳, 王灵俊, 资剑 1999 物理 28 393 Google Scholar Wan J, Zhang C, Wang L J, Zi J 1999 Physics 28 393 Google Scholar
[43]	倪培根 2010 59 340 Google Scholar Ni P G 2010 Acta Phys. Sin. 59 340 Google Scholar
[44]	Lončar M, Yoshie T, Scherer A, Gogna P, Qiu Y 2002 Appl. Phys. Lett. 81 2680 Google Scholar
[45]	Zhou X, Qu H, Qi A, Ma X, Zhao S, Wang Y, Zheng W 2018 IEEE Photonic Tech. L. 30 1645 Google Scholar
[46]	张振清, 路海, 王少华, 魏泽勇, 江海涛, 李云辉 2015 64 114202 Google Scholar Zhang Z Q, Lu H, Wang S H, Wei Z Y, Jiang H T, Li Y H 2015 Acta Phys. Sin. 64 114202 Google Scholar
[47]	欧阳征标, 李景镇, 张道中, 王启明 2002 光学学报 22 79 Google Scholar Ouyang Z B, Li J Z, Zhang D Z, Wang Q M 2002 Acta Opt. Sin. 22 79 Google Scholar
[48]	Wu F, Wu J, Fan C, Guo Z, Xue C, Jiang H, Sun Y, Li Y, Chen H 2020 Europhys. Lett. 129 34004 Google Scholar
[49]	Xiao Z Y, Wang Z H 2006 Int. J. Infrared Millim. 27 443
[50]	Ritari T, Tuominen J, Ludvigsen H, Petersen J C, Sørensen T, Hansen T P, Simonsen H R 2004 Opt. Express 12 4080 Google Scholar
[51]	严德贤, 李九生, 王怡 2019 68 207801 Google Scholar Yan D X, Li J S, Wang Y 2019 Acta Phys. Sin. 68 207801 Google Scholar
[52]	Zabelin V, Dunbar L A, Thomas N L, Houdré R, Kotlyar M V, O’Faolain L, Krauss T F 2007 Opt. Lett. 32 530 Google Scholar
[53]	左依凡, 李培丽, 栾开智, 王磊 2018 67 034204 Google Scholar Zuo Y F, Li P L, Luan K Z, Wang L 2018 Acta Phys. Sin. 67 034204 Google Scholar
[54]	Mekis A, Chen J C, Kurland I, Fan S, Villeneuve P R, Joannopoulos J D 1996 Phys. Rev. Lett. 77 3787 Google Scholar
[55]	Chutinan A, Noda S 1999 Appl. Phys. Lett. 75 3739 Google Scholar
[56]	Birks T A, Knight J C, Russell P St J 1997 Opt. Lett. 22 961 Google Scholar
[57]	Russell P 2003 Science 299 358 Google Scholar
[58]	魏薇, 张志明, 唐莉勤, 丁镭, 范万德, 李乙钢 2019 68 114209 Google Scholar Wei W, Zhang Z M, Tang L Q, Ding L, Fan W D, Li Y G 2019 Acta Phys. Sin. 68 114209 Google Scholar
[59]	江海涛, 李云辉, 李宏强, 朱荣林, 张冶文, 陈鸿 2003 物理 32 799 Google Scholar Jiang H T, Li Y H, Li H Q, Zhu R L, Zhang Z W, Chen H 2003 Physics 32 799 Google Scholar
[60]	Wang Z, Chong Y D, Joannopoulos J D, Soljačić M 2008 Phys. Rev. Lett. 100 013905 Google Scholar
[61]	Chen W, Hang Z H, Dong J, Xiao X, Wang H, Chan C T 2011 Phys. Rev. Lett. 107 023901 Google Scholar
[62]	Yang B, Wu T, Zhang X 2017 Appl. Phys. Lett. 110 021109 Google Scholar
[63]	Yablonovitch E 1987 Phys. Rev. Lett. 58 2059 Google Scholar
[64]	Fink Y, Winn J N, Fan S, Chen C, Michel J, Joannopoulos J D, Thomas E L 1998 Science 27 1679
[65]	Winn J N, Fink Y, Fan S, Joannopoulos J D 1998 Opt. Lett. 23 1573 Google Scholar
[66]	Park Y, Roh Y, Cho C, Jeon H, Sung M G, Woo J C 2003 Appl. Phys. Lett. 82 2770 Google Scholar
[67]	Zhang Y, Wu Z, Cao Y, Zhang H 2015 Opt. Commun. 338 168 Google Scholar
[68]	Jena S, Tokas R B, Sarkar P, Misal J S, Haque S M, Rao K D, Thakur S, Sahoo N K 2016 Thin Solid Films 599 138 Google Scholar
[69]	Kaliteevski M, Iorsh I, Brand S, Abram R A, Chamberlain J M, Kavokin A V, Shelykh I A 2007 Phys. Rev. B 76 165415 Google Scholar
[70]	Sasin M E, Seisyan R P, Kalitteevski M A, Brand S, Abram R A, Chamberlain J M, Egorov A Y, Vasil’ev A P, Mikhrin V S, Kavokin A V 2008 Appl. Phys. Lett. 92 251112 Google Scholar
[71]	Du G, Jiang H, Wang Z, Yang Y, Wang Z, Lin H, Chen H 2010 J. Opt. Soc. Am. B 27 1757 Google Scholar
[72]	Wang X, Jiang X, You Q, Guo J, Dai X, Xiang Y 2017 Photonic Res. 5 536 Google Scholar
[73]	Gao H, Li P, Yang S 2020 Opt. Commun. 457 124688 Google Scholar
[74]	Huang S, Chen K, Jeng S 2017 Opt. Mater. Express 7 1267 Google Scholar
[75]	Tsurimaki Y, Tong J K, Boriskin V N, Semenov A, Ayzatsky M I, Machekhin Y P, Chen G, Boriskina S V 2018 ACS Photonics 5 929 Google Scholar
[76]	Boriskina S V, Tsurimaki Y 2018 J. Phys.: Condens. Matter 30 224003 Google Scholar
[77]	Prokes S M, Glembocki O J, Livenere J E, Tumkur T U, Kitur J K, Zhu G, Wells B, Podolskiy V A, Noginov M A 2013 Opt. Express 21 14962 Google Scholar
[78]	Riley C T, Smalley J S T, Post K W, Basov D N, Fainman Y, Wang D, Liu Z, Sirbuly D J 2016 Small 12 892 Google Scholar
[79]	Sukham J, Takayama O, Mahmoodi M, Sychev S, Bogdanov A, Tavassoli S H, Lavrinenko A V, Malureanu R 2019 Nanoscale 11 12582 Google Scholar
[80]	Dilts J, Hong C, Siahmakoun A, Syed M, Alisafaee H 2019 Opt. Lett. 44 4303 Google Scholar
[81]	Xu D, Huang Q, Wang Y, Li P, Wen M, Jonnard P, Giglia A, Kozhevnikov I V, Wang K, Zhang Z, Wang Z 2015 Opt. Express 23 33018 Google Scholar
[82]	Qi D, Wang X, Cheng Y, Gong R, Li B 2016 Opt. Mater. 62 52 Google Scholar
[83]	Hu W, Li H, Cheng B, Yang J, Li Z, Xu J, Zhang D 1995 Opt. Lett. 20 964 Google Scholar
[84]	Raman A P, Anoma M A, Zhu L, Rephaeli E, Fan S 2014 Nature 515 540 Google Scholar
[85]	Li Z, Gu B, Yang G 1998 Phys. Rev. Lett. 81 2574 Google Scholar
[86]	Li J, Zhou L, Chan C T, Sheng P 2003 Phys. Rev. Lett. 90 083901 Google Scholar
[87]	Jiang H, Chen H, Li H, Zhang Y, Zi J, Zhu S 2004 Phys. Rev. E 69 066607 Google Scholar
[88]	尹承平, 刘念华 2004 量子光学学报 10 169 Google Scholar Yin C P, Liu N H 2004 Acta Sin.Quant. Opt. 10 169 Google Scholar
[89]	Xiang Y, Dai X, Wen S, Tang Z, Fan D 2011 J. Opt. Soc. Am. B 28 1187 Google Scholar
[90]	Kocaman S, Aras M S, Hsieh P, McMillan J F, Biris C G, Panoiu N C, Yu M B, Kwong D L, Stein A, Wong C W 2011 Nat. Photonics 5 499 Google Scholar
[91]	Yao Z, Luo J, Lai Y 2016 Opt. Lett. 41 5106 Google Scholar
[92]	Yao Z, Luo J, Lai Y 2017 Opt. Express 25 30931 Google Scholar
[93]	Chen Y 2011 Phys. Lett. A 375 1156 Google Scholar
[94]	Jiang H, Chen H, Li H, Zhang Y, Zhu S 2003 Appl. Phys. Lett. 83 5386 Google Scholar
[95]	Wang L, Chen H, Zhu S 2004 Phys. Rev. B 70 245102 Google Scholar
[96]	Guo J, Sun Y, Zhang Y, Li H, Jiang H, Chen H 2008 Phys. Rev. E 78 026607 Google Scholar
[97]	Zhao L, Zhou Y, Wang A 2018 Opt. Lett. 43 5387 Google Scholar
[98]	Singh P, Thapa K B, Kumar N, Yadav A K, Kumar D 2019 Int. J. Mod. Phys. B 33 1950194 Google Scholar
[99]	Xue C, Wu F, Jiang H, Li Y, Zhang Y, Chen H 2016 Sci. Rep. 6 39418 Google Scholar
[100]	Hu C, Zhang H, Liu G 2019 Appl. Opt. 58 2890 Google Scholar
[101]	Yu Z, Wang Z, Fan S 2007 Appl. Phys. Lett. 90 121133 Google Scholar
[102]	Guo Z, Wu F, Xue C, Jiang H, Sun Y, Li Y, Chen H 2018 J. Appl. Phys. 124 103104 Google Scholar
[103]	Zhang J, Wang P, Ding Y, Wang Y 2019 Opt. Commun. 450 322 Google Scholar
[104]	Liu B, Lu G, Cui L, Li J, Sun F, Liu F, Li Y, Yang T, Du G 2017 Opt. Express 25 13271 Google Scholar
[105]	Yeh P 1988 Optical Waves in Layered Media (New Jersey: Wiley Press) pp102–110
[106]	Xue C, Ding Y, Jiang H, Li Y, Wang Z, Zhang Y, Chen H 2016 Phys. Rev. B 93 125310 Google Scholar
[107]	Wu F, Lu G, Xue C, Jiang H, Guo Z, Zheng M, Chen C, Du G, Chen H 2018 Appl. Phys. Lett. 112 041902 Google Scholar
[108]	Wu F, Lu G, Guo Z, Jiang H, Xue C, Zheng M, Chen C, Du G, Chen H 2018 Phys. Rev. Appl. 10 064022 Google Scholar
[109]	Lu G, Wu F, Zheng M, Chen C, Zhou X, Diao C, Liu F, Du G, Xue C, Jiang H, Chen H 2019 Opt. Express 27 5326 Google Scholar
[110]	Tumkur T U, Gu L, Kitur J K, Narimanov E E, Noginov M A 2012 Appl. Phys. Lett. 100 161103 Google Scholar
[111]	Cui Y, Fung K H, Xu J, Ma H, Jin Y, He S, Fang N X 2012 Nano. Lett. 12 1443 Google Scholar
[112]	Zhao J, Chen Y, Feng Y 2008 Appl. Phys. Lett. 92 071114 Google Scholar
[113]	Hong J, Kim K H, Shin J H, Huh C, Sung G Y 2007 Opt. Express 15 8972 Google Scholar
[114]	Wu J, Wu F, Xue C, Guo Z, Jiang H, Sun Y, Li Y, Chen H 2019 Opt. Express 27 24835 Google Scholar
[115]	Smalley J S T, Vallini F, Zhang X, Fainman Y 2018 Adv. Opt. Photonics 10 354 Google Scholar

施引文献

图 1 含双曲超构材料的复合周期结构的示意图

Fig. 1. Schematic of the compound periodic structure containing hyperbolic metamaterials.

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图 2 传统的全介质一维光子晶体(AB)^N的示意图

Fig. 2. Schematic of the conventional all-dielectric one-dimensional photonic crystal (AB)^N.

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图 3 普通介质A和B的等频线(TM和TE偏振)

Fig. 3. Iso-frequency curves of isotropic dielectrics A and B (TM and TE polarizations).

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图 4 数值计算的一维光子晶体(AB)¹⁰的反射谱(TM和TE偏振)随入射角的变化

Fig. 4. Calculated reflectance spectrum of (AB)¹⁰ as a function of incident angle (TM and TE polarizations).

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图 5 含双曲超构材料的一维光子晶体[(CD)^SB]^N的示意图

Fig. 5. Schematic of the one-dimensional photonic crystal containing hyperbolic metamaterials [(CD)^SB]^N.

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图 6 (a)双曲材料A和(b)普通介质B的等频线(TM偏振)

Fig. 6. Iso-frequency curves of (a) hyperbolic metamaterial A and (b) isotropic dielectric B (TM polarization).

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图 7 含双曲超构材料的一维光子晶体[(CD)²B]³在不同入射角下的反射谱(TM偏振) 　(a) 数值计算结果^[107]; (b) 实验测量结果^[107]

Fig. 7. Reflectance spectra of [(CD)²B]³ under different incident angles (TM polarization): (a) Simulated result^[107]; (b) experimental result^[107].

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图 8 含双曲超构材料的一维光子晶体[(CD)²B]³的反射谱(TM偏振)随入射角的变化^[107], 其中彩色背景代表数值计算结果, 黑色空心圆圈代表实验测量的带隙边缘(由最靠近带隙的反射极小值提取)

Fig. 8. Reflectance spectrum of [(CD)²B]³ as a function of incident angle (TM polarization)^[107]. Background color represents the calculated result. Black hollow circle represents measured gap edge extracted from the reflectance dip.

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图 9 数值计算的含双曲超构材料的一维光子晶体[(CD)²B]³的反射谱(TM和TE偏振)随入射角的变化^[108]

Fig. 9. Calculated reflectance spectrum of [(CD)²B]³ as a function of incident angle (TM and TE polarizations)^[108].

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图 10 实验测量的含双曲超构材料的一维光子晶体[(CD)²B]³在不同入射角下的反射谱　(a) TM偏振^[108]; (b) TE偏振^[108]

Fig. 10. Experimental reflectance spectra of [(CD)²B]³ under different incident angles: (a) TM polarization^[108]; (b) TE polarization^[108].

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图 11 (a) 异质结M[(CD)²B]³的结构示意图^[109]; (b) 实验测量的异质结M[(CD)²B]³在不同入射角下的吸收谱(TM偏振)^[109]

Fig. 11. (a) Schematic of the heterostructure M[(CD)²B]³^[109]; (b) experimental absorptance spectra of M[(CD)²B]³ under different incident angles (TM polarization)^[109].

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图 12 实验测量的异质结M[(CD)²B]³在波长380 nm处的吸收率随入射角的变化(TM偏振)^[109]

Fig. 12. Experimental absorptance of M[(CD)²B]³ as a function of incident angle at $\lambda = 380$ nm (TM polarization)^[109].

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图 13 (a) 实验测量的含双曲超构材料的一维光子晶体[(CD)²B]³在波长365 nm处的TM和TE偏振的反射率随入射角的变化^[108]; (b) 相应的偏振选择比随入射角的变化^[108]

Fig. 13. (a) Experimental reflectance of M[(CD)²B]³ as a function of incident angle for TM and TE polarizations at $\lambda = 365$ nm^[108]; (b) corresponding polarization selection ratio as a function of incident angle^[108].

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图 14 数值计算的异质结M[(CD)²B]⁹的反射谱(TM和TE偏振)随入射角的变化^[114]

Fig. 14. Calculated reflectance spectrum of M[(CD)²B]⁹ as a function of incident angle (TM and TE polarizations)^[114].

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图 15 (a) 折射率传感器的示意图^[114]; (b) 数值计算的传感器的最佳折射率分辨率随入射角的变化^[114]

Fig. 15. (a) Schematic of the refractive index sensor^[114]; (b) calculated minimal refractive index resolution as a function of incident angle^[114].

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map

[1]	Smith D R, Schurig D 2003 Phys. Rev. Lett. 90 077405 Google Scholar
[2]	Drachev V P, Podolskiy V A, Kildishev A V 2013 Opt. Express 21 15048 Google Scholar
[3]	Poddubny A, Iorsh I, Belov P, Kivshar Y 2013 Nat. Photonics 7 948 Google Scholar
[4]	Shekhar P, Atkinson J, Jacob Z 2014 Nano Converg. 1 14 Google Scholar
[5]	Ferrari L, Wu C, Lepage D, Zhang X, Liu Z 2015 Prog. Quant. Electron. 40 1 Google Scholar
[6]	Guo Z W, Jiang H T, Chen H 2020 J. Appl. Phys. 127 071101
[7]	Yao J, Liu Z, Liu Y, Wang Y, Sun C, Bartal G, Stacy A M, Zhang X 2008 Science 321 930 Google Scholar
[8]	High A A, Devlin R C, Dibos A, Polking M, Wild D S, Perczel J, de Leon N P, Lukin M D, Park H 2015 Nature 522 192 Google Scholar
[9]	龚健, 张利伟, 陈亮, 乔文涛, 汪舰 2015 64 067301 Google Scholar Gong J, Zhang L W, Chen L, Qiao W T, Wang J 2015 Acta Phys. Sin. 64 067301 Google Scholar
[10]	Jacob Z, Kim J Y, Naik G V, Boltasseva A, Narimanov E E, Shalaev V M 2010 Appl. Phys. B 100 215 Google Scholar
[11]	Krishnamoorthy H N S, Jacob Z, Narimanov E, Kretzschmar I, Menon V M 2012 Science 336 205 Google Scholar
[12]	Narimanov E E 2014 Phys. Rev. X 4 041014
[13]	Peragut F, Cerutti L, Baranov A, Hugonin J P, Taliercio T, Wilde D, Greffet J J 2017 Optica 4 1409 Google Scholar
[14]	Guo Z, Jiang H, Li Y, Chen H, Agarwal G S 2018 Opt. Express 26 627 Google Scholar
[15]	Yu K, Guo Z, Jiang H, Chen H 2016 J. Appl. Phys. 119 203102 Google Scholar
[16]	Guo Z, Jiang H, Zhu K, Sun Y, Li Y, Chen H 2018 Phys. Rev. Appl. 10 064048 Google Scholar
[17]	Ren M, Liu Y, Yu S, Dong L, Liu L, Deng F, Shi Y 2019 Eur. Phys. J. Plus 134 301 Google Scholar
[18]	Yin X, Zhu H, Guo H, Deng M, Xu T, Gong Z, Li X, Hang Z H, Wu C, Li H, Chen S, Zhou L, Chen L 2019 Laser Photonics Rev. 13 1800081 Google Scholar
[19]	Li H, Hao W, Yin X, Chen S, Chen L 2019 Adv. Opt. Mater. 7 1900493 Google Scholar
[20]	Casse B D F, Lu W T, Huang Y J, Gultepe E, Menon L, Sridhar S 2010 Appl. Phys. Lett. 96 023114 Google Scholar
[21]	Huo P, Liang Y, Zhang S, Lu Y, Xu T 2018 Laser Photonics Rev. 12 1700309 Google Scholar
[22]	Kim M, Lee D, Kim T H, Yang Y, Park H J, Rho J 2019 ACS Photonics 6 2530 Google Scholar
[23]	Yao J, Yang X, Yin X, Bartal G, Zhang X 2011 P. Natl. Acad. Sci. USA 108 11327 Google Scholar
[24]	Sreekanth K V, Ouyang Q, Sreejith S, Zeng S, Lishu W, Ilker E, Dong W, El-Kabbash M, Ting Y, Lim C T, Hinczewski M, Strangi G, Yong K, Simpson R E, Singh R 2019 Adv. Opt. Mater. 7 1900081 Google Scholar
[25]	Qi H, Sang T, Wang L, Yin X, Wang J, Wang Y 2019 Appl. Sci. 9 2011 Google Scholar
[26]	Guo Y, Cortes C L, Molesky S, Jacob Z 2012 Appl. Phys. Lett. 101 131106 Google Scholar
[27]	Xu T, Lezec H J 2011 Nat. Commun. 5 4141 Google Scholar
[28]	Yang X, Yao J, Rho J, Yin X, Zhang X 2012 Nat. Photonics 6 450 Google Scholar
[29]	Sreekanth K V, Alapan Y, ElKabbash M, Ilker E, Hinczewski M, Gurkan U A, de Luca A, Strangi G 2016 Nat. Mater. 15 621 Google Scholar
[30]	Baqir M A, Farmani A, Fatima T, Raza M R, Shaukat S F, Mir A 2018 Appl. Opt. 57 9447 Google Scholar
[31]	Zhou J, Kaplan A F, Chen L, Guo L J 2014 ACS Photonics 1 618 Google Scholar
[32]	Inoue K, Ohtaka K 2004 Photonic Crystals: Physics, Fabrication and Applications (Berlin: Springer Press)
[33]	Sakoda K 2005 Optical Properties of Photonic Crystals (Berlin: Springer Press)
[34]	Joannopoulos J D, Johnson S G, Winn J N, Meade R D 2008 Photonic Crystals: Molding the Flow of Light (New Jersey: Princeton University Press)
[35]	Gong Q, Hu X 2013 Photonic Crystals: Principles and Applications (Boca Raton: CRC Press)
[36]	Zhu X 2015 Opt. Express 23 22274 Google Scholar
[37]	Ding K, Zhang Z Q, Chan C T 2015 Phys. Rev. B 92 235310 Google Scholar
[38]	Zhu X, Peng Y, Zhao D 2014 Opt. Express 22 18401 Google Scholar
[39]	Zhu X, Feng L, Zhang P, Yin X, Zhang X 2013 Opt. Lett. 38 2821 Google Scholar
[40]	Vlasov Y A, Bo X, Sturm J C, Norris D J 2001 Nature 414 289
[41]	Akahane Y, Asano T, Song B S, Noda S 2003 Nature 425 944 Google Scholar
[42]	万钧, 张淳, 王灵俊, 资剑 1999 物理 28 393 Google Scholar Wan J, Zhang C, Wang L J, Zi J 1999 Physics 28 393 Google Scholar
[43]	倪培根 2010 59 340 Google Scholar Ni P G 2010 Acta Phys. Sin. 59 340 Google Scholar
[44]	Lončar M, Yoshie T, Scherer A, Gogna P, Qiu Y 2002 Appl. Phys. Lett. 81 2680 Google Scholar
[45]	Zhou X, Qu H, Qi A, Ma X, Zhao S, Wang Y, Zheng W 2018 IEEE Photonic Tech. L. 30 1645 Google Scholar
[46]	张振清, 路海, 王少华, 魏泽勇, 江海涛, 李云辉 2015 64 114202 Google Scholar Zhang Z Q, Lu H, Wang S H, Wei Z Y, Jiang H T, Li Y H 2015 Acta Phys. Sin. 64 114202 Google Scholar
[47]	欧阳征标, 李景镇, 张道中, 王启明 2002 光学学报 22 79 Google Scholar Ouyang Z B, Li J Z, Zhang D Z, Wang Q M 2002 Acta Opt. Sin. 22 79 Google Scholar
[48]	Wu F, Wu J, Fan C, Guo Z, Xue C, Jiang H, Sun Y, Li Y, Chen H 2020 Europhys. Lett. 129 34004 Google Scholar
[49]	Xiao Z Y, Wang Z H 2006 Int. J. Infrared Millim. 27 443
[50]	Ritari T, Tuominen J, Ludvigsen H, Petersen J C, Sørensen T, Hansen T P, Simonsen H R 2004 Opt. Express 12 4080 Google Scholar
[51]	严德贤, 李九生, 王怡 2019 68 207801 Google Scholar Yan D X, Li J S, Wang Y 2019 Acta Phys. Sin. 68 207801 Google Scholar
[52]	Zabelin V, Dunbar L A, Thomas N L, Houdré R, Kotlyar M V, O’Faolain L, Krauss T F 2007 Opt. Lett. 32 530 Google Scholar
[53]	左依凡, 李培丽, 栾开智, 王磊 2018 67 034204 Google Scholar Zuo Y F, Li P L, Luan K Z, Wang L 2018 Acta Phys. Sin. 67 034204 Google Scholar
[54]	Mekis A, Chen J C, Kurland I, Fan S, Villeneuve P R, Joannopoulos J D 1996 Phys. Rev. Lett. 77 3787 Google Scholar
[55]	Chutinan A, Noda S 1999 Appl. Phys. Lett. 75 3739 Google Scholar
[56]	Birks T A, Knight J C, Russell P St J 1997 Opt. Lett. 22 961 Google Scholar
[57]	Russell P 2003 Science 299 358 Google Scholar
[58]	魏薇, 张志明, 唐莉勤, 丁镭, 范万德, 李乙钢 2019 68 114209 Google Scholar Wei W, Zhang Z M, Tang L Q, Ding L, Fan W D, Li Y G 2019 Acta Phys. Sin. 68 114209 Google Scholar
[59]	江海涛, 李云辉, 李宏强, 朱荣林, 张冶文, 陈鸿 2003 物理 32 799 Google Scholar Jiang H T, Li Y H, Li H Q, Zhu R L, Zhang Z W, Chen H 2003 Physics 32 799 Google Scholar
[60]	Wang Z, Chong Y D, Joannopoulos J D, Soljačić M 2008 Phys. Rev. Lett. 100 013905 Google Scholar
[61]	Chen W, Hang Z H, Dong J, Xiao X, Wang H, Chan C T 2011 Phys. Rev. Lett. 107 023901 Google Scholar
[62]	Yang B, Wu T, Zhang X 2017 Appl. Phys. Lett. 110 021109 Google Scholar
[63]	Yablonovitch E 1987 Phys. Rev. Lett. 58 2059 Google Scholar
[64]	Fink Y, Winn J N, Fan S, Chen C, Michel J, Joannopoulos J D, Thomas E L 1998 Science 27 1679
[65]	Winn J N, Fink Y, Fan S, Joannopoulos J D 1998 Opt. Lett. 23 1573 Google Scholar
[66]	Park Y, Roh Y, Cho C, Jeon H, Sung M G, Woo J C 2003 Appl. Phys. Lett. 82 2770 Google Scholar
[67]	Zhang Y, Wu Z, Cao Y, Zhang H 2015 Opt. Commun. 338 168 Google Scholar
[68]	Jena S, Tokas R B, Sarkar P, Misal J S, Haque S M, Rao K D, Thakur S, Sahoo N K 2016 Thin Solid Films 599 138 Google Scholar
[69]	Kaliteevski M, Iorsh I, Brand S, Abram R A, Chamberlain J M, Kavokin A V, Shelykh I A 2007 Phys. Rev. B 76 165415 Google Scholar
[70]	Sasin M E, Seisyan R P, Kalitteevski M A, Brand S, Abram R A, Chamberlain J M, Egorov A Y, Vasil’ev A P, Mikhrin V S, Kavokin A V 2008 Appl. Phys. Lett. 92 251112 Google Scholar
[71]	Du G, Jiang H, Wang Z, Yang Y, Wang Z, Lin H, Chen H 2010 J. Opt. Soc. Am. B 27 1757 Google Scholar
[72]	Wang X, Jiang X, You Q, Guo J, Dai X, Xiang Y 2017 Photonic Res. 5 536 Google Scholar
[73]	Gao H, Li P, Yang S 2020 Opt. Commun. 457 124688 Google Scholar
[74]	Huang S, Chen K, Jeng S 2017 Opt. Mater. Express 7 1267 Google Scholar
[75]	Tsurimaki Y, Tong J K, Boriskin V N, Semenov A, Ayzatsky M I, Machekhin Y P, Chen G, Boriskina S V 2018 ACS Photonics 5 929 Google Scholar
[76]	Boriskina S V, Tsurimaki Y 2018 J. Phys.: Condens. Matter 30 224003 Google Scholar
[77]	Prokes S M, Glembocki O J, Livenere J E, Tumkur T U, Kitur J K, Zhu G, Wells B, Podolskiy V A, Noginov M A 2013 Opt. Express 21 14962 Google Scholar
[78]	Riley C T, Smalley J S T, Post K W, Basov D N, Fainman Y, Wang D, Liu Z, Sirbuly D J 2016 Small 12 892 Google Scholar
[79]	Sukham J, Takayama O, Mahmoodi M, Sychev S, Bogdanov A, Tavassoli S H, Lavrinenko A V, Malureanu R 2019 Nanoscale 11 12582 Google Scholar
[80]	Dilts J, Hong C, Siahmakoun A, Syed M, Alisafaee H 2019 Opt. Lett. 44 4303 Google Scholar
[81]	Xu D, Huang Q, Wang Y, Li P, Wen M, Jonnard P, Giglia A, Kozhevnikov I V, Wang K, Zhang Z, Wang Z 2015 Opt. Express 23 33018 Google Scholar
[82]	Qi D, Wang X, Cheng Y, Gong R, Li B 2016 Opt. Mater. 62 52 Google Scholar
[83]	Hu W, Li H, Cheng B, Yang J, Li Z, Xu J, Zhang D 1995 Opt. Lett. 20 964 Google Scholar
[84]	Raman A P, Anoma M A, Zhu L, Rephaeli E, Fan S 2014 Nature 515 540 Google Scholar
[85]	Li Z, Gu B, Yang G 1998 Phys. Rev. Lett. 81 2574 Google Scholar
[86]	Li J, Zhou L, Chan C T, Sheng P 2003 Phys. Rev. Lett. 90 083901 Google Scholar
[87]	Jiang H, Chen H, Li H, Zhang Y, Zi J, Zhu S 2004 Phys. Rev. E 69 066607 Google Scholar
[88]	尹承平, 刘念华 2004 量子光学学报 10 169 Google Scholar Yin C P, Liu N H 2004 Acta Sin.Quant. Opt. 10 169 Google Scholar
[89]	Xiang Y, Dai X, Wen S, Tang Z, Fan D 2011 J. Opt. Soc. Am. B 28 1187 Google Scholar
[90]	Kocaman S, Aras M S, Hsieh P, McMillan J F, Biris C G, Panoiu N C, Yu M B, Kwong D L, Stein A, Wong C W 2011 Nat. Photonics 5 499 Google Scholar
[91]	Yao Z, Luo J, Lai Y 2016 Opt. Lett. 41 5106 Google Scholar
[92]	Yao Z, Luo J, Lai Y 2017 Opt. Express 25 30931 Google Scholar
[93]	Chen Y 2011 Phys. Lett. A 375 1156 Google Scholar
[94]	Jiang H, Chen H, Li H, Zhang Y, Zhu S 2003 Appl. Phys. Lett. 83 5386 Google Scholar
[95]	Wang L, Chen H, Zhu S 2004 Phys. Rev. B 70 245102 Google Scholar
[96]	Guo J, Sun Y, Zhang Y, Li H, Jiang H, Chen H 2008 Phys. Rev. E 78 026607 Google Scholar
[97]	Zhao L, Zhou Y, Wang A 2018 Opt. Lett. 43 5387 Google Scholar
[98]	Singh P, Thapa K B, Kumar N, Yadav A K, Kumar D 2019 Int. J. Mod. Phys. B 33 1950194 Google Scholar
[99]	Xue C, Wu F, Jiang H, Li Y, Zhang Y, Chen H 2016 Sci. Rep. 6 39418 Google Scholar
[100]	Hu C, Zhang H, Liu G 2019 Appl. Opt. 58 2890 Google Scholar
[101]	Yu Z, Wang Z, Fan S 2007 Appl. Phys. Lett. 90 121133 Google Scholar
[102]	Guo Z, Wu F, Xue C, Jiang H, Sun Y, Li Y, Chen H 2018 J. Appl. Phys. 124 103104 Google Scholar
[103]	Zhang J, Wang P, Ding Y, Wang Y 2019 Opt. Commun. 450 322 Google Scholar
[104]	Liu B, Lu G, Cui L, Li J, Sun F, Liu F, Li Y, Yang T, Du G 2017 Opt. Express 25 13271 Google Scholar
[105]	Yeh P 1988 Optical Waves in Layered Media (New Jersey: Wiley Press) pp102–110
[106]	Xue C, Ding Y, Jiang H, Li Y, Wang Z, Zhang Y, Chen H 2016 Phys. Rev. B 93 125310 Google Scholar
[107]	Wu F, Lu G, Xue C, Jiang H, Guo Z, Zheng M, Chen C, Du G, Chen H 2018 Appl. Phys. Lett. 112 041902 Google Scholar
[108]	Wu F, Lu G, Guo Z, Jiang H, Xue C, Zheng M, Chen C, Du G, Chen H 2018 Phys. Rev. Appl. 10 064022 Google Scholar
[109]	Lu G, Wu F, Zheng M, Chen C, Zhou X, Diao C, Liu F, Du G, Xue C, Jiang H, Chen H 2019 Opt. Express 27 5326 Google Scholar
[110]	Tumkur T U, Gu L, Kitur J K, Narimanov E E, Noginov M A 2012 Appl. Phys. Lett. 100 161103 Google Scholar
[111]	Cui Y, Fung K H, Xu J, Ma H, Jin Y, He S, Fang N X 2012 Nano. Lett. 12 1443 Google Scholar
[112]	Zhao J, Chen Y, Feng Y 2008 Appl. Phys. Lett. 92 071114 Google Scholar
[113]	Hong J, Kim K H, Shin J H, Huh C, Sung G Y 2007 Opt. Express 15 8972 Google Scholar
[114]	Wu J, Wu F, Xue C, Guo Z, Jiang H, Sun Y, Li Y, Chen H 2019 Opt. Express 27 24835 Google Scholar
[115]	Smalley J S T, Vallini F, Zhang X, Fainman Y 2018 Adv. Opt. Photonics 10 354 Google Scholar

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