双层金属纳米光栅的TE偏振光异常透射特性

褚金奎; 王倩怡; 王志文; 王立鼎

doi:10.7498/aps.64.164206

摘要

根据在亚波长金属光栅表面添加电介质会引起TE偏振光的透射异常性, 应用严格耦合波理论和时域有限差分方法, 研究了双层金属纳米光栅在TE偏振光入射时产生的异常透射现象. 利用等效折射率方法建立了双层金属光栅的等效模型, 得到了TE偏振光透射率与聚合物的折射率、厚度以及金属层厚度的变化关系. 确认了结构中聚合物是透射异常出现的必要条件, TE偏振光以波导电磁模式在其中传播, 并认为类Fabry-Perot腔谐振是透射峰值产生的主要原因.

关键词:

Abstract

Based on the phenomenon of the s-polarization extraordinary optical transmission through subwavelength metallic grating on a dielectric film, the same phenomenon in bilayer metallic nano-grating has been found. In order to analyze the s-polarization transmission in this specific structure, the rigorous coupled-wave analysis and finite-different time-domain method is applied: the former is used for analyzing the transmission of the structure exactly and the latter is used for acquiring the optical field distribution of the structure. Using the equivalent refractive method, the equivalent mechanical model of the bilayer metallic grating is founded, which is as much of extraordinary optical transmission as the original model, to discover the relationship between the polymer and the s-polarization transmission. The comparison of distribution of field-intensity for two bilayer structures, with or without the polymer, illustrates that the existence of the polymer is the main reason to the s-polarization transmission peak appearance. Because the existence of the polymer can be treated as a waveguide and the s-polarization is coupled by metal grating and then turns to a surface wave, there is a resonant phenomenon occurred in the polymer area under the incident light with particular wavelength. In addition, the effect of geometrical parameters of the polymer, such as the refractive index and the thickness of the polymer, the effect of the thickness of the metal film on s-polarization transmittance are discussed. Increasing the refractive index of the polymer leads to the red shift of transmission peak both in the original bilayer model and the equivalent model, which indicates that the two models have the same property. The transmission peak can be explained by the Fabry-Perot-like resonance, and the red shift of transmission peak is result from the change of the resonance condition due to the refractive index increase. The polymer thickness increase results in the addition of the resonance modes and the corresponding transmission peaks. The cycle of the peak is calculated and the result is similar to the length of the Fabry-Perot-like cavity. However, the thickness of metal layer does not impact the position of the s-polarization transmission peak. In conclusion, the polymer which sustains a waveguide elecromagnetic mode is necessary for the extraordinary optical transmission, and the existence of Fabry-Perot-like resonance in the polymer film is the main reason of the resonant peak appearing.

Keywords:

bilayer metallic nano-grating /
s-polarization extraordinary transmission /
Fabry-Perot-like resonance

作者及机构信息

1.
大连理工大学机械工程学院, 大连 116024

基金项目: 国家重点基础研究发展计划(批准号: 2011CB302101, 2011CB302105)资助的课题.

Authors and contacts

1.
School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China

Funds: Project supported by the National Basic Research Program of China (Grant Nos. 2011CB302101, 2011CB302105).

参考文献

[1]	Ebbesen T W, Lezec H J, Ghaemi H F, Thio T, Wolff P A 1998 Nature 391 667
[2]	Porto J A, Garcia-Vidal F J, Pendry J B 1999 Phys. Rev. Lett. 83 2845
[3]	Treacy M M J 2002 Phys. Rev B: Condens. Matter 66 195105
[4]	Lee K G, Park Q H 2005 Phys. Rev. Lett. 95 103902
[5]	Liu H, Lalanne P 2008 Nature 452 728
[6]	Xie Y, Zakharian A, Moloney J, Mansuripur M 2005 Opt. Express 13 4485
[7]	Takakura Y 2001 Phys. Rev. Lett. 86 5601
[8]	Tan C L, Yi Y X, Wang G P 2002 Acta Phys. Sin. 51 1063 (in Chinese) [谈春雷, 易永祥, 汪国平 2002 51 1063]
[9]	García-Vidal F J, Martin-Moreno L, Ebbesen T W, Kuipers L 2010 Rev. Mod. Phys. 82 729
[10]	Lochbihler H, Depine R A 2012 Appl. Opt. 51 1729
[11]	Wei F F, Wang H Y, Zhou Y S 2013 Chin. Phys. B 22 024201
[12]	Moreno E, Martín-Moreno L, García-Vidal F J 2006 J Opt A: Pure Appl. Opt. 8 S94
[13]	Yuan G H, Wang P, Zhang D G, Jiao X J, Min C J, Ming H 2007 Chin. Phys. Lett. 24 1600
[14]	Guillaumée M, Nikitin A Y, Klein M J K, et al. 2010 Opt. Express 18 9722
[15]	Wang Y W, Liu M L, Liu R J, Lei H N, Deng X B 2010 Acta Phys. Sin. 59 4030 (in Chinese) [王亚伟, 刘明礼, 刘仁杰, 雷海娜, 邓晓斌 2010 59 4030]
[16]	Wang Y W, Liu M L, Liu R J, Lei H N, Tian X L 2011 Acta Phys. Sin. 60 024217 (in Chinese) [王亚伟, 刘明礼, 刘仁杰, 雷海娜, 田相龙 2011 60 024217]
[17]	Sun Z J, Zuo X L, Guan T P, Chen W 2014 Opt. Express 22 4714
[18]	Gao H, Zheng Z Y, Dong A G, Fan Z J 2014 Optik 125 6687
[19]	Ekinci Y, Solak H H, David C, Sigg H 2006 Opt. Express 14 2323
[20]	Meng F T, Luo G, Maximov I, Montelius L, Chu J K, Xu H 2011 Microelectron. Eng. 88 3108
[21]	Chu J K, Wang Z W, Guan L, Liu Z, Wang Y L, Zhang R 2014 IEEE Photon. Technol. Lett. 26 469
[22]	Moharam M G, Gaylord T K 1981 JOSA 71 811
[23]	Yee K S 1966 IEEE Trans. Antennas Propag. 14 302
[24]	Li H R 1990 Introduction to Diectric Physics (Chengdu: Press of Chengdu University of Science and Technology) pp323-331 (in Chinese) [李翰如 1990 电介质物理学导论 (成都: 成都科技大学出版社) 第323–331页]
[25]	Jing X F, Jin Y X 2011 Appl. Opt. 50 C11

施引文献

[1]	Ebbesen T W, Lezec H J, Ghaemi H F, Thio T, Wolff P A 1998 Nature 391 667
[2]	Porto J A, Garcia-Vidal F J, Pendry J B 1999 Phys. Rev. Lett. 83 2845
[3]	Treacy M M J 2002 Phys. Rev B: Condens. Matter 66 195105
[4]	Lee K G, Park Q H 2005 Phys. Rev. Lett. 95 103902
[5]	Liu H, Lalanne P 2008 Nature 452 728
[6]	Xie Y, Zakharian A, Moloney J, Mansuripur M 2005 Opt. Express 13 4485
[7]	Takakura Y 2001 Phys. Rev. Lett. 86 5601
[8]	Tan C L, Yi Y X, Wang G P 2002 Acta Phys. Sin. 51 1063 (in Chinese) [谈春雷, 易永祥, 汪国平 2002 51 1063]
[9]	García-Vidal F J, Martin-Moreno L, Ebbesen T W, Kuipers L 2010 Rev. Mod. Phys. 82 729
[10]	Lochbihler H, Depine R A 2012 Appl. Opt. 51 1729
[11]	Wei F F, Wang H Y, Zhou Y S 2013 Chin. Phys. B 22 024201
[12]	Moreno E, Martín-Moreno L, García-Vidal F J 2006 J Opt A: Pure Appl. Opt. 8 S94
[13]	Yuan G H, Wang P, Zhang D G, Jiao X J, Min C J, Ming H 2007 Chin. Phys. Lett. 24 1600
[14]	Guillaumée M, Nikitin A Y, Klein M J K, et al. 2010 Opt. Express 18 9722
[15]	Wang Y W, Liu M L, Liu R J, Lei H N, Deng X B 2010 Acta Phys. Sin. 59 4030 (in Chinese) [王亚伟, 刘明礼, 刘仁杰, 雷海娜, 邓晓斌 2010 59 4030]
[16]	Wang Y W, Liu M L, Liu R J, Lei H N, Tian X L 2011 Acta Phys. Sin. 60 024217 (in Chinese) [王亚伟, 刘明礼, 刘仁杰, 雷海娜, 田相龙 2011 60 024217]
[17]	Sun Z J, Zuo X L, Guan T P, Chen W 2014 Opt. Express 22 4714
[18]	Gao H, Zheng Z Y, Dong A G, Fan Z J 2014 Optik 125 6687
[19]	Ekinci Y, Solak H H, David C, Sigg H 2006 Opt. Express 14 2323
[20]	Meng F T, Luo G, Maximov I, Montelius L, Chu J K, Xu H 2011 Microelectron. Eng. 88 3108
[21]	Chu J K, Wang Z W, Guan L, Liu Z, Wang Y L, Zhang R 2014 IEEE Photon. Technol. Lett. 26 469
[22]	Moharam M G, Gaylord T K 1981 JOSA 71 811
[23]	Yee K S 1966 IEEE Trans. Antennas Propag. 14 302
[24]	Li H R 1990 Introduction to Diectric Physics (Chengdu: Press of Chengdu University of Science and Technology) pp323-331 (in Chinese) [李翰如 1990 电介质物理学导论 (成都: 成都科技大学出版社) 第323–331页]
[25]	Jing X F, Jin Y X 2011 Appl. Opt. 50 C11

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