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Research progress of coupling theory of metal surface plasmon

Zhu Xu-Peng Zhang Shi Shi Hui-Min Chen Zhi-Quan Quan Jun Xue Shu-Wen Zhang Jun Duan Hui-Gao

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Research progress of coupling theory of metal surface plasmon

Zhu Xu-Peng, Zhang Shi, Shi Hui-Min, Chen Zhi-Quan, Quan Jun, Xue Shu-Wen, Zhang Jun, Duan Hui-Gao
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  • Metal surface plasmon is a collective oscillation effect of free electrons at the micro-nanostructure surface under the stimulation of incident light. Since the corresponding oscillating electric field is strongly bound below the sub-wavelength scale, it can be used as an information carrier for future micro-nano photonic circuit and device, and can also be used to enhance the interaction between light and matter on a micro-nano scale, such as surface enhanced photoluminescence, Raman scattering, nonlinear signal generation, surface enhanced catalysis, photothermal conversion, photovoltaic conversion, etc. How to theoretically understand the unique optical behavior dominated by the plasmon oscillation mode is one of the hot research spots in the field of surface plasmon photonics. In recent years, the theory of surface plasmon has been continuously improved with the support of a large number of experimental researches. In this paper, we first systematically summarize the optical behaviors and properties of metal under the excitation of incident electromagnetic waves, and then briefly describe the plasmonic modes existing in the metal and their corresponding physical natures, the oscillation dynamics process and the currently prevailing surface plasmon coupling theories. We hope that this paper can provide a theoretical basis for those researchers who have just dabbled in the field of surface plasmons and help them to master the relevant basic knowledge quickly.
      Corresponding author: Zhu Xu-Peng, zhuxp18@lingnan.edu.cn ; Zhang Jun, zhangjun@lingnan.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11574078, 61674073), the Natural Science Foundation of Hunan Province, China (Grant Nos. 2015JJ1008, 2015RS4024), the Science and Technology Planning Project of Guangdong Province, China (Grant No. 2017A050506056), the Key Basic and Applied Research Project of Guangdong Province, China (Grant No. 2016KZDXM021), the College Physics Teaching Team (Grant No. 114961700249), and the Scientific Research Project of Lingnan Normal University, China (Grant No. ZL1937)
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  • 图 1  (a)传播表面等离激元示意图; (b)局域表面等离激元示意图[35]

    Figure 1.  (a) Propagating plasmon (surface plasmon polaritons); (b) localized surface plasmon[35].

    图 2  支持SPP传输的金属-介质界面示意图

    Figure 2.  Metal-medium interface that supports SPP transmission.

    图 3  (a)金属全频色散关系; (b)金属和电介质的介电常数与入射频率之间的关系(借鉴中国科学院大学董国艳老师《纳米光学》第十讲图)

    Figure 3.  (a) Full frequency dispersion relation of metal materials; (b) relationship between incident frequency and dielectric constant of metal and dielectric, respectively (from the tenth lecture of 《Nano Optics》, Dong Guoyan, Chinese Academy of Sciences)

    图 4  静电场中的金属微纳米球

    Figure 4.  Metal micro-nanospheres in an electrostatic field.

    图 5  (a)衰减通道示意图; (b)衰减动力学过程

    Figure 5.  (a) Attenuation channels; (b) attenuation dynamics.

    图 6  (a)谐振子间耦合示意图[73]; (b)谐振子与其镜像耦合示意图[73]; (c)耦合的简谐振子[74]; (d)三次谐波产生对应的等离激元非线性谐振模型[75]

    Figure 6.  (a) Inter-coupling of harmonic oscillators[73]; (b) harmonic oscillator coupled with its mirror image[73]; (c) two coupled harmonic oscillators[74]; (d) a nonlinear harmonic oscillators model of the plasmon third harmonic generation[75].

    图 7  (a)表面等离激元共振模式杂化过程图; (b)堆叠式金属带的透射光谱及表面等离激元杂化示意图[77]; (c)单一劈裂盘阵列的透射光谱及其对应的共振模式杂化图[10]; (d)双层月牙形结构的模式杂化[78]; (e)杂化模式成像[79]

    Figure 7.  (a) Hybridization process between two surface plasmon resonance modes; (b) the transmission spectrum of stacked cut-wire metamaterials and its corresponding plasmon hybridization process; (c) the transmission spectra and plasmon hybridization process of single split-disk; (d) the plasmon hybridization of stacked double crescents arrays; (e) the super-resolution imaging of hybrid plasmon mode.

    图 8  (a) Simpson-Peterson模型物理量分布图; (b)不同角度的耦合及对应的消光光谱[72]; (c)不同排布金纳米棒的耦合及潜在应用[89]; (d)不同偶极中心偏移量下耦合能量随角度的变化曲线[90]

    Figure 8.  (a) Relationship of physical quantity in Simpson-Peterson model; (b) the coupling at different angles and their corresponding extinction spectra[72]; (c) the coupling and potential applications of different arrangements in gold nanorods system[89]; (d) coupling energy versus angle for different dipole center offsets[90].

    图 9  (a)表面等离激元共振诱导Fano共振的过程示意图; (b)固体金属球的米氏散射[96]; (c)不同结构配置的透射系数谱及标定位置对应的电场分布[99]; (d) Fano参数与相移关系及对应的Fano响应函数[100]

    Figure 9.  (a) Process of surface plasmon resonance inducing Fano resonance; (b) Mie scattering against a solid metallic sphere[96]; (c) the transmission coefficient spectra of different structural configurations and the electric field distribution corresponding to the calibration position[99]; (d) Fano parameter versus phase shift and the Fano response function[100].

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    Fang Z, Zhu X 2013 Adv. Mater. 25 3840Google Scholar

    [2]

    Barnes W L, Dereux A, Ebbesen T W 2003 Nature 424 824Google Scholar

    [3]

    Li Y, Li Z, Chi C, Shan H, Zheng L, Fang Z 2017 Adv. Sci. 4 1600430Google Scholar

    [4]

    Lu D, Liu Z 2012 Nat. Commun. 3 1205Google Scholar

    [5]

    Chen W, Zhang S, Deng Q, Xu H 2018 Nat. Commun. 9 801Google Scholar

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    Søndergaard T, Bozhevolnyi S I, Beermann J, Novikov S M, Devaux E, Ebbesen T W 2010 Nano Lett. 10 291Google Scholar

    [7]

    Gramotnev D K, Bozhevolnyi S I 2013 Nat. Photon. 8 13

    [8]

    Zhu Y, Yuan W, Sun H, Yu Y 2017 Nanomaterials 7 221Google Scholar

    [9]

    李盼 2019 68 146201Google Scholar

    Li P 2019 Acta Phys. Sin. 68 146201Google Scholar

    [10]

    Zhang S, Li G C, Chen Y, Zhu X, Liu S D, Lei D Y, Duan H 2016 ACS Nano 10 11105Google Scholar

    [11]

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    Wang X, Zhu X, Shi H, Chen Y, Chen Z, Zeng Y, Tang Z, Duan H 2018 ACS Appl. Mater. Inter. 10 35607Google Scholar

    [13]

    Liu N, Mesch M, Weiss T, Hentschel M, Giessen H 2010 Nano Lett. 10 2342Google Scholar

    [14]

    Homola J, Yee S S, Gauglitz G 1999 Sens. Actuators, B 54 3Google Scholar

    [15]

    Liedberg B, Nylander C, Lunström I 1983 Sens. Actuators 4 299Google Scholar

    [16]

    Linic S, Christopher P, Ingram D B 2011 Nat. Mater. 10 911Google Scholar

    [17]

    Thomann I, Pinaud B A, Chen Z, Clemens B M, Jaramillo T F, Brongersma M L 2011 Nano Lett. 11 3440Google Scholar

    [18]

    Morfa A J, Rowlen K L, III T H R, Romero M J, van de Lagemaat J 2008 Appl. Phys. Lett. 92 013504Google Scholar

    [19]

    Song J, Yang X, Jacobson O, Lin L, Huang P, Niu G, Ma Q, Chen X 2015 ACS Nano 9 9199Google Scholar

    [20]

    Yanase Y, Hiragun T, Ishii K, Kawaguchi T, Yanase T, Kawai M, Sakamoto K, Hide M 2014 Sensors 14 4948Google Scholar

    [21]

    Drude P 1900 Ann. Phys. 306 566Google Scholar

    [22]

    Mie G 1908 Ann. Phys. 330 377Google Scholar

    [23]

    Fano U 1941 J. Opt. Soc. Am. 31 213Google Scholar

    [24]

    Rechberger W, Hohenau A, Leitner A, Krenn J R, Lamprecht B, Aussenegg F R 2003 Opt. Commun. 220 137Google Scholar

    [25]

    Prodan E, Radloff C, Halas N J, Nordlander P 2003 Science 302 419Google Scholar

    [26]

    Engheta N, Salandrino A, Alù A 2005 Phys. Rev. Lett. 95 095504Google Scholar

    [27]

    Pitarke J M, Silkin V M, Chulkov E V, Echenique P M 2007 Rep. Prog. Phys. 70 1

    [28]

    Maier S A 2007 Plasmonics: Fundamentals and Applications (New York: Springer Science & Business Media) pp5−101

    [29]

    方容川 2001 固体光谱学(合肥: 中国科学技术大学出版社) 第1−21页

    Fang R C 2001 Solid Spectroscopy (Hefei: University of Science and Technology of China Press) pp1−21 (in Chinese)

    [30]

    Vial A, Grimault A S, Macías D, Barchiesi D, de la Chapelle M L 2005 Phys. Rev. B 71 085416Google Scholar

    [31]

    Hu H 2013 Ph. D. Dissertation (Singapore: Nanyang Thechnological University)

    [32]

    Kleinman S L, Ringe E, Valley N, Wustholz K L, Phillips E, Scheidt K A, Schatz G C, van Duyne R P 2011 J. Am. Chem. Soc. 133 4115Google Scholar

    [33]

    Kumar K, Duan H, Hegde R S, Koh S C W, Wei J N, Yang J K W 2012 Nat. Nanotechnol. 7 557Google Scholar

    [34]

    Zhang X, Liu Z 2008 Nat. Mater. 7 435Google Scholar

    [35]

    Willets K A, Duyne R P V 2007 Annu. Rev. Phys. Chem. 58 267Google Scholar

    [36]

    Raether H 1988 Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Berlin, Heidelberg: Springer) pp4−39

    [37]

    Zia R, Schuller J A, Chandran A, Brongersma M L 2006 Mater. Today 9 20

    [38]

    张文君, 高龙, 魏红, 徐红星 2019 68 147302Google Scholar

    Zhang W J, Gao L, Wei H, Xu H X 2019 Acta Phys. Sin. 68 147302Google Scholar

    [39]

    Otto A 1968 Z. Physik 216 398Google Scholar

    [40]

    Maier S A, Barclay P E, Johnson T J, Friedman M D, Painter O 2004 Appl. Phys. Lett. 84 3990Google Scholar

    [41]

    Zhou W, Gao H, Odom T W 2010 ACS Nano 4 1241Google Scholar

    [42]

    Ditlbacher H, Krenn J R, Felidj N, Lamprecht B, Schider G, Salerno M, Leitner A, Aussenegg F R 2002 Appl. Phys. Lett. 80 404Google Scholar

    [43]

    Bouhelier A, Wiederrecht G P 2005 Opt. Lett. 30 884Google Scholar

    [44]

    Kim C S, Vurgaftman I, Flynn R A, Kim M, Lindle J R, Bewley W W, Bussmann K, Meyer J R, Long J P 2010 Opt. Express 18 10609Google Scholar

    [45]

    Hecht B, Bielefeldt H, Novotny L, Inouye Y, Pohl D W 1996 Phys. Rev. Lett. 77 1889Google Scholar

    [46]

    Homola J 2008 Chem. Rev. 108 462Google Scholar

    [47]

    Murray W A, Barnes W L 2007 Adv. Mater. 19 3771Google Scholar

    [48]

    Hartland G V 2011 Chem. Rev. 111 3858Google Scholar

    [49]

    Link S, El-Sayed M A 1999 J. Phys. Chem. B 103 8410Google Scholar

    [50]

    Hulst H C, Hulst H C V D 1957 Light Scattering by Small Particles (New York: Dover Publications, Inc.) pp114−128

    [51]

    Bohren C F, Huffman D R 2008 Absorption and Scattering of Light by Small Particles (New York: John Wiley & Sons) pp287−428

    [52]

    Meier M, Wokaun A 1983 Opt. Lett. 8 581Google Scholar

    [53]

    Wokaun A, Gordon J P, Liao P F 1982 Phys. Rev. Lett. 48 957Google Scholar

    [54]

    Kreibig U 1976 Appl. Phys. 10 255Google Scholar

    [55]

    Kreibig U, Vollmer M 2013 Optical Properties of Metal Clusters (New York: Springer Science & Business Media) pp14−193

    [56]

    Coronado E A, Schatz G C 2003 J. Chem. Phys. 119 3926Google Scholar

    [57]

    Gans R 1912 Ann. Phys. 342 881Google Scholar

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Metrics
  • Abstract views:  29519
  • PDF Downloads:  1520
  • Cited By: 0
Publishing process
  • Received Date:  10 September 2019
  • Accepted Date:  08 October 2019
  • Available Online:  27 November 2019
  • Published Online:  01 December 2019

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