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涂覆石墨烯的非对称并行电介质纳米线波导的模式特性分析

彭艳玲 薛文瑞 卫壮志 李昌勇

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涂覆石墨烯的非对称并行电介质纳米线波导的模式特性分析

彭艳玲, 薛文瑞, 卫壮志, 李昌勇

Mode properties analysis of graphene-coated asymmetric parallel dielectric nanowire waveguides

Peng Yan-Ling, Xue Wen-Rui, Wei Zhuang-Zhi, Li Chang-Yong
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  • 采用多级展开方法,对涂覆石墨烯的非对称并行电介质纳米线波导的模式特性进行了分析.首先对这种波导中的表面等离子模式进行分类,然后对七种低阶模式的有效折射率和传播长度随工作频率、几何结构参数和石墨烯费米能的依赖关系进行详细的分析.结果表明,通过改变工作频率、几何结构参数和石墨烯的费米能,可以在较大范围内调节模式的特性.与有限元法进行的对比表明,基于多级方法的半解析结果与有限元法的数值结果非常符合.研究结果可为涂覆石墨烯的非对称并行电介质纳米线的设计和制作提供一定的理论基础.
    In this paper, the mode properties of graphene-coated asymmetric parallel dielectric nanowire waveguides are analyzed by the multipole expansion method. First, the surface plasmon modes supported by the waveguides are classified. Then, the influences of frequency, geometry parameters and graphene Fermi energy on the effective refractive index and propagation length of the seven low order modes are studied in detail. The seven low order modes can be divided into two categories: cos mode and sin mode. The cos mode includes modes 0, 2, 4 and 6, while sin mode includes modes 1, 3 and 5. The results show that the characteristics of the modes can be adjusted in a wide range by changing the frequency, geometrical parameters and the Fermi energy of graphene. When the frequency increases from 10 THz to 50 THz, the number of graphene surface plasmon modes increases and the effective refractive index of each mode increases monotonically. Moreover, with the increase of frequency, the propagation length of cos mode decreases monotonically, and the propagation length of sin mode shows the trend of first increasing and then decreasing. As the distance between the two dielectric nanowires increases, the mode properties of modes 0 and 1 change drastically, while the effective refractive indexes and propagation lengths of other modes vary very little. As the radius of one of the dielectric nanowires increases, the number of modes increases in the calculated range, while the effective refractive index and propagation length of each mode are less affected. In the process of increasing the Fermi energy of graphene from 0.3 eV to 0.7 eV, the effective refractive index and propagation length of each mode vary greatly. Moreover, the effective refractive index of each mode decreases monotonically, while the propagation length increases. It is also found that the compositions of the low order modes vary with the size of the two nanowires for this asymmetric structure. The comparison with the finite element method shows that the semi-analytical results based on multipole method are in good agreement with the numerical results from the finite element method. The present work may provide a theoretical basis for designing and fabricating the asymmetric parallel dielectric nanowires coated with graphene.
      通信作者: 薛文瑞, wrxue@sxu.edu.cn
    • 基金项目: 国家自然科学基金(批准号:61378039,61575115)和国家基础科学人才培养基金(批准号:J1103210)资助的课题.
      Corresponding author: Xue Wen-Rui, wrxue@sxu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61378039, 61575115) and the National Basic Science Talents Training Fund of China (Grant No. J1103210).
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  • [1]

    Castro Neto A H, Guinea F, Peres N M R, Novoselov K S, Geim A K 2009 Rev. Mod. Phys. 81 109

    [2]

    Bonaccorso F, Sun Z, Hasan T, Ferrari A C 2010 Nat. Photon. 4 611

    [3]

    Vakil A, Engheta N 2011 Science 332 1291

    [4]

    He X Y, Zhang X C, Zhang H, Xu M 2014 IEEE J. Sel. Top. Quant. 20 4500107

    [5]

    Christensen J, Manjavacas A, Thongrattanasiri S, Kippens F H L, Abajo F J G 2012 ACS Nano 6 431

    [6]

    Schedin F, Geim A K, Morozov S V, Hill E W, Blake P, Katsnelson M I, Novoselov K S 2007 Nat. Mater. 6 652

    [7]

    Rodrigo D, Limaj O, Janner D, Etezadi D, Abajo F J G, Pruneri V, Altug H 2015 Science 349 165

    [8]

    Lu Y, Goldsmith B R, Kybert N J, Johnson A T C 2010 Appl. Phys. Lett. 97 083107

    [9]

    Huang Z R, Wang L L, Sun B, He M D, Liu J Q, Li H J, Zhai X 2014 J. Opt. 16 105004

    [10]

    He S L, Zhang X Z, He Y G 2013 Opt. Express 21 30664

    [11]

    Qin K, Xiao B G, Sun R L 2015 Micro Nano Lett. 10 558

    [12]

    Xu W, Zhu Z H, Liu K, Zhang J F, Yuan X D, Lu Q S, Qin S Q 2015 Opt. Express 23 5147

    [13]

    Liu P H, Zhang X Z, Ma Z H, Cai W, Wang L, Xu J J 2013 Opt. Express 21 32432

    [14]

    Dai Y Y, Zhu X L, Mortensen N A, Zi J, Xiao S S 2015 J. Opt. 17 065002

    [15]

    Gao Y X, Ren G B, Zhu B F, Wang J, Jian S S 2014 Opt. Lett. 39 5909

    [16]

    Hajati M, Hajati Y 2016 J. Opt. Soc. Am. B 33 2560

    [17]

    Gao Y X, Ren G B, Zhu B F, Liu H Q, Lian Y D, Jian S S 2014 Opt. Express 22 24322

    [18]

    Yang J F, Yang J J, Deng W, Mao F C, Huang M 2015 Opt. Express 23 32289

    [19]

    Liu J P, Zhai X, Wang L L, Li H J, Xie F, Lin Q, Xia S X 2016 Plasmonics 11 703

    [20]

    Jiang J, Zhang D H, Zhang B L, Luo Y 2017 Opt. Lett. 42 2890

    [21]

    Wijingaard W 1973 J. Opt. Soc. Am. 63 944

    [22]

    Lo K M, McPhedran R C, Bassett I M, Milton G W 1994 J. Lightwave Technol. 12 396

    [23]

    Zhu B F, Ren G B, Yang Y, Gao Y X, Wu B L, Lian Y D, Wang J, Jian S S 2015 Plasmonics 10 839

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出版历程
  • 收稿日期:  2017-09-12
  • 修回日期:  2017-11-02
  • 刊出日期:  2018-02-05

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