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基于十字连通形环形谐振腔金属-介质-金属波导的折射率传感器和滤波器

祁云平 张雪伟 周培阳 胡兵兵 王向贤

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基于十字连通形环形谐振腔金属-介质-金属波导的折射率传感器和滤波器

祁云平, 张雪伟, 周培阳, 胡兵兵, 王向贤

Refractive index sensor and filter of metal-insulator-metal waveguide based on ring resonator embedded by cross structure

Qi Yun-Ping, Zhang Xue-Wei, Zhou Pei-Yang, Hu Bing-Bing, Wang Xiang-Xian
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  • 提出了由十字连通形环形谐振腔耦合两个金属-介质-金属(metal-insulator-metal,MIM)波导的结构,并用有限元法数值研究了表面等离极化激元在结构中的传输特性.通过对透射谱的研究,系统地分析了MIM结构的传感特性.结果表明,在透射光谱中有三个共振峰,即存在三种共振模式,其中透射峰与材料的折射率呈线性关系.通过对结构参数的优化,得到了折射率灵敏度(S)高达1500 nm/RIU的理论值,相应的传感分辨率为1.3310-4 RIU.更重要的是,灵敏度不受结构参数变化的影响,这意味着传感器的灵敏度不受制造偏差的影响.此外,谐振波长与环形腔中心半径成线性关系,该器件在较大波长范围内实现可调谐带通滤波.透射强度随着波导与环形腔间距的增大而减小,透射带宽同时减小,因此,可以通过控制环形腔与波导的耦合距离来调谐透射强度及透射带宽.研究结果对高灵敏度纳米级折射率传感器和带通滤波器的设计以及在生物传感器方面的应用都具有一定的指导意义.
    Continuous improvement in nanofabrication and nano-characterization capabilities have changed projections about the role that metals could play in developing the new optical devices. Surface plasmon polaritons are evanescent waves that propagate along a metal-dielectric interface. They can be laterally confined below the diffraction limit by using subwavelength metal structures, rendering them attractive to the development of miniaturized optical devices. A surface plasmon polariton refractive index sensor and filter which consist of two metal-insulator-metal (MIM) waveguides coupled to each other by a ring resonator embedded by cross structure are proposed. And the transmission characteristics of surface plasmon polaritons are studied in our proposed structure. The transmission properties of such a structure are simulated by the finite element method, and the eigenvalue wavelengths of the ring resonator are calculated theoretically. The sensing characteristics of such a structure are systematically analyzed by investigating the transmission spectrum. The results show that there are three resonance peaks in the transmission spectrum, that is, three resonance modes corresponding to the eigenvalue solutions of the first, second and third-order Bessel eigen-function equations, and each of which has a linear relationship with the refractive index of the material under sensing. Through the optimization of structural parameters, we achieve a theoretical value of the refractive index sensitivity (S) as high as 1500 nm/RIU, and the corresponding sensing resolution is 1.3310-4 RIU. More importantly, it is sensitive to none of the parameters of our proposed structure, which means that the sensitivity of the sensor is immune to the fabrication deviation. In addition, by the resonant theory of ring resonator, we find a linear relationship between the resonance wavelength and the radius of ring resonator. So the resonance wavelength can be easily manipulated by adjusting the radius and refractive index. In addition, the positions of transmission peaks can be easily modulated by changing the radius of the ring, which can be used to design band-pass filter for a large wavelength range. Moreover, the transmission intensity and the transmission bandwidth decrease as spacing distance between the MIM waveguide and ring cavity increases. These results would be helpful in designing the refractive index sensor of high-sensitivity and band-pass filters, and have guiding significance for biological sensor applications.
      通信作者: 祁云平, yunpq@126.com
    • 基金项目: 国家自然科学基金(批准号:61367005)、甘肃省自然科学基金-创新基地和人才计划(批准号:17JR5RA078)、西北师范大学青年教师科研能力提升计划(批准号:NWNU-LKQN-17-6)和西北师范大学学生创新能力提升计划(批准号:CX2018Y167)资助的课题.
      Corresponding author: Qi Yun-Ping, yunpq@126.com
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61367005), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA078), Northwest Normal University Young Teachers' Scientific Research Capability Upgrading Program (Grant No. NWNU-LKQN-17-6), and the Northwest Normal University Graduate Student Innovation Ability Enhancement Program Foundation, China (Grant No. CX2018Y167).
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  • [1]

    Hunsperger R G 2009 Integrated Optics:Theory and Application (Berlin:Springer) p85

    [2]

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

    [3]

    Pang Z, Tong H, Wu X, Zhu J, Wang X, Yang H, Qi Y 2018 Opt. Quant. Electron. 50 335

    [4]

    Wang L, Cai W, Tan X H, Xiang Y X, Zhang X Z, Xu J J 2011 Acta Phys. Sin. 60 067305 (in Chinese) [王垒, 蔡卫, 谭信辉, 向吟啸, 张心正, 许京军 2011 物理学报 60 067305]

    [5]

    Hua L, Wang G X, Liu X M 2013 Chin. Sci. Bull. 58 3607

    [6]

    Amini A, Aghili S, Golmohammadi S, Gasemi P 2017 Opt. Commun. 403 226

    [7]

    Wang G, Lu H, Liu X, Mao D, Duan L 2011 Opt. Express 19 3513

    [8]

    Gao H, Shi H, Wang C, Du C, Luo X, Deng Q, L Y, Lin X, Yao H 2005 Opt. Express 13 10795

    [9]

    Veronis G, Fan S 2005 Appl. Phys. Lett. 87 131102

    [10]

    Han Z, Liu L, Forsberg E 2006 Opt. Commun. 259 690

    [11]

    Zhang Z D, Zhao Y N, Lu D, Xiong Z H, Zhang Z Y 2012 Acta Phys. Sin. 61 187301 (in Chinese) [张志东, 赵亚男, 卢东, 熊祖洪, 张中月 2012 物理学报 61 187301]

    [12]

    Tang Y, Zhang Z D, Wang R B, Hai Z Y, Xue C Y, Zhang W D, Yan S B 2017 Sensors 17 784

    [13]

    Liu Z Q, Liu G Q, Liu X S, Shao H B, Chen J, Huang S, Liu M L, Fu G L 2015 Plasmonics 10 821

    [14]

    Wei W, Zhang X, Ren X 2015 Nanoscale Res. Lett. 10 211

    [15]

    Ren M X, Pan C P, Li Q Q, Cai W, Zhang X Z, Wu Q, Fan S S, Xu J J 2013 Opt. Lett. 38 3133

    [16]

    Gallinet B, Martin O J 2013 ACS Nano 7 6978

    [17]

    Shen Y, Zhou J H, Liu T R, Tao Y T, Jiang R B, Liu M X, Xiao G H, Zhu J H, Zhou Z K, Wang X H, Jin C J, Wang J F 2013 Nature Commun. 4 2381

    [18]

    Lodewijks K, Ryken J, Roy W V, Borghs G, Lagae L, Dorpe P V 2013 Plasmonics 8 1379

    [19]

    Qiu G, Ng S P, Wu C M 2016 Sens. Actuators B:Chem. 234 247

    [20]

    Zhang X N, Liu G Q, Liu Z Q, Hu Y, Cai Z J, Liu X S, Fu G L, Liu M L 2014 Opt. Eng. 53 107108

    [21]

    Huang D W, Ma Y F, Sung M J, Huang C P 2010 Opt. Eng. 49 054403

    [22]

    Zhang Y N, Xie W G, Wang J, Wang P 2018 Opt. Mater. 75 666

    [23]

    Wu D K, Kuhlmey B T, Eggleton B J 2009 Opt. Lett. 34 322

    [24]

    Lin X S, Huang X G 2008 Opt. Lett. 33 2874

    [25]

    Liu H, Gao Y, Zhu B, Ren G, Jian S 2015 Opt. Commun. 334 164

    [26]

    Wu T S, Liu Y M, Yu Z Y, Peng Y W, Shu C G, Ye H 2014 Opt. Express 22 7669

    [27]

    Wang T B, Wen X W, Yin C P, Wang H Z 2009 Opt. Express 17 24096

    [28]

    Liu D D, Wang J C, Zhang F, Pan Y W, Lu J, Ni X W 2017 Sensors 17 585

    [29]

    Johnson P B, Christy R W 1972 Phys. Rev. B 6 4370

    [30]

    Palik E D 1985 Handbook of Optical Constants of Solids (New York:Academic Press) pp350-356

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  • 收稿日期:  2018-04-20
  • 修回日期:  2018-07-19
  • 刊出日期:  2018-10-05

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