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The effect of substrate on terahertz transmission properties through metal subwavelength dual-ring structure

Liu Jian-Feng Zhou Qing-Li Shi Yu-Lei Li Lei Zhao Dong-Mei Zhang Cun-Lin

The effect of substrate on terahertz transmission properties through metal subwavelength dual-ring structure

Liu Jian-Feng, Zhou Qing-Li, Shi Yu-Lei, Li Lei, Zhao Dong-Mei, Zhang Cun-Lin
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  • Terahertz waves through a split-ring resonator (SRR) can induce the resonant absorption, and this can be explained by using the theory of LC resonant circuit and the model of half wave resonance. However, in the dual-ring structure without the split gap, we still observe the resonant absorption in the THz frequency range. By analyzing the phenomenon, we think that it can be explained by using a the model of half wave resonance. Furthermore, it is found that if the structure is fabricated on quartz crystal substrate, we can obtain the angle-dependent terahertz waveforms using terahertz time-domain spectroscopy (TDS) when the sample is rotated in plane, as well as the frequency domain spectra. But this phenomenon does not exist in the silicon-based structure, which may be attributed to the birefringence effect of the quartz crystal substrate on the subwavelength metal dual-ring structure. The main purpose of this article is to explain the physical process of the effect.
    • Funds: Project supported by the National Basic Research Program of China (Grant Nos. 2007CB310408, 2006CB302901), the National Natural Science Foundation of China (Grant Nos. 10804077, 11011120242, 10904098), the Beijing Municipal Commission of Education (Grant Nos. KM200910028006, KM201110028004), the Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality, the State Key Laboratory of Functional Materials for Informatics, and the Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences.
    [1]

    Xu J Z, Zhang X C 2007 Terahertz Science Technology and Application (Beijing: Beijing University Press) p69 (in Chinese) [许景周, 张希成 2007 太赫兹科学技术和应用 (北京: 北京大学出版社) 第69页]

    [2]

    Zhang C L 2008 Terahertz Sensing and Imaging (Beijing: National Defence Industry Press) p69 (in Chinese) [张存林 2008 太赫兹感测与成像 (北京: 国防工业出版社) 第64页]

    [3]

    BeardMC, Turner G M, Schmuttenmaer C A 2002 J. Phys. Chem. B 106 7146

    [4]

    Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theor Techniq. 47 2075

    [5]

    Gu B Y 2007 Phys. 36 280 (in Chinese) [顾本源 2007 物理 36 280]

    [6]

    Veselago V G 1968 Sov. Phys. Usp. 10 509

    [7]

    Li L, Zhou Q L, Shi Y L, Zhao D M, Zhang C L, Zhao K, Tian L, Zhao H, Bao R M, Zhao S Q 2011 Acta Phys. Sin. 60 019503 (in Chinese) [李磊, 周庆莉, 施宇蕾, 赵冬梅, 张存林, 赵昆, 田璐, 赵卉, 宝日玛, 赵嵩卿 2011 物理学报 60 019503]

    [8]

    Katsarakis N, Koschny T, Kafesaki M, Economou E N, Soukoulis C M 2004 Appl. Phys. Lett. 84 2943

    [9]

    Schurig D, Mock J J, Smith D R 2006 Appl. Phys. Lett. 88 041109

    [10]

    Withayachumnankul W, Abbott D 2009 IEEE Photonics Journal 1 99

    [11]

    Padilla W J, Taylor A J, Highstrete C, Lee M, Averitt R D 2006 Phys. Rev. Lett. 96 107401

    [12]

    Zhao M D, Shi Y L, Zhou Q L, Li L, Sun H J, Zhang C L 2011 Acta Phys. Sin. 60 093301 (in Chinese) [赵冬梅, 施宇蕾, 周庆莉, 李磊, 孙会娟, 张存林 2011 物理学报 60 093301]

    [13]

    Zhou J 2004 Journal of Functional Materials 35 125 (in Chinese) [周济 2004 功能材料 2004 年增刊 35 125]

    [14]

    Grischkowsky D, Keiding S, Exter M, Fattinger C 1990 J. Opt. Soc. Am. B 7 2006

    [15]

    Wu Q, Litz M, Zhang X C 1996 Appl. Phys. Lett. 68 2924

    [16]

    Cha H J, Jeong Y U, Park S H, Lee B C 2006 Journal of the Korean Phys. Soc. 49 354

    [17]

    Gu C, Qu S B, Pei Z B, Xu Z, Liu J, Gu W 2011 Chin. Phys. B 20 017801

    [18]

    Yang C Y, Xu X M, Ye T, Miao L P 2011 Acta Phys. Sin. 60 017807 (in Chinese) [杨春云, 徐旭明, 叶涛, 缪路平 2011 物理学报 60 017807]

  • [1]

    Xu J Z, Zhang X C 2007 Terahertz Science Technology and Application (Beijing: Beijing University Press) p69 (in Chinese) [许景周, 张希成 2007 太赫兹科学技术和应用 (北京: 北京大学出版社) 第69页]

    [2]

    Zhang C L 2008 Terahertz Sensing and Imaging (Beijing: National Defence Industry Press) p69 (in Chinese) [张存林 2008 太赫兹感测与成像 (北京: 国防工业出版社) 第64页]

    [3]

    BeardMC, Turner G M, Schmuttenmaer C A 2002 J. Phys. Chem. B 106 7146

    [4]

    Pendry J B, Holden A J, Robbins D J, Stewart W J 1999 IEEE Trans. Microwave Theor Techniq. 47 2075

    [5]

    Gu B Y 2007 Phys. 36 280 (in Chinese) [顾本源 2007 物理 36 280]

    [6]

    Veselago V G 1968 Sov. Phys. Usp. 10 509

    [7]

    Li L, Zhou Q L, Shi Y L, Zhao D M, Zhang C L, Zhao K, Tian L, Zhao H, Bao R M, Zhao S Q 2011 Acta Phys. Sin. 60 019503 (in Chinese) [李磊, 周庆莉, 施宇蕾, 赵冬梅, 张存林, 赵昆, 田璐, 赵卉, 宝日玛, 赵嵩卿 2011 物理学报 60 019503]

    [8]

    Katsarakis N, Koschny T, Kafesaki M, Economou E N, Soukoulis C M 2004 Appl. Phys. Lett. 84 2943

    [9]

    Schurig D, Mock J J, Smith D R 2006 Appl. Phys. Lett. 88 041109

    [10]

    Withayachumnankul W, Abbott D 2009 IEEE Photonics Journal 1 99

    [11]

    Padilla W J, Taylor A J, Highstrete C, Lee M, Averitt R D 2006 Phys. Rev. Lett. 96 107401

    [12]

    Zhao M D, Shi Y L, Zhou Q L, Li L, Sun H J, Zhang C L 2011 Acta Phys. Sin. 60 093301 (in Chinese) [赵冬梅, 施宇蕾, 周庆莉, 李磊, 孙会娟, 张存林 2011 物理学报 60 093301]

    [13]

    Zhou J 2004 Journal of Functional Materials 35 125 (in Chinese) [周济 2004 功能材料 2004 年增刊 35 125]

    [14]

    Grischkowsky D, Keiding S, Exter M, Fattinger C 1990 J. Opt. Soc. Am. B 7 2006

    [15]

    Wu Q, Litz M, Zhang X C 1996 Appl. Phys. Lett. 68 2924

    [16]

    Cha H J, Jeong Y U, Park S H, Lee B C 2006 Journal of the Korean Phys. Soc. 49 354

    [17]

    Gu C, Qu S B, Pei Z B, Xu Z, Liu J, Gu W 2011 Chin. Phys. B 20 017801

    [18]

    Yang C Y, Xu X M, Ye T, Miao L P 2011 Acta Phys. Sin. 60 017807 (in Chinese) [杨春云, 徐旭明, 叶涛, 缪路平 2011 物理学报 60 017807]

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  • Received Date:  25 March 2011
  • Accepted Date:  13 May 2011
  • Published Online:  15 April 2012

The effect of substrate on terahertz transmission properties through metal subwavelength dual-ring structure

  • 1. Beijing Key Laboratory for Terahertz Spectroscopy and Imaging, Key Laboratory of Terahertz Optoelectronics, Ministry of Education, Department of Physics, Capital Normal University, Beijing 100048, China
Fund Project:  Project supported by the National Basic Research Program of China (Grant Nos. 2007CB310408, 2006CB302901), the National Natural Science Foundation of China (Grant Nos. 10804077, 11011120242, 10904098), the Beijing Municipal Commission of Education (Grant Nos. KM200910028006, KM201110028004), the Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality, the State Key Laboratory of Functional Materials for Informatics, and the Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences.

Abstract: Terahertz waves through a split-ring resonator (SRR) can induce the resonant absorption, and this can be explained by using the theory of LC resonant circuit and the model of half wave resonance. However, in the dual-ring structure without the split gap, we still observe the resonant absorption in the THz frequency range. By analyzing the phenomenon, we think that it can be explained by using a the model of half wave resonance. Furthermore, it is found that if the structure is fabricated on quartz crystal substrate, we can obtain the angle-dependent terahertz waveforms using terahertz time-domain spectroscopy (TDS) when the sample is rotated in plane, as well as the frequency domain spectra. But this phenomenon does not exist in the silicon-based structure, which may be attributed to the birefringence effect of the quartz crystal substrate on the subwavelength metal dual-ring structure. The main purpose of this article is to explain the physical process of the effect.

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