Volume 49 Issue S1
Sep.  2020
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Yang Shuangyue, Gu Yiying, Hu Jingjing, Li Xiaozhou, Zhao Mingshan, Han Xiuyou, Wu Zhenlin. Design of sub-wavelength ultra-narrow band filter[J]. Infrared and Laser Engineering, 2020, 49(S1): 20200134. doi: 10.3788/IRLA20200134
Citation: Yang Shuangyue, Gu Yiying, Hu Jingjing, Li Xiaozhou, Zhao Mingshan, Han Xiuyou, Wu Zhenlin. Design of sub-wavelength ultra-narrow band filter[J]. Infrared and Laser Engineering, 2020, 49(S1): 20200134. doi: 10.3788/IRLA20200134

Design of sub-wavelength ultra-narrow band filter

doi: 10.3788/IRLA20200134
  • Received Date: 2020-04-10
  • Rev Recd Date: 2020-05-10
  • Publish Date: 2020-09-22
  • A structural design of a sub-wavelength dual guided-mode resonance (GMR) grating transmission filter was proposed on the basis of the rigorous coupled wave theory (RCWA). The fundamental concept was to use a symmetrical dual GMR grating structure to constrain all electromagnetic energy in the waveguide layer, resulting in efficient resonance peak. In addition, two double GMR grating structures were realized by cascading two single GMR grating structures with or without an air gap. The simulation results show that the filtering effect utilizing the double GMR grating structure without the air layer can be realized at 1 550 nm, whose peak transmittance is about 100% and half-value width (FWHM) can reach to 0.012 nm. The double GMR grating flat-top filter structure with the air layer of 2.13 μm, utilizing the GMR in conjunction with Fabry-Perot resonance (FPR), has a peak transmittance of about 100% at a resonance wavelength of 1 550 nm and a FWHM of 0.15 nm with the flatness of 0.1 dB. The proposed two compact and simple structures show promising potential for optical filtering and sensing applications.
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    [3] Hessel A, Oliner A A. A new theory of Wood's anomalies on optical gratings[J]. Applied Optics, 1965, 4(10):1275-1297.
    [4] Magnusson R, Wang S S. New principle for optical filters[J]. Applied Physics Letters, 1992, 61(9):1022-1024.
    [5] Cho E H, Kim H S, Cheong B H, et al. Two-dimensional photonic crystal color filter development[J]. Optics Express, 2009, 17(10):8621-8629.
    [6] Fan H, Huang Y, Duan X, et al. Ultranarrow band and high transmittivity response filter with subwavelength grating structure[C]//Asia Communications and Photonics Conference, 2013:AF2B. 48.
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    [8] Ko Y H, Magnusson R. Flat-top bandpass filters enabled by cascaded resonant gratings[J]. Optics Letters, 2016, 41(20):4704-4707.
    [9] Mao Qiang, Tang Xionggui, Meng Fang, et al. Design and analysis of a microfluidic tunable narrowband filter based on a subwavelength grating structure[J]. Progress in Laser and Optoelectronics, 2019, 56(4):042301. (in Chinese)毛强, 唐雄贵, 孟方, 等. 基于亚波长光栅结构的微流控可调窄带滤波器设计与分析[J]. 激光与光电子学进展, 2019, 56(4):042301.
    [10] Moharam M G, Pommet D A, Grann E B, et al. Stable implementation of the rigorous coupled-wave analysis for surface-relief gratings:enhanced transmittance matrix approach[J]. JOSA A, 1995, 12(5):1077-1086.
    [11] Tang Xionggui, Fu Kexiang, Wang Zhihuan,et al. Analysis of rigorous modal theory for arbitrary dielectric gratings made with anisotropic materials[J]. Acta Optica Sinica, 2002, 22(7):774-779. (in Chinese)唐雄贵, 傅克祥, 王植恒, 等.任意各向异性介质光栅的严格模式理论分析[J]. 光学学报, 2002, 22(7):774-779.
    [12] Jiang Jiacheng. Grating structure parameter measurement method based on strict coupled wave theory[D]. Harbin:Harbin Institute of Technology, 2017. (in Chinese)蒋家成. 基于严格耦合波理论的光栅结构参数测量方法[D]. 哈尔滨:哈尔滨工业大学, 2017.
    [13] Shin D, Tibuleac S, Maldonado T A, et al. Thin-film optical filters with diffractive elements and waveguides[J]. Opt En, 1998, 37:2634-2646.
    [14] Zhao Hao. Analysis of guided mode resonance filter based on gallium nitride[D]. Nanjing:Nanjing University of Posts and Telecommunications, 2015. (in Chinese)赵昊. 基于氮化镓的导模共振滤波器分析研究[D]. 南京:南京邮电大学, 2015.
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Design of sub-wavelength ultra-narrow band filter

doi: 10.3788/IRLA20200134
  • 1. School of Optoelectronic Engineering and Instrument Science, Dalian University of Technology, Dalian 116024, China;
  • 2. School of Physics, Dalian University of Technology, Dalian 116024, China

Abstract: A structural design of a sub-wavelength dual guided-mode resonance (GMR) grating transmission filter was proposed on the basis of the rigorous coupled wave theory (RCWA). The fundamental concept was to use a symmetrical dual GMR grating structure to constrain all electromagnetic energy in the waveguide layer, resulting in efficient resonance peak. In addition, two double GMR grating structures were realized by cascading two single GMR grating structures with or without an air gap. The simulation results show that the filtering effect utilizing the double GMR grating structure without the air layer can be realized at 1 550 nm, whose peak transmittance is about 100% and half-value width (FWHM) can reach to 0.012 nm. The double GMR grating flat-top filter structure with the air layer of 2.13 μm, utilizing the GMR in conjunction with Fabry-Perot resonance (FPR), has a peak transmittance of about 100% at a resonance wavelength of 1 550 nm and a FWHM of 0.15 nm with the flatness of 0.1 dB. The proposed two compact and simple structures show promising potential for optical filtering and sensing applications.

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