• Photonics Research
  • Vol. 11, Issue 12, 2210 (2023)
Liye Li1, Yifan Ouyang2, Lijun Ma1, Hongshun Sun1, Yusa Chen1, Meizhang Wu3、4, Zhimei Qi5、6, and Wengang Wu1、7、8、*
Author Affiliations
  • 1National Key Laboratory of Science and Technology on Micro/Nano Fabrication, School of Integrated Circuits, Peking University, Beijing 100871, China
  • 2School of Electronics, Peking University, Beijing 100871, China
  • 3School of Automation, University of Science and Technology Beijing, Beijing 100083, China
  • 4School of Instrument Science and Opto-Electronics Engineering, Beijing Information Science and Technology University, Beijing 100096, China
  • 5State Key Laboratory of Transducer Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China
  • 6University of Chinese Academy of Sciences, Beijing 100049, China
  • 7Beijing Advanced Innovation Center for Integrated Circuits, Beijing 100871, China
  • 8Frontiers Science Center for Nano-optoelectronics, Peking University, Beijing 100871, China
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    DOI: 10.1364/PRJ.502199 Cite this Article Set citation alerts
    Liye Li, Yifan Ouyang, Lijun Ma, Hongshun Sun, Yusa Chen, Meizhang Wu, Zhimei Qi, Wengang Wu. Reflection-type surface lattice resonances in all-metal metasurfaces for refractive index sensing[J]. Photonics Research, 2023, 11(12): 2210 Copy Citation Text show less

    Abstract

    Surface lattice resonance (SLR) is a pretty effective mechanism to realize ultranarrow linewidths in the spectrum. Herein, we propose and demonstrate reflection-type SLRs in all-metal metasurfaces experimentally, compared with the traditional transmission-type SLR, which can avoid the refractive index (RI) mismatch problem and are more suitable for high-efficiency RI sensing due to direct contact and strong light–matter interaction. The measured SLR linewidth is 13.5 nm influenced by the meta-atom size, which needs a compromise design to keep a balance between the narrow linewidth and noise immunity. Notably, the SLR sensitivity is determined by the lattice period along the polarization direction with regularity, which establishes an intuitive link between structures and optical responses and provides a theoretical guide for metasurface designs. Additionally, incident angle multiplexing will make the resonance wavelength red shift or blue shift in the case of orthogonal polarization. The rectangular array metasurface can realize dual SLRs with different sensing performances. Flexibly, the SLR can also be formed by the different meta-atoms and arrays. This research supports SLR multifarious applications involving not only RI sensing but also nonlinear optics, nano-lasers, etc.
    n·ki=|n·ki·sinθi+iG1+jG2|,

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    λRA={n·Pxn·Pyfor(±1,0)  orderfor(0,±1)  order.

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    SSLR=dλSLRdndλRAdn=d(nPx)dn=Px.

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    λSLRTMλRATM=Px·(n+sinθi).

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    λSLRTEλRATE=Py·n2sin2θi.

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    SSLRTM=dλSLRTMdnd(Px·(n+sinθi))dn=Px,

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    SSLRTE=dλSLRTEdnd(Py·n2sinθi2)dn=n·Pyn2sinθi2Py(θi0°).

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    λRAh=32·n·Lh,

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    λRAc=32·n·Lc,

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    kSPP=k0εd·εmεd+εm,(A1)

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    nair·sinθi=n·sinθt,(D1)

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    n·2πλRA=n·2πλRA·sinθt+2πPx.(D2)

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    n·2πλRA=2πλRA·sinθi+2πPx.(D3)

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    n·2πλRA=|n·2πλRA·sinθt·x+2πPy·y|,(D4)

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    n·2πλRA=(2πλRA·sinθi)2+(2πPy)2.(D5)

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    Gp·Rq=2πδpq={2π,0,p=q,pq,p,q=1,2.(G1)

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    n·2πλRAh=|G1|=4π3Lh.(G2)

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    n·2πλRAc=|G1|=4π3Lc.(G3)

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    Liye Li, Yifan Ouyang, Lijun Ma, Hongshun Sun, Yusa Chen, Meizhang Wu, Zhimei Qi, Wengang Wu. Reflection-type surface lattice resonances in all-metal metasurfaces for refractive index sensing[J]. Photonics Research, 2023, 11(12): 2210
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