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近年来, 连续体中的束缚态因具有极强的促进光与物质相互作用的能力, 是实现具有超高品质因子的光学共振的理想平台, 成为研究的热点. 本工作设计了一个单元胞由硅圆盘构成的全介质超表面, 在此超表面上观察到一个对称保护的束缚态, 当面内对称性被破坏时, 其可以转化为具有高质量品质因子的准束缚态. 随着背景折射率的改变, 共振峰的位置随之变化, 通过这一原理实现了一种生物折射率传感器. 由于品质因子和不对称参数成二次反比关系, 通过调节不对称参数, 品质因子也会发生改变, 从而实现传感性能的提升和调节. 经过调节, 该超表面的折射率传感灵敏度和优值分别达到162.55 nm/RIU和1711.05 RIU–1, 高于大部分的现有报道结果. 本工作的高品质因子全介质超表面设计为高灵敏度和高精度的生物检测提供了新的途径.In recent years, bound states in the continuum (BICs) have become a hot research topic because of their strong ability to facilitate light-matter interactions, and they are also an ideal platform for realizing optical resonances with ultra-high quality factors (Q). Nowadays, BICs have been found to exist in various photonic microstructures and nanostructures such as waveguides, gratings, and metasurfaces, among which metasurfaces have attracted much attention due to their ease of adjustment and considerable robustness. Traditional precious metal-based metasurfaces inevitably have low Q-factors due to the inherent defect of high ohmic losses. In contrast, due to lower ohmic losses, all-dielectric metasurfaces can be an excellent alternative to metallic metasurface structures. In this work, an all-dielectric metasurface is designed, with a silicon disc as the unit cell, and symmetric protected BIC (SP-BIC) is observed on the metasurface. When introducing eccentric holes to break the symmetry in the structural plane (QBIC), the SP-BIC can be transformed into a quasi-BIC, with radiation dominated by magnetic dipoles and has a high-quality Q-factor. For QBICs formed on the metasurface, the resonance wavelength is usually greatly dependent on the refractive index of the surroundings due to the strong localization of the electric field within the cell. As the refractive index of the background changes, the positions of the resonance peaks change accordingly, and identification sensing of some biological components is achieved by this principle. This metasurface-based bio-refractive index sensor is less invasive in free space and is expected to overcome the drawbacks of traditional electrochemical-based biosensing technologies, which have cumbersome detection steps and high time and material costs. In terms of sensing parameters, due to the quadratic inverse relationship between the quality factor and asymmetric parameters, by adjusting the asymmetric parameters, the quality factor will also change, thereby enhancing and adjusting the sensing performance. After adjusting, the refractive index sensing sensitivity and figure of merit of this metasurface reach 162.55 nm/RIU and 1711.05 RIU–1, respectively, which are higher than those achieved in many other existing studies. This high Q-factor all-dielectric metasurface design provides a new avenue for achieving high-sensitivity and high-precision bio-detection.
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Keywords:
- all-dielectric metasurface /
- bound states in the continuum /
- refractive index sensing /
- optical biosensing
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图 1 (a) 所提出的全介质超表面示意图, 结构参数为Px = Py = 900 nm, R = 300 nm, H = 100 nm, 玻璃衬底的厚度设定为1000 nm; (b) 在距离盘中心150 nm的固定距离内引入一个半径r可变的偏心孔以破坏结构的C2对称性; (c) 硅纳米盘超表面的前视图
Fig. 1. (a) Schematic of the proposed all-dielectric metasurface, the structural parameters are Px = Py = 900 nm, R = 300 nm, H = 100 nm, and the thickness of the glass substrate is set to 1000 nm; (b) an off-centered hole with variable radius r is introduced at a fixed distance of 150 nm from the center of the disc to break the C2 symmetry of the structure; (c) front view of the silicon nanodisc metasurface.
图 2 (a) 由周期排列的硅纳米盘阵列组成的超表面示意图; (b) 计算出图(a)中周期排列的硅纳米盘阵列的光子带结构, 灰色阴影表示位于自由空间光锥下方的区域, 被困的对称保护的BIC位置用红圈标记
Fig. 2. (a) Schematic of a metasurface consisting of periodically aligned arrays of silicon nanodiscs; (b) calculated photonic band structure of the periodically aligned silicon nanodisk array in panel (a), grey shading indicates the region located below the free-space light cone, the location of the trapped symmetrically protected BIC is marked with a red circle.
图 3 (a) 玻璃衬底上硅纳米盘超表面的透射谱相对于偏心孔半径的变化, SP-BIC的对应位置使用篮圈标记; (b)在r = 75 nm时的透射光谱, 以及与法诺公式拟合曲线的对比; (c) 在r = 75 nm时, 硅超表面共振的多级展开, 可以看出在共振波长位置处MD响应占绝对的主导地位; (d) Q因子和不对称参数α的关系, 为直观反映两者之间的关系采用对数坐标绘制; (e) 在r = 75 nm的情况下共振时的x-y平面电场分布图像, 红色箭头表示面内循环位移电流
Fig. 3. (a) Transmission spectrum of the silicon nanodisk metasurface on a glass substrate concerning the radius of the off-centered hole, the corresponding position of the SP-BIC is marked using a basket circle; (b) transmission spectrum at r = 75 nm and comparison with the fitted curve of Fano’s formula; (c) the multilevel unfolding of the silicon metasurface resonance at r = 75 nm shows that the MD response is dominant at the resonance wavelength position; (d) the relationship between the Q-factor and the asymmetry parameter α, which is plotted in logarithmic coordinates to visualize the relationship; (e) image of the x-y plane electric field distribution at resonance in the case of r = 75 nm, with the red arrows indicating the in-plane circulating displacement currents.
图 4 (a)不同背景折射率下的透射光谱; (b)共振波长随背景折射率的变化; (c)半高宽FWHM随背景折射率的变化; (d)对共振波长随背景折射率红移变化的线性拟合, 灵敏度S和优值FOM根据拟合梯度计算, 在拟合直线中标记了多种生物成分的RI
Fig. 4. (a) Transmission spectra at different background refractive indices; (b) variation of resonance wavelength with background refractive index; (c) variation of half-height width FWHM with background refractive index; (d) linear fit to the variation of resonance wavelength with background refractive index redshift, the sensitivity S and the superior value FOM are calculated from the fitted gradient, the RIs of multiple biological components are labeled in the fitted straight line.
表 1 不同机制超表面结构传感性能和本研究的对比
Table 1. Comparison of the sensing performance of different mechanisms of metasurface structures and the present study.
Mechanism Materical Q-factor S/
(nm·RIU–1)FOM/
RIU–1Reference Surface
plasmonAu 121 250 28 [68] Surface
plasmonAu ~40 450 28.8 [69] Surface
plasmonAu ~8 170 1.3 [70] SP-BIC Si 3326 145 389 [71] SP-BIC Si 8428 160 575 [72] SP-BIC Si3N4 ~103 178 445 [73] Fano resonance TiO2 5126 186.96 721 [74] Accidental BIC GaP <104 135 <103 [39] SP-BIC Si 16506 162.55 1711.05 This work 
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[1] Sadreev A F 2021 Rep. Prog. Phys. 84 055901
Google Scholar
[2] Koshelev K, Bogdanov A, Kivshar Y 2019 Sci. Bull. 64 836
Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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