激光与光电子学进展, 2023, 60 (18): 1811021, 网络出版: 2023-09-20  

杂化连续域内束缚态中的环形偶极子 下载: 531次特邀研究论文

Toroidal Dipole in Hybrid Bound States in the Continuum
丛龙庆 *†许桂珍 1†
作者单位
南方科技大学工学院电子与电气工程系,广东 深圳 518055
图 & 表

图 1. x-杂化BIC的双开口环谐振器及其能带折叠示意图。(a)周期p=73 μm、长l=60 μm的DSRR构成的单原子正方形晶格;(b)两个DSRR构成的x轴方向的周期为2p的双原子矩形超晶格,其中,α=|l1-l2|/l1+l2),为对称破缺度,l1l2分别为DSRR左右金属条的长度;(c)基于布里渊区的能带折叠示意图,其中,单原子晶格的X点折叠到双原子超晶格BZ中Γ点;(d)单原子晶格(蓝色圆圈)和超晶格(橙色圆点)的能带结构图及其折叠对应关系,其中,灰色虚线表示光锥。仿真中采取完美电导体层和无硅衬底结构模拟获得特征频率

Fig. 1. Schematic diagrams of Hx-BIC metasurfaces and band folding. (a) One unit cell of U-BIC lattice composed of DSRRs, where period p=73 μm and length l= 60 μm; (b) one unit cell of Hx-BIC lattice composed of dual DSRRs along x axis in a supercell, α=|l1-l2|/(l1+l2), represents asymmetry parameter, where l1 and l2 denote the total lengths of left and right metallic branches of DSRRs; (c)band folding of Brillouin zone, where the X-point of a single atomic lattice is folded into a diatomic superlattice BZ Γ point; (d) band structure diagrams and their folding relationships of U-BIC lattice (blue circles) and Hx-BIC lattice (orange dots), where gray dotted line represents light line. Perfect electric conductor and structures without substrate were used for DSRRs in simulations to calculate eigenvalues

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图 2. x-杂化BIC超表面的实验和仿真结果。(a)x-杂化BIC超表面的显微镜图像;(b)实验(橙色点线)和数值仿真(灰色实线)获得的幅度透射谱以及归一化的多极子展开散射强度;(c)y偏振激发的3个谐振模式的表面电流分布

Fig. 2. Experimental and simulated results of Hx-BIC metasurface. (a) Microscopic images of Hx-BIC metasurfaces; (b) amplitude transmission spectra of experimental (orange dotted line) and numerical simulations (gray solid line), and normalized scattering power of multipoles from simulations; (c) surface current distributions of three resonances with y-polarized incidence

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图 3. 数值分析结果。(a)电磁仿真获得的谐振I(蓝色)和谐振II(橙色)对应的Qα关系曲线;(b)谐振I(蓝色)和谐振II(红色)本征频率处的py和Ty分量与α关系曲线

Fig. 3. Numerical simulation results. (a) Relationship curve between the Q corresponding to resonance I (blue) and resonance II (orange) obtained from electromagnetic simulation and α; (b) relationship curve between the py and Ty components at the intrinsic frequencies of resonance I (blue) and resonance II (red) and α

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图 4. y-杂化BIC超表面的仿真和实验结果。(a)两个DSRR构成的y轴方向周期为2py-杂化BIC超表面结构,其中p = 73 μm,d = 15 μm(对称破缺度α = 0.128),插图为y-杂化超晶格的布里渊区能带折叠示意图;(b)y-杂化BIC超表面中,y偏振激发的3个谐振表面电流分布;(c)实验(橙色点线)和数值仿真(灰色实线)获得的幅度透射谱以及归一化的多极子分析散射强度谱;(d)谐振I(蓝色)和谐振II(橙色)对应的Qα关系曲线;(e)谐振I(蓝色)和谐振II(红色)本征频率处的py和Tx散射强度与α关系曲线

Fig. 4. Simulation and experimental results of Hy-BIC metasurfaces. (a) Hy-BIC lattice composed of dual DSRRs along y axis, where period p=73 μm, length l= 60 μm, and d = 15 μm (α = 0.128), the inset depicts the band folding of Hy-BIC lattice from U-BIC lattice; (b) surface current distributions of three resonances in Hy-BIC metasurfaces with y-polarized incidence; (c) amplitude transmission spectra of experimental (orange dotted line) and numerical simulations (gray solid line) and the normalized scattering power of multipoles from simulations; (d) relationship curve between the Q corresponding to resonance I (blue) and resonance II (orange) and α; (e) relationship curve between the scattering intensity of py and Tx components at the intrinsic frequencies of resonance I (blue) and resonance II (red) and α

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丛龙庆, 许桂珍. 杂化连续域内束缚态中的环形偶极子[J]. 激光与光电子学进展, 2023, 60(18): 1811021. Longqing Cong, Guizhen Xu. Toroidal Dipole in Hybrid Bound States in the Continuum[J]. Laser & Optoelectronics Progress, 2023, 60(18): 1811021.

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