Citation: | Jia X N, Wang M, Zhao Y H, et al. All-dielectric terahertz metasurface based on bound states in the continuum and the research of its equivalent parameter[J]. Opto-Electron Eng, 2025, 52(2): 240274. doi: 10.12086/oee.2025.240274 |
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In this research, an all-dielectric terahertz metasurface based on bound states in the continuum (BIC) is proposed. Each structural unit of the metasurface consists of two rectangle blocks with square cross-sections and a substrate. The asymmetric parameter Δw is defined as the reduction in edge length. The substrate material is quartz with a refractive index of 1.48, and the rectangular block material is silicon with a refractive index of 3.48 and no loss. The symmetry of the metasurface is broken by changing the cross-section area of the rectangle block, and the quasi-BIC is excited. The resonance with extremely narrow linewidth is obtained. The transmission spectra obtained from incident waves with different polarizations indicate that the resonance characteristics of the metasurface are significantly different under the two polarization modes, demonstrating its polarization dependence.
To study the resonance mechanism at the resonance frequency and gain a deeper understanding of the characteristics and behavior of the electric and magnetic fields, multipole decomposition is performed in Cartesian coordinates. At 1.6922 THz, the toroidal dipole (TD) dominates and the electric quadrupole (Qe) is suppressed, therefore the resonance type here is TD resonance. At 1.7611 THz, Qe dominates and TD is suppressed, therefore the resonance type here belongs to Qe resonance. The transmission spectra with different asymmetric , structural and material parameters are studied by using finite element method (FEM) and control variable method. Meanwhile, the Q factor of the proposed metasurface is calculated, which can reach 1.1006×104. From the table, compared to the metasurfaces listed in other literature, the proposed metasurface achieves a higher Q value. In addition, under the selected conditions, as the absolute value of Δw increases, the Q value decreases significantly. That is, under certain conditions, the Q value has an inverse quadratic relationship with the asymmetric parameter Δw, satisfying the equation Q ∝ Δw−2. At the same time, it can be seen that the closer the absolute value of Δw is to zero, the more the obtained Q value tends to infinity, which is in line with QBIC characteristics. In addition, this study is aimed at the limitations of the relatively limited research on the equivalent parameters of all-dielectric metasurfaces, the S-parameter extraction method is utilized to calculate and analyze the equivalent parameters of the proposed metasurface and the physical properties of the metasurface is studied from this perspective preliminarily.
The structure of the proposed all-dielectric metasurface. (a) Front view; (b) Top view; (c) Port setting
Transmission spectra under different polarization incidence. (a) x-polarization; (b) y-polarization
The transmission spectra under different
The result of multipole decomposition under Δw = 1 μm
Displacement current density, magnetic field distribution and electric field distribution at 1.6922 THz and 1.7611 THz. (a) The displacement current density at 1.6922 THz; (b) The electric field distribution at 1.6922 THz; (c) The magnetic field distribution at 1.6922 THz; (d) The displacement current density at 1.7611 THz; (e) The electric field distribution at 1.7611 THz; (f) The magnetic field distribution at 1.7611 THz
Transmission spectra under different structural parameters. (a) Substrate size Px; (b) Rectangular block height H; (c) Rectangular block spacing g; (d) Rectangular block side length w
Transmission spectra obtained under different refractive index losses
The relationship between the Q value and the
The equivalent parameters of the proposed metasurface. (a) Refractive index; (b) Equivalent impedance; (c) Relative permeability; (d) Relative dielectric constant