• Photonics Research
  • Vol. 13, Issue 2, 351 (2025)
Jia Shi1,2,*, Guanlong Wang1, Longhuang Tang3,4, Xiang Wang3..., Shaona Wang1, Cuijuan Guo1, Hua Bai1, Pingjuan Niu1, Jianquan Yao2 and Jidong Weng3|Show fewer author(s)
Author Affiliations
  • 1Tianjin Key Laboratory of Optoelectronic Detection Technology and System, School of Electronic and Information Engineering, Tiangong University, Tianjin 300387, China
  • 2Key Laboratory of Opto-Electronics Information Technology (Ministry of Education), School of Precision Instruments and Opto-Electronic Engineering, Tianjin University, Tianjin 300072, China
  • 3Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621900, China
  • 4e-mail: tanglonghuang@tju.edu.cn
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    DOI: 10.1364/PRJ.542798 Cite this Article Set citation alerts
    Jia Shi, Guanlong Wang, Longhuang Tang, Xiang Wang, Shaona Wang, Cuijuan Guo, Hua Bai, Pingjuan Niu, Jianquan Yao, Jidong Weng, "High-efficiency focusing metalens based on metagrating arrays," Photonics Res. 13, 351 (2025) Copy Citation Text show less
    (a) The model of electromagnetic wave normal incidence into a metagrating array. (b) The schematic diagram of an asymmetric unit cell. (c) The bending angles of T−1 order with different diffraction periods Px. (d) The top view and (e) the section view of the schematic diagram of a metalens.
    Fig. 1. (a) The model of electromagnetic wave normal incidence into a metagrating array. (b) The schematic diagram of an asymmetric unit cell. (c) The bending angles of T1 order with different diffraction periods Px. (d) The top view and (e) the section view of the schematic diagram of a metalens.
    The schematic simulated electric field distributions of bending incident terahertz waves to different angles with different diffraction periods of 5.22 mm, 6.10 mm, 7.76 mm, and 16.47 mm. (a) Px1, (b) Px2, (c) Px3, and (d) Px4.
    Fig. 2. The schematic simulated electric field distributions of bending incident terahertz waves to different angles with different diffraction periods of 5.22 mm, 6.10 mm, 7.76 mm, and 16.47 mm. (a) Px1, (b) Px2, (c) Px3, and (d) Px4.
    (a) The manipulation efficiency and (b) diffraction efficiency of T−1 order at different frequencies for the diffraction period Px2 with different parameters h and g. (c) The transmission spectra of different diffraction orders of diffraction period Px2. (d) The manipulation efficiency and (e) the diffraction efficiency of diffraction period Px2 with different geometrical parameters Δd, g, and h at 0.14 THz.
    Fig. 3. (a) The manipulation efficiency and (b) diffraction efficiency of T1 order at different frequencies for the diffraction period Px2 with different parameters h and g. (c) The transmission spectra of different diffraction orders of diffraction period Px2. (d) The manipulation efficiency and (e) the diffraction efficiency of diffraction period Px2 with different geometrical parameters Δd, g, and h at 0.14 THz.
    (a) The efficiencies of designed unit cells with the highest manipulation efficiency and (b) the highest diffraction efficiency optimization methods. (c) The simulated electric field distribution of the metalens with the highest manipulation efficiency and (d) the highest diffraction efficiency.
    Fig. 4. (a) The efficiencies of designed unit cells with the highest manipulation efficiency and (b) the highest diffraction efficiency optimization methods. (c) The simulated electric field distribution of the metalens with the highest manipulation efficiency and (d) the highest diffraction efficiency.
    (a) The microscope images of fabricated metalenses with the metalens designed with the highest manipulation efficiency and (b) the highest diffraction efficiency. (c) The schematic diagram of the scanning transmission system for the characterization of the metalens. (d) The normalized intensity distributions of the focal spot measured by the knife-edge method in x−y plane of the metalens with the highest manipulation efficiency and (e) the metalens with the highest diffraction efficiency. (f) The experimental measurement normalized intensity distributions of the depth of focus along z-axis of the metalens with the highest manipulation efficiency and (g) the metalens with the highest diffraction efficiency.
    Fig. 5. (a) The microscope images of fabricated metalenses with the metalens designed with the highest manipulation efficiency and (b) the highest diffraction efficiency. (c) The schematic diagram of the scanning transmission system for the characterization of the metalens. (d) The normalized intensity distributions of the focal spot measured by the knife-edge method in xy plane of the metalens with the highest manipulation efficiency and (e) the metalens with the highest diffraction efficiency. (f) The experimental measurement normalized intensity distributions of the depth of focus along z-axis of the metalens with the highest manipulation efficiency and (g) the metalens with the highest diffraction efficiency.
    (a) The experimental configuration of transmission terahertz imaging system. (b), (c) The transmitted terahertz image of the marked area of USAF 1951 test chart demonstrated by the metalens with the highest manipulation efficiency, and with (d), (e) the highest diffraction efficiency. (f) Normalized distribution of intensity along the white dashed line of the longitudinal and (g) transverse signals with the highest manipulation and diffraction efficiencies in the transmitted image.
    Fig. 6. (a) The experimental configuration of transmission terahertz imaging system. (b), (c) The transmitted terahertz image of the marked area of USAF 1951 test chart demonstrated by the metalens with the highest manipulation efficiency, and with (d), (e) the highest diffraction efficiency. (f) Normalized distribution of intensity along the white dashed line of the longitudinal and (g) transverse signals with the highest manipulation and diffraction efficiencies in the transmitted image.
    Unit CellPx (mm)nd1 (mm)Δd (mm)h (mm)g (mm)
    Metalens with the highest manipulation efficiencyPx15.22210.62.60.7
    Px26.10210.52.71
    Px37.76210.72.70.8
    Px416.4780.50.22.80.3
    Metalens with the highest diffraction efficiencyPx15.22210.62.50.5
    Px26.10210.52.60.9
    Px37.76210.72.50.5
    Px416.4780.50.22.90.2
    Table 1. Design Parameters of Each Diffraction Period with Two Optimization Methods
    Unit Celld1 (μm)Δd (μm)g (μm)
    DesignFabrication ErrorDesignFabrication ErrorDesignFabrication Error
    Metalens with the highest manipulation efficiencyPx11000±24.6600±19.1700±32.6
    Px21000±36.9500±21.61000±38.5
    Px31000±32.3700±29.1800±34.2
    Px4500±35.1200±27.6300±32.4
    Metalens with the highest diffraction efficiencyPx11000±28.4600±18.5500±25.4
    Px21000±30.6500±28.7900±29.3
    Px31000±26.6700±38.3500±30.0
    Px4500±39.1200±21.6200±36.4
    Table 2. Statistical Analysis of the Fabrication Errors
    ReferenceMaterialsDiffraction EfficiencyManipulation EfficiencyDOFFocal Spot Diameter
    [42]Si/SiO247.2%34.9%7.89λ1.11λ
    [59]Si-35%23λ2.3λ
    [60]Si-75.3%4.8λ0.97λ
    [61]Si/SiO2-43.1%1.23λ1λ
    [62]Au/SiO2-61.62%-1.73λ
    [63]Graphene/Si--8.54λ1.72λ
    [64]Si-95%3.2λ1.48λ
    [65]Si-<90%-1.15λ
    [66]Si-60%21.3λ1.01λ
    Metalens 1 (this work)Resin58.3%98.1%22.7λ0.93λ
    Metalens 2 (this work)Resin62.5%94.6%24.6λ0.91λ
    Table 3. Performance Comparison with Some Published Results
    Jia Shi, Guanlong Wang, Longhuang Tang, Xiang Wang, Shaona Wang, Cuijuan Guo, Hua Bai, Pingjuan Niu, Jianquan Yao, Jidong Weng, "High-efficiency focusing metalens based on metagrating arrays," Photonics Res. 13, 351 (2025)
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