Chinese Optics Letters, Volume. 23, Issue 6, 063604(2025)

Double-functioned metalens inspired by compound eyes for naked-eye 3D display with high efficiency, high resolution, and large viewing range

Jian Zhu1, Qinyue Sun2, Zhenhuan Tian2、*, Xuzheng Wang2, Feng Li2, and Feng Yun2、**
Author Affiliations
  • 1School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, China
  • 2Shaanxi Provincial Key Laboratory of Photonics & Information Technology, Xi’an Jiaotong University, Xi’an 710049, China
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    Figures & Tables(13)
    Schematics of (a) 3D display system based on lenticular lens, (b) 3D display based on a metalens, (c) illuminance distribution varied with the viewing positions for subpixel 1 and subpixel 2, and (d) calculation method of the deflection angle for subpixels.
    (a) Schematic of double-functioned metalens and bionic compound eye metasurface for multiview display, and image designs for (b) optical system with 2N subpixels, (c) optical system with four subpixels, and (d) optical system with 12 subpixels.
    (a) Schematic diagram of the metalens integrated with micro-LED for FDTD simulation; (b) numerical calculations for the transmittance and phase shift as a function of the radius; (c) phase varying with radius and height; (d) transmittance varying with radius and height; (e) comparison of the target phase and the real phase.
    Simulated results of metalens with a specific deflection angle: normalized intensity distribution of electric field in the x–z plane, normalized far-field light intensity distribution, and their vertical cross section.
    Schematic diagram of (a) module splicing and module penetration metalens; simulation results of module splicing metalens (b) before ratio adjustment and (c) after ratio adjustment; simulation results of module penetration metalens (e) before ratio adjustment and (f) after ratio adjustment.
    Calculated far-field intensity distributions with x-polarized, y-polarized, and z-polarized dipoles as well as the average intensities of the incoherent dipoles.
    Far-field luminous intensity distributions of the designed metalens/micro-LED optical systems with (a) N = 2 and (b) N = 3.
    (a) Calculated cross talk degrees for different viewing points with N = 3 and OVD = 75 cm; (b)–(i) MTF values of the metalens with the same specific deflection angles.
    Calculated images at different viewing points for N = 3 and VOD = 75 cm.
    • Table 1. Simulated Results of Metalens with a Specific Deflection Angle for Different Viewing Points

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      Table 1. Simulated Results of Metalens with a Specific Deflection Angle for Different Viewing Points

       Metalens for left eyeMetalens for right eye
      View 1View 3View 5View 7View 2View 4View 6View 8
      Deflection angle (°)−41.5−22833.8−33.8−82241.5
      Position at observation screen (mm)−223.65−98.2533.16163.34−163.33−33.1798.25223.65
      Deflection efficiency67.42%60.65%91.04%83.81%80.19%91.83%64.84%71.36%
    • Table 2. Design Parameters and Simulated Results of Multideflected Metalens by Module Splicing

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      Table 2. Design Parameters and Simulated Results of Multideflected Metalens by Module Splicing

      Metalens for left eyeMetalens for right eye
      Deflection angle (°)−22°33.8°−41.5°−8°22°−33.8°41.5°
      Splicing (before ratio adjustment)Area of meta-lens modules (µm × µm)15 × 3015 × 3015 × 3015 × 3015 × 3015 × 3015 × 3015 × 30
      Deflection efficiency28%16.46%8.88%6.19%27.56%15.95%8.96%6.06%
      Total deflection efficiency59.53%58.53%
      Splicing (after ratio adjustment)Area of metalens modules (µm × µm)9 × 309 × 3012 × 3015 × 309 × 3012 × 3015 × 3015 × 30
      Deflection efficiency18.56%19.38%17.05%21.33%17.49%17.49%23.09%16.18%
      Total deflection efficiency76.32%75.81%
    • Table 3. Design Parameters and Simulated Results of Multideflected Metalens by Module Penetration

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      Table 3. Design Parameters and Simulated Results of Multideflected Metalens by Module Penetration

      Metalens for left eyeMetalens for right eye
      Module 1Module 2Module 1Module 2
      Deflection angle (°)−22°33.8°−41.5°−8°41.5°22°−33.8°
      Penetration (before ratio adjustment)Area of metalens modules (µm × µm)15 × 3015 × 3015 × 3015 × 30
      Quantitative proportion of unit cells1:11:11:11:1
      Deflection efficiency15.95%19.04%30.8%13.33%29.86%12.78%16.06%19.34%
      Total deflection efficiency79.12%78.04%
      Penetration (after ratio adjustment)Area of metalens modules (µm × µm)15 × 3015 × 3015 × 3015 × 30
      Quantitative proportion of unit cells4:32:32:34:3
      Deflection efficiency19.38%17.05%18.56%21.33%17.49%16.18%17.49%23.09%
      Total deflection efficiency76.32%75.81%
    • Table 4. Design Parameters and Simulated Results of Multideflected Metalens with N = 2

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      Table 4. Design Parameters and Simulated Results of Multideflected Metalens with N = 2

       Metalens for subpixel 1Metalens for subpixel 2Metalens for subpixel 3Metalens for subpixel 4
      Deflection angle (°)−41.5−22833.8−37.9−14.614.637.9−33.8−82241.5−27.5027.5
      Position at OVD = 25 cm (mm)−223−9833163−195−6565195−163−3398223−1300130
      Viewing point1(L)5(L)9(L)13(L)2(L)6(L)10(L)14(L)3(R)7(R)11(R)15(R)4(R)8(R)12(R)
      Position at OVD = 50 cm (mm)−446−19666326−390−130130390−326−66196446−2600260
      Viewing point1(L)5(L)9(L)13(L)2(R)6(R)10(R)14(R)3(L)7(L)11(L)15(L)4(R)8(R)12(R)
      Deflection efficiency (%)14.024.932.017.014.930.229.522.416.832.424.714.211.937.110.8
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    Jian Zhu, Qinyue Sun, Zhenhuan Tian, Xuzheng Wang, Feng Li, Feng Yun, "Double-functioned metalens inspired by compound eyes for naked-eye 3D display with high efficiency, high resolution, and large viewing range," Chin. Opt. Lett. 23, 063604 (2025)

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    Paper Information

    Category: Nanophotonics, Metamaterials, and Plasmonics

    Received: Aug. 25, 2024

    Accepted: Jan. 23, 2025

    Published Online: Jun. 3, 2025

    The Author Email: Zhenhuan Tian (tianzhenhuan@xjtu.edu.cn), Feng Yun (fyun2010@xjtu.edu.cn)

    DOI:10.3788/COL202523.063604

    CSTR:32184.14.COL202523.063604

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