Photonics Research, Volume. 8, Issue 10, 1613(2020)

Design and analysis of extended depth of focus metalenses for achromatic computational imaging

Luocheng Huang1、†, James Whitehead1、†, Shane Colburn1, and Arka Majumdar1,2、*
Author Affiliations
  • 1Department of Electrical and Computer Engineering, University of Washington, Seattle, Washington 98195, USA
  • 2Department of Physics, University of Washington, Seattle, Washington 98195, USA
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    Figures & Tables(18)
    EDOF metasurface design and measurements. (A) The phase masks of an ordinary metalens and four different EDOF metasurfaces. (B) Scanning electron micrographs of the fabricated metasurfaces. Inset shows the pillar distribution. (C) We experimentally measured the intensity along the optical axis where panels from top to bottom represent illumination by 625 nm, 530 nm, and 455 nm wavelengths. A cross section on the y–z plane is taken for each of the 3D PSFs.
    Characterization of the metasurfaces. The PSFs of the singlet metasurfaces were measured under (A) 455 nm blue, (B) 530 nm green, and (C) 625 nm red. The corresponding x–y plane cross sections of the experimental MTFs are displayed with red lines from its PSF measured under red light, green lines under green light, and blue lines under blue light. (D) The x–y plane cross sections of the theoretical MTFs are displayed in row (E). The scale bar signifies 25 μm. The MTF plots have a spatial frequency normalized to 560 cycles/mm.
    Simulated imaging performance after deconvolution. Deconvolved images captured by the EDOF imaging system, using the simulated images and PSFs. The experimental counterpart can be found in Fig. 4.
    Imaging performance. Restored images taken from (A) an OLED display of colored letters in ROYGBVWG, (B) a colorful neighborhood, and (C) vibrant umbrellas against the sky. The scale bar signifies 20 μm. Note that the metalens images are raw and unrestored.
    Full color SSIM. The restored captures are scaled, rotated, and translated to align with the ground truth; then SSIM is calculated for each color channel for the metasurface.
    Phase (dashed lines) and amplitude (solid lines) response of the nanopillars, simulated using RCWA.
    Simulated captured images before deconvolution. The experimental counterpart is shown in Fig. 9.
    SSIM values when different regularization parameters are utilized.
    Raw images taken from an OLED display of colored letters in (A) ROYGBVWG, (B) a colorful neighborhood, and (C) vibrant umbrellas against the sky.
    • Table 1. Imaging Bandwidth, Defined as the Bandwidth at One Half of the Maximum PSF Similarity Coefficient

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      Table 1. Imaging Bandwidth, Defined as the Bandwidth at One Half of the Maximum PSF Similarity Coefficient

       MetalensLog-AsphereShifted AxiconCubicSQUBIC
      Bandwidth (nm)15.2233.3233.3112.1157.6
      Center Wavelength (nm)543.9553.0547.0540.9530.3
    • Table 2. Theoretical Bandwidths of EDOF Metasurfaces

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      Table 2. Theoretical Bandwidths of EDOF Metasurfaces

       MetalensCubicLog-AsphereShifted AxiconSQUBIC
      Bandwidth (μm)104.4106.2105.0103.8101.8
    • Table 3. Exposure Durations for PSF (in Seconds)

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      Table 3. Exposure Durations for PSF (in Seconds)

       MetalensCubicLog-AsphereShifted AxiconSQUBIC
      Blue0.0060.0160.0090.0090.011
      Green0.0030.0120.0100.0100.005
      Red0.0500.0250.0140.0140.009
    • Table 4. Exposure Durations for Imaging (in Seconds)

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      Table 4. Exposure Durations for Imaging (in Seconds)

       MetalensCubicLog-AsphereShifted AxiconSQUBIC
      Exposure7.07.015.015.07.0
    • Table 5. SSIM on Simulation-Restored Images

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      Table 5. SSIM on Simulation-Restored Images

       MetalensCubicShifted AxiconLog-AsphereSQUBIC
      Blue0.1690.4400.4450.3920.502
      Green0.4640.3340.3610.3400.338
      Red0.1150.2590.2920.2610.131
    • Table 6. PSNR on Simulation-Restored Images (in dB)

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      Table 6. PSNR on Simulation-Restored Images (in dB)

       MetalensCubicShifted AxiconLog-AsphereSQUBIC
      Blue10.719.719.617.720.9
      Green21.318.918.517.418.1
      Red11.818.418.317.113.7
    • Table 7. SSIM on Simulation-Restored Images (Gray-Scale Ground Truth)

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      Table 7. SSIM on Simulation-Restored Images (Gray-Scale Ground Truth)

       MetalensCubicShifted AxiconLog-AsphereSQUBIC
      Blue0.1010.3170.3220.3120.385
      Green0.4450.3240.3360.3240.315
      Red0.1370.3170.3590.3140.197
    • Table 8. Diffraction Efficiencies of the Metasurfaces

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      Table 8. Diffraction Efficiencies of the Metasurfaces

       MetalensCubicLog-AsphereShifted AxiconSQUBIC
      Blue80.1%57.7%38.2%44.1%24.9%
      Green84.0%58.5%34.9%42.0%18.4%
      Red75.6%74.2%38.2%40.0%38.4%
    • Table 9. Peak Signal-to-Noise Ratio (PSNR) in dB

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      Table 9. Peak Signal-to-Noise Ratio (PSNR) in dB

       MetalensCubicLog-AsphereShifted AxiconSQUBIC
      Blue9.715.715.415.916.5
      Green12.814.114.514.513.5
      Red13.113.113.913.813.1
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    Luocheng Huang, James Whitehead, Shane Colburn, Arka Majumdar, "Design and analysis of extended depth of focus metalenses for achromatic computational imaging," Photonics Res. 8, 1613 (2020)

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    Paper Information

    Category: Imaging Systems, Microscopy, and Displays

    Received: May. 5, 2020

    Accepted: Aug. 17, 2020

    Published Online: Sep. 27, 2020

    The Author Email: Arka Majumdar (arka@uw.edu)

    DOI:10.1364/PRJ.396839

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