• Acta Optica Sinica
  • Vol. 40, Issue 24, 2412002 (2020)
Yuqiang Chen, Xiaodong Zhang, and Xianlei Liu*
Author Affiliations
  • State Key Laboratory of Precision Measuring Technology & Instruments, Centre of Micro Nano Manufacturing Technology, Tianjin University, Tianjin 300072, China
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    DOI: 10.3788/AOS202040.2412002 Cite this Article Set citation alerts
    Yuqiang Chen, Xiaodong Zhang, Xianlei Liu. Evaluation of Optical Performance of Free-Form Surface Imaging System[J]. Acta Optica Sinica, 2020, 40(24): 2412002 Copy Citation Text show less
    Evaluation system of basic index of optical performance
    Fig. 1. Evaluation system of basic index of optical performance
    Flow chart of M-GS algorithm
    Fig. 2. Flow chart of M-GS algorithm
    Schematic diagram of measurement of M-GS algorithm
    Fig. 3. Schematic diagram of measurement of M-GS algorithm
    Schematic diagram of the optical path of plano-convex lens
    Fig. 4. Schematic diagram of the optical path of plano-convex lens
    Simulation results of ZEMAX. (a) WFE; (b) PSF; (c) MTF
    Fig. 5. Simulation results of ZEMAX. (a) WFE; (b) PSF; (c) MTF
    Comparison of computational results. (a) PSF; (b) enlarged view of PSF center; (c) tangential MTF; (d) sagittal MTF
    Fig. 6. Comparison of computational results. (a) PSF; (b) enlarged view of PSF center; (c) tangential MTF; (d) sagittal MTF
    Image spots obtained at different defocus distances. (a) 1000 μm; (b) -500 μm; (c) 0 μm; (d) 500 μm; (e) 1000 μm
    Fig. 7. Image spots obtained at different defocus distances. (a) 1000 μm; (b) -500 μm; (c) 0 μm; (d) 500 μm; (e) 1000 μm
    WFE obtained by different methods. (a) ZEMAX; (b) M-GS algorithm
    Fig. 8. WFE obtained by different methods. (a) ZEMAX; (b) M-GS algorithm
    Experiment configuration
    Fig. 9. Experiment configuration
    Actual image spots at different defocus distances. (a) -1000 μm; (b) -600 μm; (c) -200 μm; (d) 200.0 μm; (e) 600 μm; (f) 1000 μm
    Fig. 10. Actual image spots at different defocus distances. (a) -1000 μm; (b) -600 μm; (c) -200 μm; (d) 200.0 μm; (e) 600 μm; (f) 1000 μm
    WFE obtained by different methods. (a) Interferometer; (b) M-GS algorithm
    Fig. 11. WFE obtained by different methods. (a) Interferometer; (b) M-GS algorithm
    PSF measured by different methods. (a) Center profile in X direction; (b) center magnified view in X direction; (c) center profile in Y direction; (d) center magnified view in Y direction
    Fig. 12. PSF measured by different methods. (a) Center profile in X direction; (b) center magnified view in X direction; (c) center profile in Y direction; (d) center magnified view in Y direction
    MTF obtained by different methods. (a) X direction; (b) Y direction
    Fig. 13. MTF obtained by different methods. (a) X direction; (b) Y direction
    TypeRadius /mmThickness /mmMaterialSemi-diameter /mmZ4/λZ5/λZ8/λ
    Standard206.1002.380BK712.500///
    Zernike fringe phase(stop)399.040/12.5000.30.20.1
    Table 1. Simulation parameter of the plano-convex lens
    WFEPVRMS/λ
    ZEMAX0.74930.1341
    Calculated by our model0.74710.1337
    Table 2. WFE parameters obtained by different methods
    Experiment deviceMain parameter
    TRIOPTICS μPhase 1000Twyman-Green interferometerlens type: plano50, Dia:Φ50 mm,camera inside: 1024 pixel×1020 pixel, 8 bits,wavelength: 632.8 nm, uncertainty: λ/20,method: five step phase-shifting method
    KOHZU XA10A-R2 Stepper motorresolution: 1 μm, range: 2 5 mmstraightness: < 1 μm/25 mm
    Hikvision MV-CA030-10GM CCD Camerapixel size: 3.69 μm×3.69 μm, 1920 pixel×1080 pixelinterface: GigE, FPS: 25 frame
    Plano-convex lens under testdiameter: 34.000 mm, focal: 200 mm, material: N-BK7radius: 103.010 mm, thickness: 2.780 mm
    HengYang GCM-1123M three-degree of freedom rotational platformrange: ±4°, resolution: 2'
    Table 3. Main parameters of experiment devices
    WFEPV/λRMS/λ
    Interferometer0.19440.0240
    Calculated by our model0.19100.0458
    Table 4. WFE parameters obtained by different methods (actual spot)
    Yuqiang Chen, Xiaodong Zhang, Xianlei Liu. Evaluation of Optical Performance of Free-Form Surface Imaging System[J]. Acta Optica Sinica, 2020, 40(24): 2412002
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