Author Affiliations
State Key Laboratory of Precision Measuring Technology & Instruments, Centre of Micro Nano Manufacturing Technology, Tianjin University, Tianjin 300072, Chinashow less
Fig. 1. Evaluation system of basic index of optical performance
Fig. 2. Flow chart of M-GS algorithm
Fig. 3. Schematic diagram of measurement of M-GS algorithm
Fig. 4. Schematic diagram of the optical path of plano-convex lens
Fig. 5. Simulation results of ZEMAX. (a) WFE; (b) PSF; (c) MTF
Fig. 6. Comparison of computational results. (a) PSF; (b) enlarged view of PSF center; (c) tangential MTF; (d) sagittal MTF
Fig. 7. Image spots obtained at different defocus distances. (a) 1000 μm; (b) -500 μm; (c) 0 μm; (d) 500 μm; (e) 1000 μm
Fig. 8. WFE obtained by different methods. (a) ZEMAX; (b) M-GS algorithm
Fig. 9. Experiment configuration
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
Fig. 11. WFE obtained by different methods. (a) Interferometer; (b) M-GS algorithm
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
Fig. 13. MTF obtained by different methods. (a) X direction; (b) Y direction
Type | Radius /mm | Thickness /mm | Material | Semi-diameter /mm | Z4/λ | Z5/λ | Z8/λ |
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Standard | 206.100 | 2.380 | BK7 | 12.500 | / | / | / | Zernike fringe phase(stop) | ∞ | 399.040 | / | 12.500 | 0.3 | 0.2 | 0.1 |
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Table 1. Simulation parameter of the plano-convex lens
WFE | PV/λ | RMS/λ |
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ZEMAX | 0.7493 | 0.1341 | Calculated by our model | 0.7471 | 0.1337 |
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Table 2. WFE parameters obtained by different methods
Experiment device | Main parameter |
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TRIOPTICS μPhase 1000Twyman-Green interferometer | lens 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 motor | resolution: 1 μm, range: 2 5 mmstraightness: < 1 μm/25 mm | Hikvision MV-CA030-10GM CCD Camera | pixel size: 3.69 μm×3.69 μm, 1920 pixel×1080 pixelinterface: GigE, FPS: 25 frame | Plano-convex lens under test | diameter: 34.000 mm, focal: 200 mm, material: N-BK7radius: 103.010 mm, thickness: 2.780 mm | HengYang GCM-1123M three-degree of freedom rotational platform | range: ±4°, resolution: 2' |
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Table 3. Main parameters of experiment devices
WFE | PV/λ | RMS/λ |
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Interferometer | 0.1944 | 0.0240 | Calculated by our model | 0.1910 | 0.0458 |
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Table 4. WFE parameters obtained by different methods (actual spot)