• Acta Photonica Sinica
  • Vol. 51, Issue 12, 1211001 (2022)
Bin WANG1,2, Yichun DAI1, Fangyu XU1, and Zhenyu JIN1,*
Author Affiliations
  • 1Astronomical Technology Laboratory,Yunnan Observatory,Chinese Academy of Sciences,Kunming 650216,China
  • 2University of Chinese Academy of Sciences,Beijing 100049,China
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    DOI: 10.3788/gzxb20225112.1211001 Cite this Article
    Bin WANG, Yichun DAI, Fangyu XU, Zhenyu JIN. Experimental Research on Calibration of the Segmented Mirror Edge Sensors Based on Point Spread Function[J]. Acta Photonica Sinica, 2022, 51(12): 1211001 Copy Citation Text show less
    Schematic of the circular aperture at the edge of the segmented mirror
    Fig. 1. Schematic of the circular aperture at the edge of the segmented mirror
    Theoretical diffraction pattern with piston error changing from -λ/4 to λ/4
    Fig. 2. Theoretical diffraction pattern with piston error changing from -λ/4 to λ/4
    Cross-correlation curve of diffraction spot with piston of 0.11λ and template pattern
    Fig. 3. Cross-correlation curve of diffraction spot with piston of 0.11λ and template pattern
    The aperture of the micro-lens deviates from the center of the segment edge in the X direction
    Fig. 4. The aperture of the micro-lens deviates from the center of the segment edge in the X direction
    Different alignment errors lead to piston error
    Fig. 5. Different alignment errors lead to piston error
    Cross-correlation curves of PSF and template when tip,tilt errors are 0.1″
    Fig. 6. Cross-correlation curves of PSF and template when tip,tilt errors are 0.1″
    Optical detection scheme of the two-segmented mirror system
    Fig. 7. Optical detection scheme of the two-segmented mirror system
    Schematic diagram of the optical device arrangement of the two-segmented mirror system
    Fig. 8. Schematic diagram of the optical device arrangement of the two-segmented mirror system
    Piston generated by actuator displacement,piston measured by PSF cross-correlation detection method,and edge sensor readings
    Fig. 9. Piston generated by actuator displacement,piston measured by PSF cross-correlation detection method,and edge sensor readings
    The residuals of the measured values of the piston and PSF cross-correlation method and the measured values of the edge sensor generated by the displacement of the actuator
    Fig. 10. The residuals of the measured values of the piston and PSF cross-correlation method and the measured values of the edge sensor generated by the displacement of the actuator
    4D interferometer measurement results
    Fig. 11. 4D interferometer measurement results
    In closed-loop control,the change of the detected value of the PSF cross-correlation detection method and the change of the measured value of the edge sensor
    Fig. 12. In closed-loop control,the change of the detected value of the PSF cross-correlation detection method and the change of the measured value of the edge sensor
    ParameterSymbolValue
    Diameter of primary mirrorD/mm300.0
    Radius of curvatureR/mm2 000.0
    Sampling aperture sizeL×L/(mm×mm)2.2×2.2
    Focal length of micro-lens arrayf/mm209.0
    Focal length of collimator lensf1/mm125.0
    Pinhole diameterd/μm10.0
    Detector resolutionp×p/(pixel×pixel)2 048×2 048
    Table 1. Optical parameters of the two-segmented mirror system
    Actuator step sizeMean/nmRMS/nmPV/nm
    Step size of 5 nm0.262.177.94
    Step size of 10 nm-0.232.328.19
    Table 2. Statistics of the residuals of the measured values of the cross-correlation
    Actuator step sizeMean/nmRMS/nmPV/nm
    Step size of 5 nm-0.482.538.12
    Step size of 10 nm0.212.368.03
    Table 3. Statistics of residuals of actuator and edge sensor measurements
    Edge heightRMS/nmPV/nm
    P16.4137.53
    P26.2336.81
    P36.1736.12
    P46.3437.17
    P56.5138.51
    Table 4. RMS and PV values of five edge detections
    Bin WANG, Yichun DAI, Fangyu XU, Zhenyu JIN. Experimental Research on Calibration of the Segmented Mirror Edge Sensors Based on Point Spread Function[J]. Acta Photonica Sinica, 2022, 51(12): 1211001
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