• Acta Optica Sinica
  • Vol. 43, Issue 15, 1522003 (2023)
Qun Hao*, Yiming Liu, Yao Hu**, Yan Ning, Zichen Wang, Chuheng Xu, Xinyu Dong, and Yuanheng Liu
Author Affiliations
  • Beijing Key Laboratory for Precision Optoelectronic Measurement Instrument and Technology, School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China
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    DOI: 10.3788/AOS230962 Cite this Article Set citation alerts
    Qun Hao, Yiming Liu, Yao Hu, Yan Ning, Zichen Wang, Chuheng Xu, Xinyu Dong, Yuanheng Liu. Interferometric Measurement of Optical Aspheric Surface Form Error and Parameter Error[J]. Acta Optica Sinica, 2023, 43(15): 1522003 Copy Citation Text show less
    Lightpath of Fizeau interferometer utilizing a CGH[17]
    Fig. 1. Lightpath of Fizeau interferometer utilizing a CGH[17]
    Principle diagram of tilted-wave interferometer[28]
    Fig. 2. Principle diagram of tilted-wave interferometer[28]
    Principle of partial compensation method[35]
    Fig. 3. Principle of partial compensation method[35]
    Principle of digital Moiré interferometric system
    Fig. 4. Principle of digital Moiré interferometric system
    Real interferometer lightpath and constructed virtual interferometer in different systems
    Fig. 5. Real interferometer lightpath and constructed virtual interferometer in different systems
    Null interferometric measurement of a quadratic aspheric surface parameters with a laser tracker[52]
    Fig. 6. Null interferometric measurement of a quadratic aspheric surface parameters with a laser tracker[52]
    Measurement of curvature radius of vertex based on partial compensation interferometry[53]
    Fig. 7. Measurement of curvature radius of vertex based on partial compensation interferometry[53]
    Principle diagram of aspheric parameter error measurement based on aberration analysis of optimal compensation position
    Fig. 8. Principle diagram of aspheric parameter error measurement based on aberration analysis of optimal compensation position
    MethodTypeAdvantageDisadvantageConvexConcave
    Null testNo-aberration pointHigh accuracyOnly for quadratic surface
    CompensatorHigh accuracy

    Low versatility

    Limited compensating ability

    CGHHigh accuracy

    Low versatility

    High cost

    Non-null testSub-aperture stitching interferometryHigh versatilityTime-consuming
    Sub-Nyquist interferometryHigh versatilityRequire prior knowledge
    Two wavelength phase shifting interferometryHigh versatilityChromatism
    Shearing interferometryHigh versatility

    Information loss

    Complex algorithm

    Tilted-wave interferometry

    High versatility

    Efficient

    Retrace error
    Point diffraction interferometryHigh accuracyTime-consuming×
    Partial compensation interferometry

    High versatility

    Low cost

    Require distance measurement
    Table 1. Comparison of interferometric methods for aspheric surface form measurement
    MethodTypeRKA2iConvexConcave
    Null interferometry××
    Non-null interferometryAxial moving×××
    Best compensation position
    Table 2. Comparison of interferometric methods for aspheric surface parameter measurement
    Qun Hao, Yiming Liu, Yao Hu, Yan Ning, Zichen Wang, Chuheng Xu, Xinyu Dong, Yuanheng Liu. Interferometric Measurement of Optical Aspheric Surface Form Error and Parameter Error[J]. Acta Optica Sinica, 2023, 43(15): 1522003
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