Infrared and Laser Engineering, Volume. 51, Issue 9, 20220497(2022)

Virtual-real combination interferometry for aspheric surface parameter error measurement with cat-eye-wavefront positioning (invited)

Yao Hu, Xin Tao, and Qun Hao
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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    Figures & Tables(13)
    Virtual-Real partial compensation interferometry system based on cat-eye-wavefront positioning. PC: partial compensator; SUT: surface under test; CL: convergent lens
    Schematic of cat-eye-wavefront positioning
    Aspheric surface parameter errors measurement system
    Residual wavefront and deviation. (a) Real compensation wavefront; (b) Initial virtual compensation wavefront; (c) Deviation between the real and initial virtual compensation wavefront; (d) Rotationally symmetric component of the deviation
    Deviation of cat’s-eye wavefront with the position
    Iteration results of parameter error calculation
    Residual error in virtual-real combination interferometer. (a) real compensation wavefront; (b) optimized virtual compensation wavefront; (c) deviation between the real and optimized virtual compensation wavefront; (d) rotationally symmetric component of the deviation
    Error analysis
    • Table 1. Nominal parameters of SUT

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      Table 1. Nominal parameters of SUT

      ParameterR/mm KA4
      Designed value35.8256−0.62911.4398×10−7
    • Table 2. Designed parameters of PC

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      Table 2. Designed parameters of PC

      Surface123
      Radius/mm58.86−41.54−1074.58
      Thickness/mm15.320
      Aperture/mm4650.8
      GlassZF4ZF7
    • Table 3. Parameters of CL

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      Table 3. Parameters of CL

      Surface123
      Radius/mm92.233−66.841−196.175
      Thickness/mm42.5
      Aperture/mm25.425.4
      GlassH-K9LH-ZF2
    • Table 4. Measured result of compensation distances

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      Table 4. Measured result of compensation distances

      No.l/mm dr/mm
      145.166616.1898
      245.168816.1904
      345.171416.1910
      445.163916.1892
      545.162616.1888
      645.162216.1887
      745.158816.1879
      845.154516.1868
      945.156816.1874
      1045.160416.1883
    • Table 5. Calculated result of aspheric surface parameters

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      Table 5. Calculated result of aspheric surface parameters

      ParameterR/mm KA4
      Real value by UA3P35.7569−0.6291−4.741×10−7
      Proposed method35.7482−0.6286−4.883×10−7
      Error−0.00830.0005−1.42×10−8
      Relative error2.321‱7.948‱2.995%
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    Yao Hu, Xin Tao, Qun Hao. Virtual-real combination interferometry for aspheric surface parameter error measurement with cat-eye-wavefront positioning (invited)[J]. Infrared and Laser Engineering, 2022, 51(9): 20220497

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    Paper Information

    Category: Special issue—Ultra precision manufacture and testing technology of optical aspheric surface

    Received: Jul. 20, 2022

    Accepted: --

    Published Online: Jan. 6, 2023

    The Author Email:

    DOI:10.3788/IRLA20220497

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