Acta Photonica Sinica, Volume. 52, Issue 2, 0212004(2023)

F/0.78 High Order Aspheric Surface Testing with Null Compensator and Mapping Distortion Correction

Sanfeng HAO1...2, Jian ZHANG1,3,* and Jianfeng YANG1 |Show fewer author(s)
Author Affiliations
  • 1Xi'an Institute of Optics and Precision Mechanics,Chinese Academy of Science,Xi'an 710119,China
  • 2University of Chinese Academy of Sciences,Beijing 100049,China
  • 3Xidian University,School of Mechano-electronic Engineering,Xi'an 710071,China
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    Figures & Tables(15)
    Plot of the asphericity and asphericity slope
    High order aspheric surface testing with three-piece lens null compensator
    The interactive interface of initial structural parameters calculation program
    Optical layout with initial structure parameters
    The final design results of three-piece lens compensator
    High-order aspheric surfaces testing with three-piece lens compensator
    High-order aspheric surface imaging with null lens compensator
    Schematic diagram of distortion principle
    Mapping distortion correction of interferometeric map
    Optical deterministic polishing based on distortion correction map
    • Table 1. Parameters of high-order aspheric surface

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      Table 1. Parameters of high-order aspheric surface

      ParametersValue
      Vertex curvature radius R/mm-491.14
      Conic constant K1.43
      4th coefficient A49.09×10-10
      6th coefficient A64.73×10-15
      8th coefficient A88.46×10-20
    • Table 2. Structure data of null lens compensator

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      Table 2. Structure data of null lens compensator

      Surface No.Radius/mmThickness/mmMaterialSemi-diameters/mmFocal length/mm
      0Infinity59.89
      116.2255.65HK9L9.08-272.70
      212.82375.528.28
      3-106.668.16HK9L26.07-448.74
      4-203.20.5428.47
      558.089.00HK9L32.40-7450.73
      654.20396.1831.93
    • Table 3. Tolerances and error budget for null lens compensator

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      Table 3. Tolerances and error budget for null lens compensator

      ParameterUnitsDesign valueToleranceWavefront(RMS@632.8 nm)

      Reference surface irregularity

      of interferometer(RMS)

      λ0.0090.009
      Airspacemm59.890.013.92×10-7
      Lens 1:
      Radius 1Fringe16.22512.24×10-6
      Thicknessmm5.650.014.37×10-6
      Radius 2Fringe12.82312.97×10-6
      Surface 1 irregularity(RMS)λ1/801.29×10-2
      Surface 2 irregularity(RMS)λ1/801.29×10-2
      Index of refraction1.516 850.000 16.31×10-7
      Index inhomogeneity2×10-63×10-3
      Airspace 1mm75.520.017.22×10-7
      Lens 2:
      Radius 1Fringe-106.6611.43×10-6
      Thicknessmm8.160.012.31×10-7
      Radius 2Fringe-203.211.27×10-6
      Surface 1 irregularity(RMS)λ1/801.29×10-2
      Surface 2 irregularity(RMS)λ1/801.29×10-2
      Index of refraction1.516 850.000 11.3×10-6
      Index inhomogeneity2×10-64.5×10-3
      Airspace 2mm0.540.011.75×10-6
      Lens 3:
      Radius 1Fringe58.0812.83×10-8
      Thicknessmm90.013.69×10-6
      Radius 2Fringe54.213.44×10-7
      Surface 1 irregularity(RMS)λ1/801.29×10-2
      Surface 2 irregularity(RMS)λ1/801.29×10-2
      Index of refraction1.516 850.000 13.4×10-7
      Index inhomogeneity2×10-65×10-3
      Airspace 3mm396.180.028.44×10-8
      Residual Wavefrontλ0.001 2
      RSS0.017
    • Table 4. Tolerances of null lens compensator

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      Table 4. Tolerances of null lens compensator

      ParametersTolerance
      Radius of curvature/ Fringe±1
      Surface irregularity(RMS)/λ1/80
      Lens thickness/mm±0.01
      Airspace/mm±0.01
      Index of refraction±0.000 1
      Index inhomogeneity2×10-6
      Decenter/mm±0.01
      Tilt/(°)±0.005
    • Table 5. Parameters of ZYGO transmission spheres for testing surface irregularity of null lens compensator

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      Table 5. Parameters of ZYGO transmission spheres for testing surface irregularity of null lens compensator

      Surface No.Radius/mmF numberClear aperture diameter/mm
      116.2250.7564.0
      212.8230.7564.0
      3-106.661.582.0
      4-203.23.391.0
      558.081.582.0
      654.200.7564.0
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    Sanfeng HAO, Jian ZHANG, Jianfeng YANG. F/0.78 High Order Aspheric Surface Testing with Null Compensator and Mapping Distortion Correction[J]. Acta Photonica Sinica, 2023, 52(2): 0212004

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Sep. 16, 2022

    Accepted: Sep. 28, 2022

    Published Online: Mar. 28, 2023

    The Author Email: ZHANG Jian (zj@opt.ac.cn)

    DOI:10.3788/gzxb20235202.0212004

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