Acta Photonica Sinica, Volume. 48, Issue 12, 1212004(2019)

Nonlinear Optimization Method for Reconstruction of the Off-axis Aspherical Surface by Profile Measurement

Wei-zheng LEI1...1,2,2,3,3, Lü-jun YUAN1,1,2,2,*, Yan KANG1,1,2,2, and Zhi-de SU1,1,22 |Show fewer author(s)
Author Affiliations
  • 1Nanjing Institute of Astronomical Optics & Technology, National Astronomical Observatories, Chinese Academy of Sciences, Nanjing 210042, China
  • 2CAS Key Laboratory of Astronomical Optics & Technology, Nanjing Institute of Astronomical Optics & Technology, Nanjing 210042, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
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    Figures & Tables(9)
    Top view of position relationship between central aspheric and off-axis aspheric
    Two relationship between center aspheric coordinate and off-axis aspheric coordinate
    测量坐标系XYZ与离轴非球面坐标系XSYSZS的偏转关系Coordinate deflection between real measuring coordinate XYZ and off-axis coordinate XSYSZS
    仿真理想椭球面和镜面残余误差以及恢复面形Simulating ideal aspherical surface and its residual and reconstructed surface residual
    Surface error of the 570 mm off-axis-elliptic mirror
    Surface error of the 570 mm off-axis-elliptic mirror after several times grinding
    220 mm×96 mm rectangle-shaped off-axis ellipsoidal mirror and side structure sketch
    Surface error of the 220 mm×96 mm rectangle-shaped off-axis mirror
    • Table 1. Optimization result with errors

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      Table 1. Optimization result with errors

      Initial valueOptimal value
      δx32.935 12.963 42.946 8
      δy-1-1.556 2-0.635 9-1.260 8
      α-0.4-0.577 8-0.470 9-0.566 9
      β32.995 52.997 42.995 1
      γ-0.2-0.227 2-0.209 5-0.134 3
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    Wei-zheng LEI, Lü-jun YUAN, Yan KANG, Zhi-de SU. Nonlinear Optimization Method for Reconstruction of the Off-axis Aspherical Surface by Profile Measurement[J]. Acta Photonica Sinica, 2019, 48(12): 1212004

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    Paper Information

    Received: Jun. 28, 2019

    Accepted: Sep. 4, 2019

    Published Online: Mar. 17, 2020

    The Author Email: YUAN Lü-jun (ljyuan@niaot.ac.cn)

    DOI:10.3788/gzxb20194812.1212004

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