• Acta Photonica Sinica
  • Vol. 48, Issue 12, 1212004 (2019)
Wei-zheng LEI1、1、2、2、3、3, Lü-jun YUAN1、1、2、2、*, Yan KANG1、1、2、2, and Zhi-de SU1、1、2、2
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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    DOI: 10.3788/gzxb20194812.1212004 Cite this Article
    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 Copy Citation Text show less
    Top view of position relationship between central aspheric and off-axis aspheric
    Fig. 1. Top view of position relationship between central aspheric and off-axis aspheric
    Two relationship between center aspheric coordinate and off-axis aspheric coordinate
    Fig. 2. 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
    Fig. 3. 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
    Fig. 4. 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
    Fig. 5. Surface error of the 570 mm off-axis-elliptic mirror
    Surface error of the 570 mm off-axis-elliptic mirror after several times grinding
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. Surface error of the 220 mm×96 mm rectangle-shaped off-axis mirror
    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
    Table 1. Optimization result with errors
    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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