Optics and Precision Engineering, Volume. 31, Issue 14, 2019(2023)

Optical design of the off-axis reflective system with wide fov

Yaqiong YU1...2, Lingjie WANG1,*, Shangnan ZHAO1,2, Jianping ZHANG1, and Xin ZHANG12 |Show fewer author(s)
Author Affiliations
  • 1Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences, Changchun 30033,China
  • 2University of Chinese Academy of Sciences,Beijing 100049,China
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    Figures & Tables(20)
    Schematic diagram of full field display evaluation method
    Vector display of the coefficient of Zernike term
    wavefront diagram of fringe Zernike polynomial
    Flow diagram of design method based on decomposition of freeform surface
    Schematic diagram of a conceptual optical system
    Structural constraints diagram
    Surface constraints diagram
    Optical path diagram of optical system
    Aspheric depatures from best-fitting sphere of M1
    Freeform depatures from the best- fitting sphere of M2-M4
    Gradient of the freeform depature of M2-M4
    RMS wavefront error of optical system
    Full-field wavefront polynomial coefficient vector display of optical system
    Modulation transfer function curve of optical system
    Optical system grid distortion
    • Table 1. Expression of fringe Zernike polynomial

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      Table 1. Expression of fringe Zernike polynomial

      条纹Zernike项拟合系数多项式表达式像差类型
      Z5C5R2cos2θ初阶像散(0°或90°方向)
      Z6C6R2sin2θ初阶像散(±45°方向)
      Z7C7(3R3-2R)cosθ初阶彗差(x方向)
      Z8C8(3R3-2R)sinθ初阶彗差(y方向)
      Z9C96R4-6R2+1初阶球差
      Z10C10R3cos3θ初阶三叶草像差(x方向)
      Z11C11R3sin3θ初阶三叶草像差(y方向)
      Z12C12(4R4-3R2)cos2θ二阶像散(0°或90°方向)
      Z13C13(4R4-3R2)sin2θ二阶像散(±45°方向)
      Z14C14(10R5-12R3+3R)cosθ二阶彗差(x方向)
      Z15C15(10R5-12R3+3R)sinθ二阶彗差(y方向)
      Z17C17R4cos4θ初阶四叶草像差(x方向)
      Z18C18R4sin4θ初阶四叶草像差(y方向)
    • Table 2. Specifications of optical system

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      Table 2. Specifications of optical system

      参数数值
      波段/nm400~750
      焦距/mm1000
      相对孔径1/10
      视场角/(°)40×16
      探测器像元尺寸/μm10
      畸变18%
    • Table 3. Structural parameters of optical system

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      Table 3. Structural parameters of optical system

      表面名称M1M2M3M4像面
      子曲面1子曲面2子像面1子像面2
      表面类型非球面

      标准Zernike

      自由曲面

      标准Zernike

      自由曲面

      标准Zernike

      自由曲面

      曲率半径/mm2 062.922 072.232 637.854 034.443 563.98
      间隔/mm-1 231.79808.20-808.201 423.521 428.40
      圆锥常数-1.948-1.609-0.544-14.920-22.475
      倾斜/(°)-8.250-7.680-9.280-3.254-9.330-14.690-14.608
      偏心/mm-38.769-78.408322.608-65.818165.329
    • Table 4. Aspheric term coefficients of M1

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      Table 4. Aspheric term coefficients of M1

      4阶非球面系数6阶非球面系数8阶非球面系数
      M1子曲面12.36×10-11-2.37×10-18-3.45×10-24
      M1子曲面22.13×10-11-6.49×10-18-1.11×10-24
    • Table 5. Standard Zernike term coefficients of M2-M4

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      Table 5. Standard Zernike term coefficients of M2-M4

      A4A5A9A10A11A12
      M23.361-2.561-4.104-1.737-2.134×10-1-4.465×10-1
      M3-9.017×10-2-1.279×10-1-6.180×10-3-1.697×10-31.626×10-5-8.837×10-5
      M4-5.8333.877×10-1-1.393-5.535×10-1-3.903×10-2-7.145×10-2
      A13A19A20A21A22A23
      M2-1.782×10-15.861×10-2-2.152×10-1-3.941×10-11.215×10-13.464×10-2
      M3-8.294×10-61.886×10-61.407×10-51.064×10-5
      M42.457×10-1-2.513×10-2-2.609×10-22.612×10-26.035×10-3-2.638×10-3
      A24A25A33A34
      M2-4.616×10-24.967×10-23.045×10-23.950×10-3
      M3-2.498×10-6
      M44.843×10-3-3.888×10-21.770×10-3-1.005×10-3
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    Yaqiong YU, Lingjie WANG, Shangnan ZHAO, Jianping ZHANG, Xin ZHANG. Optical design of the off-axis reflective system with wide fov[J]. Optics and Precision Engineering, 2023, 31(14): 2019

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    Paper Information

    Category: Modern Applied Optics

    Received: Feb. 6, 2023

    Accepted: --

    Published Online: Aug. 2, 2023

    The Author Email: WANG Lingjie (wanglingjie@126.com)

    DOI:10.37188/OPE.20233114.2019

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