Laser & Optoelectronics Progress, Volume. 57, Issue 9, 092202(2020)

Design of Off-Axis Three-Mirror Optical System Based on Free-Form Surface

Junyang Li1,2、*, Wenqiang Li2、**, You Long2, Liang Zhou2, and Yang Gao2
Author Affiliations
  • 1Science and Technology on Electro-Optic Control Laboratory, Luoyang, Henan 471000, China
  • 2Luoyang Institute of Electro-Optical Equipment, AVIC, Luoyang, Henan 471000, China
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    Figures & Tables(17)
    Structure of coaxial tri-reflection optical system
    Optical system structure
    Optical structural diagram of non-central obscure design
    Optical system without considering central obscuration. (a) Initial structural diagram; (b) modulation transfer function
    Optical structure and image quality evaluation function diagram of small off-axis optical system based on the first type of method. (a) Optical system structure diagram; (b) modulation transfer function; (c) root mean square spot
    Optical system without considering Seidel aberration. (a) Initial structural diagram; (b) modulation transfer function
    Optical structure and image quality evaluation function diagram of small off-axis optical system based on the second type of method. (a) Optical system structure diagram; (b) modulation transfer function; (c) root mean square spot
    Compact optical system structure and image quality evaluation function diagram based on the first type of method. (a) Optical system structure diagram; (b) modulation transfer function; (c) root mean square spot
    Optical system without considering Seidel aberration. (a) Initial structural diagram; (b) modulation transfer function
    Compact optical system structure and image quality evaluation function diagram based on the second type of method. (a) Optical system structure diagram; (b) modulation transfer function; (c) root mean square spot
    • Table 1. Effects of contour parameters without intermediate imaging on optical system

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      Table 1. Effects of contour parameters without intermediate imaging on optical system

      Systemstructureα1α2β1β2
      -、+、-(0,1)(0,1)(-¥,-1)(-1,0)
      -、+、-(0,1)(1,+¥)(0,+¥)(0,+¥)
      +、-、-(1,+¥)(1,+¥)(-¥,-1)(0,+¥)
      +、-、-(1,+¥)(0,1)(0,+¥)(-1,0)
    • Table 2. Effects of contour parameters with intermediate imaging on optical system

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      Table 2. Effects of contour parameters with intermediate imaging on optical system

      Systemstructureα1α2β1β2
      -、+、-(-¥,0)(1,+¥)(-1,0)(0,+¥)
      -、+、-(0,1)(-¥,0)(-¥,-1)(0,+¥)
      +、-、-(1,+¥)(-¥,-1)(0,+¥)(0,+¥)
    • Table 3. Structure parameters of small off-axis optical system based on the first type of method

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      Table 3. Structure parameters of small off-axis optical system based on the first type of method

      SurfaceSurface typeRadius /mmThickness /mm
      1Zernike-402.38-100.48
      2Zernike-160.94-100.48
      3Conic-191.77-132.10
    • Table 4. Structure parameters of small off-axis optical system based on the second type of method

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      Table 4. Structure parameters of small off-axis optical system based on the second type of method

      SurfaceSurface typeRadius /mmThickness /mm
      1Zernike-474.48-150.18
      2Zernike-212.10-150.18
      3Conic-285.56-172.69
    • Table 5. Compact optical system structure parameters based on the first type of method

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      Table 5. Compact optical system structure parameters based on the first type of method

      SurfaceSurface typeRadius /mmThickness /mm
      1Zernike-3902.92-181.04
      2Conic863.70122.77
      3Zernike-575.58-135.04
    • Table 6. Compact optical system structure parameters based on the second type of method

      View table

      Table 6. Compact optical system structure parameters based on the second type of method

      SurfaceSurface typeRadius /mmThickness /mm
      1Zernike-2045.95-132.27
      2Conic1640.29-132.27
      3Zernike-693.11-204.65
    • Table 7. Optical system image quality evaluation function

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      Table 7. Optical system image quality evaluation function

      ParameterSmall off-axisangleCompact opticalsystem
      Class IClass IIClass IClass II
      MaximumRMS /μm6.5056.20014.83813.032
      20 lp/mm MTF>0.85>0.86>0.78>0.81
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    Junyang Li, Wenqiang Li, You Long, Liang Zhou, Yang Gao. Design of Off-Axis Three-Mirror Optical System Based on Free-Form Surface[J]. Laser & Optoelectronics Progress, 2020, 57(9): 092202

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Aug. 5, 2019

    Accepted: Sep. 26, 2019

    Published Online: May. 6, 2020

    The Author Email: Li Junyang (1281636092@qq.com), Li Wenqiang (469406116@qq.com)

    DOI:10.3788/LOP57.092202

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