Acta Optica Sinica, Volume. 43, Issue 8, 0822021(2023)

Design of Freeform Off-Axis Three-Mirror System Enabling Multisurface-Integrated Fabrication

Lijun Zhou1,2, Tong Yang1,2、*, Lina Gao1,2, Dewen Cheng1,2, and Yongtian Wang1,2
Author Affiliations
  • 1School of Optics and Photonics, Beijing Institute of Technology, Beijing 100081, China
  • 2Beijing Engineering Research Center of Mixed Reality and Advanced Display, Beijing 100081, China
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    Figures & Tables(11)
    Design process of unobscured off-axis initial structure. (a) Spherical coaxial structure. (b)(c) process of eliminating obscuration by surface tilt deviation; (d) unobscured off-axis initial structure
    System for ideal point-to-point imaging in single field of view based on confocal quadric surface
    Structure of cylindrical package off-axis three-mirror system using confocal off-axis quadric surface
    Sketch of cylindrical package freeform off-axis three-mirror system in meridian plane
    Final system structure after optimization. (a) Two-dimensional plot of final system structure; (b) three-dimensional plot of final system structure
    Image quality of final system. (a) Field map of RMS wavefront error; (b) distortion grid; (c) field map of MTF in x direction at spatial frequency of 33 lp/mm; (d) field map of MTF in y direction at spatial frequency of 33 lp/mm
    Footprint plots of typical field points at virtual plane of M1 front object space
    Tolerance analysis result of 2000-round Monte Carlo analysis. (a) Cumulative probability curve of MTF at spatial frequency of 33 lp/mm in x direction; (b) cumulative probability curve of MTF at spatial frequency of 33 lp/mm in y direction
    • Table 1. System parameters

      View table

      Table 1. System parameters

      ParameterValue
      Field of view /(°)×(°)1.6×1.6
      Wavelength /μm3-5
      Focal length /mm240
      F-number of cooled detector3
    • Table 2. Equivalent entrance pupil diameters of typical field points

      View table

      Table 2. Equivalent entrance pupil diameters of typical field points

      Field point(0°,0°)(0°,0.8°)(0°,-0.8°)(0.8°,0°)(0.8°,0.8°)(0.8°,-0.8°)
      Equivalent entrance pupil diameter /mm78.678.478.078.177.677.5
    • Table 3. Tolerance distribution

      View table

      Table 3. Tolerance distribution

      ComponentMaximum allowable RMS figureSurface decenter /mmSurface tilt /(″)
      error /nmDLXDLYDLZDLADLBDLG
      M150±0.02±0.02±0.02±60±60±180
      M225±0.02±0.02±0.02±60±60±180
      M350±0.02±0.02±0.02±60±60±180
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    Lijun Zhou, Tong Yang, Lina Gao, Dewen Cheng, Yongtian Wang. Design of Freeform Off-Axis Three-Mirror System Enabling Multisurface-Integrated Fabrication[J]. Acta Optica Sinica, 2023, 43(8): 0822021

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    Paper Information

    Category: Optical Design and Fabrication

    Received: Oct. 31, 2022

    Accepted: Nov. 25, 2022

    Published Online: Apr. 6, 2023

    The Author Email: Yang Tong (yangtong@bit.edu.cn)

    DOI:10.3788/AOS221895

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