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Acta Optica Sinica, Volume. 40, Issue 8, 0808001(2020)

Design of Off-Axis Reflective Optical System with Large Field-of-View Based on Freeform Surfaces

Chao Cao1,2, Sheng Liao1, Zhiyuan Liao1、*, Yu Bai1, Bingxu Chen1,3, and Zhenjie Fan1
Author Affiliations
  • 1Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3School of Opto-Electronic Engineering, Changchun University Of Science and Technology, Changchun, Jilin 130022, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (13)
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    References (21)
    Cited By (14)
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    Figures & Tables(13)
    Paraxial ray-tracing model

    Fig. 1. Paraxial ray-tracing model

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    Real ray-tracing model

    Fig. 2. Real ray-tracing model

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    Principle of ray sampling. (a) Field point sampling; (b) pupil point sampling

    Fig. 3. Principle of ray sampling. (a) Field point sampling; (b) pupil point sampling

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    Schematic of ideal normal calculation

    Fig. 4. Schematic of ideal normal calculation

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    Design flow of freeform off-axis reflective optical system with large field-of-view

    Fig. 5. Design flow of freeform off-axis reflective optical system with large field-of-view

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    Convergence curve of performance evaluation function

    Fig. 6. Convergence curve of performance evaluation function

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    Performance of initial system with conic surfaces. (a) Optical layout; (b) RMS spot diameter; (c) astigmatism; (d) coma

    Fig. 7. Performance of initial system with conic surfaces. (a) Optical layout; (b) RMS spot diameter; (c) astigmatism; (d) coma

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    Optical layout of initial systems at different stages. (a) Initial system with conic surfaces; (b) initial system with one freeform surface; (c) initial system with two freeform surfaces; (d) initial system with three freeform surfaces; (e) freeform initial system after iteration

    Fig. 8. Optical layout of initial systems at different stages. (a) Initial system with conic surfaces; (b) initial system with one freeform surface; (c) initial system with two freeform surfaces; (d) initial system with three freeform surfaces; (e) freeform initial system after iteration

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    Performance of freeform initial system. (a) RMS spot diameter; (b) distortion grid

    Fig. 9. Performance of freeform initial system. (a) RMS spot diameter; (b) distortion grid

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    Performance of designed freeform off-axis three-mirror system with large field-of-view. (a) Optical layout; (b) RMS spot diameter; (c) RMS wavefront error; (d) distortion grid; (e) MTFs

    Fig. 10. Performance of designed freeform off-axis three-mirror system with large field-of-view. (a) Optical layout; (b) RMS spot diameter; (c) RMS wavefront error; (d) distortion grid; (e) MTFs

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    • Table 1. System specifications

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      Table 1. System specifications

      ParameterSpecification
      Wavelength range8--12 μm
      Focal length200 mm
      F-number2
      Field of view30°×3°
      Pixel size30 μm

    • Table 2. Range of configuration parameters and optimization results

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      Table 2. Range of configuration parameters and optimization results

      ParameterRangeResult
      d1 /mm[-250, -150]-153.5396
      d2 /mm[150, 250]150.0030
      r1 /mm[-700, -50]-684.7247
      r2 /mm[-600, -50]-186.5801
      r3 /mm[-600, -50]-250.3525
      k1[-10, 10]-1.5062
      k2[-10, 10]1.4190
      k2[-10, 10]0.2719
      α1 /(°)[20, 30]20.1834
      α2 /(°)[-35, -20]-24.4260
      α3 /(°)[10, 20]10.4194

    • Table 3. Polynomial coefficients of three freeform surfaces

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      Table 3. Polynomial coefficients of three freeform surfaces

      ItemPrimary mirrorSecond mirrorTertiary mirror
      y-5.1137×10-2-5.4110×10-2-3.6189×10-2
      x25.2745×10-53.7460×10-45.5739×10-4
      y2-1.8617×10-5-2.7492×10-44.3028×10-4
      x2y2.8671×10-7-4.0055×10-7-6.0778×10-8
      y33.9537×10-71.2279×10-61.1036×10-7
      x4-1.3673×10-91.7385×10-82.5519×10-9
      x2y2-3.1399×10-91.3595×10-83.7733×10-9
      y4-1.7176×10-9-6.1106×10-91.0958×10-9
      x4y1.4517×10-12-8.5103×10-117.3138×10-13
      x2y3-1.5300×10-12-1.1303×10-102.6900×10-12
      y5-3.1858×10-13-1.5388×10-112.1149×10-12
      x65.6636×10-1502.3129×10-14
      x4y22.1556×10-1403.0424×10-14
      x2y42.0234×10-140-2.4011×10-14
      y67.1070×10-1501.9419×10-14
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    Chao Cao, Sheng Liao, Zhiyuan Liao, Yu Bai, Bingxu Chen, Zhenjie Fan. Design of Off-Axis Reflective Optical System with Large Field-of-View Based on Freeform Surfaces[J]. Acta Optica Sinica, 2020, 40(8): 0808001

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    Paper Information

    Category: Geometric Optics

    Received: Dec. 12, 2019

    Accepted: Dec. 31, 2019

    Published Online: Apr. 13, 2020

    The Author Email: Liao Zhiyuan (liaozhiyuan1@163.com)

    DOI:10.3788/AOS202040.0808001

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology