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    Journals >Acta Optica Sinica >Volume 40 >Issue 8 >Page 0808001 > Article
    • Acta Optica Sinica
    • Vol. 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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    DOI: 10.3788/AOS202040.0808001 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    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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    ParameterSpecification
    Wavelength range8--12 μm
    Focal length200 mm
    F-number2
    Field of view30°×3°
    Pixel size30 μm
    Table 1. System specifications
    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 2. Range of configuration parameters and optimization results
    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
    Table 3. Polynomial coefficients of three freeform surfaces
    Abstract
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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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