Chinese Optics, Volume. 16, Issue 1, 158(2023)

Design of compound eye optical system with hexagonal band arrangement and common optical path

Chen FAN, Jun LIU*, Ming GAO, and Hong LV
Author Affiliations
  • School of Optoelectronic Engineering, Xi’an Technological University, Xi’an 710021, China
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    Figures & Tables(35)
    Hexagonal band arrangement model diagram
    Schematic diagram of main array direction sub aperture projection
    Sub aperture projection contrast of two arrangement models
    A sub aperture layout section view of a main array
    Compound eye coordinate system model diagram复眼坐标系模型图
    Schematic diagram of sub aperture plane angle
    Schematic diagram of sub aperture optical path structure
    MTF of sub aperture system
    RMS wavefront view of a sub aperture system
    2D model diagram of sub-apertures arranged in the plane direction of the main array
    3D model of 4-layer sub-aperture array
    Relay system optical path diagram
    MTF of relay system
    RMS wavefront view of a relay system
    MTF of sub aperture system at different bands at high and low temperatures
    MTF of relay system at different bands at high and low temperatures
    Reverse tracing diagram of reflected light on part surface of relay system
    NITD contributions of optical surfaces of relay system
    Imaging optical path diagram of the main array direction of the compound eye optical system
    Overall imaging optical path diagram of compound eye optical system
    MTF and spot diagram of central imaging sub channel
    MTF and spot diagram of margin imaging sub channel
    Field curve and distortion plot of the margin sub channel of the compound eye system
    RMS field of view wavefront diagram of center and edge sub-channels of compound eye combined system
    Results of 300 Monte Carlo tolerance analysis for compound eye system
    • Table 1. Relationship between overlapping angle of adjacent sub aperture and FOV of sub aperture

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      Table 1. Relationship between overlapping angle of adjacent sub aperture and FOV of sub aperture

      Angle relationshipConclusion
      β=0° The edge rays of adjacent sub-apertures are parallel, and there is a blind spot in the field of view at the object plane at finite distance
      0°<β<ωAdjacent sub-aperture edge rays intersect
      β=ωSub-aperture edge rays are parallel to adjacent sub-aperture optical axes
      β>ωAlternate sub-aperture edge rays overlap far away, and the intermediate sub-aperture field of view is meaningless
    • Table 2. Basic parameters of bionic compound eye optical system

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      Table 2. Basic parameters of bionic compound eye optical system

      TypeThe parameter value
      Main array direction FOV 2θ/(°)96
      sub-aperture FOV 2ω/(°) 9.0
      The angle between the optical axes of adjacent sub-apertures Δφ/(°) 8.7
      Base radius R/mm 111
      Number of sub-apertures n91
      Number of sub-aperture array layers S6
    • Table 3. Overall design index of compound eye system with hexagonal ring band

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      Table 3. Overall design index of compound eye system with hexagonal ring band

      TypeThe parameter value
      Detection distance/km1
      Target size/m2
      System diameter/mm<200
      Wavelength/μmMWIR: 3.7~4.8
      LWIR: 7.7~9.5
    • Table 4. Main parameters of infrared two-color detector

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      Table 4. Main parameters of infrared two-color detector

      TypeThe parameter value
      Resolution320×256
      cell size/μm30×30
      target size/mm12.29
    • Table 5. Sub-aperture optical system design parameters

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      Table 5. Sub-aperture optical system design parameters

      MWIRLWIR
      Wavelength/μm3.7~4.87.7~9.5
      Focal length/mm4848
      F#33
      Field of view/(°)99
    • Table 6. Optical system design parameters of relay system

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      Table 6. Optical system design parameters of relay system

      MWIRLWIR
      Wavelength/μm3.7~4.87.7~9.5
      Focal length/mm66
      Detector size/mm12.2912.29
      Field of view/(°)$ \geqslant $92 $ \geqslant $92
    • Table 7. Focal length values of sub aperture systems at different band temperatures

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      Table 7. Focal length values of sub aperture systems at different band temperatures

      Temperature/°CMWIR/mmLWIR/mm
      −4047.939548.0351
      +2047.939248.0347
      +6047.939148.0346
    • Table 8. Focal length values of relay systems at different band temperatures

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      Table 8. Focal length values of relay systems at different band temperatures

      Temperature/°CMWIR/mmLWIR/mm
      −406.15326.1422
      +206.14266.1320
      +606.13516.1252
    • Table 9. YNI and I/IBAR values on all surfaces of relay system

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      Table 9. YNI and I/IBAR values on all surfaces of relay system

      SurfaceYNII/IBARSurfaceYNII/IBAR
      11.2273.16591.2650.525
      21.4250.810101.3890.527
      31.4410.81411−1.1743.822
      43.0891.46512−0.97316.673
      5−2.5744.49913−1.2310.089
      6−2.2054.15614−0.1660.243
      70.2670.13715−0.3601.058
      80.1680.07316−0.2820.414
    • Table 10. Tolerance assignment table for compound eye system

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      Table 10. Tolerance assignment table for compound eye system

      ParametersSpecification
      Radius/fringes±2
      Thickness/mm±0.02
      Surface XY decenter/mm ±0.01
      Surface XY tilt/(°) ±0.02
      Element XY decenter/mm ±0.01
      Element XY tilt/(°) ±0.02
      Abbe number0.5%
      Index0.001
      Zernike irregularity/fringes0.1
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    Chen FAN, Jun LIU, Ming GAO, Hong LV. Design of compound eye optical system with hexagonal band arrangement and common optical path[J]. Chinese Optics, 2023, 16(1): 158

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    Paper Information

    Category: Original Article

    Received: Jun. 9, 2022

    Accepted: --

    Published Online: Jul. 5, 2023

    The Author Email:

    DOI:10.37188/CO.2022-0116

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