Optical Instruments, Volume. 44, Issue 3, 44(2022)

A method for optimizing fisheye lenses by applying multiple aspheric surfaces

Bingbing GAO... Lijun LYU* and Tao ZENG |Show fewer author(s)
Author Affiliations
  • Department of Precision Mechanical Engineering, Shanghai University, Shanghai 200072, China
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    Figures & Tables(15)
    Schematic diagram of coordinate conversion when light is reflected by a secondary cone surface
    Schematic diagram of principal light transmission
    Schematic diagram of optical path of fisheye lens
    Original wave aberration distribution
    The imaging performance of fisheye lens changing with the coefficient of aspherical surface
    Wave aberration distribution when the ninth surface is aspheric
    All spherical optimized MTF curves
    The optimized MTF curve when the 9th surface is used as an aspheric surface
    The Q value change diagram of the system when the two optical surfaces in the system are used as aspherical surfaces
    The distribution of the system wave aberration when the 8th and 9th surfaces are used as aspherical surfaces
    The optimized MTF curve when the 8th and 9th surfaces are used as aspherical surfaces
    • Table 1. Optical parameters of all spherical fisheye lens

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      Table 1. Optical parameters of all spherical fisheye lens

      SurfaceRadius/mmDistance/mmIndexGlass
      OriginalOptimize ⅠOriginalOptimize Ⅰ
      1143.470169.2517.0008.5071.51680N-BK7
      252.50076.91128.00030.260
      376.40079.3523.8005.0501.51680N-BK7
      431.52129.15521.80018.999
      5150.000153.6093.0003.0961.51680N-BK7
      617.10019.98216.50016.863
      7−60.000−42.2447.0007.1121.62090SK51
      822.62522.0190.6000.627
      923.90024.60912.60014.7231.72825SF10
      1078.98891.86729.60033.059
      11278.333300.6373.0002.9801.64831SF12
      12−185.420−136.9800.1000.095
      1352.03053.2327.0007.9331.52330D263TECO
      14−28.500−23.1222.0002.5151.77314LAFN28
      15−77.000−57.69313.00010.642
      STOInfinityInfinity2.0002.104
      1645.00056.4366.0007.2051.51820K3
      17−14.400−9.5280.6000.8091.80610P-LASF47
      18−34.500−25.7460.1000.107
      19−110.000−103.5191.0001.1241.71736SF1
      2035.00041.2083.5003.9771.51680N-BK7
      21−27.763−16.76242.02928.260
    • Table 2. The initial Q value of the system and the corresponding Q value of the aspheric coefficient

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      Table 2. The initial Q value of the system and the corresponding Q value of the aspheric coefficient

      参数初始非球面优化
      Surf.689
      a2−0.897−0.878−1.109
      Q/mm20.0185010.0095190.0091050.008974
    • Table 3. Optics parameters of the system after adding aspheric surface optimization

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      Table 3. Optics parameters of the system after adding aspheric surface optimization

      SurfaceRadius/mmDistance/mmAspheric coefficient/ (a2)
      Optimized ⅡOptimized ⅢOptimized ⅡOptimized ⅢOptimized ⅡOptimized Ⅲ
      1189.021101.8496.9245.710−1−1
      252.63342.46425.20936.714−1−1
      374.44662.0903.7803.317−1−1
      441.74326.52426.69816.269−1−1
      5152.046183.3823.1332.984−1−1
      616.79114.55718.46614.253−1−1
      7−45.165−44.4637.7197.647−1−1
      829.83222.6390.7120.469−1−1.646
      928.09622.00016.31210.487−1.194−1.092
      1096.99282.47540.45725.311−1−1
      11278.580179.1133.0332.189−1−1
      12−172.015−152.7980.0840.074−1−1
      1361.10142.1598.2374.467−1−1
      14−20.352−25.0561.9862.421−1−1
      15−58.557−63.23616.1896.488−1−1
      STOInfinityInfinity2.1512.182−1−1
      1649.89131.7336.3447.478−1−1
      17−11.826−8.6150.5910.602−1−1
      18−26.717−28.2840.1320.080−1−1
      19−121.931−147.3341.1600.720−1−1
      2041.50028.3393.3133.283−1−1
      21−22.260−14.17630.12022.680−1−1
    • Table 4. The minimum Q value and the corresponding aspheric coefficient obtained from the combination of two optical surfaces

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      Table 4. The minimum Q value and the corresponding aspheric coefficient obtained from the combination of two optical surfaces

      参数6-8面组合6-9面组合8-9面组合
      Surf.686989
      a2−1.189−0.627−1.159−1.269−0.358−0.544
      Q/mm20.0070890.0071540.006913
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    Bingbing GAO, Lijun LYU, Tao ZENG. A method for optimizing fisheye lenses by applying multiple aspheric surfaces[J]. Optical Instruments, 2022, 44(3): 44

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    Paper Information

    Category: OPTICAL SYSTEM

    Received: Dec. 28, 2021

    Accepted: Feb. 21, 2022

    Published Online: Jul. 8, 2022

    The Author Email: LYU Lijun (lulijun@shu.edu.cn)

    DOI:10.3969/j.issn.1005-5630.2022.03.007

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