Acta Photonica Sinica, Volume. 49, Issue 1, 0111001(2020)

Effect of Thermally Induced Gradient Index on Imaging Quality of Aspherical Optical System

Dong-xu JIANG1... Bao-yu SUN1, Ying-chun LI1,*, Jie-qiong LIN1, Dong-xue WANG1 and Wen-pan WANG2 |Show fewer author(s)
Author Affiliations
  • 1Changchun University of Technology, Changchun 130012
  • 2Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
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    Figures & Tables(20)
    机载相机三维结构Three-dimensional structure of the airborne camera
    镜筒有限元网格模型Finite element mesh model of the lens barrel
    开始工作时透镜温度分布Lens temperature distribution at the beginning of operation
    工作10 min时透镜温度分布Lens temperature distribution at 10 min
    工作20 min时透镜温度分布Lens temperature distribution at 20 min
    工作30 min时透镜温度分布Lens temperature distribution at 30 min
    工作40 min时透镜温度分布Lens temperature distribution at 40 min
    Optical system point map design value
    Point map fit value when starting work
    Working for 10 min point map fitting value
    Working for 20 min point map fitting value
    Working for 30 min point map fitting value
    Working for 40 min point map fitting value
    • Table 1. Material thermal properties

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      Table 1. Material thermal properties

      MaterialConductivity/ (W·m-1·K-1)Young′s modulus/MPaDensity/(t·mm-3)Specific heat/(MJ·t-1·K-1)Poisson′s ratioExpansion/℃
      Aluminum217.76.9×1042.70×10-98.88×1070.332.40×10-5
      H-ZBAF500.678.6×1043.77×10-95.4×1080.2799.00×10-6
      H-F130.968.4×1042.69×10-98.08×1080.2319.90×10-6
      H-ZK60.838.3×1043.54×10-96.9×1080.2677.90×10-6
      H-ZK201.027.7×1043.66×10-97.6×1080.2719.00×10-6
      F20.8835.7×1043.50×10-98.58×1080.2211.20×10-5
    • Table 2. Gradient index coefficient at the beginning of work

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      Table 2. Gradient index coefficient at the beginning of work

      No.n0nx1nx2ny1ny2nz1nz2
      11.658 445.22×10-7-3.52×10-91.58×10-113.43×10-95.09×10-73.44×10-9
      31.625 889.54×10-7-2.09×10-95.94×10-111.18×10-81.60×10-61.18×10-8
      51.612 72-2.66×10-82.24×10-10-1.65×10-12-2.02×10-10-2.43×10-8-2.02×10-10
      71.617 2-5.07×10-82.69×10-10-7.15×10-12-6.61×10-10-6.70×10-8-6.62×10-10
      91.620 042.79×10-6-3.45×10-82.90×10-102.38×10-82.24×10-62.37×10-8
      111.658 443.05×10-6-6.89×10-8-2.13×10-119.66×10-108.29×10-89.52×10-10
    • Table 3. Working for 10 min gradient refractive index coefficient

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      Table 3. Working for 10 min gradient refractive index coefficient

      No.n0nx1nx2ny1ny2nz1nz2
      11.658 444.97×10-7-3.29×10-91.33×10-112.96×10-94.39×10-72.96×10-9
      31.625 886.97×10-7-1.84×10-93.87×10-117.79×10-91.05×10-67.79×10-9
      51.612 72-1.14×10-86.51×10-11-6.27×10-13-8.86×10-11-1.07×10-8-8.85×10-11
      71.617 2-2.78×10-81.75×10-10-1.77×10-12-1.73×10-10-1.75×10-8-1.73×10-10
      91.620 041.69×10-6-2.03×10-81.50×10-101.23×10-81.17×10-61.23×10-8
      111.658 442.19×10-6-4.85×10-8-1.51×10-116.07×10-105.20×10-85.98×10-10
    • Table 4. Working for 20 min gradient refractive index coefficient

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      Table 4. Working for 20 min gradient refractive index coefficient

      No.n0nx1nx2ny1ny2nz1nz2
      11.658 442.77×10-7-1.92×10-095.38×10-121.15×10-91.71×10-71.15×10-9
      31.625 883.78×10-7-1.52×10-091.59×10-113.16×10-94.27×10-73.16×10-9
      51.612 726.79×10-9-9.11×10-129.78×10-131.38×10-101.66×10-81.38×10-10
      71.617 2-2.43×10-82.09×10-10-3.59×10-13-3.74×10-11-3.78×10-9-3.74×10-11
      91.620 041.07×10-6-1.24×10-87.15×10-115.89×10-95.56×10-75.89×10-9
      111.658 441.25×10-6-2.65×10-8-5.89×10-122.95×10-102.53×10-82.90×10-10
    • Table 5. Working for 30 min gradient refractive index coefficient

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      Table 5. Working for 30 min gradient refractive index coefficient

      No.n0nx1nx2ny1ny2nz1nz2
      11.658 442.27×10-7-1.32×10-94.38×10-121.00×10-91.01×10-79.12×10-10
      31.625 883.36×10-7-1.21×10-91.30×10-113.08×10-93.97×10-72.91×10-9
      51.612 726.47×10-9-7.07×10-128.37×10-131.21×10-101.36×10-81.16×10-10
      71.617 2-1.83×10-81.36×10-10-2.69×10-13-3.00×10-11-2.98×10-9-3.32×10-11
      91.620 049.73×10-7-1.01×10-86.95×10-115.01×10-095.56×10-75.13×10-9
      111.658 441.11×10-6-2.42×10-8-5.23×10-122.73×10-102.33×10-82.00×10-10
    • Table 6. Working for 40 min gradient refractive index coefficient

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      Table 6. Working for 40 min gradient refractive index coefficient

      No.n0nx1nx2ny1ny2nz1nz2
      11.658 441.97×10-7-1.22×10-94.28×10-129.30×10-109.61×10-88.82×10-10
      31.625 883.15×10-7-1.17×10-91.16×10-112.99×10-93.87×10-72.71×10-9
      51.612 726.35×10-9-7.01×10-128.15×10-131.07×10-101.29×10-81.03×10-10
      71.617 2-1.53×10-81.23×10-10-2.55×10-13-2.86×10-11-2.57×10-9-3.20×10-11
      91.620 049.69×10-7-9.51×10-96.73×10-114.59×10-95.37×10-74.93×10-9
      111.658 441.01×10-6-2.34×10-8-5.11×10-122.67×10-102.18×10-81.50×10-10
    • Table 7. Diffraction spot radius of different gradient index optical systems

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      Table 7. Diffraction spot radius of different gradient index optical systems

      Field angleRMS/μm
      DesignStart workingWroking 10 minWorking 20 minWorking 30 minWorking 40 min
      Zero-field1.4051.5381.531.5291.5341.526
      Half-field1.5271.721.7011.6871.6861.682
      Full-field2.0332.2162.22.1852.1822.180
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    Dong-xu JIANG, Bao-yu SUN, Ying-chun LI, Jie-qiong LIN, Dong-xue WANG, Wen-pan WANG. Effect of Thermally Induced Gradient Index on Imaging Quality of Aspherical Optical System[J]. Acta Photonica Sinica, 2020, 49(1): 0111001

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    Paper Information

    Received: Jul. 6, 2019

    Accepted: Sep. 17, 2019

    Published Online: Mar. 19, 2020

    The Author Email: LI Ying-chun (279453588@qq.com)

    DOI:10.3788/gzxb20204901.0111001

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