Chinese Journal of Liquid Crystals and Displays, Volume. 38, Issue 6, 798(2023)

High-precision turbulence wavefront reconstruction based on Transformer structure

Jia-hao FENG1,2, Qi-li HU3, Lü JIANG1,2, Yan-yan YANG1,2, Sheng-xiao HUA1,2, Jing-jing WU1,2, and Li-fa HU1,2、*
Author Affiliations
  • 1College of Science,Jiangnan University,Wuxi 214122,China
  • 2Jiangsu Provincial Research Center of Light Industry Optoelectronic Engineering and Technology,Wuxi 214122,China
  • 3Key Laboratory of Electro-Optical Countermeasure Test & Evaluation Technology,Luoyang 471003,China
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    Figures & Tables(9)
    Architecture and details of SH-U-Transformer.(a)Architecture of SH-U-Transformer(H and W indicate the size of the feature map. C is the channel’s number);(b)Architecture of the Embedding Layer(k is the size of the convolution kernel,s is the stride of the convolution,and p is the padding added to all four sides of the input);(c)Architecture of the Transformer Block(the number of attentional heads in the two multi-headed self-attention mechanisms doubles as the number of channels increases,and the initial number of attention heads is 9).
    SH-U-Transformer downsampling mode
    Simulated optical path diagram for data generation and wavefront reconstruction
    Comparison of the wavefront reconstruction results of the four methods at four different r0. The calculated wavefront and its residuals use a different color bar than the original wavefront. The RMS error(RMSE)and the PV error for each residual are given.
    Comparison of RMS errors of residual wavefront under different r0 for four wavefront reconstruction methods.(a)r0 ranges from 5 cm to 10 cm;(b)r0 ranges from 10 cm to 15 cm;(c)r0 ranges from 15 cm to 20 cm;(d)r0 ranges from 20 cm to 25 cm. Each stage screen contains 100 datasets.
    Results of wavefront reconstruction at different magnitudes.(a)Reconstruction results from the same wavefront at different magnitudes from top to down,the output wavefronts and their residuals use a different color bar than the original wavefront,and RMS error(RMSE)and the PV error for each residual are given;(b)RMS error distributions of reconstructed wavefronts of different magnitudes are obtained when r0 is in the range of 5~20 cm. Each stage screen contains 100 datasets.
    • Table 1. Key parameters for turbulence phase screens

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      Table 1. Key parameters for turbulence phase screens

      ParametersValues
      Height/km[0,5,12]
      Fractions of Cn2[0.5,0.3,0.2]
      Windspeed/(m·s-1[5.65±0.1,5.65±0.1,5.65±0.1]
    • Table 2. The first 250 terms Zernike polynomial coefficient distribution

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      Table 2. The first 250 terms Zernike polynomial coefficient distribution

      ModeCoefficient distribution/μmModeCoefficient distribution/μm
      2nd~6th±2.38124th~138th±5.62
      7th±0.33139th±1.34
      8th~14th±2.81140th~150th±5.71
      15th±1.44151th±5.77
      16th~38th±4.10152th~168th±5.93
      39th±0.99169th±5.83
      40th~46th±4.41170th~178th±5.40
      47th±0.53179th±4.90
      48th~58th±4.52180th~186th±6.07
      59th±2.13187th±5.79
      60th~68th±4.81188th~206th±6.11
      69th±1.69207th±5.66
      70th~82th±4.49208th~224th±6.10
      83th±2.30225th±6.34
      84th~90th±3.82226th~227th±6.06
      91th±5.03228th~231th±5.43
      92th~108th±5.28232th~246th±6.35
      109th~122th±5.51247th±6.37
      123th±1.93248th~250th±5.90
    • Table 3. Parameters of sub-apertures of SHWFS at different magnitudes

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      Table 3. Parameters of sub-apertures of SHWFS at different magnitudes

      Magnitude/magNumber of effective sub-aperturesAverage intensity/cd
      31 2246 126.78
      41 2232 440.57
      51 217971.27
      61 205387.60
      7952154.20
      822961.11
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    Jia-hao FENG, Qi-li HU, Lü JIANG, Yan-yan YANG, Sheng-xiao HUA, Jing-jing WU, Li-fa HU. High-precision turbulence wavefront reconstruction based on Transformer structure[J]. Chinese Journal of Liquid Crystals and Displays, 2023, 38(6): 798

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    Paper Information

    Category: Research Articles

    Received: Feb. 21, 2023

    Accepted: --

    Published Online: Jun. 29, 2023

    The Author Email: Li-fa HU (hulifa@jiangnan.edu.cn)

    DOI:10.37188/CJLCD.2023-0067

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