Infrared and Laser Engineering, Volume. 53, Issue 9, 20240231(2024)

Study of fast calculation method of far-field radius for laser propagation through turbulent atmosphere

Xun CUI1,2,3, Xiaowei CHEN2,3,4、*, Xianmei QIAN2,3,4, Wenyue ZHU2,3,4, Pengfei WU2,3,4, Lingyun MIN2,3, and Ruizhong RAO1,2,3,4
Author Affiliations
  • 1School of Environmental Science and Optoelectronic Technology, University of Science and Technology of China, Hefei 230026, China
  • 2Key Laboratory of Atmospheric Optics, Anhui Institute of Optics and Fine Mechanics, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei 230031, China
  • 3Anhui Laboratory of Advanced Laser Technology, Hefei 230037, China
  • 4Nanhu Laser Laboratory, National University of Defense Technology, Changsha 410073, China
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    Figures & Tables(14)
    Comparison between scaling law results and simulated results. (a) Far-field effective radius; (b) Relative error of far-field effective radius
    Architecture of MFTT
    Flowchart of TPE algorithm
    The relationship between mean relative error and trails in hyperparameter search of artificial intelligence model. (a) LightGBM;(b) MLP;(c) MFTT
    Loss function curve of training process of three models. (a) LightGBM; (b) MLP; (c) MFTT
    The evaluation results of each artificial intelligence model compared with the simulated results. (a), (d) LightGBM; (b), (e) MLP; (c), (f) MFTT
    The result accuracy of each model on different data quantities.
    The evaluation results compared with the simulated results. (a) Scaling Law; (b) MFTT; (c) LightGBM; (d) MLP
    Evaluation speed of each model
    • Table 1. Paramter space of Gaussian beam propagating through turbulent atmosphere

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      Table 1. Paramter space of Gaussian beam propagating through turbulent atmosphere

      ParameterValue
      Wavelength $\lambda $/μm1.06
      Truncated factor ${F_{{a}}}$$2\sqrt 2 $, 4, 6
      Aperture $D$/m0.2, 0.6, 1.0, 1.2, 1.4, 1.8
      Beam quality ${{\beta}_0}$1, 2, 4, 6, 8, 10
      Jitter deviation ${\sigma _J}$/μrad0, 1, 2, 4, 6, 8, 10
      Distance $L$/km0.4, 0.6, 0.8, 1, 1.2, 2, 4, 6, 8, 10, 15, 20, 30
      Elevation $\theta $/(°)0, 15, 30, 45, 60, 90
      Fresnel number ${N_{{F}}}$$1.5 \leqslant {N_F} \leqslant {\text{6 003}}{\text{.4}}$
      ${r_{{\text{0}}{\text{.55}}}}$/cm${\text{2}} < {r_{{\text{0}}{\text{.55}}}} < 22.83$
    • Table 2. Hyperparameter search space of LightGBM

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      Table 2. Hyperparameter search space of LightGBM

      NameHyperparameterValueBest value
      Max_bin${B_{in}}$$1 \leqslant {B_{in}} \leqslant 1\;000$107
      Num_iterations${I_{ter}}$$1 \leqslant {I_{ter}} \leqslant 1\;000$806
      Learning_rate${L_r}$$0.01\; \leqslant {L_r} \leqslant 0.3$0.1028
      Num_leaves${L_e}$$1\; \leqslant {L_e}\; \leqslant 1\;000$359
    • Table 3. Hyperparameter search space of MLP

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      Table 3. Hyperparameter search space of MLP

      NameHyperparameterValueBest value
      Number of layers${N_{\text{l}}}$$1\; \leqslant {N_{\text{l}}} \leqslant 10$2
      Number of units${N_{{u}}}$$7 \leqslant {N_{{u}}}\; \leqslant 256$231, 145
    • Table 4. Hyperparameter search space of MFTT

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      Table 4. Hyperparameter search space of MFTT

      NameHyperparameterValueBest value
      Number of heads$ {N_{{h}}} $$1\; \leqslant {N_{{h}}}\; \leqslant 5$2
      Number of tokens$ {N_{{t}}} $$ 1\; \leqslant {N_{{t}}}\; \leqslant 50 $14
      Number of units$ {N_{{u}}} $$ 1\; \leqslant {N_{{u}}} \leqslant 256 $76
      Rate of drop out${R_{{d}}}$$0.1 \leqslant {R_{{d}}} \leqslant 0.3$0.219
      Number of output units${N_{{{ou}}}}$$32 \leqslant {N_{{{ou}}}} \leqslant 256$111
    • Table 5. Paramter space of Gaussian beam propagating through turbulent atmosphere

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      Table 5. Paramter space of Gaussian beam propagating through turbulent atmosphere

      ParameterValue
      Wavelength $\lambda $/μm1.06
      Truncated factor ${F_{{a}}}$3.5, 4.5, 5.5
      Aperture $D$/m0.3, 0.5, 0.8
      Beam quality ${{\beta}_0}$1, 3, 5, 8
      Jitter deviation ${\sigma _J}$/μrad0, 1, 5, 7
      Distance $L$/km3, 5, 9, 16
      Elevation $\theta $/(°)0, 20, 50
      Fresnel number ${N_{{F}}}$$1.5 \leqslant {N_F} \leqslant 110$
      ${r_{{\text{0}}{\text{.55}}}}$/cm${\text{2}} < {r_{{\text{0}}{\text{.55}}}} < 14$
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    Xun CUI, Xiaowei CHEN, Xianmei QIAN, Wenyue ZHU, Pengfei WU, Lingyun MIN, Ruizhong RAO. Study of fast calculation method of far-field radius for laser propagation through turbulent atmosphere[J]. Infrared and Laser Engineering, 2024, 53(9): 20240231

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    Paper Information

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    Received: May. 28, 2024

    Accepted: Jul. 31, 2024

    Published Online: Oct. 22, 2024

    The Author Email: CHEN Xiaowei (cxw@aiofm.ac.cn)

    DOI:10.3788/IRLA20240231

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