Infrared and Laser Engineering, Volume. 52, Issue 11, 20230125(2023)
Numerical simulation of three-layer transmission model for ground-to-satellite turbulent path
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Fig. 3. The amplitude profile of the transmitting beam at waist spot
Fig. 4. Kolmogorov turbulent phase screens with different low frequency compensation
Fig. 5. 10/3 Non-Kolmogorov turbulent phase screens with different low frequency compensation
Fig. 6. Comparison of phase structure functions in turbulence simulation
Fig. 8. Simulation results of phase screen simulations corresponding to three atmospheres without harmonic compensation. （a）-（c） Kolmogorov; （d）-（f） Non-Kolmogorov
Fig. 9. Simulation results of phase screen simulations corresponding to three atmospheres with harmonic compensation. (a)-(c) Kolmogorov; (d)-(f) Non-Kolmogorov
Fig. 10. Comparison of phase structure functions in turbulence simulation
Fig. 11. The amplitude profile of the transmitting beam at waist spot. (a)-(c) Kolmogorov; (d)-(f) Non-Kolmogorov
Table 1. Simulation parameters
View tableView in ArticleTable 1. Simulation parameters
Parameters Notion Value Wavelength of Gauss beam $ \lambda $ 0.5 μm Gauss beam radius ${{w} }_{0}$ 0.05 m Zenith angle $ \theta $ 0° Outer scale ${{L} }_{0}$ 50 m Inner scale ${{l} }_{0}$ 0.001 m Turbulence model ${\rm{HV}}5/7$ ${\rm{HV}}5/7$ Transmitter grid spacing $ {\delta }_{t} $ 0.0035 m Receiver grid spacing $ {\delta }_{n} $ 0.005 m Sample points $ N $ 512 Scaling factor $ {\alpha }_{j} $ 0 Diameter of the observation aperture $ {D}_{2} $ 0.5 m
Table 2. Comparison of theoretical and simulation errors of mutual coherence factor
View tableView in ArticleTable 2. Comparison of theoretical and simulation errors of mutual coherence factor
Number of layers 2 3 6 11 21 Mean squared error 0.1471 6.87×10−4 3.43×10−5 3.38×10−5 3.15×10−5
Table 3. Parameters of each phase screen
View tableView in ArticleTable 3. Parameters of each phase screen
Atmospheric layer Turbulence intensity $ {C}_{n}^{2}/{{\rm{m}}}^{-2/3} $ Non-Kolmogorov spectral index $ \alpha $ Kolmogorov spectral index $ \alpha $ Boundary $ 9.99\times {10}^{-16} $ 11/3 11/3 Troposphere $ 2.01\times {10}^{-17} $ 3.5 11/3 Stratosphere $ 7.51\times {10}^{-18} $ 3.3 11/3
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Lingjun Shen, Yingxiong Song. Numerical simulation of three-layer transmission model for ground-to-satellite turbulent path[J]. Infrared and Laser Engineering, 2023, 52(11): 20230125
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Received: Mar. 9, 2023
Accepted: --
Published Online: Jan. 8, 2024
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