Wavefront Distortion Correction of Vortex Beam Based on Improved SPGD Algorithm

Fig. 2. Intensities and phase distributions of LG beam under different turbulence intensities. (a) Free space; (b) $C_{n}^{2}$ =10^-16m^-2^/³; (c) $C_{n}^{2}$ =10^-15m^-2^/³; (d) $C_{n}^{2}$ =10^-14m^-2^/³

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Fig. 3. Principle diagram of correction of SPGD algorithm

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Fig. 4. Block diagram of SPGD algorithm for (n+1)th iteration

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Fig. 5. Comparison of light intensity correlation coefficients of various algorithms under different turbulence intensities. (a) $C_{n}^{2}$ =1.0×10^-16 m^-2^/³; (b) $C_{n}^{2}$ =1.0×10^-15 m^-2^/³; (c) $C_{n}^{2}$ =1.0×10^-14 m^-2^/³

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Table 1. Simulation parameters
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Table 1. Simulation parameters
Parameter Value
Laser wavelength λ /nm 632.8
Beam waist w₀ /cm 2
Transmission distance z /km 6
Grid spacing Δx /cm 0.04
Number of grid elements 768
Width of phase screen L /m 0.5
Number of phase screens 20

Table 2. Parameters of improved algorithms
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Table 2. Parameters of improved algorithms
Improved algorithm Parameter
Momentum α=0.8
Nesterov α=0.8
RMSprop β=0.9
AdaDelta β=0.9, ξ=1×10^-6
Nadam α_i=0.8, β=0.9, ξ=1×10^-6

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Shengjie Ma, Shiqi Hao, Qingsong Zhao. Wavefront Distortion Correction of Vortex Beam Based on Improved SPGD Algorithm[J]. Acta Optica Sinica, 2021, 41(6): 0601001

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