Wavefront Distortion Correction of Vortex Beam Based on Improved SPGD Algorithm

Shengjie Ma; Shiqi Hao; Qingsong Zhao

doi:10.3788/AOS202141.0601001

Journals >Acta Optica Sinica >Volume 41 >Issue 6 >Page 0601001 > Article

Acta Optica Sinica
Vol. 41, Issue 6, 0601001 (2021)

Wavefront Distortion Correction of Vortex Beam Based on Improved SPGD Algorithm

Shengjie Ma^1、2, Shiqi Hao^1、2、*, and Qingsong Zhao^1、2

Author Affiliations

¹State Key Laboratory of Pulse Laser Technology, National University of Defense Technology, Hefei, Anhui 230037, China

²AnHui Province Key Laboratory of Electronic Restriction, Hefei, Anhui 230037, China

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DOI: 10.3788/AOS202141.0601001 Cite this Article Set citation alerts

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 Copy Citation Text

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Fig. 1. Model of multiple phase screens

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Intensities and phase distributions of LG beam under different turbulence intensities. (a) Free space; (b) Cn2=10-16m-2/3; (c) Cn2=10-15m-2/3; (d) Cn2=10-14m-2/3

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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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 1. Simulation parameters

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

Table 2. Parameters of improved algorithms

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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