Vortex Beam Phase Correction Based on Deep Phase Estimation Network

Juan Liu; Qian Du; Fangning Liu; Ke Wang; Jiayi Yu; Dongmei Wei

doi:10.3788/AOS221804

Acta Optica Sinica, Volume. 43, Issue 6, 0601013(2023)

Vortex Beam Phase Correction Based on Deep Phase Estimation Network

Juan Liu, Qian Du, Fangning Liu, Ke Wang, Jiayi Yu^**, and Dongmei Wei^*

Shandong Provincial Engineering and Technical Center of Light Manipulations, School of Physics and Electronics, Shandong Normal University, Jinan 250358, Shandong, China

show less

Abstract Get PDF(in Chinese)

Figures & Tables(13)

Fig. 1. Schematic diagram of beam transmission through multiple phase screens

Download full size

Fig. 2. Simulated phase diagram

Download full size

Fig. 3. Influence of atmospheric turbulence on beam transmission

Download full size

Fig. 4. Mode purity of LG (l=5) under different turbulence intensities

Download full size

Fig. 5. Block diagrams of phase compensation process. (a) Source pre-compensation; (b) direct compensation at receiving end

Download full size

Fig. 6. DPEnet network structure

Download full size

Fig. 7. Simulated and predicted phase screens with different turbulence intensities. (a) $1 \times 10^{- 14} m^{- 2 / 3}$ ; (b) $2.5 \times 10^{- 14} m^{- 2 / 3}$ ; (c) $5 \times 10^{- 14} m^{- 2 / 3}$ ; (d) $7.5 \times 10^{- 14} m^{- 2 / 3}$ ; (e) $1 \times 10^{- 13} m^{- 2 / 3}$

Download full size

Fig. 8. Compensation results. (a) Intensity profile in source plane; uncompensated and compensated intensity profiles with turbulence intensities of (b) $1 \times 10^{- 14} m^{- 2 / 3}$ , (c) $2.5 \times 10^{- 14} m^{- 2 / 3}$ , (d) $5 \times 10^{- 14} m^{- 2 / 3}$ , (e) $7.5 \times 10^{- 14} m^{- 2 / 3}$ , and (f) $1 \times 10^{- 13} m^{- 2 / 3}$ , respectively

Download full size

Fig. 9. Mode purity before and after compensation

Download full size

Fig. 10. Phases before and after compensation. (a) Phase in source plane; uncompensated and compensated phases with turbulence intensities of (b) $1 \times 10^{- 14} m^{- 2 / 3}$ , (c) $2.5 \times 10^{- 14} m^{- 2 / 3}$ , (d) $5 \times 10^{- 14} m^{- 2 / 3}$ , (e) $7.5 \times 10^{- 14} m^{- 2 / 3}$ , and (f) $1 \times 10^{- 13} m^{- 2 / 3}$ , respectively

Download full size

Table 1. Database

View table

Table 1. Database

Data set	$C_{n}^{2}$ / $(10^{- 14} m^{- 2 / 3})$ of LG	Sample size of LG	$C_{n}^{2}$ / $(10^{- 14} m^{- 2 / 3})$ of GB	Sample size of LG
Train set	$[1,10]$	30000	$[1,10]$	30000
Test set 1	$1$	1000	$1$	1000
Test set 2	$2.5$	1000	$2.5$	1000
Test set 3	$5$	1000	$5$	1000
Test set 4	$7.5$	1000	$7.5$	1000
Test set 5	$10$	1000	$10$	1000

Table 2. Comparison of MSE between predicted phase screen and simulated phase screen
View table
Table 2. Comparison of MSE between predicted phase screen and simulated phase screen
$C_{n}^{2}$ / $(10^{- 14} m^{- 2 / 3})$ $1$ $2.5$ $5$ $7.5$ $10$
MSE of LG 0.07 0.15 0.25 0.38 0.53
MSE of GB 0.06 0.14 0.31 0.48 0.67

Table 3. Comparison of MSE of intensity profiles before and after compensation
View table
Table 3. Comparison of MSE of intensity profiles before and after compensation
$C_{n}^{2}$ / $(10^{- 14} m^{- 2 / 3})$ MSE without compensation MSE with compensation for LG MSE with compensation for GB
$1$ 246.8 50.3 48.4
$2.5$ 527.8 68.1 64.1
$5$ 931.3 98.9 109.0
$7.5$ 1259.0 151.9 166.5
$10$ 1557.9 228.9 243.1

Tools

Get Citation

Copy Citation Text

Juan Liu, Qian Du, Fangning Liu, Ke Wang, Jiayi Yu, Dongmei Wei. Vortex Beam Phase Correction Based on Deep Phase Estimation Network[J]. Acta Optica Sinica, 2023, 43(6): 0601013

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites