Polarization Control Algorithm Based on Adaptive Moment Estimation

Fig. 6. Experimental results of different noise amplitudes. (a) Control process of different noise amplitudes; (b) iterative curves of different noise amplitudes

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Fig. 7. Device diagram of polarization control system based on Adam algorithm

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Fig. 8. Polarization control from input SOP (-1,0,0) to the aim SOP (0,1,0). (a) Polarization control process on Poincare sphere; (b) polarization control time variation curve

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Table 1. Input/output polarization and iteration step
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Table 1. Input/output polarization and iteration step
Point Input SOP Aim SOP Number of iteration steps
1 (0,0,1) (0,1,0) 81
2 (0,0,-1) (0,1,0) 76
3 (1,0,0) (0,1,0) 48
4 (-1,0,0) (0,1,0) 55
5 (0.62,-0.73,-0.28) (0,1,0) 74

Table 2. Maximum Control accuracy and iteration steps of Adam algorithm under different attenuation rates
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Table 2. Maximum Control accuracy and iteration steps of Adam algorithm under different attenuation rates
α 10^-2 10^-3 S_th10^-4 10^-5 10^-6
0.01 176 186 189 192 191
0.02 77 81 82 101 N/A
0.03 50 52 53 N/A N/A
0.04 37 39 N/A N/A N/A

Table 3. Control accuracy and iteration steps of SGD algorithm under different attenuation rates
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Table 3. Control accuracy and iteration steps of SGD algorithm under different attenuation rates
α S_th
10^-2 10^-3 10^-4
0.01 97 N/A N/A
0.02 56 N/A N/A
0.03 39 N/A N/A
0.04 30 N/A N/A

Table 4. Iteration steps of the two algorithms under different noise amplitudes
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Table 4. Iteration steps of the two algorithms under different noise amplitudes
Algorithm γ
0 0.0003 0.0005 0.0007 0.001 0.003
SGD 198 188 187 188 N/A N/A
Adam 143 145 147 150 154 190

Table 5. Polarization control time for different SOPs
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Table 5. Polarization control time for different SOPs
Point Input SOP Aim SOP Polarization control time /s
1 (0,0,1) (0,1,0) 3.0
2 (0,0,-1) (0,1,0) 1.2
3 (1,0,0) (0,1,0) 6.0
4 (-1,0,0) (0,1,0) 4.0
5 (0.62,-0.73,-0.28) (0,1,0) 4.8

Table 6. Adam algorithm polarization control time under different attenuation rates
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Table 6. Adam algorithm polarization control time under different attenuation rates
α 0.01 0.02 0.03 0.04
Time /s 25.0 20.0 8.0 3.6

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Qian Xia, Tao Zhang, Jinlu Liu, Jie Yang, Yuanhang He, Wei Huang, Dashuang Li, Bingjie Xu. Polarization Control Algorithm Based on Adaptive Moment Estimation[J]. Acta Optica Sinica, 2020, 40(15): 1526001

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Paper Information

Category: Physical Optics

Received: Mar. 3, 2020

Accepted: Apr. 29, 2020

Published Online: Aug. 14, 2020

The Author Email: Xu Bingjie (xbjpku@163.com)

DOI:10.3788/AOS202040.1526001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Input/output polarization and iteration step

Table 1. Input/output polarization and iteration step

Table 2. Maximum Control accuracy and iteration steps of Adam algorithm under different attenuation rates

Table 2. Maximum Control accuracy and iteration steps of Adam algorithm under different attenuation rates

Table 3. Control accuracy and iteration steps of SGD algorithm under different attenuation rates

Table 3. Control accuracy and iteration steps of SGD algorithm under different attenuation rates

Table 4. Iteration steps of the two algorithms under different noise amplitudes

Table 4. Iteration steps of the two algorithms under different noise amplitudes

Table 5. Polarization control time for different SOPs

Table 5. Polarization control time for different SOPs

Table 6. Adam algorithm polarization control time under different attenuation rates

Table 6. Adam algorithm polarization control time under different attenuation rates