Coherent beam combination far-field measuring method based on amplitude modulation and deep learning

Renqi Liu; Chun Peng; Xiaoyan Liang; Ruxin Li

doi:10.3788/COL202018.041402

Chinese Optics Letters, Volume. 18, Issue 4, 041402(2020)

Coherent beam combination far-field measuring method based on amplitude modulation and deep learning

Renqi Liu^1,2, Chun Peng¹, Xiaoyan Liang^1,3、*, and Ruxin Li^1,3、**

¹State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China

²Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

³School of Physical Science and Technology, ShanghaiTech University, Shanghai 200031, China

show less

Figures & Tables(8)

Fig. 1. (a) A simple schematic diagram of a two-beam tiled-aperture CBC system and (b) the training procedure of DCNN.

Download full size

View in Article

Fig. 2. Far-field distribution under different beam-pointing and phase differences: (a) $[0, 0, 0, 0, 0]$ , (b) $[20 μ rad, 20 μ rad, - 20 μ rad, - 20 μ rad, 0]$ , and (c) $[0, 0, 0, 0, π]$ .

Download full size

View in Article

Fig. 3. Far-field distribution under different amplitude modulation ratios: (a) $A_{2} = A_{1}$ , $[20 μ rad, 20 μ rad, 0, 0, 0]$ , (b) $A_{2} = A_{1}$ , $[0, 0, 20 μ rad, 20 μ rad, 0]$ , (c) $A_{2} = 2 A_{1}$ , $[20 μ rad, 20 μ rad, 0, 0, 0]$ , and (d) $A_{2} = 2 A_{1}$ , $[0, 0, 20 μ rad, 20 μ rad, 0]$ .

Download full size

View in Article

Fig. 4. (a) Training and validation errors across training epochs. (b) The testing set error of 500 samples; the red circle represents the beam-pointing error, and the blue sign represents the phase difference error.

Download full size

View in Article

Fig. 5. Testing set error distribution, in the cases of $γ = 1$ , $γ = 3$ , $γ = 10$ , and $γ = 30$ : (a) the beam-pointing error and (b) the phase difference error.

Download full size

View in Article

Fig. 6. Testing set error distribution, in the cases of $R = 1.2$ , $R = 1.5$ , $R = 2$ , and $R = 4$ : (a) the beam-pointing error and (b) the phase difference error.

Download full size

View in Article

Fig. 7. Testing set error distribution, in the cases of $D = 4 mm$ , $D = 10 mm$ , $D = 25 mm$ , and $D = 50 mm$ : (a) the beam-pointing error and (b) the phase difference error.

Download full size

View in Article

Table 1. Measurement Errors Under Different Wavefront Aberrations

View table

View in Article

Table 1. Measurement Errors Under Different Wavefront Aberrations

Training Set Wavefront Aberration (rad)	Testing Set Wavefront Aberration (rad)	Beam-pointing Error (μrad)	Phase Difference Error (rad)
0	0	0.193	0.0243
	$π$ /4	0.700	0.0308
	$π$ /2	1.530	0.0615
$π$ /4	0	0.346	0.0484
	$π$ /4	0.423	0.0444
	$π$ /2	0.983	0.0684

Tools

Get Citation

Copy Citation Text

Renqi Liu, Chun Peng, Xiaoyan Liang, Ruxin Li, "Coherent beam combination far-field measuring method based on amplitude modulation and deep learning," Chin. Opt. Lett. 18, 041402 (2020)

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites

Paper Information

Category: Lasers and Laser Optics

Received: Oct. 28, 2019

Accepted: Dec. 26, 2019

Posted: Dec. 27, 2019

Published Online: Apr. 14, 2020

The Author Email: Xiaoyan Liang (liangxy@siom.ac.cn), Ruxin Li (ruxinli@mail.shcnc.ac.cn)

DOI:10.3788/COL202018.041402

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology