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

Journals >Chinese Optics Letters >Volume 18 >Issue 4 >Page 041402 > Article

Chinese Optics Letters
Vol. 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、**

Author Affiliations

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

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DOI: 10.3788/COL202018.041402 Cite this Article Set citation alerts

Renqi Liu, Chun Peng, Xiaoyan Liang, Ruxin Li. Coherent beam combination far-field measuring method based on amplitude modulation and deep learning[J]. Chinese Optics Letters, 2020, 18(4): 041402 Copy Citation Text

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

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Far-field distribution under different beam-pointing and phase differences: (a) [0,0,0,0,0], (b) [20 μrad,20 μrad,−20 μrad,−20 μrad,0], and (c) [0,0,0,0,π].

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]

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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]

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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.

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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.

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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.

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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.

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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

Table 1. Measurement Errors Under Different Wavefront Aberrations

Renqi Liu, Chun Peng, Xiaoyan Liang, Ruxin Li. Coherent beam combination far-field measuring method based on amplitude modulation and deep learning[J]. Chinese Optics Letters, 2020, 18(4): 041402

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