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Journals >
Laser & Optoelectronics Progress >
Volume 55 >
Issue 11 >
Page 111004 > Article
Laser & Optoelectronics Progress
Vol. 55, Issue 11, 111004 (2018)
Phase Unwrapping Algorithm Based on Mode Coefficient Solution
Boqing Pang
1、2、3
, Shuai Wang
1、3
, and Ping Yang
1、3、*
Author Affiliations
1
Key Laboratory on Adaptive Optics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
2
University of Chinese Academy of Sciences, Beijing 100049, China
3
Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China
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DOI:
10.3788/LOP55.111004
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Boqing Pang, Shuai Wang, Ping Yang. Phase Unwrapping Algorithm Based on Mode Coefficient Solution[J]. Laser & Optoelectronics Progress, 2018, 55(11): 111004
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Fig. 1.
Walsh function. (a) Sector elements generated by segmentation; (b) Walsh functions in two-dimensional polar coordinate
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Fig. 2.
Equivalent phase of wavefront
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Fig. 3.
Incident wavefront. (a) Wavefront shape; (b) Zernike polynomial coefficients
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Fig. 4.
Phase reconstruction. (a) Wrapped phase; (b) equivalent phase
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Fig. 5.
Equivalent phase of the Zernike polynomials
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Fig. 6.
Results of the Zernike polynomial coefficients. (a) Zernike polynomial coefficients; (b) error values of the retrieval Zernike polynomial coefficients
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Fig. 7.
Wavefront reconstruction results. (a) Reconstructed wavefront; (b) wavefront reconstruction error
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Fig. 8.
Phase reconstruction results based on the equivalent phase matrix. (a) Equivalent phase of the incident wavefront; (b) equivalent phase of the wavefront reconstruction; (c) error of the equivalent phase reconstruction
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Number of
Zernike function
Number of Walsh function
128
256
512
1024
35
0.0042
λ
0.0024
λ
0.0021
λ
0.0017
λ
65
0.0158
λ
0.0033
λ
0.0022
λ
0.0019
λ
Table 1.
RMS of the residual wavefront
Phase unwrapping algorithm
Time /s
RMS /
λ
Least-square
0.156
0.152
Proposed algorithm
0.0008
0.0024
Table 2.
Performance comparison of phase unwrapping algorithm
Abstract
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Boqing Pang, Shuai Wang, Ping Yang. Phase Unwrapping Algorithm Based on Mode Coefficient Solution[J]. Laser & Optoelectronics Progress, 2018, 55(11): 111004
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Paper Information
Category: Image Processing
Received: Mar. 30, 2018
Accepted: May. 28, 2018
Published Online: Dec. 1, 2018
The Author Email: Yang Ping (pingyang2516@163.com)
DOI:
10.3788/LOP55.111004
Recommended Topics
laser devices and laser physics
Lasers and Laser Optics
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laser manufacturing
Instrumentation, Measurement and Metrology
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