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Adjustable frequency filtering and weighted feedback for iterative phase retrieval under noisy conditions

Zhai, Yulan and Guo, Cheng and Zhang, Feilong and Tan, Jiubin and Shen, Cheng and Blondel, Walter and Liu, Shutian and Tan, Cuimei and Liu, Zhengjun (2020) Adjustable frequency filtering and weighted feedback for iterative phase retrieval under noisy conditions. Optics and Lasers in Engineering, 124 . Art. No. 105808. ISSN 0143-8166. https://resolver.caltech.edu/CaltechAUTHORS:20191007-114918858

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Abstract

In coherent diffraction imaging (CDI) systems, the results of phase retrieval could be deteriorated by the inevitable experimental noise. To address the problem, a noise-robust algorithm is designed with weighted feedback and adjustable frequency filtering. The frequency filter serves as the smoothness constraint and has an adaptive parameter during iterations, to suppress the noise as well as avoid the convergence stagnancy of iterative phase retrieval. Numerical simulations and experimental results demonstrate that the proposed algorithm is superior in reconstruction quality under noisy conditions and increases the convergence speed. Furthermore, the minimum acceptable number of measurements of diffracting images is reduced. This work is beneficial to data synthesis in CDI systems.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.optlaseng.2019.105808DOIArticle
ORCID:
AuthorORCID
Liu, Shutian0000-0001-9748-0175
Liu, Zhengjun0000-0003-2886-8496
Additional Information:© 2019 Elsevier Ltd. Received 10 April 2019, Revised 15 July 2019, Accepted 16 July 2019, Available online 27 July 2019. This work was supported by the National Natural Science Foundation of China (nos. 61575055, 61575053, and 11874132), and Open Fund Project Foundation of Guangdong Provincial Key Laboratory of Modern Geometric and Mechanical Metrology Technology (SCMKF201804). The authors are indebted to two reviewers for helpful comments and suggestions. The authors also warmly thank Dr. Hang Chen for his help.
Funders:
Funding AgencyGrant Number
National Natural Science Foundation of China61575055
National Natural Science Foundation of China61575053
National Natural Science Foundation of China11874132
Guangdong Provincial Key Laboratory of Modern Geometric and Mechanical Metrology TechnologySCMKF201804
Subject Keywords:Phase retrieval; Noise robustness; Adjustable frequency filtering
Record Number:CaltechAUTHORS:20191007-114918858
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20191007-114918858
Official Citation:Yulan Zhai, Cheng Guo, Feilong Zhang, Jiubin Tan, Cheng Shen, Walter Blondel, Shutian Liu, Cuimei Tan, Zhengjun Liu, Adjustable frequency filtering and weighted feedback for iterative phase retrieval under noisy conditions, Optics and Lasers in Engineering, Volume 124, 2020, 105808, ISSN 0143-8166, https://doi.org/10.1016/j.optlaseng.2019.105808. (http://www.sciencedirect.com/science/article/pii/S0143816619304713)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:99113
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Oct 2019 19:57
Last Modified:07 Oct 2019 19:57

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