Adjustable frequency filtering and weighted feedback for iterative phase retrieval under noisy conditions. (January 2020)

• Record Type: Journal Article
• Authors: Zhai, Yulan; Guo, Cheng; Zhang, Feilong; Tan, Jiubin; Shen, Cheng; Blondel, Walter; Liu, Shutian; Tan, Cuimei; Liu, Zhengjun
• Is Part Of: Optics and lasers in engineering. Volume 124(2020)
• Publication Date: 2020-01
• Subjects: Phase retrieval -- Noise robustness -- Adjustable frequency filtering; Lasers in engineering -- Periodicals; Optical measurements -- Periodicals; Optics -- Periodicals; Lasers en ingénierie -- Périodiques; Mesures optiques -- Périodiques; Optique -- Périodiques; 621.36605
• DOI: 10.1016/j.optlaseng.2019.105808
• Languages: English
• ISSNs: 0143-8166

Abstract

Highlights: A robust noise reduction algorithm of phase retrieval is designed with weighted feedback and adjustable frequency filtering. Measurement load and iteration calculation can be decreased for noisy images. This work promotes the application of iterative phase retrieval in noisy conditions. 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.