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

Yulan Zhai (1, 2) , Cheng Guo (1, 2) , Feilong Zhang (1, 2) , Jiubin Tan (1, 2) , Shen Cheng (3) , Walter Blondel (4) , Shutian Liu (5) , Cuimei Tan (6) , Zhengjun Liu (1, 2)

1 Center of Ultra-precision Optoelectronic Instrument Engineering, Harbin Institute of Technology, Harbin, 150080, China
2 Key Lab of Ultra-precision Intelligent Instrumentation, Harbin Institute of Technology, Ministry of Industry and Information Technology, Harbin, 150080, China
3 Department of Electrical Engineering, California Institute of Technology, Pasadena, CA 91125, USA
4 CRAN - Centre de Recherche en Automatique de Nancy
5 Department of Physics, Harbin Institute of Technology, Harbin, 150001, China
6 Guangdong Provincial Key Laboratory of Modern Geometric and Mechanical Metrology Technology, Guangdong Institute of Metrology, Guangzhou, 510405, China

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.

Mots clés: Phase retrieval; Noise robustness; Adjustable frequency filtering

Domaines: Traitement du signal et de l'image [eess.SP]; Imagerie; Optique / photonique

Yulan Zhai, Cheng Guo, Feilong Zhang, Jiubin Tan, Shen Cheng, et al.. Adjustable frequency filtering and weighted feedback for iterative phase retrieval under noisy conditions. Optics and Lasers in Engineering, 2020, 124, pp.105808. ⟨10.1016/j.optlaseng.2019.105808⟩. ⟨hal-03018534⟩