Robust phase retrieval of complex-valued object in phase modulation by hybrid Wirtinger flow method

Zhun Wei; Wen Chen; Tiantian Yin; Xudong Chen

doi:10.1117/1.OE.56.9.093106

28 September 2017 Robust phase retrieval of complex-valued object in phase modulation by hybrid Wirtinger flow method

Zhun Wei, Wen Chen, Tiantian Yin, Xudong Chen

Author Affiliations +

Optical Engineering, Vol. 56, Issue 9, 093106 (September 2017). https://doi.org/10.1117/1.OE.56.9.093106

Abstract

This paper presents a robust iterative algorithm, known as hybrid Wirtinger flow (HWF), for phase retrieval (PR) of complex objects from noisy diffraction intensities. Numerical simulations indicate that the HWF method consistently outperforms conventional PR methods in terms of both accuracy and convergence rate in multiple phase modulations. The proposed algorithm is also more robust to low oversampling ratios, loose constraints, and noisy environments. Furthermore, compared with traditional Wirtinger flow, sample complexity is largely reduced. It is expected that the proposed HWF method will find applications in the rapidly growing coherent diffractive imaging field for high-quality image reconstruction with multiple modulations, as well as other disciplines where PR is needed.

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Zhun Wei, Wen Chen, Tiantian Yin, and Xudong Chen "Robust phase retrieval of complex-valued object in phase modulation by hybrid Wirtinger flow method," Optical Engineering 56(9), 093106 (28 September 2017). https://doi.org/10.1117/1.OE.56.9.093106

Received: 10 June 2017; Accepted: 8 September 2017; Published: 28 September 2017

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