28 September 2017 Robust phase retrieval of complex-valued object in phase modulation by hybrid Wirtinger flow method
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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.
© 2017 Society of Photo-Optical Instrumentation Engineers (SPIE)
Zhun Wei, Wen Chen, Tiantian Yin, 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 . Submission: Received: 10 June 2017; Accepted: 8 September 2017
Received: 10 June 2017; Accepted: 8 September 2017; Published: 28 September 2017
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