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

Zhun Wei, Wen Chen, Tiantian Yin, Xudong Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

1 Citation (Scopus)


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.
Original languageEnglish
Article number093106
JournalOptical Engineering
Issue number9
Publication statusPublished - 1 Sep 2017


  • coherence imaging
  • computational imaging
  • phase modulation
  • phase retrieval

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering(all)

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