Holographic phase retrieval and reference design

David A. Barmherzig, Ju Sun, Po Nan Li, T. J. Lane, Emmanuel J. Candès

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


A general mathematical framework and recovery algorithm is presented for the holographic phase retrieval problem. In this problem, which arises in holographic coherent diffraction imaging, a 'reference' portion of the signal to be recovered via phase retrieval is a priori known from experimental design. A generic formula is also derived for the expected recovery error when the measurement data is corrupted by Poisson shot noise. This facilitates an optimization perspective towards reference design and analysis. We employ this optimization perspective towards quantifying the performance of various reference choices.

Original languageEnglish (US)
Article number094001
JournalInverse Problems
Issue number9
StatePublished - Aug 20 2019

Bibliographical note

Publisher Copyright:
© 2019 IOP Publishing Ltd.


  • coherent diffraction imaging
  • holography
  • optimization
  • phase retrieval


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