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

10 Scopus citations

Abstract

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
Volume35
Issue number9
DOIs
StatePublished - Aug 20 2019
Externally publishedYes

Keywords

  • coherent diffraction imaging
  • holography
  • optimization
  • phase retrieval

Fingerprint Dive into the research topics of 'Holographic phase retrieval and reference design'. Together they form a unique fingerprint.

Cite this