Photon-limited bounds for phase retrieval.

Journal Article (Journal Article)

We show that the optimal Cramér-Rao lower bound on the mean-square error for the estimation of a coherent signal from photon-limited intensity measurements is equal to the number of signal elements, or the number of signal elements minus one when we account for the unobservable reference phase. Whereas this bound is attained by phase-quadrature holography, we also show that it can be attained through a phase-retrieval system that does not require a coherent reference. We also present the bounds for classic phase-retrieval and ptychography, and show that practical coding strategies can approach optimal performance.

Full Text

Duke Authors

Cited Authors

  • Schulz, TJ; Brady, DJ; Wang, C

Published Date

  • May 1, 2021

Published In

Volume / Issue

  • 29 / 11

Start / End Page

  • 16736 - 16748

PubMed ID

  • 34154230

Electronic International Standard Serial Number (EISSN)

  • 1094-4087

International Standard Serial Number (ISSN)

  • 1094-4087

Digital Object Identifier (DOI)

  • 10.1364/oe.425796


  • eng