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    Photon-limited bounds for phase retrieval

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    Author
    Schulz, T.J.
    Brady, D.J.
    Wang, C.
    Affiliation
    Wyant College of Optical Sciences, University of Arizona
    Issue Date
    2021
    
    Metadata
    Show full item record
    Publisher
    The Optical Society
    Citation
    Schulz, T. J., Brady, D. J., & Wang, C. (2021). Photon-limited bounds for phase retrieval. Optics Express, 29(11), 16736–16748.
    Journal
    Optics Express
    Rights
    Copyright © 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    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. © 2021 Optical Society of America.
    Note
    Open access journal
    ISSN
    1094-4087
    DOI
    10.1364/OE.425796
    Version
    Final published version
    ae974a485f413a2113503eed53cd6c53
    10.1364/OE.425796
    Scopus Count
    Collections
    UA Faculty Publications

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