Published September 1, 2019 | Version v1
Journal article Metadata-only

Holographic phase retrieval and reference design

Creators

  • 1. Institute for Computational and Mathematical Engineering, Stanford University, Stanford, CA 94305 (United States)
  • 2. Department of Mathematics, Stanford University, Stanford, CA 94305 (United States)
  • 3. Department of Electrical Engineering, Stanford University, Stanford, CA 94305 (United States)
  • 4. SLAC National Accelerator Laboratory, Menlo Park, CA 94025 (United States)
  • 5. Department of Mathematics and Department of Statistics, Stanford University, Stanford, CA 94305 (United States)

Description

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. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1361-6420/ab23d1

Additional details

Identifiers

DOI
10.1088/1361-6420/ab23d1;

Publishing Information

Journal Title
Inverse Problems
Journal Volume
35
Journal Issue
9
Journal Page Range
[30 p.]
ISSN
0266-5611
CODEN
INVPET

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
51080784
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGORITHMS; DIFFRACTION; HOLOGRAPHY; OPTIMIZATION; SIGNALS
Descriptors DEC
COHERENT SCATTERING; MATHEMATICAL LOGIC; SCATTERING