Holographic Phase Retrieval and Reference Design
arXiv:1901.06453 · doi:10.1088/1361-6420/ab23d1
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.
arXiv comment27 pages, 10 figures
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Cited by in corpus (9)
- The Numerics of Phase Retrieval
- Phase Retrieval for Partially Coherent Observations
- Towards Low-Photon Nanoscale Imaging: Holographic Phase Retrieval via Maximum Likelihood Optimization
- Variational Inference for Computational Imaging Inverse Problems
- Phase Retrieval with Holography and Untrained Priors: Tackling the Challenges of Low-Photon Nanoscale Imaging
- Don't take it lightly: Phasing optical random projections with unknown operators
- Toward a mathematical theory of the crystallographic phase retrieval problem
- Dual-Reference Design for Holographic Coherent Diffraction Imaging
- Hybrid real- and reciprocal-space full-field imaging with coherent illumination