期刊
NATURE COMMUNICATIONS
卷 7, 期 -, 页码 -出版社
NATURE PUBLISHING GROUP
DOI: 10.1038/ncomms10820
关键词
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资金
- Israeli Centers of Research Excellence programme
- Crown photonics center
- Israeli Science Foundation
- Minerva Foundation
- European Research Council starting investigator grant MIDAS
- European Research Council starting investigator grant SINSLIM [258221]
- DARPA PULSE programme through a grant from AMRDEC
- Office of Basic Energy Sciences of the US Department of Energy [DE-SC0010378]
- James S. McDonnell foundation
- European Research Council (ERC) [258221] Funding Source: European Research Council (ERC)
- U.S. Department of Energy (DOE) [DE-SC0010378] Funding Source: U.S. Department of Energy (DOE)
The non-crystallographic phase problem arises in numerous scientific and technological fields. An important application is coherent diffractive imaging. Recent advances in X-ray free-electron lasers allow capturing of the diffraction pattern from a single nanoparticle before it disintegrates, in so-called 'diffraction before destruction' experiments. Presently, the phase is reconstructed by iterative algorithms, imposing a non-convex computational challenge, or by Fourier holography, requiring a well-characterized reference field. Here we present a convex scheme for single-shot phase retrieval for two (or more) sufficiently separated objects, demonstrated in two dimensions. In our approach, the objects serve as unknown references to one another, reducing the phase problem to a solvable set of linear equations. We establish our method numerically and experimentally in the optical domain and demonstrate a proof-of-principle single-shot coherent diffractive imaging using X-ray free-electron lasers pulses. Our scheme alleviates several limitations of current methods, offering a new pathway towards direct reconstruction of complex objects.
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