Abstract
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 â € diffraction before destructionâ € 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.
| Original language | English |
|---|---|
| Article number | 10820 |
| Journal | Nature Communications |
| Volume | 7 |
| DOIs | |
| Publication status | Published - Feb 22 2016 |
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ASJC Scopus subject areas
- Biochemistry, Genetics and Molecular Biology(all)
- Chemistry(all)
- Physics and Astronomy(all)
Cite this
Direct single-shot phase retrieval from the diffraction pattern of separated objects. / Leshem, Ben; Xu, Rui; Dallal, Yehonatan; Miao, Jianwei; Nadler, Boaz; Oron, Dan; Dudovich, Nirit; Raz, Oren.
In: Nature Communications, Vol. 7, 10820, 22.02.2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Direct single-shot phase retrieval from the diffraction pattern of separated objects
AU - Leshem, Ben
AU - Xu, Rui
AU - Dallal, Yehonatan
AU - Miao, Jianwei
AU - Nadler, Boaz
AU - Oron, Dan
AU - Dudovich, Nirit
AU - Raz, Oren
PY - 2016/2/22
Y1 - 2016/2/22
N2 - 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 â € diffraction before destructionâ € 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.
AB - 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 â € diffraction before destructionâ € 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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U2 - 10.1038/ncomms10820
DO - 10.1038/ncomms10820
M3 - Article
VL - 7
JO - Nature Communications
JF - Nature Communications
SN - 2041-1723
M1 - 10820
ER -