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
N1 - Funding Information:
D.O. and N.D. acknowledge support from the Israeli Centers of Research Excellence programme and the Crown photonics center. N.D. acknowledges support by the Israeli Science Foundation and the Minerva Foundation. N.D. acknowledges support by the European Research Council starting investigator grant MIDAS. D.O. acknowledges support by the European Research Council starting investigator grant SINSLIM 258221. B.N. acknowledges support by the Israeli Science Foundation. J.M. acknowledges the support by the DARPA PULSE programme through a grant from AMRDEC and by the Office of Basic Energy Sciences of the US Department of Energy (DE-SC0010378). O.R. acknowledges the financial support of the James S. McDonnell foundation. The XFEL diffraction patterns were measured from the SPring-8 Angstrom Compact Free Electron Laser (SACLA) in Japan.
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
AN - SCOPUS:84959019132
VL - 7
JO - Nature Communications
JF - Nature Communications
SN - 2041-1723
M1 - 10820
ER -