Direct single-shot phase retrieval from the diffraction pattern of separated objects

Ben Leshem, Rui Xu, Yehonatan Dallal, Jianwei Miao, Boaz Nadler, Dan Oron, Nirit Dudovich, Oren Raz

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 languageEnglish
Article number10820
JournalNature Communications
Volume7
DOIs
Publication statusPublished - Feb 22 2016

Fingerprint

X ray lasers
Free electron lasers
free electron lasers
Diffraction patterns
shot
retrieval
Lasers
Holography
diffraction patterns
X-Rays
Electrons
Imaging techniques
linear equations
Linear equations
holography
Nanoparticles
destruction
Laser pulses
x rays
Diffraction

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 journalArticle

Leshem, Ben ; Xu, Rui ; Dallal, Yehonatan ; Miao, Jianwei ; Nadler, Boaz ; Oron, Dan ; Dudovich, Nirit ; Raz, Oren. / Direct single-shot phase retrieval from the diffraction pattern of separated objects. In: Nature Communications. 2016 ; Vol. 7.
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