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

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-...

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Autores principales: Leshem, Ben, Xu, Rui, Dallal, Yehonatan, Miao, Jianwei, Nadler, Boaz, Oron, Dan, Dudovich, Nirit, Raz, Oren
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4764927/
https://www.ncbi.nlm.nih.gov/pubmed/26899582
http://dx.doi.org/10.1038/ncomms10820
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author Leshem, Ben
Xu, Rui
Dallal, Yehonatan
Miao, Jianwei
Nadler, Boaz
Oron, Dan
Dudovich, Nirit
Raz, Oren
author_facet Leshem, Ben
Xu, Rui
Dallal, Yehonatan
Miao, Jianwei
Nadler, Boaz
Oron, Dan
Dudovich, Nirit
Raz, Oren
author_sort Leshem, Ben
collection PubMed
description 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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spelling pubmed-47649272016-03-04 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 Nat Commun Article 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. Nature Publishing Group 2016-02-22 /pmc/articles/PMC4764927/ /pubmed/26899582 http://dx.doi.org/10.1038/ncomms10820 Text en Copyright © 2016, Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved. http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
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
title Direct single-shot phase retrieval from the diffraction pattern of separated objects
title_full Direct single-shot phase retrieval from the diffraction pattern of separated objects
title_fullStr Direct single-shot phase retrieval from the diffraction pattern of separated objects
title_full_unstemmed Direct single-shot phase retrieval from the diffraction pattern of separated objects
title_short Direct single-shot phase retrieval from the diffraction pattern of separated objects
title_sort direct single-shot phase retrieval from the diffraction pattern of separated objects
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4764927/
https://www.ncbi.nlm.nih.gov/pubmed/26899582
http://dx.doi.org/10.1038/ncomms10820
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