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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-...
Autores principales: | , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2016
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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. |
format | Online Article Text |
id | pubmed-4764927 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
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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