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Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies
Coherent X-ray photons with energies higher than 50 keV offer new possibilities for imaging nanoscale lattice distortions in bulk crystalline materials using Bragg peak phase retrieval methods. However, the compression of reciprocal space at high energies typically results in poorly resolved fringes...
Autores principales: | , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5862902/ https://www.ncbi.nlm.nih.gov/pubmed/29563508 http://dx.doi.org/10.1038/s41598-018-23040-y |
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author | Maddali, S. Calvo-Almazan, I. Almer, J. Kenesei, P. Park, J.-S. Harder, R. Nashed, Y. Hruszkewycz, S. O. |
author_facet | Maddali, S. Calvo-Almazan, I. Almer, J. Kenesei, P. Park, J.-S. Harder, R. Nashed, Y. Hruszkewycz, S. O. |
author_sort | Maddali, S. |
collection | PubMed |
description | Coherent X-ray photons with energies higher than 50 keV offer new possibilities for imaging nanoscale lattice distortions in bulk crystalline materials using Bragg peak phase retrieval methods. However, the compression of reciprocal space at high energies typically results in poorly resolved fringes on an area detector, rendering the diffraction data unsuitable for the three-dimensional reconstruction of compact crystals. To address this problem, we propose a method by which to recover fine fringe detail in the scattered intensity. This recovery is achieved in two steps: multiple undersampled measurements are made by in-plane sub-pixel motion of the area detector, then this data set is passed to a sparsity-based numerical solver that recovers fringe detail suitable for standard Bragg coherent diffraction imaging (BCDI) reconstruction methods of compact single crystals. The key insight of this paper is that sparsity in a BCDI data set can be enforced by recognising that the signal in the detector, though poorly resolved, is band-limited. This requires fewer in-plane detector translations for complete signal recovery, while adhering to information theory limits. We use simulated BCDI data sets to demonstrate the approach, outline our sparse recovery strategy, and comment on future opportunities. |
format | Online Article Text |
id | pubmed-5862902 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-58629022018-03-27 Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies Maddali, S. Calvo-Almazan, I. Almer, J. Kenesei, P. Park, J.-S. Harder, R. Nashed, Y. Hruszkewycz, S. O. Sci Rep Article Coherent X-ray photons with energies higher than 50 keV offer new possibilities for imaging nanoscale lattice distortions in bulk crystalline materials using Bragg peak phase retrieval methods. However, the compression of reciprocal space at high energies typically results in poorly resolved fringes on an area detector, rendering the diffraction data unsuitable for the three-dimensional reconstruction of compact crystals. To address this problem, we propose a method by which to recover fine fringe detail in the scattered intensity. This recovery is achieved in two steps: multiple undersampled measurements are made by in-plane sub-pixel motion of the area detector, then this data set is passed to a sparsity-based numerical solver that recovers fringe detail suitable for standard Bragg coherent diffraction imaging (BCDI) reconstruction methods of compact single crystals. The key insight of this paper is that sparsity in a BCDI data set can be enforced by recognising that the signal in the detector, though poorly resolved, is band-limited. This requires fewer in-plane detector translations for complete signal recovery, while adhering to information theory limits. We use simulated BCDI data sets to demonstrate the approach, outline our sparse recovery strategy, and comment on future opportunities. Nature Publishing Group UK 2018-03-21 /pmc/articles/PMC5862902/ /pubmed/29563508 http://dx.doi.org/10.1038/s41598-018-23040-y Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Maddali, S. Calvo-Almazan, I. Almer, J. Kenesei, P. Park, J.-S. Harder, R. Nashed, Y. Hruszkewycz, S. O. Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies |
title | Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies |
title_full | Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies |
title_fullStr | Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies |
title_full_unstemmed | Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies |
title_short | Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies |
title_sort | sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high x-ray energies |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5862902/ https://www.ncbi.nlm.nih.gov/pubmed/29563508 http://dx.doi.org/10.1038/s41598-018-23040-y |
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