skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies

Abstract

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. Lastly, we use simulated BCDI data sets to demonstrate the approach, outline our sparse recovery strategy, and comment on future opportunities.

Authors:
ORCiD logo [1];  [1];  [2];  [2];  [2];  [2];  [3];  [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  2. Argonne National Lab. (ANL), Argonne, IL (United States). 2X-ray Sciences Division
  3. Argonne National Lab. (ANL), Argonne, IL (United States). Mathematics & Computer Science Division; Northwestern Univ., Evanston, IL (United States). Dept. of Electrical Engineering & Computer Science
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1433004
Grant/Contract Number:
AC02-06CH11357
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 8; Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY

Citation Formats

Maddali, S., Calvo-Almazan, I., Almer, J., Kenesei, P., Park, J. -S., Harder, R., Nashed, Y., and Hruszkewycz, S. O.. Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies. United States: N. p., 2018. Web. doi:10.1038/s41598-018-23040-y.
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. United States. doi:10.1038/s41598-018-23040-y.
Maddali, S., Calvo-Almazan, I., Almer, J., Kenesei, P., Park, J. -S., Harder, R., Nashed, Y., and Hruszkewycz, S. O.. Wed . "Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies". United States. doi:10.1038/s41598-018-23040-y. https://www.osti.gov/servlets/purl/1433004.
@article{osti_1433004,
title = {Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies},
author = {Maddali, S. and Calvo-Almazan, I. and Almer, J. and Kenesei, P. and Park, J. -S. and Harder, R. and Nashed, Y. and Hruszkewycz, S. O.},
abstractNote = {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. Lastly, we use simulated BCDI data sets to demonstrate the approach, outline our sparse recovery strategy, and comment on future opportunities.},
doi = {10.1038/s41598-018-23040-y},
journal = {Scientific Reports},
number = 1,
volume = 8,
place = {United States},
year = {Wed Mar 21 00:00:00 EDT 2018},
month = {Wed Mar 21 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share: