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Title: Phase retrieval for Bragg coherent diffraction imaging at high x-ray energies

Abstract

Coherent x-ray beams with energies ≥ 50 keV can potentially enable three-dimensional imaging of atomic lattice distortion fields within individual crystallites in bulk polycrystalline materials through Bragg coherent diffraction imaging (BCDI). However, the undersampling of the diffraction signal due to Fourier-space compression at high x-ray energies renders conventional phase-retrieval algorithms unsuitable for three-dimensional reconstruction. To address this problem, we utilize a phase-retrieval method with a Fourier constraint specifically tailored for undersampled diffraction data measured with coarse-pitched detector pixels that bin the underlying signal. With our approach, we show that it is possible to reconstruct three-dimensional strained crystallites from an undersampled Bragg diffraction data set subject to pixel-area integration without having to physically upsample the diffraction signal. Using simulations and experimental results, we demonstrate that explicit modeling of Fourier-space compression during phase retrieval provides a viable means by which to invert high-energy BCDI data, which is otherwise intractable.

Authors:
 [1];  [2];  [3];  [3];  [3];  [3];  [3];  [4];  [1]
+ Show Author Affiliations
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  2. Aix-Marseille Univ., Marseille (France); National Centre for Scientific Research (CNRS), Paris (France)
  3. Argonne National Lab. (ANL), Argonne, IL (United States). X-ray Sciences Division
  4. Argonne National Lab. (ANL), Argonne, IL (United States). Mathematics and Computer Science Division
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1526256
Alternate Identifier(s):
OSTI ID: 1515573
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 99; Journal Issue: 5; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Maddali, S., Allain, M., Cha, W., Harder, R., Almer, J., Kenesei, P., Park, J. -S., Nashed, Y., and Hruszkewycz, S. O. Phase retrieval for Bragg coherent diffraction imaging at high x-ray energies. United States: N. p., 2019. Web. doi:10.1103/PhysRevA.99.053838.
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Maddali, S., Allain, M., Cha, W., Harder, R., Almer, J., Kenesei, P., Park, J. -S., Nashed, Y., & Hruszkewycz, S. O. Phase retrieval for Bragg coherent diffraction imaging at high x-ray energies. United States. https://doi.org/10.1103/PhysRevA.99.053838
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Maddali, S., Allain, M., Cha, W., Harder, R., Almer, J., Kenesei, P., Park, J. -S., Nashed, Y., and Hruszkewycz, S. O. Thu . "Phase retrieval for Bragg coherent diffraction imaging at high x-ray energies". United States. https://doi.org/10.1103/PhysRevA.99.053838. https://www.osti.gov/servlets/purl/1526256.
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@article{osti_1526256,
title = {Phase retrieval for Bragg coherent diffraction imaging at high x-ray energies},
author = {Maddali, S. and Allain, M. and Cha, W. and Harder, R. and Almer, J. and Kenesei, P. and Park, J. -S. and Nashed, Y. and Hruszkewycz, S. O.},
abstractNote = {Coherent x-ray beams with energies ≥ 50 keV can potentially enable three-dimensional imaging of atomic lattice distortion fields within individual crystallites in bulk polycrystalline materials through Bragg coherent diffraction imaging (BCDI). However, the undersampling of the diffraction signal due to Fourier-space compression at high x-ray energies renders conventional phase-retrieval algorithms unsuitable for three-dimensional reconstruction. To address this problem, we utilize a phase-retrieval method with a Fourier constraint specifically tailored for undersampled diffraction data measured with coarse-pitched detector pixels that bin the underlying signal. With our approach, we show that it is possible to reconstruct three-dimensional strained crystallites from an undersampled Bragg diffraction data set subject to pixel-area integration without having to physically upsample the diffraction signal. Using simulations and experimental results, we demonstrate that explicit modeling of Fourier-space compression during phase retrieval provides a viable means by which to invert high-energy BCDI data, which is otherwise intractable.},
doi = {10.1103/PhysRevA.99.053838},
journal = {Physical Review A},
number = 5,
volume = 99,
place = {United States},
year = {Thu May 23 00:00:00 EDT 2019},
month = {Thu May 23 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/PhysRevA.99.053838
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