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

S. Maddali, M. Allain, W. Cha, R. Harder, J.-S. Park, P. Kenesei, J. Almer, Y. Nashed, and S. O. Hruszkewycz
Phys. Rev. A 99, 053838 – Published 23 May 2019

Abstract

Coherent x-ray beams with energies 50keV 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.

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  • Received 16 November 2018

DOI:https://doi.org/10.1103/PhysRevA.99.053838

©2019 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

S. Maddali1,*, M. Allain2, W. Cha3, R. Harder3, J.-S. Park3, P. Kenesei3, J. Almer3, Y. Nashed4, and S. O. Hruszkewycz1

  • 1Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
  • 2Aix Marseille Univ, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France
  • 3X-ray Sciences Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
  • 4Mathematics and Computer Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA

  • *smaddali@anl.gov

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Issue

Vol. 99, Iss. 5 — May 2019

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