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

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

Journal Article · · Physical Review A
 [1];  [2];  [3];  [3];  [3];  [3];  [3];  [4];  [1]
  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
+ Show Author Affiliations

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.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1526256
Alternate ID(s):
OSTI ID: 1515573
Journal Information:
Physical Review A, Vol. 99, Issue 5; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

References (29)

Simultaneous sample and spatial coherence characterisation using diffractive imaging journal October 2011
Diffraction-limited storage rings – a window to the science of tomorrow journal August 2014
Synchrotron beam coherence: a spatially resolved measurement journal January 2005
Upsampling speckle patterns for coherent X-ray diffraction imaging journal March 2013
Reciprocal-space up-sampling from real-space oversampling in x-ray ptychography journal April 2014
Maximum-likelihood refinement for coherent diffractive imaging journal June 2012
Unconstrained Optimization of Real Functions in Complex Variables journal January 2012
Coherent X-ray diffraction imaging of strain at the nanoscale journal April 2009
Measuring Three-Dimensional Strain and Structural Defects in a Single InGaAs Nanowire Using Coherent X-ray Multiangle Bragg Projection Ptychography journal January 2018
Performance evaluation of Bragg coherent diffraction imaging journal October 2017
Bragg coherent diffractive imaging of single-grain defect dynamics in polycrystalline films journal May 2017
High-resolution three-dimensional partially coherent diffraction imaging journal January 2012
Quantitative Nanoscale Imaging of Lattice Distortions in Epitaxial Semiconductor Heterostructures Using Nanofocused X-ray Bragg Projection Ptychography journal September 2012
Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint journal January 1987
Far-field high-energy diffraction microscopy: a tool for intergranular orientation and strain analysis journal July 2011
Sparse recovery of undersampled intensity patterns for coherent diffraction imaging at high X-ray energies journal March 2018
Noise models for low counting rate coherent diffraction imaging journal January 2012
Diffractive Imaging Using Partially Coherent X Rays journal December 2009
X-ray diffraction contrast tomography: a novel technique for three-dimensional grain mapping of polycrystals. I. Direct beam case journal March 2008
Identifying Defects with Guided Algorithms in Bragg Coherent Diffractive Imaging journal August 2017
Enhancing resolution in coherent x-ray diffraction imaging journal October 2016
Biomolecular imaging and electronic damage using X-ray free-electron lasers journal December 2010
Invited Article: A unified evaluation of iterative projection algorithms for phase retrieval journal January 2007
Reconstruction of the Shapes of Gold Nanocrystals Using Coherent X-Ray Diffraction journal October 2001
Dynamic diffraction artefacts in Bragg coherent diffractive imaging journal February 2018
Numerical study of Bragg CDI on thick polycrystalline specimens journal January 2018
Efficient concentration of high-energy x-rays for diffraction-limited imaging resolution journal January 2017
Probing Microstructure Dynamics With X-Ray Diffraction Microscopy journal March 2008
X-ray image reconstruction from a diffraction pattern alone journal October 2003

Similar Records

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS