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Title: Impact and mitigation of angular uncertainties in Bragg coherent x-ray diffraction imaging

Abstract

Bragg coherent diffraction imaging (BCDI) is a powerful technique to explore the local strain state and morphology of microscale crystals. The method can potentially reach nanometer-scale spatial resolution thanks to the advances in synchrotron design that dramatically increase coherent flux. However, there are experimental bottlenecks that may limit the image reconstruction quality from future high signal-to-noise ratio measurements. In this work we show that angular uncertainty of the sample orientation with respect to a fixed incoming beam is one example of such a factor, and we present a method to mitigate the resulting artifacts. On the basis of an alternative formulation of the forward problem, we design a phase retrieval algorithm which enables the simultaneous reconstruction of the object and determination of the exact angular position corresponding to each diffraction pattern in the data set. We have tested the algorithm performance on simulated data for different degrees of angular uncertainty and signal-to-noise ratio.

Authors:
 [1];  [2];  [1];  [2];  [1]
  1. Argonne National Lab. (ANL), Lemont, IL (United States)
  2. Centre National de la Recherche Scientifique (CNRS), Marseille (France)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
European Research Council (ERC); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1510725
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 9; Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Calvo-Almazán, I., Allain, M., Maddali, S., Chamard, V., and Hruszkewycz, S. O. Impact and mitigation of angular uncertainties in Bragg coherent x-ray diffraction imaging. United States: N. p., 2019. Web. doi:10.1038/s41598-019-42797-4.
Calvo-Almazán, I., Allain, M., Maddali, S., Chamard, V., & Hruszkewycz, S. O. Impact and mitigation of angular uncertainties in Bragg coherent x-ray diffraction imaging. United States. doi:10.1038/s41598-019-42797-4.
Calvo-Almazán, I., Allain, M., Maddali, S., Chamard, V., and Hruszkewycz, S. O. Tue . "Impact and mitigation of angular uncertainties in Bragg coherent x-ray diffraction imaging". United States. doi:10.1038/s41598-019-42797-4. https://www.osti.gov/servlets/purl/1510725.
@article{osti_1510725,
title = {Impact and mitigation of angular uncertainties in Bragg coherent x-ray diffraction imaging},
author = {Calvo-Almazán, I. and Allain, M. and Maddali, S. and Chamard, V. and Hruszkewycz, S. O.},
abstractNote = {Bragg coherent diffraction imaging (BCDI) is a powerful technique to explore the local strain state and morphology of microscale crystals. The method can potentially reach nanometer-scale spatial resolution thanks to the advances in synchrotron design that dramatically increase coherent flux. However, there are experimental bottlenecks that may limit the image reconstruction quality from future high signal-to-noise ratio measurements. In this work we show that angular uncertainty of the sample orientation with respect to a fixed incoming beam is one example of such a factor, and we present a method to mitigate the resulting artifacts. On the basis of an alternative formulation of the forward problem, we design a phase retrieval algorithm which enables the simultaneous reconstruction of the object and determination of the exact angular position corresponding to each diffraction pattern in the data set. We have tested the algorithm performance on simulated data for different degrees of angular uncertainty and signal-to-noise ratio.},
doi = {10.1038/s41598-019-42797-4},
journal = {Scientific Reports},
number = 1,
volume = 9,
place = {United States},
year = {2019},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
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Citation Metrics:
Cited by: 3 works
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Figures / Tables:

Figure 1 Figure 1: Panel (a) A strained nanocrystal is shown illuminated by a coherent x-ray beam in a symmetric Bragg scattering geometry denoted by the vector $\vec{G}$HKL. The color scale of the nanocrystal surface corresponds to the heterogeneous phase field ∅ ($\vec{r}$ ) which encodes the displacement field $\vec{u}$ ($\vec{r}$) inmore » the direction of $\vec{G}$HKL according to ∅ = $\vec{G}$HKL $\centerdot$ $\vec{u}$1-3. The effect of the rocking of the sample by an angle Δθj is displayed in panel (b). The $\hat{θ}$ direction corresponds to the direction of the vector $\vec{Δ}$j which links the position of the two slices.« less

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    Works referencing / citing this record:

    Coherent Bragg imaging of 60 nm Au nanoparticles under electrochemical control at the NanoMAX beamline
    journal, August 2019

    • Björling, Alexander; Carbone, Dina; Sarabia, Francisco J.
    • Journal of Synchrotron Radiation, Vol. 26, Issue 5
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