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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.
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Submitted on : Friday, May 24, 2019 - 5:05:01 PM
Last modification on : Wednesday, November 3, 2021 - 5:49:26 AM

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S. Maddali, Marc Allain, W. Cha, R. Harder, S. Park, et al.. Phase retrieval for Bragg coherent diffraction imaging at high x-ray energies. Physical Review A, American Physical Society, 2019, 99 (5), pp.053838. ⟨10.1103/PhysRevA.99.053838⟩. ⟨hal-02139472⟩

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