Scanning electron diffraction tomography of strain
Authors
Johnstone, Duncan N
Collins, Sean M
Lionheart, William RB
Midgley, Paul A
Benning, Martin
Schönlieb, Carola-Bibiane
Publication Date
2021Journal Title
Inverse Problems
ISSN
0266-5611
Publisher
IOP Publishing
Volume
37
Issue
1
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Tovey, R., Johnstone, D. N., Collins, S. M., Lionheart, W. R., Midgley, P. A., Benning, M., & Schönlieb, C. (2021). Scanning electron diffraction tomography of strain. Inverse Problems, 37 (1) https://doi.org/10.1088/1361-6420/abc961
Abstract
Strain engineering is used to obtain desirable materials properties in a range of modern technologies. Direct nanoscale measurement of the three-dimensional strain tensor field within these materials has however been limited by a lack of suitable experimental techniques and data analysis tools. Scanning electron diffraction has emerged as a powerful tool for obtaining two-dimensional maps of strain components perpendicular to the incident electron beam direction. Extension of this method to recover the full three-dimensional strain tensor field has been restricted though by the absence of a formal framework for tensor tomography using such data. Here, we show that it is possible to reconstruct the full non-symmetric strain tensor field as the solution to an ill-posed tensor tomography inverse problem. We then demonstrate the properties of this tomography problem both analytically and computationally, highlighting why incorporating precession to perform scanning precession electron diffraction may be important. We establish a general framework for non-symmetric tensor tomography and demonstrate computationally its applicability for achieving strain tomography with scanning precession electron diffraction data.
Keywords
Paper, transverse ray transform, computed tomography, tensor tomography, scanning precession electron diffraction, 4D-STEM, strain mapping, strain tomography
Sponsorship
Engineering and Physical Sciences Research Council (EP/M00483X/1)
Engineering and Physical Sciences Research Council (EP/L016516/1)
Engineering and Physical Sciences Research Council (EP/N014588/1)
Engineering and Physical Sciences Research Council (EP/R008779/1)
European Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (777826)
Identifiers
ipabc961, abc961, ip-102822.r1
External DOI: https://doi.org/10.1088/1361-6420/abc961
This record's URL: https://www.repository.cam.ac.uk/handle/1810/333241
Rights
Licence:
https://creativecommons.org/licenses/by/4.0/
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