| SPECIAL TOPIC — Stephen J. Pennycook: A research life in atomic-resolution STEM and EELS |
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Making the link between ADF and 4D STEM: Resolution, transfer and coherence |
| Peter D. Nellist1,† and Timothy J. Pennycook2 |
1 Department of Materials, University of Oxford, Oxford, UK;
2 EMAT, University of Antwerp, Groenenborgerlaan 171, 2020 Antwerp, Belgium |
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Abstract Steve Pennycook is a pioneer in the application of high-resolution scanning transmission electron microscopy (STEM) and in particular the use of annular dark-field (ADF) imaging. Here we show how a general framework for 4D STEM allows clear links to be made between ADF imaging and the emerging methods for reconstructing images from 4D STEM data sets. We show that both ADF imaging and ptychographical reconstruction can be thought of in terms of integrating over the overlap regions of diffracted discs in the detector plane. This approach allows the similarities in parts of their transfer functions to be understood, though we note that the transfer functions for ptychographic imaging cannot be used as a measure of information transfer. We also show that conditions of partial spatial and temporal coherence affect ADF imaging and ptychography similarly, showing that achromatic interference can always contribute to the image in both cases, leading to a robustness to partial temporal coherence that has enabled high-resolution imaging.
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Received: 03 September 2024
Revised: 05 October 2024
Accepted manuscript online: 10 October 2024
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PACS:
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68.37.Ma
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(Scanning transmission electron microscopy (STEM))
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42.30.Va
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(Image forming and processing)
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42.30.Rx
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(Phase retrieval)
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87.64.Ee
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(Electron microscopy)
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| Fund: We acknowledge funding from the European Research Council (ERC) under the European Union’s Horizon 2020 Research and Innovation Programme via Grant Agreement No. 802123-HDEM (TJP) and from the UK Engineering and Physical Sciences Research Council (EPSRC) via grant EP/M010708/1 (PDN). |
Corresponding Authors:
Peter D. Nellist
E-mail: peter.nellist@materials.ox.ac.uk
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Cite this article:
Peter D. Nellist and Timothy J. Pennycook Making the link between ADF and 4D STEM: Resolution, transfer and coherence 2024 Chin. Phys. B 33 116803
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