Albidah, A.B., Brevis, W., Fedun, V. et al. (5 more authors) (2021) Proper orthogonal and dynamic mode decomposition of sunspot data. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379 (2190). 20200181. ISSN 1364-503X
Abstract
High-resolution solar observations show the complex structure of the magnetohydrodynamic (MHD) wave motion. We apply the techniques of proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) to identify the dominant MHD wave modes in a sunspot using the intensity time series. The POD technique was used to find modes that are spatially orthogonal, whereas the DMD technique identifies temporal orthogonality. Here, we show that the combined POD and DMD approaches can successfully identify both sausage and kink modes in a sunspot umbra with an approximately circular cross-sectional shape.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020 The Author(s). Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
Keywords: | magnetohydrodynamic; proper orthogonal decomposition; dynamic mode decomposition; sunspots; waves |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number The Royal Society IES\R1\191114 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 29 Oct 2020 07:48 |
Last Modified: | 13 Jan 2021 08:13 |
Status: | Published |
Publisher: | The Royal Society |
Refereed: | Yes |
Identification Number: | 10.1098/rsta.2020.0181 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:167362 |