Proper orthogonal and dynamic mode decomposition of sunspot data

Albidah, AB, Brevis, W, Fedun, V, Ballai, I, Jess, DB, Stangalini, M, Higham, J ORCID: 0000-0001-7577-0913 and Verth, G
(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-.

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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. This article is part of the Theo Murphy meeting issue 'High-resolution wave dynamics in the lower solar atmosphere'.

Item Type: Article
Uncontrolled Keywords: magnetohydrodynamic, proper orthogonal decomposition, dynamic mode decomposition, sunspots, waves
Divisions: Faculty of Science and Engineering > School of Environmental Sciences
Depositing User: Symplectic Admin
Date Deposited: 28 Apr 2021 15:11
Last Modified: 18 Jan 2023 22:50
DOI: 10.1098/rsta.2020.0181
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