Pontificia Universidad Católica de Chile Pontificia Universidad Católica de Chile
Albidah A. B., Brevis W., Fedun V., Ballai I., Jess D. B., Stangalini M., Higham J., Verth G. (2020)

Proper orthogonal and dynamic mode decomposition of sunspot data

Revista : Philosophical Transactions of the Royal Society A
Volumen : 379
Número : 2190
Páginas : 20200181
Tipo de publicación : ISI Ir a publicación


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.