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’.

中文翻译：

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太阳黑子数据的正确正交和动态模式分解

高分辨率太阳观测显示磁流体动力学 (MHD) 波动的复杂结构。我们应用适当的正交分解 (POD) 和动态模式分解 (DMD) 技术来使用强度时间序列识别太阳黑子中的主要 MHD 波模式。POD 技术用于寻找空间正交的模式，而 DMD 技术用于识别时间正交性。在这里，我们展示了结合 POD 和 DMD 方法可以成功地识别具有近似圆形横截面形状的太阳黑子本影中的香肠和扭结模式。本文是 Theo Murphy 会议问题“低太阳大气中的高分辨率波浪动力学”的一部分。