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Cited article:

A Statistical Analysis of Spiral-shaped Wave Patterns in Sunspot Umbrae

Juhyung Kang, Jongchul Chae and Jooyeon Geem
The Astrophysical Journal 960 (2) 115 (2024)
https://doi.org/10.3847/1538-4357/ad12c3

Origin of the Chromospheric Umbral Waves in Sunspots

Xinsheng Zhang, Xiaoli Yan, Zhike Xue, Jincheng Wang, Zhe Xu, Qiaoling Li, Yang Peng and Liping Yang
Solar Physics 299 (5) (2024)
https://doi.org/10.1007/s11207-024-02323-w

A model of umbral oscillations inherited from subphotospheric fast-body modes

Juhyung Kang, Jongchul Chae, Kyuhyoun Cho, Soosang Kang and Eun-Kyung Lim
Astronomy & Astrophysics 686 A293 (2024)
https://doi.org/10.1051/0004-6361/202449887

Propagation Properties of Sunspots Umbral Oscillations in Horizontal and Vertical Directions

Wei Wu, Jiang-tao Su, Jie Chen, Xiao-shuai Zhu and Robert Sych
The Astrophysical Journal 958 (1) 10 (2023)
https://doi.org/10.3847/1538-4357/acf457