Detection of a pattern of umbral oscillations. (a) Continuum intensity map of the GST/FISS constructed at the −43.5 Å of the Hα line center and chromospheric intensity map constructed at the line center at 17:44:07 UT on June 3, 2014. (b) Two-dimensional wave patterns of the chromospheric Doppler velocity map temporally filtered in 5.5 − 9 mHz. The black contour displays the boundary of the pore, and the red cross symbol marks the center position of the SWP. (c) Azimuthally decomposed wave patterns for m = 0 and ±2 modes. (d) Modeled LOS velocity fluctuation map constructed by the superposition of 12 modes (m × n, where m = 0, 2, −2 and n = 1, 2, 3, 4). The dashed circle shows the boundary of the modeled flux tube. (e) All modes of trapped fast-body waves for the modeled LOS velocity map. Here m represents the azimuthal mode and n refers to the radial mode. The color limit of panels b–e is −3.5 to 3.5 km s⁻¹, where the positive sign signifies the redshift. The temporal evolutions of panels b–d are shown in Fig. 5.