Fig. 1.

Temperature (top panel), acoustic cutoff frequency (middle panel), and density (bottom panel) of the sunspot models. They differ in the height of the base of the corona, which is located at 1.8 Mm (orange), 2.0 Mm (green), 2.2 Mm (light blue), 2.4 Mm (dark blue, and 2.6 Mm (violet). The black dashed line corresponds to the magnetoacoustic cutoff of the umbral model with the base of the corona at 2.0 Mm and a vertical magnetic field of 2500 G. The red line is the model without corona. The dotted black line corresponds to the sunspot model M from Maltby et al. (1986).
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