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We present comparison of numerical simulations of propagation of MHDwaves,excited by subphotospheric perturbations, in two different ("deep" and"shallow") magnetostatic models of the sunspots. The "deep" sunspot modeldistorts both the shape of the wavefront and its amplitude stronger than the"shallow" model. For both sunspot models, the surface gravity waves (f-mode)are affected by the sunspots stronger than the acoustic p-modes. The waveamplitude inside the sunspot depends on the photospheric strength of themagnetic field and the distance of the source from the sunspot axis. For thesource located at 9 Mm from the center of the sunspot, the wave amplitudeincreases when the wavefront passes through the central part of the sunspot.For the source distance of 12 Mm, the wave amplitude inside the sunspot isalways smaller than outside. For the same source distance from the sunspotcenter but for the models with different strength of the magnetic field, thewave amplitude inside the sunspot increases with the strength of the magneticfield. The simulations show that unlike the case of the uniform inclinedbackground magnetic field, the p- and f-mode waves are not spatially separatedinside the sunspot where the magnetic field is strongly non-uniform. Theseproperties have to be taken into account for interpretation of observations ofMHD waves traveling through sunspot regions.

Numerical Simulation of Excitation and Propagation of Helioseismic MHD Waves in Magnetostatic Models of Sunspots