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Waves connect all the layers of the Sun, from its interior to the upperatmosphere. It is becoming clear now the important role of magnetic field onthe wave propagation. Magnetic field modifies propagation speed of waves, thusaffecting the conclusions of helioseismological studies. It can change thedirection of the wave propagation, help channeling them straight up to thecorona, extending the dynamic and magnetic couplings between all the layers.Modern instruments provide measurements of complex patterns of oscillations insolar active regions and of tiny effects such as temporal oscillations of themagnetic field. The physics of oscillations in a variety of magnetic structuresof the Sun is similar to that of pulsations of stars that posses strongmagnetic fields, such as roAp stars. All these arguments point toward a need ofsystematic self-consistent modeling of waves in magnetic structures that isable to take into account the complexity of the magnetic field configurations.In this paper, we describe simulations of this kind, summarize our recentfindings and bring together results from the theory and observations.

Magnetic fingerprints of solar and stellar oscillations