  Waves connect all the layers of the Sun, from its interior to the upper
atmosphere. It is becoming clear now the important role of magnetic field on
the wave propagation. Magnetic field modifies propagation speed of waves, thus
affecting the conclusions of helioseismological studies. It can change the
direction of the wave propagation, help channeling them straight up to the
corona, extending the dynamic and magnetic couplings between all the layers.
Modern instruments provide measurements of complex patterns of oscillations in
solar active regions and of tiny effects such as temporal oscillations of the
magnetic field. The physics of oscillations in a variety of magnetic structures
of the Sun is similar to that of pulsations of stars that posses strong
magnetic fields, such as roAp stars. All these arguments point toward a need of
systematic self-consistent modeling of waves in magnetic structures that is
able to take into account the complexity of the magnetic field configurations.
In this paper, we describe simulations of this kind, summarize our recent
findings and bring together results from the theory and observations.
