Hydromagnetic waves in structured magnetic fields

Physics

Scientific paper

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Energy Transfer, Magnetic Effects, Magnetohydrodynamic Waves, Solar Atmosphere, Solar Magnetic Field, Astronomical Models, Dynamic Response, Magnetic Field Configurations, Solar Wind, Sunspots, Wave Propagation

Scientific paper

We reformulate the hydromagnetic wave propagation problem for magnetic fields which vary in one direction perpendicular to the field. The permitted modes of small amplitude hydromagnetic oscillations are considered, first in the case of a single interface between semi-infinite magnetic and nonmagnetic compressible regions, and secondly for a magnetic flux sheath of given thickness imbedded in a nonmagnetic region. It is shown that, for small values of R (the ratio of the Alfven to the sound speed), an acoustic or p-mode wave front passes through the flux sheath with only minor deformation. However, for large R, the transmitted acoustic wave is attenuated and, depending upon the thickness of the flux sheath and the angle of incidence, a hydromagnetic wave may be effectively trapped and guided along the flux sheath.

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