On the occurrence of critical levels in solar magnetohydrodynamics

Mathematics

Scientific paper

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Magnetohydrodynamic Waves, Solar Atmosphere, Solar Physics, Wave Propagation, Equations Of Motion, Magnetic Effects, Magnetic Field Configurations, Singularity (Mathematics), Solar Magnetic Field, Wave Packets

Scientific paper

It is shown that the singular behavior exhibited by a solution to the magnetoatmospheric wave equation for motion in the presence of a horizontal magnetic field is a special case of the 'valve'-type critical level discussed by Acheson (1973), with the difference that the 'valve effect' does not strictly occur. Waves are captured as they approach the singular level from either side and are neither reflected nor transmitted, but constrained to propagate along the field line. This effect is also likely to occur for purely vertical fields. The possible importance of such critical levels to solar physics is discussed.

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