Other
Scientific paper
Dec 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phdt.........6n&link_type=abstract
Ph.D. Thesis Rochester Univ., NY.
Other
Magnetohydrodynamic Waves, Solar Atmosphere, Solar Magnetic Field, Adiabatic Conditions, Isothermal Processes, Magnetohydrodynamic Stability, Penumbras, Solar Corona, Solar Flares, Wave Propagation
Scientific paper
The theory of magneto-atmospheric waves, involving the combined restoring forces due to buoyancy, compressibility, and magnetic field, was developed for the case of a horizontal magnetic field in the solar atmosphere and applied to running penumbral waves and flare-induced coronal waves. The stability of the undisturbed atmosphere in the presence of a vertically-varying horizontal field was first discussed. A general propagation equation was obtained for adiabatic perturbations with arbitrary vertical distributions of the sound speed, Alfven velocity, and local density scale height. This equation was solved analytically for the case of an isothermal atmosphere permeated by a uniform horizontal magnetic field. A model was also developed that reproduces all of the relevant features of vertical penumbral structure. A simple two-layer penumbral model is studied, for which the eigenmodes are computed analytically. It follows that running penumbral waves should be observable in photospheric spectral lines.
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