Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...402..721c&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 402, no. 2, p. 721-732.
Astronomy and Astrophysics
Astrophysics
73
Magnetic Field Configurations, P Waves, Solar Magnetic Field, Trapped Magnetic Fields, Helioseismology, Linear Equations, Polytropic Processes, Solar Atmosphere, Solar Oscillations, Sunspots
Scientific paper
The study addresses the question of whether the polytropic atmosphere with an imposed uniform vertical magnetic field possesses normal modes of oscillation despite the potential for the s-modes to drain energy from the resonant cavity created by the favorable vertical stratification. This question is answered in the affirmative via direct numerical construction of these eigenfunctions for the complete uniformly magnetized polytrope. The basic equilibrium atmosphere is discussed, and the relevant linearized equations and boundary conditions are provided. The properties of the trapped pi-modes are considered. It is suggested that they play a role in the magnetized sunspot atmosphere analogous to that played by the p-modes in the unmagnetized surrounding quiet sun. Oscillations in sunspots and sunspot seismology are reassessed in light of the discovery of the natural modes of oscillation of unbounded atmospheres with vertical magnetic fields.
Bogdan Thomas. J.
Cally Paul S.
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