On oscillations in sunspot umbrae and wave radiation in stars

Details On oscillations in sunspot umbrae and wave radiation in stars On oscillations in sunspot umbrae and wave radiation in stars

Nov 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.241..215c&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 241, Nov. 15, 1989, p. 215-229. Research supported by t

Mathematics

Logic

17

Magnetohydrodynamic Waves, Solar Oscillations, Sunspots, Bessel Functions, Convection, Frequency Distribution, Photosphere, Solar Magnetic Field, Wave Propagation

Scientific paper

The present Alfven wave-based theory of umbral oscillations is compatible with existing models based on slow and fast MHD modes. The ratios of wave frequencies correspond to the ratios of the roots of Bessel functions, which specify the waveforms of Alfven modes trapped in an isothermal atmospheric layer whose thickness is much greater than the scale height. The waveforms for the velocity and magnetic field perturbations are illustrated for the first three modes; the absolute amplitudes and their ratios are consistent with the rather limited observational data available.

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