Physics
Scientific paper
Dec 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988esasp.286..103h&link_type=abstract
In ESA, Seismology of the Sun and Sun-Like Stars p 103-108 (SEE N89-25819 19-92)
Physics
Convection, Polytropic Processes, Power Spectra, Solar Oscillations, Stellar Models, Fourier Analysis, Helioseismology, Solar Interior, Solar Rotation, Stellar Envelopes, Wave Propagation
Scientific paper
Three-dimensional Fourier analysis results in the appearance of rings in the power spectrum of solar oscillations. These rings are the cross-sections at constant temporal frequency of trumpet surfaces, and are the analog of the familiar ridges. The shape of the rings provides information on the local dispersion relationship of the oscillations expressed as a simple power law. The exponent and constant in the power law are related to the thermodynamics of the region in the solar interior where the waves propagate. Asymptotic expressions for high-degree modes, coupled with the assumption that the upper part of the solar envelope is an adiabatic polytrope, predict that the exponent should be 1/2. The constant should depend on the polytropic index of the envelope, and on a phase factor resulting from wave leakage. Analysis of over 5000 rings results in an observed exponent ranging between 0.3 and 0.6, a polytropic index between 1 and 7, and a phase factor between -1.5 and 5.
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