Sound velocity distribution in the Sun inferred from the asymptotic inversion of p-mode spectra.
Abstract
The authors solve the inverse problem of the solar p-mode spectrum based on a recently developed asymptotic inversion method, and infer the sound velocity distribution with the accuracy better than a few percent. In this method, the equation governing high order p-mode oscillations has been reduced to a form of the Schrödinger equation in quantum mechanics. By using the quantization rule based on the WKBJ method, the authors formulated an integral equation to infer the form of the "acoustic potential". The acoustic potential itself consists of two parts. One of them is dependent on the degree l and the sound velocity and is the dominant term in the deep interior while the other is independent of l and dominates in the outer envelope. By examining the l-dependence of the acoustic potential thus inferred, the authors separate these two terms and then they infer the sound velocity distribution in the Sun. They apply this method to the real observational data of Duvall et al. and Libbrecht and Kaufman and obtain the sound velocity distribution in the Sun. They compare the result with their model and find that there is a small discrepancy between the model and the inferred result in the range of 0.3 < r/R < 0.4.
- Publication:
-
Seismology of the Sun and Sun-Like Stars
- Pub Date:
- December 1988
- Bibcode:
- 1988ESASP.286..471S
- Keywords:
-
- Solar Oscillations;
- Solar Interior: Seismicity;
- Acoustic Velocity;
- Asymptotic Methods;
- Solar Spectra;
- Spectrum Analysis;
- Sun;
- Velocity Distribution;
- P Waves;
- Schroedinger Equation;
- Solar Interior;
- Sound Waves;
- Acoustics