Hostname: page-component-5c6d5d7d68-wp2c8 Total loading time: 0 Render date: 2024-08-19T10:28:22.337Z Has data issue: false hasContentIssue false

Inverse problem: acoustic potential vs acoustic length

Published online by Cambridge University Press:  03 August 2017

Hiromoto Shibahashi*
Affiliation:
Department of Astronomy, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo 113, Japan

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

By using the quantization rule based on the WKB asymptotic method, we present an integral equation to infer the form of the acoustic potential of a fixed ℓ as a function of the acoustic length. Since we analyze the acoustic potential itself by taking account of some factors other than the sound velocity and we can analyze the radial modes by this scheme as well as nonradial modes, this method improves the accuracy and effectiveness of the inverse problem to infer the internal structure of the Sun, in particular, the deep interior of the Sun.

Type
Chapter 2: Theory of Solar Oscillations
Copyright
Copyright © Reidel 1988 

References

Christensen-Dalsgaard, J., Duvall, T. L. Jr., Gough, D. O., Harvey, J. W., and Rhodes, E. J. Jr. 1985, Nature, 315, 378.Google Scholar
Duvall, T. L. Jr. 1982, Nature, 300, 242.Google Scholar
Gough, D. O. 1984, Phil. Trans., 313A, 27.Google Scholar
Ibrahim Denis, A. and Denis, C. 1984, In Theoretical Problems in Stellar Oscillations and Stability, eds. Noels, A. and Gabriel, M., Univ. de Liege, p.270.Google Scholar
Parker, R. L. 1977, Ann. Rev. Earth Planet. Sci., 5, 35.CrossRefGoogle Scholar