*Astron. Astrophys. 360, 707-714 (2000)*
## Turbulent *f* -mode in a stratified solar atmosphere
**
K. Murawski
**
Technical University of Lublin, Department of Environmental Physics, ul. Nadbystrzycka 40, 20-618 Lublin, Poland
*Received 20 September 1999 / Accepted 28 January 2000*
**Abstract**
The solar *f* -mode is a surface gravity wave which high
horizontal wavenumber *k* and the frequency
satisfy the dispersion relation
, where *g* is the surface
gravity of the Sun. However, the observations of this mode revealed
deviations from this simple dispersion relation. According to these
observations for high values of *k* the *f* -mode frequency
is significantly lower than the frequency given by the simple
dispersion relation and the line-width grows with *k*.
We derive a general dispersion equation which is valid for
arbitrary vertical profiles of the stratified solar atmosphere. As an
illustrative example the case of isothermal atmosphere is considered.
Solving this equation numerically for various parameters of the
equilibrium and the turbulent flow we find that the frequencies and
line-widths of the turbulent *f* -mode are close to those
observed recently by the SOHO/MDI.
**Key words:** convection
Sun: atmosphere
Sun:
granulation
Sun:
oscillations
turbulence
*Send offprint requests to:* kamur@akropolis.pol.lublin.pl
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### Contents
© European Southern Observatory (ESO) 2000
Online publication: August 17, 2000
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