THE SEARCH FOR THE MAGNETIC AND FLOW FIELD PARAMETERS
USING RING DIAGRAMS ANALYSIS
M. Ryutova
In collaboration with R. Bogart, F. Hill, D. Haber.
Dispersion of the acoustic waves propagating in strongly inhomogeneous
medium reveals some clear properties
which can be used in studies of the magnetic and flow field anisotropies
both at the solar surface and in subsurface regions. The frequency of the wave
interacting with the sheared mass flows and randomly distributed magnetic
fields is proportional to $Q_{\alpha\beta}k_{\alpha}k_{\beta}$, where
$Q_{\alpha\beta}$ is a tensor whose symmetry is determined by the
specific distribution of the magnetic field and plasma flows. We include
into consideration the absorption of the acoustic waves evaluating the
dependence of frequency on $k^2$. The decomposition of a signal into the
planar waves in the presence of spatial inhomogeneities leads to the
broadening of the measured ring diagrams. To study the distortions
and character of the broadening of the measured ring diagrams we
propose to use the decomposition of a signal into the wave-packets
which reflect the dependence of wave-vector on the spatial coordinates.
The local dispersion relation with anisotropic coefficients will be
used in the fitting procedure to infer physical parameters, such as
magnetic field, mass flows, sound speed anomalies, and the order of
the absorption coefficients.