Determination of the cross-field density structuring in coronal waveguides using the damping of transverse waves
Instituto de Astrofísica de Canarias,
La Laguna, Tenerife
2 Departamento de Astrofísica, Universidad de La Laguna, 38206, La Laguna, Tenerife, Spain
Accepted: 2 April 2014
Context. Time and spatial damping of transverse magnetohydrodynamic (MHD) kink oscillations is a source of information on the cross-field variation of the plasma density in coronal waveguides.
Aims. We show that a probabilistic approach to the problem of determining the density structuring from the observed damping of transverse oscillations enables us to obtain information on the two parameters that characterise the cross-field density profile.
Methods. The inference is performed by computing the marginal posterior distributions for density contrast and transverse inhomogeneity length-scale using Bayesian analysis and damping ratios for transverse oscillations under the assumption that damping is produced by resonant absorption.
Results. The obtained distributions show that, for damping times of a few oscillatory periods, low density-contrasts and short inhomogeneity length scales are more plausible to explain observations.
Conclusions. This means that valuable information on the cross-field density profile can be obtained even if the inversion problem, with two unknowns and one observable, is a mathematically ill-posed problem.
Key words: magnetohydrodynamics (MHD) / waves / methods: statistical / Sun: corona / Sun: oscillations
© ESO, 2014