Research Note

Determination of the cross-field density structuring in coronal waveguides using the damping of transverse waves

¹ Instituto de Astrofísica de Canarias, 38205 La Laguna, Tenerife Spain
e-mail: iarregui@iac.es
² Departamento de Astrofísica, Universidad de La Laguna, 38206, La Laguna, Tenerife, Spain

Received: 29 January 2014
Accepted: 2 April 2014

Abstract

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.