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

Abstract

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. 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. The inference is performed by computing the marginal posterior distributions for density contrast and transverse inhomo- geneity length-scale using Bayesian analysis and damping ratios for transverse oscillations under the assumption that damping is produced by resonant absorption. The obtained distributions show that, for damping times of a few oscillatory periods, low density contrasts and short inho- mogeneity length scales are more plausible in explaining observations. 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.

arXiv comment5 pages, 3 figures, accepted

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Cited by in corpus (12)

• Wave Heating of the Solar Atmosphere
• The Width Distribution of Loops and Strands in the Solar Corona -- Are we Hitting Rock Bottom ?
• Bayesian Coronal Seismology
• MHD wave modes resolved in fine-scale chromospheric magnetic structures
• Model comparison for the density structure across solar coronal waveguides
• Impulsively generated wave trains in coronal structures: II. Effects of transverse structuring on sausage waves in pressureless slabs
• Novel data analysis techniques in coronal seismology
• No unique solution to the seismological problem of standing kink MHD waves
• Comparison of damping mechanisms for transverse waves in solar coronal loops
• Resonant Damping of Kink Modes in Solar Coronal Slabs
• Inference of magnetic field strength and density from damped transverse coronal waves
• Fast Standing Modes in Transversely Nonuniform Solar Coronal Slabs: Effects of a Finite Plasma Beta