The effect of density stratification on the resonant absorption of MHD waves in coronal loops

Abstract

The standing quasi-modes of the ideal MHD in a zero-$\beta$ cylindrical magnetic flux tube that undergoes a longitudinal density stratification and radial density structuring is considered. The radial structuring is assumed to be a linearly varying density profile. Using the relevant connection formulae of the resonant absorption, the dispersion relation for the fast MHD body waves is derived and solved numerically to obtain both the frequencies and damping rates of the fundamental and first-overtone, $k=1,2$ modes of both the kink ($m=1$), and fluting ($m=2$) waves. Where $k$ and $m$ are the longitudinal and azimuthal mode numbers, respectively.

12 pages, 7 figures

Cited by in corpus (7)

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• The effect of twisted magnetic field on the resonant absorption of MHD waves in coronal loops
• Resonant absorption of kink magnetohydrodynamic waves by a magnetic twist in coronal loops
• The effect of a twisted magnetic field on the phase mixing of the kink magnetohydrodynamic waves in coronal loops
• Torsional Alfven waves in stratified and expanding magnetic flux tubes
• Resonant Absorption of Kink MHD Waves in Inclined and Asymmetric Coronal Loops
• Resonantly damped oscillations of elliptically shaped stratified emerging coronal loops