The resonant damping of oscillations of coronal loops with elliptic cross-sections

Details The resonant damping of oscillations of coronal loops with elliptic cross-sections The resonant damping of oscillations of coronal loops with elliptic cross-sections

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003a%26a...409..287r&link_type=abstract

Astronomy and Astrophysics, v.409, p.287-297 (2003)

Astronomy and Astrophysics

Astrophysics

42

Magnethohydrodynamics (Mhd), Plasmas, Sun: Corona, Waves

Scientific paper

Motivated by recent Transition Region and Coronal Explorer (TRACE) observations of damped oscillations in coronal loops, Ruderman & Roberts (\cite{Ruderman02}), studied resonant damping of kink oscillations of thin straight magnetic tubes in a cold plasma. In their analysis, Ruderman & Roberts considered magnetic tubes with circular cross-sections. We extend their analysis for magnetic tubes with elliptic cross-sections. We find that there are two infinite sequences of the eigenfrequencies of the tube oscillations, ωnc and ωns, n = 1,2,dots . The eigenfrequencies ωnc and ωns correspond to modes with 2n nodes at the tube boundary. In particular, ω1c and ω1s correspond to two kink modes. These modes are linearly polarized in the direction of the large and small axis of the tube elliptic cross-section respectively. The sequence ωnc is monotonically growing and ωns monotonically decreasing, and they both tend to ωk as n-> infty , where ωk is the frequency of the kink mode of tubes with circular cross-sections. In particular, ω1c < ωk < ω1s. We calculate the decrements of the two kink modes and show that they are of the order of decrement of the kink mode of a tube with a circular cross-section.

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