Klein-Gordon Equations for Transverse Oscillations in Coronal Loops

Details Klein-Gordon Equations for Transverse Oscillations in Coronal Loops Klein-Gordon Equations for Transverse Oscillations in Coronal Loops

Dec 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010agufmsh11b1652m&link_type=abstract

American Geophysical Union, Fall Meeting 2010, abstract #SH11B-1652

Physics

Plasma Physics

[7836] Space Plasma Physics / Mhd Waves And Instabilities

Scientific paper

We present a preliminary analysis of toroidal hydromagnetic waves in an axi-symmetric background magnetic field. For transverse (Alfvenic) perturbations along a magnetic field line, the wave equations can be cast in a Klein-Gordon form in which the wave amplitude is transformed and governed by an ordinary differential equation with harmonic time variation. The solutions are combination of propagating type and an evanescent part characterized by a distinct cut-off frequency at different harmonic mode. We will present the solutions of Klein-Gordon equations for a dipole and/or a stretched dipole field line that mimics the geometry of a closed coronal loop. We show the results including oscillation periods and wave forms of multiple-order harmonics for standard coronal loop conditions. We discuss the potential applications of the approach to coronal loop oscillations.

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