Quasi-Modes on Curved Solar Coronal Loops

Details Quasi-Modes on Curved Solar Coronal Loops Quasi-Modes on Curved Solar Coronal Loops

Jan 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004esasp.547..525v&link_type=abstract

Proceedings of 'SOHO 13 - Waves, Oscillations and Small-Scale Transient Events in the Solar Atmosphere: A Joint View from SOHO a

Computer Science

1

Sun: Corona, Coronal Heating, Coronal Loops, Oscillations

Scientific paper

Toroidal coordinates are the natural coordinates to describe semi-toroidal structures. We use this coordinate system to solve the linearized ideal MHD-equations to find the frequencies and damping rates of the ideal quasimodes in solar coronal loops taking into account the curvature along the loop. When we take a simple radial density variation that is discontinuous at the edge of the loop, the eigenfunctions are found in terms of hypergeometric functions. The curvature results in coupling between the modes with different poloidal wave numbers. When we take the `nocurvature', `thin-loop' limit (straight cylinder) of the solution, we recover the straight thin flux tube solution. When we include a smooth density profile in the region connecting the two homogeneous zones, we get a system of weakly coupled differential equations. Solving this system of differential equations will yield an expression for the damping of the quasi-mode oscillations.

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