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Fast magnetoacoustic waves in curved coronal loops I. Trapped and leaky modes View all abstracts by submitter

Erwin Verwichte   Submitted: 2005-10-02 08:24

A study of vertically polarised fast magnetoacoustic waves in a curved coronal loop is presented. The loop is modeled as a semi-circular magnetic slab in the zero plasma-beta limit. The governing equations for linear waves are derived. We show that the wave mode behaviour depends on the slope of the equilibrium density profile, which is modeled as a piece-wise continuous power law curve of index α For all profiles, except for α -4, wave modes are not trapped in the loop and leak out into the external medium through wave tunneling. The behaviour of the density perturbation depends on α which provides a seismological tool to infer information about the equilibrium density profile from observational signatures of vertically polarised fast magnetoacoustic kink oscillations. The particular case of α -4, which corresponds to a linearly increasing Alfvén speed profile, is examined in more detail as this is the only model that can support trapped wave modes. We compare the results with a straight slab model and find similar behaviour. Coupling between sausage and kink wave modes has not been found in the model.

Authors: Verwichte, E., Foullon, C. and Nakariakov, V.M.
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Publication Status: A&A 446, 1139-1149
Last Modified: 2006-03-01 10:17
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