The period ratio for kink and sausage modes in a magnetic slab

Macnamara, C. K. and Roberts, B. (2011) The period ratio for kink and sausage modes in a magnetic slab. Astronomy and Astrophysics, 526, A75. (doi: 10.1051/0004-6361/201015460)

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Abstract

Aims. Increasing observational evidence of wave modes in the solar corona brings us to a closer understanding of that medium. Coronal seismology allows us to combine wave observations and theory to determine otherwise unknown parameters. The period ratio, P1/2P2, between the period P1 of the fundamental mode and twice the period P2 of its first overtone, is one such tool of coronal seismology and its departure from unity provides information about the structure of the corona. Methods. We consider analytically the period ratio for the fast kink and sausage modes of a magnetic slab, discussing both an Epstein density profile and a simple step function profile. Results. Transverse density structuring in the form of an Epstein profile or a step function profile may contribute to the shift of the period ratio for long thin slab-like structures.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Macnamara, Dr Cicely
Authors: Macnamara, C. K., and Roberts, B.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Astronomy and Astrophysics
Publisher:EDP Sciences
ISSN:0004-6361
ISSN (Online):1432-0746
Published Online:23 December 2010

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