On poloidal mode coupling in the continuous spectrum of 2D equilibria

Details On poloidal mode coupling in the continuous spectrum of 2D equilibria On poloidal mode coupling in the continuous spectrum of 2D equilibria

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991soph..133..281p&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 133, June 1991, p. 281-311. FNRS-supported research.

Computer Science

Sound

21

Coronal Loops, Coupled Modes, Magnetohydrodynamic Waves, Poloidal Flux, Solar Corona, Solar Spectra, Perturbation Theory, Shock Waves, Solar Temperature, Sound Waves

Scientific paper

The continuous spectrum of linear ideal MHD is determined analytically in two-dimensional magnetostatic models for coronal loops and arcades by means of a perturbation expansion. Poloidal mode coupling, induced by non-circularity of the cross-sections of the magnetic surfaces and/or variation of the plasma density along the magnetic field lines, is shown to occur in first order. The coupling is most pronounced on and near rational surfaces for particular poloidal and toroidal mode numbers and produces gaps in the continuous spectrum of ideal MHD.

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