Coupling of magnetohydrodynamic waves in inhomogeneous magnetic field configurations

Details Coupling of magnetohydrodynamic waves in inhomogeneous magnetic field configurations Coupling of magnetohydrodynamic waves in inhomogeneous magnetic field configurations

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jgr....95...89m&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 95, Jan. 1, 1990, p. 89-95.

Physics

32

Coupled Modes, Geomagnetic Micropulsations, Magnetic Field Configurations, Magnetohydrodynamic Waves, Solar Terrestrial Interactions, Coronal Loops, Magnetic Flux, Magnetoacoustic Waves, Magnetohydrodynamics, Mathematical Models

Scientific paper

This paper presents a study of the resonant coupling of fast magnetosonic waves to the Alfven or slow magnetosonic waves in general geometries. If the magnetic field lines are straight and the Alfven velocity does not vary along them, the linearized MHD equations exhibit a singularity at a given line which manifests the resonant coupling on that line. However, if the lines are not straight, or if the Alfven velocity does vary along them (or both), no singularity in the linearized MHD equations is apparent. Nonetheless, it is shown that the solutions of the linearized MHD equations behave singularly in the neighborhood of an entire field line. This gives rise to the resonant coupling of the fast to the Alfven or slow waves along the entire line. The solutions near the resonant magnetic field line as well as the nonzero net energy flux across it are calculated. The method used is applicable to general geometries and plasma pressures.

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