# Resonant Alfven wave excitation in two-dimensional systems

Uberoi, C (1996) Resonant Alfven wave excitation in two-dimensional systems. In: Journal of Geophysical Research, 101 (A6). pp. 13345-13348.

 PDF jgr_101_96.pdf - Published Version Restricted to Registered users only Download (302kB) | Request a copy

## Abstract

The resonant excitation of shear Alfven waves due to coupling with pressure perturbations is studied for an ideal MHD plasma with density varying both along and perpendicular to the constant magnetic field direction. For the case of infinite azimuthal wavelength it is noted that the MHD equations split into two sets describing the ordinary Alfven wave and the Alfven wave modified by pressure waves. Studying the latter set of equations analytically, we find that the pressure waves can resonantly excite the Alfven waves propagating along the z-direction, parallel to the magnetic field, in the neighborhood of the resonant layer $x=x_0$ with local Alfven wave frequency $\omega=\omega_A(x_0)$, with intensity varying in the z-direction. The intensity of the wave becomes maximum near the cutoff layer across which the wave changes from oscillatory to decaying. It is concluded that if the Alfven wave propagates along the magnetic field for considerable distance before reaching the cutoff layer, the Alfven waves in a two-dimensional system will retain the property of phase mixing and consequently resonant absorption similar to the case of a one-dimensional system

Item Type: Journal Article Copyright of this article belongs to American Geophysical Union. 2700 Magnetospheric Physics; 2752 Magnetospheric Physics: MHD waves and instabilities; 7800 Space Plasma Physics; 7871 Space Plasma Physics: Waves and instabilities Division of Physical & Mathematical Sciences > Mathematics PradeepKumar UM 16 Jul 2007 13 Apr 2011 06:25 http://eprints.iisc.ac.in/id/eprint/11569