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The Alfvén Wave Equation for Magnetospheric Plasmas

Uberoi, C (1988) The Alfvén Wave Equation for Magnetospheric Plasmas. In: Journal of Geophysical Research-Space physics, 93 (A1). 295 -298.

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Official URL: http://www.agu.org/journals/ABS/1988/JA093iA01p002...


It is shown that besides the continuous spectrum which damps away as inverse power of time, the coupled Alfvén wave equation, which gives coupling between a shear Alfvén wave and a surface wave, can also admit a well behaved harmonic solution in the closed form for a set of initial conditions. This solution, though valid for finite time intervals, points out that the Alfvén surface waves can have a band of frequency (instead of a monochromatic frequency for a nonsheared magnetic field) within which the local field line resonance frequency can lie, and thus can excite magnetic pulsations with latitude-dependent frequency. By considering magnetic fields not only varying in magnitude but also in direction, it is shown that the time interval for the validity of the harmonic solution depend upon the angle between the magnetic field directions on either side of the magnetopause. For small values of the angle the time interval can become appreciably large.

Item Type: Editorials/Short Communications
Publication: Journal of Geophysical Research-Space physics
Publisher: Amer Geophysical Union
Additional Information: Copyright of this article belongs to Amer Geophysical Union.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 11 Oct 2010 09:04
Last Modified: 11 Oct 2010 09:04
URI: http://eprints.iisc.ac.in/id/eprint/33017

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