Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...237..545s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 237, no. 2, Oct. 1990, p. 545-552.
Astronomy and Astrophysics
Astrophysics
1
Cold Plasmas, Coupled Modes, Magnetohydrodynamic Waves, Nonuniform Plasmas, Wave Propagation, Cosmic Plasma, Magnetic Fields, Spherical Coordinates
Scientific paper
A general formalism is developed for solving the problem of wave propagation and geometrical mode coupling in cold nonuniform magnetoplasmas, by introducing a curvilinear coordinate system, such that the background magnetic field coincides with one of the coordinate curves. The special case of a nonuniform magnetoplasma in the presence of a potential magnetic field is studied as an example. The standard MHD equations expressed in curvilinear coordinates are combined into a wave equation, which is solved in the geometric-optics approximation by perturbation methods; the wave-action current associated with the fundamental wave modes is then calculated. The deviation of the wave-action current due to finite-wavelength effects constitutes a measure for the geometrical mode coupling. The mode coupling coefficient is defined and calculated explicitly for a beam of monochromatic Alfven waves. The relevance of this formalism for astrophysical plasmas is pointed out.
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