Abstract
The coupling of different MHD waves is important for an understanding of laboratory, space, and solar plasmas. In this paper we investigate fast and Alfvén mode coupling in the cold plasma limit. The medium is assumed to have an invariant direction (e.g., slab or axisymmetric models) and carries an arbitrary solenoidal background magnetic field. Wave fields are Fourier analysed with wave number kβ in the invariant direction. The coupled linearised wave fields are then expanded in a power series (of kβ) to yield a decoupled hierarchy of inhomogeneous wave equations. The higher order terms in the series represent wave coupling phenomena such as the resonant excitation of Alfvén waves, and the damping of a magnetospheric cavity mode.
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