In the previous chapter we have been mainly concerned with the behavior of MHD-waves in inhomogeneous plasma for the special case of an unbounded medium. This led to important simplification in the theory and enabled us to study some peculiarities of the electromagnetic field and plasma displacements in the vicinity of a resonance shell. A substantial feature of the real magnetosphere, disregarded in Chapter 4, is the finiteness of the magnetospheric system in the direction of the magnetic field-lines. In this chapter we abandon the assumption of medium unboundedness and consider a model of a bounded MHD-medium. We follow ([17], [19]) who proposed a simple model of an MHD-box to study the interaction between MHD-waves of different kinds. We shall consider the waves within the MHD-box in Cartesian coordinates, with significant reduction in algebraic complexity. The model enables us to reveal new important peculiarities of hydrodynamic perturbations in magnetospheric plasma. Particularly, it gives the simplest way to understand the principal features of field-line resonance (FLR).
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(2007). Hydromagnetic Resonators. In: Hydromagnetic Waves in the Magnetosphere and the Ionosphere. Astrophysics and Space Science Library, vol 353. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6637-5_5
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