On over-reflexion

Physics – Plasma Physics

Scientific paper

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Gravity Waves, Magnetoacoustic Waves, Magnetohydrodynamic Waves, Reflectance, Shear Layers, Wave Propagation, Compressible Fluids, Kinetic Energy, Magnetohydrodynamic Stability, Plasma Physics, Plasma Waves, Potential Energy, Vorticity, Wave Reflection

Scientific paper

Reflection coefficients greater than unity have now been predicted for a variety of different systems involving waves propagating towards a shear layer, but almost invariably only in regions of parameter space for which the layer exhibits Kelvin-Helmholtz instability. This paper contains a study of two examples in which, for appropriate parameter values, there are no such instabilities to obscure (or even prevent) the 'over-reflection' of an incident wave, namely (1) hydromagnetic internal gravity waves meeting a vortex-current sheet in a stratified fluid and (2) magneto-acoustic waves meeting a vortex sheet in a compressible fluid. In the former case the energetic aspects of over-reflection are examined in detail, thus displaying the way in which the excess reflected energy is extracted from the mean motion and the sense in which the transmitted wave may be viewed, by analogy with certain concepts employed in plasma physics, as a carrier of so-called 'negative energy'.

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