Abstract
Alfven waves discovered by Hannes Alfven (1942, Nature 150 405) are fundamental electromagnetic oscillations prevalent in magnetically confined plasmas existing in the nature and laboratories. Alfven waves play important roles in the heating, stability, and transport of magnetized plasmas. The anisotropic nearly incompressible shear Alfven wave is particularly interesting since, due to inhomogeneities and geometries in realistic plasmas, its wave spectra consist of both the regular discrete and the singular continuous components. In this paper, we will discuss interesting features of the spectral properties of Alfven waves, spontaneous wave excitations via resonance with supra-thermal particles, and nonlinear physics issues dealing with both wave-particle as well as wave-wave interactions.
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