Shear Alfven wave continuous spectrum within magnetic islands

TL;DR

This paper calculates the shear Alfven wave continuous spectrum within magnetic islands, revealing a tokamak-like spectrum with a significant frequency gap caused by island eccentricity, which could enable magnetic-island diagnostics.

Contribution

It extends the understanding of shear Alfven wave spectra to magnetic islands, showing the formation of a tokamak-like spectrum and a potential diagnostic method based on MiAE frequency scalings.

Findings

A tokamak-like continuous spectrum exists inside magnetic islands.

A wide frequency gap is formed due to island eccentricity.

Potential for magnetic-island diagnostics using MiAE frequencies.

Abstract

The radial structure of the continuous spectrum of shear Alfven waves is calculated in this paper within the separatrix of a magnetic island. Geometrical effects due to the noncircularity of the flux surface's cross section are retained to all orders. On the other hand, we keep only curvature effects responsible for the beta-induced gap in the low-frequency part of the continuous spectrum. Modes with different helicity from that of the magnetic island are considered. The main result is that, inside a magnetic island, there is a continuous spectrum very similar to that of tokamak plasmas, where a generalized safety factor q can be defined and where a wide frequency gap is formed, analogous to the ellipticity induced Alfven eigenmode gap in tokamaks. The presence of this gap is due to the strong eccentricity of the island cross section. The importance of the existence of such a gap is recognized in potentially hosting magnetic-island induced Alfven eigenmodes (MiAE). Due to the frequency dependence of the shear Alfven wave continuum on the magnetic-island size, the possibility of utilizing MiAE frequency scalings as a novel magnetic-island diagnostic is also discussed.