Spectral properties of the kinetic Alfvén wave in cylindrical tokamak geometry

van Rij, W. I.; Vahala, G.; Sigmar, D. J.
August 1985
Physics of Fluids (00319171);Aug85, Vol. 28 Issue 8, p2484
Academic Journal
It is shown, for a tokamak-like cylindrical plasma and small poloidal and toroidal mode numbers, that the full gyrokinetic shear Alfvén spectrum is discrete when k[sub ] ≠ 0. Calculations of the global eigenmodes of the magnetohydrodynamic (MHD) limit, and their first-order finite Larmor radius (FLR) corrections, are presented. First-order FLR theory is found to be a good approximation to full FLR theory, even for modes with high radial node number. In the presence of a positive density gradient, such as that which may occur with pellet fueling of the plasma, the existence of global MHD eigenmodes above the Alfvén continuum is confirmed.


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