The local Alfvén resonance in a toroidal plasma

Abstract

The local Alfvén resonance in the toroidal plasma is investigated. Equations of resonance surfaces and fields near the resonance surfaces with and without rotational transform of the magnetic field are found. It is shown that under conditions of fixed wave frequency in the torus with rotational transform there are regions where the Alfvén resonance is forbidden at any value of wavenumber.

Theory of plasma heating by low frequency waves: Magnetic pumping and Alfvén resonance heating

“…The analogues of Eqs (7.58) and (7.59) for the geometry in question can be written in the form (see Refs [70,71,105,110,115,143,169,188,191])…”

Fine Structure of the Local Alfven Resonances in Cold Plasma Placed in Bumpy Magnetic Field

“…The expansions in Fourier series of the remaining components of the magnetic and electric fields of the wave are similar to (17). Such approach to solving the Maxwell equations is usually referred to as the Floquet -Bloch method (see, e.g., [31]).…”

“…Toroidicity -induced shear Alfven eigen modes with frequencies inside the continuum gaps were predicted in that paper and observed experimentally in [14,15]. Influence of the toroidicity -induced plasma inhomogeneity on the shape of Alfven resonant surfaces was studied in [16,17]. The study of the effect of the plasma toroidicity on the RF waves eigen frequencies and eigen modes was carried out in [18].…”