THEORY OF ALFVEN RESONANCE IN 2-DIMENSIONAL INHOMOGENEOUS-PLASMA

A justification for the basic principles of Alfven's resonance theory is given for the case of two-dimensional inhomogeneous plasma configur ations. The problem was stated by Hansen and Goertz (1992), who assume d that the character of MHD-wave transformation in the region of Alfve n resonance should be is substantially modified in two-dimensional inh omogeneous plasma configurations. Correct treatment with the use of th e Frobenius method shows the Hansen and Goertz assumptions to be incon sistent. A singular character of the wave field in the neighborhood of the resonance shell still holds even in systems with multidimensional inhomogeneity of the Alfven's velocity.