Linear transformation of the standing Alfven wave in an axisymmetric magnetosphere

In an attempt to further develop the theory of transversally small-scale standing Alfven waves, constructed by Leonovich and Mazur (Planet. Space Sci.41, 697–717, 1993) their spatial structures are investigated in the neighbourhood of the toroidal resonance surface. Near this surface, of important significance are the effects of finite Larmor radius of ions and of electron inertia which lead to the so-called kinetic dispersion of Alfven waves. It is shown that near the toroidal surface there occurs a total linear transformation of one kind of standing Alfven waves, whose dispersion is due to the curvature of geomagnetic field lines (these were thoroughly investigated in the above-cited paper), into standing Alfven waves of another type, kinetic waves. Formulas have been obtained which thoroughly define the spatial structure of the waves under consideration.