AN ANALYTIC APPROACH TO TOROIDAL EIGEN MODE

It has been shown that the failure of the classical WKB approach in re producing the correct frequency spectrum and spatial structures of fie ld line resonances should be attributed to the inability of the method to provide a natural solution close to the turning points. A direct a nalytic solution has been formulated to derive the toroidal field line resonance structure, Finally, the solutions thus obtained have been c ompared with the numerically found exact solutions in order to test th e authenticity of the formalism.