Nonlinear resonant wave interaction in a cylindrical plasma waveguide (Q2458177)

The problem in question is related to plasma physics in the solar atmosphere, i.e. to the excitation of natural waist-type modes of corona magnetic loops that effectively modulate radio-frequency radiation. Since resonant interaction of torsion waves in corona loops can be considered as a mechanism of the phenomenon, the cylindrical waveguides are envisaged as specific examples of corona loops. The characteristic feature of the situation is the absence of solid walls, therefore an infinite region is taken to be the determining agent of the shape and spectrum of natural models. The axisymmetric natural waveguide modes are taken to be formed by Alfvén torsion modes and fast magnetoacoustic waist-type modes. The interacting modes are taken into account, and the interaction cases are evaluated. The numerical tables suggest that a possible mechanism of excitation is found for the fast magnetoacoustic modes in coronal loops.