Axisymmetric electromagnetic eigenmodes of plasma-filled toroidal resonators

The axisymmetric electromagnetic eigenmodes of a toroidal resonator of a circular cross-section filled with a homogeneous cold magnetized plasma are analyzed. The static magnetic field of the model considered has only a toroidal component, falling off inversely as the major radius. Since the basic equations are not separable in toroidal coordinates, they are solved by a perturbation method. Eigenfrequencies and eigenfunctions are calculated up to the second order in the inverse aspect ratio.<
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