Oscillation spectrum for a single Abrikosov vortex in Josephson media

A spectrum of transverse oscillations of a single vortex filament in a granular type-II superconductor has been investigated theoretically. The oscillation frequency is shown to be highly dependent on characteristics of the Josephson medium and on vortex filament location in a granule. When the Abrikosov vortex enters (leaves) the granule, the spectrum looks like a surface potential barrier. A variation of granulated-medium parameters results in changes of gap size in the excitation spectrum.