The vortex translational mode frequency is known to be only weakly dependent on the magnitude of an in-plane magnetic field (e.g. the vortex core position) for circular ferromagnetic dots. Here we demonstrated that the frequency-field dependence becomes discrete when a nanoscale vortex barrier is introduced in the dot structure. We found that the frequency is mostly defined by the outer diameter of the dot or the barrier size for the vortex core located outside or inside the barrier, correspondingly. The experimental results are in good agreement with the micromagnetic simulation.
