Triangular-shaped permalloy microstructures in the vortex magnetization state are studied via transmission soft x-ray microscopy, broadband-ferromagnetic resonance measurements, and micromagnetic simulations. The vortex chirality can be controlled via the direction of a saturating in-plane magnetic field applied before nucleation of the vortex state. The resonance frequencies of vortex gyration are probed for different equilibrium positions within the magnetic structure to determine the shape of the asymmetric confining potential. The experimental results are shown to coincide with micromagnetic simulations.

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