Two methods of forming flat magnetic structures in magnetic films with topological features

The paper investigates vortex-like structures observed in ferromagnetic films with strong uniaxial easy-plane anisotropy in the presence of topological features in them. Two approaches to the creation of such features are considered, namely, perforation of the sample and the inclusion of artificial defects in it, and a theorem on their equivalence is proved, according to which the structure of magnetic inhomogeneities arising in the film itself turns out to be the same for both approaches. In the second case, the properties of magnetic vortices formed on defects are also studied, and for cylindrical defects explicit analytical expressions for the energy and configuration of vortices are obtained, which are applicable in a wide range of values of material parameters.