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Published online by Cambridge University Press: 10 February 2011
A theoretical research of static stability of peculiar localized domain structures (LDS) in a thin magnetic film with the perpendicular anisotropy is presented. The model describes a system consisting of cylindrical magnetic domain (CMD) and several concentric ring-shaped domains. Such structures arise under influence of the external low frequency (100–1000 Hz) magnetic field applied perpendicular to the film plane and were observed experimentally in 1992. Non-linear singular integro-differential equation for a magnetization distribution is provided by a minimization condition for the system's complete energy local density. Energy dependencies on geometry parameters are calculated numerically. The conditions of magnetostatic stabilization of the simplest CMD-ring system, as well as some of its dynamical properties, are discussed in detail on this basis.