Dynamic eigen-modes in magnetic stripes and dots

Eigen-modes of unconfined ferromagnetic media (spin waves) were introduced by Bloch to explain the thermodynamics of ferromagnets. In this paper we analyse the eigen-modes of laterally confined magnetic structures. The quantization of eigen-modes due to the finite size of the structures as well as their localization due to the recently discovered spin wave wells effect will be considered in detail. A general description of magnetic dynamic eigen-modes in media with a strongly nonuniform internal field, important for confined structures, will be presented. Pictorial effects of spin wave propagation, reflection and tunnelling caused by field inhomogeneity will be demonstrated and discussed.