The interplay between spin waves and microwave magnetic field in magnetization textures and planar magnetic nanostructures

The magnetic microwave field is accompanying the magnetization precession in magnetic materials. However, the precessional dynamics can propagate in the form of the dipolar spin wave only if the magnetic field can effectively mediate the coupling between the magnetic moments at the distance. We refer to counter-intuitive but well known effect - the absence of the dynamic dipolar coupling in an unconstrained and uniformly magnetized medium, to stress the role of the confined geometries and magnetization textures for shaping the dipolar interaction and molding the propagation of the dipolar spin waves. The paper discusses the electromagnetic origin of the dipolar spin waves and explains the role of magnetostatic approximation. Within this approximation, we can introduce the concept of magnetostatic potential, which is very useful for describing of the origin of the dynamic demagnetizing field providing the coupling for the dipolar spin waves.