The effects of field strength and orientation on magnetostatic wave propagation in an anisotropic ferrimagnetic plate

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Abstract
This paper presents a theoretical study of magnetostatic wave propagation as a function of the strength and orientation of an applied magnetic field. The dispersion relation is derived for an isolated ferrimagnetic plate with either cubic or uniaxial magnetic anisotropy. In the crystal symmetry planes where the magnetization is coplanar with the plate normal and the applied field the dispersion relation has a simple analytic form valid for propagation in any direction. The frequency limits for propagation of various modes are readily evaluated from this expression. Selected plots of these frequency bands and the associated dispersion curves are presented to illustrate the effects of field strength and orientation. Particular emphasis is given to applied fields less than the saturation magnetization oriented near the normal to the plate. This case is important for the potential use of magnetostatic waves to detect magnetic bubbles.