Harmonic Resonances in Small Ferrimagnetic Ellipsoids

Abstract

This paper considers the response of the magnetization of a small ferrimagnetic ellipsoid to spatially uniform rf magnetic fields of one or more frequencies. Only a few pertient cases can be considered in this short paper. The analysis is applicable to other excitations and a more complete report will be published elsewhere. Some of the work presented here duplicates that of Pippin [Proc. Inst. Radio Engrs. 44, 1054 (1956)], Jepsen, and others, but the approach to the problem is quite different and allows one to extend previous results, as well as to derive new ones. The effects of symmetry planes and anisotropy will be considered as well as the permeability tensor for the general ellipsoid when modulation terms of the magnetization are neglected.