Nonlinear magnetodynamic waves on magnetic materials

A study of nonlinear magnetodynamic waves on magnetic materials is presented. Attention is restricted to an exact theory of electromagnetic waves propagating along the single interface between a linear substrate consisting of a ferromagnetic and a strongly nonlinear magnetic cladding. It is assumed that the cladding consists of an artificial paramagnetic material and that only third-order nonlinearity is operating. It is shown that both TM and TE waves can propagate, with or without a linear limit. Nonreciprocity is found to be strong only in the cases that have linear limits, but the power dependence of this nonreciprocal behavior is quite dramatic and should lead to some applications. Many numerical examples are presented, supported by a detailed mathematical analysis.