Nonlinear excitation of hypersound in a ferrite plate under the ferromagnetic-resonance conditions

Abstract

The nonlinear problem of excitation of hypersound by an alternating magnetic field in a normally magnetized ferrite plate is considered. The plate is characterized by uniaxial and cubic anisotropies and exhibits magnetostriction. The equations of motion and boundary conditions for the magnetization components and for the elastic displacement are obtained for the case of the arbitrary angle of the magnetization-vector precession. The obtained system is solved by means of the Runge-Kutta method. It is shown that, in the nonlinear regime, the amplitude of the excited hypersound may exceed the amplitude observed in the linear regime by three or four orders of magnitude and that, simultaneously, the range of effectively excited frequencies extends by a factor of one and a half or two. © 2009 Pleiades Publishing, Ltd.