The influence of magnetoelastic connection on magnetization equilibrium position precession in structure: fine magnetic slide – thick elastic substrate

The excitation of coupled magnetoelastic oscillations in a plane-parallel system consisting of a normally magnetized thin ferromagnetic film deposited on a thick nonmagnetic elastic substrate is investigated. The primary focus of this study is the precession of the magnetization equilibrium position. Two distinct temporal regimes of oscillatory dynamics are identified: the transient establishment phase and the steady-state regime. During the transient phase, as the applied static magnetic field is reduced, four distinct oscillatory modes are observed: regular oscillations, relaxing beats, precession of the magnetization equilibrium position, and irregular beats. In the steady-state regime, only the precession of the magnetization equilibrium position persists within the field range corresponding to a reduced demagnetization effect. The oscillatory behavior is characterized by two sinusoidal components, corresponding to the magnetization projections mx and my, which exhibit equal amplitudes and a mutual phase shift of 90°. The dependence of the precession period of the equilibrium position on the applied static magnetic field is analyzed for different values of the magnetoelastic interaction constant. It is demonstrated that an increase in magnetoelastic coupling results in a reduction of the precession period, with this effect becoming more pronounced at higher field strengths. This behavior is attributed to the effective loading of the magnetic system by the elastic medium, which slows the magnetization dynamics and thereby increases the period. Furthermore, the dependence of the precession period on the amplitude of the alternating magnetic field is examined for various values of the magnetoelastic interaction constant. It is found that stronger magnetoelastic coupling systematically leads to a shorter precession period. This effect is hypothesized to arise from an overall increase in system stiffness due to the magnetoelastic interaction. The influence of magnetoelastic coupling on the amplitude of precessional oscillations of the equilibrium position is also analyzed for different values of the static field. It is shown that as the coupling strength increases, the oscillation amplitudes tend to stabilize around an intermediate value, corresponding to the average between the maximum and minimum amplitudes observed in the absence of coupling. Additionally, the behavior of the elastic component of the oscillations is investigated as a function of magnetoelastic coupling strength. The amplitude of elastic oscillations is found to exhibit a linear dependence on the magnetoelastic interaction parameter. Finally, potential directions for further research are outlined, including an in-depth analysis of nonlinear effects and the role of additional anisotropic contributions in the magnetoelastic dynamics of the system.