Oscillations and confluence in three-magnon scattering of ferromagnetic resonance

Abstract

We have performed a comprehensive study and developed a semi-analytical model of the transient behavior of three-magnon scattering of ferromagnetic resonance. For powers above the Suhl instability, we observe a secondary nonlinear regime in which the resonance amplitude oscillates while relaxing to its steady-state value. This behavior is in both qualitative and quantitative agreement with our model despite the onset of higher-order interactions. As the power increases, the oscillations lead to 180 • phase shifts in the resonance, which results in switching between three-magnon splitting and confluence. These findings deepen the understanding of the transient behavior and directionality of three-magnon scattering.