Parametric frequency mixing in the magneto-elastically driven FMR-oscillator

TL;DR

This paper demonstrates nonlinear frequency conversion in ferromagnetic resonance driven by elastic waves, showing magneto-elastic effects enable second harmonic, sum/difference frequency mixing, and parametric downconversion, supported by analytical modeling.

Contribution

It introduces a theoretical framework for elastically driven nonlinear parametric oscillation in FMR, highlighting the role of parametric modulation in frequency mixing.

Findings

Observation of second harmonic generation and frequency mixing in FMR

Analytical model describing elastically driven nonlinear oscillations

Frequency mixing dominated by parametric modulation of FMR

Abstract

We demonstrate the nonlinear frequency conversion of ferromagnetic resonance (FMR) frequency by optically excited elastic waves in a thin metallic film on dielectric substrates. Time-resolved probing of the magnetization directly witnesses magneto-elastically driven second harmonic generation, sum- and difference frequency mixing from two distinct frequencies, as well as parametric downconversion of each individual drive frequency. Starting from the Landau-Lifshitz-Gilbert equations, we derive an analytical equation of an elastically driven nonlinear parametric oscillator and show that frequency mixing is dominated by the parametric modulation of FMR frequency.