Coexistence of multiple multimode nonlinear mixing regimes in a microelectromechanical device

This paper builds on the recent demonstrations of two-mode three-wave mixing and three-mode four-wave mixing pathways. In these individual mixing mechanisms, the drive and resonant frequencies intrinsically couple to generate frequency combs with spacing defined by the separation between drive and resonant frequencies. Such frequency combs resulting from N-mode N + 1-wave mixing processes possess spectral characteristics which are strikingly different from those of nominal N-mode parametric resonances. Now, in this paper, we experimentally show the possibility to simultaneously trigger one N = N 1-mode N = N 1 + 1-wave mixing and one nominal N = N 2-mode parametric resonance through the significant drive of a single phonon mode. This specific demonstration, when set alongside previous studies, represents an important step towards understanding phononic frequency comb processes.