Modal Analysis Investigation of Mechanical Kerr Frequency Combs

Abstract

The aim of this work is to theoretically investigate the possibility of Kerr frequency combs in mechanical systems. In particular, whether microelectromechanical devices (MEMS) can be used to generate frequency combs in a manner that is analogous to the optical frequency combs generated in optical microresonators with Kerr-type nonlinearity. The analysis assumes a beam-like micromechanical structure, and starting from the Euler-Bernoulli beam equation derives the necessary conditions in parameter space for the comb generation. The chapter equally presents potential means for the physical implementation of mechanical Kerr combs.

Generation of Soliton Frequency Combs in NEMS

“…They exploit higher frequency modes to play the role of a so-called phononic-cavity. However, achieving multimodal mechanical FCs with a number of combs comparable to OFCs remains a significant challenge, 35 which we try to address in this work.…”

A Kuramoto Network in a Single Nonlinear Microelectromechanical Device

“…Only quasi-dc mode-coupling is being considered, which implies that no resonant four-wave mixing should exist between the modes, i.e. 2ω i − ω j − ω k = 0 [41,42].…”