# Modal Analysis Investigation of Mechanical Kerr Frequency Combs

## TL;DR

This paper explores the theoretical feasibility of generating Kerr frequency combs in mechanical MEMS devices, drawing analogies with optical microresonators and deriving conditions for comb formation.

## Contribution

It provides a theoretical framework and necessary conditions for mechanical Kerr comb generation in MEMS structures, a novel concept in the field.

## Key findings

- Derived parameter conditions for mechanical Kerr combs
- Proposed potential physical implementations
- Extended optical Kerr comb concepts to mechanical systems

## Abstract

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

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Source: https://tomesphere.com/paper/1902.10289