A collective modulation instability of multiple four-wave mixing

TL;DR

This paper explores a novel collective modulation instability in multiple four-wave mixing within optical fibers, using Floquet theory and numerical simulations to reveal new instability phenomena in the anomalous dispersion regime.

Contribution

It introduces a new type of collective modulation instability in multiple four-wave mixing, analyzed through Floquet theory and validated by nonlinear Schrödinger equation simulations.

Findings

Identification of a collective instability in the anomalous dispersion regime

Validation of linear stability analysis with numerical simulations

Insight into modulation instability mechanisms in dual-frequency pumped fibers

Abstract

We investigate the modulation instability of multiple four-wave mixing arising from a dual-frequency pump in a single-mode fiber or waveguide. By applying the Floquet theory on account of the periodic nature of four-wave mixing, we reveal a collective type of instability occurring in the anomalous dispersion regime. Our interpretation of the linear stability analysis is validated by the numerical solution of the nonlinear Schroedinger equation