Synchronization in fiber lasers arrays

TL;DR

This paper investigates how fiber laser arrays coupled via nearest neighbors can achieve temporal coherence, using a generalized nonlinear Schrödinger model with graph Laplacian to analyze mode interactions.

Contribution

It introduces a model with graph Laplacian for fiber laser arrays and demonstrates the absence of resonant energy transfer in asymmetric graphs, ensuring coherence.

Findings

No resonant energy transfer in asymmetric graphs

Arrays can be made temporally coherent

Model confirms coherence in simple graph

Abstract

We consider an array of fiber lasers coupled through the nearest neighbors. The model is a generalized nonlinear Schroedinger equation where the usual Laplacian is replaced by the graph Laplacian. For a graph with no symmetries, we show that there is no resonant transfer of energy between the different eigenmodes. We illustrate this and confirm our result on a simple graph. This shows that arrays of fiber ring lasers can be made temporally coherent.