Desynchronization of temporal solitons in Kerr cavities with pulsed injection

TL;DR

This paper investigates how and why temporal solitons in Kerr cavities become desynchronized from external pulsed injection, revealing bifurcation mechanisms and proposing a criterion for desynchronization.

Contribution

It provides a combined numerical and analytical analysis of bifurcation mechanisms causing soliton desynchronization in Kerr cavities, introducing a new criterion for this phenomenon.

Findings

Desynchronization occurs mainly through an Andronov-Hopf bifurcation.

A simple criterion for bifurcation occurrence is proposed.

The study enhances understanding of soliton dynamics in Kerr cavities.

Abstract

A numerical and analytical study was conducted to investigate the bifurcation mechanisms that cause desynchronization between the soliton repetition frequency and the frequency of external pulsed injection in a Kerr cavity described by the Lugiato-Lefever equation. The results suggest that desynchronization typically occurs through an Andronov-Hopf bifurcation. Additionally, a simple and intuitive criterion for this bifurcation to occur is proposed.