Impact of third order dispersion on nonlinear bifurcations in optical resonators

TL;DR

This paper investigates how third order dispersion influences nonlinear bifurcations in optical resonators, revealing that symmetry breaking can change bifurcation types and providing analytical and numerical insights into these transitions.

Contribution

It derives an amplitude equation for nonlinear fiber cavities and analytically characterizes the critical transition curve considering third order dispersion effects.

Findings

Symmetry breaking affects bifurcation nature in dissipative systems.

Analytical expression for the critical transition curve is obtained.

Predictions match numerical solutions of the full dynamical model.

Abstract

It is analytically shown that symmetry breaking, in dissipative systems, affects the nature of the bifurcation at onset of instability resulting in transitions from super to subcritical bifurcations. In the case of a nonlinear fiber cavity, we have derived an amplitude equation to describe the nonlinear dynamics above threshold. An analytical expression of the critical transition curve is obtained and the predictions are in excellent agreement with the numerical solutions of the full dynamical model.