Quartic Kerr cavity combs: Bright and dark solitons

TL;DR

This paper explores the behavior and stability of bright and dark solitons in Kerr cavities driven at fourth-order dispersion, revealing new stability regimes and eigenvalue scenarios in both normal and anomalous dispersion regimes.

Contribution

It introduces a theoretical analysis of localized states in Kerr cavities at fourth-order dispersion, highlighting differences from the standard second-order case and proposing a new eigenvalue scenario.

Findings

Stable multi-peak localized states in anomalous dispersion

Existence of stable narrow bright solitons in normal dispersion

Oscillatory tails due to a new eigenvalue scenario

Abstract

We theoretically investigate the dynamics, bifurcation structure and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the normal and anomalous group velocity dispersion regimes are analysed, highlighting the main differences with the standard second order dispersion case. In the anomalous regime, single and multi-peak localised states exist and are stable over a much wider region of the parameter space. In the normal dispersion regime, stable narrow bright solitons exist. Some of our findings can be understood by a new scenario reported here for the spatial eigenvalues, which imposes oscillatory tails to all localised states. To be published in Optics Letters.