English

Quartic Kerr cavity combs: Bright and dark solitons

Pattern Formation and Solitons 2022-05-18 v1 Optics

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.

Keywords

Cite

@article{arxiv.2204.14143,
  title  = {Quartic Kerr cavity combs: Bright and dark solitons},
  author = {Pedro Parra-Rivas and Sabrina Hetzel and Yaroslav V. Kartashov and Pedro Fernández de Córdoba and J. Alberto Conejero and Alejandro Aceves and Carles Milian},
  journal= {arXiv preprint arXiv:2204.14143},
  year   = {2022}
}

Comments

To be published in Optics Letters

R2 v1 2026-06-24T11:02:43.575Z