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 analyzed, highlighting the main differences from the standard second-order dispersion case. In the anomalous regime, single and multi-peak localized 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 using a new, to the best of our knowledge, scenario reported here for the spatial eigenvalues, which imposes oscillatory tails to all localized states.
© 2022 Optica Publishing Group
Full Article | PDF ArticleMore Like This
Yifan Sun, Stefan Wabnitz, and Pedro Parra-Rivas
Opt. Lett. 48(20) 5403-5406 (2023)
Hossein Taheri and Andrey B. Matsko
Opt. Lett. 44(12) 3086-3089 (2019)
Pedro Parra-Rivas, Damià Gomila, Edgar Knobloch, Stéphane Coen, and Lendert Gelens
Opt. Lett. 41(11) 2402-2405 (2016)