Journal
OPTICS LETTERS
Volume 47, Issue 10, Pages 2438-2441Publisher
Optica Publishing Group
DOI: 10.1364/OL.455944
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Funding
- European Union [101023717]
- NSF RTG grant [DMS-1840260]
- [NSF/DMS-1909559]
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We theoretically investigate the dynamics, bifurcation structure, and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. The study reveals the existence of stable narrow bright solitons in the normal group velocity dispersion regime and stable single and multi-peak localized states in the anomalous regime over a wider parameter space.
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. (C) 2022 Optica Publishing Group
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