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We theoretically describe and experimentally demonstrate dark soliton formation in a quadratic nonlinear resonator in lithium niobate nanophotonic. The dark pulses have a temporal duration of 40 fs and form a 120-nm-wide coherent frequency comb.more » « lessFree, publicly-accessible full text available May 4, 2026
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Parra-Rivas, P; Knobloch, E; Gelens, L; Gomila, D (, IMA Journal of Applied Mathematics)Abstract Localized coherent structures can form in externally driven dispersive optical cavities with a Kerr-type non-linearity. Such systems are described by the Lugiato–Lefever (LL) equation, which supports a large variety of dynamical states. Here, we review our current knowledge of the formation, stability and bifurcation structure of localized structures in the one-dimensional LL equation. We do so by focusing on two main regimes of operation: anomalous and normal second-order dispersion. In the anomalous regime, localized patterns are organized in a homoclinic snaking scenario, which is eventually destroyed, leading to a foliated snaking bifurcation structure. In the normal regime, localized structures undergo a different type of bifurcation structure, known as collapsed snaking. The effects of third-order dispersion and various dynamical regimes are also described.more » « less
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