Coexistence of vector soliton Kerr combs in normal dispersion resonators

• Published in: arXiv.org
• Main Authors: Kostet, B, Soupart, Y, Panajotov, K, Tlidi, M
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 29.07.2021
• Subjects: Coupled modes; Dispersion; Electrons; Locking; Optical resonators; Physics - Optics; Physics - Pattern Formation and Solitons; Polarization; Solitary waves
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2107.13959

We investigate the formation of dark vector localized structures in the presence of nonlinear polarization mode coupling in optical resonators subject to a coherent optical injection in the normal dispersion regime. This simple device is described by coupled Lugiato-Lefever equations. The stabilization of localized structures is attributed to a front locking mechanism. We show that in a multistable homogeneous steady-state regime, two branches of dark localized structures can coexist for a fixed value of the system parameters. These coexisting solutions possess different polarization states and different power peaks in the microresonator. We characterize in-depth their formation by drawing their bifurcation diagrams in regimes close to modulational instability and far from it. It is shown that both branches of localized structures exhibit a heteroclinic collapse snaking type of behavior. The coexistence of two vectorial branches of dark localized states is not possible without taking into account polarization degrees of freedom.