Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities

• Published in: IMA journal of applied mathematics Vol. 86; no. 5; pp. 856 - 895
• Main Authors: Parra-Rivas, P, Knobloch, E, Gelens, L, Gomila, D
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.10.2021
• Subjects: non-linear optics; bifurcation structure; homoclinic snaking; collapsed snaking

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...