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Dynamical instabilities of dissipative solitons in nonlinear optical cavities with nonlocal materials

AuthorsGelens, Lendert ; Gomila, Damià ; Van der Sande, Guy ; Danckaert, Jan; Colet, Pere ; Matías, Manuel A.
Optical Kerr effect
Optical solitons
[PACS] Dynamics of nonlinear optical systems
[PACS] Nonlinear dynamics and chaos
[PACS] Optical solitons; nonlinear guided waves
Issue Date21-Mar-2008
PublisherAmerican Physical Society
CitationPhysical Review A 77(3): 033841 (2008)
AbstractIn this work we characterize the dynamical instabilities of localized structures exhibited by a recently introduced [Gelens et al., Phys. Rev. A 75, 063812 (2007)] generalization of the Lugiato-Lefever model to include a weakly nonlocal response of an intracavity metamaterial. A rich scenario, in which the localized structures exhibit different types of oscillatory instabilities, tristability, and excitability, including a regime of conditional excitability in which the system is bistable, is presented and discussed. Finally, it is shown that the scenario is organized by a pair of Takens-Bogdanov codimension-2 points.
Description7 pages, 9 figures.-- PACS nrs.: 42.65.Sf; 05.45.-a; 42.65.Tg.-- ArXiv pre-print available at: http://arxiv.org/abs/0810.2808
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevA.77.033841
Appears in Collections:(IFISC) Artículos
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