Nonlocal Raman response in Kerr resonators: moving temporal localized structures and bifurcation structure
Author
dc.contributor.author
Clerc Gavilán, Marcel
Author
dc.contributor.author
Coulibaly, S.
Author
dc.contributor.author
Parra Rivas, P.
Author
dc.contributor.author
Tlidi, M.
Admission date
dc.date.accessioned
2020-11-30T21:05:41Z
Available date
dc.date.available
2020-11-30T21:05:41Z
Publication date
dc.date.issued
2020
Cita de ítem
dc.identifier.citation
Chaos 30 (2020): 083111
es_ES
Identifier
dc.identifier.other
10.1063/5.0007350
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/177930
Abstract
dc.description.abstract
A ring resonator made of a silica-based optical fiber is a paradigmatic system for the generation of dissipative localized structures or dissipative solitons. We analyze the effect of the non-instantaneous nonlinear response of the fused silica or the Raman response on the formation of localized structures. After reducing the generalized Lugiato-Lefever to a simple and generic bistable model with a nonlocal Raman effect, we investigate analytically the formation of moving temporal localized structures. This reduction is valid close to the nascent bistability regime, where the system undergoes a second-order critical point marking the onset of a hysteresis loop. The interaction between fronts allows for the stabilization of temporal localized structures. Without the Raman effect, moving temporal localized structures do not exist, as shown in M. G. Clerc, S. Coulibaly, and M. Tlidi, Phys. Rev. Res. 2, 013024 (2020). The detailed derivation of the speed and the width associated with these structures is presented. We characterize numerically in detail the bifurcation structure and stability associated with the moving temporal localized states. The numerical results of the governing equations are in close agreement with analytical predictions.
es_ES
Patrocinador
dc.description.sponsorship
Millennium Institute for Research in Optics (MIRO)
Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)
CONICYT FONDECYT
1180903
Fonds de la Recherche Scientifique - FNRS
European Union (EU)