Slimani, N. and Makhoute, A. and Tlidi, M. (2016) Weakly nonlinear analysis and localized structures in nonlinear cavities with metamaterials. In: UNSPECIFIED.

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We consider an optical ring cavity filled with a metamaterial and with a Kerr medium. The cavity is driven by a coherent radiation beam. The modelling of this device leads to the well known Lugiato-Lefever equation with high order diffraction. We show that this effect alters in depth the space-time dynamics of this device. A weakly nonlinear analysis in the vicinity of the first threshold associated with the Turing instability is performed. This analysis allows us to determine the parameter regime where transition from super- to sub-critical bifurcation occurs. When the modulational instability appears subcritically, we show that bright localized structures of light may be generated in two-dimensional setting. Close to the second threshold associated with the Turing instability, dark localized structures are generated and their snaking bifurcation diagram is constructed. © Springer International Publishing Switzerland 2016.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Uncontrolled Keywords: Bifurcation (mathematics); Dynamics; Metamaterials, Bifurcation diagram; Coherent radiation; Localized structures; Modulational instability; Nonlinear cavities; Optical ring cavity; Space-time dynamics; Sub-critical bifurcations, Nonlinear analysis
Subjects: Physics and Astronomy
Divisions: SCIENTIFIC PRODUCTION > Physics and Astronomy
Depositing User: Administrateur Eprints Administrateur Eprints
Last Modified: 31 Jan 2020 15:49

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