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Proceedings Paper

Weakly nonlinear analysis and localised structures in nonlinear cavities with metamaterials
Author(s): N. Slimani; A. Makhoute; M. Tlidi
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Paper Abstract

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 term. We assume that both left-handed and right-handed materials possess a Kerr focusing type of nonlinearity. We show that close to the zero-diffraction regime, high-order diffraction effect allows us to stabilise dark localised structures in this device. These structures consist of dips or holes in the transverse profile of the intracavity field and do not exist without high-order diffraction effects. We show that high order diffraction effects alter 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 the transition from super- to sub-critical bifurcation occurs. When the modulational instability appears subcritically, we show that bright localised structures of light may be generated in two-dimensional setting. Close to the second threshold associated with the Turing instability, dark localised structures are generated.

Paper Details

Date Published: 28 April 2016
PDF: 6 pages
Proc. SPIE 9892, Semiconductor Lasers and Laser Dynamics VII, 98921F (28 April 2016); doi: 10.1117/12.2229874
Show Author Affiliations
N. Slimani, Univ. Libre de Bruxelles (Belgium)
Univ. Moulay Ismail (Morocco)
A. Makhoute, Univ. Moulay Ismaïl (Morocco)
M. Tlidi, Univ. Libre de Bruxelles (Belgium)

Published in SPIE Proceedings Vol. 9892:
Semiconductor Lasers and Laser Dynamics VII
Krassimir Panajotov; Marc Sciamanna; Angel Valle; Rainer Michalzik, Editor(s)

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