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Plasmonics

, Volume 13, Issue 3, pp 971–979 | Cite as

Spatial Nonlinearity in Anisotropic Metamaterial Plasmonic Slot Waveguides

  • Mahmoud M. R. Elsawy
  • Gilles RenversezEmail author
Article

Abstract

We study the main nonlinear solutions of plasmonic slot waveguides made from an anisotropic metamaterial core with a positive Kerr-type nonlinearity surrounded by two semi-infinite metal regions. First, we demonstrate that for a highly anisotropic diagonal elliptical core, the bifurcation threshold of the asymmetric mode is reduced from the GW/m level for the isotropic case to 50 MW/m level indicating a strong enhancement of the spatial nonlinear effects. In addition, the slope of the dispersion curve for the asymmetric mode remains positive, at least near the bifurcation, suggesting a stable mode. Second, we show that for the hyperbolic case, there is no physically meaningful asymmetric mode, and that the sign of the effective nonlinearity can become negative.

Keywords

Nonlinear waveguides Plasmonics Metamaterial Kerr effect Symmetry breaking Bifurcation Anisotropy 

Notes

Acknowledgements

G. R. would like to thank the PhD school ED 352 “Physique et Sciences de Matière” and the International Relation Service of Aix-Marseille University (project AAP 2015 ”Noliplasmo 2D”) for their respective fundings.

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Aix–Marseille Univ, CNRS, Centrale Marseille, Institut FresnelMarseilleFrance

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