Solitons in nanostructured materials

Ildar Gabitov

Department of Mathematics, University of Arizona, 617 N. Santa Rita, Tucson, AZ 85721, USA

Nanostructures embedded in a host material are capable of dramatically changing their optical properties. The most exotic property is negative refractive index, recently observed experimentally in the optical domain. This phenomenon results from simultaneous magnetic and electrical resonant interactions of nanostructures with an external electromagnetic field. We will analyze energy confinement and self-induced transparency phenomena both in the simplest case of metallic nanospheres and nonlinear dynamics of solitary waves in dual resonance materials. Ultrashort pulse dynamics will be analyzed for the case of bulk materials as well as for surface waves.

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