Analytical model for active metamaterials with quantum ingredients

A. Chipouline*, S. Sugavanam, V.A. Fedotov, A.E. Nikolaenko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We present an analytical model for describing complex dynamics of a hybrid system consisting of resonantly coupled classical resonator and quantum structures. Classical resonators in our model correspond to plasmonic metamaterials of various geometries, as well as other types of nano- and microstructure, the optical responses of which can be described classically. Quantum resonators are represented by atoms or molecules, or their aggregates (for example, quantum dots, carbon nanotubes, dye molecules, polymer or bio-molecules etc), which can be accurately modelled only with the use of the quantum mechanical approach. Our model is based on the set of equations that combines well established density matrix formalism appropriate for quantum systems, coupled with harmonic-oscillator equations ideal for modelling sub-wavelength plasmonic and optical resonators. As a particular example of application of our model, we show that the saturation nonlinearity of carbon nanotubes increases multifold in the resonantly enhanced near field of a metamaterial. In the framework of our model, we discuss the effect of inhomogeneity of the carbon-nanotube layer (bandgap value distribution) on the nonlinearity enhancement.

Original languageEnglish
Article number114005
Number of pages8
JournalJournal of Optics
Volume14
Issue number11
Early online date26 Sep 2012
DOIs
Publication statusPublished - Nov 2012

Keywords

  • CNT
  • homogenization
  • nonlinear optics
  • optical metamaterials
  • quantum dynamics

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