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arXiv · 0809.0487

Toy model for plasmonic metamaterial resonances coupled to two-level system gain

Martin Wegener·Juan Luis Garcia-Pomar·Costas M. Soukoulis·Nina Meinzer·Matthias Ruther·Stefan Linden
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Abstract

We propose, solve, and discuss a simple model for a metamaterial incorporating optical gain: A single bosonic resonance is coupled to a fermionic (inverted) two-level-system resonance via local-field interactions. For given steady-state inversion, this model can be solved analytically, revealing a rich variety of (Fano) absorption/gain lineshapes. We also give an analytic expression for the fixed inversion resulting from gain pinning under steady-state conditions. Furthermore, the dynamic response of the 'lasing SPASER', i.e., its relaxation oscillations, can be obtained by simple numerical calculations within the same model. As a result, this toy model can be viewed as the near-field-optical counterpart of the usual LASER rate equations.

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Martin Wegener, Juan Luis Garcia-Pomar, Costas M. Soukoulis, Nina Meinzer, Matthias Ruther, Stefan Linden. 2008-09-04. Toy model for plasmonic metamaterial resonances coupled to two-level system gain. https://doi.org/10.1364/oe.16.019785

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