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

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

2008-09-02

arxiv.org/abs/0809.0487v2

Opt. Express 16, 19785-19798 (2008)

Physics

Optics

Scientific paper

10.1364/OE.16.019785

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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