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

2008/09/04 by Martin Wegener, Juan Luis García‐Pomar, Juan Luis Garcia-Pomar +6
Engineering · Physics and Astronomy · #Fano resonance #Inversion (geology) #Laser #Lasing threshold #Metamaterial #Optics #Photonic Crystals and Applications #Photonic and Optical Devices #Physics #Plasmon #Plasmonic and Surface Plasmon Research #Relaxation (psychology) #physics.optics

paper · pdf · doi:10.1364/oe.16.019785

published as Opt. Express 16, 19785-19798 (2008)

arxiv created 2008/09/04 · openalex publication_date 2008/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations