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We study the strong coupling between the molecular excited state and theplasmonic modes of silver hole arrays with a resonant frequency very close tothe asymptotic line of the plasmonic dispersion relation, at the nonlinearregime. We demonstrate that the strong coupling regime can be achieved betweenthe two sub-systems at low molecular densities with negligible damping of theelectromagnetic field. Our results are supported by rigorous numericalsimulations showing that the strong coupling is observed when the moleculartransition lies within the nonlinear regime of the dispersion relation ratherthan the linear regime.

Molecular Plasmonics: strong coupling at the low molecular density limit