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Rigorous electrodynamical simulations based on the nonlinear Drude model areperformed to investigate the influence of strong coupling on high harmonicgeneration by periodic metal gratings. It is shown that a thin dispersivematerial with a third order nonlinearity strongly coupled to surfaceplasmon-polaritons significantly affects even harmonics generated solely by themetal. The physical nature of this effect is explained using a simpleanalytical model and further supported by numerical simulations. Furthermore,the behavior of the second and third harmonics is investigated as a function ofvarious physical parameters of the model material system, revealing highlycomplex dynamics. The nonlinear optical response of 2D few-layer WS2 with bothsecond and third order susceptibilities coupled to a periodic plasmonic gratingis shown to have a significant effect on the second harmonic generation of themetal.

Harmonic generation by metal nanostructures optically coupled to 2D transition metal dichalcogenide