Multiplexing-oriented nonlinear plasmon-assisted MoS$_2$ metasurfaces driven by the quasi bound states in the continuum

Rapid progress in nanofabrication techniques has enabled many novel optical characteristics for metasurfaces. However, the research of nonlinear plasmonic metasurfaces is still rather superficial, due to the lack of a clear physical picture to depict their working mechanisms. Here we provide a comprehensive theoretical study on the properties of nonlinear plasmon-assisted MoS$_2$ hybrid metasurfaces that originate from the bound states in the continuum (BICs), from the perspective of both classical and quantum approaches. New mechanisms to identify and create the trapped resonances that fueled by BICs are elaborated. By exploiting the sharp resonances of light-capturing modes, we demonstrate that the optical nonlinearity can be significantly boosted and smartly tuned. Utilizing both the plasmon-polariton resonance and plasmonic quasi-BICs, ultra-high nonlinear susceptibilities at different wavelength windows can be obtained at the same time. This wavelength-multiplexed nonlinear metasurfaces have many potential applications in frequency metrology, timing characterization, quantum information, etc, where multiple color signals need to be nonlinearly processed simultaneously. This work will also raise deeper exploration and lead new directions for experimental plasmonic BICs.