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We present a semi-analytical model of the resonance phenomena occurring in ahybrid system made of a 1D array of periodic subwavelength slits deposited onan insulator/graphene layer. We show that the spectral response of this hybridsystem can be fully explained by a simple semi-analytical model based on a weakand strong couplings between two elementary sub-systems. The first elementarysub-system consists of a 1D array of periodic subwavelength slits viewed as ahomogeneous medium. In this medium lives a metal-insulator-metal lattice modeinteracting with surface and cavity plasmon modes. A weak coupling with surfaceplasmon modes on both faces of the perforated metal film leads to a broadbandspectrum while a strong coupling between this first sub-system and a second onemade of a graphene-insulator-metal gap leads to a narrow band spectrum. Weprovide a semi-analytical model based on these two interactions allowing toefficiently access the full spectrum of the hybrid system.

Coupling between subwavelength nano-slits lattice modes and metal-insulator-graphene cavity modes: A semi-analytical model