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Résumé:

Metasurfaces are planar metamaterials that consist of a single or a few stack of subwavelength thickness metal-dielectric layers. They could be periodically structured or not with subwavelength scale patterns according to the transverse directions. The strong interac- tion between an electromagnetic field components and these surfaces, exhibits some properties that could not be found in nature. These artificial properties strongly depend on the shape and arrangement of the elementary patterns and they are often linked to a plasmon resonance phe- nomenon. Metasurfaces working in the visible range generally consist in periodical arrangments of plasmonic resonators. These resonators are inherently muti-scale, as their responses relie on the excitation of resonances in very small gaps, like in the case of gap-plasmon resonators [1] or for bow-tire antennas. The simulation of their electromagnetic response can be very challeng- ing and may be successfully treated thanks to a modal method holding the complexity of the patterns shape. Here we present a polynomial modal method [2–5] that is particularly suited for the simulation of metallic structures. Advanced coordinates transformation such as matched coordinates and tilted coordinates are included in order to hold efficiently the complexity of the geometry without any approximation. Such a tool even offers the possibility to control the way the resonators are periodically arranged.