A mathematical framework for tunable metasurfaces. I. (English) Zbl 1443.35153

Summary: In this paper, a mathematical modeling of the physical mechanism underlying the concept of tunable metasurfaces is provided. The scattering properties of two metasurfaces are analyzed. The considered metasurfaces are designed by placing either a Helmholtz resonator or a pair of Helmholtz resonators in a periodic lattice. The subwavelength resonant properties and the concept of hybridization of Helmholtz resonators are exploited in order to shape the scattered waves in unusual way by such metasurfaces.


35Q61 Maxwell equations
78A45 Diffraction, scattering
74F15 Electromagnetic effects in solid mechanics
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35B34 Resonance in context of PDEs
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