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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.

MSC:

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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