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

Ammari, Habib; Imeri, Kthim; Wu, Wei

Asymptotic Anal. 114, No. 3-4, 129-179 (2019).

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

Keywords:

subwavelength resonance; Helmholtz resonator; hybridization; metasurface