A mathematical framework for tunable metasurfaces. Part I

Article type: Research Article

Authors: Ammari, Habib^{; *} | Imeri, Kthim | Wu, Wei

Affiliations: Department of Mathematics, ETH Zürich, Rämistrasse 101, CH-8092 Zürich, Switzerland. E-mails: habib.ammari@math.ethz.ch, kimeri@sam.math.ethz.ch, wei.wu@sam.math.ethz.ch

Correspondence: [*] Corresponding author. E-mail: habib.ammari@math.ethz.ch.

Abstract: 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.

Keywords: Subwavelength resonance, Helmholtz resonator, hybridization, metasurface

DOI: 10.3233/ASY-191520

Journal: Asymptotic Analysis, vol. 114, no. 3-4, pp. 129-179, 2019