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.
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