Localized surface plate modes via flexural Mie resonances

Abstract

Surface-plasmon polaritons are naturally generated upon excitation of metals with high-frequency electromagnetic waves. However, the concept of spoof plasmons has made it possible to generate plasmoniclike effects in microwave electrodynamics, magnetics, and even acoustics. Similarly, in this paper, the concept of localized surface plate modes (SPMs) is introduced. It is demonstrated that SPMs can be generated on a two-dimensional (clamped or stress-free) cylindrical surface with subwavelength corrugations, which resides on a thin elastic plate, under excitation by an incident flexural plane wave. Numerical characterization of this corrugated rigid structure shows that it is elastically equivalent to a cylindrical scatterer with dispersive but uniformly negative flexural rigidity. This, indeed, suggests that plasmoniclike elastic materials can be engineered with potential applications in various areas including earthquake sensing and elastic imaging and cloaking.

Spacetime modulation in floating thin elastic plates

“…On the other hand, flexural-gravity waves obey a sixth order partial differential equation (PDE) and describe the flexural motion [28,29] in thin elastic plates floating atop inviscid and incompressible fluids (e.g., water) [30]. For instance, manmade engineered offshore structures, such as airports or newly built floating islands [31,32] are considered as thin-mat configurations where the horizontal dimensions extend for few kilometers and the thickness is around a few meters.…”

Parity-Time Symmetry and Exceptional Points for Flexural-Gravity Waves in Buoyant Thin-Plates

“…The coupling between the flexural mode of a TEP and hydrodynamic surface waves results in a modified higher order PDE (See Section 2.1) that governs vertical displacement in a buoyant plate. The scalar feature allows for an easier treatment of flexural waves, and several studies considered some exotic effects in floating plates, such as SCT [27], cloaking [28,29], negative refraction [30], localized surface plate modes [31], gratings [32], elastic plate crystals [33], to name a few.…”

Localization in semi-infinite herringbone waveguides

“…The ability to customize systems to control the direction and amplification of flexural waves is important for the design of metamaterials and microstructured systems that possess special properties unattainable with natural materials. Recently, scattering of flexural waves in the context of metamaterial applications was discussed in [9,10]. An attraction of structured Kirchhoff plates is that many of the methods and ideas associated with photonic crystals can be applied to platonic crystals [11].…”