Elastic metasurfaces for splitting SV- and P-waves in elastic solids

TL;DR

This paper introduces a simple, fabricable elastic metasurface design that manipulates SV-waves in solids, enabling wavefront control and wave splitting with potential applications in elastic wave engineering.

Contribution

The authors propose a novel metasurface design using parallel cracks as waveguides to control SV-waves, providing an analytical model and demonstrating wave manipulation through simulations.

Findings

Achieved a full 2π phase delay range by varying plate thickness.

Successfully designed metasurfaces for SV-wave focusing and splitting.

Validated the design with finite element simulations.

Abstract

Although recent advances have made it possible to manipulate electromagnetic and acoustic wavefronts with sub-wavelength metasurface slabs, the design of elastodynamic counterparts remains challenging. We introduce a novel but simple design approach to control SV-waves in elastic solids. The proposed metasurface can be fabricated by cutting an array of aligned parallel cracks in a solid such that the materials between the cracks act as plate-like waveguides in the background medium. The plate array is capable of modulating the phase change of SV-wave while keeping the phase of P-wave unchanged. An analytical model for SV-wave incidence is established to calculate the transmission coefficient and the transmitted phase through the plate-like waveguide explicitly. A complete $2\pi$ range of phase delay is achieved by selecting different thicknesses for the plates. An elastic metasurface for splitting SV- and P-waves is designed and demonstrated using full wave finite element (FEM) simulations. Two metasurfaces for focusing plane and cylindrical SV-waves are also presented.