Controlling elastic wave with isotropic transformation materials

TL;DR

This paper derives isotropic material parameters for elastodynamic transformation devices, enabling simpler design and practical realization of elastic wave control devices like beam benders and cloaks through local conformal transformations.

Contribution

It introduces a method to obtain isotropic transformed material parameters for elastic waves, simplifying device fabrication compared to traditional anisotropic approaches.

Findings

Validated isotropic material parameters through simulations.

Designed functional elastic wave devices using derived parameters.

Demonstrated practical feasibility of elastic wave control devices.

Abstract

There are great demands to design functional devices with isotropic materials, however the transformation method usually leads to anisotropic material parameters difficult to be realized in practice. In this letter, we derive the isotropic transformed material parameters in case of elastodynamic under local conformal transformation, they are subsequently used to design a beam bender, a four-beam antenna and an approximate carpet cloak for elastic wave with isotropic materials, the simulation results validate the derived transformed material parameters. The obtained materials are isotropic and greatly simplify subsequent experimental implementation.