Phononic Thin Plates with Embedded Acoustic Black Holes

TL;DR

This paper presents a novel two-dimensional phononic material with embedded acoustic black holes that exhibits unique dispersion properties like zero group velocity and negative refraction, analyzed through numerical simulations.

Contribution

Introduces a new class of non-resonant phononic plates with embedded acoustic black holes and characterizes their unusual dispersion features.

Findings

Achieves zero group velocity in fundamental modes

Demonstrates negative group refraction index

Reveals mode anisotropy and bi-refraction phenomena

Abstract

We introduce a class of two-dimensional non-resonant single-phase phononic materials and investigate its peculiar dispersion characteristics. The material consists of a thin plate-like structure with an embedded periodic lattice of Acoustic Black Holes. The use of these periodic tapers allows achieving remarkable dispersion properties such as Zero Group Velocity in the fundamental modes, negative group refraction index, bi-refraction, and mode anisotropy. The dispersion properties are numerically investigated using a three-dimensional supercell plane wave expansion method. The effect on the dispersion characteristics of key geometric parameters of the black hole, such as the taper profile and the residual thickness, are also explored.