Tilted resonators in a triangular elastic lattice: chirality, Bloch waves and negative refraction



Tallarico, D, Movchan, NV, Movchan, AB and Colquitt, DJ
(2000) Tilted resonators in a triangular elastic lattice: chirality, Bloch waves and negative refraction. Unknown. (Submitted)

WarningThere is a more recent version of this item available.
[img] Text
1608.00968v1.pdf - Submitted version

Download (7MB)

Abstract

We consider a vibrating triangular mass-truss lattice whose unit cell contains a resonator of a triangular shape. The resonators are connected to the triangular lattice by trusses. Each resonator is tilted, i.e. it is rotated with respect to the triangular lattice's unit cell through an angle $\vartheta_0$. This geometrical parameter is responsible for the emergence of a resonant mode in the Bloch spectrum for elastic waves and strongly affects the dispersive properties of the lattice. Additionally, the tilting angle $\vartheta_0$ triggers the opening of a band gap at a Dirac-like point. We provide a physical interpretation of these phenomena and discuss the dynamical implications on elastic Bloch waves. The dispersion properties are used to design a structured interface containing tilted resonators which exhibit negative refraction and focussing, as in a "flat elastic lens".

Item Type: Article
Additional Information: Preprint of a research article. 26 pages, 39 figures, 2 tables
Uncontrolled Keywords: physics.class-ph, physics.class-ph, cond-mat.mtrl-sci, cond-mat.soft
Depositing User: Symplectic Admin
Date Deposited: 30 Nov 2016 14:54
Last Modified: 19 Jan 2023 07:24
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3004703

Available Versions of this Item