English

Parabolic Metamaterials and Dirac Bridges

Materials Science 2016-09-21 v1

Abstract

A new class of multi-scale structures, referred to as `parabolic metamaterials' is introduced and studied in this paper. For an elastic two-dimensional triangular lattice, we identify dynamic regimes, which corresponds to so-called `Dirac Bridges' on the dispersion surfaces. Such regimes lead to a highly localised and focussed unidirectional beam when the lattice is excited. We also show that the flexural rigidities of elastic ligaments are essential in establishing the `parabolic metamaterial' regimes.

Keywords

Cite

@article{arxiv.1512.01545,
  title  = {Parabolic Metamaterials and Dirac Bridges},
  author = {D. J. Colquitt and N. V. Movchan and A. B. Movchan},
  journal= {arXiv preprint arXiv:1512.01545},
  year   = {2016}
}

Comments

14 pages, 4 figures

R2 v1 2026-06-22T12:01:55.788Z