Parabolic Metamaterials and Dirac Bridges
arXiv:1512.01545 · doi:10.1016/j.jmps.2016.05.006
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.
14 pages, 4 figures
References in corpus (6)
- The electronic properties of graphene
- The Rare Two-Dimensional Materials with Dirac Cones
- Do Linear Dispersions of Classical Waves Mean Dirac Cones?
- Trapped Modes and Steered Dirac Cones in Platonic Crystals
- Localisation for a line defect in an infinite square lattice
- The homogenisation of Maxwell's equations with applications to photonic crystals and localised waveforms on metafilms