Wave packets propagation in the subwavelength regime near the Dirac point
Analysis of PDEs
2024-09-09 v1 Mathematical Physics
math.MP
Abstract
In [Ammari et al., SIAM J Math Anal., 52 (2020), pp. 5441--5466], the first author with collaborators proved the existence of Dirac dispersion cones at subwavelength scales in bubbly honeycomb phononic crystals. In this paper, we study the time-evolution of wave packets that are spectrally concentrated near such conical points. We prove that the wave packets dynamics is governed by a time-dependent effective Dirac system, which still depends, but in a simple way, on the subwavelength scale.
Cite
@article{arxiv.2409.04097,
title = {Wave packets propagation in the subwavelength regime near the Dirac point},
author = {Habib Ammari and Xin Fu and Wenjia Jing},
journal= {arXiv preprint arXiv:2409.04097},
year = {2024}
}
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