Wave packets propagation in the subwavelength regime near the Dirac point

Autor: Ammari, Habib, Fu, Xin, Jing, Wenjia
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Comments are welcome
Databáze: arXiv