Bibliographic Details
| Title: |
Wave Packets Propagation in the Subwavelength Regime Near the Dirac Point. |
| Authors: |
Ammari, Habib1 (AUTHOR) habib.ammari@math.ethz.ch, Fu, Xin2 (AUTHOR) fux20@mails.tsinghua.edu.cn, Jing, Wenjia2,3 (AUTHOR) wjjing@tsinghua.edu.cn |
| Source: |
Archive for Rational Mechanics & Analysis. Apr2026, Vol. 250 Issue 2, p1-67. 67p. |
| Subjects: |
Wave packets, Dirac operators, Phononic crystals, Honeycomb structures, Theory of wave motion, Dispersion relations |
| Abstract: |
In Ammari et al. (SIAM J Math Anal 52:5441–5466, 2020), 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 packet, which are spectrally concentrated near such conical points. We prove that the wave packet dynamic is governed by a time-dependent effective Dirac system, which still depends, but in a simple way, on the subwavelength scale. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
