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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.04097 |
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| _version_ | 1866917770248060928 |
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| author | Ammari, Habib Fu, Xin Jing, Wenjia |
| author_facet | Ammari, Habib Fu, Xin Jing, Wenjia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04097 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wave packets propagation in the subwavelength regime near the Dirac point Ammari, Habib Fu, Xin Jing, Wenjia Analysis of PDEs Mathematical Physics 35B27, 35J05, 35C20 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. |
| title | Wave packets propagation in the subwavelength regime near the Dirac point |
| topic | Analysis of PDEs Mathematical Physics 35B27, 35J05, 35C20 |
| url | https://arxiv.org/abs/2409.04097 |