Onset of wavenumber bandgaps via alternating Willis coupling signs
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916660161544192 |
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| author | Ba'ba'a, Hasan B. Al |
| author_facet | Ba'ba'a, Hasan B. Al |
| contents | This article introduces a methodology for inducing wavenumber bandgaps via alternating Willis coupling signs. A non-reciprocal wave equation of Willis-type is first considered, and its wave dispersion analyses are carried out via the transfer matrix method. By creating unit cells from two identical Willis-type elastic layers, yet with reversed Willis-coupling signs, a reciprocal band structure peculiarly emerges, although each layer exhibits non-reciprocity if considered individually. Wavenumber bandgaps open due to such unit cell configuration, and their width and limits are analytically quantified. Similarities between materials with reversed-sign Willis coupling and bi-layered phononic crystals are noted, followed by concluding remarks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06798 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Onset of wavenumber bandgaps via alternating Willis coupling signs Ba'ba'a, Hasan B. Al Optics Materials Science Applied Physics This article introduces a methodology for inducing wavenumber bandgaps via alternating Willis coupling signs. A non-reciprocal wave equation of Willis-type is first considered, and its wave dispersion analyses are carried out via the transfer matrix method. By creating unit cells from two identical Willis-type elastic layers, yet with reversed Willis-coupling signs, a reciprocal band structure peculiarly emerges, although each layer exhibits non-reciprocity if considered individually. Wavenumber bandgaps open due to such unit cell configuration, and their width and limits are analytically quantified. Similarities between materials with reversed-sign Willis coupling and bi-layered phononic crystals are noted, followed by concluding remarks. |
| title | Onset of wavenumber bandgaps via alternating Willis coupling signs |
| topic | Optics Materials Science Applied Physics |
| url | https://arxiv.org/abs/2412.06798 |