Lines of Bound States in the Continuum in a Phononic Crystal Slab
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915228523954176 |
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| author | Yang, Lin Zheng, Riyi Zhang, Sheng Zhang, Wenshuai Du, Qiujiao Peng, Pai Wang, Ziyu Ke, Manzhu Huang, Xueqin Liu, Fengming |
| author_facet | Yang, Lin Zheng, Riyi Zhang, Sheng Zhang, Wenshuai Du, Qiujiao Peng, Pai Wang, Ziyu Ke, Manzhu Huang, Xueqin Liu, Fengming |
| contents | We demonstrate that bound states in the continuum (BICs) form continuous lines along high-symmetry directions of momentum space in a simple phononic crystal slab. Contrary to common sense, these BICs are symmetry-protected (SP) BICs not only at the center of the Brillouin zone (gamma point) but also off the gamma point. We utilize numerical simulations, a group theory method, and a mode expansion method to comprehensively understand the formation of the BICs. It is revealed that these BICs correspond to phase singularity lines of far-field radiation, and the phase winding number can be defined as a topological index. This makes the BICs topologically protected and robust to any parameter variation that maintains periodicity and rotational symmetry. Finally, the generation of the BICs lines is experimentally demonstrated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16674 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lines of Bound States in the Continuum in a Phononic Crystal Slab Yang, Lin Zheng, Riyi Zhang, Sheng Zhang, Wenshuai Du, Qiujiao Peng, Pai Wang, Ziyu Ke, Manzhu Huang, Xueqin Liu, Fengming Materials Science Classical Physics We demonstrate that bound states in the continuum (BICs) form continuous lines along high-symmetry directions of momentum space in a simple phononic crystal slab. Contrary to common sense, these BICs are symmetry-protected (SP) BICs not only at the center of the Brillouin zone (gamma point) but also off the gamma point. We utilize numerical simulations, a group theory method, and a mode expansion method to comprehensively understand the formation of the BICs. It is revealed that these BICs correspond to phase singularity lines of far-field radiation, and the phase winding number can be defined as a topological index. This makes the BICs topologically protected and robust to any parameter variation that maintains periodicity and rotational symmetry. Finally, the generation of the BICs lines is experimentally demonstrated. |
| title | Lines of Bound States in the Continuum in a Phononic Crystal Slab |
| topic | Materials Science Classical Physics |
| url | https://arxiv.org/abs/2410.16674 |