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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.12374 |
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| _version_ | 1866915025997791232 |
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| author | Liang, Huawei Liu, Yuanzhi Zeng, Yu-Jia Cai, Yangjian Ning, Tingyin |
| author_facet | Liang, Huawei Liu, Yuanzhi Zeng, Yu-Jia Cai, Yangjian Ning, Tingyin |
| contents | A theory based on the superposition principle is developed to uncover the basic physics of the wave behavior in a finite grating of N unit cells. The theory reveals that bound states in the continuum (BICs) of infinite quality factor (Q-factor) can be supported by such grating when the perfect reflection is introduced at its boundaries. If geometrical perturbations are introduced in the structure, the dark BICs transit to bright quasi-BICs of finite Q-factor, whose spectral behaviors are nearly the same as that of quasi-BICs supported by infinite gratings. When the boundaries are replaced with metallic mirrors of high reflectivity, the Q-factor of the resonant mode is reduced to be finite; however, it can be much larger than that in the corresponding nanostructure of open boundaries and can be tuned in a large range by varying the number of unit cells or boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12374 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bound states in the continuum of infinite quality factor in finite unit cells Liang, Huawei Liu, Yuanzhi Zeng, Yu-Jia Cai, Yangjian Ning, Tingyin Optics A theory based on the superposition principle is developed to uncover the basic physics of the wave behavior in a finite grating of N unit cells. The theory reveals that bound states in the continuum (BICs) of infinite quality factor (Q-factor) can be supported by such grating when the perfect reflection is introduced at its boundaries. If geometrical perturbations are introduced in the structure, the dark BICs transit to bright quasi-BICs of finite Q-factor, whose spectral behaviors are nearly the same as that of quasi-BICs supported by infinite gratings. When the boundaries are replaced with metallic mirrors of high reflectivity, the Q-factor of the resonant mode is reduced to be finite; however, it can be much larger than that in the corresponding nanostructure of open boundaries and can be tuned in a large range by varying the number of unit cells or boundary conditions. |
| title | Bound states in the continuum of infinite quality factor in finite unit cells |
| topic | Optics |
| url | https://arxiv.org/abs/2411.12374 |