Bound states in the continuum in circular clusters of scatterers
In this work we study the localization of flexural waves in highly symmetric clusters of scatterers. It is shown that when the scatterers are placed regularly in the perimeter of a circumference, the quality factor of the resonances strongly increases with the number of scatterers in the cluster. It...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.013131 |
| _version_ | 1797210498630942720 |
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| author | Marc Martí-Sabaté Bahram Djafari-Rouhani Dani Torrent |
| author_facet | Marc Martí-Sabaté Bahram Djafari-Rouhani Dani Torrent |
| author_sort | Marc Martí-Sabaté |
| collection | DOAJ |
| description | In this work we study the localization of flexural waves in highly symmetric clusters of scatterers. It is shown that when the scatterers are placed regularly in the perimeter of a circumference, the quality factor of the resonances strongly increases with the number of scatterers in the cluster. It is also found that in the continuous limit, that is to say, when the number of scatterers tends to infinite, the quality factor is infinite so that the modes belong to the class of the so-called bound states in the continuum or BICs, and an analytical expression for the resonant frequency is found. These modes have different multipolar symmetries, and we show that for high multipolar orders the modes tend to localize at the border of the circumference, therefore forming a whispering gallery mode with an extraordinarily high quality factor. Numerical experiments are performed to check the robustness of these modes under different types of disorder and also to study their excitation from the far field. Although we have focused our study on flexural waves, the methodology presented in this work can be applied to other classical waves, like electromagnetic or acoustic waves, being a promising approach for the design of high-quality resonators based on finite clusters of scatterers. |
| first_indexed | 2024-04-24T10:11:33Z |
| format | Article |
| id | doaj.art-34b9fda19f9443cb8c7c0fd40c347498 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:11:33Z |
| publishDate | 2023-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-34b9fda19f9443cb8c7c0fd40c3474982024-04-12T17:28:44ZengAmerican Physical SocietyPhysical Review Research2643-15642023-02-015101313110.1103/PhysRevResearch.5.013131Bound states in the continuum in circular clusters of scatterersMarc Martí-SabatéBahram Djafari-RouhaniDani TorrentIn this work we study the localization of flexural waves in highly symmetric clusters of scatterers. It is shown that when the scatterers are placed regularly in the perimeter of a circumference, the quality factor of the resonances strongly increases with the number of scatterers in the cluster. It is also found that in the continuous limit, that is to say, when the number of scatterers tends to infinite, the quality factor is infinite so that the modes belong to the class of the so-called bound states in the continuum or BICs, and an analytical expression for the resonant frequency is found. These modes have different multipolar symmetries, and we show that for high multipolar orders the modes tend to localize at the border of the circumference, therefore forming a whispering gallery mode with an extraordinarily high quality factor. Numerical experiments are performed to check the robustness of these modes under different types of disorder and also to study their excitation from the far field. Although we have focused our study on flexural waves, the methodology presented in this work can be applied to other classical waves, like electromagnetic or acoustic waves, being a promising approach for the design of high-quality resonators based on finite clusters of scatterers.http://doi.org/10.1103/PhysRevResearch.5.013131 |
| spellingShingle | Marc Martí-Sabaté Bahram Djafari-Rouhani Dani Torrent Bound states in the continuum in circular clusters of scatterers Physical Review Research |
| title | Bound states in the continuum in circular clusters of scatterers |
| title_full | Bound states in the continuum in circular clusters of scatterers |
| title_fullStr | Bound states in the continuum in circular clusters of scatterers |
| title_full_unstemmed | Bound states in the continuum in circular clusters of scatterers |
| title_short | Bound states in the continuum in circular clusters of scatterers |
| title_sort | bound states in the continuum in circular clusters of scatterers |
| url | http://doi.org/10.1103/PhysRevResearch.5.013131 |
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