Sculpturing sound fields with the real-space structural topology of acoustic cavities
Artificial structures have been widely employed to manipulate sound fields to realize intriguing acoustic phenomena and functionalities. The development of this field requires a thorough understanding of how sound fields depend on the various properties of artificial structures. Although the effects...
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| Language: | English |
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/adac04 |
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| author | Qing Tong Shubo Wang |
| author_facet | Qing Tong Shubo Wang |
| author_sort | Qing Tong |
| collection | DOAJ |
| description | Artificial structures have been widely employed to manipulate sound fields to realize intriguing acoustic phenomena and functionalities. The development of this field requires a thorough understanding of how sound fields depend on the various properties of artificial structures. Although the effects of the material and geometry of artificial structures are known well, the effects of the real-space structural topology on sound field properties remain unclear. To tackle this problem, we present a detailed study of the sound fields inside acoustic cavities with different Euler characteristics and demonstrate that the real-space topology can give rise to topological configurations of the velocity and pressure fields. Specifically, we find that the acoustic cavities can induce topological singularities in the velocity polarization and isopressure line fields. The total topological index of the surface singularities is always equal to the cavities’ Euler characteristic. The mechanism is rooted in the Poincaré–Hopf theorem and is irrelevant to the specific material, geometric details, or excitations. The isopressure line singularities lead to acoustic hotspots and quiet zones. The velocity polarization singularities give rise to nontrivial polarization Möbius strips and skyrmion textures. These topological configurations can be directly manipulated by controlling the cavities’ Euler characteristics. Our work uncovers the fundamental relationship between the topological properties of sound fields and the topological properties of structures. The results enable sound sculpturing with structural topology, and the acoustic cavities can serve as a platform for characterizing the topological properties of sound fields in three-dimensional space. |
| format | Article |
| id | doaj-art-eb56726ede1849d7a47ddcdfbbda5976 |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-eb56726ede1849d7a47ddcdfbbda59762025-01-29T09:26:46ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127101302010.1088/1367-2630/adac04Sculpturing sound fields with the real-space structural topology of acoustic cavitiesQing Tong0https://orcid.org/0000-0002-2251-0736Shubo Wang1https://orcid.org/0000-0002-3026-6972Department of Physics, City University of Hong Kong , Tat Chee Avenue, Kowloon, Hong Kong Special Administrative Region of China, People’s Republic of ChinaDepartment of Physics, City University of Hong Kong , Tat Chee Avenue, Kowloon, Hong Kong Special Administrative Region of China, People’s Republic of ChinaArtificial structures have been widely employed to manipulate sound fields to realize intriguing acoustic phenomena and functionalities. The development of this field requires a thorough understanding of how sound fields depend on the various properties of artificial structures. Although the effects of the material and geometry of artificial structures are known well, the effects of the real-space structural topology on sound field properties remain unclear. To tackle this problem, we present a detailed study of the sound fields inside acoustic cavities with different Euler characteristics and demonstrate that the real-space topology can give rise to topological configurations of the velocity and pressure fields. Specifically, we find that the acoustic cavities can induce topological singularities in the velocity polarization and isopressure line fields. The total topological index of the surface singularities is always equal to the cavities’ Euler characteristic. The mechanism is rooted in the Poincaré–Hopf theorem and is irrelevant to the specific material, geometric details, or excitations. The isopressure line singularities lead to acoustic hotspots and quiet zones. The velocity polarization singularities give rise to nontrivial polarization Möbius strips and skyrmion textures. These topological configurations can be directly manipulated by controlling the cavities’ Euler characteristics. Our work uncovers the fundamental relationship between the topological properties of sound fields and the topological properties of structures. The results enable sound sculpturing with structural topology, and the acoustic cavities can serve as a platform for characterizing the topological properties of sound fields in three-dimensional space.https://doi.org/10.1088/1367-2630/adac04topologypolarization singularityskyrmionMöbius stripchiral sound-matter interaction |
| spellingShingle | Qing Tong Shubo Wang Sculpturing sound fields with the real-space structural topology of acoustic cavities New Journal of Physics topology polarization singularity skyrmion Möbius strip chiral sound-matter interaction |
| title | Sculpturing sound fields with the real-space structural topology of acoustic cavities |
| title_full | Sculpturing sound fields with the real-space structural topology of acoustic cavities |
| title_fullStr | Sculpturing sound fields with the real-space structural topology of acoustic cavities |
| title_full_unstemmed | Sculpturing sound fields with the real-space structural topology of acoustic cavities |
| title_short | Sculpturing sound fields with the real-space structural topology of acoustic cavities |
| title_sort | sculpturing sound fields with the real space structural topology of acoustic cavities |
| topic | topology polarization singularity skyrmion Möbius strip chiral sound-matter interaction |
| url | https://doi.org/10.1088/1367-2630/adac04 |
| work_keys_str_mv | AT qingtong sculpturingsoundfieldswiththerealspacestructuraltopologyofacousticcavities AT shubowang sculpturingsoundfieldswiththerealspacestructuraltopologyofacousticcavities |