Topological water wave states in a one-dimensional structure
Topological concepts have been introduced into electronic, photonic, and phononic systems, but have not been studied in surface-water-wave systems. Here we study a one-dimensional periodic resonant surface-water-wave system and demonstrate its topological transition. By selecting three different wat...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2017
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| Online Access: | https://hdl.handle.net/10356/84058 http://hdl.handle.net/10220/42928 |
| _version_ | 1811680430770880512 |
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| author | Yang, Zhaoju Gao, Fei Zhang, Baile |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Yang, Zhaoju Gao, Fei Zhang, Baile |
| author_sort | Yang, Zhaoju |
| collection | NTU |
| description | Topological concepts have been introduced into electronic, photonic, and phononic systems, but have not been studied in surface-water-wave systems. Here we study a one-dimensional periodic resonant surface-water-wave system and demonstrate its topological transition. By selecting three different water depths, we can construct different types of water waves - shallow, intermediate and deep water waves. The periodic surface-water-wave system consists of an array of cylindrical water tanks connected with narrow water channels. As the width of connecting channel varies, the band diagram undergoes a topological transition which can be further characterized by Zak phase. This topological transition holds true for shallow, intermediate and deep water waves. However, the interface state at the boundary separating two topologically distinct arrays of water tanks can exhibit different bands for shallow, intermediate and deep water waves. Our work studies for the first time topological properties of water wave systems, and paves the way to potential management of water waves. |
| first_indexed | 2024-10-01T03:24:56Z |
| format | Journal Article |
| id | ntu-10356/84058 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:24:56Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | ntu-10356/840582023-02-28T19:41:06Z Topological water wave states in a one-dimensional structure Yang, Zhaoju Gao, Fei Zhang, Baile School of Physical and Mathematical Sciences Fluid Dynamics Other photonics Topological concepts have been introduced into electronic, photonic, and phononic systems, but have not been studied in surface-water-wave systems. Here we study a one-dimensional periodic resonant surface-water-wave system and demonstrate its topological transition. By selecting three different water depths, we can construct different types of water waves - shallow, intermediate and deep water waves. The periodic surface-water-wave system consists of an array of cylindrical water tanks connected with narrow water channels. As the width of connecting channel varies, the band diagram undergoes a topological transition which can be further characterized by Zak phase. This topological transition holds true for shallow, intermediate and deep water waves. However, the interface state at the boundary separating two topologically distinct arrays of water tanks can exhibit different bands for shallow, intermediate and deep water waves. Our work studies for the first time topological properties of water wave systems, and paves the way to potential management of water waves. MOE (Min. of Education, S’pore) Published version 2017-07-19T04:19:14Z 2019-12-06T15:37:27Z 2017-07-19T04:19:14Z 2019-12-06T15:37:27Z 2016 Journal Article Yang, Z., Gao, F., & Zhang, B. (2016). Topological water wave states in a one-dimensional structure. Scientific Reports, 6, 29202-. 2045-2322 https://hdl.handle.net/10356/84058 http://hdl.handle.net/10220/42928 10.1038/srep29202 27373982 en Scientific Reports © 2016 The Author(s). This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ 6 p. application/pdf |
| spellingShingle | Fluid Dynamics Other photonics Yang, Zhaoju Gao, Fei Zhang, Baile Topological water wave states in a one-dimensional structure |
| title | Topological water wave states in a one-dimensional structure |
| title_full | Topological water wave states in a one-dimensional structure |
| title_fullStr | Topological water wave states in a one-dimensional structure |
| title_full_unstemmed | Topological water wave states in a one-dimensional structure |
| title_short | Topological water wave states in a one-dimensional structure |
| title_sort | topological water wave states in a one dimensional structure |
| topic | Fluid Dynamics Other photonics |
| url | https://hdl.handle.net/10356/84058 http://hdl.handle.net/10220/42928 |
| work_keys_str_mv | AT yangzhaoju topologicalwaterwavestatesinaonedimensionalstructure AT gaofei topologicalwaterwavestatesinaonedimensionalstructure AT zhangbaile topologicalwaterwavestatesinaonedimensionalstructure |