Experimental study of Su-Schrieffer-Heeger edge modes for water waves in linear and nonlinear regime
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908420571922432 |
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| author | Anglart, Adam Obrępalski, Paweł Maurel, Agnès Petitjeans, Philippe Pagneux, Vincent |
| author_facet | Anglart, Adam Obrępalski, Paweł Maurel, Agnès Petitjeans, Philippe Pagneux, Vincent |
| contents | This paper experimentally investigates topologically protected edge modes in a water wave channel through a direct geometric mapping to the one-dimensional Su-Schrieffer-Heeger (SSH) model. By designing a periodic channel with alternating widths, we replicate the key features of the SSH model, leading to the emergence of robust zero-energy sloshing edge modes localized at the boundaries. Experimental data show excellent agreement with theoretical predictions, supported by two-dimensional numerical simulations. In the nonlinear regime, two distinct bifurcations are observed, indicating the appearance of secondary resonances. This study highlights the relevance of the SSH model for water wave systems and provides an accessible method to explore topological edge states in classical wave systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_05140 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Experimental study of Su-Schrieffer-Heeger edge modes for water waves in linear and nonlinear regime Anglart, Adam Obrępalski, Paweł Maurel, Agnès Petitjeans, Philippe Pagneux, Vincent Fluid Dynamics Applied Physics This paper experimentally investigates topologically protected edge modes in a water wave channel through a direct geometric mapping to the one-dimensional Su-Schrieffer-Heeger (SSH) model. By designing a periodic channel with alternating widths, we replicate the key features of the SSH model, leading to the emergence of robust zero-energy sloshing edge modes localized at the boundaries. Experimental data show excellent agreement with theoretical predictions, supported by two-dimensional numerical simulations. In the nonlinear regime, two distinct bifurcations are observed, indicating the appearance of secondary resonances. This study highlights the relevance of the SSH model for water wave systems and provides an accessible method to explore topological edge states in classical wave systems. |
| title | Experimental study of Su-Schrieffer-Heeger edge modes for water waves in linear and nonlinear regime |
| topic | Fluid Dynamics Applied Physics |
| url | https://arxiv.org/abs/2501.05140 |