Direct experimental observation of total absorption and loss compensation using sound waves with complex frequencies
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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_ | 1866913740162596864 |
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| author | Maddi, Anis Poignand, Gaelle Achilleos, Vassos Pagneux, Vincent Penelet, Guillaume |
| author_facet | Maddi, Anis Poignand, Gaelle Achilleos, Vassos Pagneux, Vincent Penelet, Guillaume |
| contents | In this study, we experimentally investigate the application of a transient signal with complex frequencies to the absorption and transmission of sound waves. Indeed, the emission of a wave with an exponentially varying amplitude in time is analogous, in the frequency domain, to a monochromatic wave with spatial gain or loss. Our results show that by exciting a non-critically coupled Helmholtz resonator with a wave having a growing amplitude, total absorption can still be achieved. Furthermore, the lossy propagation of a traveling wave in a duct is also studied, and it is shown that the losses embedded in the complex wavenumber can be compensated by using a transient signal with decreasing amplitude. These results confirm the potential of complex frequency excitation for exploring new means of manipulating sound waves to mimic gain and loss. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11748 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Direct experimental observation of total absorption and loss compensation using sound waves with complex frequencies Maddi, Anis Poignand, Gaelle Achilleos, Vassos Pagneux, Vincent Penelet, Guillaume Applied Physics Optics In this study, we experimentally investigate the application of a transient signal with complex frequencies to the absorption and transmission of sound waves. Indeed, the emission of a wave with an exponentially varying amplitude in time is analogous, in the frequency domain, to a monochromatic wave with spatial gain or loss. Our results show that by exciting a non-critically coupled Helmholtz resonator with a wave having a growing amplitude, total absorption can still be achieved. Furthermore, the lossy propagation of a traveling wave in a duct is also studied, and it is shown that the losses embedded in the complex wavenumber can be compensated by using a transient signal with decreasing amplitude. These results confirm the potential of complex frequency excitation for exploring new means of manipulating sound waves to mimic gain and loss. |
| title | Direct experimental observation of total absorption and loss compensation using sound waves with complex frequencies |
| topic | Applied Physics Optics |
| url | https://arxiv.org/abs/2503.11748 |