Time Varying Resonators in Acoustic Waveguides: A Transfer Matrix Formalism for Space-time Modulated Metamaterials
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913776363634688 |
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| author | Cidlinsky, D. Chaplain, G. J. Horsley, S. A. R. |
| author_facet | Cidlinsky, D. Chaplain, G. J. Horsley, S. A. R. |
| contents | The transfer matrix method remains a simple yet powerful tool for modeling acoustic systems, particularly in a closed waveguide geometry. Here we present a generalisation of this method based on the theory of mode matching, that incorporates the effect of ultra--fast temporal variations in the geometry, applying it to a system of side-branching resonant cavities (quarter wavelength resonators) fixed to an acoustic waveguide, modulated through alteration of the cavity length. We calculate propagation in a waveguide containing both a single resonator and a periodic array. In particular we predict the generation of additional Doppler-like terms in the reflected and transmitted fields that leads to modification of the band structure, comparing our results to finite element simulations of space-time modulated acoustic crystals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03345 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Time Varying Resonators in Acoustic Waveguides: A Transfer Matrix Formalism for Space-time Modulated Metamaterials Cidlinsky, D. Chaplain, G. J. Horsley, S. A. R. Applied Physics The transfer matrix method remains a simple yet powerful tool for modeling acoustic systems, particularly in a closed waveguide geometry. Here we present a generalisation of this method based on the theory of mode matching, that incorporates the effect of ultra--fast temporal variations in the geometry, applying it to a system of side-branching resonant cavities (quarter wavelength resonators) fixed to an acoustic waveguide, modulated through alteration of the cavity length. We calculate propagation in a waveguide containing both a single resonator and a periodic array. In particular we predict the generation of additional Doppler-like terms in the reflected and transmitted fields that leads to modification of the band structure, comparing our results to finite element simulations of space-time modulated acoustic crystals. |
| title | Time Varying Resonators in Acoustic Waveguides: A Transfer Matrix Formalism for Space-time Modulated Metamaterials |
| topic | Applied Physics |
| url | https://arxiv.org/abs/2504.03345 |