Informace o publikaci
Time-varying resonators in acoustic waveguides: a transfer matrix formalism for space-time-modulated metamaterials
| Autoři | |
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| Rok publikování | 2025 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | |
| Doi | https://doi.org/10.1098/rspa.2025.0303 |
| Klíčová slova | acoustic waveguides; transfer matrix method; space-time-modulated materials; finite element simulations |
| Popis | The transfer matrix method remains a simple yet powerful tool for modelling acoustic systems, particularly in a closed waveguide geometry. Here, we present a generalization 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 the modification of the band structure, comparing our results to finite element simulations of space-time-modulated acoustic crystals. |