Nonreciprocal scattering of elastic waves at time interfaces induced by spatiotemporal modulation

Fuente: arXiv
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Autori principali: Ye, Yingrui, Liu, Chunxia, Marzani, Alessandro, Riva, Emanuele, Palermo, Antonio, Wang, Xiaopeng
Natura: Preprint
Pubblicazione: 2025
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author Ye, Yingrui
Liu, Chunxia
Marzani, Alessandro
Riva, Emanuele
Palermo, Antonio
Wang, Xiaopeng
author_facet Ye, Yingrui
Liu, Chunxia
Marzani, Alessandro
Riva, Emanuele
Palermo, Antonio
Wang, Xiaopeng
contents Spatiotemporally modulated elastic metamaterials have garnered increasing interest for their potential applications in nonreciprocal wave devices. Most existing studies, however, focus on systems where spatiotemporal modulation is continuous and infinite in time. Here, we investigate the temporal dynamics of elastic waves at time interfaces created by the sudden activation or deactivation of spatiotemporal modulation in a medium's elastic properties. By developing an ad hoc mode-coupling theory, we reveal that such time interfaces enable controlled frequency and wavenumber conversion through mode redistribution and energy pumping. Specifically, we quantitatively evaluate the temporal scattering behavior of elastic longitudinal waves under two representative spatiotemporal modulations: subsonic and supersonic. These modulations give rise to frequency and wavenumber bandgaps, respectively. We demonstrate that subsonic modulation induces nonreciprocal energy reversal, while supersonic modulation leads to nonreciprocal energy amplification. Our findings pave the way for the development of temporal elastic metamaterials with practical applications in designing one-way elastic filters, amplifiers, and frequency converters.
format Preprint
id arxiv_https___arxiv_org_abs_2504_19385
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonreciprocal scattering of elastic waves at time interfaces induced by spatiotemporal modulation
Ye, Yingrui
Liu, Chunxia
Marzani, Alessandro
Riva, Emanuele
Palermo, Antonio
Wang, Xiaopeng
Applied Physics
Spatiotemporally modulated elastic metamaterials have garnered increasing interest for their potential applications in nonreciprocal wave devices. Most existing studies, however, focus on systems where spatiotemporal modulation is continuous and infinite in time. Here, we investigate the temporal dynamics of elastic waves at time interfaces created by the sudden activation or deactivation of spatiotemporal modulation in a medium's elastic properties. By developing an ad hoc mode-coupling theory, we reveal that such time interfaces enable controlled frequency and wavenumber conversion through mode redistribution and energy pumping. Specifically, we quantitatively evaluate the temporal scattering behavior of elastic longitudinal waves under two representative spatiotemporal modulations: subsonic and supersonic. These modulations give rise to frequency and wavenumber bandgaps, respectively. We demonstrate that subsonic modulation induces nonreciprocal energy reversal, while supersonic modulation leads to nonreciprocal energy amplification. Our findings pave the way for the development of temporal elastic metamaterials with practical applications in designing one-way elastic filters, amplifiers, and frequency converters.
title Nonreciprocal scattering of elastic waves at time interfaces induced by spatiotemporal modulation
topic Applied Physics
url https://arxiv.org/abs/2504.19385