Space-time wave localization in systems of subwavelength resonators
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2025-02
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Journal Article
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yes
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Abstract
In this article, we study the dynamics of metamaterials composed of high-contrast subwavelength resonators and show the existence of localized modes in such a setting. A crucial assumption in this article is time-modulated material parameters. We prove a so-called capacitance matrix approximation of the wave equation in the form of an ordinary differential equation. These formulas set the ground for the derivation of a first-principle characterization of localized modes in terms of the generalized capacitance matrix. Furthermore, we provide numerical results supporting our analytical results showing for the first time the phenomenon of space-time localized waves in a perturbed time-modulated metamaterial. Such spatio-temporal localization is only possible in the presence of subwavelength resonances in the unperturbed structure. We introduce the time-dependent degree of localization to quantitatively determine the localized modes and provide a variety of numerical experiments to illustrate our formulations and results.
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published
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481 (2307)
Pages / Article No.
20240698
Publisher
Royal Society
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Subject
space-time localization; time-dependent degree of localization; metamaterial; subwavelength resonance; time-modulation; band function
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09504 - Ammari, Habib / Ammari, Habib
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