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arXiv · 2401.01914

Scattering from time-modulated subwavelength resonators

Habib Ammari·Jinghao Cao·Erik Orvehed Hiltunen·Liora Rueff
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Abstract

We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz equations that models the scattering problem. We consider the one-dimensional setting. In order to understand the energy of the system, we prove a novel higher-order discrete, capacitance matrix approximation of the subwavelength resonant quasifrequencies. Further, we perform numerical experiments to support and illustrate our analytical results and show how periodically time-dependent material parameters affect the scattered wave field.

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Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen, Liora Rueff. 2024-01-02. Scattering from time-modulated subwavelength resonators. https://arxiv.org/abs/2401.01914

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