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Scattering from time-modulated subwavelength resonators

by H. Ammari and J. Cao and E.O. Hiltunen and L. Rueff

(Report number 2024-02)

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.

Keywords: time-modulated metamaterial, subwavelength resonator, scattering problem, scattering coefficient, energy conservation

@Techreport{ACHR24_1084,
  author = {H. Ammari and J. Cao and E.O. Hiltunen and L. Rueff},
  title = {Scattering from time-modulated subwavelength resonators},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2024-02},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2024/2024-02.pdf },
  year = {2024}
}

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