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Scattering from time-modulated subwavelength resonators
Published 2 Jan 2024 in math-ph, cs.NA, math.AP, math.MP, math.NA, and physics.optics | (2401.01914v1)
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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