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Mathematical Physics

Title: Scattering from time-modulated subwavelength resonators

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.
Comments: 20 pages, 9 figures
Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Optics (physics.optics)
MSC classes: 35J05, 35C20, 35P20, 74J20
Cite as: arXiv:2401.01914 [math-ph]
  (or arXiv:2401.01914v1 [math-ph] for this version)

Submission history

From: Liora Rueff [view email]
[v1] Tue, 2 Jan 2024 19:45:29 GMT (256kb,D)

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