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.

翻译：我们考虑具有时间调制材料参数的高对比度谐振器系统中的波散射问题。在此设定下，波动方程简化为耦合的亥姆霍兹方程组，用于建模散射问题。我们研究一维情形。为理解系统的能量特性，我们证明了一种新颖的高阶离散电容矩阵近似方法，用于表征亚波长共振准频率。此外，我们进行数值实验以支持和说明我们的分析结果，并展示周期性时间依赖的材料参数如何影响散射波场。