标题： 时间调制亚波长谐振器阵列的能量平衡和光学定理 显示英文标题

标题： Energy Balance and Optical Theorem for Time-Modulated Subwavelength Resonator Arrays

摘要： 我们研究通过具有周期性时间调制材料参数的一维亚波长谐振器阵列的波传播。 聚焦于高对比度区域，我们使用基于傅里叶展开和散射矩阵技术的散射框架来捕捉入射波与随时间变化的系统之间的相互作用。 通过这种方式，我们推导出对应于时间依赖性谐振器系统的总能量通量的表达式。 我们表明总能量通量由透射和反射的能量通量组成，并推导出一个描述系统能量平衡的光学定理。 我们提供了一系列数值实验，以研究时间依赖性、工作频率和谐振器数量对最大可实现能量增益和能量损失的影响。 此外，我们展示了激光点的存在，在这些点上总能量会发散。 我们的结果为设计能量耗散或能量放大系统奠定了基础。 显示英文摘要

摘要： We study wave propagation through a one-dimensional array of subwavelength resonators with periodically time-modulated material parameters. Focusing on a high-contrast regime, we use a scattering framework based on Fourier expansions and scattering matrix techniques to capture the interactions between an incident wave and the temporally varying system. This way, we derive a formulation of the total energy flux corresponding to time-dependent systems of resonators. We show that the total energy flux is composed of the transmitted and reflected energy fluxes, and derive an optical theorem which characterises the energy balance of the system. We provide a number of numerical experiments to investigate the impact of the time-dependency, the operating frequency and the number of resonators on the maximal attainable energy gain and energy loss. Moreover, we show the existence of lasing points, at which the total energy diverges. Our results lay the foundation for the design of energy dissipative or energy amplifying systems.