来自时间调制亚波长谐振器的散射

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES
Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen, Liora Rueff
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引用次数: 0

摘要

我们考虑的是具有时间调制材料参数的高对比度谐振器系统的波散射问题。在这种情况下,波方程可以简化为一个耦合亥姆霍兹方程组,对散射问题进行建模。我们考虑的是一维环境。为了理解系统的能量,我们证明了亚波长谐振准频率的一种新颖的高阶离散电容矩阵近似。此外,我们还进行了数值实验来支持和说明我们的分析结果,并展示了周期性随时间变化的材料参数如何影响散射波场。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Scattering from time-modulated subwavelength resonators

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 quasi-frequencies. 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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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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