Landscape of wave focusing and localization at low frequencies
Landscape of wave focusing and localization at low frequencies
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DOI：
10.1111/sapm.12659
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发表时间：
2023-11-28
影响因子：
2.7
通讯作者：
Lou，Yiqi
中科院分区：
文献类型：
--
作者：
Davies，Bryn;Lou，Yiqi
高对比度散射问题在经典波系统中是特殊的，因为它们允许在低频下的强波聚焦和局部化。我们使用一个渐近的框架来开发一个景观理论的高对比度系统，在亚波长范围内共振。我们的第一原理渐近分析产生了广义电容矩阵的表征，给出了三维散射问题的离散近似。我们发展了广义电容矩阵的景观理论，并用它来预测三维波聚焦和定位在随机和非周期系统的亚波长谐振器的位置。
High‐contrast scattering problems are special among classical wave systems as they allow for strong wave focusing and localization at low frequencies. We use an asymptotic framework to develop a landscape theory for high‐contrast systems that resonate in a subwavelength regime. Our from‐first‐principles asymptotic analysis yields a characterization in terms of the generalized capacitance matrix, giving a discrete approximation of the three‐dimensional scattering problem. We develop landscape theory for the generalized capacitance matrix and use it to predict the positions of three‐dimensional wave focusing and localization in random and non‐periodic systems of subwavelength resonators.