论文标题
地表 - 定位的透射局特征状态，超分辨率成像和伪表面等离子体模式
Surface-localized transmission eigenstates, super-resolution imaging and pseudo surface plasmon modes
论文作者
论文摘要
我们介绍了与Helmholtz系统相关的（内部）传播特征函数的新颖而有趣的全局几何结构。在通用方案中显示的是，始终存在一系列传输特征功能，其中相应的特征值向无穷大，因此这些特征函数位于域的边界周围。我们在径向几何形状中提供了全面而严格的理由，而对于非radial情况，我们进行了广泛的数值实验，以定量验证本地化行为。该发现提供了有关波浪本地化的新观点。作为重要的应用，我们开发了一种新型的逆散射方案，该方案可以产生超分辨率的成像效应，并提出了一种具有潜在感应应用的所谓伪表面等离子体共振（PSPR）模式。
We present the discovery of a novel and intriguing global geometric structure of the (interior) transmission eigenfunctions associated with the Helmholtz system. It is shown in generic scenarios that there always exists a sequence of transmission eigenfunctions with the corresponding eigenvalues going to infinity such that those eigenfunctions are localized around the boundary of the domain. We provide a comprehensive and rigorous justification in the case within the radial geometry, whereas for the non-radial case, we conduct extensive numerical experiments to quantitatively verify the localizing behaviours. The discovery provides a new perspective on wave localization. As significant applications, we develop a novel inverse scattering scheme that can produce super-resolution imaging effects and propose a method of generating the so-called pseudo surface plasmon resonant (PSPR) modes with a potential sensing application.
