FSH衬里增强型近斗篷

摘要：

我们考虑了亥姆霍兹方程的正则化近似隐身。最近提出了各种隐身方案，并进行了广泛的研究。文献中现有的隐身方案（最佳）在理想隐身的2D中在$|\lnρ|^{-1}$内，3D中在$ρ$内，其中$ρ$表示正则化参数。在这项工作中，我们开发了一个精心设计的有损层的隐形方案，可以产生显着增强的近隐形性能的隐形区域外。事实上，它被证明，建议的隐身方案可以（最佳）实现$ρ^N$在$\mathbb{R}^N$，$N\geq 2$，在完美的隐身。它还表明，所提出的有损层的限制对应于一个声音硬层。我们的工作与一般的几何形状和任意隐藏的建议的隐形设备的内容。

英文摘要：

We consider regularized approximate cloaking for the Helmholtz equation. Various cloaking schemes have been recently proposed and extensively investigated. The existing cloaking schemes in literature are (optimally) within $|\lnρ|^{-1}$ in 2D and $ρ$ in 3D of the perfect cloaking, where $ρ$ denotes the regularization parameter. In this work, we develop a cloaking scheme with a well-designed lossy layer right outside the cloaked region that can produce significantly enhanced near-cloaking performance. In fact, it is proved that the proposed cloaking scheme could (optimally) achieve $ρ^N$ in $\mathbb{R}^N$, $N\geq 2$, within the perfect cloaking. It is also shown that the limit of the proposed lossy layer corresponds to a sound-hard layer. We work with general geometry and arbitrary cloaked contents of the proposed cloaking device.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。