地毯隐身与拉普拉斯变换
Carpet cloaking and Laplace transformation
摘要:
最近,研究人员提出了几种地毯隐身设计,这些设计能够将真实物体隐藏在凸起下,使其被视为平坦的地平面。在这里,我们提出了一种方法来设计二维各向同性地毯隐身设备使用拉普拉斯变换。我们表明,每一个功能形式的拉普拉斯变换对应于一个不同的地毯隐身设计。因此,我们的方法使我们能够系统地设计多种隐身设备。我们的分析包括几个例子,包含不同的凸点几何形状,说明所提出的方法。
英文摘要:
Recently, researchers have proposed several carpet cloaking designs that are able to hide a real object under a bump in a way that it is perceived as a flat ground plane. Here, we present a method to design two-dimensional isotropic carpet cloaking devices using Laplace transformation. We show that each functional form of a Laplace transformation corresponds to a different carpet cloaking design. Therefore, our approach allows us to systematically design a rich variety of cloaking devices. Our analysis includes several examples containing different bump geometries that illustrate the proposed methodology.
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