电磁虫孔的双质体构造
Electromagnetic wormholes via handlebody constructions
摘要：
隐形装置是静电、光学或电磁参数场（电导率$σ(x)$、折射率$n(x)$或电容率$ε(x)$和磁导率$μ(x)$）的规定，这些参数场在$\mathbb R^3$上是分段光滑的，在超曲面$Σ$上是奇异的，并且使得被$Σ$包围的区域中的物体无法通过波被外部观察到。在这里，我们给出了不可见隧道的相关构造，它允许电磁波在可能遥远的点之间通过，但只有隧道的末端对电磁成像可见。有效地，这些改变了空间的拓扑结构相对于麦克斯韦方程组的解决方案，对应于附加一个身体的$\mathbb R^3$。由此产生的装置就起到了电磁虫洞的作用。
英文摘要：
Cloaking devices are prescriptions of electrostatic, optical or electromagnetic parameter fields (conductivity $σ(x)$, index of refraction $n(x)$, or electric permittivity $ε(x)$ and magnetic permeability $μ(x)$) which are piecewise smooth on $\mathbb R^3$ and singular on a hypersurface $Σ$, and such that objects in the region enclosed by $Σ$ are not detectable to external observation by waves. Here, we give related constructions of invisible tunnels, which allow electromagnetic waves to pass between possibly distant points, but with only the ends of the tunnels visible to electromagnetic imaging. Effectively, these change the topology of space with respect to solutions of Maxwell's equations, corresponding to attaching a handlebody to $\mathbb R^3$. The resulting devices thus function as electromagnetic wormholes.
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。
