Electromagnetic wormholes via handlebody constructions

Abstract

Cloaking devices are prescriptions of electrostatic, optical or electromagnetic parameter fields (conductivity $\sigma (x)$, index of refraction $n(x)$, or electric permittivity $\epsilon (x)$ and magnetic permeability $\mu (x)$) which are piecewise smooth on ${\mathbb{R}}^3$ and singular on a hypersurface $\Sigma$, and such that objects in the region enclosed by $\Sigma$ 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.

25 pages, 6 figures (some color)

References in corpus (3)

• Calculation of material properties and ray tracing in transformation media
• Electromagnetic wormholes and virtual magnetic monopoles
• Full-wave invisibility of active devices at all frequencies

Cited by in corpus (6)

• Isotropic transformation optics: approximate acoustic and quantum cloaking
• Virtual reshaping and invisibility in obstacle scattering
• Regularized Transformation-Optics Cloaking for the Helmholtz Equation: From Partial Cloak to Full Cloak
• An efficient plate heater with uniform surface temperature engineered with effective thermal materials
• Non-singular cloaks allow mimesis
• Approximate Isotropic Cloak for the Maxwell equations