General Relativity in Electrical Engineering

TL;DR

This paper applies general relativity principles to electrical engineering, enabling the design of advanced metamaterials with novel electromagnetic properties for applications like invisibility and perfect lenses.

Contribution

It introduces a theoretical framework using general relativity to design metamaterials with tailored electromagnetic behaviors, unifying various phenomena and devices.

Findings

Unified design principles for metamaterials based on space-time transformations

Theoretical description of negative refraction and electromagnetic analogs of black holes

Potential for creating devices like perfect invisibility cloaks and lenses

Abstract

In electrical engineering metamaterials have been developed that offer unprecedented control over electromagnetic fields. Here we show that general relativity lends the theoretical tools for designing devices made of such versatile materials. Given a desired device function, the theory describes the electromagnetic properties that turn this function into fact. We consider media that facilitate space-time transformations and include negative refraction. Our theory unifies the concepts operating behind the scenes of perfect invisibility devices, perfect lenses, the optical Aharonov-Bohm effect and electromagnetic analogs of the event horizon, and may lead to further applications.