Design of Electromagnetic Cloaks and Concentrators Using Form-Invariant Coordinate Transformations of Maxwell's Equations

TL;DR

This paper demonstrates how form-invariant coordinate transformations of Maxwell's equations can be used to design electromagnetic cloaks and concentrators, confirmed through numerical simulations of their unique functionalities.

Contribution

It introduces a transformation-optical method for designing complex electromagnetic devices like cloaks and concentrators with specified behaviors.

Findings

Successful design of a square electromagnetic cloak.

Effective concentration of electromagnetic fields demonstrated.

Numerical simulations confirm the functionality of the devices.

Abstract

The technique of applying form-invariant, spatial coordinate transformations of Maxwell's equations can facilitate the design of structures with unique electromagnetic or optical functionality. Here, we illustrate the transformation-optical approach in the designs of a square electromagnetic cloak and an omni-directional electromagnetic field concentrator. The transformation equations are described and the functionality of the devices is numerically confirmed by two-dimensional finite element simulations. The two devices presented demonstrate that the transformation optic approach leads to the specification of complex, anisotropic and inhomogeneous materials with well directed and distinct electromagnetic behavior.