Coordinate transformation based design of confined metamaterial structures

TL;DR

This paper presents a coordinate transformation approach to design non-magnetic metamaterials capable of bending and squeezing confined electromagnetic fields in waveguides and free space, with potential for reflectionless operation.

Contribution

It introduces a novel method for designing non-magnetic metamaterials for electromagnetic field manipulation using coordinate transformations, applicable to waveguides and free-space beams.

Findings

Dielectric structures can bend electromagnetic fields without reflection.

Two approaches for non-magnetic realization are demonstrated.

Arbitrary squeezing and bending of TM fields are achievable.

Abstract

The coordinate transformation method is applied to bounded domains to design metamaterial devices for steering spatially confined electromagnetic fields. Both waveguide and free-space beam applications are considered as these are analogous within the present approach. In particular, we describe devices that bend the propagation direction and squeeze confined electromagnetic fields. Two approaches in non-magnetic realization of these structures are examined. The first is based on using a reduced set of material parameters, and the second on finding non-magnetic transformation media. It is shown that transverse-magnetic fields can be bent or squeezed to an arbitrary extent and without reflection using only dielectric structures.