Approaches to Three-Dimensional Transformation Optical Media Using Quasi-Conformal Coordinate Transformations

TL;DR

This paper presents a generalized quasi-conformal mapping method for designing three-dimensional transformation optical media, enabling broadband, low-loss wave control with arbitrary incidence angles and polarization, demonstrated through cloaks and lenses.

Contribution

It introduces a novel generalized quasi-conformal approach for 3D transformation optics, expanding design capabilities for broadband, low-loss optical devices.

Findings

Ray-trace studies confirm the effectiveness of the QCTO media.

Index-only devices show limited performance.

The method allows control of waves at arbitrary angles and polarization.

Abstract

We introduce an approach to the design of three-dimensional transformation optical (TO) media based on a generalized quasi-conformal mapping approach. The generalized quasi-conformal TO (QCTO) approach enables the design of media that can, in principle, be broadband and low-loss, while controlling the propagation of waves with arbitrary angles of incidence and polarization. We illustrate the method in the design of a three-dimensional "carpet" ground plane cloak and of a flattened Luneburg lens. Ray-trace studies provide a confirmation of the performance of the QCTO media, while also revealing the limited performance of index-only versions of these devices.