Collimating lenses from non-Euclidean transformation optics

TL;DR

This paper presents a novel thin metamaterial lens designed using non-Euclidean transformation optics, capable of wide-beam radiation without extreme material parameters, confirmed by simulation results.

Contribution

It introduces a new lens design based on non-Euclidean transformation optics that simplifies fabrication and improves performance over previous designs.

Findings

The lens achieves wide-beam radiation from a simple source.

The design avoids extreme material parameters.

Simulation confirms the lens's functionality.

Abstract

Based on the non-Euclidean transformation optics, we design a thin metamaterial lens that can achieve wide-beam radiation by embedding a simple source (a point source in three-dimensional case or a line current source in two-dimensional case). The scheme is performed on a layer-by-layer geometry to convert curved surfaces in virtual space to flat sheets, which pile up and form the entire lens in physical space. Compared to previous designs, the lens has no extreme material parameters. Simulation results confirm its functionality.