Luneburg lens waveguide networks

TL;DR

This paper explores the use of Luneburg lens configurations to create efficient light waveguides, demonstrating their effectiveness through ray tracing and Maxwell's equations, with nonlinear effects enhancing focusing.

Contribution

It introduces novel arrangements of Luneburg lenses as waveguides and analyzes their wave propagation properties using both ray tracing and numerical solutions.

Findings

Luneburg lens networks can effectively guide light.

Nonlinearity enhances focusing in the lens networks.

Wave propagation verified through Maxwell's equations.

Abstract

We investigate certain configurations of Luneburg lenses that form light propagating and guiding networks. We study single Luneburg lens dynamics and apply the single lens ray tracing solution to various arrangements of multiple lenses. The wave propagating features of the Luneburg lens networks are also verified through direct numerical solutions of Maxwell's equations. We find that Luneburg lenses may form efficient waveguides for light propagation and guiding. The additional presence of nonlinearity improves the focusing characteristics of the networks.