Perfect imaging with geodesic waveguides

TL;DR

This paper demonstrates that a spherical waveguide with a specific refractive index profile can achieve perfect imaging properties similar to the Maxwell Fish-Eye lens, using transformation optics principles.

Contribution

It introduces a novel waveguide design with a radial refractive index profile that enables perfect focusing, bridging theoretical optics and practical waveguide implementation.

Findings

Radial polarized modes with perfect focusing properties

Approximate device using a thin, homogeneous core

Potential for experimental realization of perfect imaging

Abstract

Transformation optics is used to prove that a spherical waveguide filled with an isotropic material with radial refractive index n=1/r has radial polarized modes (i.e. the electric field has only radial component) with the same perfect focusing properties as the Maxwell Fish-Eye lens. The approximate version of that device using a thin waveguide with a homogenous core paves the way to experimentally prove perfect imaging in the Maxwell Fish Eye lens.