Retroreflector Approximation of a Generalized Eaton Lens

TL;DR

This paper introduces a retroreflector approximation method to estimate the refractive index of a generalized Eaton lens at any refraction angle, simplifying design and analysis.

Contribution

It extends previous work by deriving an accessible approximation for the Eaton lens's refractive index at arbitrary angles using retroreflector techniques.

Findings

Provides a practical approximation method for the refractive index.

Enables rapid estimation and design of Eaton lenses.

Improves understanding of Eaton lens behavior at various angles.

Abstract

We extended a previous study of the Eaton lens at specific refraction angles to the Eaton lens at any refraction angle. The refractive index of the Eaton lens is complicated and has not analytical form except at a few specific angles. We derived a more accessible form of the refractive index for any refraction angle with some accuracy by retroreflector approximation. The finding of this study will be useful for a rapid estimation of the refractive index, and the the design of various Eaton lenses.