Generalized Eaton Lens at Arbitrary Refraction Angles

TL;DR

This paper extends the Eaton lens concept to arbitrary refraction angles by introducing a simple approximation for its refractive index, which closely matches numerical calculations, broadening its practical applications.

Contribution

The authors developed a simple approximation for the refractive index of the generalized Eaton lens at arbitrary angles, enabling easier design and analysis.

Findings

The approximation closely matches numerical calculations.

The generalized Eaton lens can now be designed for arbitrary refraction angles.

The method simplifies the analysis of Eaton lenses beyond retroreflectors.

Abstract

We extended the refraction angle of the Eaton lens into arbitrary angles. The refractive index of the Eaton lens is not analytical and can be obtained by numerical calculations only except in the case of the retroreflector. We introduced an approximation for the refractive index of the generalized Eaton lens. It is simple but very close to the exact values obtained from numerical calculations.