Partial Transmutation of Singularities in Optical Instruments

TL;DR

This paper demonstrates a method to transform singularities in optical instruments into benign topological defects using anisotropic media, avoiding the need for exotic materials.

Contribution

It introduces a novel approach to transmute optical singularities into topological defects, eliminating the requirement for anomalous material properties.

Findings

Singularities can be replaced with topological defects in anisotropic media.

The method avoids the use of materials with anomalous refractive indices.

Potential applications in designing advanced optical devices.

Abstract

Some interesting optical instruments such as the Eaton lens and the Invisible Sphere require singularities of the refractive index for their implementation. We show how to transmute those singularities into harmless topological defects in anisotropic media without the need for anomalous material properties.