Transformation optics, isotropic chiral media, and non-Riemannian geometry

TL;DR

This paper extends the geometrical interpretation of electromagnetism in transformation optics to isotropic chiral media by incorporating non-Riemannian geometry with torsion, enabling new design approaches for optical devices.

Contribution

It introduces a novel geometrical framework using torsion in non-Riemannian geometry to describe chiral media in transformation optics, expanding the theoretical foundation.

Findings

Media with isotropic chirality can be modeled using torsion in geometry.

The approach provides a new method for designing optical devices involving chiral materials.

The geometrical interpretation links electromagnetism in complex media to advanced differential geometry.

Abstract

The geometrical interpretation of electromagnetism in transparent media (transformation optics) is extended to include media with isotropic, inhomogeneous, chirality. It is found that such media may be described through introducing the non-Riemannian geometrical property of torsion into the Maxwell equations, and shown how such an interpretation may be applied to the design of optical devices.