Transformation Optics in Nonvacuum Initial Dielectric Media

TL;DR

This paper introduces a fully covariant transformation optics framework that allows for arbitrary electromagnetic transformations starting from complex initial dielectric media, overcoming previous limitations to simple media like vacuum.

Contribution

It presents a covariant formulation of transformation optics that extends applicability to complex initial dielectric materials, enabling more versatile optical device design.

Findings

Enables arbitrary transformations from complex dielectrics

Overcomes non-covariance limitations of previous methods

Broadens the scope of transformation optics applications

Abstract

Previous formulations of transformation optics have generally been restricted to transformations from relatively simple initial media, such as the vacuum, because of limitations due to their non-covariance. I show that a completely covariant approach enables arbitrary transformations from arbitrarily complex initial linear dielectrics.