A Completely Covariant Approach to Transformation Optics
Robert T. Thompson, Steven A. Cummer, J\"org Frauendiener
TL;DR
This paper introduces a fully covariant framework for transformation optics that overcomes limitations of previous methods, offering a more general and clearer understanding of electromagnetic transformations in moving dielectrics.
Contribution
A new covariant approach to transformation optics that addresses the limitations of the Plebanski-based method and broadens its applicability.
Findings
The covariant approach clarifies the electrodynamics of moving dielectrics.
It extends the range of transformations possible in transformation optics.
Provides a more unified theoretical framework for transformation optics.
Abstract
We show that the Plebanski based approach to transformation optics overlooks some subtleties in the electrodynamics of moving dielectrics that restricts its applicability to a certain class of transformations. An alternative, completely covariant, approach is developed that is more generally applicable and provides a clearer picture of transformation optics.
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