A Completely Covariant Approach to Transformation Optics
Optics
2011-02-22 v2
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.
Cite
@article{arxiv.1006.3118,
title = {A Completely Covariant Approach to Transformation Optics},
author = {Robert T. Thompson and Steven A. Cummer and Jörg Frauendiener},
journal= {arXiv preprint arXiv:1006.3118},
year = {2011}
}
Comments
10 pages. This version: Additional references added, corrected a small error in Eq. (28) (Eq. (29) in present version), some revision of the text, appendix content moved to the main body of the text, figure removed. Corresponds more closely to published version. Prepared for a special issue on transformation optics published by Journal of Optics