The geometry of induced electromagnetic fields in moving media
Abstract
In this manuscript we provide a fully geometric formulation for the induced electromagnetic fields and their corresponding constitutive relations in moving media. To this end, we present the reader with a brief geometric summary to show how vector calculus electromagnetic theory is embedded in the more general language of differential forms. Then, we consider the class of \emph{metric} constitutive relations describing the medium in which electromagnetic fields propagate. We explicitly obtain the components of the induced fields in a moving medium, as seen in the the lab \emph{rest} frame. This allows us to read the expressions for the permitivity, permeability and magnetoelectric matrices for the moving medium which, in turn, can be interpreted as a different physical material from the lab point of view
Keywords
Cite
@article{arxiv.2003.13452,
title = {The geometry of induced electromagnetic fields in moving media},
author = {Cesar S. Lopez-Monsalvo and David Garcia-Pelaez and Alberto Rubio-Ponce and Rafael Escarela-Perez},
journal= {arXiv preprint arXiv:2003.13452},
year = {2020}
}