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arXiv · 2003.13452

The geometry of induced electromagnetic fields in moving media

Cesar S. Lopez-Monsalvo·David Garcia-Pelaez·Alberto Rubio-Ponce·Rafael Escarela-Perez
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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

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Cesar S. Lopez-Monsalvo, David Garcia-Pelaez, Alberto Rubio-Ponce, Rafael Escarela-Perez. 2020-07-25. The geometry of induced electromagnetic fields in moving media. https://doi.org/10.1016/j.aop.2020.168270

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