Decomposable medium conditions in four-dimensional representation
Abstract
The well-known TE/TM decomposition of time-harmonic electromagnetic fields in uniaxial anisotropic media is generalized in terms of four-dimensional differential-form formalism by requiring that the field two-form satisfies an orthogonality condition with respect to two given bivectors. Conditions for the electromagnetic medium in which such a decomposition is possible are derived and found to define three subclasses of media. It is shown that the previously known classes of generalized Q-media and generalized P-media are particular cases of the proposed decomposable media (DCM) associated to a quadratic equation for the medium dyadic. As a novel solution, another class of special decomposable media (SDCM) is defined by a linear dyadic equation. The paper further discusses the properties of medium dyadics and plane-wave propagation in all the identified cases of DCM and SDCM.
Cite
@article{arxiv.1101.5247,
title = {Decomposable medium conditions in four-dimensional representation},
author = {Ismo V. Lindell and Luzi Bergamin and Alberto Favaro},
journal= {arXiv preprint arXiv:1101.5247},
year = {2015}
}