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arXiv · 1101.5247

Decomposable medium conditions in four-dimensional representation

Ismo V. Lindell·Luzi Bergamin·Alberto Favaro
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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.

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Ismo V. Lindell, Luzi Bergamin, Alberto Favaro. 2011-01-27. Decomposable medium conditions in four-dimensional representation. https://doi.org/10.1109/tap.2011.2167937

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