1. Decomposable Medium Conditions in Four-Dimensional Representation.
- Author
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Lindell, Ismo V., Bergamin, Luzi, and Favaro, Alberto
- Subjects
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ELECTROMAGNETIC fields , *MATHEMATICAL models , *DIFFERENTIAL forms , *ORTHOGONAL decompositions , *BIVECTORS , *ELECTROMAGNETIC theory , *ELECTRICAL harmonics , *QUADRATIC equations - 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. [ABSTRACT FROM PUBLISHER]
- Published
- 2012
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