Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By I. V. Lindell

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In four-dimensional differential-form representation linear medium relations can be expressed in terms of a medium dyadic mapping the electromagnetic two-form involving the B and E fields to the two-form involving the D and H fields. There does not seem to exist a method to invert the medium dyadic in a coordinate-free manner for the general bi-anisotropic medium. Such an inversion is introduced here for the special class of skewon media which is a 15 parameter subclass of previously studied IB media. The resulting compact analytic expression is verified through two simple tests and an expansion in eigenvectors.

I. V. Lindell, "Inverse for the Skewon Medium Dyadic," Progress In Electromagnetics Research, Vol. 63, 21-32, 2006.

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