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Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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INVERSE FOR THE SKEWON MEDIUM DYADIC

By I. V. Lindell

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Abstract:
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.

Citation:
I. V. Lindell, "Inverse for the Skewon Medium Dyadic," Progress In Electromagnetics Research, Vol. 63, 21-32, 2006.
doi:10.2528/PIER06062201
http://www.jpier.org/PIER/pier.php?paper=06062201

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15. Lindell, I. V., "The class of bi-anisotropic IB-media," Prog. Electromag. Res., Vol. 57, 1-18, 2006.
doi:10.2528/PIER05061302

16. Lindell, I. V., "Electromagnetic fields and self-dual media in differential-form representation," Prog. Electromag. Res., Vol. Vol. 58, 319-333, 2006.
doi:10.2528/PIER05072201


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