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2008-04-29
Class of Electromagnetic BI-Quadratic (Bq) Media
By
Progress In Electromagnetics Research B, Vol. 7, 281-297, 2008
Abstract
Electromagnetic fields and media can be compactly represented by applying the four-dimensional differential-form formalism. In particular, classes of linear (bi-anisotropic) media can be defined in terms of the medium dyadic mapping between the electromagnetic two-forms. As a continuation to the process started by medium dyadics satisfying linear and quadratic algebraic equations, the class of biquadratic (BQ) media is defined by requiring that the medium dyadics satisfy the bi-quadratic algebraic equation. It is shown that the corresponding four three-dimensional medium dyadics are required to satisfy only two dyadic conditions. After studying general properties of BQ media, a special case is analyzed in detail as an example.
Citation
Ismo Veikko Lindell, "Class of Electromagnetic BI-Quadratic (Bq) Media," Progress In Electromagnetics Research B, Vol. 7, 281-297, 2008.
doi:10.2528/PIERB08041602
References

1. Flanders, H., Differential Forms, Academic Press, New York, 1963.

2. Deschamps, G. A., "Electromagnetics and differential forms," Proc. IEEE, Vol. 69, 676-696, 1981.
doi:10.1109/PROC.1981.12048

3. Hehl, F. W. and N. Yu. Obukhov, Foundations of Classical Electrodynamics, Boston, Birkhauser, 2003.

4. Lindell, I. V., Differential Forms in Electromagnetics, Wiley and IEEE Press, New York, 2004.

5. Lindell, I. V. and K. H.Wallen, "Wave equations for bi-anisotropic media in differential forms," Journal of Electromagnetic Waves and Applications, Vol. 16, 1615-1635, 2002.
doi:10.1163/156939302X01038

6. Lindell, I. V., "Differential forms and bi-anisotropic media," Electromagnetics, Vol. 26, 191-201, 2006.
doi:10.1080/02726340600570278

7. Lindell, I. V. and A. H. Sihvola, "Perfect electromagnetic conductor," Journal of Electromagnetic Waves and Applications, Vol. 19, 861-869, 2005.
doi:10.1163/156939305775468741

8. Lindell, I. V., "Class of electromagnetic SD media," Metamaterials, 2008.

9. Lindell, I. V., "Electromagnetic fields in self-dual media in differential-form representation," Progress In Electromagnetics Research, Vol. 58, 319-333, 2006.
doi:10.2528/PIER05072201

10. Olyslager, F. and I. V. Lindell, "Electromagnetics and exotic media: A quest for the Holy Grail," IEEE Ant. Propag. Mag., Vol. 44, No. 2, 48-58, April 2002.
doi:10.1109/MAP.2002.1003634

11. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media, Artech House, Boston, 1994.

12. Lindell, I. V. and K. H. Wallen, "Differential-form electromagnetics and bi-anisotropic Q-media," Journal of Electromagnetic Waves and Applications, Vol. 18, 957-968, 2004.
doi:10.1163/156939304323105772

13. Lindell, I. V. and K. H. Wallen, "Generalized Q-media and field decomposition in differential-form approach," Journal of Electromagnetic Waves and Applications, Vol. 18, 1045-1056, 2004.
doi:10.1163/1569393042955397

14. Lindell, I. V., "Affine transformations and bi-anisotropic media in differential-form approach," Journal of Electromagnetic Waves and Applications, Vol. 18, 1259-1273, 2004.
doi:10.1163/1569393042955315

15. Lindell, I. V., "Electromagnetic wave equation in differential-form representation," Progress In Electromagnetics Research, Vol. 54, 321-333, 2005.
doi:10.2528/PIER05021002

16. Lindell, I. V., "The class of electromagnetic IB-media," Progress In Electromagnetics Research, Vol. 57, 1-18, 2006.
doi:10.2528/PIER05061302

17. Lindell, I. V., "Inverse for the skewon medium dyadics," Progress In Electromagnetics Research, Vol. 63, 21-32, 2006.
doi:10.2528/PIER06062201