volume | PIER Journals

Abstract

Representation of electromagnetic expressions in terms of the four-dimensional differential-form formalism has been recently shown to allow simple analysis to problems involving general classes of linear electromagnetic media. In the present paper, another class of media is defined by expressing the medium dyadic representing the mapping between the electromagnetic two-forms in terms of one dyadic representing mapping between two four-vectors. Thus, the class, labeled as that of IB-media, is represented by 16 parameters instead of the 36 of the most general bi-anisotropic medium. Condition for the medium dyadic is derived and and properties of fields in the IB-medium are discussed.

1. Deschamps, G. A., "Electromagnetics and differential forms," Proc. IEEE, Vol. 69, No. 6, 676-696, 1981. Google Scholar

2. Baldomir, D. and P. Hammond, Geometry of Electromagnetic Systems, Claren-don Press, 1996.

3. Warnick, K. F. and D. V. Arnold, "Electromagnetic Green functions using differential forms," J. Electro. Waves Appl., Vol. 10, No. 3, 427-438, 1996. Google Scholar

4. Hehl, F. W. and Yu. N. Obukhov, Foundations of Classical Electrodynamics, Birkhüser, 2003.

5. Lindell, I. V., Differential Forms in Electromagnetics, Wiley and IEEE Press, 2004.

6. Lindell, I. V. and K. H. Wallén, "Wave equations for bi-anisotropic media in differential forms," J. Electromag. Waves Appl., Vol. 16, No. 11, 1615-1635, 2002. Google Scholar

7. Lindell, I. V. and A. H. Sihvola, "Perfect electromagnetic conductor," J. Electromag. Waves Appl., Vol. 19, No. 7, 861-869, 2005.
doi:10.1163/156939305775468741 Google Scholar

8. Lindell, I. V. and A. H. Sihvola, "Transformation method for problems involving perfect electromagnetic conductor (PEMC) structures," IEEE Trans. Antennas Propagat.. Google Scholar

9. Lindell, I. V. and A. H. Sihvola, "Realization of the PEMC boundary," IEEE Trans. Antennas Propagat., to appear.. Google Scholar

10. Lindell, I. V. and F. Olyslager, "Generalized decomposition of electromagnetic fields in bi-anisotropic media," IEEE Trans. Antennas Propagat., Vol. 46, No. 10, 1584-1585, 1998.
doi:10.1109/8.725294 Google Scholar

11. Olyslager, F. and I. V. Lindell, "Field decomposition and factor- ization of the Helmholtz determinant operator for bianisotropic media," IEEE Trans. Antennas and Propag., Vol. 49, No. 4, 660-665, 2001.
doi:10.1109/8.923328 Google Scholar

12. Olyslager, F. and I. V. Lindell, "Electromagnetics and exotic media — a quest to the Holy Grail," IEEE Trans. Antennas and Propag. Mag., Vol. 44, No. 2, 48-58, 2002.
doi:10.1109/MAP.2002.1003634 Google Scholar

13. Lindell, I. V. and K. H. Wallén, "Generalized Q-media and field decomposition in differential-form approach," J. Electromag. Waves Appl., Vol. 18, No. 8, 1045-1056, 2004.
doi:10.1163/1569393042955397 Google Scholar

14. Obukhov, Yu. N. and F. W. Hehl, "Possible skewon effects on light propagation," Phys. Rev., Vol. D70, 2004. Google Scholar

15. Hehl, F. W. and Yu. N. Obukhov, "Linear media in classical electrodynamics and the Post constraint," Phys. Lett., Vol. A334, 249-259, 2005. Google Scholar

16. Hehl, F. W., Y. Itin, and Yu. N. Obukhov, "Recent developments in premetric electrodynamics," Proceedings of the 3rd Summer School in Modern Mathematical Physics. Google Scholar

17. Lindell, I. V., Methods for Electromagnetic Field Analysis, 2nd Ed., 1995.

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

19. Lindell, I. V., "Electromagnetic wave equation in differential-form representation," Prog. in Electromag. Res., Vol. 54, 321-333, 2005.
doi:10.2528/PIER05021002 Google Scholar

Prof. Ismo Veikko Lindell