volume | PIER Journals

Abstract

Two basic classes of electromagnetic medium, recently defined as P and Q medium, are generalized to define the class of PQ media. Plane wave propagation in the general PQ medium is studied and the quartic dispersion equation is derived in analytic form applying four-dimensional dyadic formalism. The result is verified by considering various special cases of PQ media for which the dispersion equation is either decomposed to two quadratic equations or is identically satisfied (media with no dispersion equation). As a numerical example, the dispersion surface of a PQ medium with non-decomposable dispersion equation is considered.

1. Kong, J. A., Electromagnetic Wave Theory, EMW Publishing, 2005.

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

3. Hehl, F. W. and Yu. N. Obukhov, Foundations on Classical Electrodynamics, Birkhäuser, 2003.
doi:10.1007/978-1-4612-0051-2

4. Deschamps, G. A., "Electromagnetics and differential forms," Proc. IEEE, Vol. 69, No. 6, 676-696, 1981.
doi:10.1109/PROC.1981.12048 Google Scholar

5. Lindell, I. V., Differential Forms in Electromagnetics, Wiley, 2004.
doi:10.1002/0471723096

6. Lindell, I. V., Multiforms, Dyadics, and Electromagnetic Media, Wiley, 2015.

7. Warnick, K. F. and P. Russer, "Differential forms and electromagnetic field theory (invited paper)," Progress In Electromagnetics Research, Vol. 148, 83-112, 2014.
doi:10.2528/PIER14063009 Google Scholar

8. Lindell, I. V. and A. Favaro, "Decomposition of electromagnetic Q and P media," Progress In Electromagnetics Research B, Vol. 63, 79-93, 2015.
doi:10.2528/PIERB15030901 Google Scholar

9. Lindell, I. V., L. Bergamin, and A. Favaro, "The class of electromagnetic P-media and its generalization," Progress In Electromagnetics Research B, Vol. 28, 143-162, 2011. Google Scholar

10. Lindell, I. V. and K. H. Wallén, "Differential-form electromagnetics and bi-anisotropic Q-media," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 7, 957-968, 2004.
doi:10.1163/156939304323105772 Google Scholar

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

12. Lindell, I. V. and A. Favaro, "Electromagnetic media with no dispersion equation," Progress In Electromagnetics Research B, Vol. 51, 269-289, 2013.
doi:10.2528/PIERB13033107 Google Scholar

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

14. Lindell, I. V., L. Bergamin, and A. Favaro, "Decomposable medium condition in four-dimensional representation," IEEE Trans. Antennas Propag., Vol. 60, No. 1, 367-376, Jan. 2011.
doi:10.1109/TAP.2011.2167937 Google Scholar

15. Capolino, F. and ed., Theory and Phenomena of Metamaterials, CRC Press, 2009.
doi:10.1201/9781420054262

16. Shahvarpour, A., T. Kodera, A. Parsa, and C. Caloz, "Arbitrary electromagnetic conductor boundaries using Faraday rotation in a grounded ferrite slab," IEEE Trans. Microwave Theory Tech., Vol. 58, No. 11, 2781-2793, 2010.
doi:10.1109/TMTT.2010.2078010 Google Scholar

17. El-Maghrabi, H. M., A. M. Attiya, and E. A. H. Hashish, "Design of a perfect electromagnetic conductor (PEMC) boundary by using periodic patches," Progress In Electromagnetics Research M, Vol. 16, 159-169, 2011.
doi:10.2528/PIERM10112201 Google Scholar

18. Zaluski, D., D. Muha, and S. Hrabar, "DB boundary based on resonant metamaterial inclusions," Metamaterials'2011, 820-822, Barcelona, Oct. 2011. Google Scholar

19. Zaluski, D., S. Hrabar, and D. Muha, "Practical realization of DB metasurface," Appl. Phys. Lett., Vol. 104, 234106, 2014.
doi:10.1063/1.4883405 Google Scholar

Prof. Ismo Veikko Lindell