PIER B
 
Progress In Electromagnetics Research B
ISSN: 1937-6472
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 28 > pp. 143-162

THE CLASS OF ELECTROMAGNETIC P-MEDIA AND ITS GENERALIZATION

By I. V. Lindell, L. Bergamin, and A. Favaro

Full Article PDF (179 KB)

Abstract:
Applying four-dimensional differential-form formalism, a novel class of electromagnetic media, labeled as that of P-media, is introduced in terms of a simple rule. It is shown that it is not possible to define the medium by expressing D and B in terms of E and H, whilst using 3D Gibbsian vectors and dyadics. Moreover, the basic properties of P-media are shown to be complementary to those of the previously known Q-media, which are defined in a somewhat similar manner. It is demonstrated that, for plane waves in a P-medium, there is no restriction to the wave one-form (corresponding to the k-vector). Importantly, the uniaxial P-medium half space also leads to another realization of the recently studied DB boundary conditions. Finally, a generalization of the class of P-media is brie y discussed. It is shown that the dispersion equation of a plane wave in the generalized Pmedium is decomposed into two conditions, each of which corresponds to a certain polarization condition. This occurrence resembles the behaviour of the generalized Q-medium.

Citation:
I. V. Lindell, L. Bergamin, and A. Favaro, "The Class of Electromagnetic P-Media and its Generalization," Progress In Electromagnetics Research B, Vol. 28, 143-162, 2011.
doi:10.2528/PIERB11011202

References:
1. Gibbs, J. W., Vector Analysis, Dover, New York, 1960 (reprint from the 2nd edition of 1909).

2. Kong, J. A., Electromagnetic Wave Theory, 138, EMW Publishing, Cambridge, MA, 2005.

3. Lindell, I. V., "Methods for Electromagnetic Field Analysis,", 54, Wiley, New York, 1995.

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

5. Hehl, F. W. and Y. N. Obukhov, Foundations of Classical Electrodynamics, Birkhäuser, Boston, 2003.

6. Lindell, I. V., Differential Forms in Electromagnetics, Wiley, New York, 2004.

7. Lindell, I. V. and H. Wallén, "Wave equations for bi-anisotropic media in differential forms," Journal of Electromagnetic Waves and Applications, Vol. 16, No. 11, 1615-1635, 2002.
doi:10.1163/156939302X01038

8. Lindell, I. V., "Dfferential forms and electromagnetic materials," Theory and Phenomena of Metamaterials, F. Capolino (ed.), 4.1-4.16, CRC Press, Boca Raton, 2009.

9. Lindell, I. V. and H. Wallén, "Wave equations for bi-anisotropic media in differential forms," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 7, 957-968, 2004.
doi:10.1163/156939304323105772

10. 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

11. Szekeres, P., Modern Mathematical Physics, Cambridge University Press, 2004.
doi:10.1017/CBO9780511607066

12. Lindell, I. V. and A. H. Sihvola, "Perfect electromagnetic conductor," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 7, 861-869, 2005.
doi:10.1163/156939305775468741

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

14. Post, E. J., Formal Structure of Electromagnetics, Dover, Mineola, NY, 1997 (reprint from the 1962 original).

15. Lindell, I. V. and A. Sihvola, "Uniaxial IB-medium interface and novel boundary conditions," IEEE Trans. Antennas Propagat., Vol. 57, No. 3, 694-700, 2009.
doi:10.1109/TAP.2009.2013431

16. Lindell, I. V. and A. Sihvola, "Electromagnetic boundary condition and its realization with anisotropic metamaterial," Phys. Rev. E, Vol. 79, No. 2, 026604-1-7, 2009.
doi:10.1103/PhysRevE.79.026604

17. Lindell, I. V. and A. Sihvola, "Electromagnetic boundary conditions defined in terms of normal field components," IEEE Trans. Antennas Propag., Vol. 58, No. 4, 1128-1135, Apr. 2010.
doi:10.1109/TAP.2010.2041149

18. Rumsey, V. H., "Some new forms of Huygens' principle," IRE Trans. Antennas Propagat., Vol. 7, S103-S116, Special Supplement, 1959.

19. Zhang, B., H. Chen, B.-I. Wu, and J. A. Kong, "Extraordinary surface voltage effect in the invisibility cloak with an active device inside ," Phys. Rev. Lett., Vol. 100, 063904-1-4, Feb. 15, 2008.

20. Yaghjian, A. D. and S. Maci, Alternative derivation of electromagnetic cloaks and concentrators, New J. Phys., Vol. 10, 115022-1, 2008; Corrigendum, Ibid., Vol. 11, 039802, 2009.

21. Kildal, P.-S., "Fundamental properties of canonical soft and hard surfaces, perfect magnetic conductors and the newly introduced DB surface and their relation to different practical applications included cloaking ," Proc. ICEAA'09, 607-610, Torino, Italy, Aug. 2009.

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


© Copyright 2010 EMW Publishing. All Rights Reserved