Search search
Publication Date
to
Vol. 40
Latest Volume
All Volumes
PIERB 118 PIERB 117 PIERB 116 PIERB 115 PIERB 114 PIERB 113 PIERB 112 PIERB 111 PIERB 110 PIERB 109 PIERB 108 PIERB 107 PIERB 106 PIERB 105 PIERB 104 PIERB 103 PIERB 102 PIERB 101 PIERB 100 PIERB 99 PIERB 98 PIERB 97 PIERB 96 PIERB 95 PIERB 94 PIERB 93 PIERB 92 PIERB 91 PIERB 90 PIERB 89 PIERB 88 PIERB 87 PIERB 86 PIERB 85 PIERB 84 PIERB 83 PIERB 82 PIERB 81 PIERB 80 PIERB 79 PIERB 78 PIERB 77 PIERB 76 PIERB 75 PIERB 74 PIERB 73 PIERB 72 PIERB 71 PIERB 70 PIERB 69 PIERB 68 PIERB 67 PIERB 66 PIERB 65 PIERB 64 PIERB 63 PIERB 62 PIERB 61 PIERB 60 PIERB 59 PIERB 58 PIERB 57 PIERB 56 PIERB 55 PIERB 54 PIERB 53 PIERB 52 PIERB 51 PIERB 50 PIERB 49 PIERB 48 PIERB 47 PIERB 46 PIERB 45 PIERB 44 PIERB 43 PIERB 42 PIERB 41 PIERB 40 PIERB 39 PIERB 38 PIERB 37 PIERB 36 PIERB 35 PIERB 34 PIERB 33 PIERB 32 PIERB 31 PIERB 30 PIERB 29 PIERB 28 PIERB 27 PIERB 26 PIERB 25 PIERB 24 PIERB 23 PIERB 22 PIERB 21 PIERB 20 PIERB 19 PIERB 18 PIERB 17 PIERB 16 PIERB 15 PIERB 14 PIERB 13 PIERB 12 PIERB 11 PIERB 10 PIERB 9 PIERB 8 PIERB 7 PIERB 6 PIERB 5 PIERB 4 PIERB 3 PIERB 2 PIERB 1
All Journals
PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2012-05-09
Energy Density of Macroscopic Electric and Magnetic Fields in Dispersive Medium with Losses
By
Oleg B. Vorobyev

    Dr. Oleg B. Vorobyev

    Stavropol Institute of Radiocommunications

    Russia

    Homepage

Progress In Electromagnetics Research B, Vol. 40, 343-360, 2012
doi:10.2528/PIERB12032706 | Google Scholar

Abstract
Electric permittivity and magnetic permeability of linear passive dispersive medium were defined using the circuit equation of an electrically small antenna (scatterer) with resonant and antiresonant properties. It was shown that the average macroscopic energy stored by the scatterers is proportional to frequency derivative of the input admittance of corresponding antenna. It was found that the average macroscopic energy density of electric and magnetic fields in dispersive lossy medium is a function of frequency derivatives of its effective constitutive parameters in accordance with Poynting's theorem in dispersive lossy medium clarified for this case in the paper.
Download Full Article (1036) View Full Article volume
Citation
Oleg B. Vorobyev, "Energy Density of Macroscopic Electric and Magnetic Fields in Dispersive Medium with Losses," Progress In Electromagnetics Research B, Vol. 40, 343-360, 2012.
doi:10.2528/PIERB12032706
References

1. Ikonen, P. and S. Tretyakov, "Generalised permeability function and field energy density in artificial magnetic using the equivalent circuit method," IEEE Trans. Microw. Theory Tech., Vol. 55, 92-99, 2007.
doi:10.1109/TMTT.2006.886914        Google Scholar

2. Luan, P. G., "Power loss and electromagnetic energy density in a dispersive metamaterial medium," Phys. Rev. E, Vol. 80, 046601, 2009.
doi:10.1103/PhysRevE.80.046601        Google Scholar

3. Bordman, A. D. and K. Marinov, "Electromagnetic energy in a dispersive metamaterial," Phys. Rev. B, Vol. 73, 165110, 2006.
doi:10.1103/PhysRevB.73.165110        Google Scholar

4. Luan, P.-G., Y.-T. Wang, S. Zhang, and X. Zhang, "Electromagnetic energy density in a single-resonance chiral metamaterial," Opt. Lett., Vol. 36, No. 5, 675-677, March 1, 2011.
doi:10.1364/OL.36.000675        Google Scholar

5. Tretyakov, S., "Electromagnetic field energy density in artificial microwave materials with strong dispersion and loss ," Phys. Lett. A, Vol. 343, 231-237, June 2005.
doi:10.1016/j.physleta.2005.06.023        Google Scholar

6. Ruppin, R., "Electromagnetic energy density in a dispersive and absorptive material ," Phys. Lett. A, Vol. 299, 309-312, July 2002.        Google Scholar

7. Vainstein, L. A., Electromagnetic Waves, 2nd Ed., Radio i Sviaz, Moscow, 1988 (in Russian).

8. Yaghjian, A. D. and S. R. Best, "Impedance, bandwidth and Q of antennas," IEEE Trans. Antennas Propag., Vol. 53, No. 4, 1298-1324, 2005.
doi:10.1109/TAP.2005.844443        Google Scholar

9. Vorobyev, O. B., "The conductance bandwidth of an electrically small antenna in antiresonant ranges," Progress In Electromagnetics Research B, Vol. 24, 285-301, 2010.
doi:10.2528/PIERB10061206        Google Scholar

10. Vorobyev, O. B., "E±cient electrically small oblate spheroidal and spherical antennas in shells with negative permittivity ," Progress In Electromagnetics Research B, Vol. 21, 151-170, 2010.        Google Scholar

11. Vorobyev, O. B., "Quality factor of an antenna with closely spaced resonances," IEEE Antennas and Wireless Propag. Lett., Vol. 10, 1216-1219, 2011.
doi:10.1109/LAWP.2011.2173653        Google Scholar

12. Landau, L. D. and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd Ed., Pergamon, 1984.

13. Jackson, J. D., Classical Electrodynamics, 3nd Ed., John Willey & Sons, Inc., 1999.

14. Ramakrishna, S. A. and T. M. Grzegorczyk, Physics and Applications of Negative Refractive Index Materials, CRC Press, Boca Raton, 2009.

15. Vorobyev, O. B., "Bandwidth and quality factor of a small antenna with coupled impedance resonances," Proceedings of the IEEE of the Circuits, Devices and Systems Symposium of the IEEE Canadian Conference on Electrical and Computer Engineering, 301-304, May 2011.

16. Stuart, H. R., S. R. Best, and A. D. Yaghjian, "Limitations in relating quality factor to bandwidth in a double resonance small antenna ," IEEE Antennas and Wireless Propag. Lett., Vol. 6, 460-463, 2007.
doi:10.1109/LAWP.2007.905018        Google Scholar

17. McLean, J. S., "A re-examination of the fundamental limits on the radiation Q of electrically small antennas," IEEE Trans. Antennas Propag., Vol. 44, 672-676, May 1996.
doi:10.1109/8.496253        Google Scholar

18. Vorobyev, O. B., "Spherical and spheroidal antennas in resonant, quasi-resonant, and antiresonant shells with negative permittivity," IET Microwaves, Antennas and Propagation, Vol. 6, No. 2, 142-150, 2012.
doi:10.1049/iet-map.2011.0161        Google Scholar

19. Bird, J., Electrical Circuit Theory and Technology, 4th Ed., Elsevier, 2010.

20. Bahl, I. J., Lumped Elements for RF and Microwave Circuits, Artech House, 2003.

21. Kraus, J. D, Antennas, 2nd Ed., McGraw-Hill, 1997.

22. Crawford, Jr., F. S., Waves, 3rd Ed., McGraw-Hill, 1968.

Download Full Article (1036) View Full Article volume


The EM Academy piers.org jpier.org Who's Who in EM
Copyright © 2022 The Electromagnetics Academy. All Rights Reserved.