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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 27, Iss. 6 — Jun. 1, 2010
  • pp: 1215–1220

Electromagnetic field energy in dispersive materials

Kevin J. Webb and Shivanand  »View Author Affiliations

JOSA B, Vol. 27, Issue 6, pp. 1215-1220 (2010)

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A general expression for the electromagnetic energy density in a lossy dispersive medium, applicable for a field having a narrow temporal frequency bandwidth, is derived and compared with exact results for an example dielectric constant. Consequently, the possibility of negative time-averaged stored field energy is shown to have physical meaning. This observation is of interest in the study of dispersive metamaterials, such as those which can exhibit a negative refractive index.

© 2010 Optical Society of America

OCIS Codes
(260.2030) Physical optics : Dispersion
(260.2110) Physical optics : Electromagnetic optics
(160.3918) Materials : Metamaterials

ToC Category:
Physical Optics

Original Manuscript: February 18, 2010
Manuscript Accepted: March 4, 2010
Published: May 12, 2010

Kevin J. Webb and Shivanand, "Electromagnetic field energy in dispersive materials," J. Opt. Soc. Am. B 27, 1215-1220 (2010)

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  1. V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ϵ, and μ,” Sov. Phys. Usp. 10, 509–514 (1968). [CrossRef]
  2. R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001). [CrossRef] [PubMed]
  3. L. Brillouin, Wave Propagation and Group Velocity (Academic Press, 1960).
  4. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media (Pergamon, 1960).
  5. R. Loudon, “The propagation of electromagnetic energy through an absorbing dielectric,” J. Phys. A 3, 233–245 (1970). [CrossRef]
  6. V. G. Polevoi, “Maximum energy extractable from an electromagnetic field,” Izv. Vyssh. Uchebn. Zaved., Radiofiz. 33, 818–825 (1990).
  7. R. Ruppin, “Elecromagnetic energy density in a dispersive and absorptive material,” Phys. Lett. A 299, 309–312 (2002). [CrossRef]
  8. S. A. Tretyakov, “Electromagnetic field energy density in artificial microwave materials with strong dispersion and loss,” Phys. Lett. A 343, 231–237 (2005). [CrossRef]
  9. A. D. Boardman and K. Marinov, “Electromagnetic energy in a dispersive metamaterial,” Phys. Rev. B 73, 165110 (2006). [CrossRef]
  10. T. J. Cui and J. A. Kong, “Time-domain electromagnetic energy in a frequency-dispersive left-handed medium,” Phys. Rev. B 70, 205106 (2004). [CrossRef]
  11. R. W. Ziolkowski, “Superluminal transmission of information through an electromagnetic medium,” Phys. Rev. E 63, 046604 (2001). [CrossRef]
  12. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1999).
  13. D. R. Smith and N. Kroll, “Negative refractive index in left-handed materials,” Phys. Rev. Lett. 85, 2933–2936 (2000). [CrossRef] [PubMed]
  14. J. Skaar and K. Seip, “Bounds for the refractive indices of metamaterials,” J. Phys. D 39, 1226–1229 (2006). [CrossRef]
  15. A. Yariv, Quantum Electronics, 2nd ed. (Wiley, 1975).
  16. G. Nedlin, “Energy in lossless and low-loss networks, and Foster’s reactance theorem,” IEEE Trans. Circuits Syst. 36, 561–567 (1989). [CrossRef]
  17. K. J. Webb and L. Thylén, “A perfect lens material condition from adjacent absorptive and gain resonances,” Opt. Lett. 33, 747–749 (2008). [CrossRef] [PubMed]
  18. K. J. Webb and A. Ludwig, “Semiconductor quantum dot mixture as a lossless negative dielectric constant optical material,” Phys. Rev. B 78, 153303 (2008). [CrossRef]

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