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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 5, Iss. 11 — Nov. 1, 1988
  • pp: 2395–2398

Velocity of energy transport for a time-harmonic field in a multiple-resonance Lorentz medium

Kurt Edmund Oughstun and Shioupyn Shen  »View Author Affiliations

JOSA B, Vol. 5, Issue 11, pp. 2395-2398 (1988)

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The velocity of propagation of electromagnetic energy for a monochromatic plane-wave field in a causally dispersive dielectric, medium with absorption as described by the Lorentz model, is considered within the framework of Poynting’s theorem. A general, rigorous expression for the energy-transport velocity in a Lorentz medium with multiple-resonance frequencies is derived. From this rigorous result, an approximate expression for the energy velocity is obtained that is in a form that is independent of the medium model and so is likely to be applicable to general dispersive media.

© 1988 Optical Society of America

Original Manuscript: May 9, 1988
Manuscript Accepted: June 26, 1988
Published: November 1, 1988

Kurt Edmund Oughstun and Shioupyn Shen, "Velocity of energy transport for a time-harmonic field in a multiple-resonance Lorentz medium," J. Opt. Soc. Am. B 5, 2395-2398 (1988)

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  1. L. Brillouin, Wave Propagation and Group Velocity (Academic, New York, 1960).
  2. R. Loudon, “The propagation of electromagnetic energy through an absorbing dielectric,” J. Phys. 3, 233–245 (1970).
  3. S. Shen, Dispersive Pulse Propagation in a Multiple Resonance Lorentz Medium, M.S. thesis (University of Wisconsin–Madison, Madison Wisc., 1986).
  4. H. A. Lorentz, Theory of Electrons, 2nd ed. (Dover, New York, 1952).
  5. L. Rosenfeld, Theory of Electrons (Dover, New York, 1965).
  6. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975), Chap. 7.
  7. M. Born, E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1970), Sec. 1.1.4.

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