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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 9 — Apr. 27, 2009
  • pp: 7322–7324

Correct denition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossible: comment

R. Marqués  »View Author Affiliations


Optics Express, Vol. 17, Issue 9, pp. 7322-7324 (2009)
http://dx.doi.org/10.1364/OE.17.007322


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Abstract

It is shown that, when all macroscopic currents associated with the electric and magnetic polarizability are properly accounted for, the standard expression for the Poynting vector and the average work exerted by the electric field on the electric charges provide exactly the same value for the heating rate. Therefore, there is no contradiction between negative refraction and thermodynamics.

© 2009 Optical Society of America

OCIS Codes
(160.1245) Materials : Artificially engineered materials
(350.3618) Other areas of optics : Left-handed materials

ToC Category:
Metamaterials

History
Original Manuscript: December 3, 2008
Revised Manuscript: January 19, 2009
Manuscript Accepted: February 11, 2009
Published: April 17, 2009

Citation
R. Marqués, "Comment on “Correct denition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossible”," Opt. Express 17, 7322-7324 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-9-7322


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References

  1. V. A. Markel "Correct denition of the Poynting vector in electrically and magnetically polarizable medium reveals that negative refraction is impossible." Opt. Express. 16, 19152-19168 (2008). [CrossRef]
  2. J. D. Jackson, Classical Electrodynamics, 3rd ed., (Wiley, 1999).
  3. In some textbooks (e.g. [4]) this equation is formulated only for the entire body, and the surface integral is taken in free space, outide the body. In this case the surface integral formally disappear (however its contribution is still present, due to the infinite derivatives of M just on the surface of the body). However, when the surface integral is placed inside the body (or just on the surface of the body), this contribution is necessary in order to recover the magnetization.
  4. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamisc of Continuous Media, (Pergamon, 1984).

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