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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 21 — Nov. 1, 2007
  • pp: 3107–3109

Theory of the time reversal cavity for electromagnetic fields

R. Carminati, R. Pierrat, J. de Rosny, and M. Fink  »View Author Affiliations


Optics Letters, Vol. 32, Issue 21, pp. 3107-3109 (2007)
http://dx.doi.org/10.1364/OL.32.003107


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Abstract

We derive a general expression of the electric dyadic Green function in a time-reversal cavity, based on vector diffraction theory in the frequency domain. Our theory gives a rigorous framework to time-reversal experiments using electromagnetic waves and suggests a methodology to design structures generating subwavelength focusing after time reversal.

© 2007 Optical Society of America

OCIS Codes
(190.5040) Nonlinear optics : Phase conjugation
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

History
Original Manuscript: July 6, 2007
Revised Manuscript: September 26, 2007
Manuscript Accepted: October 1, 2007
Published: October 19, 2007

Citation
R. Carminati, R. Pierrat, J. de Rosny, and M. Fink, "Theory of the time reversal cavity for electromagnetic fields," Opt. Lett. 32, 3107-3109 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-21-3107


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References

  1. M. Fink, Phys. Today 20(12), 34 (1997). [CrossRef]
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  9. The vector form of Sommerfeld's radiation condition reads limr′-->∞[∇r′×G⃡(r′,r,ω)−iku×G⃡(r′,r,ω)]=0, where k=ω/c, r′=∣r′∣, and u=r′/r′. This condition states that G⃡ behaves as an outgoing (retarded) wave.
  10. For two well-behaved vector fields A(r) and B(r), the second Green identity reads as ∫V[A∙∇×∇×B−B∙∇×∇×A]d3r=∫S[B×∇×A−A×∇×B]∙nd2r, where V is a volume enclosed by surface S and n is the outward normal. See Refs. .
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  12. For any dyadic D⃡ and any vectors U and V, one has U∙D⃡V=V∙D⃡TU.
  13. L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Pergamon, 1984), Sect. 89.
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