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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 6 — Jun. 1, 2008
  • pp: 927–936

Negative refraction and the minimum lattice cell size

Igor Tsukerman  »View Author Affiliations


JOSA B, Vol. 25, Issue 6, pp. 927-936 (2008)
http://dx.doi.org/10.1364/JOSAB.25.000927


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Abstract

Artificial periodic structures (metamaterials and photonic crystals) with feature sizes smaller than the wavelength can be capable of supporting backward waves and producing negative refraction. However, backward waves may only exist if the lattice cell size is a sufficiently large fraction of the vacuum wavelength and/or the Bloch wavelength. Explicit lower bounds for the cell size are established and imply, in particular, a limit on the optical resolution of negative-index lenses. A key tool in the analysis is Fourier decomposition of Bloch waves and related eigenfrequency estimates. Numerical examples and a detailed exposition of the mechanism of backward waves are included.

© 2008 Optical Society of America

OCIS Codes
(100.6640) Image processing : Superresolution
(160.3820) Materials : Magneto-optical materials
(260.2110) Physical optics : Electromagnetic optics
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Physical Optics

History
Original Manuscript: January 3, 2008
Revised Manuscript: March 14, 2008
Manuscript Accepted: March 15, 2008
Published: May 15, 2008

Virtual Issues
Vol. 3, Iss. 7 Virtual Journal for Biomedical Optics

Citation
Igor Tsukerman, "Negative refraction and the minimum lattice cell size," J. Opt. Soc. Am. B 25, 927-936 (2008)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-25-6-927

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