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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 3 — Mar. 1, 2006
  • pp: 529–534

Second-harmonic generation in nonlinear left-handed metamaterials

Ilya V. Shadrivov, Alexander A. Zharov, and Yuri S. Kivshar  »View Author Affiliations

JOSA B, Vol. 23, Issue 3, pp. 529-534 (2006)

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We study the second-harmonic generation (SHG) in left-handed metamaterials with a quadratic nonlinear response. We demonstrate a novel type of the exact phase matching between the backward-propagating wave of the fundamental frequency and the forward-propagating wave of the second harmonic (SH). We show that this novel parametric process can convert a surface of the left-handed metamaterial into an effective mirror that totally reflects the SH generated by an incident wave. We derive and analyze theoretically the coupled-mode equations for a semi-infinite nonlinear metamaterial. We also numerically study the SHG by a metamaterial slab of a finite thickness and reveal the existence of multistable nonlinear effects.

© 2006 Optical Society of America

OCIS Codes
(190.1450) Nonlinear optics : Bistability
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes

ToC Category:

Original Manuscript: June 13, 2005
Manuscript Accepted: August 21, 2005

Ilya V. Shadrivov, Alexander A. Zharov, and Yuri S. Kivshar, "Second-harmonic generation in nonlinear left-handed metamaterials," J. Opt. Soc. Am. B 23, 529-534 (2006)

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