OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 25 — Dec. 8, 2008
  • pp: 20266–20271

Nonlinear magnetic metamaterials

Ilya V. Shadrivov, Alexander B. Kozyrev, DanielW. van der Weide, and Yuri S. Kivshar  »View Author Affiliations

Optics Express, Vol. 16, Issue 25, pp. 20266-20271 (2008)

View Full Text Article

Enhanced HTML    Acrobat PDF (311 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study experimentally nonlinear tunable magnetic metamaterials operating at microwave frequencies. We fabricate the nonlinear metamaterial composed of double split-ring resonators where a varactor diode is introduced into each resonator so that the magnetic resonance can be tuned dynamically by varying the input power. We demonstrate that at higher powers the transmission of the metamaterial becomes power-dependent and, as a result, such metamaterial can demonstrate various nonlinear properties. In particular, we study experimentally the power-dependent shift of the transmission band and demonstrate nonlinearity-induced enhancement (or suppression) of wave transmission.

© 2008 Optical Society of America

OCIS Codes
(350.4010) Other areas of optics : Microwaves
(160.3918) Materials : Metamaterials

ToC Category:

Original Manuscript: September 17, 2008
Revised Manuscript: November 16, 2008
Manuscript Accepted: November 21, 2008
Published: November 24, 2008

Ilya V. Shadrivov, Alexander B. Kozyrev, Daniel W. van der Weide, and Yuri S. Kivshar, "Nonlinear magnetic metamaterials," Opt. Express 16, 20266-20271 (2008)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. M. Soukoulis, "Bending back light: The science of negative index materials," Opt. Photon. News 17, 16-21 (2006). [CrossRef]
  2. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000). [CrossRef] [PubMed]
  3. A. A. Zharov, I. V. Shadrivov, and Yu. S. Kivshar, "Nonlinear properties of left-handed metamaterials," Phys. Rev. Lett. 91, 037401-4 (2003). [CrossRef] [PubMed]
  4. M. Gorkunov and M. Lapine, "Tuning of a nonlinear metamaterial band gap by an external magnetic field," Phys. Rev. B 70, 235109-9 (2004). [CrossRef]
  5. M. Lapine, M. Gorkunov, and K. H. Ringhofer, "Nonlinearity of a metamaterial arising from diode insertions into resonant conductive elements," Phys. Rev. E 67, 065601-4 (2003). [CrossRef]
  6. S. Lim, C. Caloz, and T. Itoh, "Metamaterial-based electronically controlled transmission-line structure as a novel leaky-wave antenna with tunable radiation angle and beamwidth," IEEE Trans. Microwave Theory Tech. 52, 2678-2690 (2004). [CrossRef]
  7. H. T. Chen, W. J. Padilla, J. M. O. Zide, A. C. Gossard, A. J. Taylor, and R. D. Averitt, "Active terahertz metamaterial devices," Nature (London) 444,597-600 (2006). [CrossRef]
  8. I. V. Shadrivov and Yu. S. Kivshar, "Nonlinear Effects in Left-Handed Metamaterials," in Physics of Negative refraction and Negative Index Materials, Vol. 98 of Springer Series in Materials Science, C. M. Krowne and Y. Zhang, eds., (Springer-Verlag, Berlin, 2007), pp. 331-371.
  9. I. V. Shadrivov, S. K. Morrison, and Yu. S. Kivshar, "Tunable split-ring resonators for nonlinear negative-index metamaterials," Opt. Express 14, 9344-9349 (2006). [CrossRef] [PubMed]
  10. A. Degiron, J. J. Mock, and D. R. Smith, "Modulating and tuning the response of metamaterials at the unit cell level," Opt. Express 15, 1115-1127 (2007). [CrossRef] [PubMed]
  11. D. A. Powell, I. V. Shadrivov, Y. S. Kivshar, and M. V. Gorkunov, "Self-tuning mechanisms of nonlinear split-ring resonators," Appl. Phys. Lett. 91, 144107 (2007). [CrossRef]
  12. M. W. Feise, I. V. Shadrivov, and Yu. S. Kivshar, "Tunable transmission and bistability in left-handed band-gap structures," Appl. Phys. Lett. 85, 1451-1453 (2004). [CrossRef]
  13. V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov, "Linear and nonlinear wave propagation in negative refraction metamaterials," Phys. Rev. B 69, 165112-165117 (2004). [CrossRef]
  14. I. V. Shadrivov, A. A. Zharov, and Yu. S. Kivshar, "Second-harmonic generation in nonlinear left-handed metamaterials," J. Opt. Soc. Am. B 23, 529-534 (2006). [CrossRef]
  15. A. K. Popov and V. M. Shalaev, "Compensating losses in negative-index metamaterials by optical parametric amplification," Opt. Lett. 31, 2169-2171 (2006). [CrossRef] [PubMed]
  16. S. Wen, Y. Wang, W. Su, Y. Xiang, X. Fu, and D. Fan, "Modulation instability in nonlinear negative-index material," Phys. Rev. E 73, 36617 (2006). [CrossRef]
  17. N. Lazarides, M. Eleftheriou, and G. P. Tsironis, "Discrete Breathers in Nonlinear Magnetic Metamaterials," Phys. Rev. Lett. 97, 157406-4 (2006). [CrossRef] [PubMed]
  18. Y. Liu, G. Bartal, D. A. Genov, and X. Zhang, "Subwavelength Discrete Solitons in Nonlinear Metamaterials," Phys. Rev. Lett. 99, 153901-4 (2007). [CrossRef] [PubMed]
  19. S. Feng and K. Halterman, "Parametrically Shielding Electromagnetic Fields by Nonlinear Metamaterials," Phys. Rev. Lett. 100, 63901-4 (2008). [CrossRef]
  20. A.B. Kozyrev, H. Kim, A. Karbassi, and D. W. van der Weide, "Wave propagation in nonlinear left-handed transmission line media," Appl. Phys. Lett. 87, 121109-3 (2005). [CrossRef]
  21. A. B. Kozyrev, H. Kim, and D. W. van der Weide, "Parametric amplification in left-handed transmission line media," Appl. Phys. Lett. 88, 264101-3 (2006). [CrossRef]
  22. A. B. Kozyrev and D. W. van der Weide, "Trains of envelope solitons in nonlinear left-handed transmission line media," Appl. Phys. Lett. 91, 254111-3 (2007). [CrossRef]
  23. M.W. Klein, M. Wegener, N. Feth, and S. Linden, "Experiments on second- and third-harmonic generation from magnetic metamaterials," Opt. Express 15, 5238-5247 (2007) [CrossRef] [PubMed]
  24. N. A. Zharova, I. V. Shadrivov, A. A. Zharov, and Yu. S. Kivshar, "Nonlinear transmission and spatiotemporal solitons in metamaterials with negative refraction," Opt. Express 13, 1291-1298 (2005). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited