OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 4 — Feb. 21, 2005
  • pp: 1291–1298

Nonlinear transmission and spatiotemporal solitons in metamaterials with negative refraction

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

Optics Express, Vol. 13, Issue 4, pp. 1291-1298 (2005)

View Full Text Article

Enhanced HTML    Acrobat PDF (1451 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study one- and two-dimensional transmission of electromagnetic waves through a finite slab of a dielectric material with negative refraction. In the case when the dielectric slab possesses an intensity-dependent nonlinear response, we observe the nonlinearity-induced wave transmission through an opaque slab accompanied by the generation of spatiotemporal solitons. We solve this problem numerically, by employing the finite-difference time-domain simulations, for the parameters of microstructured materials with the negative refractive index in the microwave region, but our results can be useful for a design of nonlinear metamaterials with the left-handed properties in other frequency range.

© 2005 Optical Society of America

OCIS Codes
(190.1450) Nonlinear optics : Bistability
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Research Papers

Original Manuscript: January 21, 2005
Revised Manuscript: January 20, 2005
Published: February 21, 2005

Ilya Shadrivov, Nina Zharova, Alexander Zharov, and Yuri Kivshar, "Nonlinear transmission and spatiotemporal solitons in metamaterials with negative refraction," Opt. Express 13, 1291-1298 (2005)

Sort:  Journal  |  Reset  


  1. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76, 4773–4776 (1996). [CrossRef] [PubMed]
  2. J. B. Pendry, A. J. Holden, D. J. Robbins, andW. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47, 2075–2084 (1999). [CrossRef]
  3. P. Markos and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622–8 (2002). [CrossRef]
  4. P. Markos and C. M. Soukoulis, “Transmission studies of left-handed materials,” Phys. Rev. B 65, 033401–4 (2002). [CrossRef]
  5. 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]
  6. M. Bayindir, K. Aydin, E. Ozbay, P. Markos, and C. M. Soukoulis, “Transmission properties of composite metamaterials in free space,” Appl. Phys. Lett. 81, 120–122 (2002). [CrossRef]
  7. C. G. Parazzoli, R. B. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, “Experimental verification and simulation of negative index of refraction using Snell’s law,” Phys. Rev. Lett. 90, 107401–4 (2003). [CrossRef] [PubMed]
  8. V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of epsilon and mu,” Usp. Fiz. Nauk 92, 517–526 (1967) (in Russian) [English translation: Phys. Usp. 10, 509 (1968)]. [CrossRef]
  9. T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004). [CrossRef] [PubMed]
  10. V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, “Plasmon modes and negative refraction in metal nanowire composites,” Opt. Express 11, 735–745 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-7-735 [CrossRef] [PubMed]
  11. 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]
  12. S. O’Brien, D. McPeake, S. A. Ramakrishna, and J. B. Pendry, “Near-infrared photonic band gaps and nonlinear effects in negative magnetic metamaterials,” Phys. Rev. B 69, 241101(R) (2004).
  13. 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]
  14. 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]
  15. 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]
  16. I. V. Shadrivov, N. A. Zharova, A. A. Zharov, and Yu. S. Kivshar, “Defect modes and transmission properties of left-handed bandgap structures,” Phys. Rev. E 70, 046615–6 (2004). [CrossRef]
  17. M. Born and E.Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, seventh ed. (Cambridge University Press, UK, 2002). [PubMed]
  18. A. A. Zharov and A. K. Kotov, “Nonlinear matching of electromagnetic waves with a plane plasma slab,” Fiz. Plazmy 10, 615–618 (1984).
  19. A. V. Kochetov and A. M. Feigin, “Bleaching of dense plasma by an intense TM wave,” Fiz. Plazmy 14, 716–726 (1988).
  20. For an overview of optical solitons, see Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).

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.

Supplementary Material

» Media 1: GIF (1250 KB)     
» Media 2: GIF (1828 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited