OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 29, Iss. 12 — Dec. 1, 2012
  • pp: 3360–3366

Modulational instability of copropagating light beams induced by cubic–quintic nonlinearity in nonlinear negative-index material

Rama Gupta, Thokala Soloman Raju, Choragudi Nagaraja Kumar, and Prasanta K. Panigrahi  »View Author Affiliations


JOSA B, Vol. 29, Issue 12, pp. 3360-3366 (2012)
http://dx.doi.org/10.1364/JOSAB.29.003360


View Full Text Article

Enhanced HTML    Acrobat PDF (1548 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We study the modulational instability (MI) of the continuous wave propagating through negative-index materials, based on the coupled cubic–quintic nonlinear Schrödinger equations. A comparison is made with the already available results on MI without including the quintic term. We find that this term helps in achieving MI, in otherwise impossible combinations of dispersion and nonlinearity. For example, spatial MI can occur in the focusing regime, and temporal MI becomes possible in the anomalous dispersion for defocusing nonlinearity, while in the case of the normal dispersion regime, it occurs for focusing nonlinearity, and spatiotemporal MI can occur in the focusing nonlinearity and normal dispersion. Moreover, this additional term provides extra freedom to control the amplitude of the MI gain profile.

© 2012 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.3100) Nonlinear optics : Instabilities and chaos
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(260.2030) Physical optics : Dispersion

ToC Category:
Nonlinear Optics

History
Original Manuscript: June 14, 2012
Revised Manuscript: August 21, 2012
Manuscript Accepted: September 17, 2012
Published: November 21, 2012

Citation
Rama Gupta, Thokala Soloman Raju, Choragudi Nagaraja Kumar, and Prasanta K. Panigrahi, "Modulational instability of copropagating light beams induced by cubic–quintic nonlinearity in nonlinear negative-index material," J. Opt. Soc. Am. B 29, 3360-3366 (2012)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-29-12-3360


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. 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]
  2. R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001). [CrossRef]
  3. V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ϵ and μ,” Sov. Phys. Usp. 10, 509–514 (1968). [CrossRef]
  4. M. Scalora, M. S. Syrchin, N. Akozbek, E. Y. Poliakov, G. D’Aguanno, N. Mattiucci, M. J. Bloemer, and A. M. Zheltikov, “Generalized nonlinear Schrödinger equation for dispersive susceptibility and permeability: application to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005). [CrossRef]
  5. S. Wen, Y. Xiang, W. Su, Y. Hu, X. Fu, and D. Fan, “Role of the anomalous self-steepening effect on modulational instability in negative-index material,” Opt. Express 14, 1568–1575(2006). [CrossRef]
  6. N. L. Tsitsas, N. Rompotis, I. Kourakis, P. G. Kevrekidis, and D. J. Frantzeskakis, “Higher-order effects and ultrashort solitons in left-handed metamaterials,” Phys. Rev. E 79, 037601 (2009). [CrossRef]
  7. A. K. Sarma, “Solitary waves in a negative index material with dispersive permittivity and permeability,” Eur. Phys. J. D 62, 421–424 (2011). [CrossRef]
  8. G. P. Agrawal, Nonlinear Fiber Optics, 4th ed. (Academic, 2007).
  9. A. Joseph, K. Porsezian, and P. T. Dinda, “Modulational instability scenario in negative index materials,” J. Mod. Opt. 57, 436–443 (2010). [CrossRef]
  10. Y. Xiang, X. Dai, S. Wen, and D. Fan, “Modulational instability in metameterials with saturable nonlinearity,” J. Opt. Soc. Am. B 28, 908–916 (2011). [CrossRef]
  11. Y. Xiang, S. Wen, X. Dai, and D. Fan, “Modulational instability in nonlinear oppositely directed coupler with a negative-index metameterial channel,” Phys. Rev. E 82, 056605 (2010). [CrossRef]
  12. Y. Xiang, X. Dai, S. Wen, J. Guo, and D. Fan, “Modulational instability induced by nonlinear dispersion in nonlinear metamaterials,” J. Opt. Soc. Am. B 24, 3058–3063 (2007). [CrossRef]
  13. W. Zhou, W. Su, X. Cheng, Y. Xiang, X. Dai, and S. Wen, “Copropagation of two pulses of different frequencies and modulational instabilities induced by cross-phase modulation in metameterials,” Opt. Commun. 282, 1440–1447 (2009). [CrossRef]
  14. X. Dai, Y. Xiang, S. Wen, and D. Fan, “Modulational instability of copropagating light beams in nonlinear metameterials,” J. Opt. Soc. Am. B 26, 564–571 (2009). [CrossRef]
  15. A. K. Sarma and P. Kumar, “Modulation instability of ultrashort pulses in quadratic nonlinear media beyond the slowly varying envelope approximation,” Appl. Phys. B 106, 289–293 (2012). [CrossRef]
  16. S. Wen, Y. Xiang, W. Su, Y. Hu, X. Fu, and D. Fan, “Modulation instability in nonlinear negative-index material,” Phys. Rev. E 73, 036617 (2006). [CrossRef]
  17. I. Kourakis and P. K. Shukla, “Nonlinear propagation of electromagnetic waves in negative-refraction-index composite materials,” Phys. Rev. E 72, 016626 (2005). [CrossRef]
  18. A. K. Sarma and M. Saha, “Modulational instability of coupled nonlinear field equations for pulse propagation in a negative index material embedded into a Kerr medium,” J. Opt. Soc. Am. B 28, 944–948 (2011). [CrossRef]
  19. N. Lazarides and G. P. Tsironis, “Coupled nonlinear Schrödinger field equations for electromagnetic wave propagation in nonlinear left-handed materials,” Phys. Rev. E 71, 036614 (2005). [CrossRef]
  20. S. Wen, Y. Xiang, X. Dai, Z. Tang, W. Su, and D. Fan, “Theoretical models for ultrashort electromagnetic pulse propagation in nonlinear metamaterials,” Phys. Rev. A 75, 033815 (2007). [CrossRef]

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited