OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 4 — Apr. 1, 2013
  • pp: 1077–1084

Optical pulse dynamics in active metamaterials with positive and negative refractive index

Alexander O. Korotkevich, Kathryn E. Rasmussen, Gregor Kovačič, Victor Roytburd, Andrei I. Maimistov, and Ildar R. Gabitov  »View Author Affiliations


JOSA B, Vol. 30, Issue 4, pp. 1077-1084 (2013)
http://dx.doi.org/10.1364/JOSAB.30.001077


View Full Text Article

Enhanced HTML    Acrobat PDF (588 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 numerically the propagation of two-color light pulses through a metamaterial doped with active atoms such that the carrier frequencies of the pulses are in resonance with two atomic transitions in the Λ configuration and that one color propagates in the regime of positive refraction and the other in the regime of negative refraction. In such a metamaterial, one resonant color of light propagates with positive and the other with negative group velocity. We investigate nonlinear interaction of these forward- and backward-propagating waves and find self-trapped waves, counterpropagating radiation waves, and hot spots of medium excitation.

© 2013 Optical Society of America

OCIS Codes
(020.1670) Atomic and molecular physics : Coherent optical effects
(160.4330) Materials : Nonlinear optical materials
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(260.5740) Physical optics : Resonance
(160.3918) Materials : Metamaterials
(190.4223) Nonlinear optics : Nonlinear wave mixing

ToC Category:
Nonlinear Optics

History
Original Manuscript: February 1, 2013
Manuscript Accepted: February 18, 2013
Published: March 29, 2013

Citation
Alexander O. Korotkevich, Kathryn E. Rasmussen, Gregor Kovačič, Victor Roytburd, Andrei I. Maimistov, and Ildar R. Gabitov, "Optical pulse dynamics in active metamaterials with positive and negative refractive index," J. Opt. Soc. Am. B 30, 1077-1084 (2013)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-4-1077


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. F. Bilotti and L. Sevgi, “Metamaterials: definitions, properties, applications, and FDTD-based modeling and simulation (invited paper),” Int. J. RF Microwave Computer-Aided Eng. 22, 422–438 (2012). [CrossRef]
  2. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006). [CrossRef]
  3. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photonics 1, 224–227 (2007). [CrossRef]
  4. N. I. Zheludev and Y. S. Kivshar, “From metamaterials to metadevices,” Nat. Mater. 11, 917–924 (2012). [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]
  6. R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001). [CrossRef]
  7. D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index,” Science 305, 788–792 (2004). [CrossRef]
  8. V. M. Shalaev, W. Cai, U. K. Chettiar, H. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005). [CrossRef]
  9. S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Demonstration of near-infrared negative-index materials,” Phys. Rev. Lett. 95, 137404 (2005). [CrossRef]
  10. V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1, 41–47 (2007). [CrossRef]
  11. V. G. Veselago, “Electrodynamics of substances with simultaneously negative values of sigma and mu,” Sov. Phys. Usp. 10, 509–514 (1968). [CrossRef]
  12. J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett 85, 3966–3969 (2000). [CrossRef]
  13. V. A. Podolskiy and E. E. Narimanov, “Near-sighted superlens,” Opt. Lett. 30, 75–77 (2005). [CrossRef]
  14. J. Lu, T. M. Grzegorczyk, Y. Zhang, J. Pacheco, B.-I. Wu, J. A. Kong, and M. Chen, “Čerenkov radiation in materials with negative permittivity and permeability,” Opt. Express 11, 723–734 (2003). [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 (2004).
  16. L. I. Mandelshtam, “Group velocity in crystalline arrays,” Zh. Eksp. Teor. Fiz. 15, 475–478 (1945).
  17. V. G. Veselago, “Properties of materials having simultaneously negative values of dielectric (ξ) and magnetic (μ) susceptibilities,” Sov. Phys. Solid State 8, 2854 (1967).
  18. A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, “Nonlinear properties of left-handed metamaterials,” Phys. Rev. Lett. 91, 037401 (2003). [CrossRef]
  19. M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005). [CrossRef]
  20. N. Lazarides, and G. P. Tsironis, “Coupled nonlinear Schrodinger field equations for electromagnetic wave propagation in nonlinear left-handed materials,” Phys. Rev. E 71, 036614 (2005). [CrossRef]
  21. A. K. Popov and V. M. Shalaev, “Negative-index metamaterials: second-harmonic generation, Manley–Rowe relations and parametric amplification,” Appl. Phys. B 84, 131–137 (2006). [CrossRef]
  22. I. R. Gabitov, R. Indik, N. M. Litchinitser, A. I. Maimistov, V. M. Shalaev, and J. Soneson, “Double-resonant optical materials with embedded metal nanostructures,” J. Opt. Soc. Am. B 23, 535–542 (2006). [CrossRef]
  23. N. M. Litchinitser, I. R. Gabitov, A. I. Maimistov, and V. M. Shalaev, “Effect of an optical negative index thin film on optical bistability,” Opt. Lett. 32, 151–153 (2007). [CrossRef]
  24. N. M. Litchinitser, I. R. Gabitov, and A. I. Maimistov, “Optical bistability in a nonlinear optical coupler with a negative index channel,” Phys. Rev. Lett. 99, 113902 (2007). [CrossRef]
  25. A. I. Maimistov and I. R. Gabitov, “Nonlinear optical effects in artificial materials,” Eur. Phys. J. Spec. Top. 147, 265–286 (2007). [CrossRef]
  26. I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004). [CrossRef]
  27. I. R. Gabitov, A. I. Maimistov, A. Korotkevich, and J. B. McMahon, “Solitary waves in plasmonic Bragg gratings,” Appl. Phys. A 89, 277–281 (2007). [CrossRef]
  28. M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981). [CrossRef]
  29. J. B. Pendry, “A chiral route to negative refraction,” Science 306, 1353–1355 (2004). [CrossRef]
  30. T. G. Mackay and A. Lakhtakia, “Plane waves with negative phase velocity in Faraday chiral mediums,” Phys. Rev. E 69, 026602 (2004). [CrossRef]
  31. A. I. Maimistov, I. R. Gabitov, and E. V. Kazantseva, “Quadratic solitons in negative refractive index medium,” Opt. Spectrosc. 102, 90–97 (2007). [CrossRef]
  32. A. Maimistov, I. Gabitov, and N. Litchinitser, “Solitary waves in nonlinear oppositely directed coupler,” Opt. Spectrosc. 104, 253–257 (2008). [CrossRef]
  33. V. A. Podolskiy and E. E. Narimanov, “Strongly anisotropic waveguide as a nonmagnetic left-handed system,” Phys. Rev. B 71, 201101 (2005). [CrossRef]
  34. G. V. Naik, J. Liu, A. V. Kildishev, V. M. Shalaev, and A. Boltasseva, “Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials,” Proc. Nat. Acad. Sci. 109, 8834–8838 (2012).
  35. S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010). [CrossRef]
  36. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).
  37. R. W. Ziolkowski and E. Heyman, “Wave propagation in media having negative permittivity and permeability,” Phys. Rev. E 64, 056625 (2001). [CrossRef]
  38. I. R. Gabitov, B. Kennedy, and A. I. Maimistov, “Coherent amplification of optical pulses in metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 401–409 (2010). [CrossRef]
  39. L. Panina, A. N. Grigorenko, and D. P. Makhnovskiy, “Optomagnetic composite medium with conducting nanoelements,” Phys. Rev. B 66, 155411 (2002). [CrossRef]
  40. D. R. Smith and J. B. Pendry, “Homogenization of metamaterials by field averaging,” J. Opt. Soc. Am. 23, 391–403 (2006). [CrossRef]
  41. T. A. Klar, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, “Negative-index metamaterials: going optical,” IEEE J. Sel. Top. Quantum Electron. 12, 1106–1115 (2006). [CrossRef]
  42. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999). [CrossRef]
  43. P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002). [CrossRef]
  44. C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics (Wiley, 1977).
  45. A. I. Maimistov and Y. M. Sklyarov, “Coherent interaction of light pulses with a three-level medium,” Opt. Spectrosc. 59, 459–461 (1985).
  46. J. A. Byrne, I. R. Gabitov, and G. Kovačič, “Polarization switching of light interacting with a degenerate two-level optical medium,” Physica D 186, 69–92 (2003). [CrossRef]
  47. K. A. Newhall, “Three level atom interaction with external electric field,” (2007) (paper in preparation).

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

OSA is a member of CrossRef.

CrossCheck Deposited