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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 3 — Feb. 1, 2014
  • pp: 462–465

Nonlinear coupled-mode theory for periodic plasmonic waveguides and metamaterials with loss and gain

Andrey A. Sukhorukov, Alexander S. Solntsev, Sergey S. Kruk, Dragomir N. Neshev, and Yuri S. Kivshar  »View Author Affiliations


Optics Letters, Vol. 39, Issue 3, pp. 462-465 (2014)
http://dx.doi.org/10.1364/OL.39.000462


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Abstract

We derive general coupled-mode equations describing the nonlinear interaction of electromagnetic modes in periodic media with loss and gain. Our approach is rigorously based on the Lorentz reciprocity theorem, and it can be applied to a broad range of metal–dielectric photonic structures, including plasmonic waveguides and metamaterials. We verify that our general results agree with the previous analysis of particular cases, and predict novel effects on self- and cross-phase modulation in multilayer nonlinear fishnet metamaterials.

© 2014 Optical Society of America

OCIS Codes
(190.5940) Nonlinear optics : Self-action effects
(240.6680) Optics at surfaces : Surface plasmons
(160.3918) Materials : Metamaterials
(190.4223) Nonlinear optics : Nonlinear wave mixing

ToC Category:
Nonlinear Optics

History
Original Manuscript: July 16, 2013
Revised Manuscript: November 12, 2013
Manuscript Accepted: December 11, 2013
Published: January 20, 2014

Citation
Andrey A. Sukhorukov, Alexander S. Solntsev, Sergey S. Kruk, Dragomir N. Neshev, and Yuri S. Kivshar, "Nonlinear coupled-mode theory for periodic plasmonic waveguides and metamaterials with loss and gain," Opt. Lett. 39, 462-465 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-3-462


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References

  1. C. Denz, S. Flach, and Y. S. Kivshar, eds., Nonlinearities in Periodic Structures and Metamaterials, Vol. 150 (Springer-Verlag, 2009).
  2. I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, J. Opt. Soc. Am. B 23, 529 (2006). [CrossRef]
  3. A. I. Maimistov and I. R. Gabitov, Eur. J. Phys. Special Topics 147, 265 (2007). [CrossRef]
  4. A. K. Popov, S. A. Myslivets, and V. M. Shalaev, Physica B 405, 2999 (2010). [CrossRef]
  5. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, 1983).
  6. D. Michaelis, U. Peschel, C. Wachter, and A. Brauer, Phys. Rev. E 68, 065601 (2003). [CrossRef]
  7. R. Iliew, C. Etrich, T. Pertsch, and F. Lederer, Phys. Rev. B 77, 115124 (2008). [CrossRef]
  8. N. C. Panoiu, J. F. McMillan, and C. W. Wong, IEEE J. Sel. Top. Quantum Electron. 16, 257 (2010). [CrossRef]
  9. A. V. Shahraam and T. M. Monro, Opt. Express 17, 2298 (2009). [CrossRef]
  10. A. Rose, S. Larouche, E. Poutrina, and D. R. Smith, Phys. Rev. A 86, 033816 (2012). [CrossRef]
  11. G. Lecamp, J. P. Hugonin, and P. Lalanne, Opt. Express 15, 11042 (2007). [CrossRef]
  12. E. Feigenbaum and M. Orenstein, Opt. Lett. 32, 674 (2007). [CrossRef]
  13. A. R. Davoyan, I. V. Shadrivov, and Y. S. Kivshar, Opt. Express 17, 21732 (2009). [CrossRef]
  14. A. Marini and D. V. Skryabin, Phys. Rev. A 81, 033850 (2010). [CrossRef]
  15. A. Marini, R. Hartley, A. V. Gorbach, and D. V. Skryabin, Phys. Rev. A 84, 063839 (2011). [CrossRef]
  16. Z. C. Ruan, G. Veronis, K. L. Vodopyanov, M. M. Fejer, and S. F. Fan, Opt. Express 17, 13502 (2009). [CrossRef]
  17. P. Y. Chen, R. C. McPhedran, C. M. de Sterke, C. G. Poulton, A. A. Asatryan, L. C. Botten, and M. J. Steel, Phys. Rev. A 82, 053825 (2010). [CrossRef]
  18. A. Andryieuski, S. Ha, A. A. Sukhorukov, Y. S. Kivshar, and A. V. Lavrinenko, Phys. Rev. B 86, 035127 (2012). [CrossRef]
  19. R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008), Sec. 4.2.
  20. J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008). [CrossRef]
  21. R. Todorov, D. Tsankov, J. Pirov, and K. Petkov, J. Phys. D 44, 305401 (2011). [CrossRef]
  22. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972). [CrossRef]
  23. G. K. M. Thutupalli and S. G. Tomlin, J. Phys. C 10, 467 (1977). [CrossRef]
  24. D. R. Smith, S. Schultz, P. Markos, and C. M. Soukoulis, Phys. Rev. B 65, 195104 (2002). [CrossRef]
  25. M. Soljacic and J. D. Joannopoulos, Nat. Mater. 3, 211 (2004). [CrossRef]
  26. H. Suchowski, K. O’Brien, Z. J. Wong, A. Salandrino, X. Yin, and X. Zhang, Science 342, 1223 (2013).

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