Applied Physics B

, Volume 84, Issue 1–2, pp 131–137 | Cite as

Negative-index metamaterials: second-harmonic generation, Manley–Rowe relations and parametric amplification

  • A.K. Popov
  • V.M. ShalaevEmail author


Second harmonic generation and optical parametric amplification in negative-index metamaterials (NIMs) are studied. The opposite directions of the wave vector and the Poynting vector in NIMs results in a “backward” phase-matching condition, causing significant changes in the Manley–Rowe relations and spatial distributions of the coupled field intensities. It is shown that absorption in NIMs can be compensated by backward optical parametric amplification. The possibility of distributed-feedback parametric oscillation with no cavity has been demonstrated. The feasibility of the generation of entangled pairs of left- and right-handed counter-propagating photons is discussed.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    V.M. Shalaev, W. Cai, U. Chettiar, H.-K. Yuan, A.K. Sarychev, V.P. Drachev, A.V. Kildishev, Opt. Lett. 30, 3356 (2005)ADSCrossRefGoogle Scholar
  2. 2.
    S. Zhang, W. Fan, N.C. Panoiu, K.J. Malloy, R.M. Osgood, S.R.J. Brueck, Phys. Rev. Lett. 95, 137404 (2005)ADSCrossRefGoogle Scholar
  3. 3.
    A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, S. Anand, Phys. Rev. Lett. 93, 73902 (2004)ADSCrossRefGoogle Scholar
  4. 4.
    E. Schonbrun, M. Tinker, W. Park, J.-B. Lee, IEEE Photon. Technol. Lett. 17, 1196 (2005)ADSCrossRefGoogle Scholar
  5. 5.
    V.G. Veselago, Sov. Phys. Solid State 8, 2854 (1967)Google Scholar
  6. 6.
    V.G. Veselago, Usp. Fiz. Nauk 92, 517 (1967)CrossRefGoogle Scholar
  7. 7.
    S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, C.M. Soukoulis, Science 306, 1351 (2004)ADSCrossRefGoogle Scholar
  8. 8.
    Z. Zhang, W. Fan, B.K. Minhas, A. Frauenglass, K.J. Malloy, S.R.J. Brueck, Phys. Rev. Lett. 94, 037402 (2005)ADSCrossRefGoogle Scholar
  9. 9.
    A.N. Grigorenko, A.K. Geim, N.F. Gleeson, Y. Zhang, A.A. Firsov, I.Y. Khrushchev, J. Petrovic, Nature 438, 335 (2005)ADSCrossRefGoogle Scholar
  10. 10.
    M. Lapine, M. Gorkunov, K.H. Ringhofer, Phys. Rev. E 67, 065601 (2003)ADSCrossRefGoogle Scholar
  11. 11.
    A.A. Zharov, I.V. Shadrivov, Y.S. Kivshar, Phys. Rev. Lett. 91, 037401 (2003)ADSCrossRefGoogle Scholar
  12. 12.
    M. Lapine, M. Gorkunov, Phys. Rev. E 70, 66601 (2004)ADSCrossRefGoogle Scholar
  13. 13.
    N.A. Zharova, I.V. Shadrivov, A.A. Zharov, Y.S. Kivshar, Opt. Express 13, 1291 (2005)ADSCrossRefGoogle Scholar
  14. 14.
    V.M. Agranovich, Y.R. Shen, R.H. Baughman, A.A. Zakhidov, Phys. Rev. B 69, 165112 (2004)ADSCrossRefGoogle Scholar
  15. 15.
    A.A. Zharov, N.A. Zharova, Il.V. Shadrivov, Y.S. Kivshar, Appl. Phys. Lett. 87, 091104 (2005)ADSCrossRefGoogle Scholar
  16. 16.
    A.B. Kozyrev, H. Kim, A. Karbassi, D.W. van der Weide, Appl. Phys. Lett. 87, 121109 (2005)ADSCrossRefGoogle Scholar
  17. 17.
    I.V. Shadrivov, A.A. Zharov, Y.S. Kivshar, arXiv: physics/0506092 (2005)Google Scholar
  18. 18.
    S.E. Harris, Appl. Phys. Lett. 9, 114 (1966)ADSCrossRefGoogle Scholar
  19. 19.
    K.I. Volyak, A.S. Gorshkov, Radiotekhnika Elektronika (Radiotechnics Electronics) 18, 2075 (1973)Google Scholar
  20. 20.
    A. Yariv, Quantum Electronics, 2nd edn. (Wiley, New York, 1975)Google Scholar
  21. 21.
    J.M. Manley, H.E. Rowe, Proc. IRE 47, 2115 (1959)Google Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of Physics and Astronomy and Department of ChemistryUniversity of Wisconsin-Stevens PointStevens PointUSA
  2. 2.School of Electrical and Computer EngineeringPurdue UniversityWest LafayetteUSA

Personalised recommendations