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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 22 — Oct. 26, 2009
  • pp: 20063–20068

Quadratic phase matching in nonlinear plasmonic nanoscale waveguides

Arthur R. Davoyan, Ilya V. Shadrivov, and Yuri S. Kivshar  »View Author Affiliations

Optics Express, Vol. 17, Issue 22, pp. 20063-20068 (2009)

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We analyze phase matching in metal-dielectric nonlinear structures which support highly localized plasmon polariton modes. We reveal that quadratic phase matching between the plasmon modes of different symmetries becomes possible in planar waveguide geometries. We discuss the example of a nonlinear LiNbO3 waveguide sandwiched between two silver plates, and demonstrate that second-harmonic generation can be achieved for interacting plasmonic modes.

© 2009 Optical Society of America

OCIS Codes
(190.4350) Nonlinear optics : Nonlinear optics at surfaces
(240.6680) Optics at surfaces : Surface plasmons

ToC Category:
Nonlinear Optics

Original Manuscript: July 8, 2009
Revised Manuscript: October 13, 2009
Manuscript Accepted: October 18, 2009
Published: October 20, 2009

Arthur R. Davoyan, Ilya V. Shadrivov, and Yuri S. Kivshar, "Quadratic phase matching in nonlinear plasmonic nanoscale waveguides," Opt. Express 17, 20063-20068 (2009)

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  1. A. D. Boardman, L. Pavlov, and S. Tanev, eds., Advanced Photonics with Second-order Optically Nonlinear Processes (Kluwer Academic, Dordretch, The Netherlands, 1998). [CrossRef]
  2. R. W. Boyd, Nonlinear Optics (Elsevier Science, USA 2003).
  3. A. Di Falco, C. Conti, and G. Assanto "Quadratic phase matching in slot waveguides," Opt. Lett. 31,3146-3148 (2006). [CrossRef] [PubMed]
  4. H. Ishikawa and T. Kondo "Birefringent Phase matching in thin rectangular high-index-contrast waveguides," Appl. Phys. Express 2, 042202 (2009). [CrossRef]
  5. S. A. Maier, Plasmonics: Fundamentals and Applications (Springer-Verlag, Berlin 2007).
  6. E. N. Economou, "Surface plasmons in thin films," Phys. Rev. 182, 539-554 (1969). [CrossRef]
  7. J. J. Burke, G. I Stegeman, and T. Tamir, "Surface-polariton-like waves guided by thin, lossy metal films," Phys. Rev. B 33, 5186-5201 (1986). [CrossRef]
  8. B. Prade, J. Y. Vinet, and A. Mysyrowicz, "Guided optical waves in planar heterostructures with negative dielectric constant," Phys. Rev. B 44,13556-13572 (1991). [CrossRef]
  9. J. A. Dionne, L. A. Sweatlock, H. A. Atwater, and A. Polman, "Plasmon slot waveguides: Towards chip-scale propagation with subwavelength-scale localkization," Phys. Rev. B 73, 035407 (2006). [CrossRef]
  10. Y. Satuby and M. Orenstein, "Surface plasmon polariton waveguides: From multimode stripe to a slot geometry," Appl. Phys. Lett. 90, 251104 (2007). [CrossRef]
  11. N.-N. Feng and L. Dal Negro, "Plasmon mode transformation in modulated-index metal-dielectric slot waveguides," Opt. Lett. 32, 3086-3088 (2007). [CrossRef] [PubMed]
  12. P. Neutens, P. Van Dorpe, I. De Vlaminck, L. Lagae, and G. Borghs, "Electrical detection of confined gap plasmons in metalinsulatormetal waveguides," Nat. Photonics 3, 283-286 (2009). [CrossRef]
  13. J. C. Quail and H. J. Simon "Second-harmonic generation with phase-matched long-range and short range surface plasmon polaritons," J. Appl. Phys. 56, 2589-2591 (1984). [CrossRef]
  14. G. I. Stegeman, J. J. Burke, and D. G. Hall "Nonlinear optics of long range surface plasmons," Appl. Phys. Lett. 41, 906-908 (1982). [CrossRef]
  15. P. B. Johnson and R. W. Christy, "Optical constants of nobel metals," Phys. Rev. B 6, 4370-4379 (1972). [CrossRef]
  16. R. S. Weis and T. K. Gaylord, "Lithium Niobate: Summary of physical properties and crystal structure," Appl. Phys. A 37, 191-203 (1985). [CrossRef]
  17. A. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, "Nonlinear plasmonic slot waveguides," Opt. Express 16, 21209-21214 (2008). [CrossRef] [PubMed]
  18. A. R. Davoyan, I. V. Shadrivov, and Yu. S. Kivshar, "Nonlinear plasmonic slot waveguides: erratum," Opt. Express 17, 4833 (2009). [CrossRef]
  19. Z. Ruan, G. Veronis, K. L. Vodopyanov, M. M. Fejer, and S. Fan, "Enhancement of optics-to-THz conversion efficiency by metallic slot waveguides", Opt. Express 17, 13502-13515 (2009). [CrossRef] [PubMed]

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