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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 10 — May. 10, 2010
  • pp: 10120–10126

Diabolical point and conical-like diffraction in periodic plasmonic nanostructures

Sung Hyun Nam, Antoinette J. Taylor, and Anatoly Efimov  »View Author Affiliations

Optics Express, Vol. 18, Issue 10, pp. 10120-10126 (2010)

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We present the formation of a singular (diabolical) point in k-space from a periodic metal-dielectric waveguide array. The singularity originates from the balance between alternating normal and anomalous coupling. We numerically demonstrate a strong diffraction anomaly (conical-like diffraction) near the singular point. We also show the evolution of the diffraction pattern with band deformation. The resultant peculiar propagation dynamics of surface plasmon polaritons could provide a new toolset for manipulating light on the nano-scale.

© 2010 OSA

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(240.6680) Optics at surfaces : Surface plasmons
(240.7040) Optics at surfaces : Tunneling

ToC Category:
Optics at Surfaces

Original Manuscript: March 2, 2010
Revised Manuscript: April 22, 2010
Manuscript Accepted: April 22, 2010
Published: April 29, 2010

Sung Hyun Nam, Antoinette J. Taylor, and Anatoly Efimov, "Diabolical point and conical-like diffraction in periodic plasmonic nanostructures," Opt. Express 18, 10120-10126 (2010)

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  1. M. Berry, “Making waves in physics. Three wave singularities from the miraculous 1830s,” Nature 403(6765), 21 (2000). [CrossRef] [PubMed]
  2. M. V. Berry and M. R. Jeffrey, “Conical diffraction: Hamilton's diabolical point at the heart of crystal optics,” in Progress in Optics 50, E. Wolf, ed., (Elsevier B. V, 2007), pp. 13–50.
  3. D. R. Yarkony, “Diabolical Conical Intersections,” Rev. Mod. Phys. 68(4), 985–1013 (1996). [CrossRef]
  4. A. K. Geim and K. S. Novoselov, “The rise of graphene,” Nat. Mater. 6(3), 183–191 (2007). [CrossRef] [PubMed]
  5. O. Peleg, G. Bartal, B. Freedman, O. Manela, M. Segev, and D. N. Christodoulides, “Conical diffraction and gap solitons in honeycomb photonic lattices,” Phys. Rev. Lett. 98(10), 103901 (2007). [CrossRef] [PubMed]
  6. F. J. Garcia de Abajo, “Colloquium: Light scattering by particle and hole arrays,” Rev. Mod. Phys. 79(4), 1267–1290 (2007). [CrossRef]
  7. X. Fan, G. P. Wang, J. C. W. Lee, and C. T. Chan, “All-angle broadband negative refraction of metal waveguide arrays in the visible range: theoretical analysis and numerical demonstration,” Phys. Rev. Lett. 97(7), 073901 (2006). [CrossRef] [PubMed]
  8. Y. Liu, G. Bartal, D. A. Genov, and X. Zhang, “Subwavelength discrete solitons in nonlinear metamaterials,” Phys. Rev. Lett. 99(15), 153901 (2007). [CrossRef] [PubMed]
  9. L. Verslegers, P. B. Catrysse, Z. Yu, and S. Fan, “Deep-subwavelength focusing and steering of light in an aperiodic metallic waveguide array,” Phys. Rev. Lett. 103(3), 033902 (2009). [CrossRef] [PubMed]
  10. G. Bartal, G. Lerosey, and X. Zhang, “Subwavelength dynamic focusing in plasmonic nanostructures using time reversal,” Phys. Rev. B 79(20), 201103 (2009). [CrossRef]
  11. A. A. Sukhorukov and Y. S. Kivshar, “Discrete gap solitons in modulated waveguide arrays,” Opt. Lett. 27(23), 2112–2114 (2002). [CrossRef]
  12. M. V. Berry and M. Wilkinson, “F. R. S, and M. Wilkinson, “Diabolic points in the spectra of triangles,” Proc. R. Soc. Lond. A Math. Phys. Sci. 392(1802), 15–43 (1984). [CrossRef]
  13. T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88(9), 093901 (2002). [CrossRef] [PubMed]
  14. A. Locatelli, M. Conforti, D. Modotto, and C. De Angelis, “Diffraction engineering in arrays of photonic crystal waveguides,” Opt. Lett. 30(21), 2894–2896 (2005). [CrossRef] [PubMed]
  15. R. F. Oulton, V. J. Sorger, D. A. Genov, D. F. P. Pile, and X. Zhang, “A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation,” Nat. Photonics 2(8), 496–500 (2008). [CrossRef]
  16. εAu=ε∞−ωp2/ω(ω+iγc)whereε∞=10, ωp=1.4×1016, and γc=1.1×1014.
  17. K. Nomura and A. H. MacDonald, “Quantum transport of massless Dirac fermions,” Phys. Rev. Lett. 98(7), 076602 (2007). [CrossRef] [PubMed]
  18. O. Bahat-Treidel, O. Peleg, and M. Segev, “Symmetry breaking in honeycomb photonic lattices,” Opt. Lett. 33(19), 2251–2253 (2008). [CrossRef] [PubMed]

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