OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 8 — Aug. 1, 2012
  • pp: 2161–2165

Nonlinear light localization around the core of a holey fiber

Francis H. Bennet and Mario I. Molina  »View Author Affiliations

JOSA B, Vol. 29, Issue 8, pp. 2161-2165 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (1032 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We examine localized surface modes in the core of a photonic crystal fiber composed of a finite nonlinear (Kerr) hexagonal waveguide array containing a topological defect in the form of a central void. Using the coupled-modes approach, we find the fundamental surface mode and the staggered and unstaggered ring-shaped modes, and their linear stability windows, for two void diameters. We find that, for a small void diameter, the unstable unstaggered ring mode of the system always requires less power and its instability gain at low powers is smaller than in the case without the void. Also, for the small void case, the unstaggered ring mode does not require a minimum power threshold, in sharp contrast with the case without the void. For a larger void, most of these observations hold, as well. We follow numerically the dynamical evolution of these ring modes to reveal their decay channels at long propagation distances.

© 2012 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in

ToC Category:
Nonlinear Optics

Original Manuscript: January 18, 2012
Revised Manuscript: June 13, 2012
Manuscript Accepted: June 26, 2012
Published: July 27, 2012

Francis H. Bennet and Mario I. Molina, "Nonlinear light localization around the core of a holey fiber," J. Opt. Soc. Am. B 29, 2161-2165 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University, 2008).
  2. S. John, Localization of Light and the Photonic Band Gap Concept (Springer Verlag, 2005).
  3. P. St. J. Russell, “Photonic-crystal fibers,” J. Lightwave Technol. 24, 4729–4749 (2006). [CrossRef]
  4. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals (Academic, 2003).
  5. E. Yablonovich, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987). [CrossRef]
  6. S. John, Phys. Rev. Lett. “Strong localization of photons in certain disordered dielectric superlattices,” 58, 2486–2489 (1987). [CrossRef]
  7. P. Lodahl, A. F. van Driel, I. S. Nikolaev, A. Irman, K. Overgaag, D. Vanmaekelbergh, and W. L. Vos, “Controlling the dynamics of spontaneous emission from quantum dots by photonic crystals,” Nature 430, 654–657 (2004). [CrossRef]
  8. S. D. Hart, G. R. Maskaly, B. Temelkuran, P. H. Prideaux, J. D. Joannopoulos, and Y. Fink, “External reflection from omnidirectional dielectric mirror fibers,” Science 296, 510–513 (2002). [CrossRef]
  9. P. J. Roberts, F. Couny, H. Sabert, B. J. Mangan, D. P. Williams, L. Farr, M. W. Mason, A. Tomlinson, T. A. Birks, J. C. Knight, and P. St. J. Russell, “Ultimate low loss of hollow-core photonic crystal fibres,” Opt. Express 13, 236–244 (2005). [CrossRef]
  10. D. K. Campbell, S. Flach, and Y. S. Kivshar, “Localizing energy through nonlinearity and discreteness,” Phys. Today 57(1), 43–49 (2004). [CrossRef]
  11. B. A. Malomed and P. G. Kevrekidis, “Discrete vortex solitons,” Phys. Rev. E 64, 026601 (2001). [CrossRef]
  12. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, Phys. Rev. Lett., “Observation of vortex-ring ‘discrete’ solitons in 2D photonic lattices,” 92, 123904 (2004). [CrossRef]
  13. R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett. 28, 834–836 (2003). [CrossRef]
  14. L. Morales-Molina and R. A. Vicencio, “Trapping of discrete solitons by defects in nonlinear waveguide arrays,” Opt. Lett. 31, 966–968 (2006). [CrossRef]
  15. M. I. Molina and Y. S. Kivshar, “Nonlinear localized modes at phase-slip defects in waveguide arrays,” Opt. Lett. 33, 917–919 (2008). [CrossRef]
  16. M. I. Molina, R. A. Vicencio, and Y. S. Kivshar, “Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays,” Opt. Lett. 31, 1693–1695 (2006). [CrossRef]
  17. A. Szameit, M. I. Molina, M. Heinrich, F. Dreisow, R. Keil, S. Nolte, and Y. S. Kivshar, “Observation of localized modes at phase slips in two-dimensional photonic lattices,” Opt. Lett. 35, 2738–2740 (2010). [CrossRef]
  18. S. John, “Electromagnetic absorption in a disordered medium near a photon mobility edge,” Phys. Rev. Lett. 53, 2169–2172 (1984); [CrossRef]
  19. V. D. Freilikher and S. A. Gredeskul, “III Localization of waves in media with one-dimensional disorder,” Prog. Opt. 30, 137–203 (1992). [CrossRef]
  20. D. S. Wiersma, P. Bartolini, A. Legendijk, and R. Righini, “Localization of light in a disordered medium,” Nature 390, 671–673 (1997). [CrossRef]
  21. T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007). [CrossRef]
  22. Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in one-dimensional disordered photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008). [CrossRef]
  23. M. I. Molina, “Boundary-induced Anderson localization in photonic lattices,” Phys. Lett. A 375, 2056–2058 (2011). [CrossRef]
  24. M. I. Molina, and Y. S. Kivshar, “Discrete and surface solitons in photonic graphene nanoribbons,” Opt. Lett. 35, 2895–2897(2010). [CrossRef]
  25. P. D. Rasmussen, F. H. Bennet, D. N. Neshev, A. A. Sukhorukov, C. R. Rosberg, W. Krolikowski, O. Bang, and Y. S. Kivshar, “Observation of two-dimensional nonlocal gap solitons,” Opt. Lett. 34, 295–297 (2009). [CrossRef]
  26. F. H. Bennet, I. A. Amuli, A. A. Sukhorukov, W. Krolikowski, D. N. Neshev, and Y. S. Kivshar, “Focusing-to-defocusing crossover in nonlinear periodic structures,” Opt. Lett. 35, 3213–3215(2010). [CrossRef]
  27. F. H. Bennet and J. Farnell, “Waveguide arrays in selectively infiltrated photonic crystal fibres,” Opt. Commun. 283, 4069–4073 (2010). [CrossRef]
  28. D. Wu, B. Kuhlmey, and B. Eggleton, “Ultrasensitive photonic crystal fiber refractive index sensor,” Opt. Lett. 34, 322–324 (2009). [CrossRef]
  29. M. Vieweg, T. Gissibl, S. Pricking, B. Kuhlmey, D. Wu, B. Eggleton, and H. Giessen, “Ultrafast nonlinear optofluidics in selectively liquid-filled photonic crystal fibers,” Opt. Express 18, 25232–25240 (2010). [CrossRef]
  30. M. I. Molina, R. A. Vicencio, and Y. S. Kivshar, “Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays,” Opt. Lett. 31, 1693–1695 (2006). [CrossRef]
  31. M. I. Molina and Y. S. Kivshar, “Nonlinear localized modes at phase slips in two-dimensional photonic lattices,” Phys. Rev. A 80, 063812 (2009). [CrossRef]

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  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited