OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 14 — Jul. 6, 2009
  • pp: 11328–11334

Optics InfoBase > Optics Express > Volume 17 > Issue 14 > Page 11328

Light bullets in Bessel optical lattices with spatially modulated nonlinearity

Fangwei Ye, Yaroslav V. Kartashov, Bambi Hu, and Lluis Torner  »View Author Affiliations


Optics Express, Vol. 17, Issue 14, pp. 11328-11334 (2009)
http://dx.doi.org/10.1364/OE.17.011328


View Full Text Article

Enhanced HTML    Acrobat PDF (1851 KB)


Advanced Search

Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We address the stability of light bullets supported by Bessel optical lattices with out-of-phase modulation of the linear and nonlinear refractive indices. We show that spatial modulation of the nonlinearity significantly modifies the shapes and stability domains of the light bullets. The addressed bullets can be stable, provided that the peak intensity does not exceed a critical value. We show that the width of the stability domain in terms of the propagation constant may be controlled by varying the nonlinearity modulation depth. In particular, we show that the maximum energy of the stable bullets grows with increasing nonlinearity modulation depth.

© 2009 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: April 15, 2009
Revised Manuscript: June 6, 2009
Manuscript Accepted: June 9, 2009
Published: June 22, 2009

Citation
Fangwei Ye, Yaroslav V. Kartashov, Bambi Hu, and Lluis Torner, "Light bullets in Bessel optical lattices with spatially modulated nonlinearity," Opt. Express 17, 11328-11334 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-14-11328


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. Y. Silberberg, "Collapse of optical pulses," Opt. Lett. 15, 1282(1990). [CrossRef] [PubMed]
  2. B. A. Malomed, D. Mihalache, F. Wise, and L. Torner, "Spatiotemporal optical solitons," J. Opt. B 7, R53 (2005). [CrossRef]
  3. D. E. Edmundson and R. H. Enns, "Robust bistable light bullets," Opt. Lett. 17, 586 (1992). [CrossRef] [PubMed]
  4. A. Desyatnikov, A. Maimistov, and B. Malomed, "Three-dimensional spinning solitons in dispersive media with the cubic-quintic nonlinearity," Phys. Rev. E 61, 3107 (2000). [CrossRef]
  5. D. Mihalache, D. Mazilu, L.-C. Crasovan, I. Towers, A. V. Buryak, B. A. Malomed, L. Torner, J. P. Torres, and F. Lederer, "Stable spinning optical solitons in three dimensions," Phys. Rev. Lett. 88, 073902 (2002). [CrossRef] [PubMed]
  6. P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, "Observation of temporal solitons in second-harmonic generation with titled pulses," Phys. Rev. Lett. 81, 570 (1998). [CrossRef]
  7. X. Liu, L. J. Qian, and F. W. Wise, "Generation of optical spatiotemporal solitons," Phys. Rev. Lett. 82, 4361 (1999). [CrossRef]
  8. O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, "Collapse arrest and soliton stabilization in nonlocal nonlinear media," Phys. Rev. E 66, 046619 (2002). [CrossRef]
  9. D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, "Three-dimensional spatiotemporal solitons in nonlocal nonlinear media," Phys. Rev. E 73, 025601 (2006). [CrossRef]
  10. L. Torner, S. Carrasco, J. P. Torres, L.-C. Crasovan, and D. Mihalache, "Tandem light bullets," Opt. Commun. 199, 277 (2001). [CrossRef]
  11. L. Torner and Y. V. Kartashov, "Light bullets in optical tandems," Opt. Lett. 34, 1129 (2009). [CrossRef] [PubMed]
  12. A. B. Aceves and C. De Angelis, "Spatiotemporal pulse dynamics in a periodic nonlinear waveguide," Opt. Lett. 18, 110 (1993). [CrossRef] [PubMed]
  13. A. B. Aceves, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, "Multidimensional solitons in fiber arrays," Opt. Lett. 19,329 (1994). [CrossRef] [PubMed]
  14. A. B. Aceves, G. G. Luther, C. De Angelis, A. M. Rubenchik, and S. K. Turitsyn, "Energy localization in nonlinear fiber arrays: Collapse-effect compressor," Phys. Rev. Lett. 75, 73 (1995). [CrossRef] [PubMed]
  15. B. B. Baizakov, B. A. Malomed, and M. Salerno, "Multidimensional solitons in a low-dimensional periodic potential," Phys. Rev. A 70, 053613 (2004). [CrossRef]
  16. D. Mihalache, D. Mazilu, F. Lederer, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, "Stable three-dimensional spatiotemporal solitons in a two-dimensional photonic lattice," Phys. Rev. E 70, 055603 (2004). [CrossRef]
  17. D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, "Stable spatiotemporal solitons in Bessel optical lattices," Phys. Rev. Lett. 95, 023902 (2005). [CrossRef] [PubMed]
  18. J. L. Roberts, N. R. Claussen, J. P. Burke, C. H. Greene, E. A. Cornell, and C. E. Wieman, "Resonant magnetic field control of elastic scattering in cold 85Rb," Phys. Rev. Lett. 81, 5109 (1998). [CrossRef]
  19. F. K. Fatemi, K. M. Jones and P. D. Lett, "Observation of optically induced Feshbach resonances in collisions of cold atoms," Phys. Rev. Lett. 85, 4462 (2000). [CrossRef] [PubMed]
  20. M. T. Primatarowa, K. T. Stoychev, and R. S. Kamburova, "Interaction of solitons with extended nonlinear defects," Phys. Rev. E 72, 036608 (2005). [CrossRef]
  21. F. Ye, Y. V. Kartashov, and L. Torner, "Asymmetric matter-wave solitons at nonlinear interfaces," Phys. Rev. A 74, 063616 (2006). [CrossRef]
  22. H. Sakaguchi and B. A. Malomed, "Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity," Phys. Rev. E 73, 026601 (2006). [CrossRef]
  23. H. Sakaguchi and B. A. Malomed, "Matter-wave solitons in nonlinear optical lattices," Phys. Rev. E 72, 046610 (2005). [CrossRef]
  24. Y. V. Bludov and V. V. Konotop, "Localized modes in arrays of boson-fermion mixtures," Phys. Rev. A 74, 043616 (2006). [CrossRef]
  25. A. Fuerbach, P. Steinvurzel, J. A. Bolger, A. Nulsen, and B. J. Eggleton, "Nonlinear propagation effects in antiresonant high-index inclusion photonic crystal fibers," Opt. Lett. 30, 830 (2005). [CrossRef] [PubMed]
  26. R. Zhang, J. Telpel, and H. Glessen, "Theoretical design of a liquid-core photonic crystal fiber for supercontinuum generation," Opt. Express 14, 6800 (2006). [CrossRef] [PubMed]
  27. C. R. Rosberg, F. H. Bennet, D. N. Neshev, P. D. Rasmussen, O. Bang, W. Krolikowski, A. Bjarklev, and Y. S. Kivshar, "Tunable diffraction and self-defocusing in liquid-filled photonic crystal fibers," Opt. Express 15, 12145 (2007). [CrossRef] [PubMed]
  28. P. D. Rasmussen, F. H. Bennet, D. N. Neshev, A. A. Sukhorukov, C. R. Rosberg, W. Krolikowski, O. Bang, and Y. Kivshar, "Observation of two-dimensional nonlocal gap solitons," Opt. Lett. 34, 295 (2009). [CrossRef] [PubMed]
  29. F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314 (2005). [CrossRef] [PubMed]
  30. A. Zoubir, M. Richardson, L. Canioni, A. Brocas, and L. Sarger, "Optical properties of infrared femtosecond laser modified fused silica and application to waveguide fabrication," J. Opt. Soc. Am. B 22, 2138 (2005). [CrossRef]
  31. D. Blömer, A. Szameit, F. Dreisow, T. Schreiber, S. Nolte, and A. Tünnermann, "Nonlinear refractive index of fs-laser-written waveguides in fused silica," Opt. Express 14, 2151 (2006). [CrossRef] [PubMed]
  32. M. Öster, M. Johansson, and A. Eriksson, "Enhanced mobility of strongly localized modes in waveguide arrays by inversion of stability," Phys. Rev. E 67, 056606 (2003). [CrossRef]
  33. J. Belmonte-Beitia, V. M. Perez-Garcia, V. Vekslerchik, and P. J. Torres, "Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities," Phys. Rev. Lett. 98, 064102 (2007). [CrossRef] [PubMed]
  34. F. Abdullaev, A. Abdumalikov, and R. Galimzyanov, "Gap solitons in Bose-Einstein condensates in linear and nonlinear optical lattices," Phys. Lett. A 367, 149 (2007). [CrossRef]
  35. Z. Rapti, P. G. Kevrekidis, V. V. Konotop, and C. K. R. T. Jones, "Solitary waves under the competition of linear and nonlinear periodic potentials," J. Phys. A 40, 14151 (2007). [CrossRef]
  36. F. K. Abdullaev, Y. V. Bludov, S. V. Dmitriev, P. G. Kevrekidis, and V. V. Konotop, "Generalized neighbor-interaction models induced by nonlinear lattices," Phys. Rev. E 77, 016604 (2008). [CrossRef]
  37. Y. Kominis and K. Hizanidis, "Power dependent soliton location and stability in complex photonic structures," Opt. Express 16, 12124 (2008). [CrossRef] [PubMed]
  38. K. Hizanidis, Y. Kominis, and N. K. Efremidis, "Interlaced linear-nonlinear optical waveguide arrays," Opt. Express 16, 18296 (2008). [CrossRef] [PubMed]
  39. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity," Opt. Lett. 33, 1747 (2008). [CrossRef] [PubMed]
  40. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index," Opt. Lett. 33, 2173 (2008). [CrossRef] [PubMed]
  41. T. Mayteevarunyoo and B. A. Malomed, "Solitons in one-dimensional photonic crystals," J. Opt. Soc. Am. B 25, 1854 (2008). [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.

Figures

Fig. 1. Fig. 2. Fig. 3.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited