OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 18 — Sep. 3, 2007
  • pp: 11185–11195

Induced modulation instability and recurrence in nematic liquid crystals

J. Beeckman, X. Hutsebaut, M. Haelterman, and K. Neyts  »View Author Affiliations


Optics Express, Vol. 15, Issue 18, pp. 11185-11195 (2007)
http://dx.doi.org/10.1364/OE.15.011185


View Full Text Article

Enhanced HTML    Acrobat PDF (1096 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We study induced modulation instability in a nematic liquid crystal cell. Two broad elliptical beams along one direction are launched into the cell. The two beams have slightly different angle in order to create a sinusoidally varying intensity at the entrance of the cell. In this way, the gain of perturbations with different spatial frequency is investigated. The evolution of the optical pattern, for certain conditions, shows a recurrence of the signal. We believe that this is the manifestation of the Fermi-Pasta- Ulam recurrence and to the best of our knowledge, the first experimental observation of this phenomenon in the spatial optical domain. Numerical simulations show a good agreement with the experimental findings.

© 2007 Optical Society of America

OCIS Codes
(160.3710) Materials : Liquid crystals
(190.0190) Nonlinear optics : Nonlinear optics
(260.5950) Physical optics : Self-focusing

ToC Category:
Materials

History
Original Manuscript: June 1, 2007
Revised Manuscript: August 13, 2007
Manuscript Accepted: August 14, 2007
Published: August 21, 2007

Citation
J. Beeckman, X. Hutsebaut, M. Haelterman, and K. Neyts, "Induced modulation instability and recurrence in nematic liquid crystals," Opt. Express 15, 11185-11195 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-18-11185


Sort:  Year  |  Journal  |  Reset  

References

  1. E. Fermi, J. Pasta, and S. Ulam, "Studies in Nonlinear Problems," in Collected Papers of Enrico Fermi, E. Segré, ed., (University of Chicago Press, 1955), Vol. 2, pp. 977-988.
  2. N. J. Zabusky and M. D. Kruskal, "Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States," Phys. Rev. Lett. 15, 240 - 243 (1965). [CrossRef]
  3. N. Akhmediev and V. Korneev, "Modulation instability and periodic solutions of the nonlinear Schrödinger equation," Theor. Math. Phys. 69, 1089-1093 (1986). [CrossRef]
  4. N. N. Akhmediev, D. R. Heatley, G. I. Stegeman, and E. M. Wright, "Pseudorecurrence in two-dimensional modulation instability with a saturable self-focusing nonlinearity," Phys. Rev. Lett. 65, 1423 - 1426 (1990). [CrossRef] [PubMed]
  5. M. Remoissenet, Waves Called Solitons (Springer-Verlag, Berlin, 1994).
  6. B. Lake, H. Yuen, H. Rungaldier, and W. Ferguson, "Nonlinear deep-waterwaves: Theory and Experiment. Part 2: Evolution of a Continuous Wave Train," J. Fluid. Mech. 83, 49-74 (1977). [CrossRef]
  7. M. Wu and C. E. Patton, "Experimental observation of Fermi-Pasta-Ulam recurrence in a nonlinear feedback ring system," Phys. Rev. Lett. 98, 047202 (2007). [CrossRef] [PubMed]
  8. G. Van Simaeys, P. Emplit, and M. Haelterman, "Experimental demonstration of the Fermi-Pasta-Ulam recurrence in a modulationally unstable optical wave," Phys. Rev. Lett. 87, 033902 (2001). [CrossRef] [PubMed]
  9. N. Akhmediev, "Déja vu in Optics," Nature 413, 267-268 (2001). [CrossRef] [PubMed]
  10. M. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinsky, "Self-focusing in Liquid Crystalline Waveguides," Mol. Cryst. Liq. Cryst. 320, 157-163 (1998).Q1 [CrossRef]
  11. M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. Khoo, "Electrically assisted selfconfinement and waveguiding in Planar Nematic Liquid Crystal Cells," Appl. Phys. Lett. 77, 7-9 (2000). [CrossRef]
  12. J. Henninot, M. Debailleul, R. Asquini, A. d’Alessandro, and M. Warenghem, "Self-waveguiding in an Isotropic Channel induced in Dye Doped Nematic Liquid Crystal and a Bent Self-Waveguide," J. Opt. A: Pure Appl. Opt. 6, 315-323 (2004). [CrossRef]
  13. J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Simulations and Experiments on Self-focusing Conditions in Nematic Liquid-crystal Planar Cells," Opt. Express 12, 1011-1018 (2004). [CrossRef] [PubMed]
  14. X. Hutsebaut, C. Cambournac, M. Haelterman, J. Beeckman, and K. Neyts, "Measurement of the Self-induced Waveguide of a Soliton like Optical Beam in a Nematic Liquid Crystal," J. Opt. Soc. Am. B 22, 1424-1431 (2005). [CrossRef]
  15. J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Time Dependence of Soliton Formation in Planar Cells of Nematic Liquid Crystals," IEEE J. Quantum Electron. 41, 735-740 (2005). [CrossRef]
  16. J. Henninot, J. Blach, and M. Warenghem, "Experimental study of the nonlocality of spatial optical solitons excited in nematic liquid crystal," J. Opt. A: Pure Appl. Opt. 9, 20-25 (2007). [CrossRef]
  17. I. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley-Interscience, New York, 1994).
  18. M. Peccianti, C. Conti, and G. Assanto, "Optical Modulational Instability in a Nonlocal Medium," Phys. Rev. E 68, 025602 (2003).Q2 [CrossRef]
  19. M. Peccianti, C. Conti, and G. Assanto, "Optical Multisoliton Generation in Nematic Liquid Crystals," Opt. Lett. 28, 2231-2233 (2003). [CrossRef] [PubMed]
  20. A. Snyder and D. Mitchell, "Accessible Solitons," Science 276, 1538-1541 (1997). [CrossRef]
  21. W. Krolikowski, O. Bang, J. J. Rasmussen, and J. Wyller, "Modulational instability in nonlocal nonlinear Kerr media," Phys. Rev. E 64, 016612 (2001).Q3 [CrossRef]
  22. A. Strinić, D. Timotijević, D. Arsenović, M. Petrović, and M. Belić, "Spatiotemporal Optical Instabilities in Nematic Solitons," Opt. Express 13, 493-504 (2005). [CrossRef] [PubMed]

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