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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 14 — Jul. 6, 2009
  • pp: 11698–11709

Breathing solitons in nematic liquid crystals

A. I. Strinic, M. Petrovic, D. V. Timotijevic, N. B. Aleksic, and M. R. Belic  »View Author Affiliations

Optics Express, Vol. 17, Issue 14, pp. 11698-11709 (2009)

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Dynamical and steady-state behavior of beams propagating in nematic liquid crystals (NLCs) is analyzed. A well-known model for the beam propagation and the director reorientation angle in a NLC cell is treated numerically in space and time. The formation of steady-state soliton breathers in a threshold region of beam intensities is displayed. Below the region the beams diffract, above the region spatiotemporal instabilities develop, as the input intensity and the material parameters are varied. Curiously, the only kind of solitons we could demonstrate in our numerical studies was the breathers. Despite repeated efforts, we could not find the solitons with a steady profile propagating in the NLC model at hand.

© 2009 Optical Society of America

OCIS Codes
(160.3710) Materials : Liquid crystals
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

Original Manuscript: April 27, 2009
Revised Manuscript: June 6, 2009
Manuscript Accepted: June 9, 2009
Published: June 26, 2009

A. I. Strinic, M. Petrovic, D. V. Timotijevic, N. B. Aleksic, and M. R. Belic, "Breathing solitons in nematic liquid crystals," Opt. Express 17, 11698-11709 (2009)

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  1. I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995).
  2. Y. S. Kivshar and G. P. Agrawal, Optical solitons (Academic Press, San Diego, 2003).
  3. G. Assanto, M. Peccianti, K. Brzdakiewicz, A. De Luca, and C. Umeton, "Nonlinear wave propagation and spatial solitons in nematic liquid crystals," J. Nonlinear Opt. Phys. Mater. 12, 123-134 (2003). [CrossRef]
  4. X. Hutsebaut, C. Cambournac, M. Haelterman, J. Beeckman, and K. Neyts, "Measurement of the self-induced waveguide of a solitonlike optical beam in a nematic liquid crystal," J. Opt. Soc. Am. B 22, 1424-1431 (2005). [CrossRef]
  5. A. I. Strinić, D. V. Timotijević, D. Arsenović, M. S. Petrović, and M. R. Belic, "Spatiotemporal optical instabilities in nematic solitons," Opt. Express 13, 493-504 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-13-2-493. [CrossRef] [PubMed]
  6. P. D. Rasmussen, O. Bang, and W. Krolikowski, "Theory of nonlocal soliton interaction in nematic liquid crystals," Phys. Rev. E 72, 066611 1-7 (2005). [CrossRef]
  7. G. D’Alessandro and A. A. Wheeler, "Bistability of liquid crystal microcavities," Phys. Rev. A 67, 023816 1-12 (2003).
  8. J. F. Henninot, M. Debailleul, and M. Warenghem, "Tunable non-locality of thermal non-linearity in dye doped nematic liquid crystal," Mol. Cryst. Liq. Cryst. 375, 631-640 (2002). [CrossRef]
  9. T. M. Monro, C. Martijn de Sterke, and L. Poladian, "Investigation of waveguide growth in photosensitive germanosilicate glass," J. Opt. Soc. Am. B. 13, 2824 - 2832 (1996). [CrossRef]
  10. S. LaRochelle, V. Mizrahi, G. I. Stegeman, and J. E. Sipe, "Growth dynamics of photosensitive gratings in optical fibers," Appl. Phys. Lett. 57, 747-749 (1990). [CrossRef]
  11. T. M. Monro, C. Martijn de Sterke, and L. Poladian, "Catching light in its own trap," J. Mod. Opt. 48, 191-238 (2001).
  12. A. S. Kewitsch and A. Yariv, "Nonlinear optical properties of photoresists for projection lithography," Appl. Phys. Lett. 68, 455-457 (1996). [CrossRef]
  13. A. A. Sukhorukov, S. Shoji, Y. S. Kivshar, and S. Kawata, "Self-written waveguides in photosensitive materials," J. Nonlinear Opt. Phys. Mater. 11, 391-407 (2002). [CrossRef]
  14. K. D. Dorkenoo, F. Gillot, O. Crégut, Y. Sonnefraud, A. Fort, and H. Leblond, "Control of the refractive index in photopolymerizable materials for (2 + 1)D solitary wave guide formation," Phys. Rev. Lett. 93, 143905 1-4 (2004). [CrossRef]
  15. M. Peccianti, A. De Rossi, G. Assanto, A. De Luca, C. Umeton, and I. Khoo, "Electrically assisted self-confinement and waveguiding in planar nematic liquid crystal cells," Appl. Phys. Lett. 77, 7-9 (2000). [CrossRef]
  16. 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),http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-12-6-1011. [CrossRef] [PubMed]
  17. 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]
  18. A. Strinić, D. Jović, M. Petrović, D. Timotijević, N. Aleksić, and M. Belić, "Counterpropagating beams in nematic liquid crystals," Opt. Express 14, 12310-12315 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-25-12310. [CrossRef] [PubMed]
  19. W. Krolikowski, O. Bang, N. Nikolov, D. Neshev, J. Wyller, J. Rasmussen, and D. Edmundson, "Modulational instability, solitons and beam propagation in spatially nonlocal nonlinear media," J. Opt. B 6, S288-S294 (2004). [CrossRef]
  20. C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 1-4 (2003). [CrossRef]
  21. C. Conti, M. Peccianti, and G. Assanto, "Observation of optical spatial solitons in a highly nonlocal medium," Phys. Rev. Lett. 92, 113902 1-4 (2004). [CrossRef]
  22. M. Peccianti, C. Conti, and G. Assanto, "Optical modulational instability in a nonlocal medium," Phys. Rev. E 68, 025602(R) 1-4 (2003). [CrossRef]
  23. G. Assanto, M. Peccianti, and C. Conti, "One dimensional transverse modulational instability in nonlocal media witha reorientational nonlinearity," IEEE J. Sel. Top. Quantum Electron. 10, 862 -869 (2004). [CrossRef]
  24. A. I. Strinic; and M. R. Belic, "Beam propagation in nematic liquid crystals," Acta Phys. Pol. A, Vol. 112(5), 877- 883 (2007).
  25. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Nonlocal optical propagation in nonlinear nematic liquid crystals," J. Nonlinear Opt. Phys. Mater. 12, 525-538 (2003). [CrossRef]
  26. J.F. Henninot, J.F. Blach, and M. Warenghem, "The investigation of an electrically stabilized optical spatial soliton induced in a nematic liquid crystal," J. Opt. A: Pure Appl. Opt. 10, 085704 (2008). [CrossRef]
  27. A. W. Snyder and D. J. Mitchell, "Accessible solitons," Science 276, 1538-1541 (1997). [CrossRef]

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