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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 6 — Mar. 21, 2005
  • pp: 1808–1815

Discrete light propagation and self-trapping in liquid crystals

Andrea Fratalocchi, Gaetano Assanto, Kasia A. Brzdąkiewicz, and Mirek A. Karpierz  »View Author Affiliations


Optics Express, Vol. 13, Issue 6, pp. 1808-1815 (2005)
http://dx.doi.org/10.1364/OPEX.13.001808


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Abstract

We investigate light propagation and self-localization in a voltage-controlled array of channel waveguides realized in undoped nematic liquid crystals. We report on discrete diffraction and solitons, as well as all-optical angular steering and the formation of multiband vector breathers. The results and are in excellent agreement with both coupled mode theory and full numerical simulations.

© 2005 Optical Society of America

OCIS Codes
(160.3710) Materials : Liquid crystals
(190.0190) Nonlinear optics : Nonlinear optics

ToC Category:
Focus Issue: Discrete solitons in nonlinear optics

History
Original Manuscript: November 16, 2004
Revised Manuscript: January 25, 2005
Manuscript Accepted: January 25, 2005
Published: March 21, 2005

Citation
Andrea Fratalocchi, Gaetano Assanto, Kasia A. Brzda̢kiewicz, and Mirek A. Karpierz, "Discrete light propagation and self-trapping in liquid crystals," Opt. Express 13, 1808-1815 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-6-1808


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References

  1. S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, R. G. Hunsperger, “Channel optical waveguide directional couplers,” Appl. Phys. Lett. 22, 46–47 (1973). [CrossRef]
  2. S. M. Jensen, “The nonlinear coherent coupler,” IEEE J. Quantum Electron. QE-18, 1580–1583 (1982). [CrossRef]
  3. N. Finlayson, G. I. Stegeman, “Spatial switching, instabilities, and chaos in a three-waveguide nonlinear directional coupler,” Appl. Phys. Lett. 56, 2276–2278 (1990). [CrossRef]
  4. C. Schmidt-Hattenberger, U. Trutschel, F. Lederer, “Nonlinear switching in multiple-core couplers,” Opt. Lett. 16, 294–296 (1991). [CrossRef] [PubMed]
  5. S. Trillo, S. Wabnitz, “Coupling instability and power-induced switching with two-core dual-polarizations fiber nonlinear couplers,” J. Opt. Soc. Am. B 5, 483–491 (1985). [CrossRef]
  6. D. N. Christodoulides, R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled waveguides,” Opt. Lett. 13, 794–796 (1988). [CrossRef] [PubMed]
  7. A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, Y. Silberberg, “Spatial optical solitons in waveguide arrays,” IEEE J. Quantum Electron. 39, 31–50 (2003). [CrossRef]
  8. H. S. Eisenberg, Y. Silberberg, R. Morandotti, J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000). [CrossRef] [PubMed]
  9. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett. 83, 4756–4759 (1999). [CrossRef]
  10. D. Christodoulides, F. Lederer, Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424, 817–823 (2003). [CrossRef] [PubMed]
  11. A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, S. Wabnitz, “Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays,” Phys. Rev. E 53, 1172–1189 (1996). [CrossRef]
  12. M. Matsumoto, “Optical switching in nonlinear waveguide arrays with a longitudinally decreasing coupling coefficient,” Opt. Lett. 20, 1758–1760 (1995). [CrossRef] [PubMed]
  13. A. A. Sukhorukov, Y. S. Kivshar, “Generation and stability of discrete gap solitons,” Opt. Lett. 28, 2345–2347 (2003). [CrossRef] [PubMed]
  14. T. Peschel, R. Muschall, F. Lederer, “Power-controlled beam steering in non equidistant arrays of nonlinear waveguides,” Opt. Comm. 136, 16–21 (1997). [CrossRef]
  15. D. N. Christodoulides, E. D. Eugenieva, “Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays,” Phys. Rev. Lett. 87, 233901 (2001). [CrossRef] [PubMed]
  16. T. Pertsch, U. Peschel, F. Lederer, “All-optical switching in quadratically nonlinear waveguide arrays,” Opt. Lett. 28, 102–104 (2003). [CrossRef] [PubMed]
  17. O. Bang, P. D. Miller, “Exploiting discreteness for switching in waveguide arrays,” Opt. Lett. 21, 1105–1107 (1996). [CrossRef] [PubMed]
  18. T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, F. Lederer, “Beam steering in waveguide arrays,” Appl. Phys. Lett. 80, 3247–3249 (2002). [CrossRef]
  19. W. Krolikowsky, Y. S. Kivshar, “Soliton-based optical switching in waveguide arrays,” J. Opt. Soc. Am. B 13, 876–880 (1996). [CrossRef]
  20. R. A. Vicencio, M. I. Molina, Y. S. Kivshar, “Switching of discrete optical solitons in engineered waveguide arrays,” Phys. Rev. E 70, 026602 (2004). [CrossRef]
  21. N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, M. Segev, “Two-dimensional optical lattice solitons,” Phys. Rev. Lett. 91, 213906 (2003). [CrossRef] [PubMed]
  22. A. A. Sukhorukov, Y. S. Kivshar, “Multigap discrete vector solitons,” Phys. Rev. Lett. 91, 113902 (2003). [CrossRef] [PubMed]
  23. O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, D. N. Christodoulides, “Multiband Vector Lattice Solitons,” Phys. Rev. Lett. 91, 113901 (2003). [CrossRef] [PubMed]
  24. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, J. S. Aitchison, “Observation of mutually trapped multiband optical breathers in waveguide arrays,” Phys. Rev. Lett. 90, 253902 (2003). [CrossRef] [PubMed]
  25. J. Hudock, P. G. Kevrekidis, B. A. Malomed, D. N. Christodoulides, “Discrete vector solitons in two-dimensional nonlinear waveguide arrays: solutions, stability, and dynamics,” Phys. Rev. E 67, 056618 (2003). [CrossRef]
  26. J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, J. S. Aitchison, “Discrete vector solitons in Kerr nonlinear waveguide arrays,” Phys. Rev. Lett. 91, 143907 (2003). [CrossRef] [PubMed]
  27. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, J. S. Aitchison, “Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons,” Phys. Rev. Lett. 90, 053902 (2003). [CrossRef] [PubMed]
  28. R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, W. Sohler, “Observation of discrete quadratic solitons,” Phys. Rev. Lett. 93, 113902 (2004). [CrossRef] [PubMed]
  29. K. Sakoda, Optical Properties of Photonic Crystals, (Springer-Verlag, Berlin, 2001).
  30. M. Peccianti, G. Assanto, A. de Luca, C. Umeton, I. C. Khoo, “Electrically assisted self-confinement and waveguiding in planar nematic liquid crystal cells,” Appl. Phys. Lett. 77, 7–9 (2000). [CrossRef]
  31. M. Karpierz, “Solitary waves in liquid crystalline waveguides,” Phys. Rev. E 66, 036603 (2002). [CrossRef]
  32. G. Assanto, M. Peccianti, “Spatial solitons in nematic liquid crystals,” IEEE J. Quantum Electron. 39, 13–21 (2003). [CrossRef]
  33. C. Conti, M. Peccianti, G. Assanto, “Observation of optical spatial solitons in a highly nonlocal medium,” Phys. Rev. Lett. 92, 113902 (2004). [CrossRef] [PubMed]
  34. M. Peccianti, C. Conti, G. Assanto, A. de Luca, C. Umeton, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335–3337 (2002). [CrossRef]
  35. M. Peccianti, G. Assanto, “Signal readdressing by steering of spatial solitons in bulk nematic liquid crystals,” Opt. Lett. 26, 1690–1692 (2002). [CrossRef]
  36. A. Fratalocchi, G. Assanto, K. A. Brzda̢kiewicz, M. A. Karpierz, “Discrete propagation and spatial solitons in nematic liquid crystals,” Opt. Lett. 29, 1530–1532 (2004). [CrossRef] [PubMed]
  37. I. C. Khoo, Liquid crystals: physical properties and optical phenomena (Wiley & Sons, New York, 1995).
  38. D. A. Dumm, A. Fukuda, G. R. Luckhurst, Physical properties of liquid crystals: nematics (INSPEC, London, 2001).

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