Spatial solitons in nematic liquid crystals

IEEE Journal of Quantum Electronics

Volumn 39, Issue 1, 2003, Pages 13-21

  Assanto, Gaetano ^a   Peccianti, Marco ^a  

^a ROMA TRE UNIVERSITY   (Italy)

Author keywords

Liquid crystals; Nonlinear optics; Nonlinear wave propagation; Optical solitons; Self focusing

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; MAXWELL EQUATIONS; NEMATIC LIQUID CRYSTALS; NONLINEAR OPTICS; THREE DIMENSIONAL; WAVE PROPAGATION;

NONLINEAR WAVE PROPAGATION; SCHRODINGER EQUATION; SELF FOCUSING; SLOWLY VARYING ENVELOPE APPROXIMATION; SPATIAL SOLITONS;

SOLITONS;

EID: 0037251269     PISSN: 00189197     EISSN: None     Source Type: Journal    
DOI: 10.1109/JQE.2002.806185     Document Type: Article

References (37)

1. D. B. Ostrowsky and R. Reinisch, Eds., Guided Wave Nonlinear Optics. Dordrecht, The Netherlands: Kluwer, 1992.
2. I. C. Khoo, F. Simoni, and C. Umeton, Eds., Novel Optical Materials and Applications. New York: Wiley, 1997.
3. F. Kajzar and R. Reinisch, Eds., Beam Shaping and Control with Nonlinear Optics. New York: Plenum, 1997, B369.
4. A. D. Boardman, Ed., Soliton Driven Photonics. Dordrecht, The Netherlands: Kluwer, 2001.
5. S. Trillo and W. E. Torruellas, Eds., Spatial Solitons. Berlin, Germany: Springer-Verlag, 2001.
6. I. Lam and J. Prost, Solitons in Liquid Crystals: Partially Ordered Systems. Berlin, Germany: Springer-Verlag, 1991.
7. "Photorefractive Spatial Solitons," M. Segev, B. Crosignani, P. Di Porto, M. F. Shih, Z. Chen, M. Mitchell, and G. Salamo, in Beam Shaping and Control with Nonlinear Optics, I. C. Khoo, F. Simoni, and C. Umeton, Eds. New Yor: Plenum, 1997, pp. 259-290.
8. V. E. Zacharov and B. A. Malomed, Physical Encyclopedia, A. M. Prokhorov, Ed. Moscow, Russia: Great Russin Encyclopedia, 1994.
9. I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena. New York: Wiley, 1995.
10. N. V. Tabiryan, A. V. Sukhov, and B. Ya. Zel'dovich, "Orientational Optical Nonlinearity of Liquid Crystals," Mol. Cryst. Liq. Cryst., vol. 136, pp. 1-139, 1986.
11. P. G. Drazin and R. S. Johnson, Solitons: An Introduction. Cambridge, U.K.: Cambridge Univ. Press, 1991.
12. A. W. Synder, D. J. Mitchell, L. Poladian, and F. Ladoucer, "Self-Induced Optical Fibers: Spatial Solitary Waves," Opt. Lett., vol. 16, pp. 21-23, 1991.
13. P. G. De Gennes and J. Prost, The Physics of Liquid Crystals. London, U.K.: Oxford Univ. Press, 1993.
14. P. J. Collings and M. Hird, Introduction to Liquid Crystals: Chemistry and Physics. London, U.K.: Taylor & Francis, 1997.
15. I. C. Khoo, T. H. Liu, and P. Y. Yan, "Nonlocal radial dependence of laser induced molecular reorientation in a nematic liquid crystal: Theory and experiment," J. Opt. Soc. Amer. B, vol. 4, pp. 115-120, 1987.
16. S. K. Turitsyn, "Spatial dispersion of nonlinearity and stability of multidimensional solitons," Teor. Mat. Fiz., vol. 64, pp. 226-232, 1985.
17. A. Snyder and D. J. Mitchell, "Accessible solitons," Science, vol. 276, pp. 1538-1541, 1997.
18. E. Braun, L. P. Faucheux, A. Libchaber, D. W. McLaughlin, D. J. Muraki, and M. J. Shelley, "Filamentation and Undulation of self-focused laser beams in liquid crystals," Europhys. Lett., vol. 23, pp. 239-244, 1993.
19. D. W. McLaughlin, D. J. Muraki, and M. J. Shelley, "Self-focussed optical structures in a nematic liquid crystal," Physica D, vol. 97, pp. 471-497, 1996.
20. F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, "A thermal (2D+1) spatial optical soliton in a dye doped liquid crystal," J. Opt. A: Pure Appl. Opt., vol. 2, pp. 332-337, 2000.
21. J. F. Henninot, M. Debailleul, F. Derrien, G. Abbate, and M. Warenghem, "(2D+1) spatial optical solitons in dye doped liquid crystals," Synth. Met., vol. 124, pp. 9-13, 2001.
22. J. F. Henninot, M. Debailleul, and M. Warenghem, "Tunable nonlocality of thermal nonlinearity in dye-doped nematic liquid crystal," Mol. Cryst. Liq. Cryst., vol. 375, pp. 631-640, 2002.
23. M. A. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinski, "Self focusing in liquid crystalline waveguides," Mol. Cryst. Liq. Cryst., vol. 320, pp. 157-163, 1998.
24. M. A. Karpierz, "Solitary waves in liquid crystalline waveguides," Phys. Rev. E, vol. 66, pp. 036 603.1-036 603.9, 2002.
25. M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, "Electrically assisted self-confinement and waveguiding in planar nematic liquid crystal cells," Appl. Phys. Lett., vol. 77, pp. 7-9, 2000.
26. M. Peccianti and G. Assanto, "Signal readdressing by steering of spatial solitons in bulk nematic liquid crystals," Opt. Lett., vol. 26, pp. 1690-1692, 2001.
27. M. L. Dowell, B. D. Paul, A. Gallagher, and J. Cooper, "Self-focused light propagation in a fully saturable medium: Theory," Phys. Rev., vol. A 52, pp. 3244-3253, 1995.
28. A. W. Snyder and D. J. Mitchell, "Mighty morphing spatial solitons and bullets," Opt. Lett., vol. 22, pp. 16-18, 1997.
29. D. J. Mitchell and A. W. Snyder, "Soliton dynamics in a nonlocal medium," J. Opt. Soc. Amer., vol. B 16, pp. 236-239, 1999.
30. V. Tikhonenko, J. Christou, and B. Luther-Davies, "Three dimensional bright spatial soliton collision and fusion in a saturable nonlinear medium," Phys. Rev. Lett., vol. 76, pp. 2698-2701, 1996.
31. M. Shih, M. Segez, and G. Salamo, "Three-dimensional spiraling of interacting spatial solitons," Phys. Rev. Lett., vol. 78, pp. 2551-2554, 1997.
32. W. Krolikowski, C. Denz, A. Stepken, M. Staffman, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclass. Opt., vol. 10, pp. 823-837, 1998.
33. M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, "Nonlocal spatial soliton interactions in bulk nematic liquid crystals," Opt. Lett., vol. 27, pp. 1460-1462, 2002.
34. M. Mitchell, Z. Chen, M. Shih, and M. Segev, "Self-trapping of partially spatially incoherent light," Phys. Rev. Lett., vol. 77, pp. 490-493, 1996.
35. M. Peccianti and G. Assanto, "Incoherent spatial solitary waves in nematic liquid crystals," Opt. Lett., vol. 26, pp. 1791-1793, 2001.
36. D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, "Theory of incoherent self-focusing in biased photorefractive media," Phys. Rev. Lett., vol. 78, pp. 646-649, 1997.
37. M. Mitchell, M. Segev, N. Christodoulides, and T. Coskun, "Theory of self-trapped spatially incoherent light beam," Phys. Rev. Lett., vol. 79, pp. 4991-4993, 1997.