One-dimensional transverse modulational instability in nonlocal media with a reorientational nonlinearity

IEEE Journal on Selected Topics in Quantum Electronics

Volumn 10, Issue 5, 2004, Pages 862-869

  Assanto, Gaetano ^a   Peccianti, Marco ^a   Conti, Claudio ^a  

^a ROMA TRE UNIVERSITY   (Italy)

Author keywords

Instability; Liquid crystals; Nonlocality; Self action effects; Spatial solitons; Speckle; Transverse effects

Indexed keywords

BANDWIDTH; FOURIER TRANSFORMS; LINEAR SYSTEMS; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES; PHOTOREFRACTIVE MATERIALS; QUANTUM THEORY;

BOSE-EINSTEIN CONDENSATES (BEC); NONLOCALITY; SELF-ACTION EFFECTS; SPATIAL SOLITONS; TRANSVERSE EFFECTS;

NEMATIC LIQUID CRYSTALS;

EID: 10944267162     PISSN: 1077260X     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSTQE.2004.835999     Document Type: Article

References (45)

1. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations. New York: Wiley, 1979.
2. E. Enfield and G. Rowlands, Nonlinear Waves, Solitons and Chaos. Cambridge, U.K.: Cambridge Univ. Press, 1990.
3. A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, "Propagation of light beams in anisotropic nonlinear media: From symmetry breaking to spatial turbulence," Phys. Rev. A, vol. 54, no. 1, pp. 870-879, 1996.
4. N. N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams. London, U.K.: Chapman & Hall, 1997.
5. G. I. Stegeman, "Spatial beam instabilities due to instantaneous nonlinear mechanisms," presented at the NATO Advanced Study Institute 56th Scottish Universities Summer School in Physics on Ultrafast Photonics, St. Andrews, U.K., 2003.
6. M. C. Cross and P. C. Hohenberg, "Pattern formation outside of equilibrium," Rev. Mod. Phys., vol. 65, no. 851, 1993.
7. A. Hasegawa, "Generation of a train of soliton pulses by induced modulational instability in optical fibers," Opt. Lett., vol. 9, no. 7, pp. 288-290, 1984.
8. A. J. Campillo, S. L. Shapiro, and B. R. Suydam, "Periodic breakup of optical beams due to self-focusing," Appl. Phys. Lett., vol. 23, no. 11, pp. 628-630, 1973.
9. A. A. Kanashov and A. M. Rubenchik, "On diffraction and dispersion effect on three wave interaction," Physica D, vol. 4, pp. 122-134, 1981.
10. H. Fang, R. Malendevich, R. Schiek, and G. I. Stegeman, "Spatial modulational instability in one-dimensional lithium niobate slab waveguides," Opt. Lett., vol. 25, no. 24, pp. 1786-1788, 2000.
11. R. Malendevich, L. Jankovic, G. Stegeman, and J. S. Aitchison, "Spatial modulation instability in a Kerr slab waveguide," Opt. Lett., vol. 26, no. 23, pp. 1879-1881, 2001.
12. R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, "Measurement of modulational instability gain of second-order nonlinear optical eigenmodes in a one-dimensional system," Phys. Rev. Lett., vol. 86, no. 20, pp. 4528-4531, 2001.
13. 3 slab waveguides," Laser Phys., vol. 13, pp. 137-147, 2003.
14. R. Neubecker, G. L. Oppo, B. Thuering, and T. Tshudi, "Pattern formation in a liquid-crystal light valve with feedback, including polarization, saturation, and internal threshold effects," Phys. Rev. A, vol. 52, pp. 791-808, 1995.
15. G. Shliecker and R. Neubecker, "Voronoi analysis of the breakdown of order in spontaneous optical spot patterns," Phys. Rev. E, vol. 61, pp. R997-R1000, 2000.
16. E. Benkler, M. Kreuzer, R. Neubecker, and T. Tshudi, "Experimental control of unstable patterns and elimination of spatiotemporal disorder in nonlinear optics," Phys. Rev. Lett., vol. 84, pp. 879-882, 2000.
17. E. Pampaloni, P. L. Ramazza, S. Residori, and F. T. Arecchi, "Two dimensional crystals and quasicrystals in nonlinear optics," Phys. Rev. Lett. vol. 74, pp. 258-261, 1995.
18. V. B. Taranenko, C. O. Weiss, and B. Shäpers, "From coherent to incoherent hexagonal patterns in semiconductor resonators," Phys. Rev. A, vol. 65, pp. 013812-1-013 812-4, 2002.
19. S. Lorenzo, G. Tissoni, L. A. Lugiato, and M. Branbilla, "Thermal effects and transverse structures in semiconductor microcavities with population inversion," Phys. Rev. A, vol. 66, pp. 023 817-1-023 817-12, 2002.
20. R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, "Spatial modulational instability and multisolitonlike generation in a quadratically nonlinear optical medium," Phys. Rev. Lett., vol. 78, no. 14, pp. 2756-2759, 1997.
21. D. Kip, M. Soljajic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science, vol. 290, pp. 495-498, Oct. 2000.
22. J. Klinger, H. Martin, and Z. Chen, "Experiments on induced modulational instability of an incoherent optical beam," Opt. Lett., vol. 26, no. 5, pp. 271-273, 2001.
23. D. Kip, M. Soljacic, M. Segev, S. S. Sears, and D. N. Christodoulides, "(1 + 1)-dimensional modulational instability of spatially incoherent light," J. Opt. Soc. Amer. B, vol. 19, no. 3, pp. 502-512, 2002.
24. W. Krolikowski, O. Bang, J. J. Rasmussen, and J. Wyller, "Modulational instability in nonlocal nonlinear Kerr media," Phys. Rev. E, vol. 64, no. 016612, pp. 1-8, 2001.
25. J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, "Generic features of modulational instability in nonlocal Kerr media," Phys. Rev. E, vol. 66, pp. 066 615-1-066 615-13, 2002.
26. A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, "Thermal self-effect of wave beams in a plasma with a nonlocal nonlinearity," Sov. J. Plasma Phys., vol. 1, no. 1, pp. 31-37, 1975.
27. 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.
28. I. C. Khoo, T. H. Liu, and R. Normandin, "Nonlocal transverse dependence of molecular reorientation induced in a nematic liquid crystal by a Gaussian laser beam," Mol. Cryst. Liq. Cryst., vol. 131, pp. 315-326, 1985.
29. M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, "Nonlocal spatial soliton interactions in bulk nematic liquid crystals," Opt. Lett., vol. 27, no. 16, pp. 1460-1462, 2002.
30. G. Assanto, M. Peccianti, and C. Conti, "Nematicons: Optical spatial solitons in nematic liquid crystals," Opt. Photon. News, vol. 14, pp. 44-48, 2003.
31. A. Parola, L. Salasnich, and L. Reatto, "Structure and stability of bosonic clouds: Alkali-metal atoms with negative scattering length," Phys. Rev. A, vol. 57, no. 5, pp. R3180-R3183, 1998.
32. V. M. Perez-Garcia, V. V. Konotop, and J. J. Garcia-Ripoll, "Dynamics of quasi collapse in nonlinear Schrodinger systems with nonlocal interactions," Phys. Rev. E, vol. 62, no. 3, pp. 4300-4308, 2000.
33. W. Krolikowski, C. Denz, A. Stepken, M. Saffman, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclass. Opt., vol. 10, pp. 823-837, 1998.
34. M. Peccianti, C. Conti, and G. Assanto, "Observation of optical modulational instability in a nonlocal medium," Phys. Rev. E, vol. 68, pp. 025 602-1-025 602-4, Aug. 2003.
35. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals. Oxford, U.K.: Oxford Univ. Press, 1993.
36. N. V. Tabyrian, A. V. Sukhov, and B. Y. Zel'dovich, "Orientational optical nonlinearity of liquid crystals," Mol. Cryst. Liq. Cryst., vol. 136, pp. 1-139, 1986.
37. I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena. New York: Wiley, 1995.
38. D. W. McLaughlin, D. J. Muraki, M. J. Shelley, and X. Wang, "A paraxial model for optical self-focusing in a nematic liquid crystal," Physica D, vol. 88, no. 1, pp. 55-81, 1995.
39. M. Peccianti, 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, no. 1, pp. 7-9, 2000.
40. C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett., vol. 91, no. 7, pp. 073901.1-073901.4, Aug. 2003.
41. M. Mitchell, Z. Chen, M. Shih, and M. Segev, "Self-trapping of partially spatially incoherent light," Phys. Rev. Lett., vol. 77, no. 3, pp. 490-493, 1996.
42. M. Mitchell and M. Segev, "Self-trapping of incoherent white light," Nature, vol. 387, pp. 880-883, 1997.
43. M. Peccianti and G. Assanto, "Incoherent spatial solitary waves in nematic liquid crystals," Opt. Lett., vol. 26, no. 22, pp. 1791-1793, 2001.
44. _, "Nematic liquid crystals: A suitable medium for self-confinement of coherent and incoherent light," Phys. Rev. E, vol. 65, pp. R035 603-R035 606, 2002.
45. Y. Kivshar and G. Agrawal, Optical Solitons. New York: Academic, 2003.