Modulational instability of optically induced nematicon propagation

doi:10.1088/1674-1056/22/12/129401

摘要/Abstract

摘要： We report the modulational instability (MI) analysis for the modulation equations governing the propagation of coherent polarized light through a nematic liquid crystal (NLC) slab, in the limit of low light intensity and local material response. The linear stability analysis of the nonlinear plane wave solutions is performed by considering both the wave vectors (k,l) of the basic states and wave vectors (K,L) of the perturbations as free parameters. We compute the MI gain, and the MI gain peak is reduced and the stable bandwidth is widened with the increase of the strength of the applied electric field. Further, we invoke the extended homogeneous balance method and Exp-function method aided with symbolic computation and obtain a series of periodic solitonic humps of nematicon profiles admitting the propagation of laser light in the NLC medium.

关键词: solitons, computational methods, liquid crystals, nonlinearity

Abstract: We report the modulational instability (MI) analysis for the modulation equations governing the propagation of coherent polarized light through a nematic liquid crystal (NLC) slab, in the limit of low light intensity and local material response. The linear stability analysis of the nonlinear plane wave solutions is performed by considering both the wave vectors (k,l) of the basic states and wave vectors (K,L) of the perturbations as free parameters. We compute the MI gain, and the MI gain peak is reduced and the stable bandwidth is widened with the increase of the strength of the applied electric field. Further, we invoke the extended homogeneous balance method and Exp-function method aided with symbolic computation and obtain a series of periodic solitonic humps of nematicon profiles admitting the propagation of laser light in the NLC medium.

Key words: solitons, computational methods, liquid crystals, nonlinearity

中图分类号: (Solitons and solitary waves)

94.05.Fg

46.15.-x (Computational methods in continuum mechanics) 64.70.pp (Liquid crystals) 47.20.Ky (Nonlinearity, bifurcation, and symmetry breaking)

L. Kavitha, M. Venkatesh, S. Dhamayanthi, D. Gopi. Modulational instability of optically induced nematicon propagation[J]. 中国物理B, 2013, 22(12): 129401-129401.

L. Kavitha, M. Venkatesh, S. Dhamayanthi, D. Gopi. Modulational instability of optically induced nematicon propagation[J]. Chin. Phys. B, 2013, 22(12): 129401-129401.

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