Optical and Quantum Electronics

, Volume 37, Issue 1, pp 95–106

Simulation of 2-D lateral light propagation in nematic-liquid-crystal cells with tilted molecules and nonlinear reorientational effect

  • Jeroen Beeckman
  • Kristiaan Neyts
  • Xavier Hutsebaut
  • Cyril Cambournac
  • Marc Haelterman
Article

DOI: 10.1007/s11082-005-1126-3

Cite this article as:
Beeckman, J., Neyts, K., Hutsebaut, X. et al. Opt Quant Electron (2005) 37: 95. doi:10.1007/s11082-005-1126-3

Abstract

In the general case the optical tensor of a nematic liquid crystal consists of nine nonzero elements, which makes it difficult to calculate light propagation in a liquid-crystal cell. For a two-dimensional (2-D) problem with TM polarization and a parallel liquid-crystal orientation where the molecules are only tilted and not twisted, the full problem can be calculated by using one magnetic field component, thus reducing the problem to a scalar one. This geometry is used to simulate the self-focusing effect which can lead to the generation of spatial optical solitary waves. This self-focusing occurs due to the optical nonlinear effect of field-induced director reorientation. Due to nondiagonal elements of the optical tensor, however, it is expected that the Poynting vector will deviate from the original propagation direction. Our simulations reveal that, in this case, the deviation will not cause the loss of the soliton-like beam propagation regime, but will rather give rise to a transverse undulating behaviour.

Keywords

beam-propagation method liquid crystals optical anisotropy optical nonlinearity spatial optical solitons 

Copyright information

© Springer 2005

Authors and Affiliations

  • Jeroen Beeckman
    • 1
  • Kristiaan Neyts
    • 1
  • Xavier Hutsebaut
    • 2
  • Cyril Cambournac
    • 2
  • Marc Haelterman
    • 2
  1. 1.LC Research Group, Department of Electronics and Information SystemsGhent UniversityGentBelgium
  2. 2.Service d’optique et acoustiqueUniversité libre de BruxellesRooseveltBelgium