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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 7 — Jul. 1, 2007
  • pp: 1549–1556

Modulation solutions for nematicon propagation in nonlocal liquid crystals

Antonmaria A. Minzoni, Noel F. Smyth, and Annette L. Worthy  »View Author Affiliations


JOSA B, Vol. 24, Issue 7, pp. 1549-1556 (2007)
http://dx.doi.org/10.1364/JOSAB.24.001549


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Abstract

The propagation of solitary waves, so-called nematicons, in a nonlinear nematic liquid crystal is considered in the nonlocal regime. Approximate modulation equations governing the evolution of input beams into steady nematicons are derived by using suitable trial functions in a Lagrangian formulation of the equations for a nematic liquid crystal. The variational equations are then extended to include the effect of diffractive loss as the beam evolves. It is found that the nonlocal nature of the interaction between the light and the nematic has a significant effect on the form of this diffractive radiation. Furthermore, it is this shed radiation that allows the input beam to evolve to a steady nematicon. Finally, excellent agreement is found between solutions of the modulation equations and numerical solutions of the nematic liquid-crystal equations.

© 2007 Optical Society of America

OCIS Codes
(160.3710) Materials : Liquid crystals
(190.4400) Nonlinear optics : Nonlinear optics, materials
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5940) Nonlinear optics : Self-action effects

ToC Category:
Nonlinear Optics

History
Original Manuscript: December 21, 2006
Revised Manuscript: February 26, 2007
Manuscript Accepted: February 27, 2007
Published: June 15, 2007

Citation
Antonmaria A. Minzoni, Noel F. Smyth, and Annette L. Worthy, "Modulation solutions for nematicon propagation in nonlocal liquid crystals," J. Opt. Soc. Am. B 24, 1549-1556 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-7-1549

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