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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 12 — Dec. 1, 2006
  • pp: 2551–2558

Large-amplitude nematicon propagation in a liquid crystal with local response

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


JOSA B, Vol. 23, Issue 12, pp. 2551-2558 (2006)
http://dx.doi.org/10.1364/JOSAB.23.002551


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Abstract

The evolution of polarized light in a nematic liquid crystal whose directors have a local response to reorientation by the light is analyzed for arbitrary input light power. Approximate equations describing this evolution are derived based on a suitable trial function in a Lagrangian formulation of the basic equations governing the electric fields involved. It is shown that the nonlinearity of the material response is responsible for the formation of solitons, so-called nematicons, by saturating the nonlinearity of the governing nonlinear Schrödinger equation. Therefore in the local material response limit, solitons are formed due to the nonlinear saturation behavior. It is finally shown that the solutions of the derived approximate equations for nematicon evolution are in excellent agreement with numerical solutions of the full nematicon equations in the local regime.

© 2006 Optical Society of America

OCIS Codes
(160.3710) Materials : Liquid crystals
(190.4400) Nonlinear optics : Nonlinear optics, materials
(190.5330) Nonlinear optics : Photorefractive optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5940) Nonlinear optics : Self-action effects

ToC Category:
Nonlinear Optics

History
Original Manuscript: June 15, 2006
Revised Manuscript: August 24, 2006
Manuscript Accepted: September 1, 2006

Citation
Cathy García Reimbert, Antonmaria A. Minzoni, Noel F. Smyth, and Annette L. Worthy, "Large-amplitude nematicon propagation in a liquid crystal with local response," J. Opt. Soc. Am. B 23, 2551-2558 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-12-2551


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References

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