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Title: Modulation analysis of nonlinear beam refraction at an interface in liquid crystals

Abstract

A theoretical investigation of solitary wave refraction in nematic liquid crystals is undertaken. A modulation theory based on a Lagrangian formulation of the governing optical solitary wave equations is developed. The resulting low-dimensional equations are found to give solutions in excellent agreement with full numerical solutions of the governing equations, as well as with previous experimental studies. The analysis deals with a number of types of refraction from a more to a less optically dense medium, the most famous being the Goos-Haenchen shift upon total internal reflection.

Authors:
 [1]; ;  [2]
  1. NooEL--Nonlinear Optics and OptoElectronics Lab,University of Rome ''Roma Tre'', Via della Vasca Navale 84, 00146 Rome (Italy)
  2. School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh EH9 3JZ, Scotland (United Kingdom)
Publication Date:
OSTI Identifier:
22072184
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BEAMS; LAGRANGIAN FUNCTION; LIQUID CRYSTALS; MODULATION; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; REFLECTION; REFRACTION; WAVE EQUATIONS

Citation Formats

Assanto, Gaetano, Smyth, Noel F., and Xia Wenjun. Modulation analysis of nonlinear beam refraction at an interface in liquid crystals. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.033818.
Assanto, Gaetano, Smyth, Noel F., & Xia Wenjun. Modulation analysis of nonlinear beam refraction at an interface in liquid crystals. United States. doi:10.1103/PHYSREVA.84.033818.
Assanto, Gaetano, Smyth, Noel F., and Xia Wenjun. Thu . "Modulation analysis of nonlinear beam refraction at an interface in liquid crystals". United States. doi:10.1103/PHYSREVA.84.033818.
@article{osti_22072184,
title = {Modulation analysis of nonlinear beam refraction at an interface in liquid crystals},
author = {Assanto, Gaetano and Smyth, Noel F. and Xia Wenjun},
abstractNote = {A theoretical investigation of solitary wave refraction in nematic liquid crystals is undertaken. A modulation theory based on a Lagrangian formulation of the governing optical solitary wave equations is developed. The resulting low-dimensional equations are found to give solutions in excellent agreement with full numerical solutions of the governing equations, as well as with previous experimental studies. The analysis deals with a number of types of refraction from a more to a less optically dense medium, the most famous being the Goos-Haenchen shift upon total internal reflection.},
doi = {10.1103/PHYSREVA.84.033818},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}