Numerical analysis of nonlinear electromagnetic waves in nematic liquid crystal cells

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In the current work, the nonlinear problem of electromagnetic wave propagation in a Nematic Liquid Crystal (NLC) cell is solved numerically. The LC is sandwiched between two glass layers of finite thickness and a linearly polarized beam is obliquely incident to the cell. The dielectric properties of N-LCs depend on the tilt angle of the directors. When the excitation beam enters the cell, and providing the incident intensity is above the Fréedericksz threshold, the directors reorient themselves changing the LC's relative permittivity tensor. In turn, this affects beam propagation throughout the crystal. The electromagnetic field is modeled by the time-harmonic Maxwell equations whereas the director field is governed by a nonlinear ordinary differential equation (ODE). Our solution method is iterative, consistently taking into account this interaction between the excitation beam and the director field. The Maxwell equations are solved employing the Mode-Matching Technique (MMT). The solution of the nonlinear differential equation for the director field is obtained with the aid of a finite difference (FD) scheme.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences - 4th International Conference, AMiTaNS 2012
Subtitle of host publicationMemorial Volume devoted to Prof. Christo I. Christov
Pages288-295
Number of pages8
Volume1487
DOIs
Publication statusPublished - 2012
Event4th International Conference on Application of Mathematics in Technical and Natural Sciences: Memorial Volume devoted to Prof. Christo I. Christov, AMiTaNS 2012 - St. Constantine and Helena, Bulgaria
Duration: 11 Jun 201216 Jun 2012

Other

Other4th International Conference on Application of Mathematics in Technical and Natural Sciences: Memorial Volume devoted to Prof. Christo I. Christov, AMiTaNS 2012
Country/TerritoryBulgaria
CitySt. Constantine and Helena
Period11/06/1216/06/12

Keywords

  • finite differences
  • Fréedericksz transition
  • Mode-Matching
  • nematic liquid crystals
  • nonlinear electromagnetic waves

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