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A complete solution of the mathematical problem for the behaviour of the flexoelectric domains in a d.c. voltage for the case of anisotropic elasticity♣

H. P. HINOV1,* , Y. G. MARINOV2

Affiliation

  1. Laboratory of Liquid Crystals, Institute of Solid State Physics, Bulgarian Academy of Sciences, Sofia 1784, Bulgaria
  2. Laboratory of Biomolecular Layers, Georgi Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, 72 Tzarigradsko Chaussee Blvd., 1784 Sofia, Bulgaria

Abstract

The solution of the Euler-Lagrange equations for the director components ny=f1(z)sinqy and n z=f 2(z)cosqy, where q is the wave number of the flexoelectric domains of Vistin’-Pikin-Bobylev, has been for the first time exactly found with the aid of matrix calculations for the case of a planar nematic layer with anisotropic elasticity and a negative dielectric anisotropy under the action of an inhomogeneous d.c. flexoelectrically deforming electric field. A comparison is made with another, approximate, solution for anisotropic elasticity and a homogeneous electric field. A discussion of the eventual applications of this solution is also presented..

Keywords

Liquid crystals, Flexoelectric domains, Matrix calculations.

Submitted at: Nov. 5, 2008
Accepted at: Sept. 9, 2009

Citation

H. P. HINOV, Y. G. MARINOV, A complete solution of the mathematical problem for the behaviour of the flexoelectric domains in a d.c. voltage for the case of anisotropic elasticity♣, Journal of Optoelectronics and Advanced Materials Vol. 11, Iss. 9, pp. 1202-1205 (2009)