Abstract

A two-dimensional model of Fredericks effect was used for the investigation of the static electric field influence on nematic liquid crystal director orientation in the side-electrode cell. The solutions of the equations describing the model were obtained by finite-difference methods. Fredericks transition threshold for the central part of the cell, as well as dependencies of the distribution of the director orientation patterns on the electric field and location, were obtained. The numerical results are found to agree qualitatively with the experiment. Further investigations are needed to elucidate completely the Fredericks effect.

Highlights

  • A change of the preferential orientation of liquid crystal (LC) molecules, in an electric or magnetic field exceeding a threshold value, results in significant change of LC properties

  • Calculated dependencies of LC director orientation on the electric field magnitude and location are shown in fig

  • This value can be taken for the Fredericks effect threshold for two-dimensional deformation of LC director in static electric field

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Summary

Introduction

A change of the preferential orientation of liquid crystal (LC) molecules (director), in an electric or magnetic field exceeding a threshold value, results in significant change of LC properties. This effect (known as orientation Fredericks transition) is used in numerous applications and extensively studied [1]. Domain formation with quite different director orientations has been found to occur when a high pulse-periodic voltage was applied to the electrodes. This is to some extent inconsistent with the common point of view that changes in the NLC director orientation are smooth. The Fredericks transition threshold for the central part of the cell, as well as dependencies of the distribution of the director orientation patterns on the electric field magnitude and location were obtained

Mathematical formulation of the problem
Results of Calculation and Discussion
Summary

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