Dynamic Analysis of Liquid Crystal Pixels

Introduction

We have demonstrated in previous articles the static electrical and optical simulation of LC cells [1][2]. The last piece of the function for a comprehensive analysis of an LC pixel is the capability of performing transient simulation. In this article, we will show the dynamic calculation of the LC director and the combination of electrical and optical simulation.

Theoretical Basis

The distribution of the LC director n is known to be obtained by minimizing the Gibbs free energy of the LC system. By neglecting the fluid flow effect and considering only the rotational viscosity, the dynamic equation of the director, with the constraint |n|=1, is given as [3]