LC3D : Liquid crystal display 3-d director simulator software and technology guide

The detailed, 200-page technology guide goes far beyond simply showing you how to use the software. It gives you a comprehensive understanding of director simulations, helping you to judge the accuracy of results. From the basic mathematical formulas that describe liquid crystals... to actual source code implementation, you get a thorough explanation of the underlying logic behind the software. Moreover, the manual explores the energies involved in liquid crystals, and teaches you how the formulas used in simulation programs were derived.

System Requirements: PC compatible. Performs best with Pentium II processor or greater, 128 MB RAM or more.

Table of Contents Technology Guide Contents:

Section I: Theory

Introduction - Computer Simulations of Physical Systems. Liquid Crystals. Optical Properties.

Mathematical Equations - Elastic Free Energy. Electric Free Energy. Anchoring Energy.

Deriving an Update Formula - Director Update Formula. Voltage Update Formula.

Performing Iterations - Dynamics. Equilibrium. Patterned Electrodes. Reducing the Number of Dimensions.

Section II: Implementation

Defining the Problem -Discretization. Initial Conditions. Boundary Conditions.

Steady State Determination for Equilibrium Calculations.

Simulation Parameters - Numerical Time Step. Grid Spacing. Over-Relaxation.

Comparison of the Vector and Tensor Model - Topologically Equivalent and Inequivalent States. Numerical Simulation Using the Vector and Tensor Methods.

Analyzing Results and Sample Calculations.

Appendix Example Program, LC3D - Graphical User Interface. Maple Scripts. Fortran Subroutines: the Heart of LC3D.