A genetic algorithm for the response of twisted nematic liquid crystals to an applied field
arxiv(2024)
摘要
When an external field is applied across a liquid-crystal cell, the twist and
tilt distributions cannot be calculated analytically and must be extracted
numerically. In the standard approach, the Euler-Lagrange equations are derived
from the minimization of the free energy of the system and then solved via
finite-difference methods, often implemented in commercial software. These
tools iterate from initial solutions that are compatible with the boundary
conditions, providing limited to no flexibility for customization. Here, we
present a genetic algorithm that outputs fast and accurate solutions to the
integral form of the equations. In our approach, the evolutionary routine is
sequentially applied at each position within the bulk of the cell, thus
overcoming the necessity of assuming trial solutions. The predictions of our
routine strongly support the experimental observations on different instances
of spatially varying twisted nematic liquid-crystal cells, patterned with
different topologies on the two alignment layers.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要