液晶与显示2018，Vol.33Issue(1)：23-29,7.DOI:10.3788/YJYXS20183301.0023
挠曲电效应对液晶微波相位调制的影响
Influence of flexoelectric effect on the microwave phase modulation of liquid crystal
摘要
Abstract
The phase modulation of the liquid crystal microwave modulator depends on the distribution of the liquid crystal molecular director.The distribution of liquid crystal director is not only affected by these factors such as the pretilt angle of the liquid crystal molecules and the anchoring energy on the surface of the substrate.The flexoelectric effect of the liquid crystal material also affects the liquid crystal director distribution.Based on the elastic theory of liquid crystal and the finite-difference itera-tive method,the influence of flexoelectric effect on the microwave phase modulation of parallel aligned nematic (PAN ) liquid crystal is studied.We get the equilibrium equations of the weak anchoring PAN cell.The numerical simulation shows the variation of microwave phase shift per unit length (MPSL ) with voltage under different pretilt angles, anchoring energies and flexoelectric coefficients of the liquid crystal material.The results show that the MPSL increases with the decrease of anchoring ener-gy.The maximum adjustable range of MPSL is 20° under A0 = Ad = 5 ×10- 5 J/m2 when e11+e33 =5×10-11C/m.Due to the flexoelectric effect,the maximum adjustable range of MPSL is 17° when the pretilt angle is 0°,and the maximum difference increase of MPSL is 9°.When the pretilt angle is 3°,the adjustable range of MPSL increases with the increase of e11+e33,and the MPSL always decreases under A0=Ad=10-3J/m2,while the MPSL first decreases,then increases,and eventually decreases under A0=Ad=5×10-5J/m2.The maximum difference increase of MPSL is 9° relative to ignoring the flexoelectric effect.This study has some guiding significance for the design of liquid crystal micro-wave modulator.关键词
挠曲电效应/液晶微波相位调制/单位长度相移/液晶弹性理论/差分迭代方法Key words
flexoelectric effect/microwave phase modulation of liquid crystal/microwave phase shift per unit length/elastic theory of liquid crystal/the finite-difference iterative method分类
数理科学引用本文复制引用
李振杰,袁瑞,孙婷婷,朱吉亮,叶文江..挠曲电效应对液晶微波相位调制的影响[J].液晶与显示,2018,33(1):23-29,7.基金项目
国家自然科学基金(No.11374087 （）
No.11504080 ) （）
河北省 自然科 学基金 (No.A2014202123 （）
No.A2017202004) 、河北省教育厅项目(No.QN2014130) （No.QN2014130）
河北省高校重点学科资助课题Supported by National Natural Science Foundation of China (No.11374087 （）
No.11504080) （）
Natural Science Foundation of Hebei Province (No.A2014202123 （）
No.A2017202004) （）
Research Project of Hebei Education Department (No.QN2014130) （No.QN2014130）
Key Subject Construction Project of Hebei Province University. （）
