电控液晶分子指向矢和电参数快速建模  

Fast modeling of molecular director and electrical parameters of electrically-controlled liquid crystal

作　　者：孙家霖 程光磊 高火涛[1] 王晓峰[3] 向艳杰 SUN Jialin;CHENG Guanglei;GAO Huotao;WANG Xiaofeng;XIANG Yanjie(School of Electronic Information,Wuhan University,Wuhan430073,China;2021th Station of National Radio and Television Administration,Qiqihar161000,Heilongjiang Province,China;School of Physics and Technology,Wuhan University,Wuhan430073,China;Mingfei Weiye Technology Co.,Ltd.,Wuhan430070,China)

机构地区：[1]武汉大学电子信息学院,湖北武汉430073 [2]国家广播电视总局2021台,黑龙江齐齐哈尔161000 [3]武汉大学物理科学与技术学院,湖北武汉430073 [4]鸣飞伟业技术有限公司,湖北武汉430070

出　　处：《电子元件与材料》2023年第11期1348-1354,1361,共8页Electronic Components And Materials

基　　金：国防科技预先研究基金(61404130132);湖北省自然科学基金(2014CFA093);中央高校基本科研业务费专项资金项目(2042019K50264,2042019GF0013,2042020GF0003)。

摘　　要：传统电控液晶分子指向矢和电参数建模采用Gauss-Seidel迭代法,选取最大误差收敛法进行计算。该方法适用范围广且计算精度高,但计算效率较低,在一些复杂模型和较高偏压的情况下难以满足建模要求。为解决上述问题,从迭代算法和收敛准则方面对传统方法进行改进。首先使用逐次超松弛迭代(Successive Over Relaxation,SOR)方法完成仿真;其次分别选取平均误差收敛法和均方根误差收敛法进行计算。结果表明:改进前后仿真结果精度误差很小,SOR方法计算时间为传统方法的30%~40%,平均误差收敛法与均方根误差收敛法计算时间为传统方法的70%~80%。改进后的建模方法能在保证计算精度的前提下,大幅提高计算效率,为电控液晶射频器件、雷达通信相控阵电参数快速高精度可视化建模及设计提供依据。Gauss-Seidel method was usually employed for traditional modeling of electrically-controlled liquid crystal(LC)molecular director and electrical parameters.And maximum error convergence method was selected for computation.Although this method is widely used with high computational accuracy,its computational efficiency is limited.As a result,it is difficult to meet the modeling requirements for complex models and high bias voltage.To address the computation efficiency problem,the traditional method was improved through its iterative algorithm and convergence criterion.Firstly,the simulation was completed using the successive over relaxation(SOR)method.Secondly,the average error convergence method and root mean square error convergence method were selected for computation.When the applied bias voltage is varied between 0 V and 30 V,the simulation results are given as follows.On the one hand,the accuracy error of the results before and after improvement is generally small.On the other hand,the computing time required by the SOR method and the improved convergence criteria is 30%-40%and 70%-80%of that required by the traditional method respectively.In comparison,the improved modeling methods can significantly increase computational efficiency while maintaining the accuracy.Consequently,the improved iterative algorithm and convergence criteria can realize the fast modeling of electrically-controlled LC molecular director and electrical parameters,laying the groundwork for the efficient and accurate design and application of electrically-controlled LC-based RF devices.

关 键 词：液晶 指向矢建模 介电特性 SOR方法 收敛准则 

分 类 号：TN04[电子电信—物理电子学]