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...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。展开更多
The director configurations of nematic liquid crystalline droplets and their corresponding configuration transitions were studied with Monte Carlo simulation in cubic lattices. The Lebwohl-Lasher (LL) nematogen potent...The director configurations of nematic liquid crystalline droplets and their corresponding configuration transitions were studied with Monte Carlo simulation in cubic lattices. The Lebwohl-Lasher (LL) nematogen potential was employed as the prototype of the nematic interaction between nearest-neighbor rodlike molecules. It has been found that the director configurations of nematic droplets change with the mode and strength of the interfacial interaction as well as temperature. Further description is given of the restructuring processes of spheric and elliptic nematic droplets subjected to different strengths of external fields. These results are, hence, helpful for understanding the display mechanism of polymer dispersed liquid crystal materials. The studies also demonstrate that Monte Carlo simulation based on LL model is an effective method for investigating the physics in the small systems of liquid crystal under confined geometries.展开更多
基金Supported by Natural Science Foundation of Hebei Province of China(No.F2020202015)Innovation Method Fund of China(No.2020IM020600)+1 种基金Research Projects of Undergraduate Education and Teaching Reform of Hebei University of Technology of China(No.201903006)Ministry of Education Industry-University Cooperative Education Program of China(No.202102026001)。
文摘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。
基金Project supported by the National Natural Science Foundation of Chinathe Trans-Century-Talent Foundation of the State Education Commission of Chinathe Science and Technology Foundation of Shanghai
文摘The director configurations of nematic liquid crystalline droplets and their corresponding configuration transitions were studied with Monte Carlo simulation in cubic lattices. The Lebwohl-Lasher (LL) nematogen potential was employed as the prototype of the nematic interaction between nearest-neighbor rodlike molecules. It has been found that the director configurations of nematic droplets change with the mode and strength of the interfacial interaction as well as temperature. Further description is given of the restructuring processes of spheric and elliptic nematic droplets subjected to different strengths of external fields. These results are, hence, helpful for understanding the display mechanism of polymer dispersed liquid crystal materials. The studies also demonstrate that Monte Carlo simulation based on LL model is an effective method for investigating the physics in the small systems of liquid crystal under confined geometries.
