一维渐变介电张量液晶光波导的模解器  

Modesolver for liquid crystal optical waveguide with one-dimensional graded dielectric tensor

作　　者：查正桃 张谦述 温倩 ZHA Zhengtao;ZHANG Qianshu;WEN Qian(Schol of Physics and Astronomy,China West Normal University,Nanchong 637009,China;School of Electronic Information Engineering,China West Normal University,Nanchong 637009,China)

机构地区：[1]西华师范大学物理与天文学院,四川南充637009 [2]西华师范大学电子信息工程学院,四川南充637009

出　　处：《光学技术》2022年第4期410-415,共6页Optical Technique

基　　金：四川省科技厅应用基础研究计划项目(2014JY0024);南充市科技局科研基金(19YFZJ0090);西华师范大学英才科研基金(17YC056);西华师范大学创新创业训练计划项目(cxcy2021318)。

摘　　要：液晶光波导本征模场分析的准确度直接影响到其器件的性能。采用了以下步骤去准确求解电介质张量沿着一个维度渐变的液晶光波导中的模场分布。考虑液晶场致重新取向的渐变特性,对液晶的各向异性磁场耦合方程组进行了有限差分离散,然后改进传统差分算符矩阵得到了能准确求解液晶光波导中模式的特征值方程。最后,给出一个数值案例,将求解结果与本征模内场分量间的耦合关系比较从而验证了该模解器的有效性。The accuracy of mode field analysis directly affects the performance of devices based on liquid crystal optical waveguides(LCOWs). The following procedures were used to accurately solve the mode field distribution in LCOW, with a dielectric tensor being graded along one dimension. The anisotropic magnetic field coupling equations of liquid crystal are discretized by the finite-difference method, under the case that the gradient characteristic of liquid crystal field-induced reorientation has been considered. Then, the eigenvalue equation that can accurately solve the modes in the LCOW is obtained by improving the traditional difference operator matrix. Finally, a numerical example is given to compare the solution results with the coupling relationship between the field components in the eigenmode, which is to verify the effectiveness of the proposed mode solver.

关 键 词：渐变介电张量 液晶 光波导 模解器 

分 类 号：TN252[电子电信—物理电子学]