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基于分裂场时域有限差分法的全息聚合物分散液晶数值分析

Numerical Analysis of H-PDLC Using the Split-Field Finite-Difference Time-Domain Method.

作者信息

Bleda Sergio, Francés Jorge, Gallego Sergi, Márquez Andrés, Neipp Cristian, Pascual Inmaculada, Beléndez Augusto

机构信息

Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías, Universidad de Alicante, P.O. Box 99, E-03080 Alicante, Spain.

Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal, Universidad de Alicante, P.O. Box 99, E-03080 Alicante, Spain.

出版信息

Polymers (Basel). 2018 Apr 24;10(5):465. doi: 10.3390/polym10050465.

Abstract

In this work, an accurate numerical modeling of the diffraction properties of transmission holographic polymer dispersed liquid crystal (H-PDLC) gratings is presented. The method considers ellipsoid geometry-based liquid crystal (LC) droplets with random properties regarding size and location across the H-PLDC layer and also the non-homogeneous orientation of the LC director within the droplet. The direction of the LC director inside the droplets can be varied to reproduce the effects of the external voltage applied in H-PDLC-based gratings. From the LC director distribution in the droplet, the permittivity tensor is defined, which establishes the optical anisotropy of the media, and it is used for numerically solving the light propagation through the system. In this work, the split-field finite-difference time-domain method (SF-FDTD) is applied. This method is suited for accurately analyzing periodic media, and it considers spatial and time discretisation of Maxwell's equations. The scheme proposed here is used to investigate the influence on the diffraction properties of H-PDLC as a function of the droplets size and the bulk fraction of LC dispersed material.

摘要

在这项工作中,提出了一种对透射全息聚合物分散液晶(H-PDLC)光栅衍射特性的精确数值建模方法。该方法考虑基于椭球体几何形状的液晶(LC)微滴,这些微滴在整个H-PLDC层中具有关于尺寸和位置的随机特性,并且还考虑了微滴内液晶指向矢的非均匀取向。微滴内液晶指向矢的方向可以改变,以再现施加在基于H-PDLC的光栅上的外部电压的影响。根据微滴中的液晶指向矢分布定义介电常数张量,该张量确定了介质的光学各向异性,并用于数值求解光在系统中的传播。在这项工作中,应用了分裂场时域有限差分法(SF-FDTD)。该方法适用于精确分析周期性介质,并考虑了麦克斯韦方程组的空间和时间离散化。这里提出的方案用于研究作为微滴尺寸和LC分散材料体积分数函数的H-PDLC衍射特性的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8af9/6415371/c856d1a10f6b/polymers-10-00465-g001.jpg

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