本論文基於液晶連續彈性體形變理論，利用有限元素法發展出通用二維液晶導軸分佈模擬程式，並利用廣義瓊斯矩陣進行光學模擬工作。在模擬程式應用方面，我們針對反射式液晶元件加以模擬。首先我們展示了如何利用模擬程式，來決定不同模態下的最佳操作參數組合，同時本程式也可模擬各工作模態下的光電特性，包括有電光響應、反射率頻譜分析、視角等高線圖等。最後，我們將反射式液晶元件結構中一般只針對特定波長的λ/4波片，置換成由多液晶層製成之寬頻λ/4波片，經程式模擬結果，將可大幅提升其他可見光波段的光電特性，藉以達到反射式液晶元件的全彩化顯示效果。

In this thesis, we develop a computer program to simulate the liquid crystal (LC) director distribution and LC optics using the Finite Element Method (FEM). The part of LC director distribution is based on the principles of the continuum theory, and the optical part is derived using the extended Jones matrix. We apply this general program to find the optimum operational parameters of Modulated Twist Nematic (MTN) reflective LC devices first. Then their electro-optical (E-O) characteristics including the E-O response, reflectance spectra and viewing-angle diagram can be simulated by the codes as well. At last, this work improves the structure of the MTN LC device for a full-color display application.

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