光波導技術之一的全漏光導模技術已被使用來探求液晶盒內液晶指向矢詳細分佈情形。此技術主要量測不同入射角度之偏振氦氖雷射光於液晶盒內傳播後的反射率與穿透率，並利用多層光學4×4矩陣的理論模擬來擬合，即可取得未加電場下液晶盒內液晶指向矢方向分佈資訊。同時，此技術也可搭配基於彈性連續體理論所模擬的液晶指向矢傾角空間分佈圖，結合同樣的擬合程序方法，來取得極角錨定能的值。
本論文主要研究以全漏光導模技術量測液晶盒的極角錨定能及架設整個量測系統。為了預測以全漏光導模技術量測一液晶盒的光學特性，我們利用多層光學4×4矩陣進行模擬，已可以求得與其他液晶研究者模擬的液晶光學特性是一致的。為了獲得外加電場下液晶盒內液晶指向矢的形變結構，我們根據彈性連續體理論對液晶指向矢方程式進行數值分析求解，已可模擬出精確的結果。最後，目前全漏光導模量測系統已成功地架設完成，其量測操作是利用Labview軟體來控制。

Among numerous optical waveguide techniques, the fully leaky guided mode (FLGM) has been become a powerful technique to explore the liquid crystal (LC) director distribution in LC cells. In the FLGM technique, experimental data are measured from reflectivity and transmissivity of an incident polarized He-Ne laser with respect to different incident angle through LC cells. By means of data fitting according to the theory of 4×4 multilayer matrix optics, we can acquire the information of orientational LC directors in the cells without electric filed applied. Meanwhile, we also get the polar anchoring energy in the same fitting method when considering the LC director distribution based on elastic continuum theory.
This thesis mainly studies the measurement of polar anchoring energy of a LC cell using FLGM technique and set up a measurement system. First of all, in order to predict the optical characteristics of a LC cell measured by FLGM technique, we use the 4×4 matrix optical method to simulate the optical characteristics. The simulated results consist with the published results by other research groups. In order to obtain the deformed profile of LC orientational directors in LC cells, we numerically analyze and model the accurate results according to elastic continuum theory. Finally, measurement system of FLGM has been completed and automatically controlled with the Labview software.

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