反射式超扭轉向列型液晶顯示器(RSTN-LCDs)的出現乃是為了因應可攜式資訊產品的大量應用，以節省大量電力消耗所產生，由於此類型的液晶顯示器出現時間並不久，技術上仍有許多的改善空間有待研究，特別是一些相關設計參數的調配組合，如偏光膜夾角、相位延遲膜旋轉角、液晶cell厚度、液晶複折射率、液晶扭轉角與傾角配向、液晶彈性常數、入射波長與入射角度等，都是從事關於液晶顯示器最佳化設計的研究人員所努力的目標。
本文主要在不考慮動態引流效應(Induced flow)與多層膜反射的複雜計算下，先利用一維Euler-Lagrange方程式，導出液晶的穩態分佈，再利用2x2 Extended Jones matrix method，針對單偏光膜(Polarizer)與相位延遲膜(Phase Retardation film)的反射式超扭轉向列型液晶顯示器的靜態顯示特性與參數搭配作一模擬研究，並於結論提出顯示效果優異的參數組合。

The development of reflective super twisted nematic liquid crystal displays (RSTN-LCDs) is to significantly save electricity power consumption in portable information products. However, there is still much room for improvement of optical characteristic and performance, especially in some parameter adjustment. For example, elastic constants, polarization angle of polarizer, the thickness of liquid crystal cell, birefringence of liquid crystal, twisted and tilt angles of liquid crystal, and rotation angle of retardation film are the most important of all.

In this thesis, the effect of the induced flow and the multiple layer reflection are not taken into account in numerical calculations. By using one- dimensional Euler-Lagrange equation, the static state director distribution of liquid crystal is obtained first. 2x2 Extended Jones matrix method is then applied to analyze the viewing characteristics of RSTN-LCDs consisting of one input polarizer and redartation film. In the summary, we recommend some parameter values for RSTN-LCDs to achieve higher performance in practical applications.

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