楔形板式超薄背投顯示器之像差分析

Abstract

在本論文中，利用光束覓跡的技巧，建立了楔形板的數學模型。透過所建立的數學模型，我們仿照一般像差的分析方法來分析像差，並推導出前三階像差的形式。對於楔形板來說，螢幕上某些部分是不會有光到達的，稱之為暗帶。在本論文中不但算出了暗帶發生的位置，而且還使用光學模擬軟體來驗證螢幕對角線比上厚度為20：1的14吋樣本板。最後，我們還分析了楔形板的折射率及頂角的變化對像差所造成的影響。

In this thesis, the mathematical model of the wedge plate is established by the ray tracing skill. The aberration of the wedge plate is derived from this model, and the third order aberrations are computed. In wedge plate, there are some regions that no rays reach, dark zone. In this thesis, the position of dark zone is analytically determined and verified by direct numerical simulation with a software package, TracePro. As an exploration, a 0.7-inch thick plastic acrylic wedge plate that with 14-inch screen diagonal, in which the ratio of the thickness versus the screen diagonal is 1:20, is analyzed. Finally, the influences of the change of wedge vertex angle and refraction index on aberration are also analyzed.