本篇論文旨在討論介電質光子晶體的反射性質，共有四大主題。第一，吾人藉由不同材料，來探討其橫向電波與橫向磁波的最大反射差，並找出其對應的入射角。第二，我們利用串接法來擴大一維光子晶體的全方向反射區域，並透過不同的串接排序，試圖找出最有效的擴大方式。其次，我們利用量子井來擴大一維光子晶體的全方向反射區域，我們發現透過這樣的方法，確實可以達到擴大的效果，但是有其極限。最後，同樣是利用量子井的概念，一維光子晶體可以設計出多通道濾波器，藉以使用在通訊系統上。

We studied the reflection properties of dielectric photonic crystals, and there are totally four topics in this thesis. First, we used different interfaces to study the maximum reflectance difference of s- and p- polarizations, and we also found the relative incident angles. Second, we enlarged the omni-directional reflection range by cascading one dimensional photonic crystals, and we used different order of ranking photonic crystals to find the most effective order to enlarge the range. Third, we extended the omni-directional reflection range by adding photonic quantum well structure. Although one can broaden the omni-directional reflection range by adding photonic quantum well, we found this method has limitation. Finally, we used photonic quantum well structure to design filter. We found that the number of confined states is equal to the number of the added layers, and it could be useful in communications.

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