所謂1D的光子晶體就是光學上常常使用的多層膜，運用在反射鏡、濾波器、鏡頭等等的鍍膜上，其會使經過的電磁波產生干涉現象而出現僅反射或透射某一波段的情形，所以具有濾波的效果。現在1D的光子晶體仍是運用最廣泛的材料，雖然以目前的趨勢來看2D及3D光子晶體具有很大的發展潛力，然而製備上的難度使得其短期之內沒辦法普遍性的使用，所以本篇論文仍以1D的光子晶體作為探討的主軸。雖然目前有關1D光子晶體的模擬已經有很多人研究過了，然而多半是使用真正的一維─也就是假設多層膜平面為無限大的模型，但在半導體工業上其鍍膜平面並不一定無限大！因此我們使用2D的FDTD來模擬1D的金屬與介電層光子晶體，剛好可以探討鍍膜平面其中一維有限的模型，其在半導體工業上具有實際應用價值。另外一個促使我們研究此題目的動機是本實驗室曾經對一維光子晶體有研究基礎，例如早在1991年沈堅昇學長即以金屬或超導體及多層膜的1D光子晶體模型為博士論文，並發表在期刊上[1][2][3][4][5]。去年也有楊勝翃學長以有限差分時域法解析2D光子晶體為碩士論文[6]，所以我們便開始著手於以有限差分時域法解析1D金屬及介電層光子晶體的模擬計算。

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