在這篇論文中，我們將研究三種主題關於Au與兩種介電質薄膜結構的光學特性。在第一個主題中，我們使用轉移矩陣法(TMM)分析〖air/(1/Au/3)〗^N/air。在垂直入射，我們發現在Au厚度增加時光子能隙(PBG)會增寬；固定Au厚度時，我們發現入射角度增加時TE波與TM波的PBG皆會發生偏移，但TE波的PBG則是比TM波寬。第二個主題中，我們使用同樣的方法分析〖air/(1/3)〗^N/Au/〖(3/1)〗^N/air，在金屬γ=0，隨著金屬厚度與入射角度增加時，在PBG上的穿透峰值將會偏移。在垂直入射中，Au厚度增加時穿透峰值將會向右移動；在固定Au厚度中，TE波與TM波皆會隨著角度增加穿透峰值向右偏移，但TE波的偏移量比TM多。第三個主題中，我們也使用同樣的方法分析〖air/Au/(1/3)〗^N/air和air/〖(1/3)〗^N/Au/air。在垂直入射中，我們這兩種結構的PBG並不會受到Au厚度而有偏移或增寬的現象；在固定Au厚度中，此兩結構的TE波會隨著入射角度增加而增寬，TM波則相反。

In this thesis, we shall study the three theme about the optical properties of Au layers and two dielectric layers structures. In the first theme, we used transfer matrix method (TMM) to analyze 〖air/(1/Au/3)〗^N/air. In normal Incident, we could find the photonic band gap (PBG) will be shifted and become wide as the thickness of the Au layers increase. Then, we could find the PBG of TE wave and TM wave will be shifted as the angle of incident increase. But PBG of TE wave is wider than TM wave. In the second theme, we used the same method to analyze 〖air/(1/3)〗^N/Au/〖(3/1)〗^N/air. In normal Incident and γ=0, we could find the transmitted peak will be right shifted as the thickness of the Au layers increase. Then, we could find the transmitted peak of TE wave and TM wave will be right shifted as the angle of incident increase. But TE wave is larger than TM wave. In the third theme, we also used the same method to analyze 〖air/Au/(1/3)〗^N/air and air/〖(1/3)〗^N/Au/air. In normal Incident, we could find the PBG of the two structures are not dependent on the thickness of the Au layers increase. Then Then, we could find the PBG of TE waves of the two structures will become wide as the angle of incident increase, but TM waves are opposite.

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