一維光子晶體之慢光效應

Abstract

本論文研究一維光子晶體的慢光效應，首先利用電磁波理論，以及轉移矩陣法模擬電磁波在多層介電質中的傳遞行為。本論文模擬了兩種準週期結構的光傳輸特性，並與週期性結構做比較，兩種不同的準週期結構分別為Fibonacci結構與Thue-Morse結構。研究結果顯示準週期結構會有一通帶區的FWHM不會隨階數的增加而有明顯變化，在通帶中心處依然維持著完美穿透，且這範圍裡有穩定平緩的群延遲曲線，其群延遲與DBP會隨階數的增加而增加，與週期性結構有著相似的慢光特性，且效果在同一級數下。還討論了對稱準週期的結構，藉由改變分析的能帶位置與空腔厚度，發現在禁帶的中心處會產生微小的通帶，在這共振點處能得到極大的群延遲時間，並在最後比較了對稱週期結構與對稱準週期結構的群延遲時間。

The main purpose of this thesis is to study the slow light in one-dimension photonic crystal. Firstly, the theory of electromagnetic waves and the transfer-matrix method are used to simulate the transition behavior when electromagnetic waves in dielectric multilayers. Then, two kinds of quasi-periodic structures which are Fibonacci and Thue-Morse are analyzed respectively, and compared with periodic structure. The results turn out that the FWHM vary slightly when increasing generation order. And the flat group delay curve was obtained. Furthermore, the DBP increases as the generation order increases. We found that there are similar characteristics of slow light between those structures, and the storage capacity under the same order. Moreover, by analyzing symmetric structures, the large delay time was obtained.