一維光子晶體之拓樸邊緣態

Abstract

本論文研究一維中心對稱週期結構光子晶體的拓樸邊緣態，首先利用麥克斯韋 電磁波理論，以及傳輸矩陣法分析電磁波在中心對稱多層介電結構中的傳輸性 質。本論文模擬中心對稱型週期異質結構、反轉中心對稱型週期異質結構、分析 其能帶圖上反射相位與表面阻抗及特徵電場與拓樸相位之關係，並模擬其穿透率 與慢光效應，模擬結果顯示在中心對稱型週期異質結構下所形成之拓樸邊緣態其 穿透率及慢光效應會隨著厚度比率的改變明顯改變，而在反轉中心對稱型週期異 質結構之慢光效果優於中心對稱型週期異質結構且較不受厚度比率改變之影響。

Topological edge state of one-dimensional photonic crystals with centro-symmetric periodic structure is investigated. Maxwell's electromagnetic wave theory is used to study the behavior of transmission characteristics. Relationship between the reflection phase and the surface impedance are analyzed in the considered structures. The study results show that the better slow light and transmission performance are obtained as the filling factor increases. The use of inverted symmetric periodic hetero-structure is superior to the centro-symmetric periodic hetero-structure in slow light.