半無限週期性層狀材料之彈性波特性

Abstract

本論文主要目的在於研究半無限週期性層狀材料之帶隙結構和表面模態的現象，藉由理論分析來觀察通帶、禁帶的分布，以作為往後設計、運用發展的基礎。本文使用傳輸矩陣法來計算半無限週期性層狀材料之色散關係式和表面模態關係式。最後並分別對兩層週期、四層週期層狀的結構特性進行分析，研究結構材料週期性組合，結構寬度變化，覆蓋層的厚度等參數對帶隙結構和表面模態的影響。

The purpose of this article is to research the appearance of band structures and surface modes in semi-infinite periodically layered media. By the analysis, the spread of passing band and forbidden band for the foundation of design is investigated. This article use transfer matrix method to calculate dispersion relation and surface modes in semi-infinite periodically layered media. Finally analyzing characteristics of periodical structures in two-layer and four-layer to research the influence of width, structure, cap layer on band structures and surface modes is presented.