臺灣博碩士論文加值系統

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.

中文摘要……………………………………………………………………i
英文摘要……………………………………………………………………ii
目錄……………………………………………………………………iii
圖目錄…………………………………………………………………v
表目錄…………………………………………………………………ix
符號表…………………………………………………………………x

第一章 導論…………………………………………………………1
1.1 背景與研究動機………………………………………………1
1.2 文獻回顧………………………………………………………2
1.3 論文架構………………………………………………………3

第二章 週期性材料特性…………………………………………4
2.1晶體結構………………………………………………………4
2.2倒晶格向量……………………………………………………5
2.3晶體繞射條件…………………………………………………7
2.4布里淵區………………………………………………………8
2.5布洛赫定理……………………………………………………9

第三章 層狀週期性結構特性………………………………………15
3.1帶隙結構…………………………………………………………15
3.1.1雙層結構………………………………………………………15
3.1.2多層結構………………………………………………………19
3.2表面模態…………………………………………………………20
3.2.1無覆蓋層………………………………………………………20
3.2.2有覆蓋層………………………………………………………21

第四章 模擬分析與比較………………………………………………27
4.1兩層超晶格帶隙結構分析…………………………………………27
4.1.1寬度變化對帶隙結構的影響……………………………………27
4.1.2材料排列對帶隙結構的影響……………………………………29
4.2兩層超晶格表面模態分析…………………………………………30
4.2.1寬度變化對表面模態的影響……………………………………30
4.2.2材料排列對表面模態的影響……………………………………32
4.2.3覆蓋層厚度變化對表面模態的影響……………………………32
4.3四層超晶格分析………………………………………………………33

第五章 結論與展望………………………………………………………76
5.1 結論……………………………………………………………………76
5.2 未來與展望……………………………………………………………77
參考文獻……………………………………………………………………78

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