二維光子晶體全反射帶隙結構之研究

Yi-Hsiang Chuang; 莊壹翔

請用此 Handle URI 來引用此文件： http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/16091

完整後設資料紀錄

DC 欄位	值	語言
dc.contributor.advisor	薛文証
dc.contributor.author	Yi-Hsiang Chuang	en
dc.contributor.author	莊壹翔	zh_TW
dc.date.accessioned	2021-06-07T18:00:43Z	-
dc.date.copyright	2012-08-27
dc.date.issued	2012
dc.date.submitted	2012-08-07
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dc.identifier.uri	http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/16091	-
dc.description.abstract	本文主要以平面波展開法討論二維系統中的不同結構、不同元素變化對於光子晶體全方向能隙所產生的影響。首先，對於二維系統的光子晶體其基本理論做介紹以及平面波展開法在光子晶體能帶分析中的運作方式，而後利用平面波展開法針對不同晶格以及元素探討其不同的能隙特性。而對於每種不同的參數設定，可以發現在其中具有一些相似性及趨勢，而這些特性可以提供在設計元件上很大的助益，能針對不同性能需求很快的找到發生全方向能隙的參數設定。在二維光子晶體中，較典型的晶格型狀可以分為方形晶格、三角形晶格以及蜂巢狀晶格；在結構方面，也可以分成是柱狀或是孔洞結構；極化方式可以分為TE mode以及TM mode;在元素選擇方面，分別討論圓形元素、方形元素以及六角形元素。再來，對於近年來蓬勃發展的複雜形式的單位晶胞定義形式介紹，以及其能帶結構的討論。最後則是提出結論以及未來展望的部分。	zh_TW
dc.description.abstract	The main purpose of this thesis is to observe and discuss the results obtained by changing different structures and elements of two-dimensional photonic crystals using plane wave expansion method (PWEM). First, the basic introduction of photonic crystals and method of calculating the band structures by PWEM will be presented. Then, the discussion of results of different structures and different elements will be introduced. For all kinds of parameters, we discover the familiar characteristics of them, these characteristics can provide benefits when designing is requested. The typical lattices of two dimensional photonic crystals are square lattice, triangular lattice and hexagonal lattice(honeycomb). The structure types can be hole or dielectric rod, the shape of elements can be circle, square and hexagon , and there are also two different kinds of polarization: TE mode and TM mode. Third, introductions of several kinds of complex structures and their band diagrams are presented.	en
dc.description.provenance	Made available in DSpace on 2021-06-07T18:00:43Z (GMT). No. of bitstreams: 1 ntu-101-R98525066-1.pdf: 4831912 bytes, checksum: acc0f8165468a45270a969e259776e7c (MD5) Previous issue date: 2012	en
dc.description.tableofcontents	目錄中文摘要 i 英文摘要 ii 目錄 iii 圖目錄 v 表目錄 viii 符號表 ix 第一章導論 1.1 研究背景與動機 1 1.2 歷史文獻回顧 2 1.3 本文架構介紹 3 第二章光子晶體原理 4 2.1 光子晶體的發展 4 2.1.1 光子晶體能隙 5 2.2 電磁波理論 5 2.3 倒置晶格向量空間 8 2.4 布洛赫理論與平面波展開法 11 2.4.1 布洛赫理論 11 2.4.2 平面波展開法 13 第三章二維光子晶體的能隙特性分析 15 3.1 理論基礎 15 3.1.1 二維統御方程式 15 3.1.2 布里淵區之定義 21 3.1.3 光子能隙大小 22 3.2 各種不同晶格對能隙的影響 23 3.2.1 正方形晶格之能隙特性 23 3.2.1.1 圓形元素 23 3.2.1.2 方形元素 24 3.2.1.3 六角形元素26 3.2.2 三角形晶格之能隙特性 27 3.2.2.1 圓形元素 27 3.2.2.2 方形元素 27 3.2.2.3 六角形元素 28 3.2.3 蜂巢狀晶格之能隙特性分析與綜合比較 29 第四章二維複雜光子晶體結構能隙特性分析 63 4.1 二維複雜光子晶體能隙特性分析 63 4.1.1 Thue-Morse光子晶體結構 63 4.1.1.1 單一元素的Thue-Morse晶格結構 67 4.1.1.2 改變元素形狀的Thue-Morse晶格結構 68 4.1.2 不規則形光子晶體結構 69 4.1.1.1 (4.8.8)結構 70 4.1.1.2 (3.3.4.3.4)結構 71 第五章結論與未來展望 90 5.1 結論 90 5.2 未來展望 91 參考文獻 92
dc.language.iso	zh-TW
dc.title	二維光子晶體全反射帶隙結構之研究	zh_TW
dc.title	Omnidirectional reflection of two-dimensional photonic crystals	en
dc.type	Thesis
dc.date.schoolyear	100-2
dc.description.degree	碩士
dc.contributor.oralexamcommittee	李佳翰,郭鴻飛,林志昌
dc.subject.keyword	光子晶體,全方向反射,光子能隙,能隙結構圖,平面波展開法,	zh_TW
dc.subject.keyword	photonic crystals,omnidirectional reflections,PBG,band structure,plane wave expansion,	en
dc.relation.page	94
dc.rights.note	未授權
dc.date.accepted	2012-08-07
dc.contributor.author-college	工學院	zh_TW
dc.contributor.author-dept	工程科學及海洋工程學研究所	zh_TW
顯示於系所單位：	工程科學及海洋工程學系

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