臺灣博碩士論文加值系統

光子晶體－光的半導體，在半導體已經高度積體化的今日，許多問題也隨之而產生，而光子晶體正提供了另外一種思維。
光子晶體分為一維（1D）、二維（2D）及三維（3D）三種維度的種類，分別適合應用再不同地方。一維光子晶體是最早被運用在布拉格反射鏡上，二維光子晶體則是目前學術研究成果最為亮眼的，非常適合運用在光波導方面，有助於光路系統的積體化。三維光子晶體則受限於製程的複雜度，使得量產不易，但科技日新月異，一日千里，三維光子晶體將會是未來的明日之星。
目前在實務上的應用包括光子晶體光纖、光子晶體LED以及太陽能電池。前者具有許多較傳統光纖為佳的優點，後兩者則是在能源議題逐漸重要的今日，具有舉足輕重的重要性。
綜觀未來趨勢，起步較晚的光子元件將會逐漸趕上電子元件的發展，而光子晶體則是具備了取代半導體的條件，假以時日，光子晶體將是一顆耀眼的新星。

Photonic crystal – the semiconductor of the light, today when the semiconductor has already highly integrated, a lot of problems are produced, then The photonic crystal is offering another kind of thinking .
The photonic crystals are divided into for the one-dimensional (1D ), two-dimensional (2D ) and three kinds of kinds of linking degree of three-dimensional (3D ), differentiate suitable use or else.
With the place. One-dimensional photonic crystals are used on Bragg reflector earliest, two-dimentional photonic crystals are the most achievement is shown in academic research at present, and is very suitable for the light wave guide , contribute to accumulating the light way system. Three-dimensional photonic crystals is limited because it has some difficult for quantity to produce, but science and technology change with each passing day, and changes with a tremendous pace, three-dimensional photonic crystals will be known A star of tomorrow in the future.
The application on the practice includes photonic crystals opticical fiber , photonic crystals LED and photonic crystals solar cell at present. The former relatively has much more advantages then traditional optic fiber , and the other two is gradually important in energy topic today. Take a broad view of the trend in the future, the photonic crystals component starting later will catch up with the development of the electronic element gradually, the photonic crystals possess replace semiconductor terms, after some time, the photonic crystals will be a dazzling new star .

長庚大學博（碩）士學位論文 指導教授推薦書 i
長庚大學博（碩）士學位論文 口試委員會審定書 ii
長庚大學博碩士紙本論文著作授權書 iii
誌謝 iv
摘要 v
Abstract vi
目錄 vii
圖目錄 x
第一章 導論 - 1 -
第二章 光子晶體簡介 - 3 -
2-1光子晶體簡介 - 3 -
2-2 自然界中的光子晶體 - 4 -
2-3 光子晶體的應用 - 6 -
第三章 光子晶體基礎理論 - 11 -
3-1 Fundamental Maxwell Equations - 12 -
3-2純量Maxwell Equation - 14 -
3-3 有限差分法（FDTD） - 17 -
3-4 解的穩定條件 - 23 -
3-5 吸收邊界值條件（Absorbing Boundary Conditions） - 27 -
3-6平面波展開法 - 31 -
3-6-1 的求法 - 35 -
3-6-2 TE Mode (Transverse-Electric Mode) - 36 -
3-6-3 TM Mode (Transverse-Magnetic Mode) - 38 -
第四章 理論模擬結果與討論 - 40 -
4-1 平面波展開法模擬結果 - 42 -
4-1-1 方形（Square）排列 - 42 -
4-1-2 六角形（Hexagonal）排列 - 48 -
4-1-3 模擬結果分析 - 54 -
4-2 光子晶體正方形晶格排列缺陷模態模擬分析 - 55 -
4-2-1 點缺陷 - 56 -
4-2-2 線缺陷 - 57 -
4-3光子晶體六角形晶格排列缺陷模態模擬分析 - 67 -
4-3-1 點缺陷 - 68 -
4-3-2 線缺陷 - 69 -
4-4 六角形晶格排列分波多工器模擬分析 - 75 -
4-4-1 一對二分波多工器（1 split to 2） - 75 -
4-4-2 一對四分波多工器（1 split to 4） - 77 -
第五章 結果討論與未來展望 - 84 -
參考文獻 - 86 -

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