博碩士論文 92226019 詳細資訊




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姓名 吳健暘(Jian-Yang Wu)  查詢紙本館藏   畢業系所 光電科學與工程學系
論文名稱 光子晶體傳導帶與介電質柱波導之研究
(Study on the conduction band of photonic cryatal and dielectric rods waveguide)
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摘要(中) 本論文以平面波展開法、長波極限法以及多重散射法來研究光子晶體之傳導帶特性,並提出一種新式的波導-介電質柱波導,它是由一列的介電質柱所構成。在適當的頻率下,光的能量會侷限在每根柱子內,很像是光在一個接著一個的共振腔中傳播。此種波導可在許多不同結構下仍然可以有很高的穿透率,並且不像光子晶體波導具有幾何結構上的限制,只能做特定角度的轉彎,任意角度的轉彎對於介電質柱波導是可達成的 。並且相對於傳統介電質波導,可大幅降低轉彎時所需的曲率半徑,相信在未來,此種形式的波導會在光電元件及積體光學中扮演重要的角色。
摘要(英) We propose a new type of optical waveguide that consists of several dielectric rods.
In this new type of optical waveguide, energy will localize in every rod in some frequency, as light propagating in strongly localized cavities. High transmission is observed for various waveguide structures. All angle bends in dielectric rods waveguide can be happened, but photonic crystal waveguide can’t. And it uses less radius of curvature then classical dielectric waveguide. The waveguide may have practical importance for development of optoeletronic components and circuits.
關鍵字(中) ★ 光子晶體傳導帶
★ 介電質柱波導
★ 彎曲波導
關鍵字(英) ★ conduction band of photonic cryatal
★ dielectric rods waveguide
★ bent waveguide
論文目次 摘要..............................................................................................................................Ⅰ
目錄..............................................................................................................................Ⅱ
圖引索..........................................................................................................................Ⅳ
第一章 緒論………………………………………………………………….………1
第二章 光子晶體理論與分析方法……………………….…………………………3
2.1 光子晶體的基本概念……………………………………………………………3
2.2 二維光子晶體之平面波展開法…………………………………………………7
2.2.1二維平面波之波動方程式…………………………………………………..7
2.2.2平面波展開法………………………………………………………………..8
2.3 長波極限………………………………………………………………………..10
2.3.1理論推導與計算……………………………………………………………10
2.3.2光子晶體介質與等效均勻介質之比較……………………………………15
2.4 多重散射法……………………………………………………………………..16
2.5 多重散射法中能流的計算……………………………………………………..24
第三章 介電質柱波導之機制與討論………………………………………………26
3.1傳統介電質波導基本原理介紹…………………………………………………26
3.2介電質柱波導的原理與架構……………………………………………………27
第四章 數值模擬結果………………………………………………………………30
4.1 介電質柱波導和傳統波導的分析比較……………………………………...…30
4.2 介電質柱波導之特性分析與探討……………………………………………...33
4.2.1 能帶結構分析………………………………………………………………33
4.2.2 介電質柱波導傳播特性之研究與討論……………………………………36
4.2.3 錯序( disorder )之分析與討論……………………………………………..45
4.3 介電質柱波導之應用…………………………………………………………...50
第五章 結論與未來發展……………………………………………………………56
參考資料……………………………………………………………………………..59
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[20] A. Sharkawy, S. Shi, D. W. Prather, “Electro-optical switching using coupled photonic crystal waveguides”, Opt. Express 10, 1048 (2002).
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指導教授 欒丕綱(Pi-Gang Luan) 審核日期 2005-7-6
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