博碩士論文 91236002 詳細資訊


姓名 游政峰(Jeng-Feng You)  查詢紙本館藏   畢業系所 光電科學與工程學系
論文名稱 光子晶體異常折射之研究
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摘要(中) 負折射研究在2003年被科學(Science)雜誌選為十大科技成果之一,而光子晶體是能達成負折射現象的其中一個方法。本論文從光子晶體的基本理論談起,並應用用時域有限差分法(FDTD)於光子晶體發生負折射的頻段,驗證光子晶體的負折射理論。文中比較了理論預測與FDTD模擬結果在幾個情況下的差異性。我們首先改變光子晶體表面,並觀察其對負折射的影響。之後我們探討在負折射的情況下,能流在光子晶體內流動的空間分布特性,以及其與介電質柱之關係。而我們也利用此特性重新解釋了在三角晶格光子晶體中,當電磁波沿 方向入射時,其負折射的異常現象。
關鍵字(中) ★ 負折射
★ 異常折射
★ 光子晶體
關鍵字(英)
論文目次 摘要...................................................................Ⅰ
目錄.................................................................Ⅱ
圖索引...............................................................Ⅳ
第一章 緒論…………………………………………………………………………..1
1﹒1光子晶體的發展…………………………………………………………..1
1﹒2光子晶體的理論工具……………………………………………………..2
1﹒2﹒1平面波展開法……………………………………………………2
1﹒2﹒2時域有限差分法…………………………………………………3
1﹒3負折射的原理………………………………………………………………4
第二章 光子晶體理論架構…………………………………………………………..7
2﹒1光子晶體的概念……………………………………………………………7
2﹒2一維光子晶體的傳輸矩陣法………………………………………………7
2﹒3波動方程式………………………………………………………………...11
2﹒4光子晶體的平面波展開法……………………………………………….13
第三章 FDTD理論架構…………………………………………………………….15
3﹒1馬克斯威爾方程式……………………………………………………….15
3﹒2基本理論………………………………………………………………….15
3﹒3穩定條件………………………………………………………………….17
3﹒4邊界理論………………………………………………………………….18
3﹒4﹒1 Mur邊界理論………………………………………………….19
3﹒4﹒2 Berenger的PML邊界理論…………………………………..20
3﹒5時域有限差分法的二維平面程式……………………………………….25
3﹒5﹒1 Ez、Hx、Hy的計算……………………………………………25
3﹒5﹒2 邊界處理……………………………………………………….28
第四章 光子晶體的負折射研究……………………………………………………32
4﹒1光子晶體的負折射理論………………………………………………….32
4﹒1﹒1光子晶體的負折射理論驗證(正方晶格)…………………..35
4﹒1﹒2光子晶體的負折射理論驗證(三角晶格)…………………..41
4﹒2光子晶體的負折射表面特性探討……………………………………….46
4﹒3光子晶體負折射能流探討……………………………………………….50
4﹒4光子晶體負折射柱子間的電容效應…………………………………….57
第五章 結論…………………………………………………………………………63
參考資料……………………………………………………………………………..66
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指導教授 欒丕綱(Pi-Gang Luan) 審核日期 2005-7-5
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