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研究生: 蕭添政
Tien-Cheng Hsiao
論文名稱: 光子晶體於濾波器之研究
The Research of Photonic Crystal in Filter
指導教授: 李正中
Cheng-Chung Lee
口試委員:
學位類別: 碩士
Master
系所名稱: 理學院 - 光電科學研究所碩士在職專班
Executive Master of Optics and Photonics
畢業學年度: 96
語文別: 中文
論文頁數: 64
中文關鍵詞: 光子晶體;能帶結構;波長濾波
外文關鍵詞: Photonic Crystal;band structure;wavelength filte
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  • 本論文主要研究二維光子晶體中光波的反射及穿透特性。此二維光子晶體主要是利用電子束微影法(e-beam lithography)製作基板的週期性結構,再鍍上週期性的多層膜,一般稱為自我複製法(autocloning)。利用基板的不同週期的組合與多層膜不同材料與週期來設計波長濾波器。分析時先計算能帶結構,再以時域有限差分法(FDTD)做模擬計算。


    The aim of the present project is to investigate the properties of the reflectance and transmittance in two dimensional photonic crystal. The two dimensional photonic crystal employees e-beam lithography for manufacturing the periodic structure of the substract, followed with periodic multilayer coating; this technique is known with autocloning. Using this principle, the combination of different periodic structures and the different materials and periodic of the multilayer in the substract can be used to design wavelength filter. The wavelength filter was designed by first calculating the bandstructure then simulated with finite difference time domain algorithm.

    目 錄 中文摘要 …………………………………………………………… Ⅰ 英文摘要 ………………………………………………………… II 目錄 ……………………………………………………………… III 第一章 緒論 1-1 研究動機與目的 ………………………………………… 1 1-2 光子晶體簡介 …………………………………………… 2 第二章 理論分析 2-1 FDTD演算法 …………………………………………… 5 2-2 數值穩定性 …………………………………………… 15 2-3 吸收邊界條件 …………………………………………… 16 2-4 Bloch邊界條件…………………………………………… 19 第三章 模擬計算 3-1 計算分析流程 …………………………………………… 22 3-2 FDTD與解析解 …………………………………………… 26 3-3 光子晶體自我複製法之濾波計算與分析 ……………… 29 3-4 有限寬度之濾波設計與分析 ………………………… 41 第四章 結論 …………………………………………………… 50 參考文獻 ……………………………………………………… 51 附 錄 ……………………………………………………………… 53

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