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研究生: 李長青
Lee, Chang-Ching
論文名稱: 一維電漿光子晶體光電性質之研究
Analysis of Optical Properties in One-dimensional Plasma Photonic Crystals
指導教授: 吳謙讓
Wu, Chien-Jang
學位類別: 碩士
Master
系所名稱: 光電工程研究所
Graduate Institute of Electro-Optical Engineering
論文出版年: 2012
畢業學年度: 100
語文別: 中文
論文頁數: 55
中文關鍵詞: 電漿光子晶體多通道濾波器
英文關鍵詞: plasma photonic crystals, multichannel transmission filter
論文種類: 學術論文
相關次數: 點閱:91下載:0
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  • 在本論文中,我們研究了在一維電漿光子晶體(Plasma Photonic Crystals , PPCs)的光學性質。這裡將涉及兩個主題。第一個主題是探討二元和三元電漿光子晶體的有效電漿頻率。有效電漿頻率的數值計算是基於光子能帶結構。我們將分析電子密度、介電層的厚度、電漿層的厚度做為有效電漿頻率的函數。我們也把結果與有效的介質理論做比較。在第二個主題中,我們考慮將頻率操作在低於電漿頻率的有限電漿光子晶體。我們發現,這種結構可用於多通道濾波器設計。通道數等於N-1個,其中N為週期數。這是在微波應用中使用的多通道。

    In this thesis, we study the optical properties in the one-dimensional plasma photonic crystals (PPCs). Two topics will be involved here. The first topic is to investigate the effective plasma frequency for the binary and ternary PPCs. The effective plasma frequency is extracted based on the calculated photonic band structure. We analyze the effective plasma frequency as a function of electron concentration, thickness of dielectric layer, and the thickness of plasma layer. We also compare the results with the effective medium theory. In the second topic, we consider the finite PPC operating at frequencies below the plasma frequency. We find that this structure can be used to design a multichannel transmission filter. The number of channels is equal to N-1, where N is number of periods. This multichannel channel is of use in the microwave applications.

    中文摘要 i Abstract ii 致謝 iii 目錄 iv 圖目錄 vi 第一章 導論 1 1-1前言 1 1-2光子晶體的歷史 1 1-3光子晶體的應用 3 1-4研究動機 3 1-5論文概述 3 參考文獻 4 第二章 計算方法 5 2-1轉移矩陣法(TMM)原理 5 2-1-1單層介質的動態矩陣 5 2-1-2單層轉移矩陣 8 2-1-3多層轉移矩陣 10 2-1-4反射率及透射率 12 2-1-5能帶結構 13 2-2電漿電磁波的性質 18 2-2-1電漿簡介 18 2-2-2電漿在無外加直流磁場作用 18 2-2-3電漿在外加直流磁場作用 19 第三章 一維電漿光子晶體的有效電漿頻率的研究 23 3-1導論 23 3-2基本方程 25 3-3數值結果與討論 28 3-3-1二元PPC的有效等離子體頻率 28 3-3-2三元PPC的有效電漿頻率 33 3-3-3有損耗的有效等離子體頻率 35 3-4結論 36 參考文獻 38 第四章 一維多通道電漿光子晶體的研究 41 4-1導論 41 4-2基本方程 42 4-3數值結果與討論 43 4-4結論 53 參考文獻 54 第五章 結論 55

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