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研究生:李俊儒
論文名稱:一維單負材料光子晶體之計算
論文名稱(外文):Numerical Studies of Optical Properties of One-Dimensional Single-Negative(SNG) Material Photonic Crystals
指導教授:吳謙讓
學位類別:碩士
校院名稱:國立臺灣師範大學
系所名稱:光電科技研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2014
畢業學年度:102
語文別:中文
論文頁數:33
中文關鍵詞:一維單負材料
外文關鍵詞:One-Dimensional Single-Negative(SNG) Material
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本篇論文主要是採用數值模擬的方法,研究一維單負材料光子晶體的光學特性及應用。首先我們研究單負雙層結構透射性質的研究,另外對於一維結構的光子晶體,我們透過轉移矩陣法來計算由正、負折射率之介質相互交替排列的周期組成,並求得其透射的光學頻譜。利用模擬的結果,我們分析在負折射率材質用不同的介電常數、導磁濾常數及層數對透射率的變化;進一步歸納出各個變量在整體的結構中,所可能扮演的角色及造成的效應。
In this thesis, we numerical study the optical properties for the photonic

crystals made of single-negative materials. We use the transfer matrix

method to calculate the transmission for the one-dimensional photonic

systems. The first we study is the layered structure made of ENG-MNG

bilayer structure. The transmission properties have been investigated as

a function of static parameters of the permittivity and permeability. In

the second part, we have extend our study to the negative-index

material, i.e., a photonic crystal made of NIM and PIM. We have

investigated the defect modes in this structure. The analysis of defect

modes can be informative to the design of optical filter.

第一章 導論………………………………………… 01

第二章 理論方法
2-1轉移矩陣法………………………………………………03
2-1-1 單層介質的動態矩陣………………………………………… 03
2-1-2 單層轉移矩陣………………………………………………… 06
2-1-3 多層轉移矩陣………………………………………………… 08
2-1-4 透射率與反射率………………….……………………………11

第三章 單負材料(SNG)光學性質之研究
3-1簡介………………………………………………………13
3-2 基本方程式……………………………………………15
3-3 數值結果與討論……………………………………… 16
3-3-1 ENG的多層膜結構………………………………………………16
3-3-2 ENG-MNG的多層膜結構…………………………………………17




第四章 缺陷模態(defect mode)
4-1簡介………………………………………………………21
4-2基本方程式………………………………………………21
4-3數值結果與討論…………………………………………23
4-3-1非對稱型……………………………………………………… 23
4-3-2對稱型………………………………………………………… 25

第五章 結論…………………………………………28

參考文獻………………………………………………29

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