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研究生: 徐保桔
Bao-Jie Syu
論文名稱: 全方向性光子晶體反射頻譜之計算
The Caculation of Omnidirectional Total Reflection Spetrum in 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: 2010
畢業學年度: 98
語文別: 中文
論文頁數: 37
中文關鍵詞: 光子晶體光子帶隙高反射帶全方向性有效電漿頻率祖魯模型
英文關鍵詞: Photonic Crystal, Photonic Band Gap, high-reflectance range, omnidirectional, effective plasma frequency, Drude model
論文種類: 學術論文
相關次數: 點閱:127下載:0
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  • 光子晶體是一種由兩種不同折率介質交互排列所形成的週期性結構人工介質,而光子晶體最主要的特徵是電磁波在某些頻段範圍不能被傳播出去,而這段範圍稱做光子帶隙(簡稱PBG)。
    在本篇論文我們首先研究三元金屬介電質光子晶體的全方向性光子帶隙,我們發現光子帶隙會被明顯的增大當我們把金屬層夾在兩個介電質層之間當作一個單一周期的三元光子晶體,而我們是根據轉移矩陣法和Drude模型來計算分析我們的理論結果。
    接下來我們研究三元金屬介電質光子晶體的有效電漿頻率,我們發現他的有效電漿頻率會隨著金屬層厚度的改變而有明顯的變動,當金屬層厚度增加,有效電漿頻率會往較短波長的方向移動,而我們的分析是經由Bloch定理而得來的。

    Photonic crystal (PC) is an artificial medium with a periodic structure stacked by alternating two different materials with distinct refractive indices. The main feature of PC is that the electromagnetic waves are prohibited to propagate within a certain frequency range called photonic band gap (PBG).

    In this thesis, we first study the omnidirectional PBG in a ternary metal-dielectric photonic crystal (MDPC). We show that PBG can be significantly enhanced by using metal layer sandwiched by two dielectric layers as a unit period in such a ternary PC. The analysis is made based on the transfer matrix method and the Drude model for the metal.

    Next, we investigate the effective plasma frequency for the ternary MDPC. It is found that effective plasma frequency is strongly dependent on the thickness of the metal layer. That is, it will be moved to the shorter wavelength as the metal thickness increases. In this analysis, the band diagram is also given based on the Bloch theorem.

    Abstract i Acknowledgement ii Contents iii Chapter 1 Introduction 1-1 Literature Review 1 1-2 Motivation of Thesis 2 1-3 Thesis Overview 2 Chapter 2 Theoretical Methods 2-1 Transfer Matrix Method (TMM) 3 2-2 A Single Slab 6 2-3 Matrix Formulation for Multilayer System 8 2-4 Transmittance and Reflectance 9 Chapter 3 BAND GAP EXTENSION IN A 1D TERNARY MDPC 3-1 Introduction 11 3-2 Basic equations 13 3-3 Numerical results and discussion 16 3-4 Conclusion 23 Chapter 4 EFFECTIVE PLASMA FREQUENCY IN A 1D TERNARY MDPC 4-1 Introduction 25 4-2 Numerical results and discussion 26 4-3 Conclusion 29 Chapter 5 Conclusions 31 References 32

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