研究生: |
劉正禮 |
---|---|
論文名稱: |
一維及二維光子晶體光學性質之計算 Numerical Studies of Optical Properties of One-Dimensional and Two-Dimensional Photonic Crystals |
指導教授: | 吳謙讓 |
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: | 2009 |
畢業學年度: | 97 |
語文別: | 英文 |
論文頁數: | 79 |
中文關鍵詞: | 光子晶體 |
英文關鍵詞: | Photonic Crystals |
論文種類: | 學術論文 |
相關次數: | 點閱:221 下載:12 |
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本篇論文主要是採用數值模擬的方法,研究一維及二維光子晶體的光學特性及應用。對於一維結構的光子晶體,我們透過轉移矩陣法來計算由超導層、介電層相互交替排列的週期組成,並求得其透射及反射的光學頻譜。利用模擬的結果,我們分析不同的相對週期厚度及入射角度對能帶分佈的影響,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。在處理二維組成的光子晶體時,我們利用平面波展開法探求其能帶結構;並應用時域有限差分法,以光學模擬上常被使用的FDTD套裝軟體,進一步透析其電場、磁場、及能量在光子晶體中的傳播方式,以及各個分量在行進中隨時間和空間的變化。最後,我們將探討光通訊系統中,由光子晶體組成的小尺寸光學元件,例如:二維光子晶體波導、耦合共振光學波導、以及指向耦合器,其特有的電磁特性與相關的光學應用。
In this thesis, we theoretically study the optical properties and their applications for one-dimensional and two-dimensional photonic crystals. In the one-dimensional photonic crystals (1DPCs) we use the transfer matrix method to calculate the transmittance and reflectance spectra for a superconductor-dielectric photonic crystal (SDPC). Based on the calculated results we investigate the photonic band structures as a function of film thickness and the angle of incidence as well. As for the two-dimensional photonic crystals (2DPCs), the optical properties will be explored by not only the plane wave expansion but FDTD method. In the final part, we design some useful two-dimensional photonic devices such as the photonic crystal waveguides (PCWs), coupled-resonator optical waveguides (CROWs), and director couplers (DCs).
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