臺灣博碩士論文加值系統

光子晶體光纖與傳統光纖在結構上有著本質的區別，在傳輸特性方面有很多顯著的優點，近幾年成為光通信領域的一個熱點。論文主要從理論上分析了光子晶體帶隙光纖的模場與色散特性。
在分析方法上，採用了平面波法與時域有限差分法。利用平面波法我們分析光子晶體帶隙影響導光的條件，在用其結果利用時域有限差分法，分析光子晶體光纖的模場分佈特點，計算了光子晶體光纖的其場值，求解有效模場面積，有效折射率及色散現象。
由計算的結果發現，當原先的空芯光子晶體光纖在其中心空氣纖芯加入一鍍膜，影響其本身在空芯光子晶體光纖的場，由時域有限差分法可知新的光纖結構可以改變模場及有效折射率的值，其新的結構具有改變頻帶及色散的現象的效果。

Photonic crystal fiber (PCF) is quite different from standard optical; fibers in structure and presents many advantages in optical properties, it has attracted much more attentions in recent years. Modal field and dispersion properties of Photonic Band gap PCF have been theoretically studied in this paper.
Plane Wave Method and compact 2D Finite difference Time Domain (Compact 2D FDTD) to analyze the photonic crystal fibe. In this paper, we present PWM to model PBG PCF, the calculate result are proved to answer Photonic band gap. Then using compact 2D FDTD we answer the field ,field intensity effective index and dispersion
From the calculation result,we discovered When the origin structure PCF, we reconstruction the core center of PCF adding the thin layer of low refractive index structure, It will change the field intensity , using Compact 2D FDTD we known the result the structure will effective effect field intensity more then the original structure and the effective index will change its value. The new PCFs would have the Characteristic wide or narrow the Frequency band in transmission the light through the structure

目錄
中文摘要…………………………………………………… i
英文摘要…………………………………………………… ii
誌謝………………………………………………………… iii
目錄………………………………………………………… iv
表目錄………………………………………………………vii
圖目錄……………………………………………………viii
第一章 序論
1.1 光纖技術的現狀與發展………………………………1
1.2 光子晶體光纖簡介……………………………………………4
1.2.1 光子晶體及帶隙概念……………………………4
1.2.2 光子晶體光纖研究的歷史與現狀………………6
1.2.3 光子晶體光纖的兩種導光機制…………………8
1.3 光子晶體光纖數值計算方法簡介…………………………9
1.3.1 轉移矩陣法………………………………………10
1.3.2 平面波法…………………………………………10
1.3.3 時域有限差分法…………………………………10
1.4 論文的研究重點和內容安排……………………………11
第二章 平面波法與時域有限差分法的基本理論………………13
2.1 平面波法（PWM）基本理論…………………………………13
2.1.1 光子晶體結構的週期性……………………………14
2.1.2 布理淵區……………………………………………14
2.1.3 布洛赫定律…………………………………………15
2.1.4 平面波法(PWM )………………………………………16
2.2 時域有限差分法（FDTD）基本理論…………………………21
2.2.1 有限差分法的基本原理…………………………21
2.2.2 三維FDTD方程式………………………………24
2.2.3 數值穩定與數值色散……………………………28
2.2.4 邊界條件…………………………………………29
2.2.5 激勵源設置………………………………………32
2.3 總結…………………………………………………………33
第三章 折射率變換對PBGFs中心缺陷導光的影響……………34
3.1 中心缺陷導光條件理論分析………………………………34
3.2 完整結構PBGFs帶隙結構的計算…………………………35
3.3 包層結構率變化對光子帶隙的影響的模擬結果與分析…38
3.4 總結…………………………………………………………41
第四章 PBGF波導色散特性的計算模擬結果與討論……………43
4.1 PBG-PCF波導色散表達式………………………………43
4.2 PBG-PCF缺陷態頻率及其波導色散的計算方法………44
4.3 PBGFs的材料色散………………………………………53
4.4 PBG-PCF改變缺陷的條件下的影響……………………54
4.5 PBG-PCF 色散特性在DWDM系統中的應用討論…………59
4.6 總結………………………………………………………60
第五章 結論………………………………………………………61

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