臺灣博碩士論文加值系統

本文採用有限元素法分析高雙折射與低損耗之數值模型導模光子晶體光纖，並且與其它結構相比。數值模型採用一個包層的橢圓形空氣孔與修改的核心和實心二氧化矽(SiO2)包層兩個半大小的空氣孔。模擬結果證實，此結構在入射波長λ=1550nm處有極高的雙折射差(2.085×10-2)和超低限制損耗(1.63×10-5dB/km)。本文針並對這種設計的優點，通過減少空氣孔或者其中兩個靠近纖蕊的方式，作一有系統的探討與研究。

A high birefringence and low loss of index-guiding photonic crystal fiber (PCF) is proposed and compared to other structures using the finite element method. The proposed structure is composed of a cladding with modifying elliptical air holes and a core of solid silica surrounded with two half-size air holes. Numerical results confirm that the proposed structure at the excitation wavelength of λ= 1550 nm provides extremely high birefringence (~2.085×10-2) and ultralow confinement loss (<1.63×10-5dB/km). The merit of the designed PCFs is that the high birefringence and low confinement loss can be easily achieved by reducing two air holes which are near the fiber core.

中文摘要…………………………………………………………………………i
英文摘要…………………………………………………………………………ii
誌謝………………………………………………………………………………iii
目錄………………………………………………………………………………iv
表目錄……………………………………………………………………………vi
圖目錄……………………………………………………………………………vii

第一章 簡介………………………………………………………………………1
1.1 前言…………………………………………………………………………1
1.2 光子晶體簡介………………………………………………………………2
1.3 光子晶體光纖簡介…………………………………………………………4
1.4 研究動機與文獻回顧………………………………………………………5
1.5 本文架構……………………………………………………………………7

第二章 數值理論………………………………………………………………9
2.1 光纖傳播理論……………………………………………………………9
2.2 有限元素法………………………………………………………………11
2.2.1 基本概念………………………………………………………………11
2.2.2 形狀函數………………………………………………………………12
2.2.3 內插函數………………………………………………………………13
2.2.4 有限元素法計算光子晶體光纖………………………………………15
2.2.5 完美匹配層……………………………………………………………17

第三章 光子晶體光纖性質………………………………………………… 21
3.1 單模特性…………………………………………………………………21
3.2 雙折射性…………………………………………………………………22
3.3 光纖損耗…………………………………………………………………22

第四章 高雙折射與低損耗之光子晶體光纖設計………………………… 24
4.1 矩形晶格光子晶體光纖之模擬分析………………………………… 24
4.1.1 設計結構與討論…………………………………………………… 24
4.1.2模擬結果………………………………………………………………25
4.1.3小結…………………….…………………………………………… 29
4.2 三角形晶格光子晶體光纖之模擬分析……………………………… 29
4.2.1 數值模型…………………………………………………………… 29
4.2.2 模擬結果…………………………………………………………… 30
4.2.3 改善數值模型……………………………………………………… 33
4.2.4 模擬結果證明……………………………………………………… 34
4.2.5 小結………………………………………………………………… 37

第五章 結論……………………………………………………………… 38
參考文獻……………………………………………………………………39
簡歷…………………………………………………………………………43

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