臺灣博碩士論文加值系統

中文提要：
對於等邊三角形結構的3x3光纖耦合器而言，根據純量耦合模態理論的分析結果顯示，當光由其中一個輸入埠輸入時，由於耦合器結構所具有的對稱性，其非輸入光之另外兩個埠的輸出功率將會相等。然而，數個學術論文的量測結果卻顯示出這兩個埠的輸出功率並不相等。本篇論文將提出一套適用於分析極化輸入光的功率耦合模型。經由這個模型的分析結果顯示出，當一極化光入射於其中一個埠時，另外兩個埠的輸出功率將不會相等，此現象與量測結果相符。

Abstract：
Scalar coupled mode theory predicts that the output powers at two nonlaunch fibers are identical for the equilateral 3x3 fiber couplers due to the geometrical symmetry, but several experimental results demonstrate that they are not equal. In this work, a power coupling model with considering the polarization property of input power is proposed for the equilateral 3x3 fiber couplers. Consistent with the measurement results, the model shows that when a polarized light is launched into one of the three fibers the output powers at the other two nonlaunch fibers are unequal.

目錄
第一章序論……………………………………………………………………….1
1.1 研究目的與背景…………………………………………………………..1
1.2 論文大綱…………………………………………………………………..2
第二章表面積分法…………………………………………...…………………..4
2.1 概述………………………………………………………………………..4
2.2 理論推演…………………………………………………………………..4
2.3 數值程序…………………………………………………………………...6
第三章弱燒融式等邊三角形3x3光纖耦合器之三維模型……………………11
3.1 概述………………………………………………………………………...11
3.2 導波模態之傳播常數與向量場型………………………………………...11
3.2.1 正規化傳播常數與正規化頻率…………………………………….12
3.2.2 正規化傳播常數與燒融程度……………………………………….13
3.3 功率關係式的建立………………………………………………………...13
3.4 模擬與量測的比較………………………………………………………...18
第四章對於各種極化輸入光之功率耦合特性分析……………………………..29
4.1 概述………………………………………………………………………...29
4.2 線性極化入射光…………………………………………………………...29
4.2.1功率耦合對入射光極化角的相依性………………………………..30
4.2.2功率耦合與燒融程度的相依性……………………………………..32
4.2.3功率耦合曲線與加熱區域長度的關係……………………………..33
4.3 橢圓極化入射光與圓形極化入射光……………………………………...34
4.4 總結………………………………………………………………………...36
第五章結論………………………………………………………………………..53
附錄A 等邊三角形3x3光纖耦合器中電場與磁場的關係…………………….54
附錄B 弱燒融式等邊三角形3x3光纖耦合器功率關係式的推導…………….56
附錄C以耦合模態方程式(coupled-mode equations)為基礎所推導的功率關係
式…………………………………………………………………………..62
附錄D 等邊三角形3x3光纖耦合器的製作…………………………………….65
參考文獻……………………………………………………………………………..70

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