中 文 摘 要
光纖通訊產業是現今熱門的新興產業之一，從1970年代起即有無數先進為此領域的研究貢獻出許多心力，在此領域的研究項目中，如何提高雷射與光纖的耦合效率一直是眾所關心的問題之一，而這也正是本篇論文所要探討的方向。
本論文中我們先建立二維的理論結構來模擬雷射二極體與單模光纖的耦合系統，然後採取頻域積分方程和模態匹配法配合電介質波導理論來模擬雷射二極體與光纖間耦合的機制並推導出耦合積分方程。透過這樣的方式，我們可以很嚴謹的模擬光在耦合系統中傳播時於不連續介面所產生複雜的散射現象，這也是一般所使用的光束傳播法所做不到的，而由這種嚴謹的數值方法，可以使我們清楚的看到光波場量在耦合系統中的變化情形，並探討一些系統結構如平面光纖、錐形光纖、雷射與光纖的間距等等對耦合效率的影響，最後從幾個例子中得到平面光纖在距離雷射10倍波長時有最好的耦合效率值，而錐形光纖在錐角10度、頭端曲率半徑為1μm且距離雷射0.5μm時有最好的耦合效率值0.8581。

Abstract
Optical fiber communications have been become one of the most popular researches since 1970s. In this field, there are many studies on the coupling between semiconductor lasers and fibers and many conclusions are demonstrated.
In this thesis we build a 2-D numerical model to simulate energy coupling between laser diodes (LDs) and tapered optical fibers. Our model is based on the spectral domain integral equation (SDIE) formulation which is derived from Maxwell equations and the principle of mode matching.
Through this numerical model we will be able to show the field distribution in LD waveguide junctions. We may also use this tool to study the coupling parameters such as the separation distance and tapered fiber geometry.

目錄
頁次
誌謝 I
摘要 II
內容目錄 IV
圖表目錄 V
第一章、導論 1
1.1：簡介 1
1.2：馬克思威爾方程式 4
第二章、平行層電介質波導 7
2.1：平行層電介質波導理論 7
2.2：TE模態理論推導 11
第三章、雷射與平面光纖間之耦合 24
3.1：模型建立與TE模態理論推導 24
3.2：數值分析結果 32
第四章、雷射與錐形光纖間之耦合 37
4.1：模型建立與TE模態理論推導 37
4.2：數值分析結果 40
第五章、結果與討論 48
Reference 50
中英對照表 52

Reference
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