本論文主要是在積體光學領域中，以光波導來設計功率分光器之研究。筆者在論文中提出了兩種以多模干涉原理為基礎所設計之一對二功率分光器。第一種分光器主要的特徵在多模態區域具有橫向漸變式折射率分布，與傳統的階梯式折射率分布元件不同的是，這種具橫向漸變式折射率之多模干涉功率分光器，所支持的特徵模態，其傳播常數為模態階數之完美二次多項式，因此，以這種橫向漸變式折射率為基礎所設計的多模干涉元件不會有傳統上階梯式折射率所困擾之相位誤差，可降低元件的能量損失或應用於對相位要求嚴格之系統，具有優於傳統設計的效能表現。第二種所提出之分光器主要的特徵為斜向配置之輸入、輸出波導，利用多模干涉元件所具有的二重成像性質中，其兩輸出場分別為輸入場之複製與鏡像的性質。因此，當輸入場為斜向輸入時，輸出場可自動擁有朝不同方向斜向前進的特性，可達成分光器所要求之大角度、低損失的目的。而這種自動擁有斜向輸出波導特性之分光器在多級串階的系統中，更有節省系統長度與降低能量損失等優點。

第一章 導論 1
1-1 積體光學簡介 1
1-2 研究動機與論文內容 1
第二章 多模干涉自我成像理論 3
2-0 前言 3
2-1 自我成像原理 3
2-2 一般干涉 9
2-3 對稱干涉 11
2-4 成對干涉 12
2-5 相位誤差分析 13
第三章 具橫向漸變式折射率之多模態干涉分光器 16
3-0 前言 16
3-1 相位誤差的來源分析 16
3-2 理論推導 17
3-3 數值分析 19
3-4 對稱干涉與成對干涉 22
3-5 滿足d=2折射率分布之存在性 22
3-6 結論 23
第四章 具斜向輸入波導之多模干涉分光器 25
4-0 前言 25
4-1 原理 26
4-2 一般干涉 27
4-3 波導折射率結構 28
4-4 數值方法 29
4-5 設計流程 29
4-6 模擬結果與討論 31
4-7 成對干涉 33
4-8 多級串接 34
4-9 討論 36
第五章 總結與討論 38
附圖 40
參考文獻 79

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