本論文主要是利用光束傳播法和波導光學模擬光波導軟體系統來分析非線性光波導結構的特性。非線性光波導是指光波導結構中含有折射率會隨電場強度而改變的介質。利用模態定理解出覆層和基層均為非線性介質的三層光波導。不僅繪出了此結構的色散曲線圖，也從中觀察到輸入功率對電場分佈情形的影響。並以此為基礎，提出一般性的數學方程式來分析覆層和基層均為非線性介質，並且含有週期性折射率的多層對稱式非線性光波導結構。
又根據非線性色散關係來討論的導波層輸入功率及有效折射率的關係，探討非線性界面光波導產生空間光固子熔{象。並提出一光固子耦合器與具回授控制的光開關。也分析二對三分支的結構，且將非線性介質加入其中探討其中所產生的特性，做光邏輯閘與光開關分析。

In this paper，we use both beam propagation method and BPM_CAD to analysis the characteristics of nonlinear optical waveguide structures. The refractive index of optical waveguide medium changes with field intensity called nonlinear optical waveguide. We use Mode Theory to solve three layers optical waveguide. There are nonlinear cladding, substrate layers and linear film. Not only find the disperson relation curve, but also observe the affections of the input power to field distribution. With the help of this, we propose a general math method to analysis symmetric muti-layer optical waveguide with periodic index that both cladding and substrate are nonlinear.
According to the nonlinear dispersion relation we consider both the affections of the input power to refractive index in the film and space soliton at nonlinear interface. We propose a optical coupler and feed-back optical switch. And also, we analysis 2×3 branches optical waveguides by changing their media to nonlinear media. According to the result, we find that they have both logic function and optical switch.

目 錄
誌 謝 Ⅰ

摘 要 Ⅱ

目 錄 Ⅳ

表 目 錄 Ⅵ

圖 目 錄 Ⅶ

符 號 表 XI

第一章 導論 1

第二章 基本原理和數值模擬 5

2.1 模態定理和色散關係式 5

2.2 光束傳播法和波導光學模擬光波導軟體系統 9

附圖 13

第三章 非線性對稱多層光波導結構的分析 25

3.1 前言 25

3.2 理論分析 25

3.3 數值結果驗證 27

3.4 結論 30

附圖 31

第四章 非線性光波導元件 55
4.1 前言 55

4.2 空間孤粒子 56

4.3 數值結果與分析 57

4.3-1 光耦合器 57

4.3-2 光開關 59

4.4 結論 60

附圖 61

第五章 局部非線性之2×3分支光波導結構 73

5.1 前言 73

5.2 操作原理 74

5.3 數值結果與分析 75

附圖 79

附表 94

第六章 總結 95

6-1 結論 95

6-2 未來展望 96

附錄 98

參考文獻 105

中英對照表 114

作者簡歷 116

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