本論文主要是利用光束傳播法來分析非線性光波導結構的特性及應用。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改變的介質。利用模態定理，覆層、基層為非線性介質的三層光波導可被求解。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的影響。
在非線性光波導結構的應用方面，討論了非線性三層光波導結構和具有局部非線性的馬赫詹德波導干涉儀結構：在非線性三層光波導結構中，藉由對稱及反對稱模態的輸入，各種空間光固子的特性將被發現。利用空間光固子間的交互作用特性，一個全光式開關元件被提出；在局部非線性的馬赫詹德波導干涉儀結構中，藉由控制功率的改變，輸出端顯示出開關特性。此外，改變局部非線性介質的分布，將使其具有數種邏輯功能。數值結果顯示，所提出的光波導結構的確可作為全光式開關及邏輯閘元件的應用。

In the paper, the beam propagation method is used to analyze the characteristics and the applications of nonlinear optical waveguide structures. The nonlinear optical waveguide is a medium whose refractive index changes with the electric field intensity. Based on the mode theory, the propagating envelop of optical light waves in the three-layers nonlinear waveguide with the nonlinear cladding, the nonlinear substrate and the linear guiding film can be solved. Not only the dispersion relation curve is described, but also the affection of input power to the electric field distribution is observed.
In the application of nonlinear optical waveguide structure, the three-layers nonlinear waveguide structure and the local nonlinear Mach-Zehnder waveguide interferometer structure will be discussed: In the three-layers nonlinear waveguide structure, by launching the symmetric and antisymmetric modes, various characteristics of spatial optical solitons will be observed. Based on the interaction property between spatial optical solitons, a new all-optical 1×N switching device will be proposed; In the local nonlinear Mach-Zehnder waveguide interferometer structure, by fixing the input signal power and changing the control power, output signal beam will show the switching property. Besides, by changing the local nonlinear distributions, the nonlinear Mach-Zehnder interferometer will show various logic functions. The numerical results show that the proposed structures could function as all-optical switch devices and all-optical logic gates.

Acknowledgement Ⅰ
Abstract Ⅱ
Contents V
Figure Captions VIII
Table Captions XIX
List of Symbols XX
Chapter 1 Introduction 1
Chapter 2 Basic Theory and Numerical Method 6
2.1 Mode Theory and Dispersion Relation 6
2.2 Beam Propagation Method 16
2.3 Spatial Optical Soliton 18
Figures 20
Chapter 3 Excitation and Interaction of Spatial Optical Solitons in Uniform Nonlinear Medium 41
3.1 Introduction 41
3.2 Numerical Method 42
3.3 Numerical Results 46
3.4 Conclusions 48
Figures 50
Chapter 4 New All-optical Switching Device by Using Interaction Property of Spatial Optical Solitons in Uniform Nonlinear Medium 72
4.1 Introduction 72
4.2 Analysis 74
4.3 Numerical Results 75
4.4 Conclusions 80
Figures 81
Chapter 5 New All-optical Switching Device by Using Local Nonlinear Mach-Zehnder Waveguide Interferometer Structure 99
5.1 Introduction 99
5.2 Analysis 100
5.3 Numerical Results 101
5.4 Conclusions 107
Figures 108
Chapter 6 New All-optical Logic Devices by Using Local Nonlinear Mach-Zehnder Waveguide Interferometer Structure 131
6.1 Introduction 131
6.2 Analysis 132
6.3 Numerical Results 134
6.4 Conclusions 136
Figures 137
Tables 143
Chapter 7 Conclusions 145
References 147

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