本論文主要是利用光束傳播法來分析非線性光波導的特性。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。利用模態定理解出導波層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，提出一創新的方式來分析導波層為非線性或局部非線性介質之多層光波導。另一方面，吾人根據所探討之理論提出一全光式開關，並藉由光束傳播法對此一全光式元件做詳盡的分析。

In this paper, we used the beam propagation method to analyze the characteristics of nonlinear optical waveguides. Refractive indexes of media in planar optical waveguides are changed with the electric field intensity called nonlinear planar optical waveguides. We use the modal theory to solve the three-layer planar optical waveguide with the guiding film is nonlinear. We not only obtained dispersion relation curves, but also observed the affections of the input power to field distributions. By the basic theory of this, we proposed a novel method to analyze multi-layer planar optical waveguides with nonlinear or localized nonlinear guiding films.By the theory and novel method we pointed out, on the other hand, we proposed an all-optical switch and analyze the all-optical device by the beam propagation method.

Acknowledge　　　　 I
Abstract II
Contents IV
Figure Catalog VI
Chapter 1 Introduction 1
Chapter 2 Basic Theory and Methods
2.1 Introduction 4
2.2 Modal Theory and Dispersion Relation 5
2.3 Beam Propagation Method 12
2.4 Summary 13
Figures
Chapter 3 Analyzing Multi-layer Optical Waveguides with Nonlinear Films
3.1 Introduction 22
3.2 Analysis Process 24
3.3 Numerical Result and Discussion 30
3.4 Summary 32
Figures
Chapter 4 Analyzing Multi-layer Optical Waveguide with Localized Nonlinear Films
4.1 Introduction 42
4.2 Analysis Process 43
4.3 Numerical Results and Discussion 49
4.4 Summary 52
Figures
Chapter 5 All-optical Serial Switch
5.1 Introduction 72
5.2 Analyzing Process 74
5.3 Numerical Results and Discussion 78
5.4 Summary 80
Figures
Chapter 6 Conclusions 91

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