목차

Chapter 1. Introduction to the dissipative solitons 1
1.1 Generation of dissipative soliton in nonlinear media 2
1.2 Model 5
Chapter 2. Theory of dissipative soliton propagation 7
2.1 Nonlinear Schrdinger equation 8
2.2 Temporal soliton 9
2.3 Spatial soliton 9
2.4 Analogy between temporal and spatial solitons 10
2.5 Split-step Fourier method 12
2.6 FDTD method 14
2.7 Conclusion 15
Chapter 3. Effects of bandpass filtering on the dissipative soliton generation in a passively mode-locked fiber laser 18
3.1 Introduction 19
3.2 Model 20
3.3 Simulation results 33
3.4 Conclusion 39
Chapter 4. Chaotic waves and fractal waves in uniform nonlinear media 42
4.1 Introduction 43
4.2 Model and method 45
4.3 Simulation results 47
4.4 Conclusion 55
Chapter 5. Propagation of a vortex beam with self-similar structures in free-space 57
5.1 Introduction 58
5.2 Theory 59
5.3 Simulation results 61
5.4 Conclusion 65
Chapter 6. Optical vortex soliton propagation in (2+1)-dimensional periodic and random photonic lattices 68
6.1 Introduction 69
6.2 Model 71
6.3 Results 76
6.3.1 Necklace beam propagation in saturable nonlinear media 76
6.3.2 Vortex beam propagation in disordered photonic lattices 85
6.4 Conclusion 106
Chapter 7. Conclusion and future works 111