Dissipative Optical Solitons

Contents
Contributors
Chapter 1: Dissipative Optical Solitons: An Introduction
	1.1 Solitary Waves
	1.2 Solitons in Optical Fibers
	1.3 The Complex Ginzburg-Landau Equation
	1.4 Dissipative Solitons
	1.5 Dissipative Soliton Molecules
	1.6 Recent Experimental Results on Pulsating Dissipative Solitons
	References
Chapter 2: Dissipative Solitons in Passively Mode-Locked Lasers
	2.1 From Solitons to Dissipative Solitons in Ultrafast Lasers
		2.1.1 Early Advances Toward Soliton Lasers
		2.1.2 Reconsidering the Value of Dissipation in Lasers
	2.2 Signatures of Dissipative Soliton Dynamics
	2.3 Dissipative Soliton Molecules
		2.3.1 The Wealth of Soliton Interaction Processes Within a Laser Cavity
		2.3.2 From Stationary to Pulsating Soliton Molecules
	2.4 Toward Incoherent Dissipative Solitons
	2.5 Summary and Prospects
	References
Chapter 3: Dissipative Soliton Buildup Dynamics
	3.1 Introduction
	3.2 Conventional Soliton Buildup Dynamics in an Anomalous Dispersion Fiber Laser
	3.3 Dissipative Solitons Buildup Dynamics in a Normal Dispersion Fiber Laser
	3.4 Dissipative Soliton Buildup Dynamics in a Bidirectional Fiber Laser with Net-Normal Dispersion
	3.5 Buildup Dynamics of Dissipative Soliton Molecules
	3.6 Conclusion
	References
Chapter 4: Dissipative Soliton Resonance
	4.1 Introduction
		4.1.1 Numerical Approach: Propagation in an Oscillator with a Saturable Absorber (SA)
		4.1.2 DSR Pulses in Passively Mode-Locked Fiber Lasers
			4.1.2.1 Experimental Features of DSR Pulses
			4.1.2.2 Control of Pulse Characteristics in Dual-Amplifier Configuration
	4.2 Multi-pulsing Instabilities in DSR Regime
	4.3 Chapter Summary
	References
Chapter 5: Ultra-Short High-Amplitude Dissipative Solitons
	5.1 Introduction
	5.2 The Cubic-Quintic Complex Ginzburg-Landau Equation
	5.3 Soliton Perturbation Theory
	5.4 Method of Moments
	5.5 Very-High Amplitude CGLE Solitons
	5.6 Effects of Dispersion
	5.7 Impact of Higher-Order Effects
		5.7.1 Results of the Soliton Perturbation Theory
		5.7.2 Linear Stability Analysis
		5.7.3 Numerical Results
	5.8 Conclusions
	References
Chapter 6: Vector Dissipative Solitons
	6.1 Introduction
	6.2 DS Trapping in Fiber Lasers
	6.3 Various Forms of VDSs
		6.3.1 High-Order VDSs
		6.3.2 Dark-Bright VDSs
		6.3.3 Vector Soliton Molecules
		6.3.4 Vector Noise-Like Pulses
	6.4 Real-Time Dynamics of VDSs
		6.4.1 Dispersive Fourier Transform Based Polarization Resolved Analysis
		6.4.2 Real-Time Polarization Dynamics of VDSs
		6.4.3 Pulsation of VDSs
	6.5 Conclusions
	References
Chapter 7: Dynamics of Pulsating Dissipative Solitons
	7.1 Introduction
	7.2 Theory of Pulsating Dissipative Solitons
		7.2.1 Numerical Analysis of Pulsation Dynamics
		7.2.2 Semi-Analytical Analysis of Pulsation Dynamics
	7.3 Transient Behaviors of Pulsating Dissipative Solitons
		7.3.1 Stationary Soliton
		7.3.2 Single-Period Pulsating Soliton
		7.3.3 Double-Period Pulsating Soliton
		7.3.4 Periodic Soliton Explosion
		7.3.5 Multi-Soliton Synchronous Pulsation
		7.3.6 Pulsating Soliton Molecule
		7.3.7 Multi-Soliton Asynchronous Pulsation
	References
Chapter 8: Raman Dissipative Solitons
	8.1 Introduction
	8.2 Principle of Generation
	8.3 Simulation
	8.4 Brief Theory
	8.5 Applications
	References
Chapter 9: L-Band Wavelength Tunable Dissipative Soliton Fiber Laser
	9.1 Introduction
	9.2 Laser Design
	9.3 Methods of Wavelength Tuning
		9.3.1 Wavelength Tuning Based on Spectral Birefringence Filter with 45Tilted Fiber Grating
			9.3.1.1 Laser Setup and Device Characteristics
			9.3.1.2 Experimental Results and Discussions
		9.3.2 Wavelength Tuning Based on Tunable Filter with Fiber Taper
			9.3.2.1 Laser Setup and Device Characteristics
			9.3.2.2 Experimental Results and Discussions
		9.3.3 Wavelength Tuning Based on Cavity Loss Control with Commercial Mechanical VOA
			9.3.3.1 Laser Setup and Device Characteristics
			9.3.3.2 Experimental Results and Discussions
		9.3.4 Wavelength Tuning Based on Cavity Loss Control with Taper-Type VOA
			9.3.4.1 Laser Setup and Device Property
			9.3.4.2 Experimental Results and Discussions
		9.3.5 Comparison with Different Wavelength Tuning Methods
	9.4 Conclusion
	References
Chapter 10: Multiplexed Dissipative Soliton Fiber Lasers
	10.1 Introduction
	10.2 Bidirectional Multiplexed Dissipative Soliton Fiber Lasers
		10.2.1 SESAM
		10.2.2 CNT
		10.2.3 Graphene
		10.2.4 NPR
		10.2.5 Hybrid
	10.3 Wavelength Multiplexed Dissipative Soliton Fiber Lasers
	10.4 Polarization Multiplexed Dissipative Soliton Fiber Lasers
	10.5 Conclusion and Outlook
	References
Chapter 11: Multi-soliton Complex in Nonlinear Cavities
	11.1 Introduction
	11.2 Multi-soliton Complex in Mode-Locked Fiber Lasers
		11.2.1 Multi-soliton States in Mode-Locked Lasers and Their Interaction
			11.2.1.1 Soliton Molecule
			11.2.1.2 Pulse Bunching and Harmonic Mode-Locking
			11.2.1.3 Other States
		11.2.2 Rapid Measurements of Multi-soliton Dynamics in Mode-Locked Fiber Lasers
			11.2.2.1 Multi-soliton in Spatiotemporal Mode-Locked Fiber Lasers
	11.3 Mutli-soliton Complex in Microcavities
		11.3.1 Basic Principle of Coherently Pumped Solitons
		11.3.2 Multi-soliton States and Their Interactions in Microcavities
			11.3.2.1 Dispersive Wave Emission in Microcavities
			11.3.2.2 From Soliton Molecules to Soliton Crystals in Microcavities
			11.3.2.3 Multi-soliton State Using Advanced Pumping Schemes
	11.4 Summary and Discussions
	References
Chapter 12: Dissipative Solitons in Microresonators
	12.1 Introduction
	12.2 Modeling
		12.2.1 Higher-Order Dispersion
		12.2.2 Raman Effect
	12.3 Dispersion Engineered Cavity Dynamics
		12.3.1 Capabilities of Dispersion Engineering
		12.3.2 Advanced Control of Dissipative Soliton Dynamics
		12.3.3 Novel Phenomena in Dispersion-Tailored Microring Resonators
	12.4 Soliton Comb Generation Schemes
		12.4.1 Frequency Scanning
		12.4.2 Power Kicking
		12.4.3 Thermal Tuning
		12.4.4 Self-Injection Locking and Laser-Based Configurations
	12.5 Nonlinear Dynamics of DKS
	12.6 Applications
	References
Chapter 13: Vector Vortex Solitons and Soliton Control in Vertical-Cavity Surface-Emitting Lasers
	13.1 Introduction
	13.2 Mechanism of Bistability in Lasers with Frequency-Selective Feedback
	13.3 Vector Vortex Solitons
		13.3.1 What Are Vector Vortex Beams?
		13.3.2 Experimental Setup
		13.3.3 Principle Observations
		13.3.4 Complex Hysteresis Loops
		13.3.5 Influencing Polarization Selection by Intra-Cavity Waveplates
		13.3.6 Interpretation
	13.4 Flip-Flop Operation of Laser Cavity Solitons
		13.4.1 Soliton Control in Systems with and Without Holding Beams
		13.4.2 Experimental Setup
		13.4.3 Experimental Results
	13.5 Conclusions and Outlook
	References
Chapter 14: Discrete Solitons of the Ginzburg-Landau Equation
	14.1 Introduction
	14.2 The Model and Linear Dispersion Relation
	14.3 Dissipative Solitons of the DGLE
	14.4 Saturable Nonlinearity and MI Analysis
	14.5 Exact Dissipative Discrete Soliton Solutions
	14.6 Conclusion
	References
Chapter 15: Noise-Like Pulses in Mode-Locked Fiber Lasers
	15.1 Introduction
	15.2 Examples of NLP Lasers
	15.3 Mechanisms of NLP Formation
		15.3.1 Effect of Cavity Birefringence
		15.3.2 Soliton Collapse Due to Reverse Saturable Absorption
		15.3.3 Raman-Driven NLP
		15.3.4 NLP Formation in Amplifiers
	15.4 Dynamics, Coherence and Stability of NLP Lasers
	15.5 Applications of NLP Lasers
		15.5.1 Metrology
		15.5.2 Spectroscopy
		15.5.3 Spectral Broadening and Supercontinuum Generation
		15.5.4 Optical Coherence Tomography
		15.5.5 Nonlinear Microscopy
	15.6 Summary
	References
Chapter 16: Dissipative Rogue Waves
	16.1 Introduction
		16.1.1 Rogue Waves in the Oceans
		16.1.2 Introduction of Optical Rogue Waves
		16.1.3 Real-Time Techniques for Observing Optical Rogue Waves
			16.1.3.1 Dispersive-Fourier-Transform-Based Ultrafast Spectroscopy
			16.1.3.2 Time Magnifier
	16.2 Dissipative Rogue Waves
		16.2.1 Rogue Waves in Dissipative Systems
		16.2.2 Dissipative Rogue Waves in Ultrafast Lasers
		16.2.3 Dissipative Rogue Waves in Microresonators
		16.2.4 Dissipative Rogue Waves in Extended Systems
		16.2.5 Optical Polarization Rogue Waves
	16.3 Generating Mechanisms of Dissipative Rogue Waves
		16.3.1 Two Interpretations
		16.3.2 Are the Dissipative Rogue Waves Predictable?
	References