Nonlinear fiber optics / 4th ed.

Preface
1 Introducdon
1.1 Historical Perspective
1.2 FiberCharacteristics
1.2.1 Matedal and Fabrication
1.2.2 Fiber Losses
1.2.3 Chromatic Dispersion
1.2.4 Polarization.Mode Dispersion
1.3 FiberNonlinearities
1.3.1 NonlinearRefraction
1.3.2 Stimulated Inelastic Scattering
1.3.3 Importance of Nonlinear Effects
1.4 0verview
Problems
References

2 ndsc Propagation in Fibers
2.1 Maxwell’S Equations
2.2 FlberModes
2.2.1 Eigenvalue Equation
2.2.2 Single.ModeCondition
2.2.3 Charactedstics of the Fundamental Mode
2.3 Pulse.PropagationEquation
2.3.1 NonlinearPulsePropagation
2.3.2 Higher-OrderNonlinearEffects
2.4 NumericalMethods
2.4.1 Split-Step FourierMethod
2.4.2 nniCC.Difference Methods
Problems
References
Group-Velocity Dispersion

3.1 Different Propagation Regimes
3.2 Dispersion-Induced Pulse Broadening
3.2.1 Gaussian Pulses
3.2.2 Chirped Gaussian Pulses
3.2.3 Hyperbolic Secant Pulses
3.2.4 Super-Gaussian Pulses
3.2.5 Experimental Results
3.3 Third-Order Dispersion
3.3.1 Evolution of Chirped Gaussian Pulses
3.3.2 Broadening Factor
3.3.3 Arbitrary-Shape Pulses
3.3.4 Ultrashort-Pulse Measurements
3.4 DispersionManagement
3.4.1 GvD.InducedLimitations
3.4.2 DispersionCompensation
3.4.3 Compensation of Thifd—Order Dispersion.
Problems
References

4 Self.Phase Modulafion
4.1 SPM-Induced Spectral Changes
4.1.1 NonlinearPhase Shift
4.1.2 ChangesinPulseSpectra
4.1.3 Effect of Pulse Shape and Initial Chirp
4.1.4 EffCC[ofPartial Coherence
4.2 Effect of Group-Velocity Dispersion
4.2.1 PulseEvolution
4.2.2 BroadeningFactor
4.2.3 0ptic~~~~wave Breaking
4.2.4 ExperimentalResults
4.2.5 Effect of Third，Order Dispersion
4.2.6 SPMEffectsinFiberAmplifiers
4.3 Semianalytic Techniques
4.3.1 MomentMethod
4.3.2 VariationalMethod
4.3.3 Specific Analytic Solutions
4.4 Higher-OrderNonlinearEffects
4.4.1 Self-Steepening
4.4.2 Effect of GVD on Optical Shocks
4.4.3 Intrapulse Raman Scat~~~~fing
Problems
References
5 Optical Solitons
5.1 Modulation Instability
5.1.1 Linear Stability Analysis
5.1.2 Gain Spectrum
5.1.3 Experimental Results
5.1.4 Ultrashort Pulse Generation
5.1.5 Impact cn Lightwave Systems
5.2 Fiber Solitons
5.2.1 Inverse Scattering Method
5.2.2 Fundamental Soliton
5.2.3 Higher-Order Solitons
5.2.4 Experimental Confirmation
5.2.5 Soliton Stability
5.3 Other Types of Solitons
5.3.1 Dark Solitons
5.3.2 Dispersion-Managed Solitons
5.3.3 Bistable Solitons
5.4 Perturbation ef Solitons
5.4.1 Perturbation Methods
5.4.2 Fiber Losses
5.4.3 Soliton Amplification
5.4.4 Soliton Interaction
5.5 Higher-Order Effects
5.5.1 Moment Equations for Pulse Parameters
5.5.2 Third-Order Dispersion
5.5.3 Self-Steepening
5.5.4 Intrapulse Raman Scattering
5.5.5 Propagation of Femtosecond Pulses
Problems
References

6 Polarization Effects
6.1 Nonlinear Birefringence
6.1.1 Origin of Nonlinear Birefringence
6.1.2 Ccupled-Mode Equations
6.1.3 Elliptically Birefringent Fibers
6.2 Nonlinear Phase Shift
6.2.1 Nondispersive XPM
6.2.2 Optical Kerr Effect
6.2.3 Pulse Shaping
6.3 Evolution of Polarization State
6.3.1 Analytic Solution
6.3.2 Poincare-Sphere Representation
6.3.3 Polarization Instability
6.3.4 Polarization Chaos
6.4 Vector Modulation Instability
6.4.1 Low-Birefringence Fibers
6.4.2 High-Birefringence Fibers
6.4.3 Isotropic Fibers
6.4.4 Experimental Results
6.5 Birefringence and Solitons
6.5.1 Low-Birefringence Fibers
6.5.2 High-Birefringence Fibers
6.5.3 Soliton-Dragging Logic Gates
6.5.4 Vector Solitons
6.6 Random Birefringence
6.6.1 Polarization-Mode Dispersion
6.6.2 Vector Form of the NLS Equation
6.6.3 Effects of PMD on Solitons
Problems
References

7 Cross-Phase Modulation
7.1 XPM-Induced Nonlinear Coupling
7.1.1 Nonlinear Refractive Index
7.1.2 Coupled NLS Equations
7.2 XPM-Induced Modulation Instability
7.2.1 Linear Stability Analysis
7.2.2 Experimental Results
7.3 XPM-Paired Solitons
7.3.1 Bright-Dark Soliton Pair
7.3.2 Bright-Gray Soliton Pair
7.3.3 Periodic Solutions
7.3.4 Multiple Coupled NLS Equations
7.4 Spectral and Temporal Effects
7.4.1 Asymmetric Spectral Broadening
7.4.2 Asymmetric Temporal Changes
7.4.3 Higher-Order Nonlinear Effects
7.5 Applications of XPM
7.5.1 XPM-Induced Pulse Compression
7.5.2 XPM-Induced Optical Switching
7.5.3 XPM-Induced Nonreciprocity
7.6 Polarization Effects
7.6.1 Vector Theory of XPM
7.6.2 Polarization Evolution
7.6.3 Polarization-Dependent Spectral Broadening
7.6.4 Pulse Trapping and Compression
7.6.5 XPM-Induced Wave Breaking
7.7 XPM Effects in Birefringent Fibers
7.7.1 Fibers with Low Birefringence
7.7.2 Fibers with High Birefringence
Problems
References

8 Stimulated Raman Scattering
9 Stimulated Brillouin Scattering
10 Four-Wave Mixing
11 Highly Nonlinear Fibers
12 Novel Nonlinear Phenomena
A System of Units
B Numerical Code for the NLS Equation
C List of Acronyms
Index