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Nonlinear Fiber Optics [¾çÀå]

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Preface xv
Introduction 1 (30)
Historical Perspective 1 (2)
Fiber Characteristics 3 (14)
Material and Fabrication 4 (1)
Fiber Losses 5 (2)
Chromatic Dispersion 7 (6)
Polarization-Mode Dispersion 13 (4)
Fiber Nonlinearities 17 (5)
Nonlinear Refraction 17 (2)
Stimulated Inelastic Scattering 19 (1)
Importance of Nonlinear Effects 20 (2)
Overview 22 (9)
Problems 25 (1)
References 25 (6)
Pulse Propagation in Fibers 31 (32)
Maxwell's Equations 31 (3)
Fiber Modes 34 (5)
Eigenvalue Equation 34 (2)
Single-Mode Condition 36 (1)
Characteristics of the Fundamental Mode 37 (2)
Pulse-Propagation Equation 39 (12)
Nonlinear Pulse Propagation 39 (6)
Higher-Order Nonlinear Effects 45 (6)
Numerical Methods 51 (12)
Split-Step Fourier Method 51 (4)
Finite-Difference Methods 55 (2)
Problems 57 (1)
References 58 (5)
Group-Velocity Dispersion 63 (34)
Different Propagation Regimes 63 (3)
Dispersion-Induced Pulse Broadening 66 (10)
Gaussian Pulses 67 (2)
Chirped Gaussian Pulses 69 (2)
Hyperbolic-Secant Pulses 71 (1)
Super-Gaussian Pulses 72 (3)
Experimental Results 75 (1)
Third-Order Dispersion 76 (10)
Changes in Pulse Shape 77 (2)
Broadening Factor 79 (3)
Arbitrary-Shape Pulses 82 (3)
Ultrashort-Pulse Measurements 85 (1)
Dispersion Management 86 (11)
GVD-Induced Limitations 86 (2)
Dispersion Compensation 88 (2)
Compensation of Third-Order Dispersion 90 (3)
Problems 93 (1)
References 94 (3)
Self-Phase Modulation 97 (38)
SPM-Induced Spectral Broadening 97 (12)
Nonlinear Phase Shift 98 (2)
Changes in Pulse Spectra 100(4)
Effect of Pulse Shape and Initial Chirp 104(2)
Effect of Partial Coherence 106(3)
Effect of Group-Velocity Dispersion 109(13)
Pulse Evolution 109(4)
Broadening Factor 113(2)
Optical Wave Breaking 115(3)
Experimental Results 118(2)
Effect of Third-Order Dispersion 120(2)
Higher-Order Nonlinear Effects 122(13)
Self-Steepening 123(3)
Effect of GVD on Optical Shocks 126(2)
Intrapulse Raman Scattering 128(2)
Problems 130(1)
References 130(5)
Optical Solitions 135(68)
Modulation Instability 136(10)
Linear Stability Analysis 136(2)
Gain Spectrum 138(2)
Experimental Observation 140(2)
Ultrashort Pulse Generation 142(2)
Impact on Lightwave Systems 144(2)
Fiber Solitons 146(13)
Inverse Scattering Method 147(2)
Fundamental Soliton 149(3)
Higher-Order Solitons 152(2)
Experimental Confirmation 154(2)
Soliton Stability 156(3)
Other Types of Solitons 159(7)
Dark Solitons 159(5)
Dispersion-Managed Solitons 164(1)
Bistable Solitons 165(1)
Perturbation of Solitons 166(14)
Perturbation Methods 167(2)
Fiber Losses 169(2)
Soliton Amplification 171(5)
Soliton Interaction 176(4)
Higher-Order Effects 180(23)
Third-Order Dispersion 181(2)
Self-Steepening 183(3)
Intrapulse Raman Scattering 186(4)
Propagation of Femtosecond Pulses 190(2)
Problems 192(1)
References 193(10)
Polarization Effects 203(57)
Nonlinear Birefringence 204(6)
Origin of Nonlinear Birefringence 204(2)
Coupled-Mode Equations 206(2)
Elliptically Birefringent Fibers 208(2)
Nonlinear Phase Shift 210(8)
Nondispersive XPM 210(1)
Optical Kerr Effect 211(5)
Pulse Shaping 216(2)
Evolution of Polarization State 218(10)
Analytic Solution 219(2)
Poincare-Sphere Representation 221(3)
Polarization Instability 224(3)
Polarization Chaos 227(1)
Vector Modulation Instability 228(10)
Low-Birefringence Fibers 229(2)
High-Birefringence Fibers 231(3)
Isotropic Fibers 234(1)
Experimental Results 235(3)
Birefringence and Solitons 238(8)
Low-Birefringence Fibers 239(1)
High-Birefringence Fibers 240(3)
Soliton-Dragging Logic Gates 243(1)
Vector Solitons 244(2)
Random Birefringence 246(14)
Polarization-Mode Dispersion 246(2)
Polarization State of Solitons 248(4)
Problems 252(1)
References 253(7)
Cross-Phase Modulation 260(38)
XPM-Induced Nonlinear Coupling 261(4)
Nonlinear Refractive Index 261(2)
Coupled NLS Equations 263(1)
Propagation in Birefringent Fibers 264(1)
XPM-Induced Modulation Instability 265(5)
Linear Stability Analysis 265(3)
Experimental Results 268(2)
XPM-Paired Solitons 270(4)
Bright-Dark Soliton Pair 270(2)
Bright-Gray Soliton Pair 272(1)
Other Soliton Pairs 272(2)
Spectral and Temporal Effects 274(12)
Asymmetric Spectral Broadening 275(6)
Asymmetric Temporal Changes 281(3)
Higher-Order Nonlinear Effects 284(2)
Applications of XPM 286(12)
XPM-Induced Pulse Compression 286(3)
XPM-Induced Optical Switching 289(1)
XPM-Induced Nonreciprocity 290(3)
Problems 293(1)
References 294(4)
Stimulated Raman Scattering 298(57)
Basic Concepts 298(8)
Raman-Gain Spectrum 299(1)
Raman Threshold 300(4)
Coupled Amplitude Equations 304(2)
Quasi-Continuous SRS 306(14)
Single-Pass Raman Generation 306(3)
Raman Fiber Lasers 309(3)
Raman Fiber Amplifiers 312(6)
Raman-Induced Crosstalk 318(2)
SRS with Short Pump Pulses 320(13)
Pulse-Propagation Equations 320(1)
Nondispersive Case 321(3)
Effects of GVD 324(3)
Experimental Results 327(5)
Synchronously Pumped Raman Lasers 332(1)
Soliton Effects 333(10)
Raman Solitons 334(5)
Raman Soliton Lasers 339(2)
Soliton-Effect Pulse Compression 341(2)
Effect of Four-Wave Mixing 343(12)
Problems 345(1)
References 346(9)
Stimulated Brillouin Scattering 355(34)
Basic Concepts 355(4)
Physical Process 356(1)
Brillouin-Gain Spectrum 357(2)
Quasi-CW SBS 359(8)
Coupled Intensity Equations 360(1)
Brillouin Threshold 360(2)
Gain Saturation 362(2)
Experimental Results 364(3)
Dynamic Aspects 367(8)
Coupled Amplitude Equations 367(1)
Relaxation Oscillations 368(3)
Modulation Instability and Chaos 371(2)
Transient Regime 373(2)
Brillouin Fiber Lasers 375(5)
CW Operation 375(2)
Pulsed Operation 377(3)
SBS Applications 380(9)
Brillouin Fiber Amplifiers 380(3)
Fiber Sensors 383(1)
Problems 383(1)
References 384(5)
Parametric Processes 389(56)
Origin of Four-Wave Mixing 389(3)
Theory of Four-Wave Mixing 392(7)
Coupled Amplitude Equations 392(2)
Approximate Solution 394(2)
Effect of Phase Matching 396(1)
Ultrafast FWM 397(2)
Phase-Matching Techniques 399(13)
Physical Mechanisms 399(1)
Phase Matching in Multimode Fibers 400(4)
Phase Matching in Single-Mode Fibers 404(4)
Phase Matching in Birefringent Fibers 408(4)
Parametric Amplification 412(6)
Gain and Bandwidth 412(2)
Pump Depletion 414(2)
Parametric Amplifiers 416(1)
Parametric Oscillators 417(1)
FWM Applications 418(9)
Wavelength Conversion 419(1)
Phase Conjugation 420(2)
Squeezing 422(2)
Supercontinuum Generation 424(3)
Second-Harmonic Generation 427(18)
Experimental Results 427(2)
Physical Mechanism 429(2)
Simple Theory 431(3)
Quasi-Phase-Matching Technique 434(2)
Problems 436(1)
References 437(8)
Appendix A Decibel Units 445(2)
Appendix B Nonlinear Refractive Index 447(7)
Appendix C Acronyms 454(3)
Index 457

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