Nonlinear Fiber Optics (eBook)

Govind P. Agrawal (Autor)

eBook Download: PDF

2001 | 3. Auflage
467 Seiten
Elsevier Science (Verlag)
978-0-08-047974-3 (ISBN)

Infos

The Optical Society of America (OSA) and SPIE - The International Society for Optical Engineering have awarded Govind Agrawal with an honorable mention for the Joseph W. Goodman Book Writing Award for his work on Nonlinear Fiber Optics, 3rd edition.

Nonlinear Fiber Optics, 3rd Edition, provides a comprehensive and up-to-date account of the nonlinear phenomena occurring inside optical fibers. It retains most of the material that appeared in the first edition, with the exception of Chapter 6, which is now devoted to the polarization effects relevant for light propagation in optical fibers. The contents include such important topics as self- and cross-phase modulation, stimulated Raman and Brillouin scattering, four-wave mixing, modulation instability, and optical solutons. A proper understanding of these topics is essential for scientists and engineers interested in various aspects of lightwave technology.

Such an ambitious objective increased the size of the book to the extent that it was necessary to create a separate but complimentary book, Applications of Nonlinear Fiber Optics, which is devoted to applications in the domain of lightwave technology.

This revised edition of Nonlinear Fiber Optics should serve well the needs of the scientific community including graduate students in Optics, Physics, and Electrical Engineering, engineers in the optical communication industry, and scientists working in fiber optics and nonlinear optics.


* Only book dealing with Nonlinear Fiber Optics
* Comprehensive up-to-date coverage of the entire field
* Problems at the end of each chapter suitable for a course
* Focus on fundamental aspects
* Can be used by graduate students doing research in or taking courses in nonlinear optics and optical communications

Inhalt

Cover 1
Contents 1
Preface 1
Chapter 1 Introduction 1
1.1 Historical Perspective 1
1.2 Fiber Characteristics 1
1.2.1 Material and Fabrication 1
1.2.2 Fiber Losses 1
1.2.3 Chromatic Dispersion 1
1.2.4 Polarization-Mode Dispersion 1
1.3 Fiber Nonlinearities 1
1.3.1 Nonlinear Refraction 1
1.3.2 Stimulated Inelastic Scattering 1
1.3.3 Importance of Nonlinear Effects 1
1.4 Overview 1
Problems 39
References 39
Chapter 2 Pulse Propagation in Fibers 1
2.1 Maxwell’s Equations 1
2.2 Fiber Modes 1
2.2.1 Eigenvalue Equation 1
2.2.2 Single-Mode Condition 1
2.2.3 Characteristics of the Fundamental Mode 1
2.3 Pulse-Propagation Equation 1
2.3.1 Nonlinear Pulse Propagation 1
2.3.2 Higher-Order Nonlinear Effects 1
2.4 Numerical Methods 1
2.4.1 Split-Step Fourier Method 1
2.4.2 Finite-Difference Methods 1
Problems 71
References 72
Chapter 3 Group-Velocity Dispersion 1
3.1 Different Propagation Regimes 1
3.2 Dispersion-Induced Pulse Broadening 1
3.2.1 Gaussian Pulses 1
3.2.2 Chirped Gaussian Pulses 1
3.2.3 Hyperbolic-Secant Pulses 1
3.2.4 Super-Gaussian Pulses 1
3.2.5 Experimental Results 1
3.3 Third-Order Dispersion 1
3.3.1 Changes in Pulse Shape 1
3.3.2 Broadening Factor 1
3.3.3 Arbitrary-Shape Pulses 1
3.3.4 Ultrashort-Pulse Measurements 1
3.4 Dispersion Management 1
3.4.1 GVD-Induced Limitations 1
3.4.2 Dispersion Compensation 1
3.4.3 Compensation of Third-Order Dispersion 1
Problems 107
References 108
Chapter 4 Self-Phase Modulation 1
4.1 SPM-Induced Spectral Broadening 1
4.1.1 Nonlinear Phase Shift 1
4.1.2 Changes in Pulse Spectra 1
4.1.3 Effect of Pulse Shape and Initial Chirp 1
4.1.4 Effect of Partial Coherence 1
4.2 Effect of Group-Velocity Dispersion 1
4.2.1 Pulse Evolution 1
4.2.2 Broadening Factor 1
4.2.3 OpticalWave Breaking 1
4.2.4 Experimental Results 1
4.2.5 Effect of Third-Order Dispersion 1
4.3 Higher-Order Nonlinear Effects 1
4.3.1 Self-Steepening 1
4.3.2 Effect of GVD on Optical Shocks 1
4.3.3 Intrapulse Raman Scattering 1
Problems 144
References 144
Chapter 5 Optical Solitons 1
5.1 Modulation Instability 1
5.1.1 Linear Stability Analysis 1
5.1.2 Gain Spectrum 1
5.1.3 Experimental Observation 1
5.1.4 Ultrashort Pulse Generation 1
5.1.5 Impact on Lightwave Systems 1
5.2 Fiber Solitons 1
5.2.1 Inverse Scattering Method 1
5.2.2 Fundamental Soliton 1
5.2.3 Higher-Order Solitons 1
5.2.4 Experimental Confirmation 1
5.2.5 Soliton Stability 1
5.3 Other Types of Solitons 1
5.3.1 Dark Solitons 1
5.3.2 Dispersion-Managed Solitons 1
5.3.3 Bistable Solitons 1
5.4 Perturbation of Solitons 1
5.4.1 Perturbation Methods 1
5.4.2 Fiber Losses 1
5.4.3 Soliton Amplification 1
5.4.4 Soliton Interaction 1
5.5 Higher-Order Effects 1
5.5.1 Third-Order Dispersion 1
5.5.2 Self-Steepening 1
5.5.3 Intrapulse Raman Scattering 1
5.5.4 Propagation of Femtosecond Pulses 1
Problems 206
References 207
Chapter 6 Polarization Effects 1
6.1 Nonlinear Birefringence 1
6.1.1 Origin of Nonlinear Birefringence 1
6.1.2 Coupled-Mode Equations 1
6.1.3 Elliptically Birefringent Fibers 1
6.2 Nonlinear Phase Shift 1
6.2.1 Nondispersive XPM 1
6.2.2 Optical Kerr Effect 1
6.2.3 Pulse Shaping 1
6.3 Evolution of Polarization State 1
6.3.1 Analytic Solution 1
6.3.2 Poincar ´ e-Sphere Representation 1
6.3.3 Polarization Instability 1
6.3.4 Polarization Chaos 1
6.4 Vector Modulation Instability 1
6.4.1 Low-Birefringence Fibers 1
6.4.2 High-Birefringence Fibers 1
6.4.3 Isotropic Fibers 1
6.4.4 Experimental Results 1
6.5 Birefringence and Solitons 1
6.5.1 Low-Birefringence Fibers 1
6.5.2 High-Birefringence Fibers 1
6.5.3 Soliton-Dragging Logic Gates 1
6.5.4 Vector Solitons 1
6.6 Random Birefringence 1
6.6.1 Polarization-Mode Dispersion 1
6.6.2 Polarization State of Solitons 1
Problems 266
References 267
Chapter 7 Cross-Phase Modulation 1
7.1 XPM-Induced Nonlinear Coupling 1
7.1.1 Nonlinear Refractive Index 1
7.1.2 Coupled NLS Equations 1
7.1.3 Propagation in Birefringent Fibers 1
7.2 XPM-Induced Modulation Instability 1
7.2.1 Linear Stability Analysis 1
7.2.2 Experimental Results 1
7.3 XPM-Paired Solitons 1
7.3.1 Bright–Dark Soliton Pair 1
7.3.2 Bright–Gray Soliton Pair 1
7.3.3 Other Soliton Pairs 1
7.4 Spectral and Temporal Effects 1
7.4.1 Asymmetric Spectral Broadening 1
7.4.2 Asymmetric Temporal Changes 1
7.4.3 Higher-Order Nonlinear Effects 1
7.5 Applications of XPM 1
7.5.1 XPM-Induced Pulse Compression 1
7.5.2 XPM-Induced Optical Switching 1
7.5.3 XPM-Induced Nonreciprocity 1
Problems 307
References 308
Chapter 8 Stimulated Raman Scattering 1
8.1 Basic Concepts 1
8.1.1 Raman-Gain Spectrum 1
8.1.2 Raman Threshold 1
8.1.3 Coupled Amplitude Equations 1
8.2 Quasi-Continuous SRS 1
8.2.1 Single-Pass Raman Generation 1
8.2.2 Raman Fiber Lasers 1
8.2.3 Raman Fiber Amplifiers 1
8.2.4 Raman-Induced Crosstalk 1
8.3 SRS with Short Pump Pulses 1
8.3.1 Pulse-Propagation Equations 1
8.3.2 Nondispersive Case 1
8.3.3 Effects of GVD 1
8.3.4 Experimental Results 1
8.3.5 Synchronously Pumped Raman Lasers 1
8.4 Soliton Effects 1
8.4.1 Raman Solitons 1
8.4.2 Raman Soliton Lasers 1
8.4.3 Soliton-Effect Pulse Compression 1
8.5 Effect of Four-Wave Mixing 1
Problems 359
References 360
Chapter 9 Stimulated Brillouin Scattering 1
9.1 Basic Concepts 1
9.1.1 Physical Process 1
9.1.2 Brillouin-Gain Spectrum 1
9.2 Quasi-CW SBS 1
9.2.1 Coupled Intensity Equations 1
9.2.2 Brillouin Threshold 1
9.2.3 Gain Saturation 1
9.2.4 Experimental Results 1
9.3 Dynamic Aspects 1
9.3.1 Coupled Amplitude Equations 1
9.3.2 Relaxation Oscillations 1
9.3.3 Modulation Instability and Chaos 1
9.3.4 Transient Regime 1
9.4 Brillouin Fiber Lasers 1
9.4.1 CW Operation 1
9.4.2 Pulsed Operation 1
9.5 SBS Applications 1
9.5.1 Brillouin Fiber Amplifiers 1
9.5.2 Fiber Sensors 1
Problems 397
References 398
Chapter 10 Parametric Processes 1
10.1 Origin of Four-Wave Mixing 1
10.2 Theory of Four-Wave Mixing 1
10.2.1 Coupled Amplitude Equations 1
10.2.2 Approximate Solution 1
10.2.3 Effect of Phase Matching 1
10.2.4 Ultrafast FWM 1
10.3 Phase-Matching Techniques 1
10.3.1 Physical Mechanisms 1
10.3.2 Phase Matching in Multimode Fibers 1
10.3.3 Phase Matching in Single-Mode Fibers 1
10.3.4 Phase Matching in Birefringent Fibers 1
10.4 Parametric Amplification 1
10.4.1 Gain and Bandwidth 1
10.4.2 Pump Depletion 1
10.4.3 Parametric Amplifiers 1
10.4.4 Parametric Oscillators 1
10.5 FWM Applications 1
10.5.1 Wavelength Conversion 1
10.5.2 Phase Conjugation 1
10.5.3 Squeezing 1
10.5.4 Supercontinuum Generation 1
10.6 Second-Harmonic Generation 1
10.6.1 Experimental Results 1
10.6.2 Physical Mechanism 1
10.6.3 Simple Theory 1
10.6.4 Quasi-Phase-Matching Technique 1
Problems 450
References 451
Appendix A Decibel Units 1
Appendix B Nonlinear Refractive Index 1
References 1
Appendix C Acronyms 1
Index 1

Produkt-Details

• Erscheint lt. Verlag: 29.1.2001
• Sprache: englisch
• Themenwelt: Sachbuch/Ratgeber
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Optik
• Themenwelt: Technik ► Nachrichtentechnik
• ISBN-10: 0-08-047974-X / 008047974X
• ISBN-13: 978-0-08-047974-3 / 9780080479743