Mario F. S. Ferreira (Optical Society of America (OSA), SPIE - The

Solitons in Optical Fiber Systems

• Gebundenes Buch

Produktbeschreibung

Solitons in Optical Fiber Systems

Discover a robust exploration of the main properties and behaviors of solitons in fiber systems

In Solitons in Optical Fiber Systems, distinguished researcher Dr. Mário F. S. Ferreira delivers a thorough treatment of the main characteristics of solitons in optical fiber communication systems and fiber devices, paying special attention to stationary and pulsating dissipative soliton pulses. The book discusses the technical aspects associated with the physical background and the theoretical description of soliton characteristics under different conditions.

The author employs numerical analyses and variational approaches to describe soliton evolution and describes the phenomenon of supercontinuum generation and various solitonic effects observed in highly nonlinear fibers, like photonic crystal fibers.

Readers will learn about different applications of fiber solitons in transmission systems, fiber lasers, couplers, and pulse compression schemes, as well as complex Ginzburg-Landau equations, which are used to model different types of dissipative systems.

The book also includes:
_ A thorough introduction to solitons, including the linear and nonlinear effects of a wave, the discovery of solitary waves, and the discovery of solitons in optical fibers
_ An exploration of fiber dispersion and nonlinearity, including optical fiber dispersion, the pulse propagation equation, and the impact of fiber dispersion
_ Practical discussions of nonlinear effects in optical fibers, including self-phase modulation, cross-phase modulations, four-wave mixing, and stimulated raman scattering
_ In-depth treatments of solitons in optical fibers, including modulation instability, dark solitons, bistable solitons, XPM-paired solitons, and the variational approach

Perfect for senior undergraduate and graduate students in courses dealing with fiber-optics technology, Solitons in Optical FiberSystems is also an ideal resource for engineers and technicians in the fiber-optics industry and researchers of nonlinear fiber optics.

Produktdetails

• Verlag: Wiley / Wiley & Sons
• Artikelnr. des Verlages: 1W119506670
• 1. Auflage
• Seitenzahl: 400
• Erscheinungstermin: 20. Juli 2022
• Englisch
• Abmessung: 260mm x 183mm x 25mm
• Gewicht: 892g
• ISBN-13: 9781119506676
• ISBN-10: 1119506670
• Artikelnr.: 63086675

Autorenporträt

Mário F. S. Ferreira, PhD, is a Senior Member of the Optical Society of America (OSA) and SPIE - The International Society for Optical and Photonics. He is also a member of the IEEE Photonics Society and the Portuguese Physical Society. He is a Travelling Lecturer of the OSA and SPIE.

Inhaltsangabe

Preface xiii

List of Abbreviations xv

1 Introduction 1

References 5

2 Waves Called Solitons 9

2.1 Linear and Nonlinear Effects of a Wave 9

2.2 Solitary Waves and Solitons 11

2.3 Solitons in Optical Fibers 13

2.4 Dissipative Optical Solitons 15

References 16

3 Fiber Dispersion and Nonlinearity 19

3.1 Fiber Chromatic Dispersion 19

3.1.1 Gaussian Input Pulses 21

3.2 Fiber Nonlinearity 25

3.2.1 The Nonlinear Refractive Index 25

3.2.2 Relevance of Nonlinear Effects in Fibers 26

3.3 The Pulse Propagation Equation 28

3.3.1 The Normalized NLSE 29

3.3.2 Propagation in the Absence of Dispersion and Nonlinearity 30

3.3.3 Effect of Dispersion Only 30

3.3.4 Effect of Nonlinearity Only 32

References 33

4 Nonlinear Effects in Optical Fibers 35

4.1 Self-Phase Modulation 35

4.1.1 Modulation Instability 39

4.2 Cross-Phase Modulation 40

4.3 Four-Wave Mixing 42

4.4 Stimulated Raman Scattering 45

4.5 Stimulated Brillouin Scattering 49

References 52

5 Optical Amplification 57

5.1 General Concepts on Optical Amplifiers 57

5.2 Erbium-Doped Fiber Amplifiers 59

5.2.1 Two-Level Model 60

5.3 Fiber Raman Amplifiers 63

5.4 Fiber Parametric Amplifiers 68

5.5 Lumped versus Distributed Amplification 72

5.6 Parabolic Pulses 74

References 76

6 Solitons in Optical Fibers 81

6.1 The Fundamental Soliton Solution 81

6.2 Higher-Order Solitons 83

6.3 Soliton Units 86

6.4 Dark Solitons 87

6.5 Bistable Solitons 88

6.6 XPM-Paired Solitons 89

6.7 Optical Similaritons 90

6.8 Numerical Solution of the NLSE 92

6.9 The Variational Approach 94

6.10 The Method of Moments 97

References 98

7 Soliton Transmission Systems 101

7.1 Soliton Perturbation Theory 101

7.2 Effect of Fiber Losses 102

7.3 Soliton Amplification 103

7.3.1 Lumped Amplification 104

7.3.2 Distributed Amplification 105

7.4 Soliton Interaction 107

7.5 Timing Jitter 110

7.5.1 Gordon-Haus Jitter 110

7.5.2 Polarization-Mode Dispersion Jitter 113

7.5.3 Acoustic Jitter 113

7.5.4 Soliton Interaction Jitter 114

7.6 WDM Soliton Systems 114

7.6.1 Lossless Soliton Collisions 114

7.6.2 Soliton Collisions in Perturbed Fiber Spans 116

7.6.3 Timing Jitter 117

References 117

8 Soliton Transmission Control 121

8.1 Fixed-Frequency Filters 121

8.1.1 Control of Timing Jitter 122

8.1.2 Control of Soliton Interaction 123

8.1.3 Background Instability 125

8.2 Sliding-Frequency Filters 125

8.2.1 Evolution of Soliton Parameters 126

8.2.2 Control of Timing Jitter 129

8.2.3 Control of Soliton Interaction 131

8.3 Synchronous Modulators 132

8.4 Amplifiers with Nonlinear Gain 133

8.4.1 Stationary Solutions 134

8.4.2 Control of Soliton Interaction 137

References 139

9 Propagation of Ultrashort Solitons 141

9.1 Generalized NLSE 141

9.1.1 Third-Order Dispersion 142

9.1.2 Self-Steepening 143

9.1.3 Intrapulse Raman Scattering 144

9.2 Timing Jitter of Ultrashort Solitons 145

9.3 Bandwidth-Limited Amplification of Ultrashort Sol