Solitons in Optical Fiber Systems

Informationen zum Autor 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. Klappentext Solitons in Optical Fiber SystemsDiscover a robust exploration of the main properties and behaviors of solitons in fiber systemsIn 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 approachPerfect for senior undergraduate and graduate students in courses dealing with fiber-optics technology, Solitons in Optical Fiber Systems is also an ideal resource for engineers and technicians in the fiber-optics industry and researchers of nonlinear fiber optics. Zusammenfassung Solitons in Optical Fiber SystemsDiscover a robust exploration of the main properties and behaviors of solitons in fiber systemsIn 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, ...

List of contents

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

Product details

• Authors: Ferreira, Mario F S Ferreira, Mario F. Ferreira, Mario F. S. Ferreira, Mario F. S. (Optical Society of America Ferreira, Mario F.s. Ferreira, Mfs Ferreira
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 31.12.2021
• EAN: 9781119506676
• ISBN: 978-1-119-50667-6
• No. of pages: 400
• Subjects: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering; Glasfaser, Lichtwellenleiter, kommunikationstechnik, Materialwissenschaften, Materials science, Electrical & Electronics Engineering, Elektrotechnik u. Elektronik, Optische u. Nichtlineare Optische Materialien, Optical and Non-Linear Optical Materials, Communication Technology, Optische Nachrichtentechnik, Optical Communications