Optical Solitons (eBook)
540 Seiten
Elsevier Science (Verlag)
978-0-08-053809-9 (ISBN)
This book is the first to provide a thorough overview of optical solitons. The main purpose of this book is to present the rapidly developing field of Spatial Optical Solitons starting from the basic concepts of light self-focusing and self-trapping. It will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non-integrated but physically realistic models of nonlinear optics including their stability and dynamics. Also, it will summarize a number of important experimental verification of the basic theoretical predictions and concepts covering the observation of self-focusing in the earlier days of nonlinear optics and the most recent experimental results on spatial solitons, vortex solitons, and soliton interaction & spiraling.
* Introduces the fundamental concepts of the theory of nonlinear waves and solitons through realistic models
* Material is based on authors' years of experience actively working in and researching the field
* Summarizes the most important experimental verification of the basic theories, predictions and concepts of this ever evolving field from the earliest studies to the most recent
The current research into solitons and their use in fiber optic communications is very important to the future of communications. Since the advent of computer networking and high speed data transmission technology people have been striving to develop faster and more reliable communications media. Optical pulses tend to broaden over relatively short distances due to dispersion, but solitons on the other hand are not as susceptible to the effects of dispersion, and although they are subject to losses due to attenuation they can be amplified without being received and re-transmitted.This book is the first to provide a thorough overview of optical solitons. The main purpose of this book is to present the rapidly developing field of Spatial Optical Solitons starting from the basic concepts of light self-focusing and self-trapping. It will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non-integrated but physically realistic models of nonlinear optics including their stability and dynamics. Also, it will summarize a number of important experimental verification of the basic theoretical predictions and concepts covering the observation of self-focusing in the earlier days of nonlinear optics and the most recent experimental results on spatial solitons, vortex solitons, and soliton interaction & spiraling.* Introduces the fundamental concepts of the theory of nonlinear waves and solitons through realistic models * Material is based on authors' years of experience actively working in and researching the field* Summarizes the most important experimental verification of the basic theories, predictions and concepts of this ever evolving field from the earliest studies to the most recent
Front Cover 1
Optical Solitons: From Fibers to Photonic Crystals 4
Copyright Page 5
Contents 8
Preface 16
Chapter 1. Introduction 18
1.1 Historical Background 18
1.2 Spatial Optical Solitons 20
1.3 Temporal Optical Solitons 27
1.4 Solutions of the NLS Equation 32
1.5 Solitons of Non-Kerr Media 37
1.6 Book Overview 42
References 45
Chapter 2. Spatial Solitons 48
2.1 Analytical Solutions 48
2.2 Soliton Stability and Internal Modes 50
2.3 Stability Criterion 54
2.4 Embedded Solitons 60
2.5 Soliton Collisions 63
2.6 Breathers and Soliton Bound States 70
2.7 Experimental Results 73
References 77
Chapter 3. Temporal Solitons 80
3.1 Fiber Solitons 80
3.2 Soliton-Based Communications 83
3.3 Loss-Managed Solitons 87
3.4 Dispersion-Managed Solitons 94
3.5 Perturbation of Solitons 102
3.6 Higher-Order Effects 106
References 116
Chapter 4. Dark Solitons 121
4.1 Kerr Medium 121
4.2 Non-Kerr Media 125
4.3 Instability-Induced Dynamics 130
4.4 Perturbation Theory 139
4.5 Temporal Dark Solitons 143
4.6 Experimental Results 149
References 159
Chapter 5. Bragg Solitons 164
5.1 Basic Concepts 164
5.2 Photonic Bandgap 166
5.3 Modulation Instability 173
5.4 Nonlinear Pulse Propagation 179
5.5 Nonlinear Switching 185
References 190
Chapter 6. Two-Dimensional Solitons 194
6.1 Soliton Transverse Instability 194
6.2 Spatial Solitons in a Bulk Medium 200
6.3 Experimental Results 208
6.4 Soliton Interaction and Spiraling 212
6.5 Solitons with Angular Momentum 219
References 224
Chapter 7. Spatiotemporal Solitons 229
7.1 Spatiotemporal Modulation Instability 229
7.2 Optical Bullets and Their Stability 232
7.3 Normal-Dispersion Regime 240
7.4 Collapse-Arresting Mechanisms 245
7.5 Higher-Order Effects 250
7.6 Experimental Results 259
References 263
Chapter 8. Vortex Solitons 266
8.1 Introduction 266
8.2 Transverse Instability 268
8.3 Properties of Vortex Solitons 272
8.4 Aharonov–Bohm Effect 283
8.5 Vortex Arrays and Lattices 285
8.6 Ring Dark Solitons 288
References 291
Chapter 9. Vector Solitons 295
9.1 Incoherently Coupled Solitons 295
9.2 Multicomponent Vector Solitons 302
9.3 Stability of Vector Solitons 306
9.4 Coherently Coupled Solitons 312
9.5 Multihump Vector Solitons 323
9.6 Two-Dimensional Vector Solitons 328
9.7 Transverse Modulation Instability 343
9.8 Dark Vector Solitons 344
References 350
Chapter 10. Parametric Solitons 357
10.1 Parametric Interaction 357
10.2 Waveguide Geometry 360
10.3 Quadratic Solitons in Bulk Media 372
10.4 Multifrequency Parametric Solitons 382
10.5 Quasi-Phase Matching 387
10.6 Related Concepts 392
References 397
Chapter 11. Discrete Solitons 403
11.1 Discrete NLS Equation 403
11.2 General Theory 407
11.3 Modulation Instability 414
11.4 Bright and Dark Solitons 418
11.5 Experimental Results 427
11.6 Related Concepts 434
References 438
Chapter 12. Solitons in Photonic Crystals 442
12.1 Linear Characteristics 442
12.2 Effective Discrete Models 446
12.3 Bandgap Solitons 450
12.4 Two-Dimensional Photonic Crystals 455
12.5 Future Perspectives 459
References 461
Chapter 13. Incoherent Solitons 464
13.1 Historical Perspective 464
13.2 Theoretical Methods 466
13.3 Bright Incoherent Solitons 472
13.4 Dark and Vortex Solitons 480
References 486
Chapter 14. Related Concepts 489
14.1 Self-Focusing and Solitons in Liquid Crystals 489
14.2 Self-Written Waveguides 497
14.3 Dissipative and Cavity Solitons 504
14.4 Magnetic Solitons 519
14.5 Bose–Einstein Condensates 526
References 538
Index 544
Erscheint lt. Verlag | 12.6.2003 |
---|---|
Sprache | englisch |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Optik |
Technik ► Elektrotechnik / Energietechnik | |
Technik ► Nachrichtentechnik | |
ISBN-10 | 0-08-053809-6 / 0080538096 |
ISBN-13 | 978-0-08-053809-9 / 9780080538099 |
Haben Sie eine Frage zum Produkt? |
![PDF](/img/icon_pdf_big.jpg)
Größe: 30,0 MB
Kopierschutz: Adobe-DRM
Adobe-DRM ist ein Kopierschutz, der das eBook vor Mißbrauch schützen soll. Dabei wird das eBook bereits beim Download auf Ihre persönliche Adobe-ID autorisiert. Lesen können Sie das eBook dann nur auf den Geräten, welche ebenfalls auf Ihre Adobe-ID registriert sind.
Details zum Adobe-DRM
Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.
Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen eine
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen eine
Geräteliste und zusätzliche Hinweise
Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.
aus dem Bereich