Optical Solitons in Fibers

Optical Solitons in Fibers by Akira Hasegawa, Masayuki Matsumoto.

Optical solitons in fibers are a beautiful example of how an abstract mathematical concept has had an impact on new information transmission technologies. The concept of all-optical data transmission with optical soliton systems is now setting the standard for the most advanced transmission systems....

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Bibliographic Details
Main Authors: Hasegawa, Akira (Author), Matsumoto, Masayuki (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
Edition:3rd ed. 2003.
Series:Springer Series in Photonics, 9
Springer eBook Collection.
Subjects:
Elementary particles (Physics).
Quantum field theory.
Lasers.
Photonics.
Quantum optics.
Microwaves.
Optical engineering.
Electrical engineering.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1. Introduction
  • 2. Wave Motion
  • 2.1 What is Wave Motion?
  • 2.2 Dispersive and Nonlinear Effects of a Wave
  • 2.3 Solitary Waves and the Korteweg de Vries Equation
  • 2.4 Solution of the Korteweg de Vries Equation
  • 3. Lightwave in Fibers
  • 3.1 Polarization Effects
  • 3.2 Plane Electromagnetic Waves in Dielectric Materials
  • 3.3 Kerr Effect and Kerr Coefficient
  • 3.4 Dielectric Waveguides
  • 4. Information Transfer in Optical Fibers and Evolution of the Lightwave Packet
  • 4.1 How Information is Coded in a Lightwave
  • 4.2 How Information is Transferred in Optical Fibers
  • 4.3 Master Equation for Information Transfer in Optical Fibers: The Nonlinear Schrödinger Equation
  • 4.4 Evolution of the Wave Packet Due to the Group Velocity Dispersion
  • 4.5 Evolution of the Wave Packet Due to the Nonlinearity
  • 4.6 Technical Data of Dispersion and Nonlinearity in a Real Optical Fiber
  • 4.7 Nonlinear Schrödinger Equation and a Solitary Wave Solution
  • 4.8 Modulational Instability
  • 4.9 Induced Modulational Instability
  • 4.10 Modulational Instability Described by the Wave Kinetic Equation
  • 5. Optical Solitons in Fibers
  • 5.1 Soliton Solutions and the Results of Inverse Scattering
  • 5.2 Soliton Periods
  • 5.3 Conservation Quantities of the Nonlinear Schrödinger Equation
  • 5.4 Dark Solitons
  • 5.5 Soliton Perturbation Theory
  • 5.6 Effect of Fiber Loss
  • 5.7 Effect of the Waveguide Property of a Fiber
  • 5.8 Condition of Generation of a Soliton in Optical Fibers
  • 5.9 First Experiments on Generation of Optical Solitons
  • 6. All-Optical Soliton Transmission Systems
  • 6.1 Raman Amplification and Reshaping of Optical Solitons-First Concept of All-Optical Transmission Systems
  • 6.2 First Experiments of Soliton Reshaping and of Long Distance Transmission by Raman Amplifications
  • 6.3 First Experiment of Soliton Transmission by Means of an Erbium Doped Fiber Amplifier
  • 6.4 Concept of the Guiding Center Soliton
  • 6.5 The Gordon-Haus Effect and Soliton Timing Jitter
  • 6.6 Interaction Between Two Adjacent Solitons
  • 6.7 Interaction Between Two Solitons in Different Wavelength Channels
  • 7. Control of Optical Solitons
  • 7.1 Frequency-Domain Control
  • 7.2 Time-Domain Control
  • 7.3 Control by Means of Nonlinear Gain
  • 7.4 Numerical Examples of Soliton Transmission Control
  • 8. Influence of Higher-Order Terms
  • 8.1 Self-Frequency Shift of a Soliton Produced by Induced Raman Scattering
  • 8.2 Fission of Solitons Produced by Self-Induced Raman Scattering
  • 8.3 Effects of Other Higher-Order Dispersion
  • 9. Polarization Effects
  • 9.1 Fiber Birefringence and Coupled Nonlinear Schrödinger Equations
  • 9.2 Solitons in Fibers with Constant Birefringence
  • 9.3 Polarization-Mode Dispersion
  • 9.4 Solitons in Fibers with Randomly Varying Birefringence
  • 10. Dispersion-Managed Solitons (DMS)
  • 10.1 Problems in Conventional Soliton Transmission
  • 10.2 Dispersion Management with Dispersion-Decreasing Fibers
  • 10.3 Dispersion Management with Dispersion Compensation
  • 10.4 Quasi Solitons
  • 11. Application of Dispersion Managed Solitons for Single-Channel Ultra-High Speed Transmissions
  • 11.1 Enhancement of Pulse Energy
  • 11.2 Reduction of Gordon-Haus Timing Jitter
  • 11.3 Interaction Between Adjacent Pulses
  • 11.4 Dense Dispersion Management
  • 11.5 Nonstationary RZ Pulse Propagation
  • 11.6 Some Recent Experiments
  • 12. Application of Dispersion Managed Solitons for WDM Transmission
  • 12.1 Frequency Shift Induced by Collisions Between DM Solitons in Different Channels
  • 12.2 Temporal Shift Induced by Collisions Between DM Solitons in Different Channels
  • 12.3 Doubly Periodic Dispersion Management
  • 12.4 Some Recent WDM Experiments Using DM Solitons
  • 13. Other Applications of Optical Solitons
  • 13.1 Soliton Laser
  • 13.2 Pulse Compression
  • 13.3 All-Optical Switching
  • 13.4 Solitons in Fibers with Gratings
  • 13.5 Solitons in Microstructure Optical Fibers
  • References.

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