Nonlinear Fiber Optics, 4th Edition

Nonlinear Fiber Optics, 4th Edition

by Govind Agrawal
Released July 2010
Publisher(s): Academic Press
ISBN: 9780080555423

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Book description

Since the 3rd edition appeared, a fast evolution of the field has occurred. The fourth edition of this classic work provides an up-to-date account of the nonlinear phenomena occurring inside 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 solitons. Many new figures have been added to help illustrate the concepts discussed in the book.

Table of contents

  1. Front cover
  2. Nonlinear Fiber Optics Fourth Edition
  3. Copyright
  4. Contents (1/2)
  5. Contents (2/2)
  6. Preface
  7. Chapter 1 - Introduction
    1. Historical Perspective
    2. Fiber Characteristics
      1. Material and Fabrication
      2. Fiber Losses
      3. Chromatic Dispersion
      4. Polarization-Mode Dispersion
    3. Fiber Nonlinearities
      1. Nonlinear Refraction
      2. Stimulated Inelastic Scattering
      3. Importance of Nonlinear Effects
    4. Overview
    5. Problems
    6. References
  8. Chapter 2 - Pulse Propagation in Fibers
    1. Maxwell’s Equations
    2. Fiber Modes
      1. Eigenvalue Equation
      2. Single-Mode Condition
      3. Characteristics of the Fundamental Mode
    3. Pulse-Propagation Equation
      1. Nonlinear Pulse Propagation
      2. Higher-Order Nonlinear Effects
    4. Numerical Methods
      1. Split-Step Fourier Method
      2. Finite-Difference Methods
    5. Problems
    6. References
  9. Chapter 3 - Group-Velocity Dispersion
    1. Different Propagation Regimes
    2. Dispersion-Induced Pulse Broadening
      1. Gaussian Pulses
      2. Chirped Gaussian Pulses
      3. Hyperbolic Secant Pulses
      4. Super-Gaussian Pulses
      5. Experimental Results
    3. Third-Order Dispersion
      1. Evolution of Chirped Gaussian Pulses
      2. Broadening Factor
      3. Arbitrary-Shape Pulses
      4. Ultrashort-Pulse Measurements
    4. Dispersion Management
      1. GVD-Induced Limitations
      2. Dispersion Compensation
      3. Compensation of Third-Order Dispersion
    5. Problems
    6. References
  10. Chapter 4 - Self-Phase Modulation
    1. SPM-Induced Spectral Changes
      1. Nonlinear Phase Shift
      2. SPM-Induced Spectral Changes
      3. Changes in Pulse Spectra
      4. SPM-Induced Spectral Changes
      5. Effect of Pulse Shape and Initial Chirp
      6. SPM-Induced Spectral Changes
      7. Effect of Partial Coherence
    2. Effect of Group-Velocity Dispersion
      1. Pulse Evolution
      2. Effect of Group-Velocity Dispersion
      3. Broadening Factor
      4. Effect of Group-Velocity Dispersion
      5. OpticalWave Breaking
      6. Experimental Results
      7. Effect of Third-Order Dispersion
      8. SPM Effects in Fiber Amplifiers
      9. Effect of Group-Velocity Dispersion
    3. Semianalytic Techniques
      1. Moment Method
      2. Variational Method
      3. Specific Analytic Solutions
    4. Higher-Order Nonlinear Effects
      1. Self-Steepening
      2. Effect of GVD on Optical Shocks
      3. Intrapulse Raman Scattering
    5. Problems
    6. References
  11. Chapter 5 - Optical Solitons
    1. Modulation Instability
      1. Linear Stability Analysis
      2. Gain Spectrum
      3. Modulation Instability
      4. Experimental Results
      5. Modulation Instability
      6. Ultrashort Pulse Generation
      7. Modulation Instability
      8. Impact on Lightwave Systems
    2. Fiber Solitons
      1. Inverse Scattering Method
      2. Fiber Solitons
      3. Fundamental Soliton
      4. Higher-Order Solitons
      5. Experimental Confirmation
      6. Soliton Stability
    3. Other Types of Solitons
      1. Dark Solitons
      2. Dispersion-Managed Solitons
      3. Bistable Solitons
    4. Perturbation of Solitons
      1. Perturbation Methods
      2. Fiber Losses
      3. Soliton Amplification
      4. Soliton Interaction
    5. Higher-Order Effects
      1. Moment Equations for Pulse Parameters
      2. Third-Order Dispersion
      3. Self-Steepening
      4. Intrapulse Raman Scattering
      5. Propagation of Femtosecond Pulses
    6. Problems
    7. References (1/2)
    8. References (2/2)
  12. Chapter 6 - Polarization Effects
    1. Nonlinear Birefringence
      1. Origin of Nonlinear Birefringence
      2. Coupled-Mode Equations
      3. Elliptically Birefringent Fibers
    2. Nonlinear Phase Shift
      1. Nondispersive XPM
      2. Optical Kerr Effect
      3. Nonlinear Phase Shift
      4. Pulse Shaping
    3. Evolution of Polarization State
      1. Analytic Solution
      2. Evolution of Polarization State
      3. Poincar´e-Sphere Representation
      4. Evolution of Polarization State
      5. Polarization Instability
      6. Polarization Chaos
    4. Vector Modulation Instability
      1. Low-Birefringence Fibers
      2. High-Birefringence Fibers
      3. Vector Modulation Instability
      4. Isotropic Fibers
      5. Experimental Results
    5. Birefringence and Solitons
      1. Low-Birefringence Fibers
      2. High-Birefringence Fibers
      3. Birefringence and Solitons
      4. Soliton-Dragging Logic Gates
      5. Vector Solitons
    6. Random Birefringence
      1. Polarization-Mode Dispersion
      2. Vector Form of the NLS Equation
      3. Effects of PMD on Solitons
      4. Random Birefringence
    7. Problems
    8. References
  13. Chapter 7 - Cross-Phase Modulation
    1. XPM-Induced Nonlinear Coupling
      1. Nonlinear Refractive Index
      2. Coupled NLS Equations
    2. XPM-Induced Modulation Instability
      1. Linear Stability Analysis
      2. Experimental Results
    3. XPM-Paired Solitons
      1. Bright–Dark Soliton Pair
      2. Bright–Gray Soliton Pair
      3. Periodic Solutions
      4. Multiple Coupled NLS Equations
    4. Spectral and Temporal Effects
      1. Asymmetric Spectral Broadening
      2. Asymmetric Temporal Changes
      3. Spectral and Temporal Effects
      4. Spectral and Temporal Effects
      5. Higher-Order Nonlinear Effects
    5. Applications of XPM
      1. XPM-Induced Pulse Compression
      2. Applications of XPM
      3. Applications of XPM
      4. XPM-Induced Optical Switching
      5. XPM-Induced Nonreciprocity
      6. Applications of XPM
    6. Polarization Effects
      1. Vector Theory of XPM
      2. Polarization Evolution
      3. Polarization-Dependent Spectral Broadening
      4. Pulse Trapping and Compression
      5. XPM-InducedWave Breaking
    7. XPM Effects in Birefringent Fibers
      1. Fibers with Low Birefringence
      2. Fibers with High Birefringence
    8. Problems
    9. References
  14. Chapter 8 - Stimulated Raman Scattering
    1. Basic Concepts
      1. Raman-Gain Spectrum
      2. Raman Threshold
      3. Coupled Amplitude Equations
      4. Effect of Four-Wave Mixing
    2. Quasi-Continuous SRS
      1. Single-Pass Raman Generation
      2. Raman Fiber Lasers
      3. Raman Fiber Amplifiers
      4. Raman-Induced Crosstalk
    3. SRS with Short Pump Pulses
      1. Pulse-Propagation Equations
      2. SRS with Short Pump Pulses
      3. Nondispersive Case
      4. SRS with Short Pump Pulses
      5. Effects of GVD
      6. Experimental Results
      7. Synchronously Pumped Raman Lasers
      8. Short-Pulse Raman Amplification
    4. Soliton Effects
      1. Raman Solitons
      2. Raman Soliton Lasers
      3. Soliton-Effect Pulse Compression
    5. Polarization Effects
      1. Vector Theory of Raman Amplification
      2. PMD Effects on Raman Amplification
    6. Problems
    7. References (1/2)
    8. References (2/2)
  15. Chapter 9 - Stimulated Brillouin Scattering
    1. Basic Concepts
      1. Physical Process
      2. Brillouin-Gain Spectrum
    2. Quasi-CW SBS
      1. Brillouin Threshold
      2. Polarization Effects
      3. Quasi-CW SBS
      4. Techniques for Controlling the SBS Threshold
      5. Experimental Results
    3. Brillouin Fiber Amplifiers
      1. Gain Saturation
      2. Amplifier Design and Applications
    4. SBS Dynamics
      1. Coupled Amplitude Equations
      2. SBS with Q-Switched Pulses
      3. SBS Dynamics
      4. SBS-Induced Index Changes
      5. Relaxation Oscillations
      6. Modulation Instability and Chaos
    5. Brillouin Fiber Lasers
      1. CW Operation
      2. Pulsed Operation
    6. Problems
    7. References
  16. Chapter 10 - Four-Wave Mixing
    1. Origin of Four-Wave Mixing
    2. Theory of Four-Wave Mixing
      1. Coupled Amplitude Equations
      2. Approximate Solution
      3. Effect of Phase Matching
      4. Ultrafast Four-Wave Mixing
    3. Phase-Matching Techniques
      1. Physical Mechanisms
      2. Phase Matching in Multimode Fibers
      3. Phase Matching in Single-Mode Fibers
      4. Phase Matching in Birefringent Fibers
    4. Parametric Amplification
      1. Review of EarlyWork
      2. Gain Spectrum and Its Bandwidth
      3. Parametric Amplification
      4. Single-Pump Configuration
      5. Dual-Pump Configuration
      6. Parametric Amplification
      7. Effects of Pump Depletion
    5. Polarization Effects
      1. Vector Theory of Four-Wave Mixing
      2. Polarization Effects
      3. Polarization Dependence of Parametric Gain
      4. Linearly and Circularly Polarized Pumps
      5. Effect of Residual Fiber Birefringence
    6. Applications of Four-Wave Mixing
      1. Parametric Oscillators
      2. Ultrafast Signal Processing
      3. Applications of Four-Wave Mixing
      4. Quantum Noise and Correlation
    7. Problems
    8. References (1/2)
    9. References (2/2)
  17. Chapter 11 - Highly Nonlinear Fibers
    1. Nonlinear Parameter
      1. Units and Values of n2
      2. SPM-Based Techniques
      3. XPM-Based Technique
      4. FWM-Based Technique
      5. Nonlinear Parameter
      6. Variations in n2 Values
    2. Fibers with Silica Cladding
    3. Fibers with Silica Cladding
    4. Tapered Fibers with Air Cladding
    5. Tapered Fibers with Air Cladding
    6. Tapered Fibers with Air Cladding
    7. Microstructured Fibers
    8. Microstructured Fibers
    9. Non-Silica Fibers
    10. Non-Silica Fibers
    11. Problems
    12. References
  18. Chapter 12 - Novel Nonlinear Phenomena
    1. Intrapulse Raman Scattering
      1. Enhanced RIFS and Wavelength Tuning
      2. Intrapulse Raman Scattering
      3. Nonsolitonic Radiation
      4. Intrapulse Raman Scattering
      5. Effects of Birefringence
      6. Intrapulse Raman Scattering
      7. Suppression of Raman-Induced Frequency Shifts
      8. Intrapulse Raman Scattering
    2. Four-Wave Mixing
      1. FWM in Highly Nonlinear Fibers
      2. Four-Wave Mixing
      3. Four-Wave Mixing
      4. Effects of Fiber Birefringence
    3. Supercontinuum Generation
      1. Pumping with Picosecond Pulses
      2. Continuous-Wave Pumping
      3. Pumping with Femtosecond Pulses
    4. Temporal and Spectral Evolution
      1. Numerical Modeling of Supercontinuum
      2. Temporal and Spectral Evolution
      3. Soliton Fission and Nonsolitonic Radiation
      4. Temporal and Spectral Evolution
      5. Effects of Cross-Phase Modulation
      6. Temporal and Spectral Evolution
      7. Polarization Effects
      8. Temporal and Spectral Evolution
      9. Coherence Properties of a Supercontinuum
    5. Harmonic Generation
      1. Second-Harmonic Generation
      2. Harmonic Generation
      3. SHG Theory
      4. Harmonic Generation
      5. Third-Harmonic Generation
      6. Harmonic Generation
      7. Effects of Group-Velocity Mismatch
    6. Problems
    7. References (1/2)
    8. References (2/2)
  19. Appendix A - System of Units
  20. Appendix B - Numerical Code for the NLS Equation
  21. Appendix C - List of Acronyms
  22. Index (1/2)
  23. Index (2/2)

Product information

  • Title: Nonlinear Fiber Optics, 4th Edition
  • Author(s): Govind Agrawal
  • Release date: July 2010
  • Publisher(s): Academic Press
  • ISBN: 9780080555423