1st Edition

Odyssey of Light in Nonlinear Optical Fibers Theory and Applications

Edited By Kuppuswamy Porsezian, Ramanathan Ganapathy Copyright 2016
    600 Pages
    by CRC Press

    600 Pages 215 B/W Illustrations
    by CRC Press

    Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications presents a collection of breakthrough research portraying the odyssey of light from optical solitons to optical rogue waves in nonlinear optical fibers. The book provides a simple yet holistic view on the theoretical and application-oriented aspects of light, with a special focus on the underlying nonlinear phenomena.

    Exploring the very frontiers of light-wave technology, the text covers the basics of nonlinear fiberoptics and the dynamics of electromagnetic pulse propagation in nonlinear waveguides. It also highlights some of the latest advances in nonlinear optical fiber technology, discussing hidden symmetry reductions and Ablowitz–Kaup–Newell–Segur (AKNS) hierarchies for nonautonomous solitons, state-of-the-art Brillouin scattering applications, backpropagation, and the concept of eigenvalue communication—a powerful nonlinear digital signal processing technique that paves the way to overcome the current limitations of traditional communications methods in nonlinear fiber channels.

    Key chapters study the feasibility of the eigenvalue demodulation scheme based on digital coherent technology by throwing light on the experimental study of the noise tolerance of the demodulated eigenvalues, investigate matter wave solitons and other localized excitations pertaining to Bose–Einstein condensates in atom optics, and examine quantum field theory analogue effects occurring in binary waveguide arrays, plasmonic arrays, etc., as well as their ensuing nonlinear wave propagation.

    Featuring a foreword by Dr. Akira Hasegawa, the father of soliton communication systems, Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications serves as a curtain raiser to usher in the photonics era. The technological innovations at the core of the book form the basis for the next generation of ultra-high speed computers and telecommunication devices.

    Basic Nonlinear Fiberoptics
    K. Thyagarajan and Ajoy Ghatak
    Modes of a Step Index Fiber
    Guided Modes of a Step Index Fiber
    Single-Mode Fiber
    Pulse Dispersion in Optical Fibers
    Nonlinear Effects in Optical Fibers
    Nonlinear Schrdinger Equation
    Spectral Broadening Due to SPM

    Waveguide Electromagnetic Pulse Dynamics: Projecting Operators Method
    Mateusz Kuszner and Sergey Leble
    Theory of Initialization of a Pulse Propagation
    Comparison of Results Obtained with the Multiple Scale Method
    Projection Method for Boundary Regime Propagation
    Cylindrical Waveguide
    Including Nonlinearity

    Coupled-Mode Dynamics in Continuous and Discrete Nonlinear Optical Systems
    Alejandro Aceves
    Coupled-Mode Dynamics in Nonlinear Optical Systems
    Parity-Time Optical Coupled Systems
    Binary Arrays
    Dual Core Photonic Crystal Fiber
    Fiber Amplifiers
    Future Directions and Conclusions

    The Continuous-Discrete Duality of the Nonlinear Schrdinger and Ablowitz–Ladik Rogue Wave Hierarchies
    A. Ankiewicz, D. J. Kedziora, and N. Akhmediev
    Rogue Wave Triplet
    Discretization Effects
    Ablowitz–Ladik Rogue Wave Hierarchy

    A Theoretical Study on Modulational Instability in Relaxing Saturable Nonlinear Optical Media
    K. Porsezian and K. Nithyanandan
    Scalar MI in the Relaxing SNL System
    Vector MI in a Relaxing System with the Effect of Walk-Off and Higher Order Dispersion
    MI in Two-Core Nonlinear Directional Coupler with Relaxing Nonlinearity
    MI in a Two-Core Fiber with the Effects of Saturable Nonlinearity and Coupling Coefficient Dispersion
    Two-State Behavior in the Instability Spectrum of a Saturable Nonlinear System
    MI in a Semiconductor Doped Dispersion-Decreasing Fiber
    Summary and Conclusion

    Modulational Instabilities in a System of Four Coupled, Nonlinear Schrdinger Equations with the Effect of Coupling Coefficient
    H. Tagwo, S. Abdoulkary, A. Mohamadou, C. G. Latchio Tiofack, and T. C. Kofane
    Linear Stability Analysis
    Modulational Instability Gain
    Propagation of Waves through the System

    Hidden Symmetry Reductions and the Ablowitz–Kaup–Newell–Segur Hierarchies for Nonautonomous Solitons
    V. N. Serkin, A. Hasegawa, and T. L. Belyaeva
    Husimi–Taniuti and Talanov Transformations in Quantum Mechanics and the Soliton Theory
    Lax Operator Method and Exact Integrability of Nonautonomous Nonlinear and Dispersive Models with External Potentials
    Nonautonomous Nonlinear Evolution Equations
    Generalized NLSE and Nonautonomous Solitons
    Soliton Adaptation Law to External Potentials
    Bright and Dark NLSE Nonautonomous Solitons
    Colored Nonautonomous Solitons

    Hot Solitons, Cold Solitons, and Hybrid Solitons in Fiberoptic Waveguides
    P. Tchofo Dinda, E. Tchomgo Felenou, and C. M. Ngabireng
    Isothermic Solitons
    Hyperthermic Solitons
    Hypothermic Solitons
    Hybrid Solitons

    Optical Solitary Modes Pumped by Localized Gain
    Boris A. Malomed
    Introduction and Models
    Dissipative Solitons Pinned to Hot Spots in the Ordinary Waveguide
    Solitons Pinned to the PT-Symmetric Dipole
    Gap Solitons Supported by a Hot Spot in the Bragg Grating
    Discrete Solitons Pinned to the Hot Spot in the Lossy Lattice

    Exploring the Frontiers of Mode Locking with Fiber Lasers
    Philippe Grelu
    Soliton Rain Dynamics
    Chaotic Pulse Bunches

    Matter Wave Solitons and Other Localized Excitations in Bose–Einstein Condensates in Atom Optics
    P. Muruganandam and M. Lakshmanan
    Gross–Pitaevskii Equation
    Matter Wave Bright and Dark Solitons
    Matter Wave Solitons in Multi-Component BECs

    PT-Symmetric Solitons
    Chandroth P. Jisha and Alessandro Alberucci
    Ruling Equation
    PT Linear Modes
    Nonlinear Modes
    Variational Approach for Periodic Potential and Defocusing Nonlinearity
    Stability Analysis
    Dynamical Evolution of the Soliton

    Suspended Core Photonic Crystal Fibers and Generation of Dual Radiation
    Samudra Roy, Debashri Ghosh, and Shyamal K. Bhadra
    Solid Core Photonic Crystal Fiber: A Brief Outline
    Group Velocity Dispersion
    Fabrication of Suspended Core PCFs
    Characteristics of Suspended Core PCF
    Dual-Resonant Radiation

    Parabolic Similaritons in Optical Fibers
    Finot Christophe and Boscolo Sonia
    Short-Pulse Dynamics in Normally Dispersive Fibers
    Properties of Self-Similar Pulses and Extension to Other Configurations
    Experimental Generation of Parabolic Pulse Shape
    Applications of Parabolic Pulses

    Brillouin Scattering: From Characterization to Novel Applications
    Victor Lambin Iezzi, Sébastien Loranger, and Raman Kashyap
    Basic Concepts
    Brillouin Fiber Laser
    Brillouin Scattering for Sensors

    Nonlinear Waves in Metamaterials—Forward and Backward Wave Interaction
    Andrei I. Maimistov
    Forward and Backward Waves
    Resonant Interaction of Forward and Backward Waves
    Parametric Interaction
    Waveguide Systems: Couplers, Arrays, and Bundles

    Optical Back Propagation for Compensation of Dispersion and Nonlinearity in Fiberoptic Transmission Systems
    Xiaojun Liang, Jing Shao, and Shiva Kumar
    Optical Back Propagation Using Optical Phase Conjugation
    Optical Back Propagation with Optimal Step Size
    Ideal Optical Back Propagation Using Dispersion-Decreasing Fiber

    Eigenvalue Communications in Nonlinear Fiber Channels
    Jaroslaw E. Prilepsky and Sergei K. Turitsyn
    Introduction and Main Model Description
    Nonlinear Fourier Transform Associated with NLSE
    Transmission Using Continuous Nonlinear Spectrum—Normal Dispersion Case
    Method of Nonlinear and Linear Spectra Equalization for Low Energy Signals—Anomalous Dispersion
    Nonlinear Inverse Synthesis (NIS) Method—Anomalous Dispersion

    Digital Coherent Technology-Based Eigenvalue Modulated Optical Fiber Transmission System
    Akihiro Maruta, Yuki Matsuda, Hiroki Terauchi, and Akifumi Toyota
    Principle of Eigenvalue Demodulation
    Numerical Demonstration of Eigenvalue Modulated Transmission
    Experimental Demonstration of Eigenvalue Modulated Transmission
    Noise Tolerance of Eigenvalues

    Quantum Field Theory Analog Effects in Nonlinear Photonic Waveguides
    Andrea Marini and Fabio Biancalana
    Optical Analog of Relativistic Dirac Solitons in Binary Waveguide Arrays
    Optical Analog of Spontaneous Symmetry Breaking and Tachyon Condensation in Plasmonic Arrays
    Optical Analog of Neutrino Oscillations in Binary Waveguide Arrays
    Negative Frequencies in Nonlinear Optics


    Kuppuswamy Porsezian received an M.Sc from the University of Madras, Chennai, India, and a Ph.D from Bhrathidasan University, Tiruchirapalli, India. After working as a research scientist with the SERC, Department of Science and Technology (DST), Government of India Project, he joined the Department of Physics, Anna University, Chennai, India as a lecturer. Highly decorated and widely published, Dr. Porsezian is currently a professor with the Department of Physics, Pondicherry University, Puducherry, India. His current research interests include solitons and modulational instability in nonlinear fiberoptics, self-induced transparency solitons, nonlinear pulse propagation in periodic structures, metamaterials and photonic crystal fibers, and integrability aspects of nonlinear partial differential equations. For his research work, he has received several awards and honors. He is also a fellow of the Indian Academy of Sciences and the National Academy of Sciences.

    Ramanathan Ganapathy received an M.Sc in physics from the University of Hyderabad, India, and an M.Phil and Ph.D in physics from Cochin University of Science and Technology, Kochi, India. Dr. Ganapathy worked as a post-doctoral fellow for three years in the CSIR-sponsored project Nonlinear Dynamics of Femtosecond Pulse Propagation in Nonlinear Fibers at Pondicherry University, India. Presently, he is working as a senior assistant professor at the Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA University, Thanjavur, India.

    "… a really outstanding collection of reviews presenting a broad view of the current theoretical and experimental research in photonics and related fields."
    —Boris Malomed, Department of Physical Electronics, Tel Aviv University, Israel

    "…multiple experts cover extensive ground in more than 20 chapters and nearly 570 pages. Some chapters assume that the reader is familiar with the basics, but regardless, chapters are well illustrated with good reference lists. Overall, it is a good book on nonlinear fibers covering basic theory and applications."
    Optics and Photonics News, October 2016