1st Edition

Odyssey of Light in Nonlinear Optical Fibers
Theory and Applications





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ISBN 9781138749580
Published July 26, 2017 by CRC Press

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Book Description

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.

Table of Contents

Basic Nonlinear Fiberoptics
K. Thyagarajan and Ajoy Ghatak
Introduction
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
Introduction
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
Conclusion

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
Introduction
Theory
Rogue Wave Triplet
Discretization Effects
Ablowitz–Ladik Rogue Wave Hierarchy
Conclusion

A Theoretical Study on Modulational Instability in Relaxing Saturable Nonlinear Optical Media
K. Porsezian and K. Nithyanandan
Introduction
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
Introduction
Model
Linear Stability Analysis
Modulational Instability Gain
Propagation of Waves through the System
Conclusion

Hidden Symmetry Reductions and the Ablowitz–Kaup–Newell–Segur Hierarchies for Nonautonomous Solitons
V. N. Serkin, A. Hasegawa, and T. L. Belyaeva
Introduction
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
Conclusion

Hot Solitons, Cold Solitons, and Hybrid Solitons in Fiberoptic Waveguides
P. Tchofo Dinda, E. Tchomgo Felenou, and C. M. Ngabireng
Introduction
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
Conclusion

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

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

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

Suspended Core Photonic Crystal Fibers and Generation of Dual Radiation
Samudra Roy, Debashri Ghosh, and Shyamal K. Bhadra
Introduction
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
Introduction
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
Conclusion

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

Nonlinear Waves in Metamaterials—Forward and Backward Wave Interaction
Andrei I. Maimistov
Introduction
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
Introduction
Optical Back Propagation Using Optical Phase Conjugation
Optical Back Propagation with Optimal Step Size
Ideal Optical Back Propagation Using Dispersion-Decreasing Fiber
Conclusion

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
Conclusion

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

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

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Editor(s)

Biography

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.

Reviews

"… 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