Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications, 1st Edition (e-Book) book cover

Odyssey of Light in Nonlinear Optical Fibers

Theory and Applications, 1st Edition

Edited by Kuppuswamy Porsezian, Ramanathan Ganapathy

CRC Press

568 pages | 215 B/W Illus.

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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.

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

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

About the Editors

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.

Subject Categories

BISAC Subject Codes/Headings:
SCI055000
SCIENCE / Physics
TEC019000
TECHNOLOGY & ENGINEERING / Lasers & Photonics