Optical Multi-Bound Solitons describes the generation and transmission of multi-bound solitons with the potential to form the basis of the temporal coding of optical data packets for next-generation nonlinear optical systems. The book deals with nonlinear systems in terms of their fundamental principles, associated phenomena, and signal processing applications in contemporary optical systems for communications and laser systems, with a touch of mathematical representation of nonlinear equations to offer insight into the nonlinear dynamics at different phases. The text not only delineates the strong background physics of such systems but also:
- Discusses the phase evolution of the optical carriers under the soliton envelopes for the generation of multi-bound solitons
- Explains the generation of multi-bound solitons through optical fibers
- Examines new types of multi-bound solitons in passive and active optical resonators
- Conducts bi-spectral analyses of multi-bound solitons to identify the phase and power amplitude distribution property of bound solitons
- Presents experimental techniques for the effective generation of bound solitons
Optical Multi-Bound Solitons provides extensive coverage of multi-bound solitons from the dynamics of their formation to their transmission over guided optical media. Appendices are included to supplement a number of essential definitions, mathematical representations, and derivations, making this book an ideal theoretical reference text as well as a practical professional guidebook.
Introduction
Ultrashort Pulse and Multi-Bound Solitons
Mode-Locked Fiber Lasers as Soliton and Multi-Bound Soliton Generators
Nonlinear Effects and Higher-Order Spectral Analyses
Motivation and Objectives of the Book Chapters
Organization of the Chapters
References
Generations of Solitons in Optical Fiber Ring Resonators
Nonlinear Schrodinger Equations
Optical Solitons
Generation of Solitons Using Nonlinear Optical Fiber Ring Resonators
Actively FM Mode-Locked Fiber Rings: An Experiment
Simulation of Actively FM Mode-Locked Fiber Laser
Concluding Remarks
References
Multi-Bound Solitons: Fundamentals and Generations
Introductory Remarks
Bound Solitons by Passive Mode-Locking
Bound Solitons by Active Mode-Locking
Relative Phase Difference of Multi-Bound Solitons
Multi-Bound and Saddle Solitons: Experimental Observations
Concluding Remarks
References
Multi-Bound Solitons under Carrier Phase Modulation
Electro-Optic Phase Modulators
Characterization Measurements
Comb Spectrum in Actively Mode-Locked Fiber Ring Resonator Incorporating Phase Modulator
Influence of Phase Modulator on Multi-Bound Solitons
Concluding Remarks
References
Bound-Soliton Bispectra and Nonlinear Photonic Signal Processing
Bispectrum of Multi-Bound Solitons
Third-Order Nonlinearity Four-Wave Mixing for Photonic Signal Processing
Applications of FWM in Photonic Signal Processing
Concluding Remarks
References
Solitons and Multi-Bound Solitons in Passive Mode-Locked Fiber Lasers
Introductory Remarks
Soliton Generation by Passively Mode-Locked Fiber Lasers
Soliton Dynamics in Dual-Polarization Mode-Locked Fiber Lasers
Soliton Deterministic Dynamics in Fiber Lasers: Simulation
Cavity-Induced Soliton Modulation Instability Effect
Multisoliton Formation and Soliton Energy Quantization in Passively Mode-Locked Fiber Lasers
Concluding Remarks
References
Multirate Multiplication Soliton Fiber Ring and Nonlinear Loop Lasers
Introduction
Active Mode-Locked Fiber Ring Laser by Rational Harmonic Detuning
Repetition-Rate Multiplication Ring Laser Using Temporal Diffraction Effects
Bistability, Bifurcation, and Chaos in Nonlinear Loop Fiber Lasers
Concluding Remarks
References
Optical Multisoliton Transmission
Introduction
Fundamentals of Nonlinear Propagation Theory
Numerical Approach
Fundamental and Higher-Order Solitons
Interaction of Fundamental Solitons
Soliton Pulse Transmission Systems and ISM
Interaction between Two Solitons in an Optical Fiber
Generation and Transmission of Multi-Bound Solitons: Experiments
References
Concluding Remarks
References
Appendix A: Generic Mathematical Aspects of Nonlinear Dynamics
Introductory Remarks
Nonlinear Systems: Phase Spaces and Dynamical States
Bifurcation
Chaos
Concluding Remarks
References
Appendix B: Derivation of the Nonlinear Schrodinger Equation (NLSE)
Wave Equation in Nonlinear Optics
Generalized Nonlinear Schrodinger Equation
Appendix C: Calculation Procedures of Triple Correlation and Bispectrum with Examples
Triple Correlation and Bispectrum Estimation
Properties of Bispectrum
Bispectrum of Optical Pulse Propagation
Reference
Appendix D: Simulink Models
MATLAB® and Simulink® Modeling Platforms
Wavelength Converter in WDM System
Nonlinear Phase Conjugation for Mid-Link Spectral Inversion
Pulse Generator
OTDM Demultiplexer
Triple Correlation
Reference
Appendix E: Optical Waveguides
Overview
Optical Fiber: General Properties
Signal Propagation in Optical Fibers
Transfer Function of Single Mode Fibers
Fiber Nonlinearity
Numerical Solution: Split-Step Fourier Method
References
Biography
Le Nguyen Binh holds a B.Eng (Hons) and Ph.D from the University of Western Australia. He is currently a technical director at Huawei’s European Research Centre in Munich, Germany, and has been awarded three Huawei Technologies Gold Medals for his work on advanced optical communication technologies. He was previously the chair of Commission D (Electronics and Photonics) of the National Committee for Radio Sciences of the Australian Academy of Sciences, and a professorial fellow at Nanyang Technological University, Christian-Albrechts-Universität zu Kiel, and various Australian universities. Widely published, Dr. Binh is the series editor of Photonics and Optics for CRC Press.
"The author gives a very clear and useful description of nonlinear systems in terms of their fundamental principles, associated phenomena and signal processing applications for communications and laser systems. The book is a valuable addition to the field’s literature and complements other existing works. I would recommend this book especially to young researchers—they can learn about scientific results along with applications in optical communications. It also provides insight into developing original strategies when working with the difficult mathematical problems arising in chaos and solitons in complex systems."
—Optics & Photonics News, February 2016
