Odyssey of light in nonlinear optical fibers : theory and applications

Content: Basic Nonlinear FiberopticsK. Thyagarajan and Ajoy GhatakIntroductionModes of a Step Index FiberGuided Modes of a Step Index FiberSingle-Mode FiberPulse Dispersion in Optical FibersNonlinear Effects in Optical FibersNonlinear Schrdinger EquationSpectral Broadening Due to SPMWaveguide Electromagnetic Pulse Dynamics: Projecting Operators MethodMateusz Kuszner and Sergey LebleIntroductionTheory of Initialization of a Pulse PropagationComparison of Results Obtained with the Multiple Scale MethodProjection Method for Boundary Regime PropagationCylindrical WaveguideIncluding NonlinearityConclusionCoupled-Mode Dynamics in Continuous and Discrete Nonlinear Optical SystemsAlejandro AcevesCoupled-Mode Dynamics in Nonlinear Optical SystemsParity-Time Optical Coupled SystemsBinary ArraysDual Core Photonic Crystal FiberFiber AmplifiersFuture Directions and ConclusionsThe Continuous-Discrete Duality of the Nonlinear Schrdinger and Ablowitz-Ladik Rogue Wave HierarchiesA. Ankiewicz, D. J. Kedziora, and N. AkhmedievIntroductionTheoryRogue Wave TripletDiscretization EffectsAblowitz-Ladik Rogue Wave HierarchyConclusionA Theoretical Study on Modulational Instability in Relaxing Saturable Nonlinear Optical MediaK. Porsezian and K. NithyanandanIntroductionScalar MI in the Relaxing SNL SystemVector MI in a Relaxing System with the Effect of Walk-Off and Higher Order DispersionMI in Two-Core Nonlinear Directional Coupler with Relaxing NonlinearityMI in a Two-Core Fiber with the Effects of Saturable Nonlinearity and Coupling Coefficient DispersionTwo-State Behavior in the Instability Spectrum of a Saturable Nonlinear SystemMI in a Semiconductor Doped Dispersion-Decreasing FiberSummary and ConclusionModulational Instabilities in a System of Four Coupled, Nonlinear Schrdinger Equations with the Effect of Coupling CoefficientH. Tagwo, S. Abdoulkary, A. Mohamadou, C. G. Latchio Tiofack, and T. C. KofaneIntroductionModelLinear Stability AnalysisModulational Instability GainPropagation of Waves through the SystemConclusionHidden Symmetry Reductions and the Ablowitz-Kaup-Newell-Segur Hierarchies for Nonautonomous SolitonsV. N. Serkin, A. Hasegawa, and T. L. BelyaevaIntroductionHusimi-Taniuti and Talanov Transformations in Quantum Mechanics and the Soliton TheoryLax Operator Method and Exact Integrability of Nonautonomous Nonlinear and Dispersive Models with External PotentialsNonautonomous Nonlinear Evolution EquationsGeneralized NLSE and Nonautonomous SolitonsSoliton Adaptation Law to External PotentialsBright and Dark NLSE Nonautonomous SolitonsColored Nonautonomous SolitonsConclusionHot Solitons, Cold Solitons, and Hybrid Solitons in Fiberoptic WaveguidesP. Tchofo Dinda, E. Tchomgo Felenou, and C. M. NgabirengIntroductionIsothermic SolitonsHyperthermic SolitonsHypothermic SolitonsHybrid SolitonsOptical Solitary Modes Pumped by Localized GainBoris A. MalomedIntroduction and ModelsDissipative Solitons Pinned to Hot Spots in the Ordinary WaveguideSolitons Pinned to the PT-Symmetric DipoleGap Solitons Supported by a Hot Spot in the Bragg GratingDiscrete Solitons Pinned to the Hot Spot in the Lossy LatticeConclusionExploring the Frontiers of Mode Locking with Fiber LasersPhilippe GreluIntroductionSoliton Rain DynamicsChaotic Pulse BunchesConclusionMatter Wave Solitons and Other Localized Excitations in Bose-Einstein Condensates in Atom Optics P. Muruganandam and M. LakshmananIntroductionGross-Pitaevskii EquationMatter Wave Bright and Dark SolitonsMatter Wave Solitons in Multi-Component BECsSummaryPT-Symmetric SolitonsChandroth P. Jisha and Alessandro AlberucciIntroductionRuling EquationPT Linear ModesNonlinear ModesVariational Approach for Periodic Potential and Defocusing NonlinearityStability AnalysisDynamical Evolution of the SolitonConclusionSuspended Core Photonic Crystal Fibers and Generation of Dual RadiationSamudra Roy, Debashri Ghosh, and Shyamal K. BhadraIntroductionSolid Core Photonic Crystal Fiber: A Brief OutlineGroup Velocity DispersionFabrication of Suspended Core PCFsCharacteristics of Suspended Core PCFDual-Resonant RadiationParabolic Similaritons in Optical FibersFinot Christophe and Boscolo SoniaIntroductionShort-Pulse Dynamics in Normally Dispersive FibersProperties of Self-Similar Pulses and Extension to Other ConfigurationsExperimental Generation of Parabolic Pulse ShapeApplications of Parabolic PulsesConclusionBrillouin Scattering: From Characterization to Novel ApplicationsVictor Lambin Iezzi, Sebastien Loranger, and Raman KashyapIntroductionBasic ConceptsBrillouin Fiber LaserBrillouin Scattering for SensorsConclusionNonlinear Waves in Metamaterials-Forward and Backward Wave Interaction Andrei I. MaimistovIntroductionForward and Backward WavesResonant Interaction of Forward and Backward WavesParametric InteractionWaveguide Systems: Couplers, Arrays, and BundlesOptical Back Propagation for Compensation of Dispersion and Nonlinearity in Fiberoptic Transmission SystemsXiaojun Liang, Jing Shao, and Shiva KumarIntroductionOptical Back Propagation Using Optical Phase ConjugationOptical Back Propagation with Optimal Step SizeIdeal Optical Back Propagation Using Dispersion-Decreasing FiberConclusionEigenvalue Communications in Nonlinear Fiber ChannelsJaroslaw E. Prilepsky and Sergei K. TuritsynIntroduction and Main Model DescriptionNonlinear Fourier Transform Associated with NLSETransmission Using Continuous Nonlinear Spectrum-Normal Dispersion CaseMethod of Nonlinear and Linear Spectra Equalization for Low Energy Signals-Anomalous DispersionNonlinear Inverse Synthesis (NIS) Method-Anomalous DispersionConclusionDigital Coherent Technology-Based Eigenvalue Modulated Optical Fiber Transmission SystemAkihiro Maruta, Yuki Matsuda, Hiroki Terauchi, and Akifumi ToyotaIntroductionPrinciple of Eigenvalue DemodulationNumerical Demonstration of Eigenvalue Modulated TransmissionExperimental Demonstration of Eigenvalue Modulated TransmissionNoise Tolerance of EigenvaluesConclusionQuantum Field Theory Analog Effects in Nonlinear Photonic WaveguidesAndrea Marini and Fabio BiancalanaOptical Analog of Relativistic Dirac Solitons in Binary Waveguide ArraysOptical Analog of Spontaneous Symmetry Breaking and Tachyon Condensation in Plasmonic ArraysOptical Analog of Neutrino Oscillations in Binary Waveguide ArraysNegative Frequencies in Nonlinear Optics