Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation

Abstract

Numerical simulations of the onset phase of continuous wave supercontinuum generation from modulation instability show that the structure of the field as it develops can be interpreted in terms of the properties of Akhmediev Breathers. Numerical and analytical results are compared with experimental measurements of spectral broadening in photonic crystal fiber using nanosecond pulses

22 pages, 6 figures

References in corpus (3)

• Harnessing and control of optical rogue waves in supercontinuum generation
• Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime
• Optical Frequency Combs Generated by Four-Wave Mixing in Optical Fibers for Astrophysical Spectrometer Calibration and Metrology

Cited by in corpus (68)

• Instabilities, breathers and rogue waves in optics
• Capillary rogue waves
• Rogue waves and analogies in optics and oceanography
• Breather and Rogue Wave solutions of a Generalized Nonlinear Schrodinger Equation
• Optical Rogue Waves in integrable turbulence
• Rogue-wave solutions of a three-component coupled nonlinear Schrodinger equation
• High-order Rogue Waves in Vector Nonlinear Schrödinger Equations
• Real-time full bandwidth measurement of spectral noise in supercontinuum generation
• Recent advances in supercontinuum generation in specialty optical fibers [Invited]
• Few-cycle optical rogue waves:complex modified Korteweg-de Vries equation
• Universal Peregrine soliton structure in nonlinear pulse compression in optical fiber
• Localized nonlinear waves in a two-mode nonlinear fiber
• Quantitative Relation between Modulational Instability and Several Well-known Nonlinear Excitations
• Advances in mid-infrared spectroscopy enabled by supercontinuum laser sources
• High-order rogue waves for the Hirota equation
• Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations
• Rational W-shaped Optical Soliton on Continuous Wave in Presence of Kerr Dispersion and Stimulated Raman Scattering
• Instabilities, solitons, and rogue waves in PT-coupled nonlinear waveguides
• Symmetric and asymmetric optical multi-peak solitons on a continuous wave background in the femtosecond regime
• W-shaped solitons generated from a weak modulation in the Sasa-Satsuma equation
• On the statistical interpretation of optical rogue waves
• Nonlinear spectral analysis of Peregrine solitons observed in optics and in hydrodynamic experiments
• Dissipative Kerr solitons and Cherenkov radiation in optical microresonators with third order dispersion
• Kerr breather-soliton time crystals
• Anatomy of the Akhmediev breather: cascading instability, first formation time and Fermi-Pasta-Ulam recurrence
• Nonlinear random optical waves: integrable turbulence, rogue waves and intermittency
• Stable Soliton Excitations in Modulational Instability Regime with the Fourth-order Effects
• Rational solutions of the Boussinesq equation and applications to rogue waves
• The Mechanism of Kuznetsov-Ma Breather
• Akhmediev Breathers and Peregrine Solitary Waves in a Quadratic Medium
• Accelerated rogue waves generated by soliton fusion at the advanced stage of supercontinuum formation in photonic crystal fibers
• Growth rate of modulation instability driven by superregular breathers
• Rogue wave triggered at a critical frequency of a nonlinear resonant medium
• Peregrine Rogue Wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity
• Nonconservative higher-order hydrodynamic modulation instability
• Modulation instability and non-degenerate Akhmediev breathers of Manakov equations
• Optimal frequency conversion in the nonlinear stage of modulation instability
• Experimental realization of Fermi-Pasta-Ulam-Tsingou recurrence in a long-haul optical fiber transmission system
• Modulational Instability in Linearly Coupled Asymmetric Dual-Core Fibers
• Heteroclinic-structure transition of the pure quartic modulation instability
• Phase engineering of chirped rogue waves in Bose-Einstein condensates with a variable scattering length in an expulsive potential
• Fundamental and second-order dark soliton solutions of 2- and 3-component Manakov equations in the defocusing regime
• Chess-Board-Like Spatio-Temporal Interference Patterns and Their Excitation
• Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate
• Time-Reversal of Nonlinear Waves - Applicability and Limitations
• Generation of optical frequency combs via four-wave mixing processes for low- and medium-resolution astronomy
• On Rogue wave in the Kundu-DNLS equation
• Numerical spectral synthesis of breather gas for the focusing nonlinear Schrödinger equation
• Freezing Optical Rogue Waves by Zeno Dynamics
• Higher-order modulation instability and multi-Akhmediev breathers of Manakov equations: Frequency jumps over the stable gaps between the instability bands
• Peregrine rogue waves in the nonlocal nonlinear Schrödinger equation with parity-time symmetric self-induced potential
• High-power pulse trains excited by modulated continuous waves
• Several Localized Waves Induced by Linear Interference between a Nonlinear Plane Wave and Bright Solitons
• Modulation instability induced supercontinuum generation in liquid core suspended photonic crystal fiber with cubic-quintic nonlinearities
• Extreme events in a broad-area semiconductor laser with coherent injection
• Observation of the noise-driven thermalization of the Fermi-Pasta-Ulam-Tsingou recurrence in optical fibers
• Controllable generations of several nonlinear waves in optical fibers with third-order dispersion
• Extreme Events in Resonant Radiation from Three-dimensional Light Bullets
• Modulational instability in $\mathcal{P}\mathcal{T}$-symmetric Bragg grating structures with saturable nonlinearity
• Optical amplification and transmission of attenuated multi-soliton based on spectral characteristics of Akhmediev breather
• Temporal Talbot Effect: From a Quasi-Linear Talbot Carpet to Soliton Crystals and Talbot Solitons
• Soliton Radiation Beat Analysis of Optical Pulses Generated from Two CW Lasers
• Generating Gottesman-Kitaev-Preskill qubit using a cross-Kerr interaction between a squeezed light and Fock states in optics
• Phase-dependent spectral control of pulsed modulation instability via dichromatic seed fields
• Modal Group Velocity Mismatch Induced Intermodal Modulation Instability in Step-index Fiber
• Tsunami Solitons Emerging from Superconducting Gap
• Shannon Entropy Helps Optimize the Performance of a Frequency-Multiplexed Extreme Learning Machine
• Wigner instability analysis of the damped Hirota equation