Weak and strong interactions between dark solitons and dispersive waves

Abstract

The effect of mutual interaction between dark solitons and dispersive waves is investigated numerically and analytically. The condition of the resonant scattering of dispersive waves on dark solitons is derived and compared against the results of numerical simulations. It is shown that the interaction with intense dispersive waves affects the dynamics of the soltons strongly changing their frequencies and accelerating or decelerating the solitons. It is also demonstrated that two dark solitons can form a cavity for dispersive weaves bouncing between the two dark solitons. The differences of the resonant scattering of the dispersive waves on the dark and bright solitons are discussed. In particular we demonstrate that two dark solitons and dispersive wave bouncing in between them create solitonic cavity with convex "mirrors" unlike the concave "mirror" in case of the bright solitons.

5 pages, 6 figures

References in corpus (7)

• Observation of attraction between dark solitons
• Stable dark solitons in PT-symmetric dual-core waveguides
• Resonant radiation shed by dispersive shock waves
• Parametric excitation of multiple resonant radiations from localized wavepackets
• Newton's cradles in optics: From to N-soliton fission to soliton chains
• Soliton interaction mediated by cascaded four wave mixing with dispersive waves
• Trapping of light in solitonic cavities and its role in the supercontinuum generation

Cited by in corpus (8)

• Interaction of high order solitons with external dispersive waves
• Emission of dispersive waves from a train of dark solitons in optical fibers
• Matter-wave dark solitons in box-like traps
• Spectral wings of the fiber supercontinuum and the dark-bright soliton interaction
• Emulation of Fabry-Perot and Bragg resonators with temporal optical solitons
• Collision between a dark soliton and a linear wave in an optical fiber
• Anderson localisation and optical-event horizons in rogue-soliton generation
• Cherenkov radiation and scattering of external dispersive waves by two-color solitons