Femtosecond Optical Superregular Breathers
Chong Liu, Lei Wang, Zhan-Ying Yang, Wen-Li Yang

TL;DR
This paper explores femtosecond optical superregular breathers in fibers, revealing unique suppression states and nonlinear dynamics absent in longer picosecond regimes, confirmed through numerical simulations.
Contribution
It demonstrates the existence of half-transition and full-suppression SR breather states in femtosecond regimes, highlighting new nonlinear behaviors in optical fibers.
Findings
Full-suppression mode linked to zero growth rate of modulation instability
Robustness of SR modes confirmed in integrable and nonintegrable cases
Distinct dynamics compared to picosecond regime
Abstract
Superregular (SR) breathers are nonlinear wave structures formed by a unique nonlinear superposition of pairs of quasi-Akhmediev breathers. They describe a complete scenario of modulation instability that develops from localized small perturbations as well as an unusual quasiannihilation of breather collision. Here, we demonstrate that femtosecond optical SR breathers in optical fibers exhibit intriguing half-transition and full-suppression states, which are absent in the picosecond regime governed by the standard nonlinear Schr\"{o}dinger equation. In particular, the full-suppression mode, which is strictly associated with the regime of vanishing growth rate of modulation instability, reveals a crucial \textit{non-amplifying} nonlinear dynamics of localized small perturbations. We numerically confirm the robustness of such different SR modes excited from ideal and nonideal initial…
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Fiber Laser Technologies
