2015
DOI: 10.1364/ol.40.004871
|View full text |Cite
|
Sign up to set email alerts
|

Weak and strong interactions between dark solitons and dispersive waves

Abstract: The effect of mutual interactions 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 the numerical simulations. It is shown that the interaction with intense dispersive waves affects the dynamics of the solitons by accelerating, decelerating, or destroying them. It is also demonstrated that two dark solitons can form a cavity for dispersive waves bou… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

0
15
0

Year Published

2016
2016
2024
2024

Publication Types

Select...
9

Relationship

0
9

Authors

Journals

citations
Cited by 28 publications
(15 citation statements)
references
References 33 publications
0
15
0
Order By: Relevance
“…More recent studies have also investigated the interaction of an intense pulse with its own dispersive wave (DW) [15] or the trapping of a DW between two solitons [16,17]. Interactions involving higher order solitons [18] or dark solitons [19] have also been considered. Owing to the essential role played by the dispersion properties of the structure for the observation of an optical event horizon, almost all these demonstrations have been performed in photonic crystal fibers (PCF's), for which quasi on-demand dispersion properties can be engineered.…”
mentioning
confidence: 99%
“…More recent studies have also investigated the interaction of an intense pulse with its own dispersive wave (DW) [15] or the trapping of a DW between two solitons [16,17]. Interactions involving higher order solitons [18] or dark solitons [19] have also been considered. Owing to the essential role played by the dispersion properties of the structure for the observation of an optical event horizon, almost all these demonstrations have been performed in photonic crystal fibers (PCF's), for which quasi on-demand dispersion properties can be engineered.…”
mentioning
confidence: 99%
“…This process follows a phase matching relation, involving soliton and linear wave properties, that can be derived by a perturbative approach [9]. In a similar way, Oresnikov et al [18] used this perturbative method to derive the phase matching condition in the specific case of a linear wave interacting with a black soliton. In the present study, we generalize this approach to take into account the grayness of the dark soliton interacting with a linear wave.…”
Section: B Phase-matchingmentioning
confidence: 99%
“…where k(Ω p ) is the dispersion relation of the probe wave. The wave ψ can be efficiently amplified if one of the following conditions is satisfied [2,18,27,28]:…”
Section: Fundingmentioning
confidence: 99%
“…Since then numerous experimental demonstrations have been realized in optical fibers, by superimposing at the fiber input a weak probe wave together with an intense pulse [8,11,17], by the interaction of two pulses [18] or by the collision between an intense pulse and its own dispersive waves generated in topographic fibers designed for that purpose [19,20]. Recent theoretical studies have also investigated the interactions between dark solitons and dipersive waves [21] or the trapping of dispersive waves between two optical solitons which undergo multiple reflections between them [22]. The latter has also been demonstrated experimentally [23], and its role in the SCG has been theoretically studied [24][25][26].…”
Section: Introductionmentioning
confidence: 99%