Interaction of high order solitons with external dispersive waves

TL;DR

This paper investigates how high order solitons interact with external dispersive waves, revealing effects like frequency shifts, spectral band formation, and the creation of solitonic cavities through resonant interactions.

Contribution

It provides new theoretical and numerical insights into the resonant interactions between second order solitons and dispersive waves, including cavity formation and spectral dynamics.

Findings

Dispersive waves can accelerate or decelerate second order solitons with frequency shifts.

Second order solitons create a periodic refractive index, leading to spectral band formation.

Multiple scattering and frequency conversion occur when dispersive waves interact with two bound second order solitons.

Abstract

We have presented theoretical and numerical studies on interactions of dispersive waves with second order solitons. Disperive wave with considerable intensity resonantly colliding with the second order solitons can lead to acceleration/decceleration of the later with subsequent central frequency shifts, but still well preserve the oscillating structure of the 2-solitons. The 2-soliton creates an effective periodical refractive index profile and thus reflected and transmitted dispersive waves generate new spectral bands with sharp peak structures. When resonant dispersive waves interact with two second order solitons bounding them, multiple scattering with multiple frequency conversion of the radiation occurs. Thus 2-solitons and radiation trapped in between them can produce effective solitonic cavity with "flat" or "concave mirrors" depending on the intensity of the input.