Synchrotron radiation of higher order soliton

TL;DR

This paper investigates how higher order solitons emit polychromatic radiation, forming a controllable multipeak spectral band, with analytical and numerical methods confirming the radiation mechanism and its robustness under perturbations.

Contribution

It provides a comprehensive analytical and numerical analysis of the radiation mechanism of higher order solitons, including control via third order dispersion and effects of perturbations.

Findings

Higher order solitons emit multipeak spectral radiation.

Spectral position and shape are controllable by third order dispersion.

The radiation mechanism persists under Raman and self-steepening effects.

Abstract

We demonstrate radiation mechanism exhibited by higher order soliton. In a course of its evolution higher order soliton emits polychromatic radiation resulting in appearance of multipeak frequency comb like spectral band. The shape and spectral position of this band can be effectively controlled by the relative strength of the third order dispersion. An analytical description is completely corroborated by numerical simulations. An analogy between this radiation and the radiation of moving charges is presented. For longer pulses the described effect persists also under the action of higher order perturbations such as Raman and self-steepening.