Synchrotron radiation of dissipative solitons in optical fiber cavities

TL;DR

This paper analytically and numerically investigates the resonant emission of dispersive waves by oscillating dissipative solitons in optical fiber cavities, revealing resonance conditions and their impact on soliton dynamics.

Contribution

It introduces a new analytical framework for understanding resonant radiation in dissipative solitons within optical fiber cavities.

Findings

Resonance conditions for dispersive wave emission are derived.

Numerical simulations confirm the spectral lines predicted by the theory.

Radiation recoil significantly influences soliton behavior.

Abstract

New resonant emission of dispersive waves by oscillating solitary structures is considered analytically and numerically. The resonance condition for the radiation is derived and it is demonstrated that the predicted resonances match the spectral lines observed in numerical simulations perfectly. The complex recoil of the radiation on the soliton dynamics is discussed.