Cherenkov radiation and scattering of external dispersive waves by two-color solitons

TL;DR

This paper investigates how two-color solitons in waveguides with dual anomalous dispersion regions interact with dispersive waves, deriving resonance conditions and exploring scattering and Cherenkov radiation effects.

Contribution

It introduces analytic resonance conditions for Cherenkov radiation and scattering in two-color solitons, validated by numerical experiments, and explores internal mode excitation.

Findings

Resonance conditions for Cherenkov radiation derived and verified.

Incident radiation can excite internal oscillations of the soliton.

Scattering processes can probe internal modes of two-color solitons.

Abstract

For waveguides with two separate regions of anomalous dispersion, it is possible to create a quasi-stable two-color solitary wave. In this paper we consider how those waves interact with dispersive radiation, both generation of Cherenkov radiation and scattering of incident dispersive waves. We derive the analytic resonance conditions and verify them through numeric experiments. We also report incident radiation driving the internal oscillations of the soliton during the scattering process in case of an intense incident radiation. We generalize the resonance conditions for the case of an oscillating soliton and demonstrate how one can use the scattering process to probe and excite an internal mode of two-color soliton molecules.