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

Abstract

For waveguides with two separate regions of anomalous dispersion, it is possible to create a quasistable two-color solitary wave. In this paper, we consider how those waves interact with dispersive radiation, i.e., both the generation of Cherenkov radiation and the 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 the 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.