Effect of Cherenkov radiation on localized states interaction

TL;DR

This paper investigates how Cherenkov radiation influences the interaction of localized optical states, revealing that it extends their interaction range and aids in observing soliton bound states in fiber cavities and microresonators.

Contribution

It provides an analytical and numerical study of Cherenkov radiation's effect on localized states interaction in optical systems with third order dispersion.

Findings

Cherenkov radiation breaks symmetry in localized states interaction.

Interaction range of localized states is significantly enlarged.

Analytical predictions match numerical simulations.

Abstract

We study theoretically the interaction of temporal localized states in all fiber cavities and microresonator-based optical frequency comb generators. We show that Cherenkov radiation emitted in the presence of third order dispersion breaks the symmetry of their interaction and greatly enlarges the interaction range thus facilitating the experimental observation of the soliton bound states. Analytical derivation of the reduced equations governing slow time evolution of the positions of two interacting localized states in the Lugiato-Lefever model with third order dispersion term is performed. Numerical solutions of the model equation are in close agreement with analytical predictions.