Dissipative soliton interaction in Kerr resonators with high-order dispersion

TL;DR

This paper investigates how high-order dispersion affects dissipative soliton interactions in Kerr resonators, revealing that Cherenkov radiation significantly enhances soliton binding and that spectral filtering can modulate these effects.

Contribution

It introduces an asymptotic approach to derive interaction equations for dissipative solitons with high-order dispersion, highlighting the role of Cherenkov radiation and spectral filtering in soliton dynamics.

Findings

Cherenkov radiation increases soliton interaction force

Multiple stable soliton bound states can form due to high-order dispersion

Spectral filtering dampens Cherenkov radiation and influences bound state stability

Abstract

We consider an optical resonator containing a photonic crystal fiber and driven coherently by an injected beam. This device is described by a generalized Lugiato-Lefever equation with fourth order dispersion. We use an asymptotic approach to derive interaction equations governing the slow time evolution of the coordinates of two interacting dissipative solitons. We show that Cherenkov radiation induced by positive fourth-order dispersion leads to a strong increase of the interaction force between the solitons. As a consequence, large number of equidistant soliton bound states in the phase space of the interaction equations can be stabilized. We show that the presence of even small spectral filtering not only dampens the Cherenkov radiation at the soliton tails and reduces the interaction strength, but can also affect the the bound state stability.